TSTP Solution File: SCT131+1 by nanoCoP---2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : nanoCoP---2.0
% Problem : SCT131+1 : TPTP v8.1.2. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : nanocop.sh %s %d
% Computer : n018.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 1.87s 2.42s
% Output : Proof 1.87s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SCT131+1 : TPTP v8.1.2. Released v5.2.0.
% 0.06/0.12 % Command : nanocop.sh %s %d
% 0.12/0.33 % Computer : n018.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
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Thu May 18 15:45:27 EDT 2023
% 0.12/0.34 % CPUTime :
% 1.87/2.42
% 1.87/2.42 /export/starexec/sandbox2/benchmark/theBenchmark.p is a Theorem
% 1.87/2.42 Start of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.87/2.42 %-----------------------------------------------------
% 1.87/2.42 ncf(matrix, plain, [(5923 ^ _81879) ^ [] : [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_b____), v_b_H____)), hAPP(v_F, v_Q____)))], (2 ^ _81879) ^ [_81909] : [-(_81909 = _81909)], (4 ^ _81879) ^ [_81932, _81934] : [_81934 = _81932, -(_81932 = _81934)], (10 ^ _81879) ^ [_82005, _82007, _82009] : [-(_82009 = _82005), _82009 = _82007, _82007 = _82005], (20 ^ _81879) ^ [_82142, _82144, _82146, _82148] : [-(c_Nitpick_Orefl_H(_82146, _82142)), c_Nitpick_Orefl_H(_82148, _82144), _82148 = _82146, _82144 = _82142], (34 ^ _81879) ^ [_82335, _82337] : [-(c_Arrow__Order__Mirabelle_Ounanimity(_82335)), _82337 = _82335, c_Arrow__Order__Mirabelle_Ounanimity(_82337)], (44 ^ _81879) ^ [_82460, _82462] : [-(c_Arrow__Order__Mirabelle_OIIA(_82460)), _82462 = _82460, c_Arrow__Order__Mirabelle_OIIA(_82462)], (54 ^ _81879) ^ [_82585, _82587, _82589, _82591] : [-(c_Arrow__Order__Mirabelle_Odictator(_82589, _82585)), c_Arrow__Order__Mirabelle_Odictator(_82591, _82587), _82591 = _82589, _82587 = _82585], (68 ^ _81879) ^ [_82778, _82780, _82782, _82784, _82786, _82788, _82790, _82792] : [-(c_Predicate_ODomainP(_82790, _82786, _82782, _82778)), c_Predicate_ODomainP(_82792, _82788, _82784, _82780), _82792 = _82790, _82788 = _82786, _82784 = _82782, _82780 = _82778], (90 ^ _81879) ^ [_83131, _83133, _83135, _83137] : [-(c_Relation_Oirrefl(_83135, _83131)), c_Relation_Oirrefl(_83137, _83133), _83137 = _83135, _83133 = _83131], (104 ^ _81879) ^ [_83324, _83326, _83328, _83330, _83332, _83334, _83336, _83338] : [-(c_Predicate_ORangeP(_83336, _83332, _83328, _83324)), c_Predicate_ORangeP(_83338, _83334, _83330, _83326), _83338 = _83336, _83334 = _83332, _83330 = _83328, _83326 = _83324], (126 ^ _81879) ^ [_83677, _83679, _83681, _83683] : [-(c_Wellfounded_Oacyclic(_83681, _83677)), c_Wellfounded_Oacyclic(_83683, _83679), _83683 = _83681, _83679 = _83677], (140 ^ _81879) ^ [_83870, _83872, _83874, _83876, _83878, _83880] : [-(c_Relation_Osingle__valued(_83878, _83874, _83870)), c_Relation_Osingle__valued(_83880, _83876, _83872), _83880 = _83878, _83876 = _83874, _83872 = _83870], (158 ^ _81879) ^ [_84139, _84141, _84143, _84145, _84147, _84149, _84151, _84153] : [-(c_Recdef_Oadm__wf(_84151, _84147, _84143, _84139)), c_Recdef_Oadm__wf(_84153, _84149, _84145, _84141), _84153 = _84151, _84149 = _84147, _84145 = _84143, _84141 = _84139], (180 ^ _81879) ^ [_84492, _84494, _84496, _84498] : [-(c_Wellfounded_OwfP(_84496, _84492)), c_Wellfounded_OwfP(_84498, _84494), _84498 = _84496, _84494 = _84492], (194 ^ _81879) ^ [_84685, _84687, _84689, _84691] : [-(c_Wellfounded_Owf(_84689, _84685)), c_Wellfounded_Owf(_84691, _84687), _84691 = _84689, _84687 = _84685], (208 ^ _81879) ^ [_84878, _84880, _84882, _84884, _84886, _84888] : [-(c_Orderings_Oord__class_Oless__eq(_84886, _84882, _84878)), c_Orderings_Oord__class_Oless__eq(_84888, _84884, _84880), _84888 = _84886, _84884 = _84882, _84880 = _84878], (226 ^ _81879) ^ [_85147, _85149, _85151, _85153, _85155, _85157] : [-(c_Relation_Orefl__on(_85155, _85151, _85147)), c_Relation_Orefl__on(_85157, _85153, _85149), _85157 = _85155, _85153 = _85151, _85149 = _85147], (244 ^ _81879) ^ [_85416, _85418, _85420, _85422, _85424, _85426] : [-(c_Relation_Ototal__on(_85424, _85420, _85416)), c_Relation_Ototal__on(_85426, _85422, _85418), _85426 = _85424, _85422 = _85420, _85418 = _85416], (262 ^ _81879) ^ [_85685, _85687, _85689, _85691] : [-(c_Relation_Oantisym(_85689, _85685)), c_Relation_Oantisym(_85691, _85687), _85691 = _85689, _85687 = _85685], (276 ^ _81879) ^ [_85878, _85880] : [-(class_Lattices_Obounded__lattice(_85878)), _85880 = _85878, class_Lattices_Obounded__lattice(_85880)], (286 ^ _81879) ^ [_86003, _86005] : [-(class_Orderings_Olinorder(_86003)), _86005 = _86003, class_Orderings_Olinorder(_86005)], (296 ^ _81879) ^ [_86128, _86130] : [-(class_Lattices_Obounded__lattice__bot(_86128)), _86130 = _86128, class_Lattices_Obounded__lattice__bot(_86130)], (306 ^ _81879) ^ [_86253, _86255] : [-(class_Lattices_Osemilattice__sup(_86253)), _86255 = _86253, class_Lattices_Osemilattice__sup(_86255)], (316 ^ _81879) ^ [_86378, _86380] : [-(class_Lattices_Osemilattice__inf(_86378)), _86380 = _86378, class_Lattices_Osemilattice__inf(_86380)], (326 ^ _81879) ^ [_86503, _86505] : [-(class_Lattices_Odistrib__lattice(_86503)), _86505 = _86503, class_Lattices_Odistrib__lattice(_86505)], (336 ^ _81879) ^ [_86628, _86630] : [-(class_Orderings_Opreorder(_86628)), _86630 = _86628, class_Orderings_Opreorder(_86630)], (346 ^ _81879) ^ [_86753, _86755] : [-(class_Lattices_Olattice(_86753)), _86755 = _86753, class_Lattices_Olattice(_86755)], (356 ^ _81879) ^ [_86878, _86880] : [-(class_Orderings_Oorder(_86878)), _86880 = _86878, class_Orderings_Oorder(_86880)], (366 ^ _81879) ^ [_87003, _87005] : [-(class_Orderings_Oord(_87003)), _87005 = _87003, class_Orderings_Oord(_87005)], (376 ^ _81879) ^ [_87128, _87130] : [-(class_Orderings_Obot(_87128)), _87130 = _87128, class_Orderings_Obot(_87130)], (386 ^ _81879) ^ [_87249, _87251] : [-(hBOOL(_87249)), _87251 = _87249, hBOOL(_87251)], (396 ^ _81879) ^ [_87460, _87462, _87464, _87466] : [-(c_Arrow__Order__Mirabelle_Omkbot(_87466, _87462) = c_Arrow__Order__Mirabelle_Omkbot(_87464, _87460)), _87466 = _87464, _87462 = _87460], (406 ^ _81879) ^ [_87609, _87611, _87613, _87615] : [-(c_Arrow__Order__Mirabelle_Omktop(_87615, _87611) = c_Arrow__Order__Mirabelle_Omktop(_87613, _87609)), _87615 = _87613, _87611 = _87609], (416 ^ _81879) ^ [_87758, _87760, _87762, _87764, _87766, _87768, _87770, _87772] : [-(c_HOL_OLet(_87772, _87768, _87764, _87760) = c_HOL_OLet(_87770, _87766, _87762, _87758)), _87772 = _87770, _87768 = _87766, _87764 = _87762, _87760 = _87758], (434 ^ _81879) ^ [_88059, _88061, _88063, _88065, _88067, _88069] : [-(c_Arrow__Order__Mirabelle_Obelow(_88069, _88065, _88061) = c_Arrow__Order__Mirabelle_Obelow(_88067, _88063, _88059)), _88069 = _88067, _88065 = _88063, _88061 = _88059], (448 ^ _81879) ^ [_88280, _88282, _88284, _88286] : [-(c_If(_88286, _88282) = c_If(_88284, _88280)), _88286 = _88284, _88282 = _88280], (458 ^ _81879) ^ [_88429, _88431, _88433, _88435, _88437, _88439, _88441, _88443, _88445, _88447, _88449, _88451] : [-(c_FuncSet_Ocompose(_88451, _88447, _88443, _88439, _88435, _88431) = c_FuncSet_Ocompose(_88449, _88445, _88441, _88437, _88433, _88429)), _88451 = _88449, _88447 = _88445, _88443 = _88441, _88439 = _88437, _88435 = _88433, _88431 = _88429], (484 ^ _81879) ^ [_88914, _88916, _88918, _88920, _88922, _88924, _88926, _88928] : [-(c_FuncSet_Orestrict(_88928, _88924, _88920, _88916) = c_FuncSet_Orestrict(_88926, _88922, _88918, _88914)), _88928 = _88926, _88924 = _88922, _88920 = _88918, _88916 = _88914], (502 ^ _81879) ^ [_89215, _89217, _89219, _89221, _89223, _89225, _89227, _89229] : [-(c_Relation_Oinv__image(_89229, _89225, _89221, _89217) = c_Relation_Oinv__image(_89227, _89223, _89219, _89215)), _89229 = _89227, _89225 = _89223, _89221 = _89219, _89217 = _89215], (520 ^ _81879) ^ [_89516, _89518, _89520, _89522, _89524, _89526, _89528, _89530] : [-(c_Wellfounded_Olex__prod(_89530, _89526, _89522, _89518) = c_Wellfounded_Olex__prod(_89528, _89524, _89520, _89516)), _89530 = _89528, _89526 = _89524, _89522 = _89520, _89518 = _89516], (538 ^ _81879) ^ [_89817, _89819, _89821, _89823] : [-(c_Wellfounded_Oacc(_89823, _89819) = c_Wellfounded_Oacc(_89821, _89817)), _89823 = _89821, _89819 = _89817], (548 ^ _81879) ^ [_89966, _89968, _89970, _89972] : [-(c_Wellfounded_Omeasure(_89972, _89968) = c_Wellfounded_Omeasure(_89970, _89966)), _89972 = _89970, _89968 = _89966], (558 ^ _81879) ^ [_90115, _90117, _90119, _90121, _90123, _90125, _90127, _90129, _90131, _90133] : [-(c_Fun_Ofun__upd(_90133, _90129, _90125, _90121, _90117) = c_Fun_Ofun__upd(_90131, _90127, _90123, _90119, _90115)), _90133 = _90131, _90129 = _90127, _90125 = _90123, _90121 = _90119, _90117 = _90115], (580 ^ _81879) ^ [_90504, _90506, _90508, _90510, _90512, _90514, _90516, _90518] : [-(c_Recdef_Osame__fst(_90518, _90514, _90510, _90506) = c_Recdef_Osame__fst(_90516, _90512, _90508, _90504)), _90518 = _90516, _90514 = _90512, _90510 = _90508, _90506 = _90504], (598 ^ _81879) ^ [_90805, _90807, _90809, _90811, _90813, _90815, _90817, _90819] : [-(c_Recdef_Owfrec(_90819, _90815, _90811, _90807) = c_Recdef_Owfrec(_90817, _90813, _90809, _90805)), _90819 = _90817, _90815 = _90813, _90811 = _90809, _90807 = _90805], (616 ^ _81879) ^ [_91106, _91108, _91110, _91112, _91114, _91116] : [-(c_Wellfounded_Omlex__prod(_91116, _91112, _91108) = c_Wellfounded_Omlex__prod(_91114, _91110, _91106)), _91116 = _91114, _91112 = _91110, _91108 = _91106], (630 ^ _81879) ^ [_91327, _91329, _91331, _91333, _91335, _91337, _91339, _91341, _91343, _91345] : [-(c_Nitpick_Owfrec_H(_91345, _91341, _91337, _91333, _91329) = c_Nitpick_Owfrec_H(_91343, _91339, _91335, _91331, _91327)), _91345 = _91343, _91341 = _91339, _91337 = _91335, _91333 = _91331, _91329 = _91327], (652 ^ _81879) ^ [_91716, _91718, _91720, _91722, _91724, _91726, _91728, _91730, _91732, _91734] : [-(c_Recdef_Owfrec__rel(_91734, _91730, _91726, _91722, _91718) = c_Recdef_Owfrec__rel(_91732, _91728, _91724, _91720, _91716)), _91734 = _91732, _91730 = _91728, _91726 = _91724, _91722 = _91720, _91718 = _91716], (674 ^ _81879) ^ [_92105, _92107, _92109, _92111, _92113, _92115, _92117, _92119, _92121, _92123] : [-(c_Nitpick_Owf__wfrec_H(_92123, _92119, _92115, _92111, _92107) = c_Nitpick_Owf__wfrec_H(_92121, _92117, _92113, _92109, _92105)), _92123 = _92121, _92119 = _92117, _92115 = _92113, _92111 = _92109, _92107 = _92105], (696 ^ _81879) ^ [_92494, _92496, _92498, _92500] : [-(c_Recdef_Ocut(_92500, _92496) = c_Recdef_Ocut(_92498, _92494)), _92500 = _92498, _92496 = _92494], (706 ^ _81879) ^ [_92643, _92645, _92647, _92649, _92651, _92653, _92655, _92657] : [-(c_Nitpick_Owf__wfrec(_92657, _92653, _92649, _92645) = c_Nitpick_Owf__wfrec(_92655, _92651, _92647, _92643)), _92657 = _92655, _92653 = _92651, _92649 = _92647, _92645 = _92643], (724 ^ _81879) ^ [_92944, _92946, _92948, _92950] : [-(c_Wellfounded_Oaccp(_92950, _92946) = c_Wellfounded_Oaccp(_92948, _92944)), _92950 = _92948, _92946 = _92944], (734 ^ _81879) ^ [_93093, _93095, _93097, _93099] : [-(c_Transitive__Closure_Otranclp(_93099, _93095) = c_Transitive__Closure_Otranclp(_93097, _93093)), _93099 = _93097, _93095 = _93093], (744 ^ _81879) ^ [_93242, _93244, _93246, _93248, _93250, _93252] : [-(c_FunDef_Oin__rel(_93252, _93248, _93244) = c_FunDef_Oin__rel(_93250, _93246, _93242)), _93252 = _93250, _93248 = _93246, _93244 = _93242], (758 ^ _81879) ^ [_93463, _93465, _93467, _93469, _93471, _93473, _93475, _93477, _93479, _93481] : [-(c_Fun_Othe__inv__into(_93481, _93477, _93473, _93469, _93465) = c_Fun_Othe__inv__into(_93479, _93475, _93471, _93467, _93463)), _93481 = _93479, _93477 = _93475, _93473 = _93471, _93469 = _93467, _93465 = _93463], (780 ^ _81879) ^ [_93852, _93854, _93856, _93858] : [-(c_HOL_OThe(_93858, _93854) = c_HOL_OThe(_93856, _93852)), _93858 = _93856, _93854 = _93852], (790 ^ _81879) ^ [_94001, _94003, _94005, _94007, _94009, _94011, _94013, _94015, _94017, _94019] : [-(c_Product__Type_Oprod_Oprod__rec(_94019, _94015, _94011, _94007, _94003) = c_Product__Type_Oprod_Oprod__rec(_94017, _94013, _94009, _94005, _94001)), _94019 = _94017, _94015 = _94013, _94011 = _94009, _94007 = _94005, _94003 = _94001], (812 ^ _81879) ^ [_94390, _94392, _94394, _94396, _94398, _94400, _94402, _94404, _94406, _94408] : [-(c_Product__Type_Ointernal__split(_94408, _94404, _94400, _94396, _94392) = c_Product__Type_Ointernal__split(_94406, _94402, _94398, _94394, _94390)), _94408 = _94406, _94404 = _94402, _94400 = _94398, _94396 = _94394, _94392 = _94390], (834 ^ _81879) ^ [_94779, _94781, _94783, _94785, _94787, _94789, _94791, _94793] : [-(c_Product__Type_OSigma(_94793, _94789, _94785, _94781) = c_Product__Type_OSigma(_94791, _94787, _94783, _94779)), _94793 = _94791, _94789 = _94787, _94785 = _94783, _94781 = _94779], (852 ^ _81879) ^ [_95080, _95082, _95084, _95086] : [-(c_Transitive__Closure_Ortrancl(_95086, _95082) = c_Transitive__Closure_Ortrancl(_95084, _95080)), _95086 = _95084, _95082 = _95080], (862 ^ _81879) ^ [_95229, _95231] : [_95231 = _95229, -(c_Lattices_Osemilattice__sup__class_Osup(_95231) = c_Lattices_Osemilattice__sup__class_Osup(_95229))], (868 ^ _81879) ^ [_95314, _95316, _95318, _95320, _95322, _95324] : [-(c_FuncSet_Oextensional(_95324, _95320, _95316) = c_FuncSet_Oextensional(_95322, _95318, _95314)), _95324 = _95322, _95320 = _95318, _95316 = _95314], (882 ^ _81879) ^ [_95535, _95537] : [_95537 = _95535, -(c_HOL_Oundefined(_95537) = c_HOL_Oundefined(_95535))], (888 ^ _81879) ^ [_95620, _95622, _95624, _95626, _95628, _95630] : [-(c_Set_Oinsert(_95630, _95626, _95622) = c_Set_Oinsert(_95628, _95624, _95620)), _95630 = _95628, _95626 = _95624, _95622 = _95620], (902 ^ _81879) ^ [_95841, _95843, _95845, _95847] : [-(c_Transitive__Closure_Otrancl(_95847, _95843) = c_Transitive__Closure_Otrancl(_95845, _95841)), _95847 = _95845, _95843 = _95841], (912 ^ _81879) ^ [_95990, _95992, _95994, _95996, _95998, _96000] : [-(c_Relation_ODomain(_96000, _95996, _95992) = c_Relation_ODomain(_95998, _95994, _95990)), _96000 = _95998, _95996 = _95994, _95992 = _95990], (926 ^ _81879) ^ [_96211, _96213, _96215, _96217, _96219, _96221, _96223, _96225] : [-(c_FuncSet_OPi(_96225, _96221, _96217, _96213) = c_FuncSet_OPi(_96223, _96219, _96215, _96211)), _96225 = _96223, _96221 = _96219, _96217 = _96215, _96213 = _96211], (944 ^ _81879) ^ [_96512, _96514, _96516, _96518, _96520, _96522, _96524, _96526] : [-(c_FuncSet_Oextensional__funcset(_96526, _96522, _96518, _96514) = c_FuncSet_Oextensional__funcset(_96524, _96520, _96516, _96512)), _96526 = _96524, _96522 = _96520, _96518 = _96516, _96514 = _96512], (962 ^ _81879) ^ [_96813, _96815, _96817, _96819] : [-(c_Relation_OId__on(_96819, _96815) = c_Relation_OId__on(_96817, _96813)), _96819 = _96817, _96815 = _96813], (972 ^ _81879) ^ [_96962, _96964, _96966, _96968, _96970, _96972] : [-(c_Relation_ORange(_96972, _96968, _96964) = c_Relation_ORange(_96970, _96966, _96962)), _96972 = _96970, _96968 = _96966, _96964 = _96962], (986 ^ _81879) ^ [_97183, _97185] : [_97185 = _97183, -(c_Lattices_Osemilattice__inf__class_Oinf(_97185) = c_Lattices_Osemilattice__inf__class_Oinf(_97183))], (992 ^ _81879) ^ [_97268, _97270] : [_97270 = _97268, -(c_Orderings_Obot__class_Obot(_97270) = c_Orderings_Obot__class_Obot(_97268))], (998 ^ _81879) ^ [_97353, _97355, _97357, _97359] : [-(tc_fun(_97359, _97355) = tc_fun(_97357, _97353)), _97359 = _97357, _97355 = _97353], (1008 ^ _81879) ^ [_97502, _97504] : [_97504 = _97502, -(c_COMBI(_97504) = c_COMBI(_97502))], (1014 ^ _81879) ^ [_97587, _97589, _97591, _97593, _97595, _97597] : [-(c_COMBK(_97597, _97593, _97589) = c_COMBK(_97595, _97591, _97587)), _97597 = _97595, _97593 = _97591, _97589 = _97587], (1028 ^ _81879) ^ [_97808, _97810, _97812, _97814, _97816, _97818, _97820, _97822] : [-(c_COMBB(_97822, _97818, _97814, _97810) = c_COMBB(_97820, _97816, _97812, _97808)), _97822 = _97820, _97818 = _97816, _97814 = _97812, _97810 = _97808], (1046 ^ _81879) ^ [_98109, _98111, _98113, _98115, _98117, _98119] : [-(c_COMBC(_98119, _98115, _98111) = c_COMBC(_98117, _98113, _98109)), _98119 = _98117, _98115 = _98113, _98111 = _98109], (1060 ^ _81879) ^ [_98330, _98332, _98334, _98336, _98338, _98340] : [-(c_COMBS(_98340, _98336, _98332) = c_COMBS(_98338, _98334, _98330)), _98340 = _98338, _98336 = _98334, _98332 = _98330], (1074 ^ _81879) ^ [_98551, _98553] : [_98553 = _98551, -(c_member(_98553) = c_member(_98551))], (1080 ^ _81879) ^ [_98636, _98638, _98640, _98642] : [-(tc_prod(_98642, _98638) = tc_prod(_98640, _98636)), _98642 = _98640, _98638 = _98636], (1090 ^ _81879) ^ [_98785, _98787, _98789, _98791] : [-(c_Product__Type_OPair(_98791, _98787) = c_Product__Type_OPair(_98789, _98785)), _98791 = _98789, _98787 = _98785], (1100 ^ _81879) ^ [_98930, _98932, _98934, _98936] : [-(hAPP(_98936, _98932) = hAPP(_98934, _98930)), _98936 = _98934, _98932 = _98930], (1110 ^ _81879) ^ [_99329, _99331] : [hAPP(_99329, 1111 ^ [_99329, _99331]) = hAPP(_99331, 1111 ^ [_99329, _99331]), -(_99329 = _99331)], (1117 ^ _81879) ^ [] : [-(c_Arrow__Order__Mirabelle_Ounanimity(v_F))], (1119 ^ _81879) ^ [] : [-(c_Arrow__Order__Mirabelle_OIIA(v_F))], (1121 ^ _81879) ^ [] : [v_b____ = v_b_H____], (1123 ^ _81879) ^ [] : [v_b____ = v_a_H____], (1125 ^ _81879) ^ [_99539] : [-(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_b____), v_b_H____)), hAPP(v_Q____, _99539))))], (1127 ^ _81879) ^ [] : [v_a_H____ = v_b_H____], (1129 ^ _81879) ^ [] : [v_a____ = v_b____], (1131 ^ _81879) ^ [] : [v_a____ = v_b_H____], (1133 ^ _81879) ^ [] : [-(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_Q____))))], (1135 ^ _81879) ^ [] : [-(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____))))], (1137 ^ _81879) ^ [_99675, _99677, _99679, _99681] : [_99675 = _99677, 1142 ^ _81879 : [(1143 ^ _81879) ^ [] : [-(hBOOL(hAPP(hAPP(c_member(_99679), _99681), _99675)))], (1145 ^ _81879) ^ [] : [-(hBOOL(hAPP(hAPP(c_member(_99679), _99681), _99677)))]], 1146 ^ _81879 : [(1147 ^ _81879) ^ [] : [hBOOL(hAPP(hAPP(c_member(_99679), _99681), _99675))], (1149 ^ _81879) ^ [] : [hBOOL(hAPP(hAPP(c_member(_99679), _99681), _99677))]]], (1169 ^ _81879) ^ [_100227, _100229, _100231, _100233] : [-(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), _100227), _100229)), c_Arrow__Order__Mirabelle_Omkbot(_100231, _100233)))), -(_100229 = _100233), 1176 ^ _81879 : [(1177 ^ _81879) ^ [] : [-(_100227 = _100233)], (1179 ^ _81879) ^ [] : [-(_100227 = _100229)]], 1180 ^ _81879 : [(1181 ^ _81879) ^ [] : [_100227 = _100233], (1183 ^ _81879) ^ [] : [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), _100227), _100229)), _100231))]]], (1151 ^ _81879) ^ [_99959, _99961, _99963, _99965] : [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), _99959), _99961)), c_Arrow__Order__Mirabelle_Omkbot(_99963, _99965))), 1154 ^ _81879 : [(1155 ^ _81879) ^ [] : [_99961 = _99965], (1157 ^ _81879) ^ [] : [_99959 = _99965, _99959 = _99961], (1163 ^ _81879) ^ [] : [-(_99959 = _99965), -(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), _99959), _99961)), _99963)))]]], (1205 ^ _81879) ^ [_100833, _100835, _100837, _100839] : [-(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), _100833), _100835)), c_Arrow__Order__Mirabelle_Omktop(_100837, _100839)))), -(_100833 = _100839), 1212 ^ _81879 : [(1213 ^ _81879) ^ [] : [-(_100835 = _100839)], (1215 ^ _81879) ^ [] : [-(_100833 = _100835)]], 1216 ^ _81879 : [(1217 ^ _81879) ^ [] : [_100835 = _100839], (1219 ^ _81879) ^ [] : [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), _100833), _100835)), _100837))]]], (1187 ^ _81879) ^ [_100565, _100567, _100569, _100571] : [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), _100565), _100567)), c_Arrow__Order__Mirabelle_Omktop(_100569, _100571))), 1190 ^ _81879 : [(1191 ^ _81879) ^ [] : [_100565 = _100571], (1193 ^ _81879) ^ [] : [_100567 = _100571, _100565 = _100567], (1199 ^ _81879) ^ [] : [-(_100567 = _100571), -(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), _100565), _100567)), _100569)))]]], (1223 ^ _81879) ^ [] : [-(v_a____ = v_a_H____), -(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_a____)), hAPP(v_F, v_Q____))))], (1229 ^ _81879) ^ [_101184] : [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____, _101184))), -(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_Q____, _101184))))], (1235 ^ _81879) ^ [_101275] : [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_Q____, _101275))), -(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____, _101275))))], (1241 ^ _81879) ^ [_101396, _101398, _101400, _101402, _101404] : [hBOOL(hAPP(hAPP(c_FunDef_Oin__rel(_101396, _101398, _101400), _101402), _101404)), -(hBOOL(hAPP(hAPP(c_member(tc_prod(_101396, _101398)), hAPP(hAPP(c_Product__Type_OPair(_101396, _101398), _101402), _101404)), _101400)))], (1247 ^ _81879) ^ [_101531, _101533, _101535, _101537, _101539] : [hBOOL(hAPP(hAPP(c_member(tc_prod(_101531, _101533)), hAPP(hAPP(c_Product__Type_OPair(_101531, _101533), _101537), _101539)), _101535)), -(hBOOL(hAPP(hAPP(c_FunDef_Oin__rel(_101531, _101533, _101535), _101537), _101539)))], (1253 ^ _81879) ^ [_101672, _101674, _101676, _101678, _101680, _101682, _101684] : [hBOOL(hAPP(_101672, _101674)), hBOOL(hAPP(hAPP(c_member(tc_prod(_101676, _101676)), hAPP(hAPP(c_Product__Type_OPair(_101676, _101676), _101678), _101680)), hAPP(_101682, _101674))), -(hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(_101684, _101676), tc_prod(_101684, _101676))), hAPP(hAPP(c_Product__Type_OPair(tc_prod(_101684, _101676), tc_prod(_101684, _101676)), hAPP(hAPP(c_Product__Type_OPair(_101684, _101676), _101674), _101678)), hAPP(hAPP(c_Product__Type_OPair(_101684, _101676), _101674), _101680))), c_Recdef_Osame__fst(_101684, _101676, _101672, _101682))))], (1263 ^ _81879) ^ [_101989] : [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____, _101989))), -(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____, _101989))))], (1269 ^ _81879) ^ [_102080] : [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____, _102080))), -(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____, _102080))))], (1275 ^ _81879) ^ [_102192, _102194] : [c_Nitpick_Orefl_H(_102192, _102194), 1278 ^ _81879 : [(1279 ^ _81879) ^ [_102270] : [-(hBOOL(hAPP(hAPP(c_member(tc_prod(_102192, _102192)), hAPP(hAPP(c_Product__Type_OPair(_102192, _102192), _102270), _102270)), _102194)))]]], (1281 ^ _81879) ^ [_102312, _102314] : [hBOOL(hAPP(hAPP(c_member(tc_prod(_102312, _102312)), hAPP(hAPP(c_Product__Type_OPair(_102312, _102312), 1282 ^ [_102312, _102314]), 1282 ^ [_102312, _102314])), _102314)), -(c_Nitpick_Orefl_H(_102312, _102314))], (1288 ^ _81879) ^ [] : [-(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)))], (1290 ^ _81879) ^ [] : [-(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)))], (1292 ^ _81879) ^ [] : [-(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)))], (1294 ^ _81879) ^ [_102533, _102535] : [hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool)), _102533), 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(_102533, _102535)), c_Arrow__Order__Mirabelle_OLin)))], (1300 ^ _81879) ^ [_102636, _102638] : [hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool)), _102636), 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(_102636, _102638)), c_Arrow__Order__Mirabelle_OLin)))], (1306 ^ _81879) ^ [_102739, _102741, _102743] : [hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool)), _102739), 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), _102741), _102743)), _102739)), 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), _102743), _102741)), _102739))], (1316 ^ _81879) ^ [_102927, _102929, _102931] : [hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool)), _102927), c_Arrow__Order__Mirabelle_OLin)), -(_102929 = _102931), 1323 ^ _81879 : [(1324 ^ _81879) ^ [] : [-(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), _102929), _102931)), _102927))), -(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), _102931), _102929)), _102927)))], (1330 ^ _81879) ^ [] : [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), _102931), _102929)), _102927)), 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), _102929), _102931)), _102927))]]], (1336 ^ _81879) ^ [_103229, _103231, _103233, _103235] : [_103229 = _103231, hBOOL(hAPP(hAPP(c_member(_103233), _103231), _103235)), -(hBOOL(hAPP(hAPP(c_member(_103233), _103229), _103235)))], (1346 ^ _81879) ^ [_103394, _103396, _103398, _103400] : [_103394 = _103396, 1349 ^ _81879 : [(1350 ^ _81879) ^ [] : [hBOOL(hAPP(hAPP(c_member(_103398), _103394), _103400)), -(hBOOL(hAPP(hAPP(c_member(_103398), _103396), _103400)))], (1356 ^ _81879) ^ [] : [hBOOL(hAPP(hAPP(c_member(_103398), _103396), _103400)), -(hBOOL(hAPP(hAPP(c_member(_103398), _103394), _103400)))]]], (1362 ^ _81879) ^ [_103655, _103657, _103659, _103661] : [_103655 = _103657, 1365 ^ _81879 : [(1366 ^ _81879) ^ [] : [hBOOL(hAPP(hAPP(c_member(_103659), _103661), _103655)), -(hBOOL(hAPP(hAPP(c_member(_103659), _103661), _103657)))], (1372 ^ _81879) ^ [] : [hBOOL(hAPP(hAPP(c_member(_103659), _103661), _103657)), -(hBOOL(hAPP(hAPP(c_member(_103659), _103661), _103655)))]]], (1378 ^ _81879) ^ [_103934, _103936, _103938] : [hBOOL(hAPP(hAPP(c_member(_103934), _103936), _103938)), -(hBOOL(hAPP(_103938, _103936)))], (1384 ^ _81879) ^ [_104027, _104029, _104031] : [hBOOL(hAPP(_104031, _104029)), -(hBOOL(hAPP(hAPP(c_member(_104027), _104029), _104031)))], (1390 ^ _81879) ^ [] : [-(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)))], (1392 ^ _81879) ^ [_104143, _104145, _104147, _104149, _104151] : [-(_104143 = _104145), hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool)), _104147), c_Arrow__Order__Mirabelle_OLin)), 1399 ^ _81879 : [(1432 ^ _81879) ^ [] : [-(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), _104149), _104151)), c_Arrow__Order__Mirabelle_Obelow(_104147, _104143, _104145)))), -(_104149 = _104151), 1439 ^ _81879 : [(1440 ^ _81879) ^ [] : [-(_104151 = _104143)], (1442 ^ _81879) ^ [] : [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), _104149), _104145)), _104147))]], 1443 ^ _81879 : [(1444 ^ _81879) ^ [] : [_104151 = _104143], (1446 ^ _81879) ^ [] : [1447 ^ _81879 : [(1448 ^ _81879) ^ [] : [-(_104149 = _104143)], (1450 ^ _81879) ^ [] : [_104151 = _104145], (1452 ^ _81879) ^ [] : [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), _104145), _104151)), _104147))]], 1453 ^ _81879 : [(1454 ^ _81879) ^ [] : [_104149 = _104143], (1456 ^ _81879) ^ [] : [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), _104149), _104151)), _104147))]]]]], (1400 ^ _81879) ^ [] : [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), _104149), _104151)), c_Arrow__Order__Mirabelle_Obelow(_104147, _104143, _104145))), 1403 ^ _81879 : [(1404 ^ _81879) ^ [] : [_104149 = _104151], (1406 ^ _81879) ^ [] : [_104151 = _104143, -(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), _104149), _104145)), _104147)))], (1412 ^ _81879) ^ [] : [-(_104151 = _104143), 1415 ^ _81879 : [(1426 ^ _81879) ^ [] : [-(_104149 = _104143), -(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), _104149), _104151)), _104147)))], (1416 ^ _81879) ^ [] : [_104149 = _104143, -(_104151 = _104145), -(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), _104145), _104151)), _104147)))]]]]]]], (1460 ^ _81879) ^ [_105185, _105187, _105189, _105191, _105193] : [-(_105185 = _105187), hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool)), _105189), c_Arrow__Order__Mirabelle_OLin)), 1467 ^ _81879 : [(1500 ^ _81879) ^ [] : [-(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), _105191), _105193)), hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Oabove, _105189), _105185), _105187)))), -(_105191 = _105193), 1507 ^ _81879 : [(1508 ^ _81879) ^ [] : [-(_105191 = _105187)], (1510 ^ _81879) ^ [] : [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), _105185), _105193)), _105189))]], 1511 ^ _81879 : [(1512 ^ _81879) ^ [] : [_105191 = _105187], (1514 ^ _81879) ^ [] : [1515 ^ _81879 : [(1516 ^ _81879) ^ [] : [-(_105193 = _105187)], (1518 ^ _81879) ^ [] : [_105191 = _105185], (1520 ^ _81879) ^ [] : [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), _105191), _105185)), _105189))]], 1521 ^ _81879 : [(1522 ^ _81879) ^ [] : [_105193 = _105187], (1524 ^ _81879) ^ [] : [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), _105191), _105193)), _105189))]]]]], (1468 ^ _81879) ^ [] : [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), _105191), _105193)), hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Oabove, _105189), _105185), _105187))), 1471 ^ _81879 : [(1472 ^ _81879) ^ [] : [_105191 = _105193], (1474 ^ _81879) ^ [] : [_105191 = _105187, -(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), _105185), _105193)), _105189)))], (1480 ^ _81879) ^ [] : [-(_105191 = _105187), 1483 ^ _81879 : [(1494 ^ _81879) ^ [] : [-(_105193 = _105187), -(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), _105191), _105193)), _105189)))], (1484 ^ _81879) ^ [] : [_105193 = _105187, -(_105191 = _105185), -(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), _105191), _105185)), _105189)))]]]]]]], (1528 ^ _81879) ^ [_106242, _106244, _106246] : [-(_106242 = _106244), hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool)), _106246), 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, _106246), _106242), _106244)), c_Arrow__Order__Mirabelle_OLin)))], (1538 ^ _81879) ^ [_106410, _106412, _106414] : [-(_106410 = _106412), hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool)), _106414), 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(_106414, _106410, _106412)), c_Arrow__Order__Mirabelle_OLin)))], (1548 ^ _81879) ^ [_106569] : [-(hAPP(v_Q____, _106569) = 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____, _106569)), c_Arrow__Order__Mirabelle_Obelow(hAPP(v_P____, _106569), 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____))))], (1550 ^ _81879) ^ [_106649, _106651, _106653, _106655, _106657, _106659, _106661, _106663] : [hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(_106649, _106651), tc_prod(_106649, _106651))), hAPP(hAPP(c_Product__Type_OPair(tc_prod(_106649, _106651), tc_prod(_106649, _106651)), hAPP(hAPP(c_Product__Type_OPair(_106649, _106651), _106653), _106655)), hAPP(hAPP(c_Product__Type_OPair(_106649, _106651), _106657), _106659))), c_Wellfounded_Olex__prod(_106649, _106651, _106661, _106663))), -(hBOOL(hAPP(hAPP(c_member(tc_prod(_106649, _106649)), hAPP(hAPP(c_Product__Type_OPair(_106649, _106649), _106653), _106657)), _106661))), 1557 ^ _81879 : [(1558 ^ _81879) ^ [] : [-(_106653 = _106657)], (1560 ^ _81879) ^ [] : [-(hBOOL(hAPP(hAPP(c_member(tc_prod(_106651, _106651)), hAPP(hAPP(c_Product__Type_OPair(_106651, _106651), _106655), _106659)), _106663)))]]], (1562 ^ _81879) ^ [_106974, _106976, _106978, _106980, _106982, _106984, _106986, _106988] : [-(hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(_106974, _106976), tc_prod(_106974, _106976))), hAPP(hAPP(c_Product__Type_OPair(tc_prod(_106974, _106976), tc_prod(_106974, _106976)), hAPP(hAPP(c_Product__Type_OPair(_106974, _106976), _106978), _106980)), hAPP(hAPP(c_Product__Type_OPair(_106974, _106976), _106982), _106984))), c_Wellfounded_Olex__prod(_106974, _106976, _106986, _106988)))), 1563 ^ _81879 : [(1564 ^ _81879) ^ [] : [hBOOL(hAPP(hAPP(c_member(tc_prod(_106974, _106974)), hAPP(hAPP(c_Product__Type_OPair(_106974, _106974), _106978), _106982)), _106986))], (1566 ^ _81879) ^ [] : [_106978 = _106982, hBOOL(hAPP(hAPP(c_member(tc_prod(_106976, _106976)), hAPP(hAPP(c_Product__Type_OPair(_106976, _106976), _106980), _106984)), _106988))]]], (1574 ^ _81879) ^ [_107345, _107347] : [-(_107345 = _107347), 1578 ^ _81879 : [(1579 ^ _81879) ^ [] : [-(hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool)), 1577 ^ [_107345, _107347]), c_Arrow__Order__Mirabelle_OLin)))], (1581 ^ _81879) ^ [] : [-(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), _107345), _107347)), 1577 ^ [_107345, _107347])))]]], (1583 ^ _81879) ^ [_107475, _107477, _107479, _107481, _107483, _107485] : [hBOOL(hAPP(c_Recdef_Owfrec__rel(_107475, _107477, _107479, _107481, _107483), hAPP(hAPP(_107481, _107485), _107483))), 1587 ^ _81879 : [(1588 ^ _81879) ^ [] : [-(hAPP(hAPP(_107481, _107485), _107483) = hAPP(hAPP(_107481, 1586 ^ [_107475, _107477, _107479, _107481, _107483, _107485]), _107483))], (1590 ^ _81879) ^ [_107737] : [hBOOL(hAPP(hAPP(c_member(tc_prod(_107475, _107475)), hAPP(hAPP(c_Product__Type_OPair(_107475, _107475), _107737), _107483)), _107479)), -(hBOOL(hAPP(c_Recdef_Owfrec__rel(_107475, _107477, _107479, _107481, _107737), hAPP(1586 ^ [_107475, _107477, _107479, _107481, _107483, _107485], _107737))))]]], (1596 ^ _81879) ^ [_107916, _107918, _107920, _107922, _107924, _107926] : [-(hBOOL(hAPP(c_Recdef_Owfrec__rel(_107916, _107918, _107920, _107922, _107924), hAPP(hAPP(_107922, _107926), _107924)))), 1597 ^ _81879 : [(1598 ^ _81879) ^ [_108031] : [hAPP(hAPP(_107922, _107926), _107924) = hAPP(hAPP(_107922, _108031), _107924), 1602 ^ _81879 : [(1603 ^ _81879) ^ [] : [-(hBOOL(hAPP(hAPP(c_member(tc_prod(_107916, _107916)), hAPP(hAPP(c_Product__Type_OPair(_107916, _107916), 1601 ^ [_107916, _107918, _107920, _107922, _107924, _107926, _108031]), _107924)), _107920)))], (1605 ^ _81879) ^ [] : [hBOOL(hAPP(c_Recdef_Owfrec__rel(_107916, _107918, _107920, _107922, 1601 ^ [_107916, _107918, _107920, _107922, _107924, _107926, _108031]), hAPP(_108031, 1601 ^ [_107916, _107918, _107920, _107922, _107924, _107926, _108031])))]]]]], (1609 ^ _81879) ^ [_108368, _108370, _108372, _108374, _108376, _108378] : [hBOOL(hAPP(hAPP(c_member(tc_prod(_108368, _108368)), hAPP(hAPP(c_Product__Type_OPair(_108368, _108368), _108370), _108372)), _108374)), -(hAPP(hAPP(hAPP(hAPP(c_Recdef_Ocut(_108368, _108376), _108378), _108374), _108372), _108370) = hAPP(_108378, _108370))], (1625 ^ _81879) ^ [_108835, _108837, _108839, _108841, _108843, _108845] : [1627 ^ _81879 : [(1628 ^ _81879) ^ [] : [-(hBOOL(hAPP(hAPP(c_member(tc_prod(_108835, _108835)), hAPP(hAPP(c_Product__Type_OPair(_108835, _108835), 1626 ^ [_108835, _108837, _108839, _108841, _108843, _108845]), _108843)), _108841)))], (1630 ^ _81879) ^ [] : [hAPP(_108839, 1626 ^ [_108835, _108837, _108839, _108841, _108843, _108845]) = hAPP(_108845, 1626 ^ [_108835, _108837, _108839, _108841, _108843, _108845])]], -(hAPP(hAPP(hAPP(c_Recdef_Ocut(_108835, _108837), _108839), _108841), _108843) = hAPP(hAPP(hAPP(c_Recdef_Ocut(_108835, _108837), _108845), _108841), _108843))], (1615 ^ _81879) ^ [_108554, _108556, _108558, _108560, _108562, _108564] : [hAPP(hAPP(hAPP(c_Recdef_Ocut(_108554, _108556), _108558), _108560), _108562) = hAPP(hAPP(hAPP(c_Recdef_Ocut(_108554, _108556), _108564), _108560), _108562), 1618 ^ _81879 : [(1619 ^ _81879) ^ [_108698] : [hBOOL(hAPP(hAPP(c_member(tc_prod(_108554, _108554)), hAPP(hAPP(c_Product__Type_OPair(_108554, _108554), _108698), _108562)), _108560)), -(hAPP(_108558, _108698) = hAPP(_108564, _108698))]]], (1634 ^ _81879) ^ [] : [-(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)))))], (1636 ^ _81879) ^ [_109146] : [hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool)), _109146), 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, _109146)), c_Arrow__Order__Mirabelle_OProf)))], (1642 ^ _81879) ^ [_109249, _109251, _109253, _109255, _109257, _109259] : [hBOOL(hAPP(hAPP(c_member(tc_prod(_109253, _109253)), hAPP(hAPP(c_Product__Type_OPair(_109253, _109253), _109255), _109257)), _109249)), -(hAPP(hAPP(hAPP(hAPP(c_Recdef_Ocut(_109253, _109259), _109251), _109249), _109257), _109255) = hAPP(_109251, _109255))], (1648 ^ _81879) ^ [_109429, _109431, _109433, _109435] : [hAPP(hAPP(c_COMBC(_109429, tc_fun(tc_prod(_109429, _109431), tc_HOL_Obool), tc_fun(_109431, tc_HOL_Obool)), hAPP(c_COMBB(tc_fun(_109431, tc_fun(tc_fun(tc_prod(_109429, _109431), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_109429, _109431), tc_HOL_Obool), tc_fun(_109431, tc_HOL_Obool)), _109429, c_COMBC(_109431, tc_fun(tc_prod(_109429, _109431), tc_HOL_Obool), tc_HOL_Obool)), hAPP(c_COMBB(tc_fun(_109431, tc_prod(_109429, _109431)), tc_fun(_109431, tc_fun(tc_fun(tc_prod(_109429, _109431), tc_HOL_Obool), tc_HOL_Obool)), _109429, c_COMBB(tc_prod(_109429, _109431), tc_fun(tc_fun(tc_prod(_109429, _109431), tc_HOL_Obool), tc_HOL_Obool), _109431, c_member(tc_prod(_109429, _109431)))), c_Product__Type_OPair(_109429, _109431)))), _109433) = hAPP(hAPP(c_COMBC(_109429, tc_fun(tc_prod(_109429, _109431), tc_HOL_Obool), tc_fun(_109431, tc_HOL_Obool)), hAPP(c_COMBB(tc_fun(_109431, tc_fun(tc_fun(tc_prod(_109429, _109431), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_109429, _109431), tc_HOL_Obool), tc_fun(_109431, tc_HOL_Obool)), _109429, c_COMBC(_109431, tc_fun(tc_prod(_109429, _109431), tc_HOL_Obool), tc_HOL_Obool)), hAPP(c_COMBB(tc_fun(_109431, tc_prod(_109429, _109431)), tc_fun(_109431, tc_fun(tc_fun(tc_prod(_109429, _109431), tc_HOL_Obool), tc_HOL_Obool)), _109429, c_COMBB(tc_prod(_109429, _109431), tc_fun(tc_fun(tc_prod(_109429, _109431), tc_HOL_Obool), tc_HOL_Obool), _109431, c_member(tc_prod(_109429, _109431)))), c_Product__Type_OPair(_109429, _109431)))), _109435), -(_109433 = _109435)], (1654 ^ _81879) ^ [_109954, _109956, _109958, _109960] : [_109958 = _109960, -(hAPP(hAPP(c_COMBC(_109954, tc_fun(tc_prod(_109954, _109956), tc_HOL_Obool), tc_fun(_109956, tc_HOL_Obool)), hAPP(c_COMBB(tc_fun(_109956, tc_fun(tc_fun(tc_prod(_109954, _109956), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_109954, _109956), tc_HOL_Obool), tc_fun(_109956, tc_HOL_Obool)), _109954, c_COMBC(_109956, tc_fun(tc_prod(_109954, _109956), tc_HOL_Obool), tc_HOL_Obool)), hAPP(c_COMBB(tc_fun(_109956, tc_prod(_109954, _109956)), tc_fun(_109956, tc_fun(tc_fun(tc_prod(_109954, _109956), tc_HOL_Obool), tc_HOL_Obool)), _109954, c_COMBB(tc_prod(_109954, _109956), tc_fun(tc_fun(tc_prod(_109954, _109956), tc_HOL_Obool), tc_HOL_Obool), _109956, c_member(tc_prod(_109954, _109956)))), c_Product__Type_OPair(_109954, _109956)))), _109958) = hAPP(hAPP(c_COMBC(_109954, tc_fun(tc_prod(_109954, _109956), tc_HOL_Obool), tc_fun(_109956, tc_HOL_Obool)), hAPP(c_COMBB(tc_fun(_109956, tc_fun(tc_fun(tc_prod(_109954, _109956), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_109954, _109956), tc_HOL_Obool), tc_fun(_109956, tc_HOL_Obool)), _109954, c_COMBC(_109956, tc_fun(tc_prod(_109954, _109956), tc_HOL_Obool), tc_HOL_Obool)), hAPP(c_COMBB(tc_fun(_109956, tc_prod(_109954, _109956)), tc_fun(_109956, tc_fun(tc_fun(tc_prod(_109954, _109956), tc_HOL_Obool), tc_HOL_Obool)), _109954, c_COMBB(tc_prod(_109954, _109956), tc_fun(tc_fun(tc_prod(_109954, _109956), tc_HOL_Obool), tc_HOL_Obool), _109956, c_member(tc_prod(_109954, _109956)))), c_Product__Type_OPair(_109954, _109956)))), _109960))], (1675 ^ _81879) ^ [_110908] : [1677 ^ _81879 : [(1678 ^ _81879) ^ [] : [-(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))), 1676 ^ [_110908]), c_Arrow__Order__Mirabelle_OProf)))], (1682 ^ _81879) ^ [_111126] : [-(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), 1679 ^ [_110908]), 1680 ^ [_110908])), hAPP(1676 ^ [_110908], _111126))))], (1684 ^ _81879) ^ [] : [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), 1679 ^ [_110908]), 1680 ^ [_110908])), hAPP(_110908, 1676 ^ [_110908])))]], -(c_Arrow__Order__Mirabelle_Ounanimity(_110908))], (1660 ^ _81879) ^ [_110497] : [c_Arrow__Order__Mirabelle_Ounanimity(_110497), 1663 ^ _81879 : [(1664 ^ _81879) ^ [_110610] : [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))), _110610), c_Arrow__Order__Mirabelle_OProf)), 1667 ^ _81879 : [(1668 ^ _81879) ^ [_110721, _110723] : [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), _110723), _110721)), hAPP(_110610, 1669 ^ [_110497, _110610, _110721, _110723]))), -(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), _110723), _110721)), hAPP(_110497, _110610))))]]]]], (1688 ^ _81879) ^ [_111272] : [c_Arrow__Order__Mirabelle_OIIA(_111272), 1691 ^ _81879 : [(1692 ^ _81879) ^ [_111441] : [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))), _111441), c_Arrow__Order__Mirabelle_OProf)), 1695 ^ _81879 : [(1696 ^ _81879) ^ [_111608] : [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))), _111608), c_Arrow__Order__Mirabelle_OProf)), 1699 ^ _81879 : [(1700 ^ _81879) ^ [_111761, _111763] : [1704 ^ _81879 : [(1705 ^ _81879) ^ [] : [-(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), _111763), _111761)), hAPP(_111441, 1701 ^ [_111272, _111441, _111608, _111761, _111763]))))], (1707 ^ _81879) ^ [] : [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), _111763), _111761)), hAPP(_111608, 1701 ^ [_111272, _111441, _111608, _111761, _111763])))]], 1708 ^ _81879 : [(1709 ^ _81879) ^ [] : [-(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), _111763), _111761)), hAPP(_111608, 1701 ^ [_111272, _111441, _111608, _111761, _111763]))))], (1711 ^ _81879) ^ [] : [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), _111763), _111761)), hAPP(_111441, 1701 ^ [_111272, _111441, _111608, _111761, _111763])))]], 1712 ^ _81879 : [(1713 ^ _81879) ^ [] : [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), _111763), _111761)), hAPP(_111272, _111441))), -(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), _111763), _111761)), hAPP(_111272, _111608))))], (1719 ^ _81879) ^ [] : [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), _111763), _111761)), hAPP(_111272, _111608))), -(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), _111763), _111761)), hAPP(_111272, _111441))))]]]]]]]]], (1725 ^ _81879) ^ [_112387] : [-(c_Arrow__Order__Mirabelle_OIIA(_112387)), 1727 ^ _81879 : [(1728 ^ _81879) ^ [] : [-(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))), 1726 ^ [_112387]), c_Arrow__Order__Mirabelle_OProf)))], (1731 ^ _81879) ^ [] : [-(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))), 1729 ^ [_112387]), c_Arrow__Order__Mirabelle_OProf)))], (1747 ^ _81879) ^ [] : [1748 ^ _81879 : [(1749 ^ _81879) ^ [] : [-(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), 1732 ^ [_112387]), 1733 ^ [_112387])), hAPP(_112387, 1726 ^ [_112387]))))], (1751 ^ _81879) ^ [] : [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), 1732 ^ [_112387]), 1733 ^ [_112387])), hAPP(_112387, 1729 ^ [_112387])))]], 1752 ^ _81879 : [(1753 ^ _81879) ^ [] : [-(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), 1732 ^ [_112387]), 1733 ^ [_112387])), hAPP(_112387, 1729 ^ [_112387]))))], (1755 ^ _81879) ^ [] : [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), 1732 ^ [_112387]), 1733 ^ [_112387])), hAPP(_112387, 1726 ^ [_112387])))]]], (1735 ^ _81879) ^ [_112959] : [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), 1732 ^ [_112387]), 1733 ^ [_112387])), hAPP(1726 ^ [_112387], _112959))), -(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), 1732 ^ [_112387]), 1733 ^ [_112387])), hAPP(1729 ^ [_112387], _112959))))], (1741 ^ _81879) ^ [_113148] : [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), 1732 ^ [_112387]), 1733 ^ [_112387])), hAPP(1729 ^ [_112387], _113148))), -(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), 1732 ^ [_112387]), 1733 ^ [_112387])), hAPP(1726 ^ [_112387], _113148))))]]], (1759 ^ _81879) ^ [_113616, _113618, _113620, _113622] : [-(c_Recdef_Oadm__wf(_113616, _113618, _113620, hAPP(hAPP(c_COMBC(tc_fun(_113616, _113618), tc_fun(_113616, _113616), tc_fun(_113616, _113618)), hAPP(c_COMBB(tc_fun(_113616, tc_fun(_113616, _113618)), tc_fun(tc_fun(_113616, _113616), tc_fun(_113616, _113618)), tc_fun(_113616, _113618), c_COMBS(_113616, _113616, _113618)), hAPP(c_COMBB(tc_fun(_113616, tc_fun(_113616, _113618)), tc_fun(_113616, tc_fun(_113616, _113618)), tc_fun(_113616, _113618), c_COMBB(tc_fun(_113616, _113618), tc_fun(_113616, _113618), _113616, _113622)), hAPP(hAPP(c_COMBC(tc_fun(_113616, _113618), tc_fun(tc_prod(_113616, _113616), tc_HOL_Obool), tc_fun(_113616, tc_fun(_113616, _113618))), c_Recdef_Ocut(_113616, _113618)), _113620)))), c_COMBI(_113616))))], (1771 ^ _81879) ^ [_113950, _113952] : [1773 ^ _81879 : [(1774 ^ _81879) ^ [] : [-(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))), 1772 ^ [_113950, _113952]), c_Arrow__Order__Mirabelle_OProf)))], (1776 ^ _81879) ^ [] : [hAPP(_113950, 1772 ^ [_113950, _113952]) = hAPP(1772 ^ [_113950, _113952], _113952)]], -(c_Arrow__Order__Mirabelle_Odictator(_113950, _113952))], (1761 ^ _81879) ^ [_113775, _113777] : [c_Arrow__Order__Mirabelle_Odictator(_113775, _113777), 1764 ^ _81879 : [(1765 ^ _81879) ^ [_113849] : [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))), _113849), c_Arrow__Order__Mirabelle_OProf)), -(hAPP(_113775, _113849) = hAPP(_113849, _113777))]]], (1780 ^ _81879) ^ [_114148, _114150, _114152, _114154, _114156, _114158] : [hBOOL(hAPP(hAPP(c_member(tc_prod(_114148, _114148)), hAPP(hAPP(c_Product__Type_OPair(_114148, _114148), _114150), _114152)), _114154)), -(hAPP(hAPP(hAPP(hAPP(c_Recdef_Ocut(_114148, _114156), _114158), _114154), _114152), _114150) = hAPP(_114158, _114150))], (1786 ^ _81879) ^ [_114301, _114303, _114305, _114307, _114309, _114311] : [-(hBOOL(hAPP(hAPP(c_member(tc_prod(_114301, _114301)), hAPP(hAPP(c_Product__Type_OPair(_114301, _114301), _114303), _114305)), _114307))), -(hAPP(hAPP(hAPP(hAPP(c_Recdef_Ocut(_114301, _114309), _114311), _114307), _114305), _114303) = c_HOL_Oundefined(_114309))], (1792 ^ _81879) ^ [_114401, _114403, _114405] : [hAPP(hAPP(c_COMBC(_114401, tc_fun(_114401, tc_HOL_Obool), tc_HOL_Obool), c_member(_114401)), _114403) = hAPP(hAPP(c_COMBC(_114401, tc_fun(_114401, tc_HOL_Obool), tc_HOL_Obool), c_member(_114401)), _114405), -(_114403 = _114405)], (1798 ^ _81879) ^ [_114536, _114538, _114540] : [_114538 = _114540, -(hAPP(hAPP(c_COMBC(_114536, tc_fun(_114536, tc_HOL_Obool), tc_HOL_Obool), c_member(_114536)), _114538) = hAPP(hAPP(c_COMBC(_114536, tc_fun(_114536, tc_HOL_Obool), tc_HOL_Obool), c_member(_114536)), _114540))], (1804 ^ _81879) ^ [_114704, _114706, _114708, _114710, _114712, _114714] : [hBOOL(hAPP(c_Recdef_Owfrec__rel(_114704, _114706, _114708, _114710, _114712), _114714)), 1808 ^ _81879 : [(1809 ^ _81879) ^ [] : [-(_114714 = hAPP(hAPP(_114710, 1807 ^ [_114704, _114706, _114708, _114710, _114712, _114714]), _114712))], (1811 ^ _81879) ^ [_114942] : [hBOOL(hAPP(hAPP(c_member(tc_prod(_114704, _114704)), hAPP(hAPP(c_Product__Type_OPair(_114704, _114704), _114942), _114712)), _114708)), -(hBOOL(hAPP(c_Recdef_Owfrec__rel(_114704, _114706, _114708, _114710, _114942), hAPP(1807 ^ [_114704, _114706, _114708, _114710, _114712, _114714], _114942))))]]], (1817 ^ _81879) ^ [_115121, _115123, _115125, _115127, _115129, _115131] : [-(hBOOL(hAPP(c_Recdef_Owfrec__rel(_115121, _115123, _115125, _115127, _115129), _115131))), 1818 ^ _81879 : [(1819 ^ _81879) ^ [_115224] : [_115131 = hAPP(hAPP(_115127, _115224), _115129), 1823 ^ _81879 : [(1824 ^ _81879) ^ [] : [-(hBOOL(hAPP(hAPP(c_member(tc_prod(_115121, _115121)), hAPP(hAPP(c_Product__Type_OPair(_115121, _115121), 1822 ^ [_115121, _115123, _115125, _115127, _115129, _115131, _115224]), _115129)), _115125)))], (1826 ^ _81879) ^ [] : [hBOOL(hAPP(c_Recdef_Owfrec__rel(_115121, _115123, _115125, _115127, 1822 ^ [_115121, _115123, _115125, _115127, _115129, _115131, _115224]), hAPP(_115224, 1822 ^ [_115121, _115123, _115125, _115127, _115129, _115131, _115224])))]]]]], (1830 ^ _81879) ^ [_115543, _115545, _115547, _115549, _115551, _115553] : [1832 ^ _81879 : [(1833 ^ _81879) ^ [] : [-(hBOOL(hAPP(hAPP(c_member(tc_prod(_115543, _115543)), hAPP(hAPP(c_Product__Type_OPair(_115543, _115543), 1831 ^ [_115543, _115545, _115547, _115549, _115551, _115553]), _115545)), _115547)))], (1835 ^ _81879) ^ [] : [hBOOL(hAPP(c_Recdef_Owfrec__rel(_115543, _115549, _115547, _115551, 1831 ^ [_115543, _115545, _115547, _115549, _115551, _115553]), hAPP(_115553, 1831 ^ [_115543, _115545, _115547, _115549, _115551, _115553])))]], -(hBOOL(hAPP(c_Recdef_Owfrec__rel(_115543, _115549, _115547, _115551, _115545), hAPP(hAPP(_115551, _115553), _115545))))], (1849 ^ _81879) ^ [_116102, _116104, _116106] : [1851 ^ _81879 : [(1852 ^ _81879) ^ [] : [-(hBOOL(hAPP(hAPP(c_member(tc_prod(_116102, _116102)), hAPP(hAPP(c_Product__Type_OPair(_116102, _116102), 1850 ^ [_116102, _116104, _116106]), _116104)), _116106)))], (1854 ^ _81879) ^ [] : [hBOOL(hAPP(hAPP(c_member(_116102), 1850 ^ [_116102, _116104, _116106]), c_Wellfounded_Oacc(_116102, _116106)))]], -(hBOOL(hAPP(hAPP(c_member(_116102), _116104), c_Wellfounded_Oacc(_116102, _116106))))], (1839 ^ _81879) ^ [_115849, _115851, _115853] : [hBOOL(hAPP(hAPP(c_member(_115849), _115851), c_Wellfounded_Oacc(_115849, _115853))), 1842 ^ _81879 : [(1843 ^ _81879) ^ [_115963] : [hBOOL(hAPP(hAPP(c_member(tc_prod(_115849, _115849)), hAPP(hAPP(c_Product__Type_OPair(_115849, _115849), _115963), _115851)), _115853)), -(hBOOL(hAPP(hAPP(c_member(_115849), _115963), c_Wellfounded_Oacc(_115849, _115853))))]]], (1858 ^ _81879) ^ [_116360, _116362, _116364] : [hBOOL(hAPP(hAPP(c_member(_116360), _116362), hAPP(c_fequal, _116364))), -(_116362 = _116364)], (1864 ^ _81879) ^ [_116455, _116457, _116459] : [_116457 = _116459, -(hBOOL(hAPP(hAPP(c_member(_116455), _116457), hAPP(c_fequal, _116459))))], (1870 ^ _81879) ^ [_116556, _116558, _116560, _116562] : [hBOOL(hAPP(hAPP(c_member(_116556), _116558), c_Wellfounded_Oacc(_116556, _116560))), hBOOL(hAPP(hAPP(c_member(tc_prod(_116556, _116556)), hAPP(hAPP(c_Product__Type_OPair(_116556, _116556), _116562), _116558)), _116560)), -(hBOOL(hAPP(hAPP(c_member(_116556), _116562), c_Wellfounded_Oacc(_116556, _116560))))], (1880 ^ _81879) ^ [_116771, _116773, _116775, _116777, _116779, _116781] : [hBOOL(hAPP(hAPP(c_member(tc_fun(_116771, _116773)), _116775), c_FuncSet_OPi(_116771, _116773, _116777, _116779))), -(hBOOL(hAPP(hAPP(c_member(_116773), hAPP(_116775, _116781)), hAPP(_116779, _116781)))), hBOOL(hAPP(hAPP(c_member(_116771), _116781), _116777))], (1890 ^ _81879) ^ [_116990, _116992] : [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))), _116990), 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)))), 1896 ^ _81879 : [(1897 ^ _81879) ^ [] : [-(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))), 1895 ^ [_116990, _116992]), c_Arrow__Order__Mirabelle_OProf)))], (1901 ^ _81879) ^ [] : [1898 ^ [_116990, _116992] = 1899 ^ [_116990, _116992]], (1903 ^ _81879) ^ [] : [-(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), 1898 ^ [_116990, _116992]), 1899 ^ [_116990, _116992])), hAPP(1895 ^ [_116990, _116992], _116992))))], (1905 ^ _81879) ^ [] : [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), 1898 ^ [_116990, _116992]), 1899 ^ [_116990, _116992])), hAPP(_116990, 1895 ^ [_116990, _116992])))]], -(c_Arrow__Order__Mirabelle_Odictator(_116990, _116992))], (1909 ^ _81879) ^ [_117520, _117522, _117524, _117526, _117528, _117530] : [hBOOL(hAPP(hAPP(c_member(tc_fun(_117520, _117522)), _117524), c_FuncSet_OPi(_117520, _117522, _117526, c_COMBK(tc_fun(_117522, tc_HOL_Obool), _117520, _117528)))), hBOOL(hAPP(hAPP(c_member(_117520), _117530), _117526)), -(hBOOL(hAPP(hAPP(c_member(_117522), hAPP(_117524, _117530)), _117528)))], (1919 ^ _81879) ^ [_117743, _117745, _117747, _117749, _117751, _117753] : [hBOOL(hAPP(hAPP(c_member(tc_fun(_117743, _117745)), _117747), c_FuncSet_OPi(_117743, _117745, _117749, _117751))), hBOOL(hAPP(hAPP(c_member(_117743), _117753), _117749)), -(hBOOL(hAPP(hAPP(c_member(_117745), hAPP(_117747, _117753)), hAPP(_117751, _117753))))], (1929 ^ _81879) ^ [_117958, _117960] : [-(hBOOL(hAPP(hAPP(c_member(tc_fun(_117958, _117958)), c_COMBI(_117958)), c_FuncSet_OPi(_117958, _117958, _117960, c_COMBK(tc_fun(_117958, tc_HOL_Obool), _117958, _117960)))))], (1931 ^ _81879) ^ [_118025, _118027, _118029] : [hBOOL(hAPP(c_Wellfounded_Oaccp(_118025, hAPP(hAPP(c_COMBC(_118025, tc_fun(tc_prod(_118025, _118025), tc_HOL_Obool), tc_fun(_118025, tc_HOL_Obool)), hAPP(c_COMBB(tc_fun(_118025, tc_fun(tc_fun(tc_prod(_118025, _118025), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_118025, _118025), tc_HOL_Obool), tc_fun(_118025, tc_HOL_Obool)), _118025, c_COMBC(_118025, tc_fun(tc_prod(_118025, _118025), tc_HOL_Obool), tc_HOL_Obool)), hAPP(c_COMBB(tc_fun(_118025, tc_prod(_118025, _118025)), tc_fun(_118025, tc_fun(tc_fun(tc_prod(_118025, _118025), tc_HOL_Obool), tc_HOL_Obool)), _118025, c_COMBB(tc_prod(_118025, _118025), tc_fun(tc_fun(tc_prod(_118025, _118025), tc_HOL_Obool), tc_HOL_Obool), _118025, c_member(tc_prod(_118025, _118025)))), c_Product__Type_OPair(_118025, _118025)))), _118027)), _118029)), -(hBOOL(hAPP(hAPP(c_member(_118025), _118029), c_Wellfounded_Oacc(_118025, _118027))))], (1937 ^ _81879) ^ [_118354, _118356, _118358] : [hBOOL(hAPP(hAPP(c_member(_118354), _118358), c_Wellfounded_Oacc(_118354, _118356))), -(hBOOL(hAPP(c_Wellfounded_Oaccp(_118354, hAPP(hAPP(c_COMBC(_118354, tc_fun(tc_prod(_118354, _118354), tc_HOL_Obool), tc_fun(_118354, tc_HOL_Obool)), hAPP(c_COMBB(tc_fun(_118354, tc_fun(tc_fun(tc_prod(_118354, _118354), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_118354, _118354), tc_HOL_Obool), tc_fun(_118354, tc_HOL_Obool)), _118354, c_COMBC(_118354, tc_fun(tc_prod(_118354, _118354), tc_HOL_Obool), tc_HOL_Obool)), hAPP(c_COMBB(tc_fun(_118354, tc_prod(_118354, _118354)), tc_fun(_118354, tc_fun(tc_fun(tc_prod(_118354, _118354), tc_HOL_Obool), tc_HOL_Obool)), _118354, c_COMBB(tc_prod(_118354, _118354), tc_fun(tc_fun(tc_prod(_118354, _118354), tc_HOL_Obool), tc_HOL_Obool), _118354, c_member(tc_prod(_118354, _118354)))), c_Product__Type_OPair(_118354, _118354)))), _118356)), _118358)))], (1943 ^ _81879) ^ [_118688, _118690, _118692] : [-(hBOOL(hAPP(hAPP(c_member(_118688), _118690), c_Wellfounded_Oacc(_118688, _118692)))), 1947 ^ _81879 : [(1948 ^ _81879) ^ [] : [-(hBOOL(hAPP(hAPP(c_member(tc_prod(_118688, _118688)), hAPP(hAPP(c_Product__Type_OPair(_118688, _118688), 1946 ^ [_118688, _118690, _118692]), _118690)), _118692)))], (1950 ^ _81879) ^ [] : [hBOOL(hAPP(hAPP(c_member(_118688), 1946 ^ [_118688, _118690, _118692]), c_Wellfounded_Oacc(_118688, _118692)))]]], (1952 ^ _81879) ^ [_118915, _118917, _118919] : [1954 ^ _81879 : [(1955 ^ _81879) ^ [] : [-(hBOOL(hAPP(hAPP(c_member(tc_prod(_118915, _118915)), hAPP(hAPP(c_Product__Type_OPair(_118915, _118915), 1953 ^ [_118915, _118917, _118919]), _118917)), _118919)))], (1957 ^ _81879) ^ [] : [hBOOL(hAPP(hAPP(c_member(_118915), 1953 ^ [_118915, _118917, _118919]), c_Wellfounded_Oacc(_118915, _118919)))]], -(hBOOL(hAPP(hAPP(c_member(_118915), _118917), c_Wellfounded_Oacc(_118915, _118919))))], (1961 ^ _81879) ^ [_119174, _119176, _119178, _119180] : [c_Recdef_Oadm__wf(_119174, _119176, _119178, _119180), 1964 ^ _81879 : [(1965 ^ _81879) ^ [_119303, _119305, _119307] : [1967 ^ _81879 : [(1968 ^ _81879) ^ [] : [-(hBOOL(hAPP(hAPP(c_member(tc_prod(_119174, _119174)), hAPP(hAPP(c_Product__Type_OPair(_119174, _119174), 1966 ^ [_119174, _119176, _119178, _119180, _119303, _119305, _119307]), _119303)), _119178)))], (1970 ^ _81879) ^ [] : [hAPP(_119307, 1966 ^ [_119174, _119176, _119178, _119180, _119303, _119305, _119307]) = hAPP(_119305, 1966 ^ [_119174, _119176, _119178, _119180, _119303, _119305, _119307])]], -(hAPP(hAPP(_119180, _119307), _119303) = hAPP(hAPP(_119180, _119305), _119303))]]], (1974 ^ _81879) ^ [_119580, _119582, _119584, _119586] : [-(c_Recdef_Oadm__wf(_119580, _119582, _119584, _119586)), 1978 ^ _81879 : [(1985 ^ _81879) ^ [] : [hAPP(hAPP(_119586, 1975 ^ [_119580, _119582, _119584, _119586]), 1977 ^ [_119580, _119582, _119584, _119586]) = hAPP(hAPP(_119586, 1976 ^ [_119580, _119582, _119584, _119586]), 1977 ^ [_119580, _119582, _119584, _119586])], (1979 ^ _81879) ^ [_119797] : [hBOOL(hAPP(hAPP(c_member(tc_prod(_119580, _119580)), hAPP(hAPP(c_Product__Type_OPair(_119580, _119580), _119797), 1977 ^ [_119580, _119582, _119584, _119586])), _119584)), -(hAPP(1975 ^ [_119580, _119582, _119584, _119586], _119797) = hAPP(1976 ^ [_119580, _119582, _119584, _119586], _119797))]]], (1999 ^ _81879) ^ [_120308, _120310, _120312] : [2001 ^ _81879 : [(2002 ^ _81879) ^ [] : [-(hBOOL(hAPP(hAPP(_120310, 2000 ^ [_120308, _120310, _120312]), _120312)))], (2004 ^ _81879) ^ [] : [hBOOL(hAPP(c_Wellfounded_Oaccp(_120308, _120310), 2000 ^ [_120308, _120310, _120312]))]], -(hBOOL(hAPP(c_Wellfounded_Oaccp(_120308, _120310), _120312)))], (1989 ^ _81879) ^ [_120122, _120124, _120126] : [hBOOL(hAPP(c_Wellfounded_Oaccp(_120122, _120124), _120126)), 1992 ^ _81879 : [(1993 ^ _81879) ^ [_120207] : [hBOOL(hAPP(hAPP(_120124, _120207), _120126)), -(hBOOL(hAPP(c_Wellfounded_Oaccp(_120122, _120124), _120207)))]]], (2018 ^ _81879) ^ [_120698, _120700, _120702] : [2020 ^ _81879 : [(2021 ^ _81879) ^ [] : [-(hBOOL(hAPP(hAPP(_120700, 2019 ^ [_120698, _120700, _120702]), _120702)))], (2023 ^ _81879) ^ [] : [hBOOL(hAPP(c_Wellfounded_Oaccp(_120698, _120700), 2019 ^ [_120698, _120700, _120702]))]], -(hBOOL(hAPP(c_Wellfounded_Oaccp(_120698, _120700), _120702)))], (2008 ^ _81879) ^ [_120512, _120514, _120516] : [hBOOL(hAPP(c_Wellfounded_Oaccp(_120512, _120514), _120516)), 2011 ^ _81879 : [(2012 ^ _81879) ^ [_120597] : [hBOOL(hAPP(hAPP(_120514, _120597), _120516)), -(hBOOL(hAPP(c_Wellfounded_Oaccp(_120512, _120514), _120597)))]]], (2027 ^ _81879) ^ [_120884, _120886, _120888, _120890] : [hBOOL(hAPP(c_Wellfounded_Oaccp(_120884, _120886), _120888)), hBOOL(hAPP(hAPP(_120886, _120890), _120888)), -(hBOOL(hAPP(c_Wellfounded_Oaccp(_120884, _120886), _120890)))], (2037 ^ _81879) ^ [_121051, _121053, _121055, _121057, _121059] : [hBOOL(hAPP(hAPP(c_member(tc_fun(_121051, _121053)), _121055), c_FuncSet_Oextensional(_121051, _121053, _121057))), -(hBOOL(hAPP(hAPP(c_member(_121051), _121059), _121057))), -(hAPP(_121055, _121059) = c_HOL_Oundefined(_121053))], (2047 ^ _81879) ^ [_121201, _121203, _121205, _121207, _121209] : [2049 ^ _81879 : [(2050 ^ _81879) ^ [] : [-(hBOOL(hAPP(hAPP(c_member(_121201), 2048 ^ [_121201, _121203, _121205, _121207, _121209]), _121203)))], (2052 ^ _81879) ^ [] : [hBOOL(hAPP(hAPP(c_member(_121205), hAPP(_121207, 2048 ^ [_121201, _121203, _121205, _121207, _121209])), hAPP(_121209, 2048 ^ [_121201, _121203, _121205, _121207, _121209])))]], -(hBOOL(hAPP(hAPP(c_member(tc_fun(_121201, _121205)), _121207), c_FuncSet_OPi(_121201, _121205, _121203, _121209))))], (2056 ^ _81879) ^ [_121461, _121463, _121465, _121467, _121469] : [2058 ^ _81879 : [(2059 ^ _81879) ^ [] : [-(hBOOL(hAPP(hAPP(c_member(_121461), 2057 ^ [_121461, _121463, _121465, _121467, _121469]), _121463)))], (2061 ^ _81879) ^ [] : [hBOOL(hAPP(hAPP(c_member(_121465), hAPP(_121467, 2057 ^ [_121461, _121463, _121465, _121467, _121469])), _121469))]], -(hBOOL(hAPP(hAPP(c_member(tc_fun(_121461, _121465)), _121467), c_FuncSet_OPi(_121461, _121465, _121463, c_COMBK(tc_fun(_121465, tc_HOL_Obool), _121461, _121469)))))], (2065 ^ _81879) ^ [_121713, _121715, _121717, _121719, _121721, _121723] : [hBOOL(hAPP(hAPP(c_member(tc_fun(_121713, _121715)), _121717), c_FuncSet_Oextensional__funcset(_121713, _121715, _121719, _121721))), -(hBOOL(hAPP(hAPP(c_member(_121713), _121723), _121719))), -(hAPP(_121717, _121723) = c_HOL_Oundefined(_121715))], (2075 ^ _81879) ^ [_121867, _121869, _121871, _121873, _121875, _121877] : [2077 ^ _81879 : [(2078 ^ _81879) ^ [] : [-(hBOOL(hAPP(hAPP(c_member(_121867), 2076 ^ [_121867, _121869, _121871, _121873, _121875, _121877]), _121869)))], (2080 ^ _81879) ^ [] : [hAPP(_121871, 2076 ^ [_121867, _121869, _121871, _121873, _121875, _121877]) = hAPP(_121873, 2076 ^ [_121867, _121869, _121871, _121873, _121875, _121877])]], 2081 ^ _81879 : [(2082 ^ _81879) ^ [] : [hBOOL(hAPP(hAPP(c_member(tc_fun(_121867, _121875)), _121871), c_FuncSet_OPi(_121867, _121875, _121869, _121877))), -(hBOOL(hAPP(hAPP(c_member(tc_fun(_121867, _121875)), _121873), c_FuncSet_OPi(_121867, _121875, _121869, _121877))))], (2088 ^ _81879) ^ [] : [hBOOL(hAPP(hAPP(c_member(tc_fun(_121867, _121875)), _121873), c_FuncSet_OPi(_121867, _121875, _121869, _121877))), -(hBOOL(hAPP(hAPP(c_member(tc_fun(_121867, _121875)), _121871), c_FuncSet_OPi(_121867, _121875, _121869, _121877))))]]], (2094 ^ _81879) ^ [_122322, _122324, _122326, _122328, _122330] : [2096 ^ _81879 : [(2097 ^ _81879) ^ [] : [-(hBOOL(hAPP(hAPP(c_member(_122322), 2095 ^ [_122322, _122324, _122326, _122328, _122330]), _122324)))], (2099 ^ _81879) ^ [] : [hBOOL(hAPP(hAPP(c_member(_122326), hAPP(_122328, 2095 ^ [_122322, _122324, _122326, _122328, _122330])), hAPP(_122330, 2095 ^ [_122322, _122324, _122326, _122328, _122330])))]], -(hBOOL(hAPP(hAPP(c_member(tc_fun(_122322, _122326)), _122328), c_FuncSet_OPi(_122322, _122326, _122324, _122330))))], (2103 ^ _81879) ^ [_122582, _122584, _122586, _122588, _122590, _122592, _122594, _122596] : [hBOOL(hAPP(hAPP(c_member(tc_fun(_122582, _122584)), _122586), c_FuncSet_OPi(_122582, _122584, _122588, c_COMBK(tc_fun(_122584, tc_HOL_Obool), _122582, _122590)))), hBOOL(hAPP(hAPP(c_member(tc_fun(_122584, _122592)), _122594), c_FuncSet_OPi(_122584, _122592, _122590, c_COMBK(tc_fun(_122592, tc_HOL_Obool), _122584, _122596)))), -(hBOOL(hAPP(hAPP(c_member(tc_fun(_122582, _122592)), c_FuncSet_Ocompose(_122582, _122584, _122592, _122588, _122594, _122586)), c_FuncSet_OPi(_122582, _122592, _122588, c_COMBK(tc_fun(_122592, tc_HOL_Obool), _122582, _122596)))))], (2113 ^ _81879) ^ [_122881, _122883, _122885, _122887, _122889, _122891, _122893, _122895, _122897, _122899, _122901] : [hBOOL(hAPP(hAPP(c_member(tc_fun(_122881, _122883)), _122885), c_FuncSet_OPi(_122881, _122883, _122887, c_COMBK(tc_fun(_122883, tc_HOL_Obool), _122881, _122889)))), hBOOL(hAPP(hAPP(c_member(tc_fun(_122883, _122891)), _122893), c_FuncSet_OPi(_122883, _122891, _122889, c_COMBK(tc_fun(_122891, tc_HOL_Obool), _122883, _122895)))), hBOOL(hAPP(hAPP(c_member(tc_fun(_122891, _122897)), _122899), c_FuncSet_OPi(_122891, _122897, _122895, c_COMBK(tc_fun(_122897, tc_HOL_Obool), _122891, _122901)))), -(c_FuncSet_Ocompose(_122881, _122891, _122897, _122887, _122899, c_FuncSet_Ocompose(_122881, _122883, _122891, _122887, _122893, _122885)) = c_FuncSet_Ocompose(_122881, _122883, _122897, _122887, c_FuncSet_Ocompose(_122883, _122891, _122897, _122889, _122899, _122893), _122885))], (2127 ^ _81879) ^ [_123304, _123306, _123308, _123310] : [hBOOL(hAPP(hAPP(c_member(_123304), _123306), c_Wellfounded_Oacc(_123304, _123308))), hBOOL(hAPP(hAPP(c_member(tc_prod(_123304, _123304)), hAPP(hAPP(c_Product__Type_OPair(_123304, _123304), _123310), _123306)), c_Transitive__Closure_Ortrancl(_123304, _123308))), -(hBOOL(hAPP(hAPP(c_member(_123304), _123310), c_Wellfounded_Oacc(_123304, _123308))))], (2137 ^ _81879) ^ [_123525, _123527, _123529, _123531, _123533, _123535] : [-(hBOOL(hAPP(hAPP(c_member(tc_fun(_123525, _123527)), c_FuncSet_Ocompose(_123525, _123529, _123527, _123531, _123533, _123535)), c_FuncSet_Oextensional(_123525, _123527, _123531))))], (2139 ^ _81879) ^ [_123579, _123581, _123583, _123585, _123587, _123589, _123591] : [hBOOL(hAPP(hAPP(c_member(_123579), _123581), _123583)), -(hAPP(c_FuncSet_Ocompose(_123579, _123585, _123587, _123583, _123589, _123591), _123581) = hAPP(_123589, hAPP(_123591, _123581)))], (2145 ^ _81879) ^ [_123712, _123714, _123716, _123718, _123720, _123722] : [hBOOL(hAPP(hAPP(c_member(tc_fun(_123712, _123714)), _123716), c_FuncSet_Oextensional__funcset(_123712, _123714, _123718, _123720))), hBOOL(hAPP(hAPP(c_member(_123712), _123722), _123718)), -(hBOOL(hAPP(hAPP(c_member(_123714), hAPP(_123716, _123722)), _123720)))], (2155 ^ _81879) ^ [_123921, _123923, _123925, _123927] : [hBOOL(hAPP(hAPP(c_member(tc_prod(_123921, _123921)), hAPP(hAPP(c_Product__Type_OPair(_123921, _123921), _123923), _123925)), c_Transitive__Closure_Ortrancl(_123921, _123927))), hBOOL(hAPP(hAPP(c_member(_123921), _123925), c_Wellfounded_Oacc(_123921, _123927))), -(hBOOL(hAPP(hAPP(c_member(_123921), _123923), c_Wellfounded_Oacc(_123921, _123927))))], (2165 ^ _81879) ^ [_124142, _124144, _124146] : [-(hBOOL(hAPP(hAPP(c_member(tc_prod(_124142, _124142)), hAPP(hAPP(c_Product__Type_OPair(_124142, _124142), _124144), _124144)), c_Transitive__Closure_Ortrancl(_124142, _124146))))], (2167 ^ _81879) ^ [_124191, _124193, _124195] : [hBOOL(hAPP(hAPP(c_member(tc_prod(_124191, _124191)), _124193), _124195)), -(hBOOL(hAPP(hAPP(c_member(tc_prod(_124191, _124191)), _124193), c_Transitive__Closure_Ortrancl(_124191, _124195))))], (2173 ^ _81879) ^ [_124316, _124318, _124320, _124322, _124324] : [hBOOL(hAPP(hAPP(c_member(tc_prod(_124316, _124316)), hAPP(hAPP(c_Product__Type_OPair(_124316, _124316), _124318), _124320)), c_Transitive__Closure_Ortrancl(_124316, _124322))), hBOOL(hAPP(hAPP(c_member(tc_prod(_124316, _124316)), hAPP(hAPP(c_Product__Type_OPair(_124316, _124316), _124320), _124324)), c_Transitive__Closure_Ortrancl(_124316, _124322))), -(hBOOL(hAPP(hAPP(c_member(tc_prod(_124316, _124316)), hAPP(hAPP(c_Product__Type_OPair(_124316, _124316), _124318), _124324)), c_Transitive__Closure_Ortrancl(_124316, _124322))))], (2183 ^ _81879) ^ [_124589, _124591, _124593, _124595, _124597] : [hBOOL(hAPP(hAPP(c_member(tc_prod(_124589, _124589)), hAPP(hAPP(c_Product__Type_OPair(_124589, _124589), _124591), _124593)), c_Transitive__Closure_Ortrancl(_124589, _124595))), hBOOL(hAPP(hAPP(c_member(tc_prod(_124589, _124589)), hAPP(hAPP(c_Product__Type_OPair(_124589, _124589), _124593), _124597)), _124595)), -(hBOOL(hAPP(hAPP(c_member(tc_prod(_124589, _124589)), hAPP(hAPP(c_Product__Type_OPair(_124589, _124589), _124591), _124597)), c_Transitive__Closure_Ortrancl(_124589, _124595))))], (2193 ^ _81879) ^ [_124856, _124858, _124860, _124862, _124864] : [hBOOL(hAPP(hAPP(c_member(tc_prod(_124856, _124856)), hAPP(hAPP(c_Product__Type_OPair(_124856, _124856), _124858), _124860)), _124862)), hBOOL(hAPP(hAPP(c_member(tc_prod(_124856, _124856)), hAPP(hAPP(c_Product__Type_OPair(_124856, _124856), _124860), _124864)), c_Transitive__Closure_Ortrancl(_124856, _124862))), -(hBOOL(hAPP(hAPP(c_member(tc_prod(_124856, _124856)), hAPP(hAPP(c_Product__Type_OPair(_124856, _124856), _124858), _124864)), c_Transitive__Closure_Ortrancl(_124856, _124862))))], (2203 ^ _81879) ^ [_125123, _125125, _125127, _125129, _125131] : [hBOOL(hAPP(hAPP(c_member(tc_fun(_125123, _125125)), _125127), c_FuncSet_OPi(_125123, _125125, _125129, c_COMBK(tc_fun(_125125, tc_HOL_Obool), _125123, _125131)))), hBOOL(hAPP(hAPP(c_member(tc_fun(_125123, _125125)), _125127), c_FuncSet_Oextensional(_125123, _125125, _125129))), -(c_FuncSet_Ocompose(_125123, _125123, _125125, _125129, _125127, c_FuncSet_Orestrict(_125123, _125123, c_COMBI(_125123), _125129)) = _125127)], (2213 ^ _81879) ^ [_125364, _125366, _125368, _125370, _125372] : [hBOOL(hAPP(hAPP(c_member(tc_fun(_125364, _125366)), _125368), c_FuncSet_OPi(_125364, _125366, _125370, c_COMBK(tc_fun(_125366, tc_HOL_Obool), _125364, _125372)))), hBOOL(hAPP(hAPP(c_member(tc_fun(_125364, _125366)), _125368), c_FuncSet_Oextensional(_125364, _125366, _125370))), -(c_FuncSet_Ocompose(_125364, _125366, _125366, _125370, c_FuncSet_Orestrict(_125366, _125366, c_COMBI(_125366), _125372), _125368) = _125368)], (2223 ^ _81879) ^ [_125605, _125607, _125609, _125611, _125613] : [hBOOL(hAPP(hAPP(c_member(tc_fun(_125605, _125607)), _125609), c_FuncSet_Oextensional(_125605, _125607, _125611))), hBOOL(hAPP(hAPP(c_member(tc_fun(_125605, _125607)), _125613), c_FuncSet_Oextensional(_125605, _125607, _125611))), 2233 ^ _81879 : [(2234 ^ _81879) ^ [] : [-(hBOOL(hAPP(hAPP(c_member(_125605), 2232 ^ [_125605, _125607, _125609, _125611, _125613]), _125611)))], (2236 ^ _81879) ^ [] : [hAPP(_125609, 2232 ^ [_125605, _125607, _125609, _125611, _125613]) = hAPP(_125613, 2232 ^ [_125605, _125607, _125609, _125611, _125613])]], -(_125609 = _125613)], (2240 ^ _81879) ^ [_125986, _125988, _125990, _125992, _125994, _125996] : [-(c_FuncSet_Ocompose(_125986, _125988, _125990, _125992, _125994, _125996) = c_FuncSet_Orestrict(_125986, _125990, hAPP(c_COMBB(_125988, _125990, _125986, _125994), _125996), _125992))], (2242 ^ _81879) ^ [_126039, _126041, _126043, _126045] : [-(hBOOL(hAPP(hAPP(c_member(tc_fun(_126039, _126041)), c_FuncSet_Orestrict(_126039, _126041, _126043, _126045)), c_FuncSet_Oextensional(_126039, _126041, _126045))))], (2244 ^ _81879) ^ [_126087, _126089, _126091, _126093] : [hBOOL(hAPP(hAPP(c_member(tc_fun(_126087, _126089)), _126091), c_FuncSet_Oextensional(_126087, _126089, _126093))), -(c_FuncSet_Orestrict(_126087, _126089, _126091, _126093) = _126091)], (2250 ^ _81879) ^ [_126224, _126226, _126228, _126230, _126232] : [hBOOL(hAPP(hAPP(c_member(_126224), _126226), _126228)), -(hAPP(c_FuncSet_Orestrict(_126224, _126230, _126232, _126228), _126226) = hAPP(_126232, _126226))], (2256 ^ _81879) ^ [_126337, _126339, _126341, _126343, _126345] : [-(hBOOL(hAPP(hAPP(c_member(_126337), _126339), _126341))), -(hAPP(c_FuncSet_Orestrict(_126337, _126343, _126345, _126341), _126339) = c_HOL_Oundefined(_126343))], (2262 ^ _81879) ^ [_126416, _126418, _126420, _126422, _126424] : [hBOOL(hAPP(hAPP(c_member(_126416), _126418), _126420)), -(hAPP(c_FuncSet_Orestrict(_126416, _126422, _126424, _126420), _126418) = hAPP(_126424, _126418))], (2268 ^ _81879) ^ [_126529, _126531, _126533, _126535, _126537] : [-(hBOOL(hAPP(hAPP(c_member(_126529), _126531), _126533))), -(hAPP(c_FuncSet_Orestrict(_126529, _126535, _126537, _126533), _126531) = c_HOL_Oundefined(_126535))], (2274 ^ _81879) ^ [_126590, _126592] : [-(c_Transitive__Closure_Ortrancl(_126590, c_Transitive__Closure_Ortrancl(_126590, _126592)) = c_Transitive__Closure_Ortrancl(_126590, _126592))], (2276 ^ _81879) ^ [_126624, _126626, _126628, _126630, _126632] : [2278 ^ _81879 : [(2279 ^ _81879) ^ [] : [-(hBOOL(hAPP(hAPP(c_member(_126624), 2277 ^ [_126624, _126626, _126628, _126630, _126632]), _126626)))], (2281 ^ _81879) ^ [] : [hBOOL(hAPP(hAPP(c_member(_126628), hAPP(_126630, 2277 ^ [_126624, _126626, _126628, _126630, _126632])), hAPP(_126632, 2277 ^ [_126624, _126626, _126628, _126630, _126632])))]], -(hBOOL(hAPP(hAPP(c_member(tc_fun(_126624, _126628)), c_FuncSet_Orestrict(_126624, _126628, _126630, _126626)), c_FuncSet_OPi(_126624, _126628, _126626, _126632))))], (2285 ^ _81879) ^ [_126894, _126896, _126898, _126900, _126902] : [2287 ^ _81879 : [(2288 ^ _81879) ^ [] : [-(hBOOL(hAPP(hAPP(c_member(_126894), 2286 ^ [_126894, _126896, _126898, _126900, _126902]), _126896)))], (2290 ^ _81879) ^ [] : [hBOOL(hAPP(hAPP(c_member(_126898), hAPP(_126900, 2286 ^ [_126894, _126896, _126898, _126900, _126902])), _126902))]], -(hBOOL(hAPP(hAPP(c_member(tc_fun(_126894, _126898)), c_FuncSet_Orestrict(_126894, _126898, _126900, _126896)), c_FuncSet_OPi(_126894, _126898, _126896, c_COMBK(tc_fun(_126898, tc_HOL_Obool), _126894, _126902)))))], (2294 ^ _81879) ^ [_127156, _127158, _127160, _127162, _127164] : [c_Relation_Osingle__valued(_127156, _127156, _127158), hBOOL(hAPP(hAPP(c_member(tc_prod(_127156, _127156)), hAPP(hAPP(c_Product__Type_OPair(_127156, _127156), _127160), _127162)), c_Transitive__Closure_Ortrancl(_127156, _127158))), hBOOL(hAPP(hAPP(c_member(tc_prod(_127156, _127156)), hAPP(hAPP(c_Product__Type_OPair(_127156, _127156), _127160), _127164)), c_Transitive__Closure_Ortrancl(_127156, _127158))), -(hBOOL(hAPP(hAPP(c_member(tc_prod(_127156, _127156)), hAPP(hAPP(c_Product__Type_OPair(_127156, _127156), _127162), _127164)), c_Transitive__Closure_Ortrancl(_127156, _127158)))), -(hBOOL(hAPP(hAPP(c_member(tc_prod(_127156, _127156)), hAPP(hAPP(c_Product__Type_OPair(_127156, _127156), _127164), _127162)), c_Transitive__Closure_Ortrancl(_127156, _127158))))], (2312 ^ _81879) ^ [_127545, _127547, _127549, _127551] : [-(hBOOL(hAPP(hAPP(c_member(_127545), _127547), c_Relation_ODomain(_127545, _127545, _127549)))), 2315 ^ _81879 : [(2316 ^ _81879) ^ [] : [hBOOL(hAPP(hAPP(c_member(tc_prod(_127545, _127545)), hAPP(hAPP(c_Product__Type_OPair(_127545, _127545), _127547), _127551)), c_Transitive__Closure_Ortrancl(_127545, _127549))), -(_127547 = _127551)], (2322 ^ _81879) ^ [] : [_127547 = _127551, -(hBOOL(hAPP(hAPP(c_member(tc_prod(_127545, _127545)), hAPP(hAPP(c_Product__Type_OPair(_127545, _127545), _127547), _127551)), c_Transitive__Closure_Ortrancl(_127545, _127549))))]]], (2328 ^ _81879) ^ [_127839, _127841, _127843, _127845, _127847, _127849, _127851] : [hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(_127839, _127841), tc_prod(_127839, _127841))), hAPP(hAPP(c_Product__Type_OPair(tc_prod(_127839, _127841), tc_prod(_127839, _127841)), hAPP(hAPP(c_Product__Type_OPair(_127839, _127841), _127843), _127845)), hAPP(hAPP(c_Product__Type_OPair(_127839, _127841), _127847), _127849))), c_Transitive__Closure_Ortrancl(tc_prod(_127839, _127841), _127851))), -(hAPP(hAPP(c_Product__Type_OPair(_127839, _127841), _127843), _127845) = hAPP(hAPP(c_Product__Type_OPair(_127839, _127841), _127847), _127849)), 2337 ^ _81879 : [(2338 ^ _81879) ^ [] : [-(hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(_127839, _127841), tc_prod(_127839, _127841))), hAPP(hAPP(c_Product__Type_OPair(tc_prod(_127839, _127841), tc_prod(_127839, _127841)), hAPP(hAPP(c_Product__Type_OPair(_127839, _127841), _127843), _127845)), hAPP(hAPP(c_Product__Type_OPair(_127839, _127841), 2335 ^ [_127839, _127841, _127843, _127845, _127847, _127849, _127851]), 2336 ^ [_127839, _127841, _127843, _127845, _127847, _127849, _127851]))), _127851)))], (2340 ^ _81879) ^ [] : [-(hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(_127839, _127841), tc_prod(_127839, _127841))), hAPP(hAPP(c_Product__Type_OPair(tc_prod(_127839, _127841), tc_prod(_127839, _127841)), hAPP(hAPP(c_Product__Type_OPair(_127839, _127841), 2335 ^ [_127839, _127841, _127843, _127845, _127847, _127849, _127851]), 2336 ^ [_127839, _127841, _127843, _127845, _127847, _127849, _127851])), hAPP(hAPP(c_Product__Type_OPair(_127839, _127841), _127847), _127849))), c_Transitive__Closure_Ortrancl(tc_prod(_127839, _127841), _127851))))]]], (2342 ^ _81879) ^ [_128420, _128422, _128424, _128426, _128428, _128430, _128432, _128434] : [hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(_128420, _128422), tc_prod(_128420, _128422))), hAPP(hAPP(c_Product__Type_OPair(tc_prod(_128420, _128422), tc_prod(_128420, _128422)), hAPP(hAPP(c_Product__Type_OPair(_128420, _128422), _128424), _128426)), hAPP(hAPP(c_Product__Type_OPair(_128420, _128422), _128428), _128430))), c_Transitive__Closure_Ortrancl(tc_prod(_128420, _128422), _128432))), hBOOL(hAPP(hAPP(_128434, _128428), _128430)), 2355 ^ _81879 : [(2356 ^ _81879) ^ [] : [-(hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(_128420, _128422), tc_prod(_128420, _128422))), hAPP(hAPP(c_Product__Type_OPair(tc_prod(_128420, _128422), tc_prod(_128420, _128422)), hAPP(hAPP(c_Product__Type_OPair(_128420, _128422), 2351 ^ [_128420, _128422, _128424, _128426, _128428, _128430, _128432, _128434]), 2352 ^ [_128420, _128422, _128424, _128426, _128428, _128430, _128432, _128434])), hAPP(hAPP(c_Product__Type_OPair(_128420, _128422), 2353 ^ [_128420, _128422, _128424, _128426, _128428, _128430, _128432, _128434]), 2354 ^ [_128420, _128422, _128424, _128426, _128428, _128430, _128432, _128434]))), _128432)))], (2358 ^ _81879) ^ [] : [-(hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(_128420, _128422), tc_prod(_128420, _128422))), hAPP(hAPP(c_Product__Type_OPair(tc_prod(_128420, _128422), tc_prod(_128420, _128422)), hAPP(hAPP(c_Product__Type_OPair(_128420, _128422), 2353 ^ [_128420, _128422, _128424, _128426, _128428, _128430, _128432, _128434]), 2354 ^ [_128420, _128422, _128424, _128426, _128428, _128430, _128432, _128434])), hAPP(hAPP(c_Product__Type_OPair(_128420, _128422), _128428), _128430))), c_Transitive__Closure_Ortrancl(tc_prod(_128420, _128422), _128432))))], (2360 ^ _81879) ^ [] : [-(hBOOL(hAPP(hAPP(_128434, 2353 ^ [_128420, _128422, _128424, _128426, _128428, _128430, _128432, _128434]), 2354 ^ [_128420, _128422, _128424, _128426, _128428, _128430, _128432, _128434])))], (2362 ^ _81879) ^ [] : [hBOOL(hAPP(hAPP(_128434, 2351 ^ [_128420, _128422, _128424, _128426, _128428, _128430, _128432, _128434]), 2352 ^ [_128420, _128422, _128424, _128426, _128428, _128430, _128432, _128434]))]], -(hBOOL(hAPP(hAPP(_128434, _128424), _128426)))], (2366 ^ _81879) ^ [_129480, _129482, _129484, _129486, _129488, _129490, _129492, _129494] : [hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(_129480, _129482), tc_prod(_129480, _129482))), hAPP(hAPP(c_Product__Type_OPair(tc_prod(_129480, _129482), tc_prod(_129480, _129482)), hAPP(hAPP(c_Product__Type_OPair(_129480, _129482), _129484), _129486)), hAPP(hAPP(c_Product__Type_OPair(_129480, _129482), _129488), _129490))), c_Transitive__Closure_Ortrancl(tc_prod(_129480, _129482), _129492))), hBOOL(hAPP(hAPP(_129494, _129484), _129486)), 2377 ^ _81879 : [(2378 ^ _81879) ^ [] : [-(hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(_129480, _129482), tc_prod(_129480, _129482))), hAPP(hAPP(c_Product__Type_OPair(tc_prod(_129480, _129482), tc_prod(_129480, _129482)), hAPP(hAPP(c_Product__Type_OPair(_129480, _129482), _129484), _129486)), hAPP(hAPP(c_Product__Type_OPair(_129480, _129482), 2375 ^ [_129480, _129482, _129484, _129486, _129488, _129490, _129492, _129494]), 2376 ^ [_129480, _129482, _129484, _129486, _129488, _129490, _129492, _129494]))), c_Transitive__Closure_Ortrancl(tc_prod(_129480, _129482), _129492))))], (2382 ^ _81879) ^ [] : [-(hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(_129480, _129482), tc_prod(_129480, _129482))), hAPP(hAPP(c_Product__Type_OPair(tc_prod(_129480, _129482), tc_prod(_129480, _129482)), hAPP(hAPP(c_Product__Type_OPair(_129480, _129482), 2375 ^ [_129480, _129482, _129484, _129486, _129488, _129490, _129492, _129494]), 2376 ^ [_129480, _129482, _129484, _129486, _129488, _129490, _129492, _129494])), hAPP(hAPP(c_Product__Type_OPair(_129480, _129482), 2379 ^ [_129480, _129482, _129484, _129486, _129488, _129490, _129492, _129494]), 2380 ^ [_129480, _129482, _129484, _129486, _129488, _129490, _129492, _129494]))), _129492)))], (2384 ^ _81879) ^ [] : [-(hBOOL(hAPP(hAPP(_129494, 2375 ^ [_129480, _129482, _129484, _129486, _129488, _129490, _129492, _129494]), 2376 ^ [_129480, _129482, _129484, _129486, _129488, _129490, _129492, _129494])))], (2386 ^ _81879) ^ [] : [hBOOL(hAPP(hAPP(_129494, 2379 ^ [_129480, _129482, _129484, _129486, _129488, _129490, _129492, _129494]), 2380 ^ [_129480, _129482, _129484, _129486, _129488, _129490, _129492, _129494]))]], -(hBOOL(hAPP(hAPP(_129494, _129488), _129490)))], (2390 ^ _81879) ^ [_130610, _130612, _130614, _130616] : [-(c_FuncSet_Oextensional__funcset(_130610, _130612, _130614, _130616) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_fun(_130610, _130612), tc_HOL_Obool)), c_FuncSet_OPi(_130610, _130612, _130614, c_COMBK(tc_fun(_130612, tc_HOL_Obool), _130610, _130616))), c_FuncSet_Oextensional(_130610, _130612, _130614)))], (2392 ^ _81879) ^ [_130674, _130676, _130678, _130680] : [hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_130674, tc_HOL_Obool)), _130676), _130678), _130680)), 2395 ^ _81879 : [(2396 ^ _81879) ^ [] : [-(hBOOL(hAPP(_130676, _130680)))], (2398 ^ _81879) ^ [] : [-(hBOOL(hAPP(_130678, _130680)))]]], (2400 ^ _81879) ^ [_130819, _130821, _130823, _130825] : [hBOOL(hAPP(_130819, _130821)), hBOOL(hAPP(_130823, _130821)), -(hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_130825, tc_HOL_Obool)), _130819), _130823), _130821)))], (2410 ^ _81879) ^ [_130990, _130992, _130994, _130996] : [hBOOL(hAPP(hAPP(c_member(_130990), _130992), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_130990, tc_HOL_Obool)), _130994), _130996))), 2413 ^ _81879 : [(2414 ^ _81879) ^ [] : [-(hBOOL(hAPP(hAPP(c_member(_130990), _130992), _130994)))], (2416 ^ _81879) ^ [] : [-(hBOOL(hAPP(hAPP(c_member(_130990), _130992), _130996)))]]], (2418 ^ _81879) ^ [_131165, _131167, _131169, _131171] : [hBOOL(hAPP(hAPP(c_member(_131165), _131167), _131169)), hBOOL(hAPP(hAPP(c_member(_131165), _131167), _131171)), -(hBOOL(hAPP(hAPP(c_member(_131165), _131167), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_131165, tc_HOL_Obool)), _131169), _131171))))], (2428 ^ _81879) ^ [_131366, _131368, _131370, _131372] : [-(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_131366, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_131366, tc_HOL_Obool)), _131368), _131370)), _131372) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_131366, tc_HOL_Obool)), _131368), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_131366, tc_HOL_Obool)), _131370), _131372)))], (2430 ^ _81879) ^ [_131439, _131441, _131443, _131445] : [-(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_131439, tc_HOL_Obool)), _131441), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_131439, tc_HOL_Obool)), _131443), _131445)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_131439, tc_HOL_Obool)), _131443), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_131439, tc_HOL_Obool)), _131441), _131445)))], (2432 ^ _81879) ^ [_131512, _131514, _131516] : [-(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_131512, tc_HOL_Obool)), _131514), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_131512, tc_HOL_Obool)), _131514), _131516)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_131512, tc_HOL_Obool)), _131514), _131516))], (2434 ^ _81879) ^ [_131572, _131574, _131576] : [-(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_131572, tc_HOL_Obool)), _131574), _131576) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_131572, tc_HOL_Obool)), _131576), _131574))], (2436 ^ _81879) ^ [_131621, _131623] : [-(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_131621, tc_HOL_Obool)), _131623), _131623) = _131623)], (2438 ^ _81879) ^ [_131657, _131659, _131661, _131663] : [hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_131657, tc_HOL_Obool)), _131659), _131661), _131663)), -(hBOOL(hAPP(_131661, _131663)))], (2444 ^ _81879) ^ [_131768, _131770, _131772, _131774] : [hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_131768, tc_HOL_Obool)), _131770), _131772), _131774)), -(hBOOL(hAPP(_131770, _131774)))], (2450 ^ _81879) ^ [_131879, _131881, _131883, _131885] : [hBOOL(hAPP(hAPP(c_member(_131879), _131881), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_131879, tc_HOL_Obool)), _131883), _131885))), -(hBOOL(hAPP(hAPP(c_member(_131879), _131881), _131885)))], (2456 ^ _81879) ^ [_132010, _132012, _132014, _132016] : [hBOOL(hAPP(hAPP(c_member(_132010), _132012), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_132010, tc_HOL_Obool)), _132014), _132016))), -(hBOOL(hAPP(hAPP(c_member(_132010), _132012), _132014)))], (2462 ^ _81879) ^ [_132162, _132164, _132166, _132168] : [hBOOL(hAPP(hAPP(c_member(_132162), _132164), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_132162, tc_HOL_Obool)), _132166), _132168))), 2465 ^ _81879 : [(2466 ^ _81879) ^ [] : [-(hBOOL(hAPP(hAPP(c_member(_132162), _132164), _132166)))], (2468 ^ _81879) ^ [] : [-(hBOOL(hAPP(hAPP(c_member(_132162), _132164), _132168)))]]], (2470 ^ _81879) ^ [_132329, _132331, _132333, _132335] : [-(hBOOL(hAPP(hAPP(c_member(_132329), _132331), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_132329, tc_HOL_Obool)), _132333), _132335)))), hBOOL(hAPP(hAPP(c_member(_132329), _132331), _132333)), hBOOL(hAPP(hAPP(c_member(_132329), _132331), _132335))], (2480 ^ _81879) ^ [_132553, _132555, _132557, _132559] : [hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_132553, tc_HOL_Obool)), hAPP(hAPP(c_COMBC(_132553, tc_fun(_132553, tc_HOL_Obool), tc_HOL_Obool), c_member(_132553)), _132555)), hAPP(hAPP(c_COMBC(_132553, tc_fun(_132553, tc_HOL_Obool), tc_HOL_Obool), c_member(_132553)), _132557)), _132559)), -(hBOOL(hAPP(hAPP(c_member(_132553), _132559), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_132553, tc_HOL_Obool)), _132555), _132557))))], (2486 ^ _81879) ^ [_132752, _132754, _132756, _132758] : [hBOOL(hAPP(hAPP(c_member(_132752), _132758), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_132752, tc_HOL_Obool)), _132754), _132756))), -(hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_132752, tc_HOL_Obool)), hAPP(hAPP(c_COMBC(_132752, tc_fun(_132752, tc_HOL_Obool), tc_HOL_Obool), c_member(_132752)), _132754)), hAPP(hAPP(c_COMBC(_132752, tc_fun(_132752, tc_HOL_Obool), tc_HOL_Obool), c_member(_132752)), _132756)), _132758)))], (2492 ^ _81879) ^ [_132957, _132959, _132961, _132963, _132965] : [hBOOL(hAPP(hAPP(c_member(tc_prod(_132957, _132959)), hAPP(hAPP(c_Product__Type_OPair(_132957, _132959), _132961), _132963)), _132965)), -(hBOOL(hAPP(hAPP(c_member(_132957), _132961), c_Relation_ODomain(_132957, _132959, _132965))))], (2498 ^ _81879) ^ [_133121, _133123, _133125, _133127] : [hBOOL(hAPP(hAPP(c_member(_133121), _133123), c_Relation_ODomain(_133121, _133125, _133127))), -(hBOOL(hAPP(hAPP(c_member(tc_prod(_133121, _133125)), hAPP(hAPP(c_Product__Type_OPair(_133121, _133125), _133123), 2501 ^ [_133121, _133123, _133125, _133127])), _133127)))], (2505 ^ _81879) ^ [_133274, _133276, _133278, _133280] : [2506 ^ _81879 : [(2507 ^ _81879) ^ [_133347] : [hBOOL(hAPP(hAPP(c_member(tc_prod(_133274, _133278)), hAPP(hAPP(c_Product__Type_OPair(_133274, _133278), _133276), _133347)), _133280))]], -(hBOOL(hAPP(hAPP(c_member(_133274), _133276), c_Relation_ODomain(_133274, _133278, _133280))))], (2511 ^ _81879) ^ [_133430, _133432, _133434, _133436, _133438, _133440] : [c_Relation_Osingle__valued(_133430, _133432, _133434), hBOOL(hAPP(hAPP(c_member(tc_prod(_133430, _133432)), hAPP(hAPP(c_Product__Type_OPair(_133430, _133432), _133436), _133438)), _133434)), hBOOL(hAPP(hAPP(c_member(tc_prod(_133430, _133432)), hAPP(hAPP(c_Product__Type_OPair(_133430, _133432), _133436), _133440)), _133434)), -(_133438 = _133440)], (2539 ^ _81879) ^ [_134105, _134107, _134109] : [2542 ^ _81879 : [(2543 ^ _81879) ^ [] : [-(hBOOL(hAPP(hAPP(c_member(tc_prod(_134105, _134107)), hAPP(hAPP(c_Product__Type_OPair(_134105, _134107), 2540 ^ [_134105, _134107, _134109]), 2541 ^ [_134105, _134107, _134109])), _134109)))], (2546 ^ _81879) ^ [] : [-(hBOOL(hAPP(hAPP(c_member(tc_prod(_134105, _134107)), hAPP(hAPP(c_Product__Type_OPair(_134105, _134107), 2540 ^ [_134105, _134107, _134109]), 2544 ^ [_134105, _134107, _134109])), _134109)))], (2548 ^ _81879) ^ [] : [2541 ^ [_134105, _134107, _134109] = 2544 ^ [_134105, _134107, _134109]]], -(c_Relation_Osingle__valued(_134105, _134107, _134109))], (2525 ^ _81879) ^ [_133731, _133733, _133735] : [c_Relation_Osingle__valued(_133731, _133733, _133735), 2528 ^ _81879 : [(2529 ^ _81879) ^ [_133852, _133854] : [hBOOL(hAPP(hAPP(c_member(tc_prod(_133731, _133733)), hAPP(hAPP(c_Product__Type_OPair(_133731, _133733), _133854), _133852)), _133735)), 2532 ^ _81879 : [(2533 ^ _81879) ^ [_133978] : [hBOOL(hAPP(hAPP(c_member(tc_prod(_133731, _133733)), hAPP(hAPP(c_Product__Type_OPair(_133731, _133733), _133854), _133978)), _133735)), -(_133852 = _133978)]]]]], (2552 ^ _81879) ^ [_134496, _134498, _134500, _134502] : [c_Predicate_ODomainP(_134496, _134498, hAPP(hAPP(c_COMBC(_134496, tc_fun(tc_prod(_134496, _134498), tc_HOL_Obool), tc_fun(_134498, tc_HOL_Obool)), hAPP(c_COMBB(tc_fun(_134498, tc_fun(tc_fun(tc_prod(_134496, _134498), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_134496, _134498), tc_HOL_Obool), tc_fun(_134498, tc_HOL_Obool)), _134496, c_COMBC(_134498, tc_fun(tc_prod(_134496, _134498), tc_HOL_Obool), tc_HOL_Obool)), hAPP(c_COMBB(tc_fun(_134498, tc_prod(_134496, _134498)), tc_fun(_134498, tc_fun(tc_fun(tc_prod(_134496, _134498), tc_HOL_Obool), tc_HOL_Obool)), _134496, c_COMBB(tc_prod(_134496, _134498), tc_fun(tc_fun(tc_prod(_134496, _134498), tc_HOL_Obool), tc_HOL_Obool), _134498, c_member(tc_prod(_134496, _134498)))), c_Product__Type_OPair(_134496, _134498)))), _134500), _134502), -(hBOOL(hAPP(hAPP(c_member(_134496), _134502), c_Relation_ODomain(_134496, _134498, _134500))))], (2558 ^ _81879) ^ [_134823, _134825, _134827, _134829] : [hBOOL(hAPP(hAPP(c_member(_134823), _134829), c_Relation_ODomain(_134823, _134825, _134827))), -(c_Predicate_ODomainP(_134823, _134825, hAPP(hAPP(c_COMBC(_134823, tc_fun(tc_prod(_134823, _134825), tc_HOL_Obool), tc_fun(_134825, tc_HOL_Obool)), hAPP(c_COMBB(tc_fun(_134825, tc_fun(tc_fun(tc_prod(_134823, _134825), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_134823, _134825), tc_HOL_Obool), tc_fun(_134825, tc_HOL_Obool)), _134823, c_COMBC(_134825, tc_fun(tc_prod(_134823, _134825), tc_HOL_Obool), tc_HOL_Obool)), hAPP(c_COMBB(tc_fun(_134825, tc_prod(_134823, _134825)), tc_fun(_134825, tc_fun(tc_fun(tc_prod(_134823, _134825), tc_HOL_Obool), tc_HOL_Obool)), _134823, c_COMBB(tc_prod(_134823, _134825), tc_fun(tc_fun(tc_prod(_134823, _134825), tc_HOL_Obool), tc_HOL_Obool), _134825, c_member(tc_prod(_134823, _134825)))), c_Product__Type_OPair(_134823, _134825)))), _134827), _134829))], (2564 ^ _81879) ^ [_135156, _135158, _135160, _135162, _135164] : [class_Lattices_Olattice(_135156), -(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_135158, _135156)), _135160), _135162), _135164) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_135156), hAPP(_135160, _135164)), hAPP(_135162, _135164)))], (2570 ^ _81879) ^ [_135293, _135295, _135297, _135299, _135301] : [class_Lattices_Olattice(_135293), -(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_135295, _135293)), _135297), _135299), _135301) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_135293), hAPP(_135297, _135301)), hAPP(_135299, _135301)))], (2576 ^ _81879) ^ [_135430, _135432, _135434, _135436, _135438] : [hBOOL(hAPP(hAPP(_135430, _135432), _135434)), -(c_Predicate_ODomainP(_135436, _135438, _135430, _135432))], (2582 ^ _81879) ^ [_135554, _135556, _135558, _135560, _135562, _135564] : [hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_135554, tc_fun(_135556, tc_HOL_Obool))), hAPP(hAPP(c_COMBC(_135554, tc_fun(tc_prod(_135554, _135556), tc_HOL_Obool), tc_fun(_135556, tc_HOL_Obool)), hAPP(c_COMBB(tc_fun(_135556, tc_fun(tc_fun(tc_prod(_135554, _135556), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_135554, _135556), tc_HOL_Obool), tc_fun(_135556, tc_HOL_Obool)), _135554, c_COMBC(_135556, tc_fun(tc_prod(_135554, _135556), tc_HOL_Obool), tc_HOL_Obool)), hAPP(c_COMBB(tc_fun(_135556, tc_prod(_135554, _135556)), tc_fun(_135556, tc_fun(tc_fun(tc_prod(_135554, _135556), tc_HOL_Obool), tc_HOL_Obool)), _135554, c_COMBB(tc_prod(_135554, _135556), tc_fun(tc_fun(tc_prod(_135554, _135556), tc_HOL_Obool), tc_HOL_Obool), _135556, c_member(tc_prod(_135554, _135556)))), c_Product__Type_OPair(_135554, _135556)))), _135558)), hAPP(hAPP(c_COMBC(_135554, tc_fun(tc_prod(_135554, _135556), tc_HOL_Obool), tc_fun(_135556, tc_HOL_Obool)), hAPP(c_COMBB(tc_fun(_135556, tc_fun(tc_fun(tc_prod(_135554, _135556), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_135554, _135556), tc_HOL_Obool), tc_fun(_135556, tc_HOL_Obool)), _135554, c_COMBC(_135556, tc_fun(tc_prod(_135554, _135556), tc_HOL_Obool), tc_HOL_Obool)), hAPP(c_COMBB(tc_fun(_135556, tc_prod(_135554, _135556)), tc_fun(_135556, tc_fun(tc_fun(tc_prod(_135554, _135556), tc_HOL_Obool), tc_HOL_Obool)), _135554, c_COMBB(tc_prod(_135554, _135556), tc_fun(tc_fun(tc_prod(_135554, _135556), tc_HOL_Obool), tc_HOL_Obool), _135556, c_member(tc_prod(_135554, _135556)))), c_Product__Type_OPair(_135554, _135556)))), _135560)), _135562), _135564)), -(hBOOL(hAPP(hAPP(c_member(tc_prod(_135554, _135556)), hAPP(hAPP(c_Product__Type_OPair(_135554, _135556), _135562), _135564)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(_135554, _135556), tc_HOL_Obool)), _135558), _135560))))], (2588 ^ _81879) ^ [_136187, _136189, _136191, _136193, _136195, _136197] : [hBOOL(hAPP(hAPP(c_member(tc_prod(_136187, _136189)), hAPP(hAPP(c_Product__Type_OPair(_136187, _136189), _136195), _136197)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(_136187, _136189), tc_HOL_Obool)), _136191), _136193))), -(hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_136187, tc_fun(_136189, tc_HOL_Obool))), hAPP(hAPP(c_COMBC(_136187, tc_fun(tc_prod(_136187, _136189), tc_HOL_Obool), tc_fun(_136189, tc_HOL_Obool)), hAPP(c_COMBB(tc_fun(_136189, tc_fun(tc_fun(tc_prod(_136187, _136189), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_136187, _136189), tc_HOL_Obool), tc_fun(_136189, tc_HOL_Obool)), _136187, c_COMBC(_136189, tc_fun(tc_prod(_136187, _136189), tc_HOL_Obool), tc_HOL_Obool)), hAPP(c_COMBB(tc_fun(_136189, tc_prod(_136187, _136189)), tc_fun(_136189, tc_fun(tc_fun(tc_prod(_136187, _136189), tc_HOL_Obool), tc_HOL_Obool)), _136187, c_COMBB(tc_prod(_136187, _136189), tc_fun(tc_fun(tc_prod(_136187, _136189), tc_HOL_Obool), tc_HOL_Obool), _136189, c_member(tc_prod(_136187, _136189)))), c_Product__Type_OPair(_136187, _136189)))), _136191)), hAPP(hAPP(c_COMBC(_136187, tc_fun(tc_prod(_136187, _136189), tc_HOL_Obool), tc_fun(_136189, tc_HOL_Obool)), hAPP(c_COMBB(tc_fun(_136189, tc_fun(tc_fun(tc_prod(_136187, _136189), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_136187, _136189), tc_HOL_Obool), tc_fun(_136189, tc_HOL_Obool)), _136187, c_COMBC(_136189, tc_fun(tc_prod(_136187, _136189), tc_HOL_Obool), tc_HOL_Obool)), hAPP(c_COMBB(tc_fun(_136189, tc_prod(_136187, _136189)), tc_fun(_136189, tc_fun(tc_fun(tc_prod(_136187, _136189), tc_HOL_Obool), tc_HOL_Obool)), _136187, c_COMBB(tc_prod(_136187, _136189), tc_fun(tc_fun(tc_prod(_136187, _136189), tc_HOL_Obool), tc_HOL_Obool), _136189, c_member(tc_prod(_136187, _136189)))), c_Product__Type_OPair(_136187, _136189)))), _136193)), _136195), _136197)))], (2594 ^ _81879) ^ [_136826, _136828, _136830, _136832] : [class_Lattices_Osemilattice__inf(_136826), -(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_136826), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_136826), _136828), _136830)), _136832) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_136826), _136828), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_136826), _136830), _136832)))], (2600 ^ _81879) ^ [_136969, _136971, _136973, _136975] : [class_Lattices_Olattice(_136969), -(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_136969), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_136969), _136971), _136973)), _136975) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_136969), _136971), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_136969), _136973), _136975)))], (2606 ^ _81879) ^ [_137112, _137114, _137116, _137118] : [class_Lattices_Osemilattice__inf(_137112), -(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_137112), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_137112), _137114), _137116)), _137118) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_137112), _137114), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_137112), _137116), _137118)))], (2612 ^ _81879) ^ [_137255, _137257, _137259, _137261] : [class_Lattices_Osemilattice__inf(_137255), -(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_137255), _137257), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_137255), _137259), _137261)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_137255), _137259), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_137255), _137257), _137261)))], (2618 ^ _81879) ^ [_137398, _137400, _137402, _137404] : [class_Lattices_Olattice(_137398), -(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_137398), _137400), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_137398), _137402), _137404)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_137398), _137402), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_137398), _137400), _137404)))], (2624 ^ _81879) ^ [_137541, _137543, _137545, _137547] : [class_Lattices_Osemilattice__inf(_137541), -(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_137541), _137543), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_137541), _137545), _137547)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_137541), _137545), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_137541), _137543), _137547)))], (2630 ^ _81879) ^ [_137684, _137686, _137688] : [class_Lattices_Osemilattice__inf(_137684), -(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_137684), _137686), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_137684), _137686), _137688)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_137684), _137686), _137688))], (2636 ^ _81879) ^ [_137809, _137811, _137813] : [class_Lattices_Olattice(_137809), -(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_137809), _137811), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_137809), _137811), _137813)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_137809), _137811), _137813))], (2642 ^ _81879) ^ [_137934, _137936, _137938] : [class_Lattices_Osemilattice__inf(_137934), -(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_137934), _137936), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_137934), _137936), _137938)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_137934), _137936), _137938))], (2648 ^ _81879) ^ [_138059, _138061, _138063] : [class_Lattices_Osemilattice__inf(_138059), -(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_138059), _138061), _138063) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_138059), _138063), _138061))], (2654 ^ _81879) ^ [_138168, _138170, _138172] : [class_Lattices_Olattice(_138168), -(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_138168), _138170), _138172) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_138168), _138172), _138170))], (2660 ^ _81879) ^ [_138277, _138279, _138281] : [class_Lattices_Osemilattice__inf(_138277), -(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_138277), _138279), _138281) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_138277), _138281), _138279))], (2666 ^ _81879) ^ [_138386, _138388] : [class_Lattices_Osemilattice__inf(_138386), -(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_138386), _138388), _138388) = _138388)], (2672 ^ _81879) ^ [_138477, _138479] : [class_Lattices_Osemilattice__inf(_138477), -(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_138477), _138479), _138479) = _138479)], (2678 ^ _81879) ^ [_138583, _138585] : [c_Relation_Oirrefl(_138583, _138585), 2681 ^ _81879 : [(2682 ^ _81879) ^ [_138665] : [hBOOL(hAPP(hAPP(c_member(tc_prod(_138583, _138583)), hAPP(hAPP(c_Product__Type_OPair(_138583, _138583), _138665), _138665)), _138585))]]], (2684 ^ _81879) ^ [_138705, _138707] : [-(hBOOL(hAPP(hAPP(c_member(tc_prod(_138705, _138705)), hAPP(hAPP(c_Product__Type_OPair(_138705, _138705), 2685 ^ [_138705, _138707]), 2685 ^ [_138705, _138707])), _138707))), -(c_Relation_Oirrefl(_138705, _138707))], (2691 ^ _81879) ^ [_138776, _138778, _138780, _138782] : [hBOOL(hAPP(hAPP(c_member(_138776), _138778), c_Relation_ODomain(_138776, _138780, _138782))), -(hBOOL(hAPP(hAPP(c_member(tc_prod(_138776, _138780)), hAPP(hAPP(c_Product__Type_OPair(_138776, _138780), _138778), 2694 ^ [_138776, _138778, _138780, _138782])), _138782)))], (2698 ^ _81879) ^ [_138937, _138939, _138941, _138943, _138945] : [hBOOL(hAPP(hAPP(c_member(tc_prod(_138937, _138939)), hAPP(hAPP(c_Product__Type_OPair(_138937, _138939), _138941), _138943)), _138945)), -(hBOOL(hAPP(hAPP(c_member(_138939), _138943), c_Relation_ORange(_138937, _138939, _138945))))], (2704 ^ _81879) ^ [_139101, _139103, _139105, _139107] : [hBOOL(hAPP(hAPP(c_member(tc_prod(_139101, _139101)), hAPP(hAPP(c_Product__Type_OPair(_139101, _139101), _139103), _139105)), c_Relation_OId__on(_139101, _139107))), 2707 ^ _81879 : [(2708 ^ _81879) ^ [] : [-(_139103 = _139105)], (2710 ^ _81879) ^ [] : [-(hBOOL(hAPP(hAPP(c_member(_139101), _139103), _139107)))]]], (2712 ^ _81879) ^ [_139262, _139264, _139266, _139268] : [-(hBOOL(hAPP(hAPP(c_member(tc_prod(_139262, _139262)), hAPP(hAPP(c_Product__Type_OPair(_139262, _139262), _139264), _139266)), c_Relation_OId__on(_139262, _139268)))), _139264 = _139266, hBOOL(hAPP(hAPP(c_member(_139262), _139264), _139268))], (2722 ^ _81879) ^ [_139459, _139461, _139463, _139465] : [_139459 = _139461, hBOOL(hAPP(hAPP(c_member(_139463), _139459), _139465)), -(hBOOL(hAPP(hAPP(c_member(tc_prod(_139463, _139463)), hAPP(hAPP(c_Product__Type_OPair(_139463, _139463), _139459), _139461)), c_Relation_OId__on(_139463, _139465))))], (2732 ^ _81879) ^ [_139654, _139656, _139658] : [2735 ^ _81879 : [(2736 ^ _81879) ^ [] : [-(hBOOL(hAPP(hAPP(c_member(tc_prod(_139654, _139656)), hAPP(hAPP(c_Product__Type_OPair(_139654, _139656), 2733 ^ [_139654, _139656, _139658]), 2734 ^ [_139654, _139656, _139658])), _139658)))], (2739 ^ _81879) ^ [] : [-(hBOOL(hAPP(hAPP(c_member(tc_prod(_139654, _139656)), hAPP(hAPP(c_Product__Type_OPair(_139654, _139656), 2733 ^ [_139654, _139656, _139658]), 2737 ^ [_139654, _139656, _139658])), _139658)))], (2741 ^ _81879) ^ [] : [2734 ^ [_139654, _139656, _139658] = 2737 ^ [_139654, _139656, _139658]]], -(c_Relation_Osingle__valued(_139654, _139656, _139658))], (2745 ^ _81879) ^ [_140022, _140024, _140026, _140028, _140030] : [hBOOL(hAPP(hAPP(c_member(tc_prod(_140022, _140022)), hAPP(hAPP(c_Product__Type_OPair(_140022, _140022), _140024), _140026)), c_Transitive__Closure_Ortrancl(_140022, _140028))), hBOOL(hAPP(_140030, _140024)), 2755 ^ _81879 : [(2756 ^ _81879) ^ [] : [-(hBOOL(hAPP(hAPP(c_member(tc_prod(_140022, _140022)), hAPP(hAPP(c_Product__Type_OPair(_140022, _140022), _140024), 2754 ^ [_140022, _140024, _140026, _140028, _140030])), c_Transitive__Closure_Ortrancl(_140022, _140028))))], (2759 ^ _81879) ^ [] : [-(hBOOL(hAPP(hAPP(c_member(tc_prod(_140022, _140022)), hAPP(hAPP(c_Product__Type_OPair(_140022, _140022), 2754 ^ [_140022, _140024, _140026, _140028, _140030]), 2757 ^ [_140022, _140024, _140026, _140028, _140030])), _140028)))], (2761 ^ _81879) ^ [] : [-(hBOOL(hAPP(_140030, 2754 ^ [_140022, _140024, _140026, _140028, _140030])))], (2763 ^ _81879) ^ [] : [hBOOL(hAPP(_140030, 2757 ^ [_140022, _140024, _140026, _140028, _140030]))]], -(hBOOL(hAPP(_140030, _140026)))], (2767 ^ _81879) ^ [_140633, _140635, _140637, _140639, _140641, _140643] : [hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_140633, tc_fun(_140635, tc_HOL_Obool))), _140637), _140639), _140641), _140643)), 2770 ^ _81879 : [(2771 ^ _81879) ^ [] : [-(hBOOL(hAPP(hAPP(_140637, _140641), _140643)))], (2773 ^ _81879) ^ [] : [-(hBOOL(hAPP(hAPP(_140639, _140641), _140643)))]]], (2775 ^ _81879) ^ [_140806, _140808, _140810, _140812, _140814, _140816] : [hBOOL(hAPP(hAPP(_140806, _140808), _140810)), hBOOL(hAPP(hAPP(_140812, _140808), _140810)), -(hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_140814, tc_fun(_140816, tc_HOL_Obool))), _140806), _140812), _140808), _140810)))], (2785 ^ _81879) ^ [_141009, _141011, _141013, _141015, _141017, _141019] : [hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_141009, tc_fun(_141011, tc_HOL_Obool))), _141013), _141015), _141017), _141019)), -(hBOOL(hAPP(hAPP(_141015, _141017), _141019)))], (2791 ^ _81879) ^ [_141142, _141144, _141146, _141148, _141150, _141152] : [hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_141142, tc_fun(_141144, tc_HOL_Obool))), _141146), _141148), _141150), _141152)), -(hBOOL(hAPP(hAPP(_141146, _141150), _141152)))], (2797 ^ _81879) ^ [_141275, _141277] : [-(c_Relation_ORange(_141275, _141275, c_Relation_OId__on(_141275, _141277)) = _141277)], (2799 ^ _81879) ^ [_141307, _141309] : [-(c_Relation_ODomain(_141307, _141307, c_Relation_OId__on(_141307, _141309)) = _141309)], (2801 ^ _81879) ^ [_141339, _141341] : [-(c_Relation_Osingle__valued(_141339, _141339, c_Relation_OId__on(_141339, _141341)))], (2803 ^ _81879) ^ [_141389, _141391, _141393, _141395] : [hBOOL(hAPP(hAPP(c_member(_141389), _141391), c_Relation_ORange(_141393, _141389, _141395))), -(hBOOL(hAPP(hAPP(c_member(tc_prod(_141393, _141389)), hAPP(hAPP(c_Product__Type_OPair(_141393, _141389), 2806 ^ [_141389, _141391, _141393, _141395]), _141391)), _141395)))], (2810 ^ _81879) ^ [_141542, _141544, _141546, _141548] : [2811 ^ _81879 : [(2812 ^ _81879) ^ [_141615] : [hBOOL(hAPP(hAPP(c_member(tc_prod(_141546, _141542)), hAPP(hAPP(c_Product__Type_OPair(_141546, _141542), _141615), _141544)), _141548))]], -(hBOOL(hAPP(hAPP(c_member(_141542), _141544), c_Relation_ORange(_141546, _141542, _141548))))], (2816 ^ _81879) ^ [_141719, _141721, _141723, _141725] : [c_Predicate_ORangeP(_141719, _141721, hAPP(hAPP(c_COMBC(_141719, tc_fun(tc_prod(_141719, _141721), tc_HOL_Obool), tc_fun(_141721, tc_HOL_Obool)), hAPP(c_COMBB(tc_fun(_141721, tc_fun(tc_fun(tc_prod(_141719, _141721), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_141719, _141721), tc_HOL_Obool), tc_fun(_141721, tc_HOL_Obool)), _141719, c_COMBC(_141721, tc_fun(tc_prod(_141719, _141721), tc_HOL_Obool), tc_HOL_Obool)), hAPP(c_COMBB(tc_fun(_141721, tc_prod(_141719, _141721)), tc_fun(_141721, tc_fun(tc_fun(tc_prod(_141719, _141721), tc_HOL_Obool), tc_HOL_Obool)), _141719, c_COMBB(tc_prod(_141719, _141721), tc_fun(tc_fun(tc_prod(_141719, _141721), tc_HOL_Obool), tc_HOL_Obool), _141721, c_member(tc_prod(_141719, _141721)))), c_Product__Type_OPair(_141719, _141721)))), _141723), _141725), -(hBOOL(hAPP(hAPP(c_member(_141721), _141725), c_Relation_ORange(_141719, _141721, _141723))))], (2822 ^ _81879) ^ [_142046, _142048, _142050, _142052] : [hBOOL(hAPP(hAPP(c_member(_142048), _142052), c_Relation_ORange(_142046, _142048, _142050))), -(c_Predicate_ORangeP(_142046, _142048, hAPP(hAPP(c_COMBC(_142046, tc_fun(tc_prod(_142046, _142048), tc_HOL_Obool), tc_fun(_142048, tc_HOL_Obool)), hAPP(c_COMBB(tc_fun(_142048, tc_fun(tc_fun(tc_prod(_142046, _142048), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_142046, _142048), tc_HOL_Obool), tc_fun(_142048, tc_HOL_Obool)), _142046, c_COMBC(_142048, tc_fun(tc_prod(_142046, _142048), tc_HOL_Obool), tc_HOL_Obool)), hAPP(c_COMBB(tc_fun(_142048, tc_prod(_142046, _142048)), tc_fun(_142048, tc_fun(tc_fun(tc_prod(_142046, _142048), tc_HOL_Obool), tc_HOL_Obool)), _142046, c_COMBB(tc_prod(_142046, _142048), tc_fun(tc_fun(tc_prod(_142046, _142048), tc_HOL_Obool), tc_HOL_Obool), _142048, c_member(tc_prod(_142046, _142048)))), c_Product__Type_OPair(_142046, _142048)))), _142050), _142052))], (2828 ^ _81879) ^ [_142379, _142381, _142383] : [hBOOL(hAPP(hAPP(c_member(tc_prod(_142379, _142379)), _142381), c_Relation_OId__on(_142379, _142383))), 2832 ^ _81879 : [(2833 ^ _81879) ^ [] : [-(hBOOL(hAPP(hAPP(c_member(_142379), 2831 ^ [_142379, _142381, _142383]), _142383)))], (2835 ^ _81879) ^ [] : [-(_142381 = hAPP(hAPP(c_Product__Type_OPair(_142379, _142379), 2831 ^ [_142379, _142381, _142383]), 2831 ^ [_142379, _142381, _142383]))]]], (2837 ^ _81879) ^ [_142578, _142580, _142582, _142584] : [hBOOL(hAPP(hAPP(c_member(_142578), _142580), c_Relation_ORange(_142582, _142578, _142584))), -(hBOOL(hAPP(hAPP(c_member(tc_prod(_142582, _142578)), hAPP(hAPP(c_Product__Type_OPair(_142582, _142578), 2840 ^ [_142578, _142580, _142582, _142584]), _142580)), _142584)))], (2844 ^ _81879) ^ [_142739, _142741, _142743, _142745] : [hBOOL(hAPP(hAPP(c_member(tc_prod(_142739, _142739)), hAPP(hAPP(c_Product__Type_OPair(_142739, _142739), _142741), _142743)), c_Transitive__Closure_Ortrancl(_142739, _142745))), -(_142741 = _142743), 2852 ^ _81879 : [(2853 ^ _81879) ^ [] : [-(hBOOL(hAPP(hAPP(c_member(tc_prod(_142739, _142739)), hAPP(hAPP(c_Product__Type_OPair(_142739, _142739), _142741), 2851 ^ [_142739, _142741, _142743, _142745])), c_Transitive__Closure_Ortrancl(_142739, _142745))))], (2855 ^ _81879) ^ [] : [-(hBOOL(hAPP(hAPP(c_member(tc_prod(_142739, _142739)), hAPP(hAPP(c_Product__Type_OPair(_142739, _142739), 2851 ^ [_142739, _142741, _142743, _142745]), _142743)), _142745)))]]], (2857 ^ _81879) ^ [_143035, _143037, _143039, _143041] : [hBOOL(hAPP(hAPP(c_member(tc_prod(_143035, _143035)), hAPP(hAPP(c_Product__Type_OPair(_143035, _143035), _143037), _143039)), c_Transitive__Closure_Ortrancl(_143035, _143041))), -(_143037 = _143039), 2865 ^ _81879 : [(2866 ^ _81879) ^ [] : [-(hBOOL(hAPP(hAPP(c_member(tc_prod(_143035, _143035)), hAPP(hAPP(c_Product__Type_OPair(_143035, _143035), _143037), 2864 ^ [_143035, _143037, _143039, _143041])), _143041)))], (2868 ^ _81879) ^ [] : [-(hBOOL(hAPP(hAPP(c_member(tc_prod(_143035, _143035)), hAPP(hAPP(c_Product__Type_OPair(_143035, _143035), 2864 ^ [_143035, _143037, _143039, _143041]), _143039)), c_Transitive__Closure_Ortrancl(_143035, _143041))))]]], (2870 ^ _81879) ^ [_143331, _143333, _143335, _143337, _143339] : [hBOOL(hAPP(hAPP(c_member(tc_prod(_143331, _143331)), hAPP(hAPP(c_Product__Type_OPair(_143331, _143331), _143333), _143335)), c_Transitive__Closure_Ortrancl(_143331, _143337))), hBOOL(hAPP(_143339, _143335)), 2881 ^ _81879 : [(2882 ^ _81879) ^ [] : [-(hBOOL(hAPP(hAPP(c_member(tc_prod(_143331, _143331)), hAPP(hAPP(c_Product__Type_OPair(_143331, _143331), 2879 ^ [_143331, _143333, _143335, _143337, _143339]), 2880 ^ [_143331, _143333, _143335, _143337, _143339])), _143337)))], (2884 ^ _81879) ^ [] : [-(hBOOL(hAPP(hAPP(c_member(tc_prod(_143331, _143331)), hAPP(hAPP(c_Product__Type_OPair(_143331, _143331), 2880 ^ [_143331, _143333, _143335, _143337, _143339]), _143335)), c_Transitive__Closure_Ortrancl(_143331, _143337))))], (2886 ^ _81879) ^ [] : [-(hBOOL(hAPP(_143339, 2880 ^ [_143331, _143333, _143335, _143337, _143339])))], (2888 ^ _81879) ^ [] : [hBOOL(hAPP(_143339, 2879 ^ [_143331, _143333, _143335, _143337, _143339]))]], -(hBOOL(hAPP(_143339, _143333)))], (2892 ^ _81879) ^ [_143911, _143913, _143915, _143917, _143919] : [hBOOL(hAPP(hAPP(_143911, _143913), _143915)), -(c_Predicate_ORangeP(_143917, _143919, _143911, _143915))], (2898 ^ _81879) ^ [_144029, _144031, _144033, _144035] : [c_Predicate_ORangeP(_144029, _144031, _144033, _144035), -(hBOOL(hAPP(hAPP(_144033, 2901 ^ [_144029, _144031, _144033, _144035]), _144035)))], (2905 ^ _81879) ^ [_144136, _144138, _144140, _144142] : [2906 ^ _81879 : [(2907 ^ _81879) ^ [_144186] : [hBOOL(hAPP(hAPP(_144140, _144186), _144142))]], -(c_Predicate_ORangeP(_144136, _144138, _144140, _144142))], (2933 ^ _81879) ^ [_144753, _144755, _144757] : [2935 ^ _81879 : [(2936 ^ _81879) ^ [] : [-(hBOOL(hAPP(hAPP(c_member(_144753), 2934 ^ [_144753, _144755, _144757]), _144755)))], (2939 ^ _81879) ^ [] : [-(hBOOL(hAPP(hAPP(c_member(_144753), 2937 ^ [_144753, _144755, _144757]), _144755)))], (2941 ^ _81879) ^ [] : [2934 ^ [_144753, _144755, _144757] = 2937 ^ [_144753, _144755, _144757]], (2943 ^ _81879) ^ [] : [hBOOL(hAPP(hAPP(c_member(tc_prod(_144753, _144753)), hAPP(hAPP(c_Product__Type_OPair(_144753, _144753), 2934 ^ [_144753, _144755, _144757]), 2937 ^ [_144753, _144755, _144757])), _144757))], (2945 ^ _81879) ^ [] : [hBOOL(hAPP(hAPP(c_member(tc_prod(_144753, _144753)), hAPP(hAPP(c_Product__Type_OPair(_144753, _144753), 2937 ^ [_144753, _144755, _144757]), 2934 ^ [_144753, _144755, _144757])), _144757))]], -(c_Relation_Ototal__on(_144753, _144755, _144757))], (2911 ^ _81879) ^ [_144264, _144266, _144268] : [c_Relation_Ototal__on(_144264, _144266, _144268), 2914 ^ _81879 : [(2915 ^ _81879) ^ [_144408] : [hBOOL(hAPP(hAPP(c_member(_144264), _144408), _144266)), 2918 ^ _81879 : [(2919 ^ _81879) ^ [_144548] : [hBOOL(hAPP(hAPP(c_member(_144264), _144548), _144266)), -(_144408 = _144548), -(hBOOL(hAPP(hAPP(c_member(tc_prod(_144264, _144264)), hAPP(hAPP(c_Product__Type_OPair(_144264, _144264), _144408), _144548)), _144268))), -(hBOOL(hAPP(hAPP(c_member(tc_prod(_144264, _144264)), hAPP(hAPP(c_Product__Type_OPair(_144264, _144264), _144548), _144408)), _144268)))]]]]], (2949 ^ _81879) ^ [_145362, _145364, _145366, _145368, _145370, _145372] : [hBOOL(hAPP(hAPP(c_member(tc_prod(_145362, _145362)), hAPP(hAPP(c_Product__Type_OPair(_145362, _145362), _145364), _145366)), c_Relation_Oinv__image(_145368, _145362, _145370, _145372))), -(hBOOL(hAPP(hAPP(c_member(tc_prod(_145368, _145368)), hAPP(hAPP(c_Product__Type_OPair(_145368, _145368), hAPP(_145372, _145364)), hAPP(_145372, _145366))), _145370)))], (2955 ^ _81879) ^ [_145541, _145543, _145545, _145547, _145549, _145551] : [hBOOL(hAPP(hAPP(c_member(tc_prod(_145547, _145547)), hAPP(hAPP(c_Product__Type_OPair(_145547, _145547), hAPP(_145551, _145543)), hAPP(_145551, _145545))), _145549)), -(hBOOL(hAPP(hAPP(c_member(tc_prod(_145541, _145541)), hAPP(hAPP(c_Product__Type_OPair(_145541, _145541), _145543), _145545)), c_Relation_Oinv__image(_145547, _145541, _145549, _145551))))], (2961 ^ _81879) ^ [_145726, _145728, _145730, _145732, _145734] : [c_Relation_Orefl__on(_145726, _145728, _145730), hBOOL(hAPP(hAPP(c_member(tc_prod(_145726, _145726)), hAPP(hAPP(c_Product__Type_OPair(_145726, _145726), _145732), _145734)), _145730)), -(hBOOL(hAPP(hAPP(c_member(_145726), _145732), _145728)))], (2971 ^ _81879) ^ [_145921, _145923, _145925, _145927, _145929] : [c_Relation_Orefl__on(_145921, _145923, _145925), hBOOL(hAPP(hAPP(c_member(tc_prod(_145921, _145921)), hAPP(hAPP(c_Product__Type_OPair(_145921, _145921), _145927), _145929)), _145925)), -(hBOOL(hAPP(hAPP(c_member(_145921), _145929), _145923)))], (2981 ^ _81879) ^ [_146116, _146118, _146120, _146122] : [c_Relation_Orefl__on(_146116, _146118, _146120), hBOOL(hAPP(hAPP(c_member(_146116), _146122), _146118)), -(hBOOL(hAPP(hAPP(c_member(tc_prod(_146116, _146116)), hAPP(hAPP(c_Product__Type_OPair(_146116, _146116), _146122), _146122)), _146120)))], (2991 ^ _81879) ^ [_146307, _146309, _146311, _146313] : [hBOOL(hAPP(hAPP(c_member(tc_prod(_146307, _146307)), hAPP(hAPP(c_Product__Type_OPair(_146307, _146307), _146309), _146311)), c_Transitive__Closure_Otrancl(_146307, _146313))), -(hBOOL(hAPP(hAPP(c_member(tc_prod(_146307, _146307)), hAPP(hAPP(c_Product__Type_OPair(_146307, _146307), _146309), _146311)), c_Transitive__Closure_Ortrancl(_146307, _146313))))], (2997 ^ _81879) ^ [_146476, _146478, _146480, _146482] : [hBOOL(hAPP(hAPP(c_member(tc_prod(_146476, _146476)), hAPP(hAPP(c_Product__Type_OPair(_146476, _146476), _146478), _146480)), _146482)), -(hBOOL(hAPP(hAPP(c_member(tc_prod(_146476, _146476)), hAPP(hAPP(c_Product__Type_OPair(_146476, _146476), _146478), _146480)), c_Transitive__Closure_Otrancl(_146476, _146482))))], (3003 ^ _81879) ^ [_146639, _146641, _146643] : [hBOOL(hAPP(hAPP(c_member(tc_prod(_146639, _146639)), _146641), _146643)), -(hBOOL(hAPP(hAPP(c_member(tc_prod(_146639, _146639)), _146641), c_Transitive__Closure_Otrancl(_146639, _146643))))], (3009 ^ _81879) ^ [_146764, _146766] : [-(c_Transitive__Closure_Ortrancl(_146764, c_Transitive__Closure_Otrancl(_146764, _146766)) = c_Transitive__Closure_Ortrancl(_146764, _146766))], (3011 ^ _81879) ^ [_146798, _146800] : [-(c_Transitive__Closure_Otrancl(_146798, c_Transitive__Closure_Ortrancl(_146798, _146800)) = c_Transitive__Closure_Ortrancl(_146798, _146800))], (3013 ^ _81879) ^ [_146832, _146834] : [-(c_Relation_ODomain(_146832, _146832, c_Transitive__Closure_Otrancl(_146832, _146834)) = c_Relation_ODomain(_146832, _146832, _146834))], (3015 ^ _81879) ^ [_146868, _146870] : [-(c_Relation_ORange(_146868, _146868, c_Transitive__Closure_Otrancl(_146868, _146870)) = c_Relation_ORange(_146868, _146868, _146870))], (3017 ^ _81879) ^ [_146904, _146906] : [-(c_Relation_Orefl__on(_146904, _146906, c_Relation_OId__on(_146904, _146906)))], (3019 ^ _81879) ^ [_146933, _146935, _146937, _146939, _146941] : [hBOOL(hAPP(hAPP(c_member(tc_prod(_146933, _146933)), hAPP(hAPP(c_Product__Type_OPair(_146933, _146933), _146935), _146937)), c_Transitive__Closure_Otrancl(_146933, _146939))), hBOOL(hAPP(hAPP(c_member(tc_prod(_146933, _146933)), hAPP(hAPP(c_Product__Type_OPair(_146933, _146933), _146937), _146941)), c_Transitive__Closure_Otrancl(_146933, _146939))), -(hBOOL(hAPP(hAPP(c_member(tc_prod(_146933, _146933)), hAPP(hAPP(c_Product__Type_OPair(_146933, _146933), _146935), _146941)), c_Transitive__Closure_Otrancl(_146933, _146939))))], (3029 ^ _81879) ^ [_147206, _147208, _147210, _147212, _147214] : [hBOOL(hAPP(hAPP(c_member(tc_prod(_147206, _147206)), hAPP(hAPP(c_Product__Type_OPair(_147206, _147206), _147208), _147210)), c_Transitive__Closure_Otrancl(_147206, _147212))), hBOOL(hAPP(hAPP(c_member(tc_prod(_147206, _147206)), hAPP(hAPP(c_Product__Type_OPair(_147206, _147206), _147210), _147214)), _147212)), -(hBOOL(hAPP(hAPP(c_member(tc_prod(_147206, _147206)), hAPP(hAPP(c_Product__Type_OPair(_147206, _147206), _147208), _147214)), c_Transitive__Closure_Otrancl(_147206, _147212))))], (3039 ^ _81879) ^ [_147473, _147475, _147477, _147479, _147481] : [hBOOL(hAPP(hAPP(c_member(tc_prod(_147473, _147473)), hAPP(hAPP(c_Product__Type_OPair(_147473, _147473), _147475), _147477)), _147479)), hBOOL(hAPP(hAPP(c_member(tc_prod(_147473, _147473)), hAPP(hAPP(c_Product__Type_OPair(_147473, _147473), _147477), _147481)), c_Transitive__Closure_Otrancl(_147473, _147479))), -(hBOOL(hAPP(hAPP(c_member(tc_prod(_147473, _147473)), hAPP(hAPP(c_Product__Type_OPair(_147473, _147473), _147475), _147481)), c_Transitive__Closure_Otrancl(_147473, _147479))))], (3049 ^ _81879) ^ [_147740, _147742, _147744, _147746, _147748] : [hBOOL(hAPP(hAPP(c_member(tc_prod(_147740, _147740)), hAPP(hAPP(c_Product__Type_OPair(_147740, _147740), _147742), _147744)), _147746)), hBOOL(hAPP(hAPP(c_member(tc_prod(_147740, _147740)), hAPP(hAPP(c_Product__Type_OPair(_147740, _147740), _147744), _147748)), _147746)), -(hBOOL(hAPP(hAPP(c_member(tc_prod(_147740, _147740)), hAPP(hAPP(c_Product__Type_OPair(_147740, _147740), _147742), _147748)), c_Transitive__Closure_Otrancl(_147740, _147746))))], (3059 ^ _81879) ^ [_148001, _148003, _148005, _148007, _148009] : [c_Relation_Orefl__on(_148001, _148003, _148005), c_Relation_Orefl__on(_148001, _148007, _148009), -(c_Relation_Orefl__on(_148001, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_148001, tc_HOL_Obool)), _148003), _148007), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(_148001, _148001), tc_HOL_Obool)), _148005), _148009)))], (3069 ^ _81879) ^ [_148198, _148200, _148202, _148204, _148206] : [hBOOL(hAPP(hAPP(c_member(tc_prod(_148198, _148198)), hAPP(hAPP(c_Product__Type_OPair(_148198, _148198), _148200), _148202)), c_Transitive__Closure_Ortrancl(_148198, _148204))), hBOOL(hAPP(hAPP(c_member(tc_prod(_148198, _148198)), hAPP(hAPP(c_Product__Type_OPair(_148198, _148198), _148202), _148206)), c_Transitive__Closure_Otrancl(_148198, _148204))), -(hBOOL(hAPP(hAPP(c_member(tc_prod(_148198, _148198)), hAPP(hAPP(c_Product__Type_OPair(_148198, _148198), _148200), _148206)), c_Transitive__Closure_Otrancl(_148198, _148204))))], (3079 ^ _81879) ^ [_148471, _148473, _148475, _148477, _148479] : [hBOOL(hAPP(hAPP(c_member(tc_prod(_148471, _148471)), hAPP(hAPP(c_Product__Type_OPair(_148471, _148471), _148473), _148475)), c_Transitive__Closure_Otrancl(_148471, _148477))), hBOOL(hAPP(hAPP(c_member(tc_prod(_148471, _148471)), hAPP(hAPP(c_Product__Type_OPair(_148471, _148471), _148475), _148479)), c_Transitive__Closure_Ortrancl(_148471, _148477))), -(hBOOL(hAPP(hAPP(c_member(tc_prod(_148471, _148471)), hAPP(hAPP(c_Product__Type_OPair(_148471, _148471), _148473), _148479)), c_Transitive__Closure_Otrancl(_148471, _148477))))], (3089 ^ _81879) ^ [_148744, _148746, _148748, _148750, _148752] : [hBOOL(hAPP(hAPP(c_member(tc_prod(_148744, _148744)), hAPP(hAPP(c_Product__Type_OPair(_148744, _148744), _148746), _148748)), c_Transitive__Closure_Ortrancl(_148744, _148750))), hBOOL(hAPP(hAPP(c_member(tc_prod(_148744, _148744)), hAPP(hAPP(c_Product__Type_OPair(_148744, _148744), _148748), _148752)), _148750)), -(hBOOL(hAPP(hAPP(c_member(tc_prod(_148744, _148744)), hAPP(hAPP(c_Product__Type_OPair(_148744, _148744), _148746), _148752)), c_Transitive__Closure_Otrancl(_148744, _148750))))], (3099 ^ _81879) ^ [_149011, _149013, _149015, _149017] : [hBOOL(hAPP(hAPP(c_member(tc_prod(_149011, _149011)), hAPP(hAPP(c_Product__Type_OPair(_149011, _149011), _149013), _149015)), c_Transitive__Closure_Ortrancl(_149011, _149017))), -(_149013 = _149015), 3106 ^ _81879 : [(3107 ^ _81879) ^ [] : [_149013 = _149015], (3109 ^ _81879) ^ [] : [-(hBOOL(hAPP(hAPP(c_member(tc_prod(_149011, _149011)), hAPP(hAPP(c_Product__Type_OPair(_149011, _149011), _149013), _149015)), c_Transitive__Closure_Otrancl(_149011, _149017))))]]], (3111 ^ _81879) ^ [_149273, _149275, _149277, _149279, _149281] : [hBOOL(hAPP(hAPP(c_member(tc_prod(_149273, _149273)), hAPP(hAPP(c_Product__Type_OPair(_149273, _149273), _149275), _149277)), _149279)), hBOOL(hAPP(hAPP(c_member(tc_prod(_149273, _149273)), hAPP(hAPP(c_Product__Type_OPair(_149273, _149273), _149277), _149281)), c_Transitive__Closure_Ortrancl(_149273, _149279))), -(hBOOL(hAPP(hAPP(c_member(tc_prod(_149273, _149273)), hAPP(hAPP(c_Product__Type_OPair(_149273, _149273), _149275), _149281)), c_Transitive__Closure_Otrancl(_149273, _149279))))], (3121 ^ _81879) ^ [_149561, _149563, _149565, _149567] : [hBOOL(hAPP(hAPP(c_member(tc_prod(_149561, _149561)), hAPP(hAPP(c_Product__Type_OPair(_149561, _149561), _149563), _149565)), c_Transitive__Closure_Ortrancl(_149561, _149567))), -(_149563 = _149565), 3128 ^ _81879 : [(3129 ^ _81879) ^ [] : [_149563 = _149565], (3131 ^ _81879) ^ [] : [-(hBOOL(hAPP(hAPP(c_member(tc_prod(_149561, _149561)), hAPP(hAPP(c_Product__Type_OPair(_149561, _149561), _149563), _149565)), c_Transitive__Closure_Otrancl(_149561, _149567))))]]], (3133 ^ _81879) ^ [_149819, _149821, _149823, _149825] : [-(hBOOL(hAPP(hAPP(c_member(tc_prod(_149819, _149819)), hAPP(hAPP(c_Product__Type_OPair(_149819, _149819), _149821), _149823)), c_Transitive__Closure_Ortrancl(_149819, _149825)))), 3134 ^ _81879 : [(3135 ^ _81879) ^ [] : [_149821 = _149823], (3137 ^ _81879) ^ [] : [-(_149821 = _149823), hBOOL(hAPP(hAPP(c_member(tc_prod(_149819, _149819)), hAPP(hAPP(c_Product__Type_OPair(_149819, _149819), _149821), _149823)), c_Transitive__Closure_Otrancl(_149819, _149825)))]]], (3145 ^ _81879) ^ [_150085, _150087, _150089, _150091] : [hBOOL(hAPP(hAPP(c_member(tc_prod(_150085, _150085)), hAPP(hAPP(c_Product__Type_OPair(_150085, _150085), _150087), _150089)), c_Transitive__Closure_Otrancl(_150085, _150091))), 3149 ^ _81879 : [(3150 ^ _81879) ^ [] : [-(hBOOL(hAPP(hAPP(c_member(tc_prod(_150085, _150085)), hAPP(hAPP(c_Product__Type_OPair(_150085, _150085), _150087), 3148 ^ [_150085, _150087, _150089, _150091])), c_Transitive__Closure_Ortrancl(_150085, _150091))))], (3152 ^ _81879) ^ [] : [-(hBOOL(hAPP(hAPP(c_member(tc_prod(_150085, _150085)), hAPP(hAPP(c_Product__Type_OPair(_150085, _150085), 3148 ^ [_150085, _150087, _150089, _150091]), _150089)), _150091)))]]], (3154 ^ _81879) ^ [_150345, _150347, _150349, _150351] : [hBOOL(hAPP(hAPP(c_member(tc_prod(_150345, _150345)), hAPP(hAPP(c_Product__Type_OPair(_150345, _150345), _150347), _150349)), c_Transitive__Closure_Otrancl(_150345, _150351))), 3158 ^ _81879 : [(3159 ^ _81879) ^ [] : [-(hBOOL(hAPP(hAPP(c_member(tc_prod(_150345, _150345)), hAPP(hAPP(c_Product__Type_OPair(_150345, _150345), _150347), 3157 ^ [_150345, _150347, _150349, _150351])), _150351)))], (3161 ^ _81879) ^ [] : [-(hBOOL(hAPP(hAPP(c_member(tc_prod(_150345, _150345)), hAPP(hAPP(c_Product__Type_OPair(_150345, _150345), 3157 ^ [_150345, _150347, _150349, _150351]), _150349)), c_Transitive__Closure_Ortrancl(_150345, _150351))))]]], (3163 ^ _81879) ^ [_150620, _150622] : [c_Wellfounded_Oacyclic(_150620, _150622), 3166 ^ _81879 : [(3167 ^ _81879) ^ [_150705] : [hBOOL(hAPP(hAPP(c_member(tc_prod(_150620, _150620)), hAPP(hAPP(c_Product__Type_OPair(_150620, _150620), _150705), _150705)), c_Transitive__Closure_Otrancl(_150620, _150622)))]]], (3169 ^ _81879) ^ [_150748, _150750] : [-(hBOOL(hAPP(hAPP(c_member(tc_prod(_150748, _150748)), hAPP(hAPP(c_Product__Type_OPair(_150748, _150748), 3170 ^ [_150748, _150750]), 3170 ^ [_150748, _150750])), c_Transitive__Closure_Otrancl(_150748, _150750)))), -(c_Wellfounded_Oacyclic(_150748, _150750))], (3176 ^ _81879) ^ [_150822, _150824, _150826, _150828] : [hBOOL(hAPP(hAPP(c_member(tc_prod(_150822, _150822)), hAPP(hAPP(c_Product__Type_OPair(_150822, _150822), _150824), _150826)), c_Transitive__Closure_Otrancl(_150822, _150828))), -(hBOOL(hAPP(hAPP(c_member(tc_prod(_150822, _150822)), hAPP(hAPP(c_Product__Type_OPair(_150822, _150822), _150824), _150826)), _150828))), 3184 ^ _81879 : [(3185 ^ _81879) ^ [] : [-(hBOOL(hAPP(hAPP(c_member(tc_prod(_150822, _150822)), hAPP(hAPP(c_Product__Type_OPair(_150822, _150822), _150824), 3183 ^ [_150822, _150824, _150826, _150828])), c_Transitive__Closure_Otrancl(_150822, _150828))))], (3187 ^ _81879) ^ [] : [-(hBOOL(hAPP(hAPP(c_member(tc_prod(_150822, _150822)), hAPP(hAPP(c_Product__Type_OPair(_150822, _150822), 3183 ^ [_150822, _150824, _150826, _150828]), _150826)), _150828)))]]], (3189 ^ _81879) ^ [_151156, _151158, _151160, _151162] : [hBOOL(hAPP(hAPP(c_member(tc_prod(_151156, _151156)), hAPP(hAPP(c_Product__Type_OPair(_151156, _151156), _151158), _151160)), c_Transitive__Closure_Otrancl(_151156, _151162))), -(hBOOL(hAPP(hAPP(c_member(tc_prod(_151156, _151156)), hAPP(hAPP(c_Product__Type_OPair(_151156, _151156), _151158), _151160)), _151162))), 3197 ^ _81879 : [(3198 ^ _81879) ^ [] : [-(hBOOL(hAPP(hAPP(c_member(tc_prod(_151156, _151156)), hAPP(hAPP(c_Product__Type_OPair(_151156, _151156), _151158), 3196 ^ [_151156, _151158, _151160, _151162])), _151162)))], (3200 ^ _81879) ^ [] : [-(hBOOL(hAPP(hAPP(c_member(tc_prod(_151156, _151156)), hAPP(hAPP(c_Product__Type_OPair(_151156, _151156), 3196 ^ [_151156, _151158, _151160, _151162]), _151160)), c_Transitive__Closure_Otrancl(_151156, _151162))))]]], (3202 ^ _81879) ^ [_151486, _151488] : [-(hBOOL(hAPP(hAPP(c_member(tc_prod(_151486, _151486)), hAPP(hAPP(c_Product__Type_OPair(_151486, _151486), 3203 ^ [_151486, _151488]), 3203 ^ [_151486, _151488])), c_Transitive__Closure_Otrancl(_151486, _151488)))), -(c_Wellfounded_Oacyclic(_151486, _151488))], (3209 ^ _81879) ^ [_151579, _151581, _151583, _151585] : [c_Wellfounded_Oacyclic(_151579, c_Set_Oinsert(tc_prod(_151579, _151579), hAPP(hAPP(c_Product__Type_OPair(_151579, _151579), _151581), _151583), _151585)), 3212 ^ _81879 : [(3213 ^ _81879) ^ [] : [-(c_Wellfounded_Oacyclic(_151579, _151585))], (3215 ^ _81879) ^ [] : [hBOOL(hAPP(hAPP(c_member(tc_prod(_151579, _151579)), hAPP(hAPP(c_Product__Type_OPair(_151579, _151579), _151583), _151581)), c_Transitive__Closure_Ortrancl(_151579, _151585)))]]], (3217 ^ _81879) ^ [_151766, _151768, _151770, _151772] : [-(c_Wellfounded_Oacyclic(_151766, c_Set_Oinsert(tc_prod(_151766, _151766), hAPP(hAPP(c_Product__Type_OPair(_151766, _151766), _151768), _151770), _151772))), c_Wellfounded_Oacyclic(_151766, _151772), -(hBOOL(hAPP(hAPP(c_member(tc_prod(_151766, _151766)), hAPP(hAPP(c_Product__Type_OPair(_151766, _151766), _151770), _151768)), c_Transitive__Closure_Ortrancl(_151766, _151772))))], (3227 ^ _81879) ^ [_151983, _151985, _151987, _151989] : [-(hBOOL(hAPP(hAPP(c_member(tc_prod(_151983, _151983)), hAPP(hAPP(c_Product__Type_OPair(_151983, _151983), 3228 ^ [_151983, _151985, _151987, _151989]), 3228 ^ [_151983, _151985, _151987, _151989])), c_Transitive__Closure_Otrancl(_151983, _151985)))), hBOOL(hAPP(hAPP(c_member(tc_prod(_151983, _151983)), hAPP(hAPP(c_Product__Type_OPair(_151983, _151983), _151987), _151989)), _151985)), _151987 = _151989], (3238 ^ _81879) ^ [_152222, _152224, _152226, _152228] : [hBOOL(hAPP(hAPP(c_Transitive__Closure_Otranclp(_152222, hAPP(hAPP(c_COMBC(_152222, tc_fun(tc_prod(_152222, _152222), tc_HOL_Obool), tc_fun(_152222, tc_HOL_Obool)), hAPP(c_COMBB(tc_fun(_152222, tc_fun(tc_fun(tc_prod(_152222, _152222), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_152222, _152222), tc_HOL_Obool), tc_fun(_152222, tc_HOL_Obool)), _152222, c_COMBC(_152222, tc_fun(tc_prod(_152222, _152222), tc_HOL_Obool), tc_HOL_Obool)), hAPP(c_COMBB(tc_fun(_152222, tc_prod(_152222, _152222)), tc_fun(_152222, tc_fun(tc_fun(tc_prod(_152222, _152222), tc_HOL_Obool), tc_HOL_Obool)), _152222, c_COMBB(tc_prod(_152222, _152222), tc_fun(tc_fun(tc_prod(_152222, _152222), tc_HOL_Obool), tc_HOL_Obool), _152222, c_member(tc_prod(_152222, _152222)))), c_Product__Type_OPair(_152222, _152222)))), _152224)), _152226), _152228)), -(hBOOL(hAPP(hAPP(c_member(tc_prod(_152222, _152222)), hAPP(hAPP(c_Product__Type_OPair(_152222, _152222), _152226), _152228)), c_Transitive__Closure_Otrancl(_152222, _152224))))], (3244 ^ _81879) ^ [_152583, _152585, _152587, _152589] : [hBOOL(hAPP(hAPP(c_member(tc_prod(_152583, _152583)), hAPP(hAPP(c_Product__Type_OPair(_152583, _152583), _152587), _152589)), c_Transitive__Closure_Otrancl(_152583, _152585))), -(hBOOL(hAPP(hAPP(c_Transitive__Closure_Otranclp(_152583, hAPP(hAPP(c_COMBC(_152583, tc_fun(tc_prod(_152583, _152583), tc_HOL_Obool), tc_fun(_152583, tc_HOL_Obool)), hAPP(c_COMBB(tc_fun(_152583, tc_fun(tc_fun(tc_prod(_152583, _152583), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_152583, _152583), tc_HOL_Obool), tc_fun(_152583, tc_HOL_Obool)), _152583, c_COMBC(_152583, tc_fun(tc_prod(_152583, _152583), tc_HOL_Obool), tc_HOL_Obool)), hAPP(c_COMBB(tc_fun(_152583, tc_prod(_152583, _152583)), tc_fun(_152583, tc_fun(tc_fun(tc_prod(_152583, _152583), tc_HOL_Obool), tc_HOL_Obool)), _152583, c_COMBB(tc_prod(_152583, _152583), tc_fun(tc_fun(tc_prod(_152583, _152583), tc_HOL_Obool), tc_HOL_Obool), _152583, c_member(tc_prod(_152583, _152583)))), c_Product__Type_OPair(_152583, _152583)))), _152585)), _152587), _152589)))], (3250 ^ _81879) ^ [_152950, _152952] : [c_Wellfounded_Oacyclic(_152950, _152952), -(c_Relation_Oantisym(_152950, c_Transitive__Closure_Ortrancl(_152950, _152952)))], (3256 ^ _81879) ^ [_153033, _153035, _153037, _153039] : [hBOOL(hAPP(hAPP(_153033, _153035), _153037)), -(hBOOL(hAPP(hAPP(c_Transitive__Closure_Otranclp(_153039, _153033), _153035), _153037)))], (3262 ^ _81879) ^ [_153140, _153142, _153144, _153146] : [3263 ^ _81879 : [(3264 ^ _81879) ^ [] : [hBOOL(hAPP(hAPP(c_member(_153140), _153142), _153144))], (3266 ^ _81879) ^ [] : [_153142 = _153146]], -(hBOOL(hAPP(hAPP(c_member(_153140), _153142), c_Set_Oinsert(_153140, _153146, _153144))))], (3270 ^ _81879) ^ [_153297, _153299, _153301, _153303] : [hBOOL(hAPP(hAPP(c_member(_153297), _153299), c_Set_Oinsert(_153297, _153301, _153303))), -(_153299 = _153301), -(hBOOL(hAPP(hAPP(c_member(_153297), _153299), _153303)))], (3280 ^ _81879) ^ [_153429, _153431, _153433] : [-(hBOOL(hAPP(hAPP(c_member(_153429), _153431), c_Set_Oinsert(_153429, _153431, _153433))))], (3292 ^ _81879) ^ [_153614, _153616, _153618, _153620] : [3293 ^ _81879 : [(3294 ^ _81879) ^ [] : [_153616 = _153618], (3296 ^ _81879) ^ [] : [hBOOL(hAPP(hAPP(c_member(_153614), _153616), _153620))]], -(hBOOL(hAPP(hAPP(c_member(_153614), _153616), c_Set_Oinsert(_153614, _153618, _153620))))], (3282 ^ _81879) ^ [_153488, _153490, _153492, _153494] : [hBOOL(hAPP(hAPP(c_member(_153488), _153490), c_Set_Oinsert(_153488, _153492, _153494))), -(_153490 = _153492), -(hBOOL(hAPP(hAPP(c_member(_153488), _153490), _153494)))], (3300 ^ _81879) ^ [_153770, _153772, _153774, _153776] : [-(hBOOL(hAPP(hAPP(c_member(_153770), _153772), _153774))), -(hBOOL(hAPP(hAPP(c_member(_153770), _153772), _153776))), 3307 ^ _81879 : [(3308 ^ _81879) ^ [] : [c_Set_Oinsert(_153770, _153772, _153774) = c_Set_Oinsert(_153770, _153772, _153776), -(_153774 = _153776)], (3314 ^ _81879) ^ [] : [_153774 = _153776, -(c_Set_Oinsert(_153770, _153772, _153774) = c_Set_Oinsert(_153770, _153772, _153776))]]], (3320 ^ _81879) ^ [_154091, _154093, _154095, _154097] : [hBOOL(hAPP(hAPP(c_member(_154091), _154093), _154095)), -(hBOOL(hAPP(hAPP(c_member(_154091), _154093), c_Set_Oinsert(_154091, _154097, _154095))))], (3326 ^ _81879) ^ [_154208, _154210, _154212] : [hBOOL(hAPP(hAPP(c_member(_154208), _154210), _154212)), -(c_Set_Oinsert(_154208, _154210, _154212) = _154212)], (3332 ^ _81879) ^ [_154309, _154311, _154313, _154315] : [-(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_154309, tc_HOL_Obool)), c_Set_Oinsert(_154309, _154311, _154313)), c_Set_Oinsert(_154309, _154311, _154315)) = c_Set_Oinsert(_154309, _154311, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_154309, tc_HOL_Obool)), _154313), _154315)))], (3334 ^ _81879) ^ [_154372, _154374, _154376, _154378, _154380] : [-(c_Relation_ODomain(_154372, _154374, c_Set_Oinsert(tc_prod(_154372, _154374), hAPP(hAPP(c_Product__Type_OPair(_154372, _154374), _154376), _154378), _154380)) = c_Set_Oinsert(_154372, _154376, c_Relation_ODomain(_154372, _154374, _154380)))], (3336 ^ _81879) ^ [_154431, _154433, _154435, _154437, _154439] : [-(c_Relation_ORange(_154431, _154433, c_Set_Oinsert(tc_prod(_154431, _154433), hAPP(hAPP(c_Product__Type_OPair(_154431, _154433), _154435), _154437), _154439)) = c_Set_Oinsert(_154433, _154437, c_Relation_ORange(_154431, _154433, _154439)))], (3338 ^ _81879) ^ [_154490, _154492, _154494, _154496, _154498] : [hBOOL(hAPP(hAPP(c_Transitive__Closure_Otranclp(_154490, _154492), _154494), _154496)), hBOOL(hAPP(hAPP(c_Transitive__Closure_Otranclp(_154490, _154492), _154496), _154498)), -(hBOOL(hAPP(hAPP(c_Transitive__Closure_Otranclp(_154490, _154492), _154494), _154498)))], (3348 ^ _81879) ^ [_154679, _154681, _154683, _154685, _154687] : [hBOOL(hAPP(hAPP(c_Transitive__Closure_Otranclp(_154679, _154681), _154683), _154685)), hBOOL(hAPP(hAPP(_154681, _154685), _154687)), -(hBOOL(hAPP(hAPP(c_Transitive__Closure_Otranclp(_154679, _154681), _154683), _154687)))], (3358 ^ _81879) ^ [_154862, _154864, _154866, _154868, _154870] : [hBOOL(hAPP(hAPP(_154862, _154864), _154866)), hBOOL(hAPP(hAPP(c_Transitive__Closure_Otranclp(_154868, _154862), _154866), _154870)), -(hBOOL(hAPP(hAPP(c_Transitive__Closure_Otranclp(_154868, _154862), _154864), _154870)))], (3368 ^ _81879) ^ [_155066, _155068, _155070, _155072] : [hBOOL(hAPP(hAPP(c_Transitive__Closure_Otranclp(_155066, _155068), _155070), _155072)), -(hBOOL(hAPP(hAPP(_155068, _155070), _155072))), 3376 ^ _81879 : [(3377 ^ _81879) ^ [] : [-(hBOOL(hAPP(hAPP(c_Transitive__Closure_Otranclp(_155066, _155068), _155070), 3375 ^ [_155066, _155068, _155070, _155072])))], (3379 ^ _81879) ^ [] : [-(hBOOL(hAPP(hAPP(_155068, 3375 ^ [_155066, _155068, _155070, _155072]), _155072)))]]], (3381 ^ _81879) ^ [_155278, _155280, _155282, _155284] : [-(hBOOL(hAPP(hAPP(c_Transitive__Closure_Otranclp(_155278, _155280), _155282), _155284))), 3382 ^ _81879 : [(3383 ^ _81879) ^ [] : [hBOOL(hAPP(hAPP(_155280, _155282), _155284))], (3385 ^ _81879) ^ [_155385] : [hBOOL(hAPP(hAPP(c_Transitive__Closure_Otranclp(_155278, _155280), _155282), _155385)), hBOOL(hAPP(hAPP(_155280, _155385), _155284))]]], (3393 ^ _81879) ^ [_155554, _155556, _155558, _155560] : [hBOOL(hAPP(hAPP(c_Transitive__Closure_Otranclp(_155554, _155556), _155558), _155560)), -(hBOOL(hAPP(hAPP(_155556, _155558), _155560))), 3401 ^ _81879 : [(3402 ^ _81879) ^ [] : [-(hBOOL(hAPP(hAPP(c_Transitive__Closure_Otranclp(_155554, _155556), _155558), 3400 ^ [_155554, _155556, _155558, _155560])))], (3404 ^ _81879) ^ [] : [-(hBOOL(hAPP(hAPP(_155556, 3400 ^ [_155554, _155556, _155558, _155560]), _155560)))]]], (3406 ^ _81879) ^ [_155766, _155768, _155770, _155772] : [-(hBOOL(hAPP(hAPP(c_Transitive__Closure_Otranclp(_155766, _155768), _155770), _155772))), 3407 ^ _81879 : [(3408 ^ _81879) ^ [] : [hBOOL(hAPP(hAPP(_155768, _155770), _155772))], (3410 ^ _81879) ^ [_155873] : [hBOOL(hAPP(hAPP(c_Transitive__Closure_Otranclp(_155766, _155768), _155770), _155873)), hBOOL(hAPP(hAPP(_155768, _155873), _155772))]]], (3428 ^ _81879) ^ [_156148, _156150, _156152, _156154] : [3429 ^ _81879 : [(3430 ^ _81879) ^ [] : [_156150 = _156154], (3432 ^ _81879) ^ [] : [hBOOL(hAPP(_156152, _156154))]], -(hBOOL(hAPP(c_Set_Oinsert(_156148, _156150, _156152), _156154)))], (3418 ^ _81879) ^ [_156042, _156044, _156046, _156048] : [hBOOL(hAPP(c_Set_Oinsert(_156042, _156044, _156046), _156048)), -(_156044 = _156048), -(hBOOL(hAPP(_156046, _156048)))], (3436 ^ _81879) ^ [_156285, _156287, _156289, _156291] : [-(c_Set_Oinsert(_156285, _156287, c_Set_Oinsert(_156285, _156289, _156291)) = c_Set_Oinsert(_156285, _156289, c_Set_Oinsert(_156285, _156287, _156291)))], (3438 ^ _81879) ^ [_156330, _156332, _156334] : [-(c_Set_Oinsert(_156330, _156332, c_Set_Oinsert(_156330, _156332, _156334)) = c_Set_Oinsert(_156330, _156332, _156334))], (3440 ^ _81879) ^ [_156369, _156371, _156373, _156375] : [hBOOL(hAPP(hAPP(c_member(_156369), _156371), _156373)), -(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_156369, tc_HOL_Obool)), c_Set_Oinsert(_156369, _156371, _156375)), _156373) = c_Set_Oinsert(_156369, _156371, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_156369, tc_HOL_Obool)), _156375), _156373)))], (3446 ^ _81879) ^ [_156524, _156526, _156528, _156530] : [hBOOL(hAPP(hAPP(c_member(_156524), _156526), _156528)), -(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_156524, tc_HOL_Obool)), _156528), c_Set_Oinsert(_156524, _156526, _156530)) = c_Set_Oinsert(_156524, _156526, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_156524, tc_HOL_Obool)), _156528), _156530)))], (3452 ^ _81879) ^ [_156675, _156677, _156679, _156681] : [-(hBOOL(hAPP(hAPP(c_member(_156675), _156677), _156679))), -(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_156675, tc_HOL_Obool)), c_Set_Oinsert(_156675, _156677, _156681)), _156679) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_156675, tc_HOL_Obool)), _156681), _156679))], (3458 ^ _81879) ^ [_156744, _156746, _156748, _156750] : [-(hBOOL(hAPP(hAPP(c_member(_156744), _156746), _156748))), -(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_156744, tc_HOL_Obool)), _156748), c_Set_Oinsert(_156744, _156746, _156750)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_156744, tc_HOL_Obool)), _156748), _156750))], (3464 ^ _81879) ^ [_156832, _156834, _156836, _156838] : [hBOOL(hAPP(hAPP(c_member(_156832), _156834), _156836)), -(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_156832, tc_HOL_Obool)), c_Set_Oinsert(_156832, _156834, _156838)), _156836) = c_Set_Oinsert(_156832, _156834, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_156832, tc_HOL_Obool)), _156838), _156836)))], (3470 ^ _81879) ^ [_156981, _156983, _156985, _156987] : [-(hBOOL(hAPP(hAPP(c_member(_156981), _156983), _156985))), -(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_156981, tc_HOL_Obool)), c_Set_Oinsert(_156981, _156983, _156987)), _156985) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_156981, tc_HOL_Obool)), _156987), _156985))], (3476 ^ _81879) ^ [_157071, _157073, _157075, _157077] : [hBOOL(hAPP(hAPP(c_member(_157071), _157073), _157075)), -(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_157071, tc_HOL_Obool)), _157075), c_Set_Oinsert(_157071, _157073, _157077)) = c_Set_Oinsert(_157071, _157073, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_157071, tc_HOL_Obool)), _157075), _157077)))], (3482 ^ _81879) ^ [_157220, _157222, _157224, _157226] : [-(hBOOL(hAPP(hAPP(c_member(_157220), _157222), _157224))), -(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_157220, tc_HOL_Obool)), _157224), c_Set_Oinsert(_157220, _157222, _157226)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_157220, tc_HOL_Obool)), _157224), _157226))], (3488 ^ _81879) ^ [_157295, _157297] : [-(c_Relation_Oantisym(_157295, c_Relation_OId__on(_157295, _157297)))], (3490 ^ _81879) ^ [_157323, _157325, _157327, _157329] : [c_Relation_Oantisym(_157323, _157325), hBOOL(hAPP(hAPP(c_member(tc_prod(_157323, _157323)), hAPP(hAPP(c_Product__Type_OPair(_157323, _157323), _157327), _157329)), _157325)), hBOOL(hAPP(hAPP(c_member(tc_prod(_157323, _157323)), hAPP(hAPP(c_Product__Type_OPair(_157323, _157323), _157329), _157327)), _157325)), -(_157327 = _157329)], (3518 ^ _81879) ^ [_157932, _157934] : [3521 ^ _81879 : [(3522 ^ _81879) ^ [] : [-(hBOOL(hAPP(hAPP(c_member(tc_prod(_157932, _157932)), hAPP(hAPP(c_Product__Type_OPair(_157932, _157932), 3519 ^ [_157932, _157934]), 3520 ^ [_157932, _157934])), _157934)))], (3524 ^ _81879) ^ [] : [-(hBOOL(hAPP(hAPP(c_member(tc_prod(_157932, _157932)), hAPP(hAPP(c_Product__Type_OPair(_157932, _157932), 3520 ^ [_157932, _157934]), 3519 ^ [_157932, _157934])), _157934)))], (3526 ^ _81879) ^ [] : [3519 ^ [_157932, _157934] = 3520 ^ [_157932, _157934]]], -(c_Relation_Oantisym(_157932, _157934))], (3504 ^ _81879) ^ [_157607, _157609] : [c_Relation_Oantisym(_157607, _157609), 3507 ^ _81879 : [(3508 ^ _81879) ^ [_157719, _157721] : [hBOOL(hAPP(hAPP(c_member(tc_prod(_157607, _157607)), hAPP(hAPP(c_Product__Type_OPair(_157607, _157607), _157721), _157719)), _157609)), hBOOL(hAPP(hAPP(c_member(tc_prod(_157607, _157607)), hAPP(hAPP(c_Product__Type_OPair(_157607, _157607), _157719), _157721)), _157609)), -(_157721 = _157719)]]], (3530 ^ _81879) ^ [_158252, _158254, _158256, _158258, _158260, _158262] : [-(hBOOL(hAPP(hAPP(c_member(_158252), _158254), _158256))), hBOOL(hAPP(hAPP(c_member(tc_fun(_158252, _158258)), _158260), c_FuncSet_Oextensional__funcset(_158252, _158258, c_Set_Oinsert(_158252, _158254, _158256), _158262))), -(hBOOL(hAPP(hAPP(c_member(tc_fun(_158252, _158258)), c_Fun_Ofun__upd(_158252, _158258, _158260, _158254, c_HOL_Oundefined(_158258))), c_FuncSet_Oextensional__funcset(_158252, _158258, _158256, _158262))))], (3540 ^ _81879) ^ [_158486, _158488, _158490, _158492, _158494, _158496, _158498] : [hBOOL(hAPP(hAPP(c_member(_158486), _158488), _158490)), hBOOL(hAPP(hAPP(c_member(tc_fun(_158492, _158486)), _158494), c_FuncSet_Oextensional__funcset(_158492, _158486, _158496, _158490))), -(hBOOL(hAPP(hAPP(c_member(tc_fun(_158492, _158486)), c_Fun_Ofun__upd(_158492, _158486, _158494, _158498, _158488)), c_FuncSet_Oextensional__funcset(_158492, _158486, c_Set_Oinsert(_158492, _158498, _158496), _158490))))], (3550 ^ _81879) ^ [_158750, _158752, _158754, _158756] : [c_Wellfounded_Owf(_158750, c_Set_Oinsert(tc_prod(_158750, _158750), hAPP(hAPP(c_Product__Type_OPair(_158750, _158750), _158752), _158754), _158756)), 3553 ^ _81879 : [(3554 ^ _81879) ^ [] : [-(c_Wellfounded_Owf(_158750, _158756))], (3556 ^ _81879) ^ [] : [hBOOL(hAPP(hAPP(c_member(tc_prod(_158750, _158750)), hAPP(hAPP(c_Product__Type_OPair(_158750, _158750), _158754), _158752)), c_Transitive__Closure_Ortrancl(_158750, _158756)))]]], (3558 ^ _81879) ^ [_158937, _158939, _158941, _158943] : [-(c_Wellfounded_Owf(_158937, c_Set_Oinsert(tc_prod(_158937, _158937), hAPP(hAPP(c_Product__Type_OPair(_158937, _158937), _158939), _158941), _158943))), c_Wellfounded_Owf(_158937, _158943), -(hBOOL(hAPP(hAPP(c_member(tc_prod(_158937, _158937)), hAPP(hAPP(c_Product__Type_OPair(_158937, _158937), _158941), _158939)), c_Transitive__Closure_Ortrancl(_158937, _158943))))], (3568 ^ _81879) ^ [_159155, _159157] : [3571 ^ _81879 : [(3572 ^ _81879) ^ [] : [-(hBOOL(hAPP(hAPP(c_member(tc_prod(_159155, _159155)), hAPP(hAPP(c_Product__Type_OPair(_159155, _159155), 3569 ^ [_159155, _159157]), 3570 ^ [_159155, _159157])), _159157)))], (3574 ^ _81879) ^ [] : [-(hBOOL(hAPP(hAPP(c_member(tc_prod(_159155, _159155)), hAPP(hAPP(c_Product__Type_OPair(_159155, _159155), 3570 ^ [_159155, _159157]), 3569 ^ [_159155, _159157])), _159157)))], (3576 ^ _81879) ^ [] : [3569 ^ [_159155, _159157] = 3570 ^ [_159155, _159157]]], -(c_Relation_Oantisym(_159155, _159157))], (3580 ^ _81879) ^ [_159474, _159476, _159478, _159480] : [-(c_Orderings_Oord__class_Oless__eq(tc_fun(_159474, tc_HOL_Obool), c_Relation_ORange(_159476, _159474, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(_159476, _159474), tc_HOL_Obool)), _159478), _159480)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_159474, tc_HOL_Obool)), c_Relation_ORange(_159476, _159474, _159478)), c_Relation_ORange(_159476, _159474, _159480))))], (3582 ^ _81879) ^ [_159544, _159546, _159548] : [c_Orderings_Oord__class_Oless__eq(tc_fun(_159544, tc_HOL_Obool), _159546, _159548), c_Orderings_Oord__class_Oless__eq(tc_fun(_159544, tc_HOL_Obool), _159548, _159546), -(_159546 = _159548)], (3592 ^ _81879) ^ [_159693, _159695, _159697, _159699] : [c_Orderings_Oord__class_Oless__eq(tc_fun(_159693, tc_HOL_Obool), _159695, _159697), hBOOL(hAPP(hAPP(c_member(_159693), _159699), _159695)), -(hBOOL(hAPP(hAPP(c_member(_159693), _159699), _159697)))], (3602 ^ _81879) ^ [_159866, _159868, _159870, _159872] : [c_Wellfounded_Owf(_159866, _159868), -(c_Wellfounded_Owf(_159870, c_Relation_Oinv__image(_159866, _159870, _159868, _159872)))], (3608 ^ _81879) ^ [_159957, _159959, _159961, _159963] : [c_Wellfounded_Owf(_159957, _159959), c_Wellfounded_Owf(_159961, _159963), -(c_Wellfounded_Owf(tc_prod(_159957, _159961), c_Wellfounded_Olex__prod(_159957, _159961, _159959, _159963)))], (3618 ^ _81879) ^ [_160110, _160112, _160114, _160116] : [c_Orderings_Oord__class_Oless__eq(tc_fun(_160110, tc_HOL_Obool), _160112, _160114), -(c_Orderings_Oord__class_Oless__eq(tc_fun(_160110, tc_HOL_Obool), c_Set_Oinsert(_160110, _160116, _160112), c_Set_Oinsert(_160110, _160116, _160114)))], (3624 ^ _81879) ^ [_160223, _160225, _160227, _160229] : [c_Orderings_Oord__class_Oless__eq(tc_fun(_160223, tc_HOL_Obool), _160225, _160227), -(c_Orderings_Oord__class_Oless__eq(tc_fun(_160223, tc_HOL_Obool), _160225, c_Set_Oinsert(_160223, _160229, _160227)))], (3630 ^ _81879) ^ [_160328, _160330, _160332] : [-(c_Orderings_Oord__class_Oless__eq(tc_fun(_160328, tc_HOL_Obool), _160330, c_Set_Oinsert(_160328, _160332, _160330)))], (3632 ^ _81879) ^ [_160363, _160365, _160367, _160369, _160371] : [c_Orderings_Oord__class_Oless__eq(tc_fun(_160363, tc_HOL_Obool), _160365, _160367), c_Orderings_Oord__class_Oless__eq(tc_fun(_160363, tc_HOL_Obool), _160369, _160371), -(c_Orderings_Oord__class_Oless__eq(tc_fun(_160363, tc_HOL_Obool), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_160363, tc_HOL_Obool)), _160365), _160369), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_160363, tc_HOL_Obool)), _160367), _160371)))], (3642 ^ _81879) ^ [_160572, _160574, _160576, _160578] : [c_Orderings_Oord__class_Oless__eq(tc_fun(_160572, tc_HOL_Obool), _160574, _160576), c_Orderings_Oord__class_Oless__eq(tc_fun(_160572, tc_HOL_Obool), _160574, _160578), -(c_Orderings_Oord__class_Oless__eq(tc_fun(_160572, tc_HOL_Obool), _160574, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_160572, tc_HOL_Obool)), _160576), _160578)))], (3652 ^ _81879) ^ [_160755, _160757, _160759] : [c_Orderings_Oord__class_Oless__eq(tc_fun(_160755, tc_HOL_Obool), _160757, _160759), -(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_160755, tc_HOL_Obool)), _160759), _160757) = _160757)], (3658 ^ _81879) ^ [_160864, _160866, _160868] : [c_Orderings_Oord__class_Oless__eq(tc_fun(_160864, tc_HOL_Obool), _160866, _160868), -(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_160864, tc_HOL_Obool)), _160866), _160868) = _160866)], (3664 ^ _81879) ^ [_160973, _160975, _160977] : [-(c_Orderings_Oord__class_Oless__eq(tc_fun(_160973, tc_HOL_Obool), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_160973, tc_HOL_Obool)), _160975), _160977), _160977))], (3666 ^ _81879) ^ [_161015, _161017, _161019] : [-(c_Orderings_Oord__class_Oless__eq(tc_fun(_161015, tc_HOL_Obool), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_161015, tc_HOL_Obool)), _161017), _161019), _161017))], (3668 ^ _81879) ^ [_161057, _161059, _161061, _161063] : [hBOOL(hAPP(_161057, _161059)), c_Orderings_Oord__class_Oless__eq(tc_fun(_161061, tc_HOL_Obool), _161057, _161063), -(hBOOL(hAPP(_161063, _161059)))], (3678 ^ _81879) ^ [_161210, _161212, _161214, _161216] : [c_Orderings_Oord__class_Oless__eq(tc_fun(_161210, tc_HOL_Obool), _161212, _161214), hBOOL(hAPP(_161212, _161216)), -(hBOOL(hAPP(_161214, _161216)))], (3688 ^ _81879) ^ [_161363, _161365] : [-(c_Orderings_Oord__class_Oless__eq(tc_fun(_161363, tc_HOL_Obool), _161365, _161365))], (3690 ^ _81879) ^ [_161410, _161412, _161414] : [_161410 = _161412, 3693 ^ _81879 : [(3694 ^ _81879) ^ [] : [-(c_Orderings_Oord__class_Oless__eq(tc_fun(_161414, tc_HOL_Obool), _161410, _161412))], (3696 ^ _81879) ^ [] : [-(c_Orderings_Oord__class_Oless__eq(tc_fun(_161414, tc_HOL_Obool), _161412, _161410))]]], (3698 ^ _81879) ^ [_161527, _161529, _161531] : [-(_161527 = _161529), c_Orderings_Oord__class_Oless__eq(tc_fun(_161531, tc_HOL_Obool), _161527, _161529), c_Orderings_Oord__class_Oless__eq(tc_fun(_161531, tc_HOL_Obool), _161529, _161527)], (3708 ^ _81879) ^ [_161678, _161680, _161682] : [_161678 = _161680, -(c_Orderings_Oord__class_Oless__eq(tc_fun(_161682, tc_HOL_Obool), _161678, _161680))], (3714 ^ _81879) ^ [_161765, _161767, _161769] : [_161765 = _161767, -(c_Orderings_Oord__class_Oless__eq(tc_fun(_161769, tc_HOL_Obool), _161767, _161765))], (3720 ^ _81879) ^ [_161852, _161854, _161856, _161858] : [c_Orderings_Oord__class_Oless__eq(tc_fun(_161852, tc_HOL_Obool), _161854, _161856), c_Orderings_Oord__class_Oless__eq(tc_fun(_161852, tc_HOL_Obool), _161856, _161858), -(c_Orderings_Oord__class_Oless__eq(tc_fun(_161852, tc_HOL_Obool), _161854, _161858))], (3730 ^ _81879) ^ [_162013, _162015, _162017] : [_162013 = _162015, 3733 ^ _81879 : [(3734 ^ _81879) ^ [] : [-(c_Orderings_Oord__class_Oless__eq(tc_fun(_162017, tc_HOL_Obool), _162013, _162015))], (3736 ^ _81879) ^ [] : [-(c_Orderings_Oord__class_Oless__eq(tc_fun(_162017, tc_HOL_Obool), _162015, _162013))]]], (3738 ^ _81879) ^ [_162138, _162140, _162142] : [c_Wellfounded_Owf(_162138, _162140), c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_162138, _162138), tc_HOL_Obool), _162142, _162140), -(c_Wellfounded_Owf(_162138, _162142))], (3748 ^ _81879) ^ [_162285, _162287, _162289] : [c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_162285, _162285), tc_HOL_Obool), _162287, _162289), -(c_Orderings_Oord__class_Oless__eq(tc_fun(_162285, tc_HOL_Obool), c_Wellfounded_Oacc(_162285, _162289), c_Wellfounded_Oacc(_162285, _162287)))], (3754 ^ _81879) ^ [_162398, _162400, _162402, _162404, _162406] : [c_Orderings_Oord__class_Oless__eq(tc_fun(_162398, tc_HOL_Obool), _162400, _162402), -(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_fun(_162398, _162404), tc_HOL_Obool), c_FuncSet_OPi(_162398, _162404, _162402, _162406), c_FuncSet_OPi(_162398, _162404, _162400, _162406)))], (3760 ^ _81879) ^ [_162523, _162525, _162527, _162529] : [c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_162523, _162525), tc_HOL_Obool), _162527, _162529), -(c_Orderings_Oord__class_Oless__eq(tc_fun(_162523, tc_HOL_Obool), c_Relation_ODomain(_162523, _162525, _162527), c_Relation_ODomain(_162523, _162525, _162529)))], (3766 ^ _81879) ^ [_162642, _162644, _162646, _162648] : [class_Lattices_Osemilattice__inf(_162642), c_Orderings_Oord__class_Oless__eq(_162642, _162644, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_162642), _162646), _162648)), 3773 ^ _81879 : [(3774 ^ _81879) ^ [] : [-(c_Orderings_Oord__class_Oless__eq(_162642, _162644, _162646))], (3776 ^ _81879) ^ [] : [-(c_Orderings_Oord__class_Oless__eq(_162642, _162644, _162648))]]], (3778 ^ _81879) ^ [_162829, _162831, _162833, _162835, _162837] : [class_Lattices_Osemilattice__inf(_162829), c_Orderings_Oord__class_Oless__eq(_162829, _162831, _162833), c_Orderings_Oord__class_Oless__eq(_162829, _162835, _162837), -(c_Orderings_Oord__class_Oless__eq(_162829, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_162829), _162831), _162835), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_162829), _162833), _162837)))], (3792 ^ _81879) ^ [_163064, _163066, _163068, _163070] : [class_Lattices_Osemilattice__inf(_163064), c_Orderings_Oord__class_Oless__eq(_163064, _163066, _163068), c_Orderings_Oord__class_Oless__eq(_163064, _163066, _163070), -(c_Orderings_Oord__class_Oless__eq(_163064, _163066, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_163064), _163068), _163070)))], (3806 ^ _81879) ^ [_163277, _163279, _163281, _163283] : [class_Lattices_Osemilattice__inf(_163277), c_Orderings_Oord__class_Oless__eq(_163277, _163279, _163281), c_Orderings_Oord__class_Oless__eq(_163277, _163279, _163283), -(c_Orderings_Oord__class_Oless__eq(_163277, _163279, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_163277), _163281), _163283)))], (3820 ^ _81879) ^ [_163490, _163492, _163494] : [class_Lattices_Osemilattice__inf(_163490), c_Orderings_Oord__class_Oless__eq(_163490, _163492, _163494), -(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_163490), _163494), _163492) = _163492)], (3830 ^ _81879) ^ [_163639, _163641, _163643] : [class_Lattices_Osemilattice__inf(_163639), c_Orderings_Oord__class_Oless__eq(_163639, _163641, _163643), -(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_163639), _163641), _163643) = _163641)], (3840 ^ _81879) ^ [_163788, _163790, _163792, _163794] : [class_Lattices_Osemilattice__inf(_163788), c_Orderings_Oord__class_Oless__eq(_163788, _163790, _163792), -(c_Orderings_Oord__class_Oless__eq(_163788, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_163788), _163794), _163790), _163792))], (3850 ^ _81879) ^ [_163943, _163945, _163947, _163949] : [class_Lattices_Osemilattice__inf(_163943), c_Orderings_Oord__class_Oless__eq(_163943, _163945, _163947), -(c_Orderings_Oord__class_Oless__eq(_163943, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_163943), _163945), _163949), _163947))], (3860 ^ _81879) ^ [_164098, _164100, _164102, _164104] : [class_Lattices_Osemilattice__inf(_164098), 3863 ^ _81879 : [(3864 ^ _81879) ^ [] : [c_Orderings_Oord__class_Oless__eq(_164098, _164100, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_164098), _164102), _164104)), 3867 ^ _81879 : [(3868 ^ _81879) ^ [] : [-(c_Orderings_Oord__class_Oless__eq(_164098, _164100, _164102))], (3870 ^ _81879) ^ [] : [-(c_Orderings_Oord__class_Oless__eq(_164098, _164100, _164104))]]], (3872 ^ _81879) ^ [] : [-(c_Orderings_Oord__class_Oless__eq(_164098, _164100, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_164098), _164102), _164104))), c_Orderings_Oord__class_Oless__eq(_164098, _164100, _164102), c_Orderings_Oord__class_Oless__eq(_164098, _164100, _164104)]]], (3882 ^ _81879) ^ [_164424, _164426, _164428] : [class_Lattices_Osemilattice__inf(_164424), 3885 ^ _81879 : [(3886 ^ _81879) ^ [] : [c_Orderings_Oord__class_Oless__eq(_164424, _164426, _164428), -(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_164424), _164426), _164428) = _164426)], (3892 ^ _81879) ^ [] : [hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_164424), _164426), _164428) = _164426, -(c_Orderings_Oord__class_Oless__eq(_164424, _164426, _164428))]]], (3898 ^ _81879) ^ [_164662, _164664, _164666] : [class_Lattices_Osemilattice__inf(_164662), -(c_Orderings_Oord__class_Oless__eq(_164662, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_164662), _164664), _164666), _164666))], (3904 ^ _81879) ^ [_164757, _164759, _164761] : [class_Lattices_Olattice(_164757), -(c_Orderings_Oord__class_Oless__eq(_164757, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_164757), _164759), _164761), _164761))], (3910 ^ _81879) ^ [_164852, _164854, _164856] : [class_Lattices_Osemilattice__inf(_164852), -(c_Orderings_Oord__class_Oless__eq(_164852, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_164852), _164854), _164856), _164854))], (3916 ^ _81879) ^ [_164947, _164949, _164951] : [class_Lattices_Olattice(_164947), -(c_Orderings_Oord__class_Oless__eq(_164947, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_164947), _164949), _164951), _164949))], (3922 ^ _81879) ^ [_165042, _165044, _165046, _165048] : [c_Orderings_Oord__class_Oless__eq(tc_fun(_165042, tc_HOL_Obool), _165044, _165046), hBOOL(hAPP(hAPP(c_member(_165042), _165048), _165044)), -(hBOOL(hAPP(hAPP(c_member(_165042), _165048), _165046)))], (3932 ^ _81879) ^ [_165215, _165217, _165219, _165221] : [hBOOL(hAPP(hAPP(c_member(_165215), _165217), _165219)), c_Orderings_Oord__class_Oless__eq(tc_fun(_165215, tc_HOL_Obool), _165219, _165221), -(hBOOL(hAPP(hAPP(c_member(_165215), _165217), _165221)))], (3942 ^ _81879) ^ [_165388, _165390, _165392, _165394] : [c_Orderings_Oord__class_Oless__eq(tc_fun(_165388, tc_HOL_Obool), _165390, _165392), hBOOL(hAPP(hAPP(c_member(_165388), _165394), _165390)), -(hBOOL(hAPP(hAPP(c_member(_165388), _165394), _165392)))], (3952 ^ _81879) ^ [_165561, _165563] : [c_Wellfounded_Owf(_165561, _165563), -(c_Wellfounded_Owf(_165561, c_Transitive__Closure_Otrancl(_165561, _165563)))], (3958 ^ _81879) ^ [_165644, _165646, _165648] : [c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_165644, _165644), tc_HOL_Obool), _165646, _165648), -(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_165644, _165644), tc_HOL_Obool), c_Transitive__Closure_Ortrancl(_165644, _165646), c_Transitive__Closure_Ortrancl(_165644, _165648)))], (3964 ^ _81879) ^ [_165763, _165765, _165767] : [c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_165763, _165763), tc_HOL_Obool), _165765, _165767), c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_165763, _165763), tc_HOL_Obool), _165767, c_Transitive__Closure_Ortrancl(_165763, _165765)), -(c_Transitive__Closure_Ortrancl(_165763, _165767) = c_Transitive__Closure_Ortrancl(_165763, _165765))], (3974 ^ _81879) ^ [_165942, _165944, _165946] : [c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_165942, _165942), tc_HOL_Obool), _165944, c_Transitive__Closure_Ortrancl(_165942, _165946)), -(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_165942, _165942), tc_HOL_Obool), c_Transitive__Closure_Ortrancl(_165942, _165944), c_Transitive__Closure_Ortrancl(_165942, _165946)))], (3980 ^ _81879) ^ [_166067, _166069, _166071] : [c_Wellfounded_Owf(_166067, _166069), -(c_Wellfounded_Owf(_166067, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(_166067, _166067), tc_HOL_Obool)), _166069), _166071)))], (3986 ^ _81879) ^ [_166174, _166176, _166178] : [c_Wellfounded_Owf(_166174, _166176), -(c_Wellfounded_Owf(_166174, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(_166174, _166174), tc_HOL_Obool)), _166178), _166176)))], (3992 ^ _81879) ^ [_166281, _166283] : [c_Wellfounded_Owf(_166281, _166283), -(c_Wellfounded_Oacyclic(_166281, _166283))], (3998 ^ _81879) ^ [_166358, _166360, _166362] : [c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_166358, _166358), tc_HOL_Obool), _166360, _166362), c_Relation_Oantisym(_166358, _166362), -(c_Relation_Oantisym(_166358, _166360))], (4008 ^ _81879) ^ [_166505, _166507, _166509] : [c_Wellfounded_Oacyclic(_166505, _166507), c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_166505, _166505), tc_HOL_Obool), _166509, _166507), -(c_Wellfounded_Oacyclic(_166505, _166509))], (4018 ^ _81879) ^ [_166652, _166654, _166656, _166658] : [c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_166652, _166654), tc_HOL_Obool), _166656, _166658), c_Relation_Osingle__valued(_166652, _166654, _166658), -(c_Relation_Osingle__valued(_166652, _166654, _166656))], (4028 ^ _81879) ^ [_166825, _166827, _166829] : [c_Orderings_Oord__class_Oless__eq(tc_fun(_166825, tc_HOL_Obool), hAPP(hAPP(c_COMBC(_166825, tc_fun(_166825, tc_HOL_Obool), tc_HOL_Obool), c_member(_166825)), _166827), hAPP(hAPP(c_COMBC(_166825, tc_fun(_166825, tc_HOL_Obool), tc_HOL_Obool), c_member(_166825)), _166829)), -(c_Orderings_Oord__class_Oless__eq(tc_fun(_166825, tc_HOL_Obool), _166827, _166829))], (4034 ^ _81879) ^ [_166976, _166978, _166980] : [c_Orderings_Oord__class_Oless__eq(tc_fun(_166976, tc_HOL_Obool), _166978, _166980), -(c_Orderings_Oord__class_Oless__eq(tc_fun(_166976, tc_HOL_Obool), hAPP(hAPP(c_COMBC(_166976, tc_fun(_166976, tc_HOL_Obool), tc_HOL_Obool), c_member(_166976)), _166978), hAPP(hAPP(c_COMBC(_166976, tc_fun(_166976, tc_HOL_Obool), tc_HOL_Obool), c_member(_166976)), _166980)))], (4040 ^ _81879) ^ [_167133, _167135, _167137] : [c_Wellfounded_Owf(_167133, _167135), hBOOL(hAPP(hAPP(c_member(tc_prod(_167133, _167133)), hAPP(hAPP(c_Product__Type_OPair(_167133, _167133), _167137), _167137)), _167135))], (4046 ^ _81879) ^ [_167251, _167253, _167255, _167257] : [c_Wellfounded_Owf(_167251, _167253), hBOOL(hAPP(hAPP(c_member(tc_prod(_167251, _167251)), hAPP(hAPP(c_Product__Type_OPair(_167251, _167251), _167255), _167257)), _167253)), hBOOL(hAPP(hAPP(c_member(tc_prod(_167251, _167251)), hAPP(hAPP(c_Product__Type_OPair(_167251, _167251), _167257), _167255)), _167253))], (4056 ^ _81879) ^ [_167465, _167467, _167469, _167471] : [c_Wellfounded_Owf(_167465, _167467), hBOOL(hAPP(hAPP(c_member(tc_prod(_167465, _167465)), hAPP(hAPP(c_Product__Type_OPair(_167465, _167465), _167469), _167471)), _167467)), hBOOL(hAPP(hAPP(c_member(tc_prod(_167465, _167465)), hAPP(hAPP(c_Product__Type_OPair(_167465, _167465), _167471), _167469)), _167467))], (4066 ^ _81879) ^ [_167679, _167681, _167683] : [c_Wellfounded_Owf(_167679, _167681), hBOOL(hAPP(hAPP(c_member(tc_prod(_167679, _167679)), hAPP(hAPP(c_Product__Type_OPair(_167679, _167679), _167683), _167683)), _167681))], (4072 ^ _81879) ^ [_167818, _167820, _167822, _167824] : [c_Orderings_Oord__class_Oless__eq(tc_fun(_167818, tc_HOL_Obool), c_Set_Oinsert(_167818, _167820, _167822), _167824), 4075 ^ _81879 : [(4076 ^ _81879) ^ [] : [-(hBOOL(hAPP(hAPP(c_member(_167818), _167820), _167824)))], (4078 ^ _81879) ^ [] : [-(c_Orderings_Oord__class_Oless__eq(tc_fun(_167818, tc_HOL_Obool), _167822, _167824))]]], (4080 ^ _81879) ^ [_167959, _167961, _167963, _167965] : [-(c_Orderings_Oord__class_Oless__eq(tc_fun(_167959, tc_HOL_Obool), c_Set_Oinsert(_167959, _167961, _167963), _167965)), hBOOL(hAPP(hAPP(c_member(_167959), _167961), _167965)), c_Orderings_Oord__class_Oless__eq(tc_fun(_167959, tc_HOL_Obool), _167963, _167965)], (4090 ^ _81879) ^ [_168135, _168137, _168139, _168141] : [-(hBOOL(hAPP(hAPP(c_member(_168135), _168137), _168139))), 4093 ^ _81879 : [(4094 ^ _81879) ^ [] : [c_Orderings_Oord__class_Oless__eq(tc_fun(_168135, tc_HOL_Obool), _168139, c_Set_Oinsert(_168135, _168137, _168141)), -(c_Orderings_Oord__class_Oless__eq(tc_fun(_168135, tc_HOL_Obool), _168139, _168141))], (4100 ^ _81879) ^ [] : [c_Orderings_Oord__class_Oless__eq(tc_fun(_168135, tc_HOL_Obool), _168139, _168141), -(c_Orderings_Oord__class_Oless__eq(tc_fun(_168135, tc_HOL_Obool), _168139, c_Set_Oinsert(_168135, _168137, _168141)))]]], (4106 ^ _81879) ^ [_168410, _168412] : [c_Wellfounded_Owf(_168410, _168412), 4109 ^ _81879 : [(4110 ^ _81879) ^ [_168479] : [-(hBOOL(hAPP(hAPP(c_member(_168410), _168479), c_Wellfounded_Oacc(_168410, _168412))))]]], (4112 ^ _81879) ^ [_168512, _168514] : [hBOOL(hAPP(hAPP(c_member(_168512), 4113 ^ [_168512, _168514]), c_Wellfounded_Oacc(_168512, _168514))), -(c_Wellfounded_Owf(_168512, _168514))], (4119 ^ _81879) ^ [_168645, _168647, _168649] : [c_Wellfounded_Owf(_168645, _168647), -(hBOOL(hAPP(hAPP(c_member(_168645), _168649), c_Wellfounded_Oacc(_168645, _168647))))], (4125 ^ _81879) ^ [_168744, _168746, _168748, _168750] : [hBOOL(hAPP(hAPP(c_member(tc_prod(_168744, _168744)), _168746), c_Transitive__Closure_Otrancl(_168744, _168748))), c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_168744, _168744), tc_HOL_Obool), _168748, _168750), -(hBOOL(hAPP(hAPP(c_member(tc_prod(_168744, _168744)), _168746), c_Transitive__Closure_Otrancl(_168744, _168750))))], (4135 ^ _81879) ^ [_168947, _168949, _168951, _168953, _168955] : [hBOOL(hAPP(hAPP(c_member(tc_fun(_168947, _168949)), _168951), c_FuncSet_Oextensional(_168947, _168949, _168953))), c_Orderings_Oord__class_Oless__eq(tc_fun(_168947, tc_HOL_Obool), _168953, _168955), -(hBOOL(hAPP(hAPP(c_member(tc_fun(_168947, _168949)), _168951), c_FuncSet_Oextensional(_168947, _168949, _168955))))], (4145 ^ _81879) ^ [_169152, _169154, _169156, _169158] : [-(c_Orderings_Oord__class_Oless__eq(tc_fun(_169152, tc_HOL_Obool), c_Relation_ODomain(_169152, _169154, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(_169152, _169154), tc_HOL_Obool)), _169156), _169158)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_169152, tc_HOL_Obool)), c_Relation_ODomain(_169152, _169154, _169156)), c_Relation_ODomain(_169152, _169154, _169158))))], (4147 ^ _81879) ^ [_169222, _169224, _169226, _169228] : [-(c_Fun_Ofun__upd(_169222, _169224, _169226, _169228, hAPP(_169226, _169228)) = _169226)], (4149 ^ _81879) ^ [_169260, _169262] : [class_Orderings_Opreorder(_169260), -(c_Orderings_Oord__class_Oless__eq(_169260, _169262, _169262))], (4155 ^ _81879) ^ [_169337, _169339] : [-(c_Wellfounded_Owf(_169337, c_Wellfounded_Omeasure(_169337, _169339)))], (4157 ^ _81879) ^ [_169365, _169367, _169369, _169371, _169373] : [class_Orderings_Oord(_169365), c_Orderings_Oord__class_Oless__eq(tc_fun(_169367, _169365), _169369, _169371), -(c_Orderings_Oord__class_Oless__eq(_169365, hAPP(_169369, _169373), hAPP(_169371, _169373)))], (4167 ^ _81879) ^ [_169526, _169528, _169530] : [c_Orderings_Oord__class_Oless__eq(tc_fun(_169526, tc_fun(_169526, tc_HOL_Obool)), _169528, _169530), -(c_Orderings_Oord__class_Oless__eq(tc_fun(_169526, tc_HOL_Obool), c_Wellfounded_Oaccp(_169526, _169530), c_Wellfounded_Oaccp(_169526, _169528)))], (4173 ^ _81879) ^ [_169660, _169662, _169664, _169666] : [c_Orderings_Oord__class_Oless__eq(tc_fun(_169660, tc_fun(_169662, tc_HOL_Obool)), hAPP(hAPP(c_COMBC(_169660, tc_fun(tc_prod(_169660, _169662), tc_HOL_Obool), tc_fun(_169662, tc_HOL_Obool)), hAPP(c_COMBB(tc_fun(_169662, tc_fun(tc_fun(tc_prod(_169660, _169662), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_169660, _169662), tc_HOL_Obool), tc_fun(_169662, tc_HOL_Obool)), _169660, c_COMBC(_169662, tc_fun(tc_prod(_169660, _169662), tc_HOL_Obool), tc_HOL_Obool)), hAPP(c_COMBB(tc_fun(_169662, tc_prod(_169660, _169662)), tc_fun(_169662, tc_fun(tc_fun(tc_prod(_169660, _169662), tc_HOL_Obool), tc_HOL_Obool)), _169660, c_COMBB(tc_prod(_169660, _169662), tc_fun(tc_fun(tc_prod(_169660, _169662), tc_HOL_Obool), tc_HOL_Obool), _169662, c_member(tc_prod(_169660, _169662)))), c_Product__Type_OPair(_169660, _169662)))), _169664), hAPP(hAPP(c_COMBC(_169660, tc_fun(tc_prod(_169660, _169662), tc_HOL_Obool), tc_fun(_169662, tc_HOL_Obool)), hAPP(c_COMBB(tc_fun(_169662, tc_fun(tc_fun(tc_prod(_169660, _169662), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_169660, _169662), tc_HOL_Obool), tc_fun(_169662, tc_HOL_Obool)), _169660, c_COMBC(_169662, tc_fun(tc_prod(_169660, _169662), tc_HOL_Obool), tc_HOL_Obool)), hAPP(c_COMBB(tc_fun(_169662, tc_prod(_169660, _169662)), tc_fun(_169662, tc_fun(tc_fun(tc_prod(_169660, _169662), tc_HOL_Obool), tc_HOL_Obool)), _169660, c_COMBB(tc_prod(_169660, _169662), tc_fun(tc_fun(tc_prod(_169660, _169662), tc_HOL_Obool), tc_HOL_Obool), _169662, c_member(tc_prod(_169660, _169662)))), c_Product__Type_OPair(_169660, _169662)))), _169666)), -(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_169660, _169662), tc_HOL_Obool), _169664, _169666))], (4179 ^ _81879) ^ [_170213, _170215, _170217, _170219] : [c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_170213, _170215), tc_HOL_Obool), _170217, _170219), -(c_Orderings_Oord__class_Oless__eq(tc_fun(_170213, tc_fun(_170215, tc_HOL_Obool)), hAPP(hAPP(c_COMBC(_170213, tc_fun(tc_prod(_170213, _170215), tc_HOL_Obool), tc_fun(_170215, tc_HOL_Obool)), hAPP(c_COMBB(tc_fun(_170215, tc_fun(tc_fun(tc_prod(_170213, _170215), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_170213, _170215), tc_HOL_Obool), tc_fun(_170215, tc_HOL_Obool)), _170213, c_COMBC(_170215, tc_fun(tc_prod(_170213, _170215), tc_HOL_Obool), tc_HOL_Obool)), hAPP(c_COMBB(tc_fun(_170215, tc_prod(_170213, _170215)), tc_fun(_170215, tc_fun(tc_fun(tc_prod(_170213, _170215), tc_HOL_Obool), tc_HOL_Obool)), _170213, c_COMBB(tc_prod(_170213, _170215), tc_fun(tc_fun(tc_prod(_170213, _170215), tc_HOL_Obool), tc_HOL_Obool), _170215, c_member(tc_prod(_170213, _170215)))), c_Product__Type_OPair(_170213, _170215)))), _170217), hAPP(hAPP(c_COMBC(_170213, tc_fun(tc_prod(_170213, _170215), tc_HOL_Obool), tc_fun(_170215, tc_HOL_Obool)), hAPP(c_COMBB(tc_fun(_170215, tc_fun(tc_fun(tc_prod(_170213, _170215), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_170213, _170215), tc_HOL_Obool), tc_fun(_170215, tc_HOL_Obool)), _170213, c_COMBC(_170215, tc_fun(tc_prod(_170213, _170215), tc_HOL_Obool), tc_HOL_Obool)), hAPP(c_COMBB(tc_fun(_170215, tc_prod(_170213, _170215)), tc_fun(_170215, tc_fun(tc_fun(tc_prod(_170213, _170215), tc_HOL_Obool), tc_HOL_Obool)), _170213, c_COMBB(tc_prod(_170213, _170215), tc_fun(tc_fun(tc_prod(_170213, _170215), tc_HOL_Obool), tc_HOL_Obool), _170215, c_member(tc_prod(_170213, _170215)))), c_Product__Type_OPair(_170213, _170215)))), _170219)))], (4185 ^ _81879) ^ [_170772, _170774, _170776] : [class_Orderings_Olinorder(_170772), -(c_Orderings_Oord__class_Oless__eq(_170772, _170774, _170776)), -(c_Orderings_Oord__class_Oless__eq(_170772, _170776, _170774))], (4195 ^ _81879) ^ [_170866, _170868, _170870] : [class_Orderings_Oorder(_170866), 4198 ^ _81879 : [(4199 ^ _81879) ^ [] : [_170868 = _170870, 4202 ^ _81879 : [(4203 ^ _81879) ^ [] : [-(c_Orderings_Oord__class_Oless__eq(_170866, _170868, _170870))], (4205 ^ _81879) ^ [] : [-(c_Orderings_Oord__class_Oless__eq(_170866, _170870, _170868))]]], (4207 ^ _81879) ^ [] : [-(_170868 = _170870), c_Orderings_Oord__class_Oless__eq(_170866, _170868, _170870), c_Orderings_Oord__class_Oless__eq(_170866, _170870, _170868)]]], (4217 ^ _81879) ^ [_171157, _171159, _171161] : [class_Orderings_Opreorder(_171157), _171159 = _171161, -(c_Orderings_Oord__class_Oless__eq(_171157, _171159, _171161))], (4227 ^ _81879) ^ [_171290, _171292, _171294] : [class_Orderings_Oorder(_171290), c_Orderings_Oord__class_Oless__eq(_171290, _171292, _171294), 4234 ^ _81879 : [(4235 ^ _81879) ^ [] : [c_Orderings_Oord__class_Oless__eq(_171290, _171294, _171292), -(_171294 = _171292)], (4241 ^ _81879) ^ [] : [_171294 = _171292, -(c_Orderings_Oord__class_Oless__eq(_171290, _171294, _171292))]]], (4247 ^ _81879) ^ [_171560, _171562, _171564, _171566] : [class_Orderings_Oord(_171560), _171562 = _171564, c_Orderings_Oord__class_Oless__eq(_171560, _171564, _171566), -(c_Orderings_Oord__class_Oless__eq(_171560, _171562, _171566))], (4261 ^ _81879) ^ [_171755, _171757, _171759, _171761] : [class_Orderings_Oorder(_171755), _171757 = _171759, c_Orderings_Oord__class_Oless__eq(_171755, _171761, _171759), -(c_Orderings_Oord__class_Oless__eq(_171755, _171761, _171757))], (4275 ^ _81879) ^ [_171950, _171952, _171954, _171956] : [class_Orderings_Oord(_171950), c_Orderings_Oord__class_Oless__eq(_171950, _171952, _171954), _171954 = _171956, -(c_Orderings_Oord__class_Oless__eq(_171950, _171952, _171956))], (4289 ^ _81879) ^ [_172145, _172147, _172149, _172151] : [class_Orderings_Oorder(_172145), c_Orderings_Oord__class_Oless__eq(_172145, _172147, _172149), _172147 = _172151, -(c_Orderings_Oord__class_Oless__eq(_172145, _172151, _172149))], (4303 ^ _81879) ^ [_172340, _172342, _172344] : [class_Orderings_Oorder(_172340), c_Orderings_Oord__class_Oless__eq(_172340, _172342, _172344), c_Orderings_Oord__class_Oless__eq(_172340, _172344, _172342), -(_172342 = _172344)], (4317 ^ _81879) ^ [_172529, _172531, _172533, _172535] : [class_Orderings_Opreorder(_172529), c_Orderings_Oord__class_Oless__eq(_172529, _172531, _172533), c_Orderings_Oord__class_Oless__eq(_172529, _172533, _172535), -(c_Orderings_Oord__class_Oless__eq(_172529, _172531, _172535))], (4331 ^ _81879) ^ [_172726, _172728, _172730] : [class_Orderings_Oorder(_172726), c_Orderings_Oord__class_Oless__eq(_172726, _172728, _172730), c_Orderings_Oord__class_Oless__eq(_172726, _172730, _172728), -(_172730 = _172728)], (4345 ^ _81879) ^ [_172915, _172917, _172919, _172921] : [class_Orderings_Oorder(_172915), c_Orderings_Oord__class_Oless__eq(_172915, _172917, _172919), c_Orderings_Oord__class_Oless__eq(_172915, _172921, _172917), -(c_Orderings_Oord__class_Oless__eq(_172915, _172921, _172919))], (4359 ^ _81879) ^ [_173112, _173114, _173116] : [class_Orderings_Olinorder(_173112), -(c_Orderings_Oord__class_Oless__eq(_173112, _173114, _173116)), -(c_Orderings_Oord__class_Oless__eq(_173112, _173116, _173114))], (4369 ^ _81879) ^ [_173232, _173234, _173236, _173238, _173240] : [c_Fun_Ofun__upd(_173232, _173234, _173236, _173238, _173240) = _173236, -(hAPP(_173236, _173238) = _173240)], (4375 ^ _81879) ^ [_173329, _173331, _173333, _173335, _173337] : [hAPP(_173333, _173335) = _173337, -(c_Fun_Ofun__upd(_173329, _173331, _173333, _173335, _173337) = _173333)], (4381 ^ _81879) ^ [_173432, _173434, _173436, _173438, _173440, _173442] : [-(c_Fun_Ofun__upd(_173432, _173434, c_Fun_Ofun__upd(_173432, _173434, _173436, _173438, _173440), _173438, _173442) = c_Fun_Ofun__upd(_173432, _173434, _173436, _173438, _173442))], (4383 ^ _81879) ^ [_173483, _173485, _173487, _173489, _173491] : [-(hAPP(c_Fun_Ofun__upd(_173483, _173485, _173487, _173489, _173491), _173489) = _173491)], (4385 ^ _81879) ^ [_173544, _173546, _173548, _173550, _173552, _173554] : [_173544 = _173546, -(hAPP(c_Fun_Ofun__upd(_173548, _173550, _173552, _173546, _173554), _173544) = _173554)], (4391 ^ _81879) ^ [_173641, _173643, _173645, _173647, _173649, _173651] : [-(_173641 = _173643), -(hAPP(c_Fun_Ofun__upd(_173645, _173647, _173649, _173643, _173651), _173641) = hAPP(_173649, _173641))], (4397 ^ _81879) ^ [_173695, _173697, _173699, _173701, _173703, _173705, _173707] : [-(_173695 = _173697), -(c_Fun_Ofun__upd(_173699, _173701, c_Fun_Ofun__upd(_173699, _173701, _173703, _173695, _173705), _173697, _173707) = c_Fun_Ofun__upd(_173699, _173701, c_Fun_Ofun__upd(_173699, _173701, _173703, _173697, _173707), _173695, _173705))], (4403 ^ _81879) ^ [_173761, _173763, _173765, _173767, _173769, _173771] : [-(_173761 = _173763), -(hAPP(c_Fun_Ofun__upd(_173765, _173767, _173769, _173763, _173771), _173761) = hAPP(_173769, _173761))], (4409 ^ _81879) ^ [_173817, _173819, _173821, _173823, _173825] : [hAPP(_173817, _173819) = _173821, -(c_Fun_Ofun__upd(_173823, _173825, _173817, _173819, _173821) = _173817)], (4415 ^ _81879) ^ [_173939, _173941, _173943, _173945, _173947, _173949] : [_173939 = _173941, -(hAPP(c_Fun_Ofun__upd(_173943, _173945, _173947, _173941, _173949), _173939) = _173949)], (4421 ^ _81879) ^ [_174036, _174038, _174040, _174042, _174044, _174046] : [-(_174036 = _174038), -(hAPP(c_Fun_Ofun__upd(_174040, _174042, _174044, _174038, _174046), _174036) = hAPP(_174044, _174036))], (4427 ^ _81879) ^ [_174094, _174096, _174098, _174100] : [class_Orderings_Oord(_174094), 4430 ^ _81879 : [(4431 ^ _81879) ^ [] : [c_Orderings_Oord__class_Oless__eq(tc_fun(_174096, _174094), _174098, _174100), 4434 ^ _81879 : [(4435 ^ _81879) ^ [_174233] : [-(c_Orderings_Oord__class_Oless__eq(_174094, hAPP(_174098, _174233), hAPP(_174100, _174233)))]]], (4437 ^ _81879) ^ [] : [c_Orderings_Oord__class_Oless__eq(_174094, hAPP(_174098, 4438 ^ [_174094, _174096, _174098, _174100]), hAPP(_174100, 4438 ^ [_174094, _174096, _174098, _174100])), -(c_Orderings_Oord__class_Oless__eq(tc_fun(_174096, _174094), _174098, _174100))]]], (4444 ^ _81879) ^ [_174398, _174400, _174402, _174404, _174406] : [class_Orderings_Oord(_174398), c_Orderings_Oord__class_Oless__eq(tc_fun(_174400, _174398), _174402, _174404), -(c_Orderings_Oord__class_Oless__eq(_174398, hAPP(_174402, _174406), hAPP(_174404, _174406)))], (4454 ^ _81879) ^ [_174559, _174561, _174563, _174565] : [4456 ^ _81879 : [(4457 ^ _81879) ^ [] : [-(hBOOL(hAPP(_174559, 4455 ^ [_174559, _174561, _174563, _174565])))], (4459 ^ _81879) ^ [] : [c_Wellfounded_Owf(_174561, hAPP(_174563, 4455 ^ [_174559, _174561, _174563, _174565]))]], -(c_Wellfounded_Owf(tc_prod(_174565, _174561), c_Recdef_Osame__fst(_174565, _174561, _174559, _174563)))], (4463 ^ _81879) ^ [_174744, _174746, _174748, _174750] : [c_Wellfounded_Owf(_174748, _174744), 4466 ^ _81879 : [(4467 ^ _81879) ^ [_174838] : [-(hAPP(c_Recdef_Owfrec(_174748, _174750, _174744, _174746), _174838) = hAPP(hAPP(_174746, hAPP(hAPP(hAPP(c_Recdef_Ocut(_174748, _174750), c_Recdef_Owfrec(_174748, _174750, _174744, _174746)), _174744), _174838)), _174838))]]], (4469 ^ _81879) ^ [_174896, _174898, _174900, _174902, _174904] : [c_Wellfounded_Owf(_174896, _174898), -(hAPP(c_Recdef_Owfrec(_174896, _174900, _174898, _174902), _174904) = hAPP(hAPP(_174902, hAPP(hAPP(hAPP(c_Recdef_Ocut(_174896, _174900), c_Recdef_Owfrec(_174896, _174900, _174898, _174902)), _174898), _174904)), _174904))], (4475 ^ _81879) ^ [_175041, _175043, _175045, _175047, _175049, _175051] : [c_Orderings_Oord__class_Oless__eq(tc_fun(_175041, tc_fun(_175043, tc_HOL_Obool)), _175045, _175047), hBOOL(hAPP(hAPP(_175045, _175049), _175051)), -(hBOOL(hAPP(hAPP(_175047, _175049), _175051)))], (4485 ^ _81879) ^ [_175220, _175222, _175224, _175226, _175228, _175230] : [hBOOL(hAPP(hAPP(_175220, _175222), _175224)), c_Orderings_Oord__class_Oless__eq(tc_fun(_175226, tc_fun(_175228, tc_HOL_Obool)), _175220, _175230), -(hBOOL(hAPP(hAPP(_175230, _175222), _175224)))], (4495 ^ _81879) ^ [_175399, _175401, _175403, _175405, _175407, _175409] : [_175399 = c_Recdef_Owfrec(_175401, _175403, _175405, _175407), c_Wellfounded_Owf(_175401, _175405), -(hAPP(_175399, _175409) = hAPP(hAPP(_175407, hAPP(hAPP(hAPP(c_Recdef_Ocut(_175401, _175403), _175399), _175405), _175409)), _175409))], (4505 ^ _81879) ^ [_175596, _175598, _175600, _175602, _175604] : [-(hAPP(c_Recdef_Owfrec(_175596, _175598, _175600, _175602), _175604) = c_HOL_OThe(_175598, c_Recdef_Owfrec__rel(_175596, _175598, _175600, hAPP(hAPP(c_COMBC(tc_fun(_175596, _175598), tc_fun(_175596, _175596), tc_fun(_175596, _175598)), hAPP(c_COMBB(tc_fun(_175596, tc_fun(_175596, _175598)), tc_fun(tc_fun(_175596, _175596), tc_fun(_175596, _175598)), tc_fun(_175596, _175598), c_COMBS(_175596, _175596, _175598)), hAPP(c_COMBB(tc_fun(_175596, tc_fun(_175596, _175598)), tc_fun(_175596, tc_fun(_175596, _175598)), tc_fun(_175596, _175598), c_COMBB(tc_fun(_175596, _175598), tc_fun(_175596, _175598), _175596, _175602)), hAPP(hAPP(c_COMBC(tc_fun(_175596, _175598), tc_fun(tc_prod(_175596, _175596), tc_HOL_Obool), tc_fun(_175596, tc_fun(_175596, _175598))), c_Recdef_Ocut(_175596, _175598)), _175600)))), c_COMBI(_175596)), _175604)))], (4507 ^ _81879) ^ [_175757, _175759, _175761, _175763, _175765] : [c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, hAPP(_175757, _175759), hAPP(_175757, _175761)), hBOOL(hAPP(hAPP(c_member(tc_prod(_175763, _175763)), hAPP(hAPP(c_Product__Type_OPair(_175763, _175763), _175759), _175761)), _175765)), -(hBOOL(hAPP(hAPP(c_member(tc_prod(_175763, _175763)), hAPP(hAPP(c_Product__Type_OPair(_175763, _175763), _175759), _175761)), c_Wellfounded_Omlex__prod(_175763, _175757, _175765))))], (4517 ^ _81879) ^ [_175996, _175998, _176000, _176002, _176004] : [c_Recdef_Oadm__wf(_175996, _175998, _176000, _176002), c_Wellfounded_Owf(_175996, _176000), 4525 ^ _81879 : [(4526 ^ _81879) ^ [] : [-(hBOOL(hAPP(c_Recdef_Owfrec__rel(_175996, _175998, _176000, _176002, _176004), 4524 ^ [_175996, _175998, _176000, _176002, _176004])))], (4528 ^ _81879) ^ [_176235] : [hBOOL(hAPP(c_Recdef_Owfrec__rel(_175996, _175998, _176000, _176002, _176004), _176235)), -(_176235 = 4524 ^ [_175996, _175998, _176000, _176002, _176004])]]], (4534 ^ _81879) ^ [_176370, _176372, _176374] : [c_Wellfounded_Owf(_176370, _176372), -(c_Wellfounded_Owf(_176370, c_Wellfounded_Omlex__prod(_176370, _176374, _176372)))], (4540 ^ _81879) ^ [_176475, _176477, _176479, _176481, _176483] : [c_Wellfounded_Owf(_176475, _176477), -(c_Nitpick_Owfrec_H(_176475, _176479, _176477, _176481, _176483) = c_Nitpick_Owf__wfrec_H(_176475, _176479, _176477, _176481, _176483))], (4546 ^ _81879) ^ [_176576, _176578, _176580, _176582, _176584] : [-(c_Wellfounded_Owf(_176576, _176578)), -(c_Nitpick_Owfrec_H(_176576, _176580, _176578, _176582, _176584) = c_HOL_OThe(_176580, c_Recdef_Owfrec__rel(_176576, _176580, _176578, hAPP(hAPP(c_COMBC(tc_fun(_176576, _176580), tc_fun(_176576, _176576), tc_fun(_176576, _176580)), hAPP(c_COMBB(tc_fun(_176576, tc_fun(_176576, _176580)), tc_fun(tc_fun(_176576, _176576), tc_fun(_176576, _176580)), tc_fun(_176576, _176580), c_COMBS(_176576, _176576, _176580)), hAPP(c_COMBB(tc_fun(_176576, tc_fun(_176576, _176580)), tc_fun(_176576, tc_fun(_176576, _176580)), tc_fun(_176576, _176580), c_COMBB(tc_fun(_176576, _176580), tc_fun(_176576, _176580), _176576, _176582)), hAPP(hAPP(c_COMBC(tc_fun(_176576, _176580), tc_fun(tc_prod(_176576, _176576), tc_HOL_Obool), tc_fun(_176576, tc_fun(_176576, _176580))), c_Recdef_Ocut(_176576, _176580)), _176578)))), c_COMBI(_176576)), _176584)))], (4552 ^ _81879) ^ [_176748, _176750] : [-(c_HOL_OThe(_176748, hAPP(c_fequal, _176750)) = _176750)], (4554 ^ _81879) ^ [_176779, _176781] : [-(c_HOL_OThe(_176779, hAPP(hAPP(c_COMBC(_176779, _176779, tc_HOL_Obool), c_fequal), _176781)) = _176781)], (4556 ^ _81879) ^ [_176817, _176819, _176821, _176823, _176825] : [-(c_Nitpick_Owf__wfrec_H(_176817, _176819, _176821, _176823, _176825) = hAPP(hAPP(_176823, hAPP(hAPP(hAPP(c_Recdef_Ocut(_176817, _176819), c_Nitpick_Owf__wfrec(_176817, _176819, _176821, _176823)), _176821), _176825)), _176825))], (4558 ^ _81879) ^ [_176877, _176879, _176881, _176883, _176885] : [4560 ^ _81879 : [(4561 ^ _81879) ^ [] : [-(hBOOL(hAPP(hAPP(c_member(_176877), 4559 ^ [_176877, _176879, _176881, _176883, _176885]), _176879)))], (4563 ^ _81879) ^ [] : [c_Orderings_Oord__class_Oless__eq(tc_fun(_176881, tc_HOL_Obool), hAPP(_176883, 4559 ^ [_176877, _176879, _176881, _176883, _176885]), hAPP(_176885, 4559 ^ [_176877, _176879, _176881, _176883, _176885]))]], -(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_fun(_176877, _176881), tc_HOL_Obool), c_FuncSet_OPi(_176877, _176881, _176879, _176883), c_FuncSet_OPi(_176877, _176881, _176879, _176885)))], (4567 ^ _81879) ^ [_177147, _177149] : [c_Wellfounded_OwfP(_177147, hAPP(hAPP(c_COMBC(_177147, tc_fun(tc_prod(_177147, _177147), tc_HOL_Obool), tc_fun(_177147, tc_HOL_Obool)), hAPP(c_COMBB(tc_fun(_177147, tc_fun(tc_fun(tc_prod(_177147, _177147), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_177147, _177147), tc_HOL_Obool), tc_fun(_177147, tc_HOL_Obool)), _177147, c_COMBC(_177147, tc_fun(tc_prod(_177147, _177147), tc_HOL_Obool), tc_HOL_Obool)), hAPP(c_COMBB(tc_fun(_177147, tc_prod(_177147, _177147)), tc_fun(_177147, tc_fun(tc_fun(tc_prod(_177147, _177147), tc_HOL_Obool), tc_HOL_Obool)), _177147, c_COMBB(tc_prod(_177147, _177147), tc_fun(tc_fun(tc_prod(_177147, _177147), tc_HOL_Obool), tc_HOL_Obool), _177147, c_member(tc_prod(_177147, _177147)))), c_Product__Type_OPair(_177147, _177147)))), _177149)), -(c_Wellfounded_Owf(_177147, _177149))], (4573 ^ _81879) ^ [_177444, _177446] : [c_Wellfounded_Owf(_177444, _177446), -(c_Wellfounded_OwfP(_177444, hAPP(hAPP(c_COMBC(_177444, tc_fun(tc_prod(_177444, _177444), tc_HOL_Obool), tc_fun(_177444, tc_HOL_Obool)), hAPP(c_COMBB(tc_fun(_177444, tc_fun(tc_fun(tc_prod(_177444, _177444), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_177444, _177444), tc_HOL_Obool), tc_fun(_177444, tc_HOL_Obool)), _177444, c_COMBC(_177444, tc_fun(tc_prod(_177444, _177444), tc_HOL_Obool), tc_HOL_Obool)), hAPP(c_COMBB(tc_fun(_177444, tc_prod(_177444, _177444)), tc_fun(_177444, tc_fun(tc_fun(tc_prod(_177444, _177444), tc_HOL_Obool), tc_HOL_Obool)), _177444, c_COMBB(tc_prod(_177444, _177444), tc_fun(tc_fun(tc_prod(_177444, _177444), tc_HOL_Obool), tc_HOL_Obool), _177444, c_member(tc_prod(_177444, _177444)))), c_Product__Type_OPair(_177444, _177444)))), _177446)))], (4579 ^ _81879) ^ [_177747] : [-(c_Wellfounded_OwfP(_177747, c_COMBK(tc_fun(_177747, tc_HOL_Obool), _177747, c_COMBK(tc_HOL_Obool, _177747, c_fFalse))))], (4581 ^ _81879) ^ [_177796, _177798] : [c_Wellfounded_OwfP(_177796, _177798), 4584 ^ _81879 : [(4585 ^ _81879) ^ [_177860] : [-(hBOOL(hAPP(c_Wellfounded_Oaccp(_177796, _177798), _177860)))]]], (4587 ^ _81879) ^ [_177888, _177890] : [hBOOL(hAPP(c_Wellfounded_Oaccp(_177888, _177890), 4588 ^ [_177888, _177890])), -(c_Wellfounded_OwfP(_177888, _177890))], (4594 ^ _81879) ^ [_178006, _178008, _178010] : [c_Wellfounded_OwfP(_178006, _178008), -(hBOOL(hAPP(c_Wellfounded_Oaccp(_178006, _178008), _178010)))], (4600 ^ _81879) ^ [_178095, _178097] : [c_Wellfounded_OwfP(_178095, _178097), -(c_Wellfounded_OwfP(_178095, c_Transitive__Closure_Otranclp(_178095, _178097)))], (4606 ^ _81879) ^ [_178178, _178180, _178182] : [c_Wellfounded_OwfP(_178178, _178180), c_Orderings_Oord__class_Oless__eq(tc_fun(_178178, tc_fun(_178178, tc_HOL_Obool)), _178182, _178180), -(c_Wellfounded_OwfP(_178178, _178182))], (4616 ^ _81879) ^ [_178325, _178327] : [c_Wellfounded_Owf(_178325, _178327), -(c_Wellfounded_OwfP(_178325, c_FunDef_Oin__rel(_178325, _178325, _178327)))], (4639 ^ _81879) ^ [_178944, _178946] : [-(c_Wellfounded_Owf(_178944, _178946)), 4642 ^ _81879 : [(4643 ^ _81879) ^ [] : [-(hBOOL(hAPP(hAPP(c_member(_178944), 4641 ^ [_178944, _178946]), 4640 ^ [_178944, _178946])))], (4645 ^ _81879) ^ [_179164] : [hBOOL(hAPP(hAPP(c_member(_178944), _179164), 4640 ^ [_178944, _178946])), 4649 ^ _81879 : [(4650 ^ _81879) ^ [] : [-(hBOOL(hAPP(hAPP(c_member(tc_prod(_178944, _178944)), hAPP(hAPP(c_Product__Type_OPair(_178944, _178944), 4648 ^ [_178944, _178946, _179164]), _179164)), _178946)))], (4652 ^ _81879) ^ [] : [-(hBOOL(hAPP(hAPP(c_member(_178944), 4648 ^ [_178944, _178946, _179164]), 4640 ^ [_178944, _178946])))]]]]], (4622 ^ _81879) ^ [_178425, _178427] : [c_Wellfounded_Owf(_178425, _178427), 4625 ^ _81879 : [(4626 ^ _81879) ^ [_178557] : [4627 ^ _81879 : [(4628 ^ _81879) ^ [_178662] : [hBOOL(hAPP(hAPP(c_member(_178425), _178662), _178557))]], 4630 ^ _81879 : [(4631 ^ _81879) ^ [] : [-(hBOOL(hAPP(hAPP(c_member(_178425), 4629 ^ [_178425, _178427, _178557]), _178557)))], (4633 ^ _81879) ^ [_178784] : [hBOOL(hAPP(hAPP(c_member(tc_prod(_178425, _178425)), hAPP(hAPP(c_Product__Type_OPair(_178425, _178425), _178784), 4629 ^ [_178425, _178427, _178557])), _178427)), hBOOL(hAPP(hAPP(c_member(_178425), _178784), _178557))]]]]], (4656 ^ _81879) ^ [_179420, _179422, _179424, _179426, _179428] : [hBOOL(hAPP(hAPP(c_member(tc_prod(_179420, _179420)), hAPP(hAPP(c_Product__Type_OPair(_179420, _179420), _179422), _179424)), c_Transitive__Closure_Ortrancl(_179420, _179426))), c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_179420, _179420), tc_HOL_Obool), _179426, c_Product__Type_OSigma(_179420, _179420, _179428, c_COMBK(tc_fun(_179420, tc_HOL_Obool), _179420, _179428))), -(_179422 = _179424), -(hBOOL(hAPP(hAPP(c_member(_179420), _179422), _179428)))], (4670 ^ _81879) ^ [_179670, _179672, _179674, _179676, _179678] : [-(c_Fun_Othe__inv__into(_179670, _179672, _179674, _179676, _179678) = c_HOL_OThe(_179670, hAPP(hAPP(c_COMBS(_179670, tc_HOL_Obool, tc_HOL_Obool), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _179670, c_fconj), hAPP(hAPP(c_COMBC(_179670, tc_fun(_179670, tc_HOL_Obool), tc_HOL_Obool), c_member(_179670)), _179674))), hAPP(hAPP(c_COMBC(_179670, _179672, tc_HOL_Obool), hAPP(c_COMBB(_179672, tc_fun(_179672, tc_HOL_Obool), _179670, c_fequal), _179676)), _179678))))], (4672 ^ _81879) ^ [_179764, _179766, _179768] : [c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_179764, _179764), tc_HOL_Obool), _179766, c_Product__Type_OSigma(_179764, _179764, _179768, c_COMBK(tc_fun(_179764, tc_HOL_Obool), _179764, _179768))), -(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_179764, _179764), tc_HOL_Obool), c_Transitive__Closure_Otrancl(_179764, _179766), c_Product__Type_OSigma(_179764, _179764, _179768, c_COMBK(tc_fun(_179764, tc_HOL_Obool), _179764, _179768))))], (4678 ^ _81879) ^ [_179925, _179927] : [-(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_179925, _179925), tc_HOL_Obool), c_Relation_OId__on(_179925, _179927), c_Product__Type_OSigma(_179925, _179925, _179927, c_COMBK(tc_fun(_179925, tc_HOL_Obool), _179925, _179927))))], (4680 ^ _81879) ^ [_179990, _179992, _179994] : [c_Relation_Orefl__on(_179990, _179992, _179994), 4683 ^ _81879 : [(4684 ^ _81879) ^ [] : [-(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_179990, _179990), tc_HOL_Obool), _179994, c_Product__Type_OSigma(_179990, _179990, _179992, c_COMBK(tc_fun(_179990, tc_HOL_Obool), _179990, _179992))))], (4686 ^ _81879) ^ [_180148] : [hBOOL(hAPP(hAPP(c_member(_179990), _180148), _179992)), -(hBOOL(hAPP(hAPP(c_member(tc_prod(_179990, _179990)), hAPP(hAPP(c_Product__Type_OPair(_179990, _179990), _180148), _180148)), _179994)))]]], (4692 ^ _81879) ^ [_180283, _180285, _180287] : [-(c_Relation_Orefl__on(_180283, _180285, _180287)), c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_180283, _180283), tc_HOL_Obool), _180287, c_Product__Type_OSigma(_180283, _180283, _180285, c_COMBK(tc_fun(_180283, tc_HOL_Obool), _180283, _180285))), 4698 ^ _81879 : [(4699 ^ _81879) ^ [] : [-(hBOOL(hAPP(hAPP(c_member(_180283), 4697 ^ [_180283, _180285, _180287]), _180285)))], (4701 ^ _81879) ^ [] : [hBOOL(hAPP(hAPP(c_member(tc_prod(_180283, _180283)), hAPP(hAPP(c_Product__Type_OPair(_180283, _180283), 4697 ^ [_180283, _180285, _180287]), 4697 ^ [_180283, _180285, _180287])), _180287))]]], (4705 ^ _81879) ^ [_180608, _180610, _180612, _180614, _180616, _180618] : [hBOOL(hAPP(hAPP(c_member(_180608), _180610), _180612)), hBOOL(hAPP(hAPP(c_member(_180614), _180616), hAPP(_180618, _180610))), -(hBOOL(hAPP(hAPP(c_member(tc_prod(_180608, _180614)), hAPP(hAPP(c_Product__Type_OPair(_180608, _180614), _180610), _180616)), c_Product__Type_OSigma(_180608, _180614, _180612, _180618))))], (4715 ^ _81879) ^ [_180835, _180837, _180839, _180841, _180843, _180845] : [hBOOL(hAPP(hAPP(c_member(_180835), _180837), _180839)), 4718 ^ _81879 : [(4719 ^ _81879) ^ [] : [c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_180841, _180835), tc_HOL_Obool), c_Product__Type_OSigma(_180841, _180835, _180843, c_COMBK(tc_fun(_180835, tc_HOL_Obool), _180841, _180839)), c_Product__Type_OSigma(_180841, _180835, _180845, c_COMBK(tc_fun(_180835, tc_HOL_Obool), _180841, _180839))), -(c_Orderings_Oord__class_Oless__eq(tc_fun(_180841, tc_HOL_Obool), _180843, _180845))], (4725 ^ _81879) ^ [] : [c_Orderings_Oord__class_Oless__eq(tc_fun(_180841, tc_HOL_Obool), _180843, _180845), -(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_180841, _180835), tc_HOL_Obool), c_Product__Type_OSigma(_180841, _180835, _180843, c_COMBK(tc_fun(_180835, tc_HOL_Obool), _180841, _180839)), c_Product__Type_OSigma(_180841, _180835, _180845, c_COMBK(tc_fun(_180835, tc_HOL_Obool), _180841, _180839))))]]], (4731 ^ _81879) ^ [_181185, _181187, _181189, _181191, _181193, _181195] : [hBOOL(hAPP(hAPP(c_member(tc_prod(_181185, _181187)), hAPP(hAPP(c_Product__Type_OPair(_181185, _181187), _181189), _181191)), c_Product__Type_OSigma(_181185, _181187, _181193, _181195))), 4734 ^ _81879 : [(4735 ^ _81879) ^ [] : [-(hBOOL(hAPP(hAPP(c_member(_181185), _181189), _181193)))], (4737 ^ _81879) ^ [] : [-(hBOOL(hAPP(hAPP(c_member(_181187), _181191), hAPP(_181195, _181189))))]]], (4739 ^ _81879) ^ [_181382, _181384, _181386, _181388, _181390, _181392] : [hAPP(hAPP(c_Product__Type_OPair(_181382, _181384), _181386), _181388) = hAPP(hAPP(c_Product__Type_OPair(_181382, _181384), _181390), _181392), 4742 ^ _81879 : [(4743 ^ _81879) ^ [] : [-(_181386 = _181390)], (4745 ^ _81879) ^ [] : [-(_181388 = _181392)]]], (4747 ^ _81879) ^ [_181560, _181562, _181564, _181566, _181568, _181570] : [hAPP(hAPP(c_Product__Type_OPair(_181560, _181562), _181564), _181566) = hAPP(hAPP(c_Product__Type_OPair(_181560, _181562), _181568), _181570), 4750 ^ _81879 : [(4751 ^ _81879) ^ [] : [-(_181564 = _181568)], (4753 ^ _81879) ^ [] : [-(_181566 = _181570)]]], (4755 ^ _81879) ^ [_181703, _181705, _181707, _181709, _181711, _181713] : [-(hAPP(hAPP(c_Product__Type_OPair(_181703, _181705), _181707), _181709) = hAPP(hAPP(c_Product__Type_OPair(_181703, _181705), _181711), _181713)), _181707 = _181711, _181709 = _181713], (4765 ^ _81879) ^ [_181904, _181906, _181908] : [hBOOL(hAPP(_181904, 4766 ^ [_181904, _181906, _181908])), 4769 ^ _81879 : [(4770 ^ _81879) ^ [_182015, _182017] : [-(hBOOL(hAPP(_181904, hAPP(hAPP(c_Product__Type_OPair(_181906, _181908), _182017), _182015))))]]], (4772 ^ _81879) ^ [_182051, _182053, _182055] : [hBOOL(hAPP(_182051, hAPP(hAPP(c_Product__Type_OPair(_182053, _182055), 4773 ^ [_182051, _182053, _182055]), 4774 ^ [_182051, _182053, _182055]))), 4777 ^ _81879 : [(4778 ^ _81879) ^ [_182198] : [-(hBOOL(hAPP(_182051, _182198)))]]], (4780 ^ _81879) ^ [_182229, _182231, _182233, _182235, _182237, _182239] : [hBOOL(hAPP(hAPP(c_member(_182229), _182231), _182233)), 4783 ^ _81879 : [(4784 ^ _81879) ^ [] : [c_Product__Type_OSigma(_182235, _182229, _182237, c_COMBK(tc_fun(_182229, tc_HOL_Obool), _182235, _182233)) = c_Product__Type_OSigma(_182235, _182229, _182239, c_COMBK(tc_fun(_182229, tc_HOL_Obool), _182235, _182233)), -(_182237 = _182239)], (4790 ^ _81879) ^ [] : [_182237 = _182239, -(c_Product__Type_OSigma(_182235, _182229, _182237, c_COMBK(tc_fun(_182229, tc_HOL_Obool), _182235, _182233)) = c_Product__Type_OSigma(_182235, _182229, _182239, c_COMBK(tc_fun(_182229, tc_HOL_Obool), _182235, _182233)))]]], (4796 ^ _81879) ^ [_182546, _182548, _182550, _182552, _182554] : [-(c_Product__Type_OSigma(_182546, _182548, _182550, hAPP(hAPP(c_COMBS(_182546, tc_fun(_182548, tc_HOL_Obool), tc_fun(_182548, tc_HOL_Obool)), hAPP(c_COMBB(tc_fun(_182548, tc_HOL_Obool), tc_fun(tc_fun(_182548, tc_HOL_Obool), tc_fun(_182548, tc_HOL_Obool)), _182546, c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_182548, tc_HOL_Obool))), _182552)), _182554)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(_182546, _182548), tc_HOL_Obool)), c_Product__Type_OSigma(_182546, _182548, _182550, _182552)), c_Product__Type_OSigma(_182546, _182548, _182550, _182554)))], (4798 ^ _81879) ^ [_182647, _182649, _182651, _182653, _182655] : [-(c_Product__Type_OSigma(_182647, _182649, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_182647, tc_HOL_Obool)), _182651), _182653), c_COMBK(tc_fun(_182649, tc_HOL_Obool), _182647, _182655)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(_182647, _182649), tc_HOL_Obool)), c_Product__Type_OSigma(_182647, _182649, _182651, c_COMBK(tc_fun(_182649, tc_HOL_Obool), _182647, _182655))), c_Product__Type_OSigma(_182647, _182649, _182653, c_COMBK(tc_fun(_182649, tc_HOL_Obool), _182647, _182655))))], (4800 ^ _81879) ^ [_182739, _182741, _182743, _182745, _182747] : [-(c_Product__Type_OSigma(_182739, _182741, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_182739, tc_HOL_Obool)), _182743), _182745), _182747) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(_182739, _182741), tc_HOL_Obool)), c_Product__Type_OSigma(_182739, _182741, _182743, _182747)), c_Product__Type_OSigma(_182739, _182741, _182745, _182747)))], (4802 ^ _81879) ^ [_182837, _182839, _182841, _182843, _182845, _182847] : [hBOOL(hAPP(hAPP(c_member(tc_prod(_182837, _182839)), hAPP(hAPP(c_Product__Type_OPair(_182837, _182839), _182841), _182843)), c_Product__Type_OSigma(_182837, _182839, _182845, _182847))), 4805 ^ _81879 : [(4806 ^ _81879) ^ [] : [-(hBOOL(hAPP(hAPP(c_member(_182837), _182841), _182845)))], (4808 ^ _81879) ^ [] : [-(hBOOL(hAPP(hAPP(c_member(_182839), _182843), hAPP(_182847, _182841))))]]], (4810 ^ _81879) ^ [_183026, _183028, _183030, _183032, _183034, _183036] : [-(hBOOL(hAPP(hAPP(c_member(tc_prod(_183026, _183028)), hAPP(hAPP(c_Product__Type_OPair(_183026, _183028), _183030), _183032)), c_Product__Type_OSigma(_183026, _183028, _183034, _183036)))), hBOOL(hAPP(hAPP(c_member(_183026), _183030), _183034)), hBOOL(hAPP(hAPP(c_member(_183028), _183032), hAPP(_183036, _183030)))], (4820 ^ _81879) ^ [_183255, _183257, _183259, _183261, _183263, _183265] : [hBOOL(hAPP(hAPP(c_member(tc_prod(_183255, _183257)), hAPP(hAPP(c_Product__Type_OPair(_183255, _183257), _183259), _183261)), c_Product__Type_OSigma(_183255, _183257, _183263, _183265))), -(hBOOL(hAPP(hAPP(c_member(_183255), _183259), _183263)))], (4826 ^ _81879) ^ [_183402, _183404, _183406, _183408, _183410, _183412] : [hBOOL(hAPP(hAPP(c_member(tc_prod(_183402, _183404)), hAPP(hAPP(c_Product__Type_OPair(_183402, _183404), _183406), _183408)), c_Product__Type_OSigma(_183402, _183404, _183410, _183412))), -(hBOOL(hAPP(hAPP(c_member(_183404), _183408), hAPP(_183412, _183406))))], (4832 ^ _81879) ^ [_183555, _183557, _183559] : [c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_183555, _183555), tc_HOL_Obool), _183557, c_Product__Type_OSigma(_183555, _183555, _183559, c_COMBK(tc_fun(_183555, tc_HOL_Obool), _183555, _183559))), 4838 ^ _81879 : [(4839 ^ _81879) ^ [] : [-(hBOOL(hAPP(hAPP(c_member(_183555), 4837 ^ [_183555, _183557, _183559]), _183559)))], (4841 ^ _81879) ^ [] : [hBOOL(hAPP(hAPP(c_member(tc_prod(_183555, _183555)), hAPP(hAPP(c_Product__Type_OPair(_183555, _183555), 4837 ^ [_183555, _183557, _183559]), 4837 ^ [_183555, _183557, _183559])), _183557))]], -(c_Relation_Orefl__on(_183555, _183559, _183557))], (4845 ^ _81879) ^ [_183878, _183880, _183882, _183884, _183886, _183888] : [-(c_Product__Type_Oprod_Oprod__rec(_183878, _183880, _183882, _183884, hAPP(hAPP(c_Product__Type_OPair(_183878, _183880), _183886), _183888)) = hAPP(hAPP(_183884, _183886), _183888))], (4847 ^ _81879) ^ [_183932, _183934, _183936, _183938, _183940] : [hBOOL(hAPP(hAPP(c_member(tc_prod(_183932, _183934)), _183936), c_Product__Type_OSigma(_183932, _183934, _183938, _183940))), 4851 ^ _81879 : [(4852 ^ _81879) ^ [] : [-(hBOOL(hAPP(hAPP(c_member(_183932), 4850 ^ [_183932, _183934, _183936, _183938, _183940]), _183938)))], (4855 ^ _81879) ^ [] : [-(hBOOL(hAPP(hAPP(c_member(_183934), 4853 ^ [_183932, _183934, _183936, _183938, _183940]), hAPP(_183940, 4850 ^ [_183932, _183934, _183936, _183938, _183940]))))], (4857 ^ _81879) ^ [] : [-(_183936 = hAPP(hAPP(c_Product__Type_OPair(_183932, _183934), 4850 ^ [_183932, _183934, _183936, _183938, _183940]), 4853 ^ [_183932, _183934, _183936, _183938, _183940]))]]], (4859 ^ _81879) ^ [_184226, _184228, _184230, _184232, _184234, _184236] : [c_Orderings_Oord__class_Oless__eq(tc_fun(_184226, tc_HOL_Obool), _184228, _184230), 4865 ^ _81879 : [(4866 ^ _81879) ^ [] : [-(hBOOL(hAPP(hAPP(c_member(_184226), 4864 ^ [_184226, _184228, _184230, _184232, _184234, _184236]), _184228)))], (4868 ^ _81879) ^ [] : [c_Orderings_Oord__class_Oless__eq(tc_fun(_184232, tc_HOL_Obool), hAPP(_184234, 4864 ^ [_184226, _184228, _184230, _184232, _184234, _184236]), hAPP(_184236, 4864 ^ [_184226, _184228, _184230, _184232, _184234, _184236]))]], -(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_184226, _184232), tc_HOL_Obool), c_Product__Type_OSigma(_184226, _184232, _184228, _184234), c_Product__Type_OSigma(_184226, _184232, _184230, _184236)))], (4872 ^ _81879) ^ [_184559, _184561, _184563, _184565, _184567, _184569] : [-(c_Product__Type_Ointernal__split(_184559, _184561, _184563, _184565, hAPP(hAPP(c_Product__Type_OPair(_184559, _184561), _184567), _184569)) = hAPP(hAPP(_184565, _184567), _184569))], (4874 ^ _81879) ^ [_184613, _184615, _184617, _184619, _184621, _184623] : [-(c_Product__Type_OSigma(_184613, _184615, c_Set_Oinsert(_184613, _184617, _184619), c_COMBK(tc_fun(_184615, tc_HOL_Obool), _184613, c_Set_Oinsert(_184615, _184621, _184623))) = c_Set_Oinsert(tc_prod(_184613, _184615), hAPP(hAPP(c_Product__Type_OPair(_184613, _184615), _184617), _184621), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_184613, _184615), tc_HOL_Obool)), c_Product__Type_OSigma(_184613, _184615, _184619, c_COMBK(tc_fun(_184615, tc_HOL_Obool), _184613, c_Set_Oinsert(_184615, _184621, _184623)))), c_Product__Type_OSigma(_184613, _184615, c_Set_Oinsert(_184613, _184617, _184619), c_COMBK(tc_fun(_184615, tc_HOL_Obool), _184613, _184623)))))], (4876 ^ _81879) ^ [_184742, _184744, _184746, _184748] : [hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_184742, tc_HOL_Obool)), _184744), _184746), _184748)), -(hBOOL(hAPP(_184744, _184748))), -(hBOOL(hAPP(_184746, _184748)))], (4886 ^ _81879) ^ [_185120, _185122, _185124, _185126] : [4887 ^ _81879 : [(4888 ^ _81879) ^ [] : [hBOOL(hAPP(_185120, _185122))], (4890 ^ _81879) ^ [] : [hBOOL(hAPP(_185124, _185122))]], -(hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_185126, tc_HOL_Obool)), _185124), _185120), _185122)))], (4894 ^ _81879) ^ [_185484, _185486, _185488, _185490] : [4895 ^ _81879 : [(4896 ^ _81879) ^ [] : [hBOOL(hAPP(hAPP(c_member(_185484), _185486), _185488))], (4898 ^ _81879) ^ [] : [hBOOL(hAPP(hAPP(c_member(_185484), _185486), _185490))]], -(hBOOL(hAPP(hAPP(c_member(_185484), _185486), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_185484, tc_HOL_Obool)), _185490), _185488))))], (4902 ^ _81879) ^ [_185878, _185880, _185882, _185884] : [hBOOL(hAPP(hAPP(c_member(_185878), _185880), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_185878, tc_HOL_Obool)), _185882), _185884))), -(hBOOL(hAPP(hAPP(c_member(_185878), _185880), _185882))), -(hBOOL(hAPP(hAPP(c_member(_185878), _185880), _185884)))], (4912 ^ _81879) ^ [_186291, _186293, _186295, _186297, _186299] : [-(c_Product__Type_OSigma(_186291, _186293, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_186291, tc_HOL_Obool)), _186295), _186297), _186299) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_186291, _186293), tc_HOL_Obool)), c_Product__Type_OSigma(_186291, _186293, _186295, _186299)), c_Product__Type_OSigma(_186291, _186293, _186297, _186299)))], (4914 ^ _81879) ^ [_186473, _186475, _186477, _186479, _186481] : [-(c_Product__Type_OSigma(_186473, _186475, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_186473, tc_HOL_Obool)), _186477), _186479), c_COMBK(tc_fun(_186475, tc_HOL_Obool), _186473, _186481)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_186473, _186475), tc_HOL_Obool)), c_Product__Type_OSigma(_186473, _186475, _186477, c_COMBK(tc_fun(_186475, tc_HOL_Obool), _186473, _186481))), c_Product__Type_OSigma(_186473, _186475, _186479, c_COMBK(tc_fun(_186475, tc_HOL_Obool), _186473, _186481))))], (4916 ^ _81879) ^ [_186676, _186678, _186680, _186682, _186684] : [-(c_Product__Type_OSigma(_186676, _186678, _186680, hAPP(hAPP(c_COMBS(_186676, tc_fun(_186678, tc_HOL_Obool), tc_fun(_186678, tc_HOL_Obool)), hAPP(c_COMBB(tc_fun(_186678, tc_HOL_Obool), tc_fun(tc_fun(_186678, tc_HOL_Obool), tc_fun(_186678, tc_HOL_Obool)), _186676, c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_186678, tc_HOL_Obool))), _186682)), _186684)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_186676, _186678), tc_HOL_Obool)), c_Product__Type_OSigma(_186676, _186678, _186680, _186682)), c_Product__Type_OSigma(_186676, _186678, _186680, _186684)))], (4918 ^ _81879) ^ [_186860, _186862, _186864] : [-(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_186860, _186860), tc_HOL_Obool), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_186860, _186860), tc_HOL_Obool)), c_Transitive__Closure_Ortrancl(_186860, _186862)), c_Transitive__Closure_Ortrancl(_186860, _186864)), c_Transitive__Closure_Ortrancl(_186860, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_186860, _186860), tc_HOL_Obool)), _186862), _186864))))], (4920 ^ _81879) ^ [_187014, _187016, _187018] : [-(c_Orderings_Oord__class_Oless__eq(tc_fun(_187014, tc_HOL_Obool), _187016, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_187014, tc_HOL_Obool)), _187016), _187018)))], (4922 ^ _81879) ^ [_187139, _187141, _187143] : [-(c_Orderings_Oord__class_Oless__eq(tc_fun(_187139, tc_HOL_Obool), _187141, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_187139, tc_HOL_Obool)), _187143), _187141)))], (4924 ^ _81879) ^ [_187308, _187310, _187312] : [c_Orderings_Oord__class_Oless__eq(tc_fun(_187308, tc_HOL_Obool), _187310, _187312), -(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_187308, tc_HOL_Obool)), _187310), _187312) = _187312)], (4930 ^ _81879) ^ [_187506, _187508, _187510] : [hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_187506, tc_HOL_Obool)), _187508), _187510) = _187510, -(c_Orderings_Oord__class_Oless__eq(tc_fun(_187506, tc_HOL_Obool), _187508, _187510))], (4936 ^ _81879) ^ [_187768, _187770, _187772] : [c_Orderings_Oord__class_Oless__eq(tc_fun(_187768, tc_HOL_Obool), _187770, _187772), -(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_187768, tc_HOL_Obool)), _187770), _187772) = _187772)], (4942 ^ _81879) ^ [_188028, _188030, _188032] : [c_Orderings_Oord__class_Oless__eq(tc_fun(_188028, tc_HOL_Obool), _188030, _188032), -(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_188028, tc_HOL_Obool)), _188032), _188030) = _188032)], (4948 ^ _81879) ^ [_188302, _188304, _188306, _188308] : [c_Orderings_Oord__class_Oless__eq(tc_fun(_188302, tc_HOL_Obool), _188304, _188306), c_Orderings_Oord__class_Oless__eq(tc_fun(_188302, tc_HOL_Obool), _188308, _188306), -(c_Orderings_Oord__class_Oless__eq(tc_fun(_188302, tc_HOL_Obool), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_188302, tc_HOL_Obool)), _188304), _188308), _188306))], (4958 ^ _81879) ^ [_188709, _188711, _188713, _188715, _188717] : [c_Orderings_Oord__class_Oless__eq(tc_fun(_188709, tc_HOL_Obool), _188711, _188713), c_Orderings_Oord__class_Oless__eq(tc_fun(_188709, tc_HOL_Obool), _188715, _188717), -(c_Orderings_Oord__class_Oless__eq(tc_fun(_188709, tc_HOL_Obool), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_188709, tc_HOL_Obool)), _188711), _188715), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_188709, tc_HOL_Obool)), _188713), _188717)))], (4968 ^ _81879) ^ [_189120, _189122, _189124] : [class_Lattices_Olattice(_189120), -(c_Orderings_Oord__class_Oless__eq(_189120, _189122, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_189120), _189122), _189124)))], (4974 ^ _81879) ^ [_189366, _189368, _189370] : [class_Lattices_Osemilattice__sup(_189366), -(c_Orderings_Oord__class_Oless__eq(_189366, _189368, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_189366), _189368), _189370)))], (4980 ^ _81879) ^ [_189612, _189614, _189616] : [class_Lattices_Olattice(_189612), -(c_Orderings_Oord__class_Oless__eq(_189612, _189614, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_189612), _189616), _189614)))], (4986 ^ _81879) ^ [_189858, _189860, _189862] : [class_Lattices_Osemilattice__sup(_189858), -(c_Orderings_Oord__class_Oless__eq(_189858, _189860, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_189858), _189862), _189860)))], (4992 ^ _81879) ^ [_190104, _190106, _190108] : [class_Lattices_Osemilattice__sup(_190104), 4995 ^ _81879 : [(4996 ^ _81879) ^ [] : [c_Orderings_Oord__class_Oless__eq(_190104, _190106, _190108), -(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_190104), _190106), _190108) = _190108)], (5002 ^ _81879) ^ [] : [hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_190104), _190106), _190108) = _190108, -(c_Orderings_Oord__class_Oless__eq(_190104, _190106, _190108))]]], (5008 ^ _81879) ^ [_190633, _190635, _190637, _190639] : [class_Lattices_Osemilattice__sup(_190633), 5011 ^ _81879 : [(5012 ^ _81879) ^ [] : [c_Orderings_Oord__class_Oless__eq(_190633, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_190633), _190635), _190637), _190639), 5015 ^ _81879 : [(5016 ^ _81879) ^ [] : [-(c_Orderings_Oord__class_Oless__eq(_190633, _190635, _190639))], (5018 ^ _81879) ^ [] : [-(c_Orderings_Oord__class_Oless__eq(_190633, _190637, _190639))]]], (5020 ^ _81879) ^ [] : [-(c_Orderings_Oord__class_Oless__eq(_190633, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_190633), _190635), _190637), _190639)), c_Orderings_Oord__class_Oless__eq(_190633, _190635, _190639), c_Orderings_Oord__class_Oless__eq(_190633, _190637, _190639)]]], (5030 ^ _81879) ^ [_191354, _191356, _191358, _191360] : [class_Lattices_Osemilattice__sup(_191354), c_Orderings_Oord__class_Oless__eq(_191354, _191356, _191358), -(c_Orderings_Oord__class_Oless__eq(_191354, _191356, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_191354), _191358), _191360)))], (5040 ^ _81879) ^ [_191719, _191721, _191723, _191725] : [class_Lattices_Osemilattice__sup(_191719), c_Orderings_Oord__class_Oless__eq(_191719, _191721, _191723), -(c_Orderings_Oord__class_Oless__eq(_191719, _191721, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_191719), _191725), _191723)))], (5050 ^ _81879) ^ [_192070, _192072, _192074] : [class_Lattices_Osemilattice__sup(_192070), c_Orderings_Oord__class_Oless__eq(_192070, _192072, _192074), -(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_192070), _192072), _192074) = _192074)], (5060 ^ _81879) ^ [_192409, _192411, _192413] : [class_Lattices_Osemilattice__sup(_192409), c_Orderings_Oord__class_Oless__eq(_192409, _192411, _192413), -(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_192409), _192413), _192411) = _192413)], (5070 ^ _81879) ^ [_192762, _192764, _192766, _192768] : [class_Lattices_Osemilattice__sup(_192762), c_Orderings_Oord__class_Oless__eq(_192762, _192764, _192766), c_Orderings_Oord__class_Oless__eq(_192762, _192768, _192766), -(c_Orderings_Oord__class_Oless__eq(_192762, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_192762), _192764), _192768), _192766))], (5084 ^ _81879) ^ [_193226, _193228, _193230, _193232] : [class_Lattices_Osemilattice__sup(_193226), c_Orderings_Oord__class_Oless__eq(_193226, _193228, _193230), c_Orderings_Oord__class_Oless__eq(_193226, _193232, _193230), -(c_Orderings_Oord__class_Oless__eq(_193226, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_193226), _193228), _193232), _193230))], (5098 ^ _81879) ^ [_193704, _193706, _193708, _193710, _193712] : [class_Lattices_Osemilattice__sup(_193704), c_Orderings_Oord__class_Oless__eq(_193704, _193706, _193708), c_Orderings_Oord__class_Oless__eq(_193704, _193710, _193712), -(c_Orderings_Oord__class_Oless__eq(_193704, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_193704), _193706), _193710), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_193704), _193708), _193712)))], (5112 ^ _81879) ^ [_194198, _194200, _194202, _194204] : [class_Lattices_Osemilattice__sup(_194198), c_Orderings_Oord__class_Oless__eq(_194198, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_194198), _194200), _194202), _194204), 5119 ^ _81879 : [(5120 ^ _81879) ^ [] : [-(c_Orderings_Oord__class_Oless__eq(_194198, _194200, _194204))], (5122 ^ _81879) ^ [] : [-(c_Orderings_Oord__class_Oless__eq(_194198, _194202, _194204))]]], (5124 ^ _81879) ^ [_194648, _194650, _194652, _194654] : [class_Lattices_Olattice(_194648), -(c_Orderings_Oord__class_Oless__eq(_194648, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_194648), _194650), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_194648), _194652), _194654)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_194648), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_194648), _194650), _194652)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_194648), _194650), _194654))))], (5130 ^ _81879) ^ [_194978, _194980, _194982, _194984] : [class_Lattices_Olattice(_194978), -(c_Orderings_Oord__class_Oless__eq(_194978, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_194978), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_194978), _194980), _194982)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_194978), _194980), _194984)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_194978), _194980), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_194978), _194982), _194984))))], (5136 ^ _81879) ^ [_195337, _195339, _195341, _195343] : [hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_195337, tc_HOL_Obool)), hAPP(hAPP(c_COMBC(_195337, tc_fun(_195337, tc_HOL_Obool), tc_HOL_Obool), c_member(_195337)), _195339)), hAPP(hAPP(c_COMBC(_195337, tc_fun(_195337, tc_HOL_Obool), tc_HOL_Obool), c_member(_195337)), _195341)), _195343)), -(hBOOL(hAPP(hAPP(c_member(_195337), _195343), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_195337, tc_HOL_Obool)), _195339), _195341))))], (5142 ^ _81879) ^ [_195633, _195635, _195637, _195639] : [hBOOL(hAPP(hAPP(c_member(_195633), _195639), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_195633, tc_HOL_Obool)), _195635), _195637))), -(hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_195633, tc_HOL_Obool)), hAPP(hAPP(c_COMBC(_195633, tc_fun(_195633, tc_HOL_Obool), tc_HOL_Obool), c_member(_195633)), _195635)), hAPP(hAPP(c_COMBC(_195633, tc_fun(_195633, tc_HOL_Obool), tc_HOL_Obool), c_member(_195633)), _195637)), _195639)))], (5148 ^ _81879) ^ [_195978, _195980, _195982] : [-(c_Transitive__Closure_Ortrancl(_195978, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_195978, _195978), tc_HOL_Obool)), c_Transitive__Closure_Ortrancl(_195978, _195980)), c_Transitive__Closure_Ortrancl(_195978, _195982))) = c_Transitive__Closure_Ortrancl(_195978, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_195978, _195978), tc_HOL_Obool)), _195980), _195982)))], (5150 ^ _81879) ^ [_196171, _196173, _196175, _196177, _196179] : [c_Relation_Orefl__on(_196171, _196173, _196175), c_Relation_Orefl__on(_196171, _196177, _196179), -(c_Relation_Orefl__on(_196171, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_196171, tc_HOL_Obool)), _196173), _196177), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_196171, _196171), tc_HOL_Obool)), _196175), _196179)))], (5160 ^ _81879) ^ [_196584, _196586, _196588, _196590] : [class_Lattices_Odistrib__lattice(_196584), -(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_196584), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_196584), _196586), _196588)), _196590) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_196584), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_196584), _196586), _196590)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_196584), _196588), _196590)))], (5166 ^ _81879) ^ [_196912, _196914, _196916, _196918] : [class_Lattices_Odistrib__lattice(_196912), -(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_196912), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_196912), _196914), _196916)), _196918) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_196912), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_196912), _196914), _196918)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_196912), _196916), _196918)))], (5172 ^ _81879) ^ [_197240, _197242, _197244, _197246] : [class_Lattices_Odistrib__lattice(_197240), -(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_197240), _197242), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_197240), _197244), _197246)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_197240), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_197240), _197242), _197244)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_197240), _197242), _197246)))], (5178 ^ _81879) ^ [_197568, _197570, _197572, _197574] : [class_Lattices_Odistrib__lattice(_197568), -(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_197568), _197570), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_197568), _197572), _197574)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_197568), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_197568), _197570), _197572)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_197568), _197570), _197574)))], (5184 ^ _81879) ^ [_197882, _197884, _197886] : [class_Lattices_Olattice(_197882), -(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_197882), _197884), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_197882), _197884), _197886)) = _197884)], (5190 ^ _81879) ^ [_198142, _198144, _198146] : [class_Lattices_Olattice(_198142), -(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_198142), _198144), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_198142), _198144), _198146)) = _198144)], (5196 ^ _81879) ^ [_198401, _198403, _198405, _198407] : [-(c_Relation_ORange(_198401, _198403, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_198401, _198403), tc_HOL_Obool)), _198405), _198407)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_198403, tc_HOL_Obool)), c_Relation_ORange(_198401, _198403, _198405)), c_Relation_ORange(_198401, _198403, _198407)))], (5198 ^ _81879) ^ [_198579, _198581, _198583, _198585] : [hBOOL(hAPP(_198579, _198581)), -(hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_198583, tc_HOL_Obool)), _198579), _198585), _198581)))], (5204 ^ _81879) ^ [_198859, _198861, _198863, _198865] : [hBOOL(hAPP(_198859, _198861)), -(hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_198863, tc_HOL_Obool)), _198865), _198859), _198861)))], (5210 ^ _81879) ^ [_199096, _199098] : [-(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_199096, tc_HOL_Obool)), _199098), _199098) = _199098)], (5212 ^ _81879) ^ [_199215, _199217, _199219] : [-(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_199215, tc_HOL_Obool)), _199217), _199219) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_199215, tc_HOL_Obool)), _199219), _199217))], (5214 ^ _81879) ^ [_199347, _199349, _199351] : [-(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_199347, tc_HOL_Obool)), _199349), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_199347, tc_HOL_Obool)), _199349), _199351)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_199347, tc_HOL_Obool)), _199349), _199351))], (5216 ^ _81879) ^ [_199504, _199506, _199508, _199510] : [-(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_199504, tc_HOL_Obool)), _199506), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_199504, tc_HOL_Obool)), _199508), _199510)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_199504, tc_HOL_Obool)), _199508), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_199504, tc_HOL_Obool)), _199506), _199510)))], (5218 ^ _81879) ^ [_199674, _199676, _199678, _199680] : [-(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_199674, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_199674, tc_HOL_Obool)), _199676), _199678)), _199680) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_199674, tc_HOL_Obool)), _199676), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_199674, tc_HOL_Obool)), _199678), _199680)))], (5220 ^ _81879) ^ [_199888, _199890, _199892, _199894] : [5221 ^ _81879 : [(5222 ^ _81879) ^ [_200050] : [hBOOL(hAPP(hAPP(c_member(_199888), _200050), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_199888, tc_HOL_Obool)), _199890), _199892))), hBOOL(hAPP(_199894, _200050))]], 5230 ^ _81879 : [(5231 ^ _81879) ^ [] : [-(hBOOL(hAPP(hAPP(c_member(_199888), 5229 ^ [_199888, _199890, _199892, _199894]), _199890)))], (5233 ^ _81879) ^ [] : [-(hBOOL(hAPP(_199894, 5229 ^ [_199888, _199890, _199892, _199894])))]], 5235 ^ _81879 : [(5236 ^ _81879) ^ [] : [-(hBOOL(hAPP(hAPP(c_member(_199888), 5234 ^ [_199888, _199890, _199892, _199894]), _199892)))], (5238 ^ _81879) ^ [] : [-(hBOOL(hAPP(_199894, 5234 ^ [_199888, _199890, _199892, _199894])))]]], (5240 ^ _81879) ^ [_200768, _200770, _200772, _200774] : [5254 ^ _81879 : [(5255 ^ _81879) ^ [] : [-(hBOOL(hAPP(hAPP(c_member(_200768), 5253 ^ [_200768, _200770, _200772, _200774]), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_200768, tc_HOL_Obool)), _200770), _200772))))], (5257 ^ _81879) ^ [] : [-(hBOOL(hAPP(_200774, 5253 ^ [_200768, _200770, _200772, _200774])))]], 5241 ^ _81879 : [(5242 ^ _81879) ^ [_200950] : [hBOOL(hAPP(hAPP(c_member(_200768), _200950), _200770)), hBOOL(hAPP(_200774, _200950))], (5248 ^ _81879) ^ [_201169] : [hBOOL(hAPP(hAPP(c_member(_200768), _201169), _200772)), hBOOL(hAPP(_200774, _201169))]]], (5278 ^ _81879) ^ [_202590, _202592, _202594, _202596] : [5282 ^ _81879 : [(5283 ^ _81879) ^ [] : [-(hBOOL(hAPP(hAPP(c_member(_202590), 5281 ^ [_202590, _202592, _202594, _202596]), _202592)))], (5285 ^ _81879) ^ [] : [hBOOL(hAPP(_202596, 5281 ^ [_202590, _202592, _202594, _202596]))]], 5287 ^ _81879 : [(5288 ^ _81879) ^ [] : [-(hBOOL(hAPP(hAPP(c_member(_202590), 5286 ^ [_202590, _202592, _202594, _202596]), _202594)))], (5290 ^ _81879) ^ [] : [hBOOL(hAPP(_202596, 5286 ^ [_202590, _202592, _202594, _202596]))]], 5291 ^ _81879 : [(5292 ^ _81879) ^ [_203236] : [hBOOL(hAPP(hAPP(c_member(_202590), _203236), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_202590, tc_HOL_Obool)), _202592), _202594))), -(hBOOL(hAPP(_202596, _203236)))]]], (5259 ^ _81879) ^ [_201732, _201734, _201736, _201738] : [5261 ^ _81879 : [(5262 ^ _81879) ^ [] : [-(hBOOL(hAPP(hAPP(c_member(_201732), 5260 ^ [_201732, _201734, _201736, _201738]), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_201732, tc_HOL_Obool)), _201734), _201736))))], (5264 ^ _81879) ^ [] : [hBOOL(hAPP(_201738, 5260 ^ 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_209056), _209058)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_209052, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_209052, tc_HOL_Obool)), _209054), _209056)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_209052, tc_HOL_Obool)), _209054), _209058)))], (5406 ^ _81879) ^ [_209248, _209250, _209252, _209254] : [hBOOL(hAPP(hAPP(c_member(_209248), _209250), _209252)), -(hBOOL(hAPP(hAPP(c_member(_209248), _209250), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_209248, tc_HOL_Obool)), _209254), _209252))))], (5412 ^ _81879) ^ [_209548, _209550, _209552, _209554] : [hBOOL(hAPP(hAPP(c_member(_209548), _209550), _209552)), -(hBOOL(hAPP(hAPP(c_member(_209548), _209550), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_209548, tc_HOL_Obool)), _209552), _209554))))], (5428 ^ _81879) ^ [_210213, _210215, _210217, _210219] : [5429 ^ _81879 : [(5430 ^ _81879) ^ [] : [hBOOL(hAPP(hAPP(c_member(_210213), _210215), 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_81879) ^ [_211986, _211988, _211990] : [c_Wellfounded_Owf(_211986, _211988), c_Wellfounded_Owf(_211986, _211990), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_211986, tc_HOL_Obool)), c_Relation_ODomain(_211986, _211986, _211988)), c_Relation_ORange(_211986, _211986, _211990)) = c_Orderings_Obot__class_Obot(tc_fun(_211986, tc_HOL_Obool)), -(c_Wellfounded_Owf(_211986, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_211986, _211986), tc_HOL_Obool)), _211988), _211990)))], (5474 ^ _81879) ^ [_212506, _212508, _212510, _212512, _212514] : [hBOOL(hAPP(hAPP(c_member(tc_prod(_212506, _212506)), hAPP(hAPP(c_Product__Type_OPair(_212506, _212506), _212508), _212510)), c_Transitive__Closure_Ortrancl(_212506, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_212506, _212506), tc_HOL_Obool)), _212512), _212514)))), 5480 ^ _81879 : [(5481 ^ _81879) ^ [] : [-(hBOOL(hAPP(hAPP(c_member(tc_prod(_212506, _212506)), hAPP(hAPP(c_Product__Type_OPair(_212506, _212506), 5479 ^ [_212506, _212508, _212510, _212512, _212514]), _212510)), c_Transitive__Closure_Ortrancl(_212506, _212512))))], (5484 ^ _81879) ^ [] : [-(hBOOL(hAPP(hAPP(c_member(tc_prod(_212506, _212506)), hAPP(hAPP(c_Product__Type_OPair(_212506, _212506), 5482 ^ [_212506, _212508, _212510, _212512, _212514]), 5479 ^ [_212506, _212508, _212510, _212512, _212514])), _212514)))], (5486 ^ _81879) ^ [] : [5482 ^ [_212506, _212508, _212510, _212512, _212514] = 5479 ^ [_212506, _212508, _212510, _212512, _212514]]], -(hBOOL(hAPP(hAPP(c_member(tc_prod(_212506, _212506)), hAPP(hAPP(c_Product__Type_OPair(_212506, _212506), _212508), _212510)), c_Transitive__Closure_Ortrancl(_212506, _212512))))], (5490 ^ _81879) ^ [_213463] : [-(c_Wellfounded_Owf(_213463, c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_213463, _213463), tc_HOL_Obool))))], (5492 ^ _81879) ^ [_213562, _213564] : [hBOOL(hAPP(hAPP(c_member(_213562), _213564), c_Orderings_Obot__class_Obot(tc_fun(_213562, tc_HOL_Obool))))], (5494 ^ _81879) ^ [_213668, _213670] : [-(c_Orderings_Oord__class_Oless__eq(tc_fun(_213668, tc_HOL_Obool), c_Orderings_Obot__class_Obot(tc_fun(_213668, tc_HOL_Obool)), _213670))], (5496 ^ _81879) ^ [_213771, _213773] : [-(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_213771, tc_HOL_Obool)), c_Orderings_Obot__class_Obot(tc_fun(_213771, tc_HOL_Obool))), _213773) = _213773)], (5498 ^ _81879) ^ [_213881, _213883] : [-(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_213881, tc_HOL_Obool)), _213883), c_Orderings_Obot__class_Obot(tc_fun(_213881, tc_HOL_Obool))) = _213883)], (5500 ^ _81879) ^ [_214049, _214051, _214053] : [hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_214049, tc_HOL_Obool)), _214051), _214053) = c_Orderings_Obot__class_Obot(tc_fun(_214049, tc_HOL_Obool)), 5503 ^ _81879 : [(5504 ^ _81879) ^ [] : [-(_214051 = c_Orderings_Obot__class_Obot(tc_fun(_214049, tc_HOL_Obool)))], (5506 ^ _81879) ^ [] : [-(_214053 = c_Orderings_Obot__class_Obot(tc_fun(_214049, tc_HOL_Obool)))]]], (5508 ^ _81879) ^ [_214346, _214348, _214350] : [-(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_214346, tc_HOL_Obool)), _214348), _214350) = c_Orderings_Obot__class_Obot(tc_fun(_214346, tc_HOL_Obool))), _214348 = c_Orderings_Obot__class_Obot(tc_fun(_214346, tc_HOL_Obool)), _214350 = c_Orderings_Obot__class_Obot(tc_fun(_214346, tc_HOL_Obool))], (5518 ^ _81879) ^ [_214709, _214711] : [class_Lattices_Obounded__lattice__bot(_214709), -(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_214709), c_Orderings_Obot__class_Obot(_214709)), _214711) = _214711)], (5524 ^ _81879) ^ [_214937, _214939] : [class_Lattices_Obounded__lattice__bot(_214937), -(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_214937), _214939), c_Orderings_Obot__class_Obot(_214937)) = _214939)], (5530 ^ _81879) ^ [_215179, _215181, _215183] : [class_Lattices_Obounded__lattice__bot(_215179), 5533 ^ _81879 : [(5534 ^ _81879) ^ [] : [hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_215179), _215181), _215183) = c_Orderings_Obot__class_Obot(_215179), 5537 ^ _81879 : [(5538 ^ _81879) ^ [] : [-(_215181 = c_Orderings_Obot__class_Obot(_215179))], (5540 ^ _81879) ^ [] : [-(_215183 = c_Orderings_Obot__class_Obot(_215179))]]], (5542 ^ _81879) ^ [] : [-(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_215179), _215181), _215183) = c_Orderings_Obot__class_Obot(_215179)), _215181 = c_Orderings_Obot__class_Obot(_215179), _215183 = c_Orderings_Obot__class_Obot(_215179)]]], (5552 ^ _81879) ^ [_215858, _215860, _215862] : [-(c_Set_Oinsert(_215858, _215860, _215862) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_215858, tc_HOL_Obool)), c_Set_Oinsert(_215858, _215860, c_Orderings_Obot__class_Obot(tc_fun(_215858, tc_HOL_Obool)))), _215862))], (5554 ^ _81879) ^ [_216036, _216038, _216040] : [hBOOL(hAPP(hAPP(c_member(_216036), _216038), c_Set_Oinsert(_216036, _216040, c_Orderings_Obot__class_Obot(tc_fun(_216036, tc_HOL_Obool))))), -(_216038 = _216040)], (5560 ^ _81879) ^ [_216236, _216238, _216240] : [_216238 = _216240, -(hBOOL(hAPP(hAPP(c_member(_216236), _216238), c_Set_Oinsert(_216236, _216240, c_Orderings_Obot__class_Obot(tc_fun(_216236, tc_HOL_Obool))))))], (5566 ^ _81879) ^ [_216500, _216502, _216504] : [hBOOL(hAPP(hAPP(c_member(_216500), _216502), c_Set_Oinsert(_216500, _216504, c_Orderings_Obot__class_Obot(tc_fun(_216500, tc_HOL_Obool))))), -(_216502 = _216504)], (5572 ^ _81879) ^ [_216747, _216749, _216751] : [-(c_FuncSet_Oextensional__funcset(_216747, _216749, c_Orderings_Obot__class_Obot(tc_fun(_216747, tc_HOL_Obool)), _216751) = c_Set_Oinsert(tc_fun(_216747, _216749), c_COMBK(_216749, _216747, c_HOL_Oundefined(_216749)), c_Orderings_Obot__class_Obot(tc_fun(tc_fun(_216747, _216749), tc_HOL_Obool))))], (5574 ^ _81879) ^ [_216874, _216876] : [-(c_FuncSet_Oextensional(_216874, _216876, c_Orderings_Obot__class_Obot(tc_fun(_216874, tc_HOL_Obool))) = c_Set_Oinsert(tc_fun(_216874, _216876), c_COMBK(_216876, _216874, c_HOL_Oundefined(_216876)), c_Orderings_Obot__class_Obot(tc_fun(tc_fun(_216874, _216876), tc_HOL_Obool))))], (5576 ^ _81879) ^ [_217011, _217013, _217015] : [c_Orderings_Obot__class_Obot(tc_fun(_217011, tc_HOL_Obool)) = c_Set_Oinsert(_217011, _217013, _217015)], (5578 ^ _81879) ^ [_217129, _217131, _217133] : [c_Set_Oinsert(_217129, _217131, _217133) = c_Orderings_Obot__class_Obot(tc_fun(_217129, tc_HOL_Obool))], (5580 ^ _81879) ^ [_217320, _217322, _217324, _217326, _217328] : [c_Set_Oinsert(_217320, _217322, c_Set_Oinsert(_217320, _217324, c_Orderings_Obot__class_Obot(tc_fun(_217320, tc_HOL_Obool)))) = c_Set_Oinsert(_217320, _217326, c_Set_Oinsert(_217320, _217328, c_Orderings_Obot__class_Obot(tc_fun(_217320, tc_HOL_Obool)))), 5585 ^ _81879 : [(5586 ^ _81879) ^ [] : [-(_217322 = _217326)], (5588 ^ _81879) ^ [] : [-(_217324 = _217328)]], 5589 ^ _81879 : [(5590 ^ _81879) ^ [] : [-(_217322 = _217328)], (5592 ^ _81879) ^ [] : [-(_217324 = _217326)]]], (5594 ^ _81879) ^ [_217816, _217818, _217820, _217822, _217824] : [-(c_Set_Oinsert(_217816, _217818, c_Set_Oinsert(_217816, _217820, c_Orderings_Obot__class_Obot(tc_fun(_217816, tc_HOL_Obool)))) = c_Set_Oinsert(_217816, _217822, c_Set_Oinsert(_217816, _217824, c_Orderings_Obot__class_Obot(tc_fun(_217816, tc_HOL_Obool))))), 5595 ^ _81879 : [(5596 ^ _81879) ^ [] : [_217818 = _217822, _217820 = _217824], (5602 ^ _81879) ^ [] : [_217818 = _217824, _217820 = _217822]]], (5610 ^ _81879) ^ [_218394, _218396, _218398] : [c_Set_Oinsert(_218394, _218396, c_Orderings_Obot__class_Obot(tc_fun(_218394, tc_HOL_Obool))) = c_Set_Oinsert(_218394, _218398, c_Orderings_Obot__class_Obot(tc_fun(_218394, tc_HOL_Obool))), -(_218396 = _218398)], (5616 ^ _81879) ^ [_218631, _218633] : [-(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_218631, tc_HOL_Obool)), c_Orderings_Obot__class_Obot(tc_fun(_218631, tc_HOL_Obool))), _218633) = c_Orderings_Obot__class_Obot(tc_fun(_218631, tc_HOL_Obool)))], (5618 ^ _81879) ^ [_218746, _218748] : [-(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_218746, tc_HOL_Obool)), _218748), c_Orderings_Obot__class_Obot(tc_fun(_218746, tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(_218746, tc_HOL_Obool)))], (5634 ^ _81879) ^ [_219506, _219508, _219510] : [5636 ^ _81879 : [(5637 ^ _81879) ^ [] : [-(hBOOL(hAPP(hAPP(c_member(_219506), 5635 ^ [_219506, _219508, _219510]), _219508)))], (5640 ^ _81879) ^ [] : [-(hBOOL(hAPP(hAPP(c_member(_219506), 5638 ^ [_219506, _219508, _219510]), _219510)))], (5642 ^ _81879) ^ [] : [-(5635 ^ [_219506, _219508, _219510] = 5638 ^ [_219506, _219508, _219510])]], -(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_219506, tc_HOL_Obool)), _219508), _219510) = c_Orderings_Obot__class_Obot(tc_fun(_219506, tc_HOL_Obool)))], (5620 ^ _81879) ^ [_218919, _218921, _218923] : [hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_218919, tc_HOL_Obool)), _218921), _218923) = c_Orderings_Obot__class_Obot(tc_fun(_218919, tc_HOL_Obool)), 5623 ^ _81879 : [(5624 ^ _81879) ^ [_219119] : [hBOOL(hAPP(hAPP(c_member(_218919), _219119), _218921)), 5627 ^ _81879 : [(5628 ^ _81879) ^ [_219293] : [hBOOL(hAPP(hAPP(c_member(_218919), _219293), _218923)), _219119 = _219293]]]]], (5646 ^ _81879) ^ [_220112] : [-(c_Transitive__Closure_Otrancl(_220112, c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_220112, _220112), tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_220112, _220112), tc_HOL_Obool)))], (5648 ^ _81879) ^ [_220267, _220269] : [-(hBOOL(hAPP(hAPP(c_member(_220267), 5649 ^ [_220267, _220269]), _220269))), -(_220269 = c_Orderings_Obot__class_Obot(tc_fun(_220267, tc_HOL_Obool)))], (5655 ^ _81879) ^ [_220522, _220524] : [_220524 = c_Orderings_Obot__class_Obot(tc_fun(_220522, tc_HOL_Obool)), 5658 ^ _81879 : [(5659 ^ _81879) ^ [_220656] : [hBOOL(hAPP(hAPP(c_member(_220522), _220656), _220524))]]], (5661 ^ _81879) ^ [_220810, _220812] : [5662 ^ _81879 : [(5663 ^ _81879) ^ [_220894] : [hBOOL(hAPP(hAPP(c_member(_220810), _220894), _220812))]], _220812 = c_Orderings_Obot__class_Obot(tc_fun(_220810, tc_HOL_Obool))], (5667 ^ _81879) ^ [_221019, _221021] : [-(_221021 = c_Orderings_Obot__class_Obot(tc_fun(_221019, tc_HOL_Obool))), -(hBOOL(hAPP(hAPP(c_member(_221019), 5670 ^ [_221019, _221021]), _221021)))], (5674 ^ _81879) ^ [_221306, _221308] : [hBOOL(hAPP(hAPP(c_member(_221306), _221308), c_Orderings_Obot__class_Obot(tc_fun(_221306, tc_HOL_Obool))))], (5676 ^ _81879) ^ [_221441, _221443, _221445] : [_221441 = c_Orderings_Obot__class_Obot(tc_fun(_221443, tc_HOL_Obool)), hBOOL(hAPP(hAPP(c_member(_221443), _221445), _221441))], (5682 ^ _81879) ^ [_221667, _221669] : [-(c_Relation_ODomain(_221667, _221669, c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_221667, _221669), tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(_221667, tc_HOL_Obool)))], (5684 ^ _81879) ^ [_221836, _221838, _221840] : [c_Relation_ODomain(_221836, _221838, _221840) = c_Orderings_Obot__class_Obot(tc_fun(_221836, tc_HOL_Obool)), -(_221840 = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_221836, _221838), tc_HOL_Obool)))], (5690 ^ _81879) ^ [_222038, _222040, _222042] : [_222042 = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_222038, _222040), tc_HOL_Obool)), -(c_Relation_ODomain(_222038, _222040, _222042) = c_Orderings_Obot__class_Obot(tc_fun(_222038, tc_HOL_Obool)))], (5696 ^ _81879) ^ [_222347, _222349, _222351, _222353] : [c_FuncSet_OPi(_222347, _222349, _222351, _222353) = c_Orderings_Obot__class_Obot(tc_fun(tc_fun(_222347, _222349), tc_HOL_Obool)), 5700 ^ _81879 : [(5701 ^ _81879) ^ [] : [-(hBOOL(hAPP(hAPP(c_member(_222347), 5699 ^ [_222347, _222349, _222351, _222353]), _222351)))], (5703 ^ _81879) ^ [] : [-(hAPP(_222353, 5699 ^ [_222347, _222349, _222351, _222353]) = c_Orderings_Obot__class_Obot(tc_fun(_222349, tc_HOL_Obool)))]]], (5705 ^ _81879) ^ [_222757, _222759, _222761, _222763] : [-(c_FuncSet_OPi(_222757, _222759, _222761, _222763) = c_Orderings_Obot__class_Obot(tc_fun(tc_fun(_222757, _222759), tc_HOL_Obool))), 5706 ^ _81879 : [(5707 ^ _81879) ^ [_222881] : [hBOOL(hAPP(hAPP(c_member(_222757), _222881), _222761)), hAPP(_222763, _222881) = c_Orderings_Obot__class_Obot(tc_fun(_222759, tc_HOL_Obool))]]], (5715 ^ _81879) ^ [_223230, _223232, _223234] : [-(_223230 = c_Orderings_Obot__class_Obot(tc_fun(_223232, tc_HOL_Obool))), -(c_FuncSet_Oextensional__funcset(_223232, _223234, _223230, c_Orderings_Obot__class_Obot(tc_fun(_223234, tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(tc_fun(_223232, _223234), tc_HOL_Obool)))], (5721 ^ _81879) ^ [_223466] : [-(c_Relation_OId__on(_223466, c_Orderings_Obot__class_Obot(tc_fun(_223466, tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_223466, _223466), tc_HOL_Obool)))], (5723 ^ _81879) ^ [_223574, _223576] : [-(c_Relation_ORange(_223574, _223576, c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_223574, _223576), tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(_223576, tc_HOL_Obool)))], (5725 ^ _81879) ^ [_223743, _223745, _223747] : [c_Relation_ORange(_223743, _223745, _223747) = c_Orderings_Obot__class_Obot(tc_fun(_223745, tc_HOL_Obool)), -(_223747 = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_223743, _223745), tc_HOL_Obool)))], (5731 ^ _81879) ^ [_223945, _223947, _223949] : [_223949 = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_223945, _223947), tc_HOL_Obool)), -(c_Relation_ORange(_223945, _223947, _223949) = c_Orderings_Obot__class_Obot(tc_fun(_223947, tc_HOL_Obool)))], (5737 ^ _81879) ^ [_224168] : [-(c_Relation_Orefl__on(_224168, c_Orderings_Obot__class_Obot(tc_fun(_224168, tc_HOL_Obool)), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_224168, _224168), tc_HOL_Obool))))], (5739 ^ _81879) ^ [_224289, _224291] : [class_Lattices_Obounded__lattice__bot(_224289), -(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_224289), _224291), c_Orderings_Obot__class_Obot(_224289)) = c_Orderings_Obot__class_Obot(_224289))], (5745 ^ _81879) ^ [_224521, _224523] : [class_Lattices_Obounded__lattice__bot(_224521), -(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_224521), c_Orderings_Obot__class_Obot(_224521)), _224523) = c_Orderings_Obot__class_Obot(_224521))], (5751 ^ _81879) ^ [_224738, _224740] : [-(c_Relation_Ototal__on(_224738, c_Orderings_Obot__class_Obot(tc_fun(_224738, tc_HOL_Obool)), _224740))], (5753 ^ _81879) ^ [_224882, _224884] : [hBOOL(hAPP(c_Orderings_Obot__class_Obot(tc_fun(_224882, tc_HOL_Obool)), _224884)), -(hBOOL(hAPP(hAPP(c_member(_224882), _224884), c_Orderings_Obot__class_Obot(tc_fun(_224882, tc_HOL_Obool)))))], (5759 ^ _81879) ^ [_225082, _225084] : [hBOOL(hAPP(hAPP(c_member(_225082), _225084), c_Orderings_Obot__class_Obot(tc_fun(_225082, tc_HOL_Obool)))), -(hBOOL(hAPP(c_Orderings_Obot__class_Obot(tc_fun(_225082, tc_HOL_Obool)), _225084)))], (5765 ^ _81879) ^ [_225303] : [-(c_Relation_Oantisym(_225303, c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_225303, _225303), tc_HOL_Obool))))], (5767 ^ _81879) ^ [_225432, _225434, _225436] : [class_Orderings_Obot(_225432), -(hAPP(c_Orderings_Obot__class_Obot(tc_fun(_225434, _225432)), _225436) = c_Orderings_Obot__class_Obot(_225432))], (5773 ^ _81879) ^ [_225680, _225682, _225684] : [class_Orderings_Obot(_225680), -(hAPP(c_Orderings_Obot__class_Obot(tc_fun(_225682, _225680)), _225684) = c_Orderings_Obot__class_Obot(_225680))], (5779 ^ _81879) ^ [] : [-(class_Lattices_Obounded__lattice(tc_HOL_Obool))], (5781 ^ _81879) ^ [_225967, _225969] : [class_Lattices_Obounded__lattice(_225967), -(class_Lattices_Obounded__lattice(tc_fun(_225969, _225967)))], (5787 ^ _81879) ^ [_226179, _226181] : [class_Lattices_Obounded__lattice(_226179), -(class_Lattices_Obounded__lattice__bot(tc_fun(_226181, _226179)))], (5793 ^ _81879) ^ [_226391, _226393] : [class_Lattices_Olattice(_226391), -(class_Lattices_Osemilattice__sup(tc_fun(_226393, _226391)))], (5799 ^ _81879) ^ [_226603, _226605] : [class_Lattices_Olattice(_226603), -(class_Lattices_Osemilattice__inf(tc_fun(_226605, _226603)))], (5805 ^ _81879) ^ [_226815, _226817] : [class_Lattices_Odistrib__lattice(_226815), -(class_Lattices_Odistrib__lattice(tc_fun(_226817, _226815)))], (5811 ^ _81879) ^ [_227027, _227029] : [class_Orderings_Opreorder(_227027), -(class_Orderings_Opreorder(tc_fun(_227029, _227027)))], (5817 ^ _81879) ^ [_227239, _227241] : [class_Lattices_Olattice(_227239), -(class_Lattices_Olattice(tc_fun(_227241, _227239)))], (5823 ^ _81879) ^ [_227451, _227453] : [class_Orderings_Oorder(_227451), -(class_Orderings_Oorder(tc_fun(_227453, _227451)))], (5829 ^ _81879) ^ [_227663, _227665] : [class_Orderings_Oord(_227663), -(class_Orderings_Oord(tc_fun(_227665, _227663)))], (5835 ^ _81879) ^ [_227875, _227877] : [class_Orderings_Obot(_227875), -(class_Orderings_Obot(tc_fun(_227877, _227875)))], (5841 ^ _81879) ^ [] : [-(class_Lattices_Osemilattice__sup(tc_Nat_Onat))], (5843 ^ _81879) ^ [] : [-(class_Lattices_Osemilattice__inf(tc_Nat_Onat))], (5845 ^ _81879) ^ [] : [-(class_Lattices_Odistrib__lattice(tc_Nat_Onat))], (5847 ^ _81879) ^ [] : [-(class_Orderings_Opreorder(tc_Nat_Onat))], (5849 ^ _81879) ^ [] : [-(class_Orderings_Olinorder(tc_Nat_Onat))], (5851 ^ _81879) ^ [] : [-(class_Lattices_Olattice(tc_Nat_Onat))], (5853 ^ _81879) ^ [] : [-(class_Orderings_Oorder(tc_Nat_Onat))], (5855 ^ _81879) ^ [] : [-(class_Orderings_Oord(tc_Nat_Onat))], (5857 ^ _81879) ^ [] : [-(class_Orderings_Obot(tc_Nat_Onat))], (5859 ^ _81879) ^ [] : [-(class_Lattices_Obounded__lattice__bot(tc_HOL_Obool))], (5861 ^ _81879) ^ [] : [-(class_Lattices_Osemilattice__sup(tc_HOL_Obool))], (5863 ^ _81879) ^ [] : [-(class_Lattices_Osemilattice__inf(tc_HOL_Obool))], (5865 ^ _81879) ^ [] : [-(class_Lattices_Odistrib__lattice(tc_HOL_Obool))], (5867 ^ _81879) ^ [] : [-(class_Orderings_Opreorder(tc_HOL_Obool))], (5869 ^ _81879) ^ [] : [-(class_Lattices_Olattice(tc_HOL_Obool))], (5871 ^ _81879) ^ [] : [-(class_Orderings_Oorder(tc_HOL_Obool))], (5873 ^ _81879) ^ [] : [-(class_Orderings_Oord(tc_HOL_Obool))], (5875 ^ _81879) ^ [] : [-(class_Orderings_Obot(tc_HOL_Obool))], (5877 ^ _81879) ^ [_229026, _229028] : [-(hAPP(c_COMBI(_229026), _229028) = _229028)], (5879 ^ _81879) ^ [_229153, _229155, _229157, _229159] : [-(hAPP(c_COMBK(_229153, _229155, _229157), _229159) = _229157)], (5881 ^ _81879) ^ [_229314, _229316, _229318, _229320, _229322, _229324] : [-(hAPP(hAPP(c_COMBB(_229314, _229316, _229318, _229320), _229322), _229324) = hAPP(_229320, hAPP(_229322, _229324)))], (5883 ^ _81879) ^ [_229489, _229491, _229493, _229495, _229497, _229499] : [-(hAPP(hAPP(hAPP(c_COMBC(_229489, _229491, _229493), _229495), _229497), _229499) = hAPP(hAPP(_229495, _229499), _229497))], (5885 ^ _81879) ^ [_229666, _229668, _229670, _229672, _229674, _229676] : [-(hAPP(hAPP(hAPP(c_COMBS(_229666, _229668, _229670), _229672), _229674), _229676) = hAPP(hAPP(_229672, _229676), hAPP(_229674, _229676)))], (5887 ^ _81879) ^ [_229805, _229807] : [hBOOL(hAPP(hAPP(c_fequal, _229805), _229807)), -(_229805 = _229807)], (5893 ^ _81879) ^ [_230027, _230029] : [_230027 = _230029, -(hBOOL(hAPP(hAPP(c_fequal, _230027), _230029)))], (5899 ^ _81879) ^ [] : [hBOOL(c_fFalse)], (5901 ^ _81879) ^ [_230301, _230303] : [hBOOL(_230301), hBOOL(_230303), -(hBOOL(hAPP(hAPP(c_fconj, _230301), _230303)))], (5911 ^ _81879) ^ [_230610, _230612] : [hBOOL(hAPP(hAPP(c_fconj, _230610), _230612)), -(hBOOL(_230610))], (5917 ^ _81879) ^ [_230810, _230812] : [hBOOL(hAPP(hAPP(c_fconj, _230810), _230812)), -(hBOOL(_230812))]], input).
% 1.87/2.43 ncf('1',plain,[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_b____), v_b_H____)), hAPP(v_F, v_Q____)))],start(5923 ^ 0)).
% 1.87/2.43 ncf('1.1',plain,[-(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_b____), v_b_H____)), hAPP(v_F, v_Q____)))), 1668 : 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_b____), v_b_H____)), hAPP(v_Q____, 1669 ^ [v_F, v_Q____, v_b_H____, v_b____]))), 1668 : 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)), 1664 : c_Arrow__Order__Mirabelle_Ounanimity(v_F)],extension(1660 ^ 1,bind([[_110497, _110610, _110721, _110723], [v_F, v_Q____, v_b_H____, v_b____]]))).
% 1.87/2.43 ncf('1.1.1',plain,[-(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_b____), v_b_H____)), hAPP(v_Q____, 1669 ^ [v_F, v_Q____, v_b_H____, v_b____]))))],extension(1125 ^ 6,bind([[_99539], [1669 ^ [v_F, v_Q____, v_b_H____, v_b____]]]))).
% 1.87/2.43 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(1390 ^ 4)).
% 1.87/2.43 ncf('1.1.3',plain,[-(c_Arrow__Order__Mirabelle_Ounanimity(v_F))],extension(1117 ^ 2)).
% 1.87/2.43 %-----------------------------------------------------
% 1.87/2.43 End of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
%------------------------------------------------------------------------------