%------------------------------------------------------------------------------
% File : nanoCoP---2.0
% Problem : SCT134+1 : TPTP v8.1.2. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : nanocop.sh %s %d
% Computer : n005.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Fri May 19 11:51:36 EDT 2023
% Result : Theorem 135.48s 130.90s
% Output : Proof 135.48s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : SCT134+1 : TPTP v8.1.2. Released v5.2.0.
% 0.03/0.13 % Command : nanocop.sh %s %d
% 0.12/0.34 % Computer : n005.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % 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 15:35:08 EDT 2023
% 0.12/0.35 % CPUTime :
% 135.48/130.90
% 135.48/130.90 /export/starexec/sandbox/benchmark/theBenchmark.p is a Theorem
% 135.48/130.90 Start of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 135.48/130.90 %-----------------------------------------------------
% 135.48/130.90 ncf(matrix, plain, [(5726 ^ _81967) ^ [] : [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_F, v_P_H____)))], (2 ^ _81967) ^ [_81997] : [-(_81997 = _81997)], (4 ^ _81967) ^ [_82020, _82022] : [_82022 = _82020, -(_82020 = _82022)], (10 ^ _81967) ^ [_82093, _82095, _82097] : [-(_82097 = _82093), _82097 = _82095, _82095 = _82093], (20 ^ _81967) ^ [_82230, _82232, _82234, _82236, _82238, _82240, _82242, _82244, _82246, _82248] : [-(c_FunDef_Oin__rel(_82246, _82242, _82238, _82234, _82230)), c_FunDef_Oin__rel(_82248, _82244, _82240, _82236, _82232), _82248 = _82246, _82244 = _82242, _82240 = _82238, _82236 = _82234, _82232 = _82230], (46 ^ _81967) ^ [_82675, _82677, _82679, _82681] : [-(c_Nitpick_Orefl_H(_82679, _82675)), c_Nitpick_Orefl_H(_82681, _82677), _82681 = _82679, _82677 = _82675], (60 ^ _81967) ^ [_82868, _82870] : [-(c_Arrow__Order__Mirabelle_OIIA(_82868)), _82870 = _82868, c_Arrow__Order__Mirabelle_OIIA(_82870)], (70 ^ _81967) ^ [_82993, _82995] : [-(c_Arrow__Order__Mirabelle_Ounanimity(_82993)), _82995 = _82993, c_Arrow__Order__Mirabelle_Ounanimity(_82995)], (80 ^ _81967) ^ [_83118, _83120, _83122, _83124, _83126, _83128, _83130, _83132, _83134, _83136, _83138, _83140] : [-(c_Recdef_Owfrec__rel(_83138, _83134, _83130, _83126, _83122, _83118)), c_Recdef_Owfrec__rel(_83140, _83136, _83132, _83128, _83124, _83120), _83140 = _83138, _83136 = _83134, _83132 = _83130, _83128 = _83126, _83124 = _83122, _83120 = _83118], (110 ^ _81967) ^ [_83663, _83665, _83667, _83669] : [-(c_Arrow__Order__Mirabelle_Odictator(_83667, _83663)), c_Arrow__Order__Mirabelle_Odictator(_83669, _83665), _83669 = _83667, _83665 = _83663], (124 ^ _81967) ^ [_83856, _83858, _83860, _83862, _83864, _83866, _83868, _83870] : [-(c_Recdef_Oadm__wf(_83868, _83864, _83860, _83856)), c_Recdef_Oadm__wf(_83870, _83866, _83862, _83858), _83870 = _83868, _83866 = _83864, _83862 = _83860, _83858 = _83856], (146 ^ _81967) ^ [_84209, _84211, _84213, _84215, _84217, _84219, _84221, _84223] : [-(c_Predicate_ODomainP(_84221, _84217, _84213, _84209)), c_Predicate_ODomainP(_84223, _84219, _84215, _84211), _84223 = _84221, _84219 = _84217, _84215 = _84213, _84211 = _84209], (168 ^ _81967) ^ [_84562, _84564, _84566, _84568] : [-(c_Relation_Oirrefl(_84566, _84562)), c_Relation_Oirrefl(_84568, _84564), _84568 = _84566, _84564 = _84562], (182 ^ _81967) ^ [_84755, _84757, _84759, _84761, _84763, _84765, _84767, _84769] : [-(c_Predicate_ORangeP(_84767, _84763, _84759, _84755)), c_Predicate_ORangeP(_84769, _84765, _84761, _84757), _84769 = _84767, _84765 = _84763, _84761 = _84759, _84757 = _84755], (204 ^ _81967) ^ [_85108, _85110, _85112, _85114, _85116, _85118] : [-(c_Relation_Osingle__valued(_85116, _85112, _85108)), c_Relation_Osingle__valued(_85118, _85114, _85110), _85118 = _85116, _85114 = _85112, _85110 = _85108], (222 ^ _81967) ^ [_85377, _85379, _85381, _85383] : [-(c_Wellfounded_Oacyclic(_85381, _85377)), c_Wellfounded_Oacyclic(_85383, _85379), _85383 = _85381, _85379 = _85377], (236 ^ _81967) ^ [_85570, _85572, _85574, _85576, _85578, _85580] : [-(c_Relation_Ototal__on(_85578, _85574, _85570)), c_Relation_Ototal__on(_85580, _85576, _85572), _85580 = _85578, _85576 = _85574, _85572 = _85570], (254 ^ _81967) ^ [_85839, _85841, _85843, _85845, _85847, _85849] : [-(c_Relation_Orefl__on(_85847, _85843, _85839)), c_Relation_Orefl__on(_85849, _85845, _85841), _85849 = _85847, _85845 = _85843, _85841 = _85839], (272 ^ _81967) ^ [_86108, _86110, _86112, _86114, _86116, _86118] : [-(c_Orderings_Oord__class_Oless__eq(_86116, _86112, _86108)), c_Orderings_Oord__class_Oless__eq(_86118, _86114, _86110), _86118 = _86116, _86114 = _86112, _86110 = _86108], (290 ^ _81967) ^ [_86377, _86379] : [-(class_Lattices_Obounded__lattice(_86377)), _86379 = _86377, class_Lattices_Obounded__lattice(_86379)], (300 ^ _81967) ^ [_86502, _86504] : [-(class_Orderings_Olinorder(_86502)), _86504 = _86502, class_Orderings_Olinorder(_86504)], (310 ^ _81967) ^ [_86627, _86629] : [-(class_Lattices_Obounded__lattice__bot(_86627)), _86629 = _86627, class_Lattices_Obounded__lattice__bot(_86629)], (320 ^ _81967) ^ [_86752, _86754] : [-(class_Lattices_Osemilattice__sup(_86752)), _86754 = _86752, class_Lattices_Osemilattice__sup(_86754)], (330 ^ _81967) ^ [_86877, _86879] : [-(class_Lattices_Osemilattice__inf(_86877)), _86879 = _86877, class_Lattices_Osemilattice__inf(_86879)], (340 ^ _81967) ^ [_87002, _87004] : [-(class_Lattices_Odistrib__lattice(_87002)), _87004 = _87002, class_Lattices_Odistrib__lattice(_87004)], (350 ^ _81967) ^ [_87127, _87129] : [-(class_Orderings_Opreorder(_87127)), _87129 = _87127, class_Orderings_Opreorder(_87129)], (360 ^ _81967) ^ [_87252, _87254] : [-(class_Lattices_Olattice(_87252)), _87254 = _87252, class_Lattices_Olattice(_87254)], (370 ^ _81967) ^ [_87377, _87379] : [-(class_Orderings_Oorder(_87377)), _87379 = _87377, class_Orderings_Oorder(_87379)], (380 ^ _81967) ^ [_87502, _87504] : [-(class_Orderings_Oord(_87502)), _87504 = _87502, class_Orderings_Oord(_87504)], (390 ^ _81967) ^ [_87627, _87629] : [-(class_Orderings_Obot(_87627)), _87629 = _87627, class_Orderings_Obot(_87629)], (400 ^ _81967) ^ [_87748, _87750] : [-(hBOOL(_87748)), _87750 = _87748, hBOOL(_87750)], (410 ^ _81967) ^ [_87955, _87957, _87959, _87961, _87963, _87965, _87967, _87969] : [-(c_Recdef_Osame__fst(_87969, _87965, _87961, _87957) = c_Recdef_Osame__fst(_87967, _87963, _87959, _87955)), _87969 = _87967, _87965 = _87963, _87961 = _87959, _87957 = _87955], (428 ^ _81967) ^ [_88256, _88258, _88260, _88262, _88264, _88266, _88268, _88270, _88272, _88274] : [-(c_Product__Type_Oprod_Oprod__rec(_88274, _88270, _88266, _88262, _88258) = c_Product__Type_Oprod_Oprod__rec(_88272, _88268, _88264, _88260, _88256)), _88274 = _88272, _88270 = _88268, _88266 = _88264, _88262 = _88260, _88258 = _88256], (450 ^ _81967) ^ [_88645, _88647, _88649, _88651, _88653, _88655, _88657, _88659] : [-(c_HOL_OLet(_88659, _88655, _88651, _88647) = c_HOL_OLet(_88657, _88653, _88649, _88645)), _88659 = _88657, _88655 = _88653, _88651 = _88649, _88647 = _88645], (468 ^ _81967) ^ [_88946, _88948, _88950, _88952] : [-(c_If(_88952, _88948) = c_If(_88950, _88946)), _88952 = _88950, _88948 = _88946], (478 ^ _81967) ^ [_89095, _89097, _89099, _89101, _89103, _89105, _89107, _89109, _89111, _89113] : [-(c_Product__Type_Ointernal__split(_89113, _89109, _89105, _89101, _89097) = c_Product__Type_Ointernal__split(_89111, _89107, _89103, _89099, _89095)), _89113 = _89111, _89109 = _89107, _89105 = _89103, _89101 = _89099, _89097 = _89095], (500 ^ _81967) ^ [_89484, _89486, _89488, _89490, _89492, _89494] : [-(c_Arrow__Order__Mirabelle_Obelow(_89494, _89490, _89486) = c_Arrow__Order__Mirabelle_Obelow(_89492, _89488, _89484)), _89494 = _89492, _89490 = _89488, _89486 = _89484], (514 ^ _81967) ^ [_89705, _89707, _89709, _89711, _89713, _89715, _89717, _89719, _89721, _89723, _89725, _89727] : [-(c_Product__Type_Ocurry(_89727, _89723, _89719, _89715, _89711, _89707) = c_Product__Type_Ocurry(_89725, _89721, _89717, _89713, _89709, _89705)), _89727 = _89725, _89723 = _89721, _89719 = _89717, _89715 = _89713, _89711 = _89709, _89707 = _89705], (540 ^ _81967) ^ [_90190, _90192, _90194, _90196] : [-(c_Arrow__Order__Mirabelle_Omktop(_90196, _90192) = c_Arrow__Order__Mirabelle_Omktop(_90194, _90190)), _90196 = _90194, _90192 = _90190], (550 ^ _81967) ^ [_90339, _90341, _90343, _90345] : [-(c_Arrow__Order__Mirabelle_Omkbot(_90345, _90341) = c_Arrow__Order__Mirabelle_Omkbot(_90343, _90339)), _90345 = _90343, _90341 = _90339], (560 ^ _81967) ^ [_90488, _90490, _90492, _90494, _90496, _90498, _90500, _90502, _90504, _90506, _90508, _90510] : [-(c_FuncSet_Ocompose(_90510, _90506, _90502, _90498, _90494, _90490) = c_FuncSet_Ocompose(_90508, _90504, _90500, _90496, _90492, _90488)), _90510 = _90508, _90506 = _90504, _90502 = _90500, _90498 = _90496, _90494 = _90492, _90490 = _90488], (586 ^ _81967) ^ [_90973, _90975, _90977, _90979, _90981, _90983, _90985, _90987] : [-(c_FuncSet_Orestrict(_90987, _90983, _90979, _90975) = c_FuncSet_Orestrict(_90985, _90981, _90977, _90973)), _90987 = _90985, _90983 = _90981, _90979 = _90977, _90975 = _90973], (604 ^ _81967) ^ [_91274, _91276, _91278, _91280, _91282, _91284, _91286, _91288, _91290, _91292] : [-(c_Nitpick_Owf__wfrec_H(_91292, _91288, _91284, _91280, _91276) = c_Nitpick_Owf__wfrec_H(_91290, _91286, _91282, _91278, _91274)), _91292 = _91290, _91288 = _91286, _91284 = _91282, _91280 = _91278, _91276 = _91274], (626 ^ _81967) ^ [_91663, _91665, _91667, _91669] : [-(c_Recdef_Ocut(_91669, _91665) = c_Recdef_Ocut(_91667, _91663)), _91669 = _91667, _91665 = _91663], (636 ^ _81967) ^ [_91812, _91814, _91816, _91818, _91820, _91822, _91824, _91826] : [-(c_Nitpick_Owf__wfrec(_91826, _91822, _91818, _91814) = c_Nitpick_Owf__wfrec(_91824, _91820, _91816, _91812)), _91826 = _91824, _91822 = _91820, _91818 = _91816, _91814 = _91812], (654 ^ _81967) ^ [_92113, _92115, _92117, _92119] : [-(c_Wellfounded_Oacc(_92119, _92115) = c_Wellfounded_Oacc(_92117, _92113)), _92119 = _92117, _92115 = _92113], (664 ^ _81967) ^ [_92262, _92264, _92266, _92268] : [-(c_Wellfounded_Oaccp(_92268, _92264) = c_Wellfounded_Oaccp(_92266, _92262)), _92268 = _92266, _92264 = _92262], (674 ^ _81967) ^ [_92411, _92413, _92415, _92417, _92419, _92421] : [-(c_Wellfounded_Omlex__prod(_92421, _92417, _92413) = c_Wellfounded_Omlex__prod(_92419, _92415, _92411)), _92421 = _92419, _92417 = _92415, _92413 = _92411], (688 ^ _81967) ^ [_92632, _92634, _92636, _92638, _92640, _92642, _92644, _92646] : [-(c_Relation_Oinv__image(_92646, _92642, _92638, _92634) = c_Relation_Oinv__image(_92644, _92640, _92636, _92632)), _92646 = _92644, _92642 = _92640, _92638 = _92636, _92634 = _92632], (706 ^ _81967) ^ [_92933, _92935, _92937, _92939, _92941, _92943, _92945, _92947] : [-(c_Wellfounded_Olex__prod(_92947, _92943, _92939, _92935) = c_Wellfounded_Olex__prod(_92945, _92941, _92937, _92933)), _92947 = _92945, _92943 = _92941, _92939 = _92937, _92935 = _92933], (724 ^ _81967) ^ [_93234, _93236, _93238, _93240] : [-(c_Transitive__Closure_Ortrancl(_93240, _93236) = c_Transitive__Closure_Ortrancl(_93238, _93234)), _93240 = _93238, _93236 = _93234], (734 ^ _81967) ^ [_93383, _93385, _93387, _93389] : [-(c_Relation_OField(_93389, _93385) = c_Relation_OField(_93387, _93383)), _93389 = _93387, _93385 = _93383], (744 ^ _81967) ^ [_93532, _93534, _93536, _93538] : [-(c_Transitive__Closure_Ortranclp(_93538, _93534) = c_Transitive__Closure_Ortranclp(_93536, _93532)), _93538 = _93536, _93534 = _93532], (754 ^ _81967) ^ [_93681, _93683, _93685, _93687, _93689, _93691] : [-(c_FuncSet_Oextensional(_93691, _93687, _93683) = c_FuncSet_Oextensional(_93689, _93685, _93681)), _93691 = _93689, _93687 = _93685, _93683 = _93681], (768 ^ _81967) ^ [_93902, _93904] : [_93904 = _93902, -(c_HOL_Oundefined(_93904) = c_HOL_Oundefined(_93902))], (774 ^ _81967) ^ [_93987, _93989, _93991, _93993, _93995, _93997] : [-(c_Relation_ODomain(_93997, _93993, _93989) = c_Relation_ODomain(_93995, _93991, _93987)), _93997 = _93995, _93993 = _93991, _93989 = _93987], (788 ^ _81967) ^ [_94208, _94210, _94212, _94214, _94216, _94218, _94220, _94222] : [-(c_FuncSet_OPi(_94222, _94218, _94214, _94210) = c_FuncSet_OPi(_94220, _94216, _94212, _94208)), _94222 = _94220, _94218 = _94216, _94214 = _94212, _94210 = _94208], (806 ^ _81967) ^ [_94509, _94511, _94513, _94515, _94517, _94519] : [-(c_Relation_ORange(_94519, _94515, _94511) = c_Relation_ORange(_94517, _94513, _94509)), _94519 = _94517, _94515 = _94513, _94511 = _94509], (820 ^ _81967) ^ [_94730, _94732, _94734, _94736] : [-(c_Relation_OId__on(_94736, _94732) = c_Relation_OId__on(_94734, _94730)), _94736 = _94734, _94732 = _94730], (830 ^ _81967) ^ [_94879, _94881, _94883, _94885] : [-(c_Transitive__Closure_Otrancl(_94885, _94881) = c_Transitive__Closure_Otrancl(_94883, _94879)), _94885 = _94883, _94881 = _94879], (840 ^ _81967) ^ [_95028, _95030, _95032, _95034, _95036, _95038, _95040, _95042] : [-(c_Product__Type_OSigma(_95042, _95038, _95034, _95030) = c_Product__Type_OSigma(_95040, _95036, _95032, _95028)), _95042 = _95040, _95038 = _95036, _95034 = _95032, _95030 = _95028], (858 ^ _81967) ^ [_95329, _95331, _95333, _95335] : [-(c_Set_Othe__elem(_95335, _95331) = c_Set_Othe__elem(_95333, _95329)), _95335 = _95333, _95331 = _95329], (868 ^ _81967) ^ [_95478, _95480] : [_95480 = _95478, -(c_Orderings_Obot__class_Obot(_95480) = c_Orderings_Obot__class_Obot(_95478))], (874 ^ _81967) ^ [_95563, _95565, _95567, _95569, _95571, _95573, _95575, _95577, _95579, _95581] : [-(c_Fun_Ofun__upd(_95581, _95577, _95573, _95569, _95565) = c_Fun_Ofun__upd(_95579, _95575, _95571, _95567, _95563)), _95581 = _95579, _95577 = _95575, _95573 = _95571, _95569 = _95567, _95565 = _95563], (896 ^ _81967) ^ [_95952, _95954, _95956, _95958, _95960, _95962, _95964, _95966] : [-(c_FuncSet_Oextensional__funcset(_95966, _95962, _95958, _95954) = c_FuncSet_Oextensional__funcset(_95964, _95960, _95956, _95952)), _95966 = _95964, _95962 = _95960, _95958 = _95956, _95954 = _95952], (914 ^ _81967) ^ [_96253, _96255, _96257, _96259, _96261, _96263] : [-(c_Set_Oinsert(_96263, _96259, _96255) = c_Set_Oinsert(_96261, _96257, _96253)), _96263 = _96261, _96259 = _96257, _96255 = _96253], (928 ^ _81967) ^ [_96474, _96476] : [_96476 = _96474, -(c_Lattices_Osemilattice__inf__class_Oinf(_96476) = c_Lattices_Osemilattice__inf__class_Oinf(_96474))], (934 ^ _81967) ^ [_96559, _96561, _96563, _96565, _96567, _96569] : [-(c_Groups_Ominus__class_Ominus(_96569, _96565, _96561) = c_Groups_Ominus__class_Ominus(_96567, _96563, _96559)), _96569 = _96567, _96565 = _96563, _96561 = _96559], (948 ^ _81967) ^ [_96780, _96782] : [_96782 = _96780, -(c_Lattices_Osemilattice__sup__class_Osup(_96782) = c_Lattices_Osemilattice__sup__class_Osup(_96780))], (954 ^ _81967) ^ [_96865, _96867, _96869, _96871] : [-(tc_fun(_96871, _96867) = tc_fun(_96869, _96865)), _96871 = _96869, _96867 = _96865], (964 ^ _81967) ^ [_97014, _97016] : [_97016 = _97014, -(c_COMBI(_97016) = c_COMBI(_97014))], (970 ^ _81967) ^ [_97099, _97101, _97103, _97105, _97107, _97109] : [-(c_COMBK(_97109, _97105, _97101) = c_COMBK(_97107, _97103, _97099)), _97109 = _97107, _97105 = _97103, _97101 = _97099], (984 ^ _81967) ^ [_97320, _97322, _97324, _97326, _97328, _97330, _97332, _97334] : [-(c_COMBB(_97334, _97330, _97326, _97322) = c_COMBB(_97332, _97328, _97324, _97320)), _97334 = _97332, _97330 = _97328, _97326 = _97324, _97322 = _97320], (1002 ^ _81967) ^ [_97621, _97623, _97625, _97627, _97629, _97631] : [-(c_COMBC(_97631, _97627, _97623) = c_COMBC(_97629, _97625, _97621)), _97631 = _97629, _97627 = _97625, _97623 = _97621], (1016 ^ _81967) ^ [_97842, _97844, _97846, _97848, _97850, _97852] : [-(c_COMBS(_97852, _97848, _97844) = c_COMBS(_97850, _97846, _97842)), _97852 = _97850, _97848 = _97846, _97844 = _97842], (1030 ^ _81967) ^ [_98063, _98065] : [_98065 = _98063, -(c_member(_98065) = c_member(_98063))], (1036 ^ _81967) ^ [_98148, _98150, _98152, _98154] : [-(tc_prod(_98154, _98150) = tc_prod(_98152, _98148)), _98154 = _98152, _98150 = _98148], (1046 ^ _81967) ^ [_98297, _98299, _98301, _98303] : [-(c_Product__Type_OPair(_98303, _98299) = c_Product__Type_OPair(_98301, _98297)), _98303 = _98301, _98299 = _98297], (1056 ^ _81967) ^ [_98442, _98444, _98446, _98448] : [-(hAPP(_98448, _98444) = hAPP(_98446, _98442)), _98448 = _98446, _98444 = _98442], (1066 ^ _81967) ^ [_98823, _98825] : [hAPP(_98823, 1067 ^ [_98823, _98825]) = hAPP(_98825, 1067 ^ [_98823, _98825]), -(_98823 = _98825)], (1073 ^ _81967) ^ [] : [-(c_Arrow__Order__Mirabelle_OIIA(v_F))], (1075 ^ _81967) ^ [] : [-(c_Arrow__Order__Mirabelle_Ounanimity(v_F))], (1077 ^ _81967) ^ [] : [v_a_H____ = v_b_H____], (1079 ^ _81967) ^ [] : [v_a____ = v_b_H____], (1081 ^ _81967) ^ [] : [v_b____ = v_a_H____], (1083 ^ _81967) ^ [] : [-(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_F, v_Q____))))], (1085 ^ _81967) ^ [_99087] : [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_Q____, _99087))), -(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____, _99087))))], (1091 ^ _81967) ^ [_99178] : [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____, _99178))), -(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_Q____, _99178))))], (1097 ^ _81967) ^ [_99275] : [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))), _99275), c_Arrow__Order__Mirabelle_OProf)), 1100 ^ _81967 : [(1101 ^ _81967) ^ [_99440] : [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))), _99440), c_Arrow__Order__Mirabelle_OProf)), 1104 ^ _81967 : [(1105 ^ _81967) ^ [_99591, _99593] : [1109 ^ _81967 : [(1110 ^ _81967) ^ [] : [-(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), _99593), _99591)), hAPP(_99275, 1106 ^ [_99275, _99440, _99591, _99593]))))], (1112 ^ _81967) ^ [] : [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), _99593), _99591)), hAPP(_99440, 1106 ^ [_99275, _99440, _99591, _99593])))]], 1113 ^ _81967 : [(1114 ^ _81967) ^ [] : [-(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), _99593), _99591)), hAPP(_99440, 1106 ^ [_99275, _99440, _99591, _99593]))))], (1116 ^ _81967) ^ [] : [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), _99593), _99591)), hAPP(_99275, 1106 ^ [_99275, _99440, _99591, _99593])))]], 1117 ^ _81967 : [(1118 ^ _81967) ^ [] : [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), _99593), _99591)), hAPP(v_F, _99275))), -(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), _99593), _99591)), hAPP(v_F, _99440))))], (1124 ^ _81967) ^ [] : [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), _99593), _99591)), hAPP(v_F, _99440))), -(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), _99593), _99591)), hAPP(v_F, _99275))))]]]]]]], (1130 ^ _81967) ^ [] : [-(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)))], (1132 ^ _81967) ^ [_100217, _100219, _100221, _100223] : [_100217 = _100219, 1137 ^ _81967 : [(1138 ^ _81967) ^ [] : [-(hBOOL(hAPP(hAPP(c_member(_100221), _100223), _100217)))], (1140 ^ _81967) ^ [] : [-(hBOOL(hAPP(hAPP(c_member(_100221), _100223), _100219)))]], 1141 ^ _81967 : [(1142 ^ _81967) ^ [] : [hBOOL(hAPP(hAPP(c_member(_100221), _100223), _100217))], (1144 ^ _81967) ^ [] : [hBOOL(hAPP(hAPP(c_member(_100221), _100223), _100219))]]], (1164 ^ _81967) ^ [_100769, _100771, _100773, _100775] : [-(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), _100769), _100771)), c_Arrow__Order__Mirabelle_Omkbot(_100773, _100775)))), -(_100771 = _100775), 1171 ^ _81967 : [(1172 ^ _81967) ^ [] : [-(_100769 = _100775)], (1174 ^ _81967) ^ [] : [-(_100769 = _100771)]], 1175 ^ _81967 : [(1176 ^ _81967) ^ [] : [_100769 = _100775], (1178 ^ _81967) ^ [] : [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), _100769), _100771)), _100773))]]], (1146 ^ _81967) ^ [_100501, _100503, _100505, _100507] : [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), _100501), _100503)), c_Arrow__Order__Mirabelle_Omkbot(_100505, _100507))), 1149 ^ _81967 : [(1150 ^ _81967) ^ [] : [_100503 = _100507], (1152 ^ _81967) ^ [] : [_100501 = _100507, _100501 = _100503], (1158 ^ _81967) ^ [] : [-(_100501 = _100507), -(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), _100501), _100503)), _100505)))]]], (1200 ^ _81967) ^ [_101375, _101377, _101379, _101381] : [-(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), _101375), _101377)), c_Arrow__Order__Mirabelle_Omktop(_101379, _101381)))), -(_101375 = _101381), 1207 ^ _81967 : [(1208 ^ _81967) ^ [] : [-(_101377 = _101381)], (1210 ^ _81967) ^ [] : [-(_101375 = _101377)]], 1211 ^ _81967 : [(1212 ^ _81967) ^ [] : [_101377 = _101381], (1214 ^ _81967) ^ [] : [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), _101375), _101377)), _101379))]]], (1182 ^ _81967) ^ [_101107, _101109, _101111, _101113] : [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), _101107), _101109)), c_Arrow__Order__Mirabelle_Omktop(_101111, _101113))), 1185 ^ _81967 : [(1186 ^ _81967) ^ [] : [_101107 = _101113], (1188 ^ _81967) ^ [] : [_101109 = _101113, _101107 = _101109], (1194 ^ _81967) ^ [] : [-(_101109 = _101113), -(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), _101107), _101109)), _101111)))]]], (1218 ^ _81967) ^ [_101704] : [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____, _101704))), -(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____, _101704))))], (1224 ^ _81967) ^ [_101795] : [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____, _101795))), -(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____, _101795))))], (1230 ^ _81967) ^ [] : [-(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____))))], (1236 ^ _81967) ^ [] : [-(v_b____ = v_b_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_b____), v_b_H____)), hAPP(v_F, v_Q____))))], (1242 ^ _81967) ^ [_101960, _101962, _101964, _101966, _101968] : [c_FunDef_Oin__rel(_101960, _101962, _101964, _101966, _101968), -(hBOOL(hAPP(hAPP(c_member(tc_prod(_101960, _101962)), hAPP(hAPP(c_Product__Type_OPair(_101960, _101962), _101966), _101968)), _101964)))], (1248 ^ _81967) ^ [_102083, _102085, _102087, _102089, _102091] : [hBOOL(hAPP(hAPP(c_member(tc_prod(_102083, _102085)), hAPP(hAPP(c_Product__Type_OPair(_102083, _102085), _102089), _102091)), _102087)), -(c_FunDef_Oin__rel(_102083, _102085, _102087, _102089, _102091))], (1254 ^ _81967) ^ [_102212, _102214, _102216, _102218, _102220, _102222, _102224] : [hBOOL(hAPP(_102212, _102214)), hBOOL(hAPP(hAPP(c_member(tc_prod(_102216, _102216)), hAPP(hAPP(c_Product__Type_OPair(_102216, _102216), _102218), _102220)), hAPP(_102222, _102214))), -(hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(_102224, _102216), tc_prod(_102224, _102216))), hAPP(hAPP(c_Product__Type_OPair(tc_prod(_102224, _102216), tc_prod(_102224, _102216)), hAPP(hAPP(c_Product__Type_OPair(_102224, _102216), _102214), _102218)), hAPP(hAPP(c_Product__Type_OPair(_102224, _102216), _102214), _102220))), c_Recdef_Osame__fst(_102224, _102216, _102212, _102222))))], (1264 ^ _81967) ^ [_102532, _102534] : [c_Nitpick_Orefl_H(_102532, _102534), 1267 ^ _81967 : [(1268 ^ _81967) ^ [_102610] : [-(hBOOL(hAPP(hAPP(c_member(tc_prod(_102532, _102532)), hAPP(hAPP(c_Product__Type_OPair(_102532, _102532), _102610), _102610)), _102534)))]]], (1270 ^ _81967) ^ [_102652, _102654] : [hBOOL(hAPP(hAPP(c_member(tc_prod(_102652, _102652)), hAPP(hAPP(c_Product__Type_OPair(_102652, _102652), 1271 ^ [_102652, _102654]), 1271 ^ [_102652, _102654])), _102654)), -(c_Nitpick_Orefl_H(_102652, _102654))], (1277 ^ _81967) ^ [] : [-(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____))))], (1279 ^ _81967) ^ [_102855, _102857, _102859] : [hBOOL(hAPP(_102855, 1280 ^ [_102855, _102857, _102859])), 1283 ^ _81967 : [(1284 ^ _81967) ^ [_102966, _102968] : [-(hBOOL(hAPP(_102855, hAPP(hAPP(c_Product__Type_OPair(_102857, _102859), _102968), _102966))))]]], (1286 ^ _81967) ^ [_103002, _103004, _103006] : [hBOOL(hAPP(_103002, hAPP(hAPP(c_Product__Type_OPair(_103004, _103006), 1287 ^ [_103002, _103004, _103006]), 1288 ^ [_103002, _103004, _103006]))), 1291 ^ _81967 : [(1292 ^ _81967) ^ [_103149] : [-(hBOOL(hAPP(_103002, _103149)))]]], (1294 ^ _81967) ^ [] : [v_a____ = v_b____], (1296 ^ _81967) ^ [] : [-(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)))], (1298 ^ _81967) ^ [] : [-(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)))], (1300 ^ _81967) ^ [] : [-(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____))))], (1302 ^ _81967) ^ [_103270] : [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____, _103270))), -(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____, _103270))))], (1308 ^ _81967) ^ [_103361] : [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____, _103361))), -(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____, _103361))))], (1314 ^ _81967) ^ [_103458, _103460, _103462, _103464] : [_103458 = _103460, hBOOL(hAPP(hAPP(c_member(_103462), _103460), _103464)), -(hBOOL(hAPP(hAPP(c_member(_103462), _103458), _103464)))], (1324 ^ _81967) ^ [_103623, _103625, _103627, _103629] : [_103623 = _103625, 1327 ^ _81967 : [(1328 ^ _81967) ^ [] : [hBOOL(hAPP(hAPP(c_member(_103627), _103623), _103629)), -(hBOOL(hAPP(hAPP(c_member(_103627), _103625), _103629)))], (1334 ^ _81967) ^ [] : [hBOOL(hAPP(hAPP(c_member(_103627), _103625), _103629)), -(hBOOL(hAPP(hAPP(c_member(_103627), _103623), _103629)))]]], (1340 ^ _81967) ^ [_103884, _103886, _103888, _103890] : [_103884 = _103886, 1343 ^ _81967 : [(1344 ^ _81967) ^ [] : [hBOOL(hAPP(hAPP(c_member(_103888), _103890), _103884)), -(hBOOL(hAPP(hAPP(c_member(_103888), _103890), _103886)))], (1350 ^ _81967) ^ [] : [hBOOL(hAPP(hAPP(c_member(_103888), _103890), _103886)), -(hBOOL(hAPP(hAPP(c_member(_103888), _103890), _103884)))]]], (1356 ^ _81967) ^ [_104163, _104165, _104167] : [hBOOL(hAPP(hAPP(c_member(_104163), _104165), _104167)), -(hBOOL(hAPP(_104167, _104165)))], (1362 ^ _81967) ^ [_104256, _104258, _104260] : [hBOOL(hAPP(_104260, _104258)), -(hBOOL(hAPP(hAPP(c_member(_104256), _104258), _104260)))], (1368 ^ _81967) ^ [_104355, _104357, _104359, _104361, _104363, _104365] : [hAPP(hAPP(c_Product__Type_OPair(_104355, _104357), _104359), _104361) = hAPP(hAPP(c_Product__Type_OPair(_104355, _104357), _104363), _104365), 1371 ^ _81967 : [(1372 ^ _81967) ^ [] : [-(_104359 = _104363)], (1374 ^ _81967) ^ [] : [-(_104361 = _104365)]]], (1376 ^ _81967) ^ [_104533, _104535, _104537, _104539, _104541, _104543] : [hAPP(hAPP(c_Product__Type_OPair(_104533, _104535), _104537), _104539) = hAPP(hAPP(c_Product__Type_OPair(_104533, _104535), _104541), _104543), 1379 ^ _81967 : [(1380 ^ _81967) ^ [] : [-(_104537 = _104541)], (1382 ^ _81967) ^ [] : [-(_104539 = _104543)]]], (1384 ^ _81967) ^ [_104676, _104678, _104680, _104682, _104684, _104686] : [-(hAPP(hAPP(c_Product__Type_OPair(_104676, _104678), _104680), _104682) = hAPP(hAPP(c_Product__Type_OPair(_104676, _104678), _104684), _104686)), _104680 = _104684, _104682 = _104686], (1394 ^ _81967) ^ [] : [-(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)))], (1396 ^ _81967) ^ [_104877, _104879, _104881, _104883, _104885, _104887] : [-(c_Product__Type_Oprod_Oprod__rec(_104877, _104879, _104881, _104883, hAPP(hAPP(c_Product__Type_OPair(_104877, _104879), _104885), _104887)) = hAPP(hAPP(_104883, _104885), _104887))], (1398 ^ _81967) ^ [_104943] : [c_Arrow__Order__Mirabelle_OIIA(_104943), 1401 ^ _81967 : [(1402 ^ _81967) ^ [_105112] : [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))), _105112), c_Arrow__Order__Mirabelle_OProf)), 1405 ^ _81967 : [(1406 ^ _81967) ^ [_105279] : [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))), _105279), c_Arrow__Order__Mirabelle_OProf)), 1409 ^ _81967 : [(1410 ^ _81967) ^ [_105432, _105434] : [1414 ^ _81967 : [(1415 ^ _81967) ^ [] : [-(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), _105434), _105432)), hAPP(_105112, 1411 ^ [_104943, _105112, _105279, _105432, _105434]))))], (1417 ^ _81967) ^ [] : [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), _105434), _105432)), hAPP(_105279, 1411 ^ [_104943, _105112, _105279, _105432, _105434])))]], 1418 ^ _81967 : [(1419 ^ _81967) ^ [] : [-(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), _105434), _105432)), hAPP(_105279, 1411 ^ [_104943, _105112, _105279, _105432, _105434]))))], (1421 ^ _81967) ^ [] : [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), _105434), _105432)), hAPP(_105112, 1411 ^ [_104943, _105112, _105279, _105432, _105434])))]], 1422 ^ _81967 : [(1423 ^ _81967) ^ [] : [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), _105434), _105432)), hAPP(_104943, _105112))), -(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), _105434), _105432)), hAPP(_104943, _105279))))], (1429 ^ _81967) ^ [] : [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), _105434), _105432)), hAPP(_104943, _105279))), -(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), _105434), _105432)), hAPP(_104943, _105112))))]]]]]]]]], (1435 ^ _81967) ^ [_106058] : [-(c_Arrow__Order__Mirabelle_OIIA(_106058)), 1437 ^ _81967 : [(1438 ^ _81967) ^ [] : [-(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))), 1436 ^ [_106058]), c_Arrow__Order__Mirabelle_OProf)))], (1441 ^ _81967) ^ [] : [-(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))), 1439 ^ [_106058]), c_Arrow__Order__Mirabelle_OProf)))], (1457 ^ _81967) ^ [] : [1458 ^ _81967 : [(1459 ^ _81967) ^ [] : [-(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), 1442 ^ [_106058]), 1443 ^ [_106058])), hAPP(_106058, 1436 ^ [_106058]))))], (1461 ^ _81967) ^ [] : [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), 1442 ^ [_106058]), 1443 ^ [_106058])), hAPP(_106058, 1439 ^ [_106058])))]], 1462 ^ _81967 : [(1463 ^ _81967) ^ [] : [-(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), 1442 ^ [_106058]), 1443 ^ [_106058])), hAPP(_106058, 1439 ^ [_106058]))))], (1465 ^ _81967) ^ [] : [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), 1442 ^ [_106058]), 1443 ^ [_106058])), hAPP(_106058, 1436 ^ [_106058])))]]], (1445 ^ _81967) ^ [_106630] : [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), 1442 ^ [_106058]), 1443 ^ [_106058])), hAPP(1436 ^ [_106058], _106630))), -(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), 1442 ^ [_106058]), 1443 ^ [_106058])), hAPP(1439 ^ [_106058], _106630))))], (1451 ^ _81967) ^ [_106819] : [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), 1442 ^ [_106058]), 1443 ^ [_106058])), hAPP(1439 ^ [_106058], _106819))), -(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), 1442 ^ [_106058]), 1443 ^ [_106058])), hAPP(1436 ^ [_106058], _106819))))]]], (1484 ^ _81967) ^ [_107710] : [1486 ^ _81967 : [(1487 ^ _81967) ^ [] : [-(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))), 1485 ^ [_107710]), c_Arrow__Order__Mirabelle_OProf)))], (1491 ^ _81967) ^ [_107928] : [-(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), 1488 ^ [_107710]), 1489 ^ [_107710])), hAPP(1485 ^ [_107710], _107928))))], (1493 ^ _81967) ^ [] : [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), 1488 ^ [_107710]), 1489 ^ [_107710])), hAPP(_107710, 1485 ^ [_107710])))]], -(c_Arrow__Order__Mirabelle_Ounanimity(_107710))], (1469 ^ _81967) ^ [_107299] : [c_Arrow__Order__Mirabelle_Ounanimity(_107299), 1472 ^ _81967 : [(1473 ^ _81967) ^ [_107412] : [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))), _107412), c_Arrow__Order__Mirabelle_OProf)), 1476 ^ _81967 : [(1477 ^ _81967) ^ [_107523, _107525] : [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), _107525), _107523)), hAPP(_107412, 1478 ^ [_107299, _107412, _107523, _107525]))), -(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), _107525), _107523)), hAPP(_107299, _107412))))]]]]], (1497 ^ _81967) ^ [_108095, _108097, _108099, _108101, _108103, _108105, _108107, _108109] : [hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(_108095, _108097), tc_prod(_108095, _108097))), hAPP(hAPP(c_Product__Type_OPair(tc_prod(_108095, _108097), tc_prod(_108095, _108097)), hAPP(hAPP(c_Product__Type_OPair(_108095, _108097), _108099), _108101)), hAPP(hAPP(c_Product__Type_OPair(_108095, _108097), _108103), _108105))), c_Wellfounded_Olex__prod(_108095, _108097, _108107, _108109))), -(hBOOL(hAPP(hAPP(c_member(tc_prod(_108095, _108095)), hAPP(hAPP(c_Product__Type_OPair(_108095, _108095), _108099), _108103)), _108107))), 1504 ^ _81967 : [(1505 ^ _81967) ^ [] : [-(_108099 = _108103)], (1507 ^ _81967) ^ [] : [-(hBOOL(hAPP(hAPP(c_member(tc_prod(_108097, _108097)), hAPP(hAPP(c_Product__Type_OPair(_108097, _108097), _108101), _108105)), _108109)))]]], (1509 ^ _81967) ^ [_108420, _108422, _108424, _108426, _108428, _108430, _108432, _108434] : [-(hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(_108420, _108422), tc_prod(_108420, _108422))), hAPP(hAPP(c_Product__Type_OPair(tc_prod(_108420, _108422), tc_prod(_108420, _108422)), hAPP(hAPP(c_Product__Type_OPair(_108420, _108422), _108424), _108426)), hAPP(hAPP(c_Product__Type_OPair(_108420, _108422), _108428), _108430))), c_Wellfounded_Olex__prod(_108420, _108422, _108432, _108434)))), 1510 ^ _81967 : [(1511 ^ _81967) ^ [] : [hBOOL(hAPP(hAPP(c_member(tc_prod(_108420, _108420)), hAPP(hAPP(c_Product__Type_OPair(_108420, _108420), _108424), _108428)), _108432))], (1513 ^ _81967) ^ [] : [_108424 = _108428, hBOOL(hAPP(hAPP(c_member(tc_prod(_108422, _108422)), hAPP(hAPP(c_Product__Type_OPair(_108422, _108422), _108426), _108430)), _108434))]]], (1521 ^ _81967) ^ [_108795] : [-(hAPP(v_Q____, _108795) = 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____, _108795)), c_Arrow__Order__Mirabelle_Obelow(hAPP(v_P____, _108795), 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____))))], (1533 ^ _81967) ^ [_109032, _109034] : [1535 ^ _81967 : [(1536 ^ _81967) ^ [] : [-(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))), 1534 ^ [_109032, _109034]), c_Arrow__Order__Mirabelle_OProf)))], (1538 ^ _81967) ^ [] : [hAPP(_109032, 1534 ^ [_109032, _109034]) = hAPP(1534 ^ [_109032, _109034], _109034)]], -(c_Arrow__Order__Mirabelle_Odictator(_109032, _109034))], (1523 ^ _81967) ^ [_108857, _108859] : [c_Arrow__Order__Mirabelle_Odictator(_108857, _108859), 1526 ^ _81967 : [(1527 ^ _81967) ^ [_108931] : [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))), _108931), c_Arrow__Order__Mirabelle_OProf)), -(hAPP(_108857, _108931) = hAPP(_108931, _108859))]]], (1542 ^ _81967) ^ [_109209, _109211, _109213, _109215, _109217, _109219] : [-(c_Product__Type_Ointernal__split(_109209, _109211, _109213, _109215, hAPP(hAPP(c_Product__Type_OPair(_109209, _109211), _109217), _109219)) = hAPP(hAPP(_109215, _109217), _109219))], (1544 ^ _81967) ^ [_109290, _109292, _109294, _109296, _109298, _109300] : [c_Recdef_Owfrec__rel(_109290, _109292, _109294, _109296, _109298, hAPP(hAPP(_109296, _109300), _109298)), 1548 ^ _81967 : [(1549 ^ _81967) ^ [] : [-(hAPP(hAPP(_109296, _109300), _109298) = hAPP(hAPP(_109296, 1547 ^ [_109290, _109292, _109294, _109296, _109298, _109300]), _109298))], (1551 ^ _81967) ^ [_109536] : [hBOOL(hAPP(hAPP(c_member(tc_prod(_109290, _109290)), hAPP(hAPP(c_Product__Type_OPair(_109290, _109290), _109536), _109298)), _109294)), -(c_Recdef_Owfrec__rel(_109290, _109292, _109294, _109296, _109536, hAPP(1547 ^ [_109290, _109292, _109294, _109296, _109298, _109300], _109536)))]]], (1557 ^ _81967) ^ [_109707, _109709, _109711, _109713, _109715, _109717] : [-(c_Recdef_Owfrec__rel(_109707, _109709, _109711, _109713, _109715, hAPP(hAPP(_109713, _109717), _109715))), 1558 ^ _81967 : [(1559 ^ _81967) ^ [_109814] : [hAPP(hAPP(_109713, _109717), _109715) = hAPP(hAPP(_109713, _109814), _109715), 1563 ^ _81967 : [(1564 ^ _81967) ^ [] : [-(hBOOL(hAPP(hAPP(c_member(tc_prod(_109707, _109707)), hAPP(hAPP(c_Product__Type_OPair(_109707, _109707), 1562 ^ [_109707, _109709, _109711, _109713, _109715, _109717, _109814]), _109715)), _109711)))], (1566 ^ _81967) ^ [] : [c_Recdef_Owfrec__rel(_109707, _109709, _109711, _109713, 1562 ^ [_109707, _109709, _109711, _109713, _109715, _109717, _109814], hAPP(_109814, 1562 ^ [_109707, _109709, _109711, _109713, _109715, _109717, _109814]))]]]]], (1570 ^ _81967) ^ [_110135, _110137, _110139, _110141, _110143] : [hBOOL(hAPP(_110135, hAPP(hAPP(c_Product__Type_OPair(_110137, _110139), _110141), _110143))), -(hBOOL(c_Product__Type_Ocurry(_110137, _110139, tc_HOL_Obool, _110135, _110141, _110143)))], (1576 ^ _81967) ^ [_110252, _110254, _110256] : [hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool)), _110252), 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), _110254), _110256)), _110252)), 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), _110256), _110254)), _110252))], (1586 ^ _81967) ^ [] : [-(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)))))], (1588 ^ _81967) ^ [_110458, _110460, _110462, _110464, _110466, _110468] : [-(c_Product__Type_Ocurry(_110458, _110460, _110462, _110464, _110466, _110468) = hAPP(_110464, hAPP(hAPP(c_Product__Type_OPair(_110458, _110460), _110466), _110468)))], (1590 ^ _81967) ^ [_110509, _110511, _110513] : [-(_110509 = _110511), hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool)), _110513), 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, _110513), _110509), _110511)), c_Arrow__Order__Mirabelle_OLin)))], (1600 ^ _81967) ^ [_110677, _110679, _110681] : [-(_110677 = _110679), hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool)), _110681), 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(_110681, _110677, _110679)), c_Arrow__Order__Mirabelle_OLin)))], (1610 ^ _81967) ^ [_110836] : [hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool)), _110836), 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, _110836)), c_Arrow__Order__Mirabelle_OProf)))], (1616 ^ _81967) ^ [_110938, _110940, _110942, _110944, _110946] : [-(_110938 = _110940), hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool)), _110942), c_Arrow__Order__Mirabelle_OLin)), 1623 ^ _81967 : [(1656 ^ _81967) ^ [] : [-(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), _110944), _110946)), hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Oabove, _110942), _110938), _110940)))), -(_110944 = _110946), 1663 ^ _81967 : [(1664 ^ _81967) ^ [] : [-(_110944 = _110940)], (1666 ^ _81967) ^ [] : [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), _110938), _110946)), _110942))]], 1667 ^ _81967 : [(1668 ^ _81967) ^ [] : [_110944 = _110940], (1670 ^ _81967) ^ [] : [1671 ^ _81967 : [(1672 ^ _81967) ^ [] : [-(_110946 = _110940)], (1674 ^ _81967) ^ [] : [_110944 = _110938], (1676 ^ _81967) ^ [] : [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), _110944), _110938)), _110942))]], 1677 ^ _81967 : [(1678 ^ _81967) ^ [] : [_110946 = _110940], (1680 ^ _81967) ^ [] : [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), _110944), _110946)), _110942))]]]]], (1624 ^ _81967) ^ [] : [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), _110944), _110946)), hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Oabove, _110942), _110938), _110940))), 1627 ^ _81967 : [(1628 ^ _81967) ^ [] : [_110944 = _110946], (1630 ^ _81967) ^ [] : [_110944 = _110940, -(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), _110938), _110946)), _110942)))], (1636 ^ _81967) ^ [] : [-(_110944 = _110940), 1639 ^ _81967 : [(1650 ^ _81967) ^ [] : [-(_110946 = _110940), -(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), _110944), _110946)), _110942)))], (1640 ^ _81967) ^ [] : [_110946 = _110940, -(_110944 = _110938), -(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), _110944), _110938)), _110942)))]]]]]]], (1684 ^ _81967) ^ [_111995, _111997, _111999, _112001, _112003] : [-(_111995 = _111997), hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool)), _111999), c_Arrow__Order__Mirabelle_OLin)), 1691 ^ _81967 : [(1724 ^ _81967) ^ [] : [-(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), _112001), _112003)), c_Arrow__Order__Mirabelle_Obelow(_111999, _111995, _111997)))), -(_112001 = _112003), 1731 ^ _81967 : [(1732 ^ _81967) ^ [] : [-(_112003 = _111995)], (1734 ^ _81967) ^ [] : [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), _112001), _111997)), _111999))]], 1735 ^ _81967 : [(1736 ^ _81967) ^ [] : [_112003 = _111995], (1738 ^ _81967) ^ [] : [1739 ^ _81967 : [(1740 ^ _81967) ^ [] : [-(_112001 = _111995)], (1742 ^ _81967) ^ [] : [_112003 = _111997], (1744 ^ _81967) ^ [] : [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), _111997), _112003)), _111999))]], 1745 ^ _81967 : [(1746 ^ _81967) ^ [] : [_112001 = _111995], (1748 ^ _81967) ^ [] : [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), _112001), _112003)), _111999))]]]]], (1692 ^ _81967) ^ [] : [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), _112001), _112003)), c_Arrow__Order__Mirabelle_Obelow(_111999, _111995, _111997))), 1695 ^ _81967 : [(1696 ^ _81967) ^ [] : [_112001 = _112003], (1698 ^ _81967) ^ [] : [_112003 = _111995, -(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), _112001), _111997)), _111999)))], (1704 ^ _81967) ^ [] : [-(_112003 = _111995), 1707 ^ _81967 : [(1718 ^ _81967) ^ [] : [-(_112001 = _111995), -(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), _112001), _112003)), _111999)))], (1708 ^ _81967) ^ [] : [_112001 = _111995, -(_112003 = _111997), -(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), _111997), _112003)), _111999)))]]]]]]], (1752 ^ _81967) ^ [_113038, _113040, _113042, _113044, _113046] : [hBOOL(c_Product__Type_Ocurry(_113038, _113040, tc_HOL_Obool, _113042, _113044, _113046)), -(hBOOL(hAPP(_113042, hAPP(hAPP(c_Product__Type_OPair(_113038, _113040), _113044), _113046))))], (1758 ^ _81967) ^ [_113155, _113157, _113159, _113161, _113163] : [hBOOL(c_Product__Type_Ocurry(_113155, _113157, tc_HOL_Obool, _113159, _113161, _113163)), -(hBOOL(hAPP(_113159, hAPP(hAPP(c_Product__Type_OPair(_113155, _113157), _113161), _113163))))], (1764 ^ _81967) ^ [_113272, _113274, _113276, _113278, _113280, _113282] : [-(c_Product__Type_Ocurry(_113272, _113274, _113276, _113278, _113280, _113282) = hAPP(_113278, hAPP(hAPP(c_Product__Type_OPair(_113272, _113274), _113280), _113282)))], (1766 ^ _81967) ^ [_113324, _113326] : [hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool)), _113324), 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(_113324, _113326)), c_Arrow__Order__Mirabelle_OLin)))], (1772 ^ _81967) ^ [_113427, _113429] : [hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool)), _113427), 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(_113427, _113429)), c_Arrow__Order__Mirabelle_OLin)))], (1778 ^ _81967) ^ [_113530, _113532, _113534] : [hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool)), _113530), c_Arrow__Order__Mirabelle_OLin)), -(_113532 = _113534), 1785 ^ _81967 : [(1786 ^ _81967) ^ [] : [-(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), _113532), _113534)), _113530))), -(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), _113534), _113532)), _113530)))], (1792 ^ _81967) ^ [] : [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), _113534), _113532)), _113530)), 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), _113532), _113534)), _113530))]]], (1798 ^ _81967) ^ [_113853, _113855, _113857, _113859] : [hAPP(hAPP(c_COMBC(_113853, tc_fun(tc_prod(_113853, _113855), tc_HOL_Obool), tc_fun(_113855, tc_HOL_Obool)), hAPP(c_COMBB(tc_fun(_113855, tc_fun(tc_fun(tc_prod(_113853, _113855), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_113853, _113855), tc_HOL_Obool), tc_fun(_113855, tc_HOL_Obool)), _113853, c_COMBC(_113855, tc_fun(tc_prod(_113853, _113855), tc_HOL_Obool), tc_HOL_Obool)), hAPP(c_COMBB(tc_fun(_113855, tc_prod(_113853, _113855)), tc_fun(_113855, tc_fun(tc_fun(tc_prod(_113853, _113855), tc_HOL_Obool), tc_HOL_Obool)), _113853, c_COMBB(tc_prod(_113853, _113855), tc_fun(tc_fun(tc_prod(_113853, _113855), tc_HOL_Obool), tc_HOL_Obool), _113855, c_member(tc_prod(_113853, _113855)))), c_Product__Type_OPair(_113853, _113855)))), _113857) = hAPP(hAPP(c_COMBC(_113853, tc_fun(tc_prod(_113853, _113855), tc_HOL_Obool), tc_fun(_113855, tc_HOL_Obool)), hAPP(c_COMBB(tc_fun(_113855, tc_fun(tc_fun(tc_prod(_113853, _113855), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_113853, _113855), tc_HOL_Obool), tc_fun(_113855, tc_HOL_Obool)), _113853, c_COMBC(_113855, tc_fun(tc_prod(_113853, _113855), tc_HOL_Obool), tc_HOL_Obool)), hAPP(c_COMBB(tc_fun(_113855, tc_prod(_113853, _113855)), tc_fun(_113855, tc_fun(tc_fun(tc_prod(_113853, _113855), tc_HOL_Obool), tc_HOL_Obool)), _113853, c_COMBB(tc_prod(_113853, _113855), tc_fun(tc_fun(tc_prod(_113853, _113855), tc_HOL_Obool), tc_HOL_Obool), _113855, c_member(tc_prod(_113853, _113855)))), c_Product__Type_OPair(_113853, _113855)))), _113859), -(_113857 = _113859)], (1804 ^ _81967) ^ [_114378, _114380, _114382, _114384] : [_114382 = _114384, -(hAPP(hAPP(c_COMBC(_114378, tc_fun(tc_prod(_114378, _114380), tc_HOL_Obool), tc_fun(_114380, tc_HOL_Obool)), hAPP(c_COMBB(tc_fun(_114380, tc_fun(tc_fun(tc_prod(_114378, _114380), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_114378, _114380), tc_HOL_Obool), tc_fun(_114380, tc_HOL_Obool)), _114378, c_COMBC(_114380, tc_fun(tc_prod(_114378, _114380), tc_HOL_Obool), tc_HOL_Obool)), hAPP(c_COMBB(tc_fun(_114380, tc_prod(_114378, _114380)), tc_fun(_114380, tc_fun(tc_fun(tc_prod(_114378, _114380), tc_HOL_Obool), tc_HOL_Obool)), _114378, c_COMBB(tc_prod(_114378, _114380), tc_fun(tc_fun(tc_prod(_114378, _114380), tc_HOL_Obool), tc_HOL_Obool), _114380, c_member(tc_prod(_114378, _114380)))), c_Product__Type_OPair(_114378, _114380)))), _114382) = hAPP(hAPP(c_COMBC(_114378, tc_fun(tc_prod(_114378, _114380), tc_HOL_Obool), tc_fun(_114380, tc_HOL_Obool)), hAPP(c_COMBB(tc_fun(_114380, tc_fun(tc_fun(tc_prod(_114378, _114380), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_114378, _114380), tc_HOL_Obool), tc_fun(_114380, tc_HOL_Obool)), _114378, c_COMBC(_114380, tc_fun(tc_prod(_114378, _114380), tc_HOL_Obool), tc_HOL_Obool)), hAPP(c_COMBB(tc_fun(_114380, tc_prod(_114378, _114380)), tc_fun(_114380, tc_fun(tc_fun(tc_prod(_114378, _114380), tc_HOL_Obool), tc_HOL_Obool)), _114378, c_COMBB(tc_prod(_114378, _114380), tc_fun(tc_fun(tc_prod(_114378, _114380), tc_HOL_Obool), tc_HOL_Obool), _114380, c_member(tc_prod(_114378, _114380)))), c_Product__Type_OPair(_114378, _114380)))), _114384))], (1810 ^ _81967) ^ [_114927, _114929, _114931] : [hAPP(hAPP(c_COMBC(_114927, tc_fun(_114927, tc_HOL_Obool), tc_HOL_Obool), c_member(_114927)), _114929) = hAPP(hAPP(c_COMBC(_114927, tc_fun(_114927, tc_HOL_Obool), tc_HOL_Obool), c_member(_114927)), _114931), -(_114929 = _114931)], (1816 ^ _81967) ^ [_115062, _115064, _115066] : [_115064 = _115066, -(hAPP(hAPP(c_COMBC(_115062, tc_fun(_115062, tc_HOL_Obool), tc_HOL_Obool), c_member(_115062)), _115064) = hAPP(hAPP(c_COMBC(_115062, tc_fun(_115062, tc_HOL_Obool), tc_HOL_Obool), c_member(_115062)), _115066))], (1822 ^ _81967) ^ [_115199, _115201] : [-(_115199 = _115201), 1826 ^ _81967 : [(1827 ^ _81967) ^ [] : [-(hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool)), 1825 ^ [_115199, _115201]), c_Arrow__Order__Mirabelle_OLin)))], (1829 ^ _81967) ^ [] : [-(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), _115199), _115201)), 1825 ^ [_115199, _115201])))]]], (1831 ^ _81967) ^ [_115329, _115331, _115333, _115335, _115337, _115339] : [c_Recdef_Owfrec__rel(_115329, _115331, _115333, _115335, _115337, _115339), 1835 ^ _81967 : [(1836 ^ _81967) ^ [] : [-(_115339 = hAPP(hAPP(_115335, 1834 ^ [_115329, _115331, _115333, _115335, _115337, _115339]), _115337))], (1838 ^ _81967) ^ [_115551] : [hBOOL(hAPP(hAPP(c_member(tc_prod(_115329, _115329)), hAPP(hAPP(c_Product__Type_OPair(_115329, _115329), _115551), _115337)), _115333)), -(c_Recdef_Owfrec__rel(_115329, _115331, _115333, _115335, _115551, hAPP(1834 ^ [_115329, _115331, _115333, _115335, _115337, _115339], _115551)))]]], (1844 ^ _81967) ^ [_115722, _115724, _115726, _115728, _115730, _115732] : [-(c_Recdef_Owfrec__rel(_115722, _115724, _115726, _115728, _115730, _115732)), 1845 ^ _81967 : [(1846 ^ _81967) ^ [_115817] : [_115732 = hAPP(hAPP(_115728, _115817), _115730), 1850 ^ _81967 : [(1851 ^ _81967) ^ [] : [-(hBOOL(hAPP(hAPP(c_member(tc_prod(_115722, _115722)), hAPP(hAPP(c_Product__Type_OPair(_115722, _115722), 1849 ^ [_115722, _115724, _115726, _115728, _115730, _115732, _115817]), _115730)), _115726)))], (1853 ^ _81967) ^ [] : [c_Recdef_Owfrec__rel(_115722, _115724, _115726, _115728, 1849 ^ [_115722, _115724, _115726, _115728, _115730, _115732, _115817], hAPP(_115817, 1849 ^ [_115722, _115724, _115726, _115728, _115730, _115732, _115817]))]]]]], (1857 ^ _81967) ^ [_116120, _116122, _116124, _116126, _116128, _116130] : [1859 ^ _81967 : [(1860 ^ _81967) ^ [] : [-(hBOOL(hAPP(hAPP(c_member(tc_prod(_116120, _116120)), hAPP(hAPP(c_Product__Type_OPair(_116120, _116120), 1858 ^ [_116120, _116122, _116124, _116126, _116128, _116130]), _116122)), _116124)))], (1862 ^ _81967) ^ [] : [c_Recdef_Owfrec__rel(_116120, _116126, _116124, _116128, 1858 ^ [_116120, _116122, _116124, _116126, _116128, _116130], hAPP(_116130, 1858 ^ [_116120, _116122, _116124, _116126, _116128, _116130]))]], -(c_Recdef_Owfrec__rel(_116120, _116126, _116124, _116128, _116122, hAPP(hAPP(_116128, _116130), _116122)))], (1866 ^ _81967) ^ [_116388, _116390] : [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))), _116388), 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)))), 1872 ^ _81967 : [(1873 ^ _81967) ^ [] : [-(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))), 1871 ^ [_116388, _116390]), c_Arrow__Order__Mirabelle_OProf)))], (1877 ^ _81967) ^ [] : [1874 ^ [_116388, _116390] = 1875 ^ [_116388, _116390]], (1879 ^ _81967) ^ [] : [-(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), 1874 ^ [_116388, _116390]), 1875 ^ [_116388, _116390])), hAPP(1871 ^ [_116388, _116390], _116390))))], (1881 ^ _81967) ^ [] : [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), 1874 ^ [_116388, _116390]), 1875 ^ [_116388, _116390])), hAPP(_116388, 1871 ^ [_116388, _116390])))]], -(c_Arrow__Order__Mirabelle_Odictator(_116388, _116390))], (1895 ^ _81967) ^ [_117189, _117191, _117193] : [1897 ^ _81967 : [(1898 ^ _81967) ^ [] : [-(hBOOL(hAPP(hAPP(c_member(tc_prod(_117189, _117189)), hAPP(hAPP(c_Product__Type_OPair(_117189, _117189), 1896 ^ [_117189, _117191, _117193]), _117191)), _117193)))], (1900 ^ _81967) ^ [] : [hBOOL(hAPP(hAPP(c_member(_117189), 1896 ^ [_117189, _117191, _117193]), c_Wellfounded_Oacc(_117189, _117193)))]], -(hBOOL(hAPP(hAPP(c_member(_117189), _117191), c_Wellfounded_Oacc(_117189, _117193))))], (1885 ^ _81967) ^ [_116936, _116938, _116940] : [hBOOL(hAPP(hAPP(c_member(_116936), _116938), c_Wellfounded_Oacc(_116936, _116940))), 1888 ^ _81967 : [(1889 ^ _81967) ^ [_117050] : [hBOOL(hAPP(hAPP(c_member(tc_prod(_116936, _116936)), hAPP(hAPP(c_Product__Type_OPair(_116936, _116936), _117050), _116938)), _116940)), -(hBOOL(hAPP(hAPP(c_member(_116936), _117050), c_Wellfounded_Oacc(_116936, _116940))))]]], (1904 ^ _81967) ^ [_117429, _117431, _117433, _117435] : [hBOOL(hAPP(hAPP(c_member(_117429), _117431), c_Wellfounded_Oacc(_117429, _117433))), hBOOL(hAPP(hAPP(c_member(tc_prod(_117429, _117429)), hAPP(hAPP(c_Product__Type_OPair(_117429, _117429), _117435), _117431)), _117433)), -(hBOOL(hAPP(hAPP(c_member(_117429), _117435), c_Wellfounded_Oacc(_117429, _117433))))], (1914 ^ _81967) ^ [_117644, _117646, _117648, _117650, _117652, _117654] : [hBOOL(hAPP(hAPP(c_member(tc_prod(_117648, _117648)), hAPP(hAPP(c_Product__Type_OPair(_117648, _117648), _117650), _117652)), _117644)), -(hAPP(hAPP(hAPP(hAPP(c_Recdef_Ocut(_117648, _117654), _117646), _117644), _117652), _117650) = hAPP(_117646, _117650))], (1930 ^ _81967) ^ [_118111, _118113, _118115, _118117, _118119, _118121] : [1932 ^ _81967 : [(1933 ^ _81967) ^ [] : [-(hBOOL(hAPP(hAPP(c_member(tc_prod(_118111, _118111)), hAPP(hAPP(c_Product__Type_OPair(_118111, _118111), 1931 ^ [_118111, _118113, _118115, _118117, _118119, _118121]), _118119)), _118117)))], (1935 ^ _81967) ^ [] : [hAPP(_118115, 1931 ^ [_118111, _118113, _118115, _118117, _118119, _118121]) = hAPP(_118121, 1931 ^ [_118111, _118113, _118115, _118117, _118119, _118121])]], -(hAPP(hAPP(hAPP(c_Recdef_Ocut(_118111, _118113), _118115), _118117), _118119) = hAPP(hAPP(hAPP(c_Recdef_Ocut(_118111, _118113), _118121), _118117), _118119))], (1920 ^ _81967) ^ [_117830, _117832, _117834, _117836, _117838, _117840] : [hAPP(hAPP(hAPP(c_Recdef_Ocut(_117830, _117832), _117834), _117836), _117838) = hAPP(hAPP(hAPP(c_Recdef_Ocut(_117830, _117832), _117840), _117836), _117838), 1923 ^ _81967 : [(1924 ^ _81967) ^ [_117974] : [hBOOL(hAPP(hAPP(c_member(tc_prod(_117830, _117830)), hAPP(hAPP(c_Product__Type_OPair(_117830, _117830), _117974), _117838)), _117836)), -(hAPP(_117834, _117974) = hAPP(_117840, _117974))]]], (1939 ^ _81967) ^ [_118422, _118424, _118426] : [hBOOL(hAPP(hAPP(c_member(_118422), _118424), hAPP(c_fequal, _118426))), -(_118424 = _118426)], (1945 ^ _81967) ^ [_118517, _118519, _118521] : [_118519 = _118521, -(hBOOL(hAPP(hAPP(c_member(_118517), _118519), hAPP(c_fequal, _118521))))], (1951 ^ _81967) ^ [_118618, _118620, _118622, _118624, _118626, _118628] : [hBOOL(hAPP(hAPP(c_member(tc_prod(_118618, _118618)), hAPP(hAPP(c_Product__Type_OPair(_118618, _118618), _118620), _118622)), _118624)), -(hAPP(hAPP(hAPP(hAPP(c_Recdef_Ocut(_118618, _118626), _118628), _118624), _118622), _118620) = hAPP(_118628, _118620))], (1957 ^ _81967) ^ [_118777, _118779, _118781, _118783, _118785, _118787] : [hBOOL(hAPP(hAPP(c_member(tc_fun(_118777, _118779)), _118781), c_FuncSet_OPi(_118777, _118779, _118783, _118785))), -(hBOOL(hAPP(hAPP(c_member(_118779), hAPP(_118781, _118787)), hAPP(_118785, _118787)))), hBOOL(hAPP(hAPP(c_member(_118777), _118787), _118783))], (1967 ^ _81967) ^ [_118996, _118998, _119000, _119002, _119004, _119006] : [hBOOL(hAPP(hAPP(c_member(tc_fun(_118996, _118998)), _119000), c_FuncSet_OPi(_118996, _118998, _119002, c_COMBK(tc_fun(_118998, tc_HOL_Obool), _118996, _119004)))), hBOOL(hAPP(hAPP(c_member(_118996), _119006), _119002)), -(hBOOL(hAPP(hAPP(c_member(_118998), hAPP(_119000, _119006)), _119004)))], (1977 ^ _81967) ^ [_119219, _119221, _119223, _119225, _119227, _119229] : [hBOOL(hAPP(hAPP(c_member(tc_fun(_119219, _119221)), _119223), c_FuncSet_OPi(_119219, _119221, _119225, _119227))), hBOOL(hAPP(hAPP(c_member(_119219), _119229), _119225)), -(hBOOL(hAPP(hAPP(c_member(_119221), hAPP(_119223, _119229)), hAPP(_119227, _119229))))], (1987 ^ _81967) ^ [_119434, _119436] : [-(hBOOL(hAPP(hAPP(c_member(tc_fun(_119434, _119434)), c_COMBI(_119434)), c_FuncSet_OPi(_119434, _119434, _119436, c_COMBK(tc_fun(_119434, tc_HOL_Obool), _119434, _119436)))))], (1989 ^ _81967) ^ [_119483, _119485, _119487, _119489] : [-(c_Recdef_Oadm__wf(_119483, _119485, _119487, hAPP(hAPP(c_COMBC(tc_fun(_119483, _119485), tc_fun(_119483, _119483), tc_fun(_119483, _119485)), hAPP(c_COMBB(tc_fun(_119483, tc_fun(_119483, _119485)), tc_fun(tc_fun(_119483, _119483), tc_fun(_119483, _119485)), tc_fun(_119483, _119485), c_COMBS(_119483, _119483, _119485)), hAPP(c_COMBB(tc_fun(_119483, tc_fun(_119483, _119485)), tc_fun(_119483, tc_fun(_119483, _119485)), tc_fun(_119483, _119485), c_COMBB(tc_fun(_119483, _119485), tc_fun(_119483, _119485), _119483, _119489)), hAPP(hAPP(c_COMBC(tc_fun(_119483, _119485), tc_fun(tc_prod(_119483, _119483), tc_HOL_Obool), tc_fun(_119483, tc_fun(_119483, _119485))), c_Recdef_Ocut(_119483, _119485)), _119487)))), c_COMBI(_119483))))], (1991 ^ _81967) ^ [_119645, _119647, _119649] : [hBOOL(hAPP(c_Wellfounded_Oaccp(_119645, hAPP(hAPP(c_COMBC(_119645, tc_fun(tc_prod(_119645, _119645), tc_HOL_Obool), tc_fun(_119645, tc_HOL_Obool)), hAPP(c_COMBB(tc_fun(_119645, tc_fun(tc_fun(tc_prod(_119645, _119645), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_119645, _119645), tc_HOL_Obool), tc_fun(_119645, tc_HOL_Obool)), _119645, c_COMBC(_119645, tc_fun(tc_prod(_119645, _119645), tc_HOL_Obool), tc_HOL_Obool)), hAPP(c_COMBB(tc_fun(_119645, tc_prod(_119645, _119645)), tc_fun(_119645, tc_fun(tc_fun(tc_prod(_119645, _119645), tc_HOL_Obool), tc_HOL_Obool)), _119645, c_COMBB(tc_prod(_119645, _119645), tc_fun(tc_fun(tc_prod(_119645, _119645), tc_HOL_Obool), tc_HOL_Obool), _119645, c_member(tc_prod(_119645, _119645)))), c_Product__Type_OPair(_119645, _119645)))), _119647)), _119649)), -(hBOOL(hAPP(hAPP(c_member(_119645), _119649), c_Wellfounded_Oacc(_119645, _119647))))], (1997 ^ _81967) ^ [_119974, _119976, _119978] : [hBOOL(hAPP(hAPP(c_member(_119974), _119978), c_Wellfounded_Oacc(_119974, _119976))), -(hBOOL(hAPP(c_Wellfounded_Oaccp(_119974, hAPP(hAPP(c_COMBC(_119974, tc_fun(tc_prod(_119974, _119974), tc_HOL_Obool), tc_fun(_119974, tc_HOL_Obool)), hAPP(c_COMBB(tc_fun(_119974, tc_fun(tc_fun(tc_prod(_119974, _119974), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_119974, _119974), tc_HOL_Obool), tc_fun(_119974, tc_HOL_Obool)), _119974, c_COMBC(_119974, tc_fun(tc_prod(_119974, _119974), tc_HOL_Obool), tc_HOL_Obool)), hAPP(c_COMBB(tc_fun(_119974, tc_prod(_119974, _119974)), tc_fun(_119974, tc_fun(tc_fun(tc_prod(_119974, _119974), tc_HOL_Obool), tc_HOL_Obool)), _119974, c_COMBB(tc_prod(_119974, _119974), tc_fun(tc_fun(tc_prod(_119974, _119974), tc_HOL_Obool), tc_HOL_Obool), _119974, c_member(tc_prod(_119974, _119974)))), c_Product__Type_OPair(_119974, _119974)))), _119976)), _119978)))], (2003 ^ _81967) ^ [_120308, _120310, _120312] : [-(hBOOL(hAPP(hAPP(c_member(_120308), _120310), c_Wellfounded_Oacc(_120308, _120312)))), 2007 ^ _81967 : [(2008 ^ _81967) ^ [] : [-(hBOOL(hAPP(hAPP(c_member(tc_prod(_120308, _120308)), hAPP(hAPP(c_Product__Type_OPair(_120308, _120308), 2006 ^ [_120308, _120310, _120312]), _120310)), _120312)))], (2010 ^ _81967) ^ [] : [hBOOL(hAPP(hAPP(c_member(_120308), 2006 ^ [_120308, _120310, _120312]), c_Wellfounded_Oacc(_120308, _120312)))]]], (2012 ^ _81967) ^ [_120535, _120537, _120539] : [2014 ^ _81967 : [(2015 ^ _81967) ^ [] : [-(hBOOL(hAPP(hAPP(c_member(tc_prod(_120535, _120535)), hAPP(hAPP(c_Product__Type_OPair(_120535, _120535), 2013 ^ [_120535, _120537, _120539]), _120537)), _120539)))], (2017 ^ _81967) ^ [] : [hBOOL(hAPP(hAPP(c_member(_120535), 2013 ^ [_120535, _120537, _120539]), c_Wellfounded_Oacc(_120535, _120539)))]], -(hBOOL(hAPP(hAPP(c_member(_120535), _120537), c_Wellfounded_Oacc(_120535, _120539))))], (2021 ^ _81967) ^ [_120794, _120796, _120798, _120800, _120802, _120804] : [hBOOL(hAPP(hAPP(c_member(tc_prod(_120794, _120794)), hAPP(hAPP(c_Product__Type_OPair(_120794, _120794), _120796), _120798)), _120800)), -(hAPP(hAPP(hAPP(hAPP(c_Recdef_Ocut(_120794, _120802), _120804), _120800), _120798), _120796) = hAPP(_120804, _120796))], (2027 ^ _81967) ^ [_120947, _120949, _120951, _120953, _120955, _120957] : [-(hBOOL(hAPP(hAPP(c_member(tc_prod(_120947, _120947)), hAPP(hAPP(c_Product__Type_OPair(_120947, _120947), _120949), _120951)), _120953))), -(hAPP(hAPP(hAPP(hAPP(c_Recdef_Ocut(_120947, _120955), _120957), _120953), _120951), _120949) = c_HOL_Oundefined(_120955))], (2043 ^ _81967) ^ [_121233, _121235, _121237] : [2045 ^ _81967 : [(2046 ^ _81967) ^ [] : [-(hBOOL(hAPP(hAPP(_121235, 2044 ^ [_121233, _121235, _121237]), _121237)))], (2048 ^ _81967) ^ [] : [hBOOL(hAPP(c_Wellfounded_Oaccp(_121233, _121235), 2044 ^ [_121233, _121235, _121237]))]], -(hBOOL(hAPP(c_Wellfounded_Oaccp(_121233, _121235), _121237)))], (2033 ^ _81967) ^ [_121047, _121049, _121051] : [hBOOL(hAPP(c_Wellfounded_Oaccp(_121047, _121049), _121051)), 2036 ^ _81967 : [(2037 ^ _81967) ^ [_121132] : [hBOOL(hAPP(hAPP(_121049, _121132), _121051)), -(hBOOL(hAPP(c_Wellfounded_Oaccp(_121047, _121049), _121132)))]]], (2062 ^ _81967) ^ [_121623, _121625, _121627] : [2064 ^ _81967 : [(2065 ^ _81967) ^ [] : [-(hBOOL(hAPP(hAPP(_121625, 2063 ^ [_121623, _121625, _121627]), _121627)))], (2067 ^ _81967) ^ [] : [hBOOL(hAPP(c_Wellfounded_Oaccp(_121623, _121625), 2063 ^ [_121623, _121625, _121627]))]], -(hBOOL(hAPP(c_Wellfounded_Oaccp(_121623, _121625), _121627)))], (2052 ^ _81967) ^ [_121437, _121439, _121441] : [hBOOL(hAPP(c_Wellfounded_Oaccp(_121437, _121439), _121441)), 2055 ^ _81967 : [(2056 ^ _81967) ^ [_121522] : [hBOOL(hAPP(hAPP(_121439, _121522), _121441)), -(hBOOL(hAPP(c_Wellfounded_Oaccp(_121437, _121439), _121522)))]]], (2071 ^ _81967) ^ [_121809, _121811, _121813, _121815] : [hBOOL(hAPP(c_Wellfounded_Oaccp(_121809, _121811), _121813)), hBOOL(hAPP(hAPP(_121811, _121815), _121813)), -(hBOOL(hAPP(c_Wellfounded_Oaccp(_121809, _121811), _121815)))], (2081 ^ _81967) ^ [_121976, _121978, _121980, _121982, _121984] : [hBOOL(hAPP(hAPP(c_member(tc_fun(_121976, _121978)), _121980), c_FuncSet_Oextensional(_121976, _121978, _121982))), -(hBOOL(hAPP(hAPP(c_member(_121976), _121984), _121982))), -(hAPP(_121980, _121984) = c_HOL_Oundefined(_121978))], (2091 ^ _81967) ^ [_122126, _122128, _122130, _122132, _122134] : [2093 ^ _81967 : [(2094 ^ _81967) ^ [] : [-(hBOOL(hAPP(hAPP(c_member(_122126), 2092 ^ [_122126, _122128, _122130, _122132, _122134]), _122128)))], (2096 ^ _81967) ^ [] : [hBOOL(hAPP(hAPP(c_member(_122130), hAPP(_122132, 2092 ^ [_122126, _122128, _122130, _122132, _122134])), hAPP(_122134, 2092 ^ [_122126, _122128, _122130, _122132, _122134])))]], -(hBOOL(hAPP(hAPP(c_member(tc_fun(_122126, _122130)), _122132), c_FuncSet_OPi(_122126, _122130, _122128, _122134))))], (2100 ^ _81967) ^ [_122407, _122409, _122411, _122413] : [c_Recdef_Oadm__wf(_122407, _122409, _122411, _122413), 2103 ^ _81967 : [(2104 ^ _81967) ^ [_122536, _122538, _122540] : [2106 ^ _81967 : [(2107 ^ _81967) ^ [] : [-(hBOOL(hAPP(hAPP(c_member(tc_prod(_122407, _122407)), hAPP(hAPP(c_Product__Type_OPair(_122407, _122407), 2105 ^ [_122407, _122409, _122411, _122413, _122536, _122538, _122540]), _122536)), _122411)))], (2109 ^ _81967) ^ [] : [hAPP(_122540, 2105 ^ [_122407, _122409, _122411, _122413, _122536, _122538, _122540]) = hAPP(_122538, 2105 ^ [_122407, _122409, _122411, _122413, _122536, _122538, _122540])]], -(hAPP(hAPP(_122413, _122540), _122536) = hAPP(hAPP(_122413, _122538), _122536))]]], (2113 ^ _81967) ^ [_122813, _122815, _122817, _122819] : [-(c_Recdef_Oadm__wf(_122813, _122815, _122817, _122819)), 2117 ^ _81967 : [(2124 ^ _81967) ^ [] : [hAPP(hAPP(_122819, 2114 ^ [_122813, _122815, _122817, _122819]), 2116 ^ [_122813, _122815, _122817, _122819]) = hAPP(hAPP(_122819, 2115 ^ [_122813, _122815, _122817, _122819]), 2116 ^ [_122813, _122815, _122817, _122819])], (2118 ^ _81967) ^ [_123030] : [hBOOL(hAPP(hAPP(c_member(tc_prod(_122813, _122813)), hAPP(hAPP(c_Product__Type_OPair(_122813, _122813), _123030), 2116 ^ [_122813, _122815, _122817, _122819])), _122817)), -(hAPP(2114 ^ [_122813, _122815, _122817, _122819], _123030) = hAPP(2115 ^ [_122813, _122815, _122817, _122819], _123030))]]], (2128 ^ _81967) ^ [_123337, _123339, _123341, _123343, _123345] : [2130 ^ _81967 : [(2131 ^ _81967) ^ [] : [-(hBOOL(hAPP(hAPP(c_member(_123337), 2129 ^ [_123337, _123339, _123341, _123343, _123345]), _123339)))], (2133 ^ _81967) ^ [] : [hBOOL(hAPP(hAPP(c_member(_123341), hAPP(_123343, 2129 ^ [_123337, _123339, _123341, _123343, _123345])), _123345))]], -(hBOOL(hAPP(hAPP(c_member(tc_fun(_123337, _123341)), _123343), c_FuncSet_OPi(_123337, _123341, _123339, c_COMBK(tc_fun(_123341, tc_HOL_Obool), _123337, _123345)))))], (2137 ^ _81967) ^ [_123589, _123591, _123593, _123595, _123597, _123599] : [hBOOL(hAPP(hAPP(c_member(tc_fun(_123589, _123591)), _123593), c_FuncSet_Oextensional__funcset(_123589, _123591, _123595, _123597))), -(hBOOL(hAPP(hAPP(c_member(_123589), _123599), _123595))), -(hAPP(_123593, _123599) = c_HOL_Oundefined(_123591))], (2147 ^ _81967) ^ [_123743, _123745, _123747, _123749, _123751, _123753] : [2149 ^ _81967 : [(2150 ^ _81967) ^ [] : [-(hBOOL(hAPP(hAPP(c_member(_123743), 2148 ^ [_123743, _123745, _123747, _123749, _123751, _123753]), _123745)))], (2152 ^ _81967) ^ [] : [hAPP(_123747, 2148 ^ [_123743, _123745, _123747, _123749, _123751, _123753]) = hAPP(_123749, 2148 ^ [_123743, _123745, _123747, _123749, _123751, _123753])]], 2153 ^ _81967 : [(2154 ^ _81967) ^ [] : [hBOOL(hAPP(hAPP(c_member(tc_fun(_123743, _123751)), _123747), c_FuncSet_OPi(_123743, _123751, _123745, _123753))), -(hBOOL(hAPP(hAPP(c_member(tc_fun(_123743, _123751)), _123749), c_FuncSet_OPi(_123743, _123751, _123745, _123753))))], (2160 ^ _81967) ^ [] : [hBOOL(hAPP(hAPP(c_member(tc_fun(_123743, _123751)), _123749), c_FuncSet_OPi(_123743, _123751, _123745, _123753))), -(hBOOL(hAPP(hAPP(c_member(tc_fun(_123743, _123751)), _123747), c_FuncSet_OPi(_123743, _123751, _123745, _123753))))]]], (2166 ^ _81967) ^ [_124198, _124200, _124202, _124204, _124206] : [2168 ^ _81967 : [(2169 ^ _81967) ^ [] : [-(hBOOL(hAPP(hAPP(c_member(_124198), 2167 ^ [_124198, _124200, _124202, _124204, _124206]), _124200)))], (2171 ^ _81967) ^ [] : [hBOOL(hAPP(hAPP(c_member(_124202), hAPP(_124204, 2167 ^ [_124198, _124200, _124202, _124204, _124206])), hAPP(_124206, 2167 ^ [_124198, _124200, _124202, _124204, _124206])))]], -(hBOOL(hAPP(hAPP(c_member(tc_fun(_124198, _124202)), _124204), c_FuncSet_OPi(_124198, _124202, _124200, _124206))))], (2175 ^ _81967) ^ [_124458, _124460, _124462, _124464, _124466, _124468, _124470, _124472] : [hBOOL(hAPP(hAPP(c_member(tc_fun(_124458, _124460)), _124462), c_FuncSet_OPi(_124458, _124460, _124464, c_COMBK(tc_fun(_124460, tc_HOL_Obool), _124458, _124466)))), hBOOL(hAPP(hAPP(c_member(tc_fun(_124460, _124468)), _124470), c_FuncSet_OPi(_124460, _124468, _124466, c_COMBK(tc_fun(_124468, tc_HOL_Obool), _124460, _124472)))), -(hBOOL(hAPP(hAPP(c_member(tc_fun(_124458, _124468)), c_FuncSet_Ocompose(_124458, _124460, _124468, _124464, _124470, _124462)), c_FuncSet_OPi(_124458, _124468, _124464, c_COMBK(tc_fun(_124468, tc_HOL_Obool), _124458, _124472)))))], (2185 ^ _81967) ^ [_124757, _124759, _124761, _124763, _124765, _124767] : [-(hBOOL(hAPP(hAPP(c_member(tc_fun(_124757, _124759)), c_FuncSet_Ocompose(_124757, _124761, _124759, _124763, _124765, _124767)), c_FuncSet_Oextensional(_124757, _124759, _124763))))], (2187 ^ _81967) ^ [_124811, _124813, _124815, _124817, _124819, _124821, _124823] : [hBOOL(hAPP(hAPP(c_member(_124811), _124813), _124815)), -(hAPP(c_FuncSet_Ocompose(_124811, _124817, _124819, _124815, _124821, _124823), _124813) = hAPP(_124821, hAPP(_124823, _124813)))], (2193 ^ _81967) ^ [_124944, _124946, _124948, _124950, _124952, _124954] : [hBOOL(hAPP(hAPP(c_member(tc_fun(_124944, _124946)), _124948), c_FuncSet_Oextensional__funcset(_124944, _124946, _124950, _124952))), hBOOL(hAPP(hAPP(c_member(_124944), _124954), _124950)), -(hBOOL(hAPP(hAPP(c_member(_124946), hAPP(_124948, _124954)), _124952)))], (2203 ^ _81967) ^ [_125153, _125155, _125157, _125159, _125161, _125163, _125165, _125167, _125169, _125171, _125173] : [hBOOL(hAPP(hAPP(c_member(tc_fun(_125153, _125155)), _125157), c_FuncSet_OPi(_125153, _125155, _125159, c_COMBK(tc_fun(_125155, tc_HOL_Obool), _125153, _125161)))), hBOOL(hAPP(hAPP(c_member(tc_fun(_125155, _125163)), _125165), c_FuncSet_OPi(_125155, _125163, _125161, c_COMBK(tc_fun(_125163, tc_HOL_Obool), _125155, _125167)))), hBOOL(hAPP(hAPP(c_member(tc_fun(_125163, _125169)), _125171), c_FuncSet_OPi(_125163, _125169, _125167, c_COMBK(tc_fun(_125169, tc_HOL_Obool), _125163, _125173)))), -(c_FuncSet_Ocompose(_125153, _125163, _125169, _125159, _125171, c_FuncSet_Ocompose(_125153, _125155, _125163, _125159, _125165, _125157)) = c_FuncSet_Ocompose(_125153, _125155, _125169, _125159, c_FuncSet_Ocompose(_125155, _125163, _125169, _125161, _125171, _125165), _125157))], (2217 ^ _81967) ^ [_125576, _125578, _125580, _125582, _125584] : [hBOOL(hAPP(hAPP(c_member(tc_fun(_125576, _125578)), _125580), c_FuncSet_OPi(_125576, _125578, _125582, c_COMBK(tc_fun(_125578, tc_HOL_Obool), _125576, _125584)))), hBOOL(hAPP(hAPP(c_member(tc_fun(_125576, _125578)), _125580), c_FuncSet_Oextensional(_125576, _125578, _125582))), -(c_FuncSet_Ocompose(_125576, _125576, _125578, _125582, _125580, c_FuncSet_Orestrict(_125576, _125576, c_COMBI(_125576), _125582)) = _125580)], (2227 ^ _81967) ^ [_125817, _125819, _125821, _125823, _125825] : [hBOOL(hAPP(hAPP(c_member(tc_fun(_125817, _125819)), _125821), c_FuncSet_OPi(_125817, _125819, _125823, c_COMBK(tc_fun(_125819, tc_HOL_Obool), _125817, _125825)))), hBOOL(hAPP(hAPP(c_member(tc_fun(_125817, _125819)), _125821), c_FuncSet_Oextensional(_125817, _125819, _125823))), -(c_FuncSet_Ocompose(_125817, _125819, _125819, _125823, c_FuncSet_Orestrict(_125819, _125819, c_COMBI(_125819), _125825), _125821) = _125821)], (2237 ^ _81967) ^ [_126058, _126060, _126062, _126064, _126066] : [hBOOL(hAPP(hAPP(c_member(tc_fun(_126058, _126060)), _126062), c_FuncSet_Oextensional(_126058, _126060, _126064))), hBOOL(hAPP(hAPP(c_member(tc_fun(_126058, _126060)), _126066), c_FuncSet_Oextensional(_126058, _126060, _126064))), 2247 ^ _81967 : [(2248 ^ _81967) ^ [] : [-(hBOOL(hAPP(hAPP(c_member(_126058), 2246 ^ [_126058, _126060, _126062, _126064, _126066]), _126064)))], (2250 ^ _81967) ^ [] : [hAPP(_126062, 2246 ^ [_126058, _126060, _126062, _126064, _126066]) = hAPP(_126066, 2246 ^ [_126058, _126060, _126062, _126064, _126066])]], -(_126062 = _126066)], (2254 ^ _81967) ^ [_126439, _126441, _126443, _126445] : [-(c_FuncSet_Oextensional__funcset(_126439, _126441, _126443, _126445) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_fun(_126439, _126441), tc_HOL_Obool)), c_FuncSet_OPi(_126439, _126441, _126443, c_COMBK(tc_fun(_126441, tc_HOL_Obool), _126439, _126445))), c_FuncSet_Oextensional(_126439, _126441, _126443)))], (2256 ^ _81967) ^ [_126503, _126505, _126507, _126509] : [hBOOL(hAPP(hAPP(c_member(tc_prod(_126503, _126503)), hAPP(hAPP(c_Product__Type_OPair(_126503, _126503), _126505), _126507)), c_Transitive__Closure_Ortrancl(_126503, _126509))), hBOOL(hAPP(hAPP(c_member(_126503), _126507), c_Wellfounded_Oacc(_126503, _126509))), -(hBOOL(hAPP(hAPP(c_member(_126503), _126505), c_Wellfounded_Oacc(_126503, _126509))))], (2266 ^ _81967) ^ [_126724, _126726, _126728, _126730] : [hBOOL(hAPP(hAPP(c_member(_126724), _126726), c_Wellfounded_Oacc(_126724, _126728))), hBOOL(hAPP(hAPP(c_member(tc_prod(_126724, _126724)), hAPP(hAPP(c_Product__Type_OPair(_126724, _126724), _126730), _126726)), c_Transitive__Closure_Ortrancl(_126724, _126728))), -(hBOOL(hAPP(hAPP(c_member(_126724), _126730), c_Wellfounded_Oacc(_126724, _126728))))], (2276 ^ _81967) ^ [_126963, _126965, _126967, _126969, _126971] : [hBOOL(hAPP(hAPP(c_member(_126963), _126965), _126967)), -(hAPP(c_FuncSet_Orestrict(_126963, _126969, _126971, _126967), _126965) = hAPP(_126971, _126965))], (2282 ^ _81967) ^ [_127076, _127078, _127080, _127082, _127084] : [-(hBOOL(hAPP(hAPP(c_member(_127076), _127078), _127080))), -(hAPP(c_FuncSet_Orestrict(_127076, _127082, _127084, _127080), _127078) = c_HOL_Oundefined(_127082))], (2288 ^ _81967) ^ [_127155, _127157, _127159, _127161, _127163] : [hBOOL(hAPP(hAPP(c_member(_127155), _127157), _127159)), -(hAPP(c_FuncSet_Orestrict(_127155, _127161, _127163, _127159), _127157) = hAPP(_127163, _127157))], (2294 ^ _81967) ^ [_127268, _127270, _127272, _127274, _127276] : [-(hBOOL(hAPP(hAPP(c_member(_127268), _127270), _127272))), -(hAPP(c_FuncSet_Orestrict(_127268, _127274, _127276, _127272), _127270) = c_HOL_Oundefined(_127274))], (2300 ^ _81967) ^ [_127329, _127331, _127333, _127335] : [hBOOL(hAPP(_127329, _127331)), hBOOL(hAPP(_127333, _127331)), -(hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_127335, tc_HOL_Obool)), _127329), _127333), _127331)))], (2310 ^ _81967) ^ [_127500, _127502, _127504, _127506] : [hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_127500, tc_HOL_Obool)), _127502), _127504), _127506)), 2313 ^ _81967 : [(2314 ^ _81967) ^ [] : [-(hBOOL(hAPP(_127502, _127506)))], (2316 ^ _81967) ^ [] : [-(hBOOL(hAPP(_127504, _127506)))]]], (2318 ^ _81967) ^ [_127645, _127647, _127649, _127651] : [hBOOL(hAPP(hAPP(c_member(_127645), _127647), _127649)), hBOOL(hAPP(hAPP(c_member(_127645), _127647), _127651)), -(hBOOL(hAPP(hAPP(c_member(_127645), _127647), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_127645, tc_HOL_Obool)), _127649), _127651))))], (2328 ^ _81967) ^ [_127846, _127848, _127850, _127852] : [hBOOL(hAPP(hAPP(c_member(_127846), _127848), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_127846, tc_HOL_Obool)), _127850), _127852))), 2331 ^ _81967 : [(2332 ^ _81967) ^ [] : [-(hBOOL(hAPP(hAPP(c_member(_127846), _127848), _127850)))], (2334 ^ _81967) ^ [] : [-(hBOOL(hAPP(hAPP(c_member(_127846), _127848), _127852)))]]], (2336 ^ _81967) ^ [_128021, _128023, _128025, _128027] : [hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_128021, tc_HOL_Obool)), _128023), _128025), _128027)), -(hBOOL(hAPP(_128023, _128027)))], (2342 ^ _81967) ^ [_128132, _128134, _128136, _128138] : [hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_128132, tc_HOL_Obool)), _128134), _128136), _128138)), -(hBOOL(hAPP(_128136, _128138)))], (2348 ^ _81967) ^ [_128243, _128245] : [-(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_128243, tc_HOL_Obool)), _128245), _128245) = _128245)], (2350 ^ _81967) ^ [_128279, _128281, _128283] : [-(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_128279, tc_HOL_Obool)), _128281), _128283) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_128279, tc_HOL_Obool)), _128283), _128281))], (2352 ^ _81967) ^ [_128328, _128330, _128332] : [-(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_128328, tc_HOL_Obool)), _128330), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_128328, tc_HOL_Obool)), _128330), _128332)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_128328, tc_HOL_Obool)), _128330), _128332))], (2354 ^ _81967) ^ [_128388, _128390, _128392, _128394] : [-(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_128388, tc_HOL_Obool)), _128390), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_128388, tc_HOL_Obool)), _128392), _128394)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_128388, tc_HOL_Obool)), _128392), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_128388, tc_HOL_Obool)), _128390), _128394)))], (2356 ^ _81967) ^ [_128461, _128463, _128465, _128467] : [-(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_128461, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_128461, tc_HOL_Obool)), _128463), _128465)), _128467) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_128461, tc_HOL_Obool)), _128463), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_128461, tc_HOL_Obool)), _128465), _128467)))], (2358 ^ _81967) ^ [_128555, _128557, _128559, _128561] : [hBOOL(hAPP(hAPP(c_member(_128555), _128557), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_128555, tc_HOL_Obool)), _128559), _128561))), 2361 ^ _81967 : [(2362 ^ _81967) ^ [] : [-(hBOOL(hAPP(hAPP(c_member(_128555), _128557), _128559)))], (2364 ^ _81967) ^ [] : [-(hBOOL(hAPP(hAPP(c_member(_128555), _128557), _128561)))]]], (2366 ^ _81967) ^ [_128722, _128724, _128726, _128728] : [-(hBOOL(hAPP(hAPP(c_member(_128722), _128724), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_128722, tc_HOL_Obool)), _128726), _128728)))), hBOOL(hAPP(hAPP(c_member(_128722), _128724), _128726)), hBOOL(hAPP(hAPP(c_member(_128722), _128724), _128728))], (2376 ^ _81967) ^ [_128925, _128927, _128929, _128931] : [hBOOL(hAPP(hAPP(c_member(_128925), _128927), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_128925, tc_HOL_Obool)), _128929), _128931))), -(hBOOL(hAPP(hAPP(c_member(_128925), _128927), _128929)))], (2382 ^ _81967) ^ [_129056, _129058, _129060, _129062] : [hBOOL(hAPP(hAPP(c_member(_129056), _129058), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_129056, tc_HOL_Obool)), _129060), _129062))), -(hBOOL(hAPP(hAPP(c_member(_129056), _129058), _129062)))], (2388 ^ _81967) ^ [_129208, _129210, _129212, _129214] : [hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_129208, tc_HOL_Obool)), hAPP(hAPP(c_COMBC(_129208, tc_fun(_129208, tc_HOL_Obool), tc_HOL_Obool), c_member(_129208)), _129210)), hAPP(hAPP(c_COMBC(_129208, tc_fun(_129208, tc_HOL_Obool), tc_HOL_Obool), c_member(_129208)), _129212)), _129214)), -(hBOOL(hAPP(hAPP(c_member(_129208), _129214), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_129208, tc_HOL_Obool)), _129210), _129212))))], (2394 ^ _81967) ^ [_129407, _129409, _129411, _129413] : [hBOOL(hAPP(hAPP(c_member(_129407), _129413), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_129407, tc_HOL_Obool)), _129409), _129411))), -(hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_129407, tc_HOL_Obool)), hAPP(hAPP(c_COMBC(_129407, tc_fun(_129407, tc_HOL_Obool), tc_HOL_Obool), c_member(_129407)), _129409)), hAPP(hAPP(c_COMBC(_129407, tc_fun(_129407, tc_HOL_Obool), tc_HOL_Obool), c_member(_129407)), _129411)), _129413)))], (2400 ^ _81967) ^ [_129612, _129614, _129616, _129618, _129620, _129622] : [-(c_FuncSet_Ocompose(_129612, _129614, _129616, _129618, _129620, _129622) = c_FuncSet_Orestrict(_129612, _129616, hAPP(c_COMBB(_129614, _129616, _129612, _129620), _129622), _129618))], (2402 ^ _81967) ^ [_129665, _129667, _129669, _129671] : [-(hBOOL(hAPP(hAPP(c_member(tc_fun(_129665, _129667)), c_FuncSet_Orestrict(_129665, _129667, _129669, _129671)), c_FuncSet_Oextensional(_129665, _129667, _129671))))], (2404 ^ _81967) ^ [_129713, _129715, _129717, _129719] : [hBOOL(hAPP(hAPP(c_member(tc_fun(_129713, _129715)), _129717), c_FuncSet_Oextensional(_129713, _129715, _129719))), -(c_FuncSet_Orestrict(_129713, _129715, _129717, _129719) = _129717)], (2410 ^ _81967) ^ [_129832, _129834, _129836] : [-(hBOOL(hAPP(hAPP(c_member(tc_prod(_129832, _129832)), hAPP(hAPP(c_Product__Type_OPair(_129832, _129832), _129834), _129834)), c_Transitive__Closure_Ortrancl(_129832, _129836))))], (2412 ^ _81967) ^ [_129881, _129883, _129885] : [hBOOL(hAPP(hAPP(c_member(tc_prod(_129881, _129881)), _129883), _129885)), -(hBOOL(hAPP(hAPP(c_member(tc_prod(_129881, _129881)), _129883), c_Transitive__Closure_Ortrancl(_129881, _129885))))], (2418 ^ _81967) ^ [_130006, _130008, _130010, _130012, _130014] : [hBOOL(hAPP(hAPP(c_member(tc_prod(_130006, _130006)), hAPP(hAPP(c_Product__Type_OPair(_130006, _130006), _130008), _130010)), _130012)), hBOOL(hAPP(hAPP(c_member(tc_prod(_130006, _130006)), hAPP(hAPP(c_Product__Type_OPair(_130006, _130006), _130010), _130014)), c_Transitive__Closure_Ortrancl(_130006, _130012))), -(hBOOL(hAPP(hAPP(c_member(tc_prod(_130006, _130006)), hAPP(hAPP(c_Product__Type_OPair(_130006, _130006), _130008), _130014)), c_Transitive__Closure_Ortrancl(_130006, _130012))))], (2428 ^ _81967) ^ [_130273, _130275, _130277, _130279, _130281] : [hBOOL(hAPP(hAPP(c_member(tc_prod(_130273, _130273)), hAPP(hAPP(c_Product__Type_OPair(_130273, _130273), _130275), _130277)), c_Transitive__Closure_Ortrancl(_130273, _130279))), hBOOL(hAPP(hAPP(c_member(tc_prod(_130273, _130273)), hAPP(hAPP(c_Product__Type_OPair(_130273, _130273), _130277), _130281)), _130279)), -(hBOOL(hAPP(hAPP(c_member(tc_prod(_130273, _130273)), hAPP(hAPP(c_Product__Type_OPair(_130273, _130273), _130275), _130281)), c_Transitive__Closure_Ortrancl(_130273, _130279))))], (2438 ^ _81967) ^ [_130540, _130542, _130544, _130546, _130548] : [hBOOL(hAPP(hAPP(c_member(tc_prod(_130540, _130540)), hAPP(hAPP(c_Product__Type_OPair(_130540, _130540), _130542), _130544)), c_Transitive__Closure_Ortrancl(_130540, _130546))), hBOOL(hAPP(hAPP(c_member(tc_prod(_130540, _130540)), hAPP(hAPP(c_Product__Type_OPair(_130540, _130540), _130544), _130548)), c_Transitive__Closure_Ortrancl(_130540, _130546))), -(hBOOL(hAPP(hAPP(c_member(tc_prod(_130540, _130540)), hAPP(hAPP(c_Product__Type_OPair(_130540, _130540), _130542), _130548)), c_Transitive__Closure_Ortrancl(_130540, _130546))))], (2448 ^ _81967) ^ [_130813, _130815, _130817, _130819, _130821] : [class_Lattices_Olattice(_130813), -(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_130815, _130813)), _130817), _130819), _130821) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_130813), hAPP(_130817, _130821)), hAPP(_130819, _130821)))], (2454 ^ _81967) ^ [_130950, _130952, _130954, _130956, _130958] : [2456 ^ _81967 : [(2457 ^ _81967) ^ [] : [-(hBOOL(hAPP(hAPP(c_member(_130950), 2455 ^ [_130950, _130952, _130954, _130956, _130958]), _130952)))], (2459 ^ _81967) ^ [] : [hBOOL(hAPP(hAPP(c_member(_130954), hAPP(_130956, 2455 ^ [_130950, _130952, _130954, _130956, _130958])), hAPP(_130958, 2455 ^ [_130950, _130952, _130954, _130956, _130958])))]], -(hBOOL(hAPP(hAPP(c_member(tc_fun(_130950, _130954)), c_FuncSet_Orestrict(_130950, _130954, _130956, _130952)), c_FuncSet_OPi(_130950, _130954, _130952, _130958))))], (2463 ^ _81967) ^ [_131247, _131249, _131251, _131253, _131255, _131257] : [hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_131247, tc_fun(_131249, tc_HOL_Obool))), hAPP(hAPP(c_COMBC(_131247, tc_fun(tc_prod(_131247, _131249), tc_HOL_Obool), tc_fun(_131249, tc_HOL_Obool)), hAPP(c_COMBB(tc_fun(_131249, tc_fun(tc_fun(tc_prod(_131247, _131249), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_131247, _131249), tc_HOL_Obool), tc_fun(_131249, tc_HOL_Obool)), _131247, c_COMBC(_131249, tc_fun(tc_prod(_131247, _131249), tc_HOL_Obool), tc_HOL_Obool)), hAPP(c_COMBB(tc_fun(_131249, tc_prod(_131247, _131249)), tc_fun(_131249, tc_fun(tc_fun(tc_prod(_131247, _131249), tc_HOL_Obool), tc_HOL_Obool)), _131247, c_COMBB(tc_prod(_131247, _131249), tc_fun(tc_fun(tc_prod(_131247, _131249), tc_HOL_Obool), tc_HOL_Obool), _131249, c_member(tc_prod(_131247, _131249)))), c_Product__Type_OPair(_131247, _131249)))), _131251)), hAPP(hAPP(c_COMBC(_131247, tc_fun(tc_prod(_131247, _131249), tc_HOL_Obool), tc_fun(_131249, tc_HOL_Obool)), hAPP(c_COMBB(tc_fun(_131249, tc_fun(tc_fun(tc_prod(_131247, _131249), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_131247, _131249), tc_HOL_Obool), tc_fun(_131249, tc_HOL_Obool)), _131247, c_COMBC(_131249, tc_fun(tc_prod(_131247, _131249), tc_HOL_Obool), tc_HOL_Obool)), hAPP(c_COMBB(tc_fun(_131249, tc_prod(_131247, _131249)), tc_fun(_131249, tc_fun(tc_fun(tc_prod(_131247, _131249), tc_HOL_Obool), tc_HOL_Obool)), _131247, c_COMBB(tc_prod(_131247, _131249), tc_fun(tc_fun(tc_prod(_131247, _131249), tc_HOL_Obool), tc_HOL_Obool), _131249, c_member(tc_prod(_131247, _131249)))), c_Product__Type_OPair(_131247, _131249)))), _131253)), _131255), _131257)), -(hBOOL(hAPP(hAPP(c_member(tc_prod(_131247, _131249)), hAPP(hAPP(c_Product__Type_OPair(_131247, _131249), _131255), _131257)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(_131247, _131249), tc_HOL_Obool)), _131251), _131253))))], (2469 ^ _81967) ^ [_131880, _131882, _131884, _131886, _131888, _131890] : [hBOOL(hAPP(hAPP(c_member(tc_prod(_131880, _131882)), hAPP(hAPP(c_Product__Type_OPair(_131880, _131882), _131888), _131890)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(_131880, _131882), tc_HOL_Obool)), _131884), _131886))), -(hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_131880, tc_fun(_131882, tc_HOL_Obool))), hAPP(hAPP(c_COMBC(_131880, tc_fun(tc_prod(_131880, _131882), tc_HOL_Obool), tc_fun(_131882, tc_HOL_Obool)), hAPP(c_COMBB(tc_fun(_131882, tc_fun(tc_fun(tc_prod(_131880, _131882), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_131880, _131882), tc_HOL_Obool), tc_fun(_131882, tc_HOL_Obool)), _131880, c_COMBC(_131882, tc_fun(tc_prod(_131880, _131882), tc_HOL_Obool), tc_HOL_Obool)), hAPP(c_COMBB(tc_fun(_131882, tc_prod(_131880, _131882)), tc_fun(_131882, tc_fun(tc_fun(tc_prod(_131880, _131882), tc_HOL_Obool), tc_HOL_Obool)), _131880, c_COMBB(tc_prod(_131880, _131882), tc_fun(tc_fun(tc_prod(_131880, _131882), tc_HOL_Obool), tc_HOL_Obool), _131882, c_member(tc_prod(_131880, _131882)))), c_Product__Type_OPair(_131880, _131882)))), _131884)), hAPP(hAPP(c_COMBC(_131880, tc_fun(tc_prod(_131880, _131882), tc_HOL_Obool), tc_fun(_131882, tc_HOL_Obool)), hAPP(c_COMBB(tc_fun(_131882, tc_fun(tc_fun(tc_prod(_131880, _131882), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_131880, _131882), tc_HOL_Obool), tc_fun(_131882, tc_HOL_Obool)), _131880, c_COMBC(_131882, tc_fun(tc_prod(_131880, _131882), tc_HOL_Obool), tc_HOL_Obool)), hAPP(c_COMBB(tc_fun(_131882, tc_prod(_131880, _131882)), tc_fun(_131882, tc_fun(tc_fun(tc_prod(_131880, _131882), tc_HOL_Obool), tc_HOL_Obool)), _131880, c_COMBB(tc_prod(_131880, _131882), tc_fun(tc_fun(tc_prod(_131880, _131882), tc_HOL_Obool), tc_HOL_Obool), _131882, c_member(tc_prod(_131880, _131882)))), c_Product__Type_OPair(_131880, _131882)))), _131886)), _131888), _131890)))], (2475 ^ _81967) ^ [_132519, _132521] : [class_Lattices_Osemilattice__inf(_132519), -(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_132519), _132521), _132521) = _132521)], (2481 ^ _81967) ^ [_132610, _132612] : [class_Lattices_Osemilattice__inf(_132610), -(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_132610), _132612), _132612) = _132612)], (2487 ^ _81967) ^ [_132701, _132703, _132705] : [class_Lattices_Osemilattice__inf(_132701), -(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_132701), _132703), _132705) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_132701), _132705), _132703))], (2493 ^ _81967) ^ [_132810, _132812, _132814] : [class_Lattices_Olattice(_132810), -(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_132810), _132812), _132814) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_132810), _132814), _132812))], (2499 ^ _81967) ^ [_132919, _132921, _132923] : [class_Lattices_Osemilattice__inf(_132919), -(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_132919), _132921), _132923) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_132919), _132923), _132921))], (2505 ^ _81967) ^ [_133028, _133030, _133032] : [class_Lattices_Osemilattice__inf(_133028), -(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_133028), _133030), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_133028), _133030), _133032)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_133028), _133030), _133032))], (2511 ^ _81967) ^ [_133153, _133155, _133157] : [class_Lattices_Olattice(_133153), -(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_133153), _133155), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_133153), _133155), _133157)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_133153), _133155), _133157))], (2517 ^ _81967) ^ [_133278, _133280, _133282] : [class_Lattices_Osemilattice__inf(_133278), -(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_133278), _133280), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_133278), _133280), _133282)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_133278), _133280), _133282))], (2523 ^ _81967) ^ [_133403, _133405, _133407, _133409] : [class_Lattices_Osemilattice__inf(_133403), -(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_133403), _133405), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_133403), _133407), _133409)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_133403), _133407), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_133403), _133405), _133409)))], (2529 ^ _81967) ^ [_133546, _133548, _133550, _133552] : [class_Lattices_Olattice(_133546), -(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_133546), _133548), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_133546), _133550), _133552)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_133546), _133550), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_133546), _133548), _133552)))], (2535 ^ _81967) ^ [_133689, _133691, _133693, _133695] : [class_Lattices_Osemilattice__inf(_133689), -(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_133689), _133691), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_133689), _133693), _133695)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_133689), _133693), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_133689), _133691), _133695)))], (2541 ^ _81967) ^ [_133832, _133834, _133836, _133838] : [class_Lattices_Osemilattice__inf(_133832), -(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_133832), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_133832), _133834), _133836)), _133838) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_133832), _133834), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_133832), _133836), _133838)))], (2547 ^ _81967) ^ [_133975, _133977, _133979, _133981] : [class_Lattices_Olattice(_133975), -(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_133975), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_133975), _133977), _133979)), _133981) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_133975), _133977), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_133975), _133979), _133981)))], (2553 ^ _81967) ^ [_134118, _134120, _134122, _134124] : [class_Lattices_Osemilattice__inf(_134118), -(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_134118), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_134118), _134120), _134122)), _134124) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_134118), _134120), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_134118), _134122), _134124)))], (2559 ^ _81967) ^ [_134261, _134263] : [-(c_Transitive__Closure_Ortrancl(_134261, c_Transitive__Closure_Ortrancl(_134261, _134263)) = c_Transitive__Closure_Ortrancl(_134261, _134263))], (2561 ^ _81967) ^ [_134295, _134297, _134299, _134301, _134303] : [class_Lattices_Olattice(_134295), -(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_134297, _134295)), _134299), _134301), _134303) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_134295), hAPP(_134299, _134303)), hAPP(_134301, _134303)))], (2567 ^ _81967) ^ [_134432, _134434, _134436, _134438, _134440] : [2569 ^ _81967 : [(2570 ^ _81967) ^ [] : [-(hBOOL(hAPP(hAPP(c_member(_134432), 2568 ^ [_134432, _134434, _134436, _134438, _134440]), _134434)))], (2572 ^ _81967) ^ [] : [hBOOL(hAPP(hAPP(c_member(_134436), hAPP(_134438, 2568 ^ [_134432, _134434, _134436, _134438, _134440])), _134440))]], -(hBOOL(hAPP(hAPP(c_member(tc_fun(_134432, _134436)), c_FuncSet_Orestrict(_134432, _134436, _134438, _134434)), c_FuncSet_OPi(_134432, _134436, _134434, c_COMBK(tc_fun(_134436, tc_HOL_Obool), _134432, _134440)))))], (2576 ^ _81967) ^ [_134694, _134696, _134698, _134700, _134702] : [c_Relation_Osingle__valued(_134694, _134694, _134696), hBOOL(hAPP(hAPP(c_member(tc_prod(_134694, _134694)), hAPP(hAPP(c_Product__Type_OPair(_134694, _134694), _134698), _134700)), c_Transitive__Closure_Ortrancl(_134694, _134696))), hBOOL(hAPP(hAPP(c_member(tc_prod(_134694, _134694)), hAPP(hAPP(c_Product__Type_OPair(_134694, _134694), _134698), _134702)), c_Transitive__Closure_Ortrancl(_134694, _134696))), -(hBOOL(hAPP(hAPP(c_member(tc_prod(_134694, _134694)), hAPP(hAPP(c_Product__Type_OPair(_134694, _134694), _134700), _134702)), c_Transitive__Closure_Ortrancl(_134694, _134696)))), -(hBOOL(hAPP(hAPP(c_member(tc_prod(_134694, _134694)), hAPP(hAPP(c_Product__Type_OPair(_134694, _134694), _134702), _134700)), c_Transitive__Closure_Ortrancl(_134694, _134696))))], (2594 ^ _81967) ^ [_135083, _135085, _135087, _135089] : [-(hBOOL(hAPP(hAPP(c_member(_135083), _135085), c_Relation_ODomain(_135083, _135083, _135087)))), 2597 ^ _81967 : [(2598 ^ _81967) ^ [] : [hBOOL(hAPP(hAPP(c_member(tc_prod(_135083, _135083)), hAPP(hAPP(c_Product__Type_OPair(_135083, _135083), _135085), _135089)), c_Transitive__Closure_Ortrancl(_135083, _135087))), -(_135085 = _135089)], (2604 ^ _81967) ^ [] : [_135085 = _135089, -(hBOOL(hAPP(hAPP(c_member(tc_prod(_135083, _135083)), hAPP(hAPP(c_Product__Type_OPair(_135083, _135083), _135085), _135089)), c_Transitive__Closure_Ortrancl(_135083, _135087))))]]], (2610 ^ _81967) ^ [_135377, _135379, _135381, _135383, _135385, _135387, _135389, _135391] : [hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(_135377, _135379), tc_prod(_135377, _135379))), hAPP(hAPP(c_Product__Type_OPair(tc_prod(_135377, _135379), tc_prod(_135377, _135379)), hAPP(hAPP(c_Product__Type_OPair(_135377, _135379), _135381), _135383)), hAPP(hAPP(c_Product__Type_OPair(_135377, _135379), _135385), _135387))), c_Transitive__Closure_Ortrancl(tc_prod(_135377, _135379), _135389))), hBOOL(hAPP(hAPP(_135391, _135381), _135383)), 2621 ^ _81967 : [(2622 ^ _81967) ^ [] : [-(hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(_135377, _135379), tc_prod(_135377, _135379))), hAPP(hAPP(c_Product__Type_OPair(tc_prod(_135377, _135379), tc_prod(_135377, _135379)), hAPP(hAPP(c_Product__Type_OPair(_135377, _135379), _135381), _135383)), hAPP(hAPP(c_Product__Type_OPair(_135377, _135379), 2619 ^ [_135377, _135379, _135381, _135383, _135385, _135387, _135389, _135391]), 2620 ^ [_135377, _135379, _135381, _135383, _135385, _135387, _135389, _135391]))), c_Transitive__Closure_Ortrancl(tc_prod(_135377, _135379), _135389))))], (2626 ^ _81967) ^ [] : [-(hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(_135377, _135379), tc_prod(_135377, _135379))), hAPP(hAPP(c_Product__Type_OPair(tc_prod(_135377, _135379), tc_prod(_135377, _135379)), hAPP(hAPP(c_Product__Type_OPair(_135377, _135379), 2619 ^ [_135377, _135379, _135381, _135383, _135385, _135387, _135389, _135391]), 2620 ^ [_135377, _135379, _135381, _135383, _135385, _135387, _135389, _135391])), hAPP(hAPP(c_Product__Type_OPair(_135377, _135379), 2623 ^ [_135377, _135379, _135381, _135383, _135385, _135387, _135389, _135391]), 2624 ^ [_135377, _135379, _135381, _135383, _135385, _135387, _135389, _135391]))), _135389)))], (2628 ^ _81967) ^ [] : [-(hBOOL(hAPP(hAPP(_135391, 2619 ^ [_135377, _135379, _135381, _135383, _135385, _135387, _135389, _135391]), 2620 ^ [_135377, _135379, _135381, _135383, _135385, _135387, _135389, _135391])))], (2630 ^ _81967) ^ [] : [hBOOL(hAPP(hAPP(_135391, 2623 ^ [_135377, _135379, _135381, _135383, _135385, _135387, _135389, _135391]), 2624 ^ [_135377, _135379, _135381, _135383, _135385, _135387, _135389, _135391]))]], -(hBOOL(hAPP(hAPP(_135391, _135385), _135387)))], (2634 ^ _81967) ^ [_136507, _136509, _136511, _136513, _136515, _136517, _136519, _136521] : [hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(_136507, _136509), tc_prod(_136507, _136509))), hAPP(hAPP(c_Product__Type_OPair(tc_prod(_136507, _136509), tc_prod(_136507, _136509)), hAPP(hAPP(c_Product__Type_OPair(_136507, _136509), _136511), _136513)), hAPP(hAPP(c_Product__Type_OPair(_136507, _136509), _136515), _136517))), c_Transitive__Closure_Ortrancl(tc_prod(_136507, _136509), _136519))), hBOOL(hAPP(hAPP(_136521, _136515), _136517)), 2647 ^ _81967 : [(2648 ^ _81967) ^ [] : [-(hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(_136507, _136509), tc_prod(_136507, _136509))), hAPP(hAPP(c_Product__Type_OPair(tc_prod(_136507, _136509), tc_prod(_136507, _136509)), hAPP(hAPP(c_Product__Type_OPair(_136507, _136509), 2643 ^ [_136507, _136509, _136511, _136513, _136515, _136517, _136519, _136521]), 2644 ^ [_136507, _136509, _136511, _136513, _136515, _136517, _136519, _136521])), hAPP(hAPP(c_Product__Type_OPair(_136507, _136509), 2645 ^ [_136507, _136509, _136511, _136513, _136515, _136517, _136519, _136521]), 2646 ^ [_136507, _136509, _136511, _136513, _136515, _136517, _136519, _136521]))), _136519)))], (2650 ^ _81967) ^ [] : [-(hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(_136507, _136509), tc_prod(_136507, _136509))), hAPP(hAPP(c_Product__Type_OPair(tc_prod(_136507, _136509), tc_prod(_136507, _136509)), hAPP(hAPP(c_Product__Type_OPair(_136507, _136509), 2645 ^ [_136507, _136509, _136511, _136513, _136515, _136517, _136519, _136521]), 2646 ^ [_136507, _136509, _136511, _136513, _136515, _136517, _136519, _136521])), hAPP(hAPP(c_Product__Type_OPair(_136507, _136509), _136515), _136517))), c_Transitive__Closure_Ortrancl(tc_prod(_136507, _136509), _136519))))], (2652 ^ _81967) ^ [] : [-(hBOOL(hAPP(hAPP(_136521, 2645 ^ [_136507, _136509, _136511, _136513, _136515, _136517, _136519, _136521]), 2646 ^ [_136507, _136509, _136511, _136513, _136515, _136517, _136519, _136521])))], (2654 ^ _81967) ^ [] : [hBOOL(hAPP(hAPP(_136521, 2643 ^ [_136507, _136509, _136511, _136513, _136515, _136517, _136519, _136521]), 2644 ^ [_136507, _136509, _136511, _136513, _136515, _136517, _136519, _136521]))]], -(hBOOL(hAPP(hAPP(_136521, _136511), _136513)))], (2658 ^ _81967) ^ [_137567, _137569, _137571, _137573, _137575, _137577, _137579] : [hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(_137567, _137569), tc_prod(_137567, _137569))), hAPP(hAPP(c_Product__Type_OPair(tc_prod(_137567, _137569), tc_prod(_137567, _137569)), hAPP(hAPP(c_Product__Type_OPair(_137567, _137569), _137571), _137573)), hAPP(hAPP(c_Product__Type_OPair(_137567, _137569), _137575), _137577))), c_Transitive__Closure_Ortrancl(tc_prod(_137567, _137569), _137579))), -(hAPP(hAPP(c_Product__Type_OPair(_137567, _137569), _137571), _137573) = hAPP(hAPP(c_Product__Type_OPair(_137567, _137569), _137575), _137577)), 2667 ^ _81967 : [(2668 ^ _81967) ^ [] : [-(hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(_137567, _137569), tc_prod(_137567, _137569))), hAPP(hAPP(c_Product__Type_OPair(tc_prod(_137567, _137569), tc_prod(_137567, _137569)), hAPP(hAPP(c_Product__Type_OPair(_137567, _137569), _137571), _137573)), hAPP(hAPP(c_Product__Type_OPair(_137567, _137569), 2665 ^ [_137567, _137569, _137571, _137573, _137575, _137577, _137579]), 2666 ^ [_137567, _137569, _137571, _137573, _137575, _137577, _137579]))), _137579)))], (2670 ^ _81967) ^ [] : [-(hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(_137567, _137569), tc_prod(_137567, _137569))), hAPP(hAPP(c_Product__Type_OPair(tc_prod(_137567, _137569), tc_prod(_137567, _137569)), hAPP(hAPP(c_Product__Type_OPair(_137567, _137569), 2665 ^ [_137567, _137569, _137571, _137573, _137575, _137577, _137579]), 2666 ^ [_137567, _137569, _137571, _137573, _137575, _137577, _137579])), hAPP(hAPP(c_Product__Type_OPair(_137567, _137569), _137575), _137577))), c_Transitive__Closure_Ortrancl(tc_prod(_137567, _137569), _137579))))]]], (2672 ^ _81967) ^ [_138148, _138150, _138152, _138154, _138156] : [hBOOL(hAPP(hAPP(c_member(tc_prod(_138148, _138148)), hAPP(hAPP(c_Product__Type_OPair(_138148, _138148), _138150), _138152)), c_Transitive__Closure_Ortrancl(_138148, _138154))), hBOOL(hAPP(_138156, _138150)), 2682 ^ _81967 : [(2683 ^ _81967) ^ [] : [-(hBOOL(hAPP(hAPP(c_member(tc_prod(_138148, _138148)), hAPP(hAPP(c_Product__Type_OPair(_138148, _138148), _138150), 2681 ^ [_138148, _138150, _138152, _138154, _138156])), c_Transitive__Closure_Ortrancl(_138148, _138154))))], (2686 ^ _81967) ^ [] : [-(hBOOL(hAPP(hAPP(c_member(tc_prod(_138148, _138148)), hAPP(hAPP(c_Product__Type_OPair(_138148, _138148), 2681 ^ [_138148, _138150, _138152, _138154, _138156]), 2684 ^ [_138148, _138150, _138152, _138154, _138156])), _138154)))], (2688 ^ _81967) ^ [] : [-(hBOOL(hAPP(_138156, 2681 ^ [_138148, _138150, _138152, _138154, _138156])))], (2690 ^ _81967) ^ [] : [hBOOL(hAPP(_138156, 2684 ^ [_138148, _138150, _138152, _138154, _138156]))]], -(hBOOL(hAPP(_138156, _138152)))], (2694 ^ _81967) ^ [_138759, _138761, _138763, _138765, _138767, _138769] : [hBOOL(hAPP(hAPP(_138759, _138761), _138763)), hBOOL(hAPP(hAPP(_138765, _138761), _138763)), -(hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_138767, tc_fun(_138769, tc_HOL_Obool))), _138759), _138765), _138761), _138763)))], (2704 ^ _81967) ^ [_138962, _138964, _138966, _138968, _138970, _138972] : [hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_138962, tc_fun(_138964, tc_HOL_Obool))), _138966), _138968), _138970), _138972)), 2707 ^ _81967 : [(2708 ^ _81967) ^ [] : [-(hBOOL(hAPP(hAPP(_138966, _138970), _138972)))], (2710 ^ _81967) ^ [] : [-(hBOOL(hAPP(hAPP(_138968, _138970), _138972)))]]], (2712 ^ _81967) ^ [_139135, _139137, _139139, _139141, _139143, _139145] : [hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_139135, tc_fun(_139137, tc_HOL_Obool))), _139139), _139141), _139143), _139145)), -(hBOOL(hAPP(hAPP(_139139, _139143), _139145)))], (2718 ^ _81967) ^ [_139268, _139270, _139272, _139274, _139276, _139278] : [hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_139268, tc_fun(_139270, tc_HOL_Obool))), _139272), _139274), _139276), _139278)), -(hBOOL(hAPP(hAPP(_139274, _139276), _139278)))], (2724 ^ _81967) ^ [_139401, _139403, _139405, _139407, _139409] : [hBOOL(hAPP(hAPP(c_member(tc_prod(_139401, _139403)), hAPP(hAPP(c_Product__Type_OPair(_139401, _139403), _139405), _139407)), _139409)), -(hBOOL(hAPP(hAPP(c_member(_139401), _139405), c_Relation_ODomain(_139401, _139403, _139409))))], (2730 ^ _81967) ^ [_139565, _139567, _139569, _139571] : [hBOOL(hAPP(hAPP(c_member(_139565), _139567), c_Relation_ODomain(_139565, _139569, _139571))), -(hBOOL(hAPP(hAPP(c_member(tc_prod(_139565, _139569)), hAPP(hAPP(c_Product__Type_OPair(_139565, _139569), _139567), 2733 ^ [_139565, _139567, _139569, _139571])), _139571)))], (2737 ^ _81967) ^ [_139718, _139720, _139722, _139724] : [2738 ^ _81967 : [(2739 ^ _81967) ^ [_139791] : [hBOOL(hAPP(hAPP(c_member(tc_prod(_139718, _139722)), hAPP(hAPP(c_Product__Type_OPair(_139718, _139722), _139720), _139791)), _139724))]], -(hBOOL(hAPP(hAPP(c_member(_139718), _139720), c_Relation_ODomain(_139718, _139722, _139724))))], (2757 ^ _81967) ^ [_140266, _140268, _140270] : [2760 ^ _81967 : [(2761 ^ _81967) ^ [] : [-(hBOOL(hAPP(hAPP(c_member(tc_prod(_140266, _140268)), hAPP(hAPP(c_Product__Type_OPair(_140266, _140268), 2758 ^ [_140266, _140268, _140270]), 2759 ^ [_140266, _140268, _140270])), _140270)))], (2764 ^ _81967) ^ [] : [-(hBOOL(hAPP(hAPP(c_member(tc_prod(_140266, _140268)), hAPP(hAPP(c_Product__Type_OPair(_140266, _140268), 2758 ^ [_140266, _140268, _140270]), 2762 ^ [_140266, _140268, _140270])), _140270)))], (2766 ^ _81967) ^ [] : [2759 ^ [_140266, _140268, _140270] = 2762 ^ [_140266, _140268, _140270]]], -(c_Relation_Osingle__valued(_140266, _140268, _140270))], (2743 ^ _81967) ^ [_139892, _139894, _139896] : [c_Relation_Osingle__valued(_139892, _139894, _139896), 2746 ^ _81967 : [(2747 ^ _81967) ^ [_140013, _140015] : [hBOOL(hAPP(hAPP(c_member(tc_prod(_139892, _139894)), hAPP(hAPP(c_Product__Type_OPair(_139892, _139894), _140015), _140013)), _139896)), 2750 ^ _81967 : [(2751 ^ _81967) ^ [_140139] : [hBOOL(hAPP(hAPP(c_member(tc_prod(_139892, _139894)), hAPP(hAPP(c_Product__Type_OPair(_139892, _139894), _140015), _140139)), _139896)), -(_140013 = _140139)]]]]], (2770 ^ _81967) ^ [_140636, _140638, _140640, _140642, _140644, _140646] : [c_Relation_Osingle__valued(_140636, _140638, _140640), hBOOL(hAPP(hAPP(c_member(tc_prod(_140636, _140638)), hAPP(hAPP(c_Product__Type_OPair(_140636, _140638), _140642), _140644)), _140640)), hBOOL(hAPP(hAPP(c_member(tc_prod(_140636, _140638)), hAPP(hAPP(c_Product__Type_OPair(_140636, _140638), _140642), _140646)), _140640)), -(_140644 = _140646)], (2784 ^ _81967) ^ [_140940, _140942, _140944, _140946] : [c_Predicate_ODomainP(_140940, _140942, hAPP(hAPP(c_COMBC(_140940, tc_fun(tc_prod(_140940, _140942), tc_HOL_Obool), tc_fun(_140942, tc_HOL_Obool)), hAPP(c_COMBB(tc_fun(_140942, tc_fun(tc_fun(tc_prod(_140940, _140942), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_140940, _140942), tc_HOL_Obool), tc_fun(_140942, tc_HOL_Obool)), _140940, c_COMBC(_140942, tc_fun(tc_prod(_140940, _140942), tc_HOL_Obool), tc_HOL_Obool)), hAPP(c_COMBB(tc_fun(_140942, tc_prod(_140940, _140942)), tc_fun(_140942, tc_fun(tc_fun(tc_prod(_140940, _140942), tc_HOL_Obool), tc_HOL_Obool)), _140940, c_COMBB(tc_prod(_140940, _140942), tc_fun(tc_fun(tc_prod(_140940, _140942), tc_HOL_Obool), tc_HOL_Obool), _140942, c_member(tc_prod(_140940, _140942)))), c_Product__Type_OPair(_140940, _140942)))), _140944), _140946), -(hBOOL(hAPP(hAPP(c_member(_140940), _140946), c_Relation_ODomain(_140940, _140942, _140944))))], (2790 ^ _81967) ^ [_141267, _141269, _141271, _141273] : [hBOOL(hAPP(hAPP(c_member(_141267), _141273), c_Relation_ODomain(_141267, _141269, _141271))), -(c_Predicate_ODomainP(_141267, _141269, hAPP(hAPP(c_COMBC(_141267, tc_fun(tc_prod(_141267, _141269), tc_HOL_Obool), tc_fun(_141269, tc_HOL_Obool)), hAPP(c_COMBB(tc_fun(_141269, tc_fun(tc_fun(tc_prod(_141267, _141269), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_141267, _141269), tc_HOL_Obool), tc_fun(_141269, tc_HOL_Obool)), _141267, c_COMBC(_141269, tc_fun(tc_prod(_141267, _141269), tc_HOL_Obool), tc_HOL_Obool)), hAPP(c_COMBB(tc_fun(_141269, tc_prod(_141267, _141269)), tc_fun(_141269, tc_fun(tc_fun(tc_prod(_141267, _141269), tc_HOL_Obool), tc_HOL_Obool)), _141267, c_COMBB(tc_prod(_141267, _141269), tc_fun(tc_fun(tc_prod(_141267, _141269), tc_HOL_Obool), tc_HOL_Obool), _141269, c_member(tc_prod(_141267, _141269)))), c_Product__Type_OPair(_141267, _141269)))), _141271), _141273))], (2796 ^ _81967) ^ [_141600, _141602, _141604, _141606] : [hBOOL(hAPP(hAPP(c_member(_141600), _141602), c_Relation_ODomain(_141600, _141604, _141606))), -(hBOOL(hAPP(hAPP(c_member(tc_prod(_141600, _141604)), hAPP(hAPP(c_Product__Type_OPair(_141600, _141604), _141602), 2799 ^ [_141600, _141602, _141604, _141606])), _141606)))], (2803 ^ _81967) ^ [_141761, _141763, _141765, _141767, _141769] : [hBOOL(hAPP(hAPP(_141761, _141763), _141765)), -(c_Predicate_ODomainP(_141767, _141769, _141761, _141763))], (2809 ^ _81967) ^ [_141873, _141875] : [c_Relation_Oirrefl(_141873, _141875), 2812 ^ _81967 : [(2813 ^ _81967) ^ [_141955] : [hBOOL(hAPP(hAPP(c_member(tc_prod(_141873, _141873)), hAPP(hAPP(c_Product__Type_OPair(_141873, _141873), _141955), _141955)), _141875))]]], (2815 ^ _81967) ^ [_141995, _141997] : [-(hBOOL(hAPP(hAPP(c_member(tc_prod(_141995, _141995)), hAPP(hAPP(c_Product__Type_OPair(_141995, _141995), 2816 ^ [_141995, _141997]), 2816 ^ [_141995, _141997])), _141997))), -(c_Relation_Oirrefl(_141995, _141997))], (2822 ^ _81967) ^ [_142066, _142068, _142070, _142072, _142074] : [hBOOL(hAPP(hAPP(c_member(tc_prod(_142066, _142068)), hAPP(hAPP(c_Product__Type_OPair(_142066, _142068), _142070), _142072)), _142074)), -(hBOOL(hAPP(hAPP(c_member(_142068), _142072), c_Relation_ORange(_142066, _142068, _142074))))], (2828 ^ _81967) ^ [_142209, _142211, _142213, _142215] : [_142209 = _142211, hBOOL(hAPP(hAPP(c_member(_142213), _142209), _142215)), -(hBOOL(hAPP(hAPP(c_member(tc_prod(_142213, _142213)), hAPP(hAPP(c_Product__Type_OPair(_142213, _142213), _142209), _142211)), c_Relation_OId__on(_142213, _142215))))], (2838 ^ _81967) ^ [_142425, _142427, _142429, _142431] : [hBOOL(hAPP(hAPP(c_member(tc_prod(_142425, _142425)), hAPP(hAPP(c_Product__Type_OPair(_142425, _142425), _142427), _142429)), c_Relation_OId__on(_142425, _142431))), 2841 ^ _81967 : [(2842 ^ _81967) ^ [] : [-(_142427 = _142429)], (2844 ^ _81967) ^ [] : [-(hBOOL(hAPP(hAPP(c_member(_142425), _142427), _142431)))]]], (2846 ^ _81967) ^ [_142586, _142588, _142590, _142592] : [-(hBOOL(hAPP(hAPP(c_member(tc_prod(_142586, _142586)), hAPP(hAPP(c_Product__Type_OPair(_142586, _142586), _142588), _142590)), c_Relation_OId__on(_142586, _142592)))), _142588 = _142590, hBOOL(hAPP(hAPP(c_member(_142586), _142588), _142592))], (2856 ^ _81967) ^ [_142783, _142785, _142787] : [2859 ^ _81967 : [(2860 ^ _81967) ^ [] : [-(hBOOL(hAPP(hAPP(c_member(tc_prod(_142783, _142785)), hAPP(hAPP(c_Product__Type_OPair(_142783, _142785), 2857 ^ [_142783, _142785, _142787]), 2858 ^ [_142783, _142785, _142787])), _142787)))], (2863 ^ _81967) ^ [] : [-(hBOOL(hAPP(hAPP(c_member(tc_prod(_142783, _142785)), hAPP(hAPP(c_Product__Type_OPair(_142783, _142785), 2857 ^ [_142783, _142785, _142787]), 2861 ^ [_142783, _142785, _142787])), _142787)))], (2865 ^ _81967) ^ [] : [2858 ^ [_142783, _142785, _142787] = 2861 ^ [_142783, _142785, _142787]]], -(c_Relation_Osingle__valued(_142783, _142785, _142787))], (2869 ^ _81967) ^ [_143151, _143153, _143155, _143157, _143159] : [hBOOL(hAPP(hAPP(c_member(tc_prod(_143151, _143151)), hAPP(hAPP(c_Product__Type_OPair(_143151, _143151), _143153), _143155)), c_Transitive__Closure_Ortrancl(_143151, _143157))), hBOOL(hAPP(_143159, _143155)), 2880 ^ _81967 : [(2881 ^ _81967) ^ [] : [-(hBOOL(hAPP(hAPP(c_member(tc_prod(_143151, _143151)), hAPP(hAPP(c_Product__Type_OPair(_143151, _143151), 2878 ^ [_143151, _143153, _143155, _143157, _143159]), 2879 ^ [_143151, _143153, _143155, _143157, _143159])), _143157)))], (2883 ^ _81967) ^ [] : [-(hBOOL(hAPP(hAPP(c_member(tc_prod(_143151, _143151)), hAPP(hAPP(c_Product__Type_OPair(_143151, _143151), 2879 ^ [_143151, _143153, _143155, _143157, _143159]), _143155)), c_Transitive__Closure_Ortrancl(_143151, _143157))))], (2885 ^ _81967) ^ [] : [-(hBOOL(hAPP(_143159, 2879 ^ [_143151, _143153, _143155, _143157, _143159])))], (2887 ^ _81967) ^ [] : [hBOOL(hAPP(_143159, 2878 ^ [_143151, _143153, _143155, _143157, _143159]))]], -(hBOOL(hAPP(_143159, _143153)))], (2891 ^ _81967) ^ [_143731, _143733] : [-(c_Relation_ORange(_143731, _143731, c_Relation_OId__on(_143731, _143733)) = _143733)], (2893 ^ _81967) ^ [_143763, _143765] : [-(c_Relation_ODomain(_143763, _143763, c_Relation_OId__on(_143763, _143765)) = _143765)], (2895 ^ _81967) ^ [_143795, _143797] : [-(c_Relation_Osingle__valued(_143795, _143795, c_Relation_OId__on(_143795, _143797)))], (2897 ^ _81967) ^ [_143845, _143847, _143849, _143851] : [hBOOL(hAPP(hAPP(c_member(_143845), _143847), c_Relation_ORange(_143849, _143845, _143851))), -(hBOOL(hAPP(hAPP(c_member(tc_prod(_143849, _143845)), hAPP(hAPP(c_Product__Type_OPair(_143849, _143845), 2900 ^ [_143845, _143847, _143849, _143851]), _143847)), _143851)))], (2904 ^ _81967) ^ [_143998, _144000, _144002, _144004] : [2905 ^ _81967 : [(2906 ^ _81967) ^ [_144071] : [hBOOL(hAPP(hAPP(c_member(tc_prod(_144002, _143998)), hAPP(hAPP(c_Product__Type_OPair(_144002, _143998), _144071), _144000)), _144004))]], -(hBOOL(hAPP(hAPP(c_member(_143998), _144000), c_Relation_ORange(_144002, _143998, _144004))))], (2910 ^ _81967) ^ [_144175, _144177, _144179, _144181] : [c_Predicate_ORangeP(_144175, _144177, hAPP(hAPP(c_COMBC(_144175, tc_fun(tc_prod(_144175, _144177), tc_HOL_Obool), tc_fun(_144177, tc_HOL_Obool)), hAPP(c_COMBB(tc_fun(_144177, tc_fun(tc_fun(tc_prod(_144175, _144177), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_144175, _144177), tc_HOL_Obool), tc_fun(_144177, tc_HOL_Obool)), _144175, c_COMBC(_144177, tc_fun(tc_prod(_144175, _144177), tc_HOL_Obool), tc_HOL_Obool)), hAPP(c_COMBB(tc_fun(_144177, tc_prod(_144175, _144177)), tc_fun(_144177, tc_fun(tc_fun(tc_prod(_144175, _144177), tc_HOL_Obool), tc_HOL_Obool)), _144175, c_COMBB(tc_prod(_144175, _144177), tc_fun(tc_fun(tc_prod(_144175, _144177), tc_HOL_Obool), tc_HOL_Obool), _144177, c_member(tc_prod(_144175, _144177)))), c_Product__Type_OPair(_144175, _144177)))), _144179), _144181), -(hBOOL(hAPP(hAPP(c_member(_144177), _144181), c_Relation_ORange(_144175, _144177, _144179))))], (2916 ^ _81967) ^ [_144502, _144504, _144506, _144508] : [hBOOL(hAPP(hAPP(c_member(_144504), _144508), c_Relation_ORange(_144502, _144504, _144506))), -(c_Predicate_ORangeP(_144502, _144504, hAPP(hAPP(c_COMBC(_144502, tc_fun(tc_prod(_144502, _144504), tc_HOL_Obool), tc_fun(_144504, tc_HOL_Obool)), hAPP(c_COMBB(tc_fun(_144504, tc_fun(tc_fun(tc_prod(_144502, _144504), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_144502, _144504), tc_HOL_Obool), tc_fun(_144504, tc_HOL_Obool)), _144502, c_COMBC(_144504, tc_fun(tc_prod(_144502, _144504), tc_HOL_Obool), tc_HOL_Obool)), hAPP(c_COMBB(tc_fun(_144504, tc_prod(_144502, _144504)), tc_fun(_144504, tc_fun(tc_fun(tc_prod(_144502, _144504), tc_HOL_Obool), tc_HOL_Obool)), _144502, c_COMBB(tc_prod(_144502, _144504), tc_fun(tc_fun(tc_prod(_144502, _144504), tc_HOL_Obool), tc_HOL_Obool), _144504, c_member(tc_prod(_144502, _144504)))), c_Product__Type_OPair(_144502, _144504)))), _144506), _144508))], (2922 ^ _81967) ^ [_144835, _144837, _144839] : [hBOOL(hAPP(hAPP(c_member(tc_prod(_144835, _144835)), _144837), c_Relation_OId__on(_144835, _144839))), 2926 ^ _81967 : [(2927 ^ _81967) ^ [] : [-(hBOOL(hAPP(hAPP(c_member(_144835), 2925 ^ [_144835, _144837, _144839]), _144839)))], (2929 ^ _81967) ^ [] : [-(_144837 = hAPP(hAPP(c_Product__Type_OPair(_144835, _144835), 2925 ^ [_144835, _144837, _144839]), 2925 ^ [_144835, _144837, _144839]))]]], (2931 ^ _81967) ^ [_145034, _145036, _145038, _145040] : [hBOOL(hAPP(hAPP(c_member(_145034), _145036), c_Relation_ORange(_145038, _145034, _145040))), -(hBOOL(hAPP(hAPP(c_member(tc_prod(_145038, _145034)), hAPP(hAPP(c_Product__Type_OPair(_145038, _145034), 2934 ^ [_145034, _145036, _145038, _145040]), _145036)), _145040)))], (2938 ^ _81967) ^ [_145195, _145197, _145199, _145201] : [hBOOL(hAPP(hAPP(c_member(tc_prod(_145195, _145195)), hAPP(hAPP(c_Product__Type_OPair(_145195, _145195), _145197), _145199)), c_Transitive__Closure_Ortrancl(_145195, _145201))), -(_145197 = _145199), 2946 ^ _81967 : [(2947 ^ _81967) ^ [] : [-(hBOOL(hAPP(hAPP(c_member(tc_prod(_145195, _145195)), hAPP(hAPP(c_Product__Type_OPair(_145195, _145195), _145197), 2945 ^ [_145195, _145197, _145199, _145201])), c_Transitive__Closure_Ortrancl(_145195, _145201))))], (2949 ^ _81967) ^ [] : [-(hBOOL(hAPP(hAPP(c_member(tc_prod(_145195, _145195)), hAPP(hAPP(c_Product__Type_OPair(_145195, _145195), 2945 ^ [_145195, _145197, _145199, _145201]), _145199)), _145201)))]]], (2951 ^ _81967) ^ [_145491, _145493, _145495, _145497] : [hBOOL(hAPP(hAPP(c_member(tc_prod(_145491, _145491)), hAPP(hAPP(c_Product__Type_OPair(_145491, _145491), _145493), _145495)), c_Transitive__Closure_Ortrancl(_145491, _145497))), -(_145493 = _145495), 2959 ^ _81967 : [(2960 ^ _81967) ^ [] : [-(hBOOL(hAPP(hAPP(c_member(tc_prod(_145491, _145491)), hAPP(hAPP(c_Product__Type_OPair(_145491, _145491), _145493), 2958 ^ [_145491, _145493, _145495, _145497])), _145497)))], (2962 ^ _81967) ^ [] : [-(hBOOL(hAPP(hAPP(c_member(tc_prod(_145491, _145491)), hAPP(hAPP(c_Product__Type_OPair(_145491, _145491), 2958 ^ [_145491, _145493, _145495, _145497]), _145495)), c_Transitive__Closure_Ortrancl(_145491, _145497))))]]], (2964 ^ _81967) ^ [_145787, _145789, _145791, _145793, _145795] : [hBOOL(hAPP(hAPP(_145787, _145789), _145791)), -(c_Predicate_ORangeP(_145793, _145795, _145787, _145791))], (2970 ^ _81967) ^ [_145905, _145907, _145909, _145911] : [c_Predicate_ORangeP(_145905, _145907, _145909, _145911), -(hBOOL(hAPP(hAPP(_145909, 2973 ^ [_145905, _145907, _145909, _145911]), _145911)))], (2977 ^ _81967) ^ [_146012, _146014, _146016, _146018] : [2978 ^ _81967 : [(2979 ^ _81967) ^ [_146062] : [hBOOL(hAPP(hAPP(_146016, _146062), _146018))]], -(c_Predicate_ORangeP(_146012, _146014, _146016, _146018))], (3005 ^ _81967) ^ [_146629, _146631, _146633] : [3007 ^ _81967 : [(3008 ^ _81967) ^ [] : [-(hBOOL(hAPP(hAPP(c_member(_146629), 3006 ^ [_146629, _146631, _146633]), _146631)))], (3011 ^ _81967) ^ [] : [-(hBOOL(hAPP(hAPP(c_member(_146629), 3009 ^ [_146629, _146631, _146633]), _146631)))], (3013 ^ _81967) ^ [] : [3006 ^ [_146629, _146631, _146633] = 3009 ^ [_146629, _146631, _146633]], (3015 ^ _81967) ^ [] : [hBOOL(hAPP(hAPP(c_member(tc_prod(_146629, _146629)), hAPP(hAPP(c_Product__Type_OPair(_146629, _146629), 3006 ^ [_146629, _146631, _146633]), 3009 ^ [_146629, _146631, _146633])), _146633))], (3017 ^ _81967) ^ [] : [hBOOL(hAPP(hAPP(c_member(tc_prod(_146629, _146629)), hAPP(hAPP(c_Product__Type_OPair(_146629, _146629), 3009 ^ [_146629, _146631, _146633]), 3006 ^ [_146629, _146631, _146633])), _146633))]], -(c_Relation_Ototal__on(_146629, _146631, _146633))], (2983 ^ _81967) ^ [_146140, _146142, _146144] : [c_Relation_Ototal__on(_146140, _146142, _146144), 2986 ^ _81967 : [(2987 ^ _81967) ^ [_146284] : [hBOOL(hAPP(hAPP(c_member(_146140), _146284), _146142)), 2990 ^ _81967 : [(2991 ^ _81967) ^ [_146424] : [hBOOL(hAPP(hAPP(c_member(_146140), _146424), _146142)), -(_146284 = _146424), -(hBOOL(hAPP(hAPP(c_member(tc_prod(_146140, _146140)), hAPP(hAPP(c_Product__Type_OPair(_146140, _146140), _146284), _146424)), _146144))), -(hBOOL(hAPP(hAPP(c_member(tc_prod(_146140, _146140)), hAPP(hAPP(c_Product__Type_OPair(_146140, _146140), _146424), _146284)), _146144)))]]]]], (3021 ^ _81967) ^ [_147238, _147240, _147242, _147244, _147246, _147248] : [hBOOL(hAPP(hAPP(c_member(tc_prod(_147238, _147238)), hAPP(hAPP(c_Product__Type_OPair(_147238, _147238), _147240), _147242)), c_Relation_Oinv__image(_147244, _147238, _147246, _147248))), -(hBOOL(hAPP(hAPP(c_member(tc_prod(_147244, _147244)), hAPP(hAPP(c_Product__Type_OPair(_147244, _147244), hAPP(_147248, _147240)), hAPP(_147248, _147242))), _147246)))], (3027 ^ _81967) ^ [_147417, _147419, _147421, _147423, _147425, _147427] : [hBOOL(hAPP(hAPP(c_member(tc_prod(_147423, _147423)), hAPP(hAPP(c_Product__Type_OPair(_147423, _147423), hAPP(_147427, _147419)), hAPP(_147427, _147421))), _147425)), -(hBOOL(hAPP(hAPP(c_member(tc_prod(_147417, _147417)), hAPP(hAPP(c_Product__Type_OPair(_147417, _147417), _147419), _147421)), c_Relation_Oinv__image(_147423, _147417, _147425, _147427))))], (3033 ^ _81967) ^ [_147602, _147604, _147606, _147608, _147610] : [c_Relation_Orefl__on(_147602, _147604, _147606), hBOOL(hAPP(hAPP(c_member(tc_prod(_147602, _147602)), hAPP(hAPP(c_Product__Type_OPair(_147602, _147602), _147608), _147610)), _147606)), -(hBOOL(hAPP(hAPP(c_member(_147602), _147610), _147604)))], (3043 ^ _81967) ^ [_147797, _147799, _147801, _147803, _147805] : [c_Relation_Orefl__on(_147797, _147799, _147801), hBOOL(hAPP(hAPP(c_member(tc_prod(_147797, _147797)), hAPP(hAPP(c_Product__Type_OPair(_147797, _147797), _147803), _147805)), _147801)), -(hBOOL(hAPP(hAPP(c_member(_147797), _147803), _147799)))], (3053 ^ _81967) ^ [_147992, _147994, _147996, _147998] : [c_Relation_Orefl__on(_147992, _147994, _147996), hBOOL(hAPP(hAPP(c_member(_147992), _147998), _147994)), -(hBOOL(hAPP(hAPP(c_member(tc_prod(_147992, _147992)), hAPP(hAPP(c_Product__Type_OPair(_147992, _147992), _147998), _147998)), _147996)))], (3063 ^ _81967) ^ [_148183, _148185] : [-(c_Relation_Orefl__on(_148183, _148185, c_Relation_OId__on(_148183, _148185)))], (3065 ^ _81967) ^ [_148212, _148214, _148216, _148218, _148220] : [c_Relation_Orefl__on(_148212, _148214, _148216), c_Relation_Orefl__on(_148212, _148218, _148220), -(c_Relation_Orefl__on(_148212, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_148212, tc_HOL_Obool)), _148214), _148218), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(_148212, _148212), tc_HOL_Obool)), _148216), _148220)))], (3075 ^ _81967) ^ [_148409, _148411, _148413, _148415] : [hBOOL(hAPP(hAPP(c_member(tc_prod(_148409, _148409)), hAPP(hAPP(c_Product__Type_OPair(_148409, _148409), _148411), _148413)), c_Transitive__Closure_Otrancl(_148409, _148415))), -(hBOOL(hAPP(hAPP(c_member(tc_prod(_148409, _148409)), hAPP(hAPP(c_Product__Type_OPair(_148409, _148409), _148411), _148413)), c_Transitive__Closure_Ortrancl(_148409, _148415))))], (3081 ^ _81967) ^ [_148578, _148580, _148582, _148584] : [-(c_Orderings_Oord__class_Oless__eq(tc_fun(_148578, tc_HOL_Obool), c_Relation_ORange(_148580, _148578, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(_148580, _148578), tc_HOL_Obool)), _148582), _148584)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_148578, tc_HOL_Obool)), c_Relation_ORange(_148580, _148578, _148582)), c_Relation_ORange(_148580, _148578, _148584))))], (3083 ^ _81967) ^ [_148648, _148650, _148652, _148654] : [-(c_Orderings_Oord__class_Oless__eq(tc_fun(_148648, tc_HOL_Obool), c_Relation_ODomain(_148648, _148650, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(_148648, _148650), tc_HOL_Obool)), _148652), _148654)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_148648, tc_HOL_Obool)), c_Relation_ODomain(_148648, _148650, _148652)), c_Relation_ODomain(_148648, _148650, _148654))))], (3085 ^ _81967) ^ [_148739, _148741, _148743, _148745] : [hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(_148739, hAPP(hAPP(c_COMBC(_148739, tc_fun(tc_prod(_148739, _148739), tc_HOL_Obool), tc_fun(_148739, tc_HOL_Obool)), hAPP(c_COMBB(tc_fun(_148739, tc_fun(tc_fun(tc_prod(_148739, _148739), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_148739, _148739), tc_HOL_Obool), tc_fun(_148739, tc_HOL_Obool)), _148739, c_COMBC(_148739, tc_fun(tc_prod(_148739, _148739), tc_HOL_Obool), tc_HOL_Obool)), hAPP(c_COMBB(tc_fun(_148739, tc_prod(_148739, _148739)), tc_fun(_148739, tc_fun(tc_fun(tc_prod(_148739, _148739), tc_HOL_Obool), tc_HOL_Obool)), _148739, c_COMBB(tc_prod(_148739, _148739), tc_fun(tc_fun(tc_prod(_148739, _148739), tc_HOL_Obool), tc_HOL_Obool), _148739, c_member(tc_prod(_148739, _148739)))), c_Product__Type_OPair(_148739, _148739)))), _148741)), _148743), _148745)), -(hBOOL(hAPP(hAPP(c_member(tc_prod(_148739, _148739)), hAPP(hAPP(c_Product__Type_OPair(_148739, _148739), _148743), _148745)), c_Transitive__Closure_Ortrancl(_148739, _148741))))], (3091 ^ _81967) ^ [_149100, _149102, _149104, _149106] : [hBOOL(hAPP(hAPP(c_member(tc_prod(_149100, _149100)), hAPP(hAPP(c_Product__Type_OPair(_149100, _149100), _149104), _149106)), c_Transitive__Closure_Ortrancl(_149100, _149102))), -(hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(_149100, hAPP(hAPP(c_COMBC(_149100, tc_fun(tc_prod(_149100, _149100), tc_HOL_Obool), tc_fun(_149100, tc_HOL_Obool)), hAPP(c_COMBB(tc_fun(_149100, tc_fun(tc_fun(tc_prod(_149100, _149100), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_149100, _149100), tc_HOL_Obool), tc_fun(_149100, tc_HOL_Obool)), _149100, c_COMBC(_149100, tc_fun(tc_prod(_149100, _149100), tc_HOL_Obool), tc_HOL_Obool)), hAPP(c_COMBB(tc_fun(_149100, tc_prod(_149100, _149100)), tc_fun(_149100, tc_fun(tc_fun(tc_prod(_149100, _149100), tc_HOL_Obool), tc_HOL_Obool)), _149100, c_COMBB(tc_prod(_149100, _149100), tc_fun(tc_fun(tc_prod(_149100, _149100), tc_HOL_Obool), tc_HOL_Obool), _149100, c_member(tc_prod(_149100, _149100)))), c_Product__Type_OPair(_149100, _149100)))), _149102)), _149104), _149106)))], (3097 ^ _81967) ^ [_149467, _149469, _149471, _149473, _149475] : [-(c_Nitpick_Owf__wfrec_H(_149467, _149469, _149471, _149473, _149475) = hAPP(hAPP(_149473, hAPP(hAPP(hAPP(c_Recdef_Ocut(_149467, _149469), c_Nitpick_Owf__wfrec(_149467, _149469, _149471, _149473)), _149471), _149475)), _149475))], (3099 ^ _81967) ^ [_149527, _149529, _149531] : [c_Orderings_Oord__class_Oless__eq(tc_fun(_149527, tc_HOL_Obool), _149529, _149531), c_Orderings_Oord__class_Oless__eq(tc_fun(_149527, tc_HOL_Obool), _149531, _149529), -(_149529 = _149531)], (3109 ^ _81967) ^ [_149676, _149678, _149680, _149682] : [hBOOL(hAPP(hAPP(_149676, _149678), _149680)), -(hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(_149682, _149676), _149678), _149680)))], (3115 ^ _81967) ^ [_149783, _149785, _149787] : [-(hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(_149783, _149785), _149787), _149787)))], (3117 ^ _81967) ^ [_149818, _149820, _149822, _149824] : [c_Orderings_Oord__class_Oless__eq(tc_fun(_149818, tc_HOL_Obool), _149820, _149822), hBOOL(hAPP(hAPP(c_member(_149818), _149824), _149820)), -(hBOOL(hAPP(hAPP(c_member(_149818), _149824), _149822)))], (3127 ^ _81967) ^ [_149991, _149993, _149995, _149997] : [hBOOL(hAPP(hAPP(c_member(tc_prod(_149991, _149991)), hAPP(hAPP(c_Product__Type_OPair(_149991, _149991), _149993), _149995)), _149997)), -(hBOOL(hAPP(hAPP(c_member(tc_prod(_149991, _149991)), hAPP(hAPP(c_Product__Type_OPair(_149991, _149991), _149993), _149995)), c_Transitive__Closure_Otrancl(_149991, _149997))))], (3133 ^ _81967) ^ [_150154, _150156, _150158] : [hBOOL(hAPP(hAPP(c_member(tc_prod(_150154, _150154)), _150156), _150158)), -(hBOOL(hAPP(hAPP(c_member(tc_prod(_150154, _150154)), _150156), c_Transitive__Closure_Otrancl(_150154, _150158))))], (3139 ^ _81967) ^ [_150279, _150281, _150283, _150285, _150287] : [c_Orderings_Oord__class_Oless__eq(tc_fun(_150279, tc_HOL_Obool), _150281, _150283), -(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_fun(_150279, _150285), tc_HOL_Obool), c_FuncSet_OPi(_150279, _150285, _150283, _150287), c_FuncSet_OPi(_150279, _150285, _150281, _150287)))], (3145 ^ _81967) ^ [_150404, _150406, _150408] : [_150404 = _150406, 3148 ^ _81967 : [(3149 ^ _81967) ^ [] : [-(c_Orderings_Oord__class_Oless__eq(tc_fun(_150408, tc_HOL_Obool), _150404, _150406))], (3151 ^ _81967) ^ [] : [-(c_Orderings_Oord__class_Oless__eq(tc_fun(_150408, tc_HOL_Obool), _150406, _150404))]]], (3153 ^ _81967) ^ [_150529, _150531, _150533, _150535] : [c_Orderings_Oord__class_Oless__eq(tc_fun(_150529, tc_HOL_Obool), _150531, _150533), c_Orderings_Oord__class_Oless__eq(tc_fun(_150529, tc_HOL_Obool), _150533, _150535), -(c_Orderings_Oord__class_Oless__eq(tc_fun(_150529, tc_HOL_Obool), _150531, _150535))], (3163 ^ _81967) ^ [_150690, _150692, _150694] : [_150690 = _150692, -(c_Orderings_Oord__class_Oless__eq(tc_fun(_150694, tc_HOL_Obool), _150692, _150690))], (3169 ^ _81967) ^ [_150777, _150779, _150781] : [_150777 = _150779, -(c_Orderings_Oord__class_Oless__eq(tc_fun(_150781, tc_HOL_Obool), _150777, _150779))], (3175 ^ _81967) ^ [_150882, _150884, _150886] : [_150882 = _150884, 3178 ^ _81967 : [(3179 ^ _81967) ^ [] : [-(c_Orderings_Oord__class_Oless__eq(tc_fun(_150886, tc_HOL_Obool), _150882, _150884))], (3181 ^ _81967) ^ [] : [-(c_Orderings_Oord__class_Oless__eq(tc_fun(_150886, tc_HOL_Obool), _150884, _150882))]]], (3183 ^ _81967) ^ [_150999, _151001, _151003] : [-(_150999 = _151001), c_Orderings_Oord__class_Oless__eq(tc_fun(_151003, tc_HOL_Obool), _150999, _151001), c_Orderings_Oord__class_Oless__eq(tc_fun(_151003, tc_HOL_Obool), _151001, _150999)], (3193 ^ _81967) ^ [_151150, _151152] : [-(c_Orderings_Oord__class_Oless__eq(tc_fun(_151150, tc_HOL_Obool), _151152, _151152))], (3195 ^ _81967) ^ [_151179, _151181, _151183, _151185] : [c_Orderings_Oord__class_Oless__eq(tc_fun(_151179, tc_HOL_Obool), _151181, _151183), hBOOL(hAPP(_151181, _151185)), -(hBOOL(hAPP(_151183, _151185)))], (3205 ^ _81967) ^ [_151332, _151334, _151336, _151338] : [hBOOL(hAPP(_151332, _151334)), c_Orderings_Oord__class_Oless__eq(tc_fun(_151336, tc_HOL_Obool), _151332, _151338), -(hBOOL(hAPP(_151338, _151334)))], (3215 ^ _81967) ^ [_151485, _151487, _151489] : [c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_151485, _151485), tc_HOL_Obool), _151487, _151489), -(c_Orderings_Oord__class_Oless__eq(tc_fun(_151485, tc_HOL_Obool), c_Wellfounded_Oacc(_151485, _151489), c_Wellfounded_Oacc(_151485, _151487)))], (3221 ^ _81967) ^ [_151598, _151600, _151602, _151604, _151606] : [hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(_151598, _151600), _151602), _151604)), hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(_151598, _151600), _151604), _151606)), -(hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(_151598, _151600), _151602), _151606)))], (3231 ^ _81967) ^ [_151787, _151789, _151791, _151793, _151795] : [hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(_151787, _151789), _151791), _151793)), hBOOL(hAPP(hAPP(_151789, _151793), _151795)), -(hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(_151787, _151789), _151791), _151795)))], (3241 ^ _81967) ^ [_151970, _151972, _151974, _151976, _151978] : [hBOOL(hAPP(hAPP(_151970, _151972), _151974)), hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(_151976, _151970), _151974), _151978)), -(hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(_151976, _151970), _151972), _151978)))], (3251 ^ _81967) ^ [_152174, _152176, _152178, _152180] : [hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(_152174, _152176), _152178), _152180)), -(_152180 = _152178), 3259 ^ _81967 : [(3260 ^ _81967) ^ [] : [-(hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(_152174, _152176), _152178), 3258 ^ [_152174, _152176, _152178, _152180])))], (3262 ^ _81967) ^ [] : [-(hBOOL(hAPP(hAPP(_152176, 3258 ^ [_152174, _152176, _152178, _152180]), _152180)))]]], (3264 ^ _81967) ^ [_152376, _152378, _152380, _152382] : [-(hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(_152376, _152378), _152380), _152382))), 3265 ^ _81967 : [(3266 ^ _81967) ^ [] : [_152382 = _152380], (3268 ^ _81967) ^ [_152473] : [hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(_152376, _152378), _152380), _152473)), hBOOL(hAPP(hAPP(_152378, _152473), _152382))]]], (3276 ^ _81967) ^ [_152621, _152623, _152625] : [-(hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(_152621, _152623), _152625), _152625)))], (3278 ^ _81967) ^ [_152656, _152658] : [-(c_Transitive__Closure_Ortranclp(_152656, c_Transitive__Closure_Ortranclp(_152656, _152658)) = c_Transitive__Closure_Ortranclp(_152656, _152658))], (3280 ^ _81967) ^ [_152690, _152692, _152694, _152696] : [hBOOL(hAPP(hAPP(c_member(tc_prod(_152690, _152690)), _152692), c_Transitive__Closure_Otrancl(_152690, _152694))), c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_152690, _152690), tc_HOL_Obool), _152694, _152696), -(hBOOL(hAPP(hAPP(c_member(tc_prod(_152690, _152690)), _152692), c_Transitive__Closure_Otrancl(_152690, _152696))))], (3290 ^ _81967) ^ [_152893, _152895, _152897, _152899] : [c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_152893, _152895), tc_HOL_Obool), _152897, _152899), -(c_Orderings_Oord__class_Oless__eq(tc_fun(_152893, tc_HOL_Obool), c_Relation_ODomain(_152893, _152895, _152897), c_Relation_ODomain(_152893, _152895, _152899)))], (3296 ^ _81967) ^ [_153012, _153014, _153016, _153018] : [c_Orderings_Oord__class_Oless__eq(tc_fun(_153012, tc_HOL_Obool), _153014, _153016), hBOOL(hAPP(hAPP(c_member(_153012), _153018), _153014)), -(hBOOL(hAPP(hAPP(c_member(_153012), _153018), _153016)))], (3306 ^ _81967) ^ [_153185, _153187, _153189, _153191] : [hBOOL(hAPP(hAPP(c_member(_153185), _153187), _153189)), c_Orderings_Oord__class_Oless__eq(tc_fun(_153185, tc_HOL_Obool), _153189, _153191), -(hBOOL(hAPP(hAPP(c_member(_153185), _153187), _153191)))], (3316 ^ _81967) ^ [_153358, _153360, _153362, _153364] : [c_Orderings_Oord__class_Oless__eq(tc_fun(_153358, tc_HOL_Obool), _153360, _153362), hBOOL(hAPP(hAPP(c_member(_153358), _153364), _153360)), -(hBOOL(hAPP(hAPP(c_member(_153358), _153364), _153362)))], (3326 ^ _81967) ^ [_153531, _153533, _153535, _153537] : [class_Lattices_Osemilattice__inf(_153531), c_Orderings_Oord__class_Oless__eq(_153531, _153533, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_153531), _153535), _153537)), 3333 ^ _81967 : [(3334 ^ _81967) ^ [] : [-(c_Orderings_Oord__class_Oless__eq(_153531, _153533, _153535))], (3336 ^ _81967) ^ [] : [-(c_Orderings_Oord__class_Oless__eq(_153531, _153533, _153537))]]], (3338 ^ _81967) ^ [_153718, _153720, _153722, _153724, _153726] : [class_Lattices_Osemilattice__inf(_153718), c_Orderings_Oord__class_Oless__eq(_153718, _153720, _153722), c_Orderings_Oord__class_Oless__eq(_153718, _153724, _153726), -(c_Orderings_Oord__class_Oless__eq(_153718, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_153718), _153720), _153724), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_153718), _153722), _153726)))], (3352 ^ _81967) ^ [_153953, _153955, _153957, _153959] : [class_Lattices_Osemilattice__inf(_153953), c_Orderings_Oord__class_Oless__eq(_153953, _153955, _153957), c_Orderings_Oord__class_Oless__eq(_153953, _153955, _153959), -(c_Orderings_Oord__class_Oless__eq(_153953, _153955, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_153953), _153957), _153959)))], (3366 ^ _81967) ^ [_154166, _154168, _154170, _154172] : [class_Lattices_Osemilattice__inf(_154166), c_Orderings_Oord__class_Oless__eq(_154166, _154168, _154170), c_Orderings_Oord__class_Oless__eq(_154166, _154168, _154172), -(c_Orderings_Oord__class_Oless__eq(_154166, _154168, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_154166), _154170), _154172)))], (3380 ^ _81967) ^ [_154379, _154381, _154383] : [class_Lattices_Osemilattice__inf(_154379), c_Orderings_Oord__class_Oless__eq(_154379, _154381, _154383), -(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_154379), _154383), _154381) = _154381)], (3390 ^ _81967) ^ [_154528, _154530, _154532] : [class_Lattices_Osemilattice__inf(_154528), c_Orderings_Oord__class_Oless__eq(_154528, _154530, _154532), -(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_154528), _154530), _154532) = _154530)], (3400 ^ _81967) ^ [_154677, _154679, _154681, _154683] : [class_Lattices_Osemilattice__inf(_154677), c_Orderings_Oord__class_Oless__eq(_154677, _154679, _154681), -(c_Orderings_Oord__class_Oless__eq(_154677, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_154677), _154683), _154679), _154681))], (3410 ^ _81967) ^ [_154832, _154834, _154836, _154838] : [class_Lattices_Osemilattice__inf(_154832), c_Orderings_Oord__class_Oless__eq(_154832, _154834, _154836), -(c_Orderings_Oord__class_Oless__eq(_154832, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_154832), _154834), _154838), _154836))], (3420 ^ _81967) ^ [_154987, _154989, _154991, _154993] : [class_Lattices_Osemilattice__inf(_154987), 3423 ^ _81967 : [(3424 ^ _81967) ^ [] : [c_Orderings_Oord__class_Oless__eq(_154987, _154989, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_154987), _154991), _154993)), 3427 ^ _81967 : [(3428 ^ _81967) ^ [] : [-(c_Orderings_Oord__class_Oless__eq(_154987, _154989, _154991))], (3430 ^ _81967) ^ [] : [-(c_Orderings_Oord__class_Oless__eq(_154987, _154989, _154993))]]], (3432 ^ _81967) ^ [] : [-(c_Orderings_Oord__class_Oless__eq(_154987, _154989, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_154987), _154991), _154993))), c_Orderings_Oord__class_Oless__eq(_154987, _154989, _154991), c_Orderings_Oord__class_Oless__eq(_154987, _154989, _154993)]]], (3442 ^ _81967) ^ [_155313, _155315, _155317] : [class_Lattices_Osemilattice__inf(_155313), 3445 ^ _81967 : [(3446 ^ _81967) ^ [] : [c_Orderings_Oord__class_Oless__eq(_155313, _155315, _155317), -(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_155313), _155315), _155317) = _155315)], (3452 ^ _81967) ^ [] : [hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_155313), _155315), _155317) = _155315, -(c_Orderings_Oord__class_Oless__eq(_155313, _155315, _155317))]]], (3458 ^ _81967) ^ [_155551, _155553, _155555] : [class_Lattices_Osemilattice__inf(_155551), -(c_Orderings_Oord__class_Oless__eq(_155551, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_155551), _155553), _155555), _155555))], (3464 ^ _81967) ^ [_155646, _155648, _155650] : [class_Lattices_Olattice(_155646), -(c_Orderings_Oord__class_Oless__eq(_155646, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_155646), _155648), _155650), _155650))], (3470 ^ _81967) ^ [_155741, _155743, _155745] : [class_Lattices_Osemilattice__inf(_155741), -(c_Orderings_Oord__class_Oless__eq(_155741, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_155741), _155743), _155745), _155743))], (3476 ^ _81967) ^ [_155836, _155838, _155840] : [class_Lattices_Olattice(_155836), -(c_Orderings_Oord__class_Oless__eq(_155836, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_155836), _155838), _155840), _155838))], (3482 ^ _81967) ^ [_155931, _155933] : [-(c_Transitive__Closure_Ortrancl(_155931, c_Transitive__Closure_Otrancl(_155931, _155933)) = c_Transitive__Closure_Ortrancl(_155931, _155933))], (3484 ^ _81967) ^ [_155965, _155967] : [-(c_Transitive__Closure_Otrancl(_155965, c_Transitive__Closure_Ortrancl(_155965, _155967)) = c_Transitive__Closure_Ortrancl(_155965, _155967))], (3486 ^ _81967) ^ [_155999, _156001, _156003, _156005, _156007] : [c_Orderings_Oord__class_Oless__eq(tc_fun(_155999, tc_HOL_Obool), _156001, _156003), c_Orderings_Oord__class_Oless__eq(tc_fun(_155999, tc_HOL_Obool), _156005, _156007), -(c_Orderings_Oord__class_Oless__eq(tc_fun(_155999, tc_HOL_Obool), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_155999, tc_HOL_Obool)), _156001), _156005), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_155999, tc_HOL_Obool)), _156003), _156007)))], (3496 ^ _81967) ^ [_156208, _156210, _156212, _156214] : [c_Orderings_Oord__class_Oless__eq(tc_fun(_156208, tc_HOL_Obool), _156210, _156212), c_Orderings_Oord__class_Oless__eq(tc_fun(_156208, tc_HOL_Obool), _156210, _156214), -(c_Orderings_Oord__class_Oless__eq(tc_fun(_156208, tc_HOL_Obool), _156210, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_156208, tc_HOL_Obool)), _156212), _156214)))], (3506 ^ _81967) ^ [_156391, _156393, _156395] : [c_Orderings_Oord__class_Oless__eq(tc_fun(_156391, tc_HOL_Obool), _156393, _156395), -(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_156391, tc_HOL_Obool)), _156395), _156393) = _156393)], (3512 ^ _81967) ^ [_156500, _156502, _156504] : [c_Orderings_Oord__class_Oless__eq(tc_fun(_156500, tc_HOL_Obool), _156502, _156504), -(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_156500, tc_HOL_Obool)), _156502), _156504) = _156502)], (3518 ^ _81967) ^ [_156609, _156611, _156613] : [-(c_Orderings_Oord__class_Oless__eq(tc_fun(_156609, tc_HOL_Obool), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_156609, tc_HOL_Obool)), _156611), _156613), _156613))], (3520 ^ _81967) ^ [_156651, _156653, _156655] : [-(c_Orderings_Oord__class_Oless__eq(tc_fun(_156651, tc_HOL_Obool), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_156651, tc_HOL_Obool)), _156653), _156655), _156653))], (3522 ^ _81967) ^ [_156693, _156695, _156697] : [c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_156693, _156693), tc_HOL_Obool), _156695, c_Transitive__Closure_Ortrancl(_156693, _156697)), -(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_156693, _156693), tc_HOL_Obool), c_Transitive__Closure_Ortrancl(_156693, _156695), c_Transitive__Closure_Ortrancl(_156693, _156697)))], (3528 ^ _81967) ^ [_156818, _156820, _156822] : [c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_156818, _156818), tc_HOL_Obool), _156820, _156822), c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_156818, _156818), tc_HOL_Obool), _156822, c_Transitive__Closure_Ortrancl(_156818, _156820)), -(c_Transitive__Closure_Ortrancl(_156818, _156822) = c_Transitive__Closure_Ortrancl(_156818, _156820))], (3538 ^ _81967) ^ [_156997, _156999, _157001] : [c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_156997, _156997), tc_HOL_Obool), _156999, _157001), -(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_156997, _156997), tc_HOL_Obool), c_Transitive__Closure_Ortrancl(_156997, _156999), c_Transitive__Closure_Ortrancl(_156997, _157001)))], (3544 ^ _81967) ^ [_157116, _157118] : [-(c_Relation_ODomain(_157116, _157116, c_Transitive__Closure_Otrancl(_157116, _157118)) = c_Relation_ODomain(_157116, _157116, _157118))], (3546 ^ _81967) ^ [_157152, _157154] : [-(c_Relation_ORange(_157152, _157152, c_Transitive__Closure_Otrancl(_157152, _157154)) = c_Relation_ORange(_157152, _157152, _157154))], (3548 ^ _81967) ^ [_157188, _157190, _157192, _157194] : [hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(_157188, _157190), _157192), _157194)), hBOOL(hAPP(c_Wellfounded_Oaccp(_157188, _157190), _157194)), -(hBOOL(hAPP(c_Wellfounded_Oaccp(_157188, _157190), _157192)))], (3558 ^ _81967) ^ [_157361, _157363, _157365, _157367] : [hBOOL(hAPP(c_Wellfounded_Oaccp(_157361, _157363), _157365)), hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(_157361, _157363), _157367), _157365)), -(hBOOL(hAPP(c_Wellfounded_Oaccp(_157361, _157363), _157367)))], (3568 ^ _81967) ^ [_157534, _157536, _157538, _157540] : [c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_157534, _157536), tc_HOL_Obool), _157538, _157540), c_Relation_Osingle__valued(_157534, _157536, _157540), -(c_Relation_Osingle__valued(_157534, _157536, _157538))], (3578 ^ _81967) ^ [_157707, _157709, _157711] : [c_Orderings_Oord__class_Oless__eq(tc_fun(_157707, tc_HOL_Obool), hAPP(hAPP(c_COMBC(_157707, tc_fun(_157707, tc_HOL_Obool), tc_HOL_Obool), c_member(_157707)), _157709), hAPP(hAPP(c_COMBC(_157707, tc_fun(_157707, tc_HOL_Obool), tc_HOL_Obool), c_member(_157707)), _157711)), -(c_Orderings_Oord__class_Oless__eq(tc_fun(_157707, tc_HOL_Obool), _157709, _157711))], (3584 ^ _81967) ^ [_157858, _157860, _157862] : [c_Orderings_Oord__class_Oless__eq(tc_fun(_157858, tc_HOL_Obool), _157860, _157862), -(c_Orderings_Oord__class_Oless__eq(tc_fun(_157858, tc_HOL_Obool), hAPP(hAPP(c_COMBC(_157858, tc_fun(_157858, tc_HOL_Obool), tc_HOL_Obool), c_member(_157858)), _157860), hAPP(hAPP(c_COMBC(_157858, tc_fun(_157858, tc_HOL_Obool), tc_HOL_Obool), c_member(_157858)), _157862)))], (3590 ^ _81967) ^ [_158015, _158017] : [-(c_Transitive__Closure_Ortranclp(_158015, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_158015, tc_fun(_158015, tc_HOL_Obool))), _158017), hAPP(c_COMBB(tc_fun(_158015, tc_HOL_Obool), tc_fun(_158015, tc_HOL_Obool), _158015, c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _158015, c_fNot)), c_fequal))) = c_Transitive__Closure_Ortranclp(_158015, _158017))], (3592 ^ _81967) ^ [_158079, _158081, _158083, _158085, _158087] : [hBOOL(hAPP(hAPP(c_member(tc_prod(_158079, _158079)), hAPP(hAPP(c_Product__Type_OPair(_158079, _158079), _158081), _158083)), c_Transitive__Closure_Otrancl(_158079, _158085))), hBOOL(hAPP(hAPP(c_member(tc_prod(_158079, _158079)), hAPP(hAPP(c_Product__Type_OPair(_158079, _158079), _158083), _158087)), c_Transitive__Closure_Otrancl(_158079, _158085))), -(hBOOL(hAPP(hAPP(c_member(tc_prod(_158079, _158079)), hAPP(hAPP(c_Product__Type_OPair(_158079, _158079), _158081), _158087)), c_Transitive__Closure_Otrancl(_158079, _158085))))], (3602 ^ _81967) ^ [_158352, _158354, _158356, _158358, _158360] : [hBOOL(hAPP(hAPP(c_member(tc_prod(_158352, _158352)), hAPP(hAPP(c_Product__Type_OPair(_158352, _158352), _158354), _158356)), c_Transitive__Closure_Otrancl(_158352, _158358))), hBOOL(hAPP(hAPP(c_member(tc_prod(_158352, _158352)), hAPP(hAPP(c_Product__Type_OPair(_158352, _158352), _158356), _158360)), _158358)), -(hBOOL(hAPP(hAPP(c_member(tc_prod(_158352, _158352)), hAPP(hAPP(c_Product__Type_OPair(_158352, _158352), _158354), _158360)), c_Transitive__Closure_Otrancl(_158352, _158358))))], (3612 ^ _81967) ^ [_158619, _158621, _158623, _158625, _158627] : [hBOOL(hAPP(hAPP(c_member(tc_prod(_158619, _158619)), hAPP(hAPP(c_Product__Type_OPair(_158619, _158619), _158621), _158623)), _158625)), hBOOL(hAPP(hAPP(c_member(tc_prod(_158619, _158619)), hAPP(hAPP(c_Product__Type_OPair(_158619, _158619), _158623), _158627)), c_Transitive__Closure_Otrancl(_158619, _158625))), -(hBOOL(hAPP(hAPP(c_member(tc_prod(_158619, _158619)), hAPP(hAPP(c_Product__Type_OPair(_158619, _158619), _158621), _158627)), c_Transitive__Closure_Otrancl(_158619, _158625))))], (3622 ^ _81967) ^ [_158886, _158888, _158890, _158892, _158894] : [hBOOL(hAPP(hAPP(c_member(tc_prod(_158886, _158886)), hAPP(hAPP(c_Product__Type_OPair(_158886, _158886), _158888), _158890)), _158892)), hBOOL(hAPP(hAPP(c_member(tc_prod(_158886, _158886)), hAPP(hAPP(c_Product__Type_OPair(_158886, _158886), _158890), _158894)), _158892)), -(hBOOL(hAPP(hAPP(c_member(tc_prod(_158886, _158886)), hAPP(hAPP(c_Product__Type_OPair(_158886, _158886), _158888), _158894)), c_Transitive__Closure_Otrancl(_158886, _158892))))], (3632 ^ _81967) ^ [_159147, _159149, _159151, _159153, _159155] : [hBOOL(hAPP(hAPP(c_member(tc_fun(_159147, _159149)), _159151), c_FuncSet_Oextensional(_159147, _159149, _159153))), c_Orderings_Oord__class_Oless__eq(tc_fun(_159147, tc_HOL_Obool), _159153, _159155), -(hBOOL(hAPP(hAPP(c_member(tc_fun(_159147, _159149)), _159151), c_FuncSet_Oextensional(_159147, _159149, _159155))))], (3642 ^ _81967) ^ [_159373, _159375, _159377, _159379] : [hBOOL(hAPP(hAPP(c_member(tc_prod(_159373, _159373)), hAPP(hAPP(c_Product__Type_OPair(_159373, _159373), _159375), _159377)), c_Transitive__Closure_Ortrancl(_159373, _159379))), -(_159375 = _159377), 3649 ^ _81967 : [(3650 ^ _81967) ^ [] : [_159375 = _159377], (3652 ^ _81967) ^ [] : [-(hBOOL(hAPP(hAPP(c_member(tc_prod(_159373, _159373)), hAPP(hAPP(c_Product__Type_OPair(_159373, _159373), _159375), _159377)), c_Transitive__Closure_Otrancl(_159373, _159379))))]]], (3654 ^ _81967) ^ [_159631, _159633, _159635, _159637] : [-(hBOOL(hAPP(hAPP(c_member(tc_prod(_159631, _159631)), hAPP(hAPP(c_Product__Type_OPair(_159631, _159631), _159633), _159635)), c_Transitive__Closure_Ortrancl(_159631, _159637)))), 3655 ^ _81967 : [(3656 ^ _81967) ^ [] : [_159633 = _159635], (3658 ^ _81967) ^ [] : [-(_159633 = _159635), hBOOL(hAPP(hAPP(c_member(tc_prod(_159631, _159631)), hAPP(hAPP(c_Product__Type_OPair(_159631, _159631), _159633), _159635)), c_Transitive__Closure_Otrancl(_159631, _159637)))]]], (3666 ^ _81967) ^ [_159897, _159899, _159901, _159903, _159905] : [hBOOL(hAPP(hAPP(c_member(tc_prod(_159897, _159897)), hAPP(hAPP(c_Product__Type_OPair(_159897, _159897), _159899), _159901)), _159903)), hBOOL(hAPP(hAPP(c_member(tc_prod(_159897, _159897)), hAPP(hAPP(c_Product__Type_OPair(_159897, _159897), _159901), _159905)), c_Transitive__Closure_Ortrancl(_159897, _159903))), -(hBOOL(hAPP(hAPP(c_member(tc_prod(_159897, _159897)), hAPP(hAPP(c_Product__Type_OPair(_159897, _159897), _159899), _159905)), c_Transitive__Closure_Otrancl(_159897, _159903))))], (3676 ^ _81967) ^ [_160164, _160166, _160168, _160170] : [hBOOL(hAPP(hAPP(c_member(tc_prod(_160164, _160164)), hAPP(hAPP(c_Product__Type_OPair(_160164, _160164), _160166), _160168)), c_Transitive__Closure_Ortrancl(_160164, _160170))), -(_160166 = _160168), 3683 ^ _81967 : [(3684 ^ _81967) ^ [] : [_160166 = _160168], (3686 ^ _81967) ^ [] : [-(hBOOL(hAPP(hAPP(c_member(tc_prod(_160164, _160164)), hAPP(hAPP(c_Product__Type_OPair(_160164, _160164), _160166), _160168)), c_Transitive__Closure_Otrancl(_160164, _160170))))]]], (3688 ^ _81967) ^ [_160426, _160428, _160430, _160432, _160434] : [hBOOL(hAPP(hAPP(c_member(tc_prod(_160426, _160426)), hAPP(hAPP(c_Product__Type_OPair(_160426, _160426), _160428), _160430)), c_Transitive__Closure_Ortrancl(_160426, _160432))), hBOOL(hAPP(hAPP(c_member(tc_prod(_160426, _160426)), hAPP(hAPP(c_Product__Type_OPair(_160426, _160426), _160430), _160434)), _160432)), -(hBOOL(hAPP(hAPP(c_member(tc_prod(_160426, _160426)), hAPP(hAPP(c_Product__Type_OPair(_160426, _160426), _160428), _160434)), c_Transitive__Closure_Otrancl(_160426, _160432))))], (3698 ^ _81967) ^ [_160693, _160695, _160697, _160699, _160701] : [hBOOL(hAPP(hAPP(c_member(tc_prod(_160693, _160693)), hAPP(hAPP(c_Product__Type_OPair(_160693, _160693), _160695), _160697)), c_Transitive__Closure_Otrancl(_160693, _160699))), hBOOL(hAPP(hAPP(c_member(tc_prod(_160693, _160693)), hAPP(hAPP(c_Product__Type_OPair(_160693, _160693), _160697), _160701)), c_Transitive__Closure_Ortrancl(_160693, _160699))), -(hBOOL(hAPP(hAPP(c_member(tc_prod(_160693, _160693)), hAPP(hAPP(c_Product__Type_OPair(_160693, _160693), _160695), _160701)), c_Transitive__Closure_Otrancl(_160693, _160699))))], (3708 ^ _81967) ^ [_160966, _160968, _160970, _160972, _160974] : [hBOOL(hAPP(hAPP(c_member(tc_prod(_160966, _160966)), hAPP(hAPP(c_Product__Type_OPair(_160966, _160966), _160968), _160970)), c_Transitive__Closure_Ortrancl(_160966, _160972))), hBOOL(hAPP(hAPP(c_member(tc_prod(_160966, _160966)), hAPP(hAPP(c_Product__Type_OPair(_160966, _160966), _160970), _160974)), c_Transitive__Closure_Otrancl(_160966, _160972))), -(hBOOL(hAPP(hAPP(c_member(tc_prod(_160966, _160966)), hAPP(hAPP(c_Product__Type_OPair(_160966, _160966), _160968), _160974)), c_Transitive__Closure_Otrancl(_160966, _160972))))], (3718 ^ _81967) ^ [_161239, _161241] : [class_Orderings_Opreorder(_161239), -(c_Orderings_Oord__class_Oless__eq(_161239, _161241, _161241))], (3724 ^ _81967) ^ [_161316, _161318, _161320, _161322] : [class_Orderings_Oord(_161316), 3727 ^ _81967 : [(3728 ^ _81967) ^ [] : [c_Orderings_Oord__class_Oless__eq(tc_fun(_161318, _161316), _161320, _161322), 3731 ^ _81967 : [(3732 ^ _81967) ^ [_161455] : [-(c_Orderings_Oord__class_Oless__eq(_161316, hAPP(_161320, _161455), hAPP(_161322, _161455)))]]], (3734 ^ _81967) ^ [] : [c_Orderings_Oord__class_Oless__eq(_161316, hAPP(_161320, 3735 ^ [_161316, _161318, _161320, _161322]), hAPP(_161322, 3735 ^ [_161316, _161318, _161320, _161322])), -(c_Orderings_Oord__class_Oless__eq(tc_fun(_161318, _161316), _161320, _161322))]]], (3741 ^ _81967) ^ [_161620, _161622, _161624, _161626, _161628] : [class_Orderings_Oord(_161620), c_Orderings_Oord__class_Oless__eq(tc_fun(_161622, _161620), _161624, _161626), -(c_Orderings_Oord__class_Oless__eq(_161620, hAPP(_161624, _161628), hAPP(_161626, _161628)))], (3751 ^ _81967) ^ [_161781, _161783, _161785, _161787, _161789] : [class_Orderings_Oord(_161781), c_Orderings_Oord__class_Oless__eq(tc_fun(_161783, _161781), _161785, _161787), -(c_Orderings_Oord__class_Oless__eq(_161781, hAPP(_161785, _161789), hAPP(_161787, _161789)))], (3761 ^ _81967) ^ [_161942, _161944, _161946, _161948] : [hBOOL(hAPP(hAPP(c_member(tc_prod(_161942, _161942)), hAPP(hAPP(c_Product__Type_OPair(_161942, _161942), _161944), _161946)), c_Transitive__Closure_Otrancl(_161942, _161948))), 3765 ^ _81967 : [(3766 ^ _81967) ^ [] : [-(hBOOL(hAPP(hAPP(c_member(tc_prod(_161942, _161942)), hAPP(hAPP(c_Product__Type_OPair(_161942, _161942), _161944), 3764 ^ [_161942, _161944, _161946, _161948])), c_Transitive__Closure_Ortrancl(_161942, _161948))))], (3768 ^ _81967) ^ [] : [-(hBOOL(hAPP(hAPP(c_member(tc_prod(_161942, _161942)), hAPP(hAPP(c_Product__Type_OPair(_161942, _161942), 3764 ^ [_161942, _161944, _161946, _161948]), _161946)), _161948)))]]], (3770 ^ _81967) ^ [_162202, _162204, _162206] : [c_Orderings_Oord__class_Oless__eq(tc_fun(_162202, tc_fun(_162202, tc_HOL_Obool)), _162204, _162206), -(c_Orderings_Oord__class_Oless__eq(tc_fun(_162202, tc_fun(_162202, tc_HOL_Obool)), c_Transitive__Closure_Ortranclp(_162202, _162204), c_Transitive__Closure_Ortranclp(_162202, _162206)))], (3776 ^ _81967) ^ [_162321, _162323, _162325] : [c_Orderings_Oord__class_Oless__eq(tc_fun(_162321, tc_fun(_162321, tc_HOL_Obool)), _162323, _162325), c_Orderings_Oord__class_Oless__eq(tc_fun(_162321, tc_fun(_162321, tc_HOL_Obool)), _162325, c_Transitive__Closure_Ortranclp(_162321, _162323)), -(c_Transitive__Closure_Ortranclp(_162321, _162325) = c_Transitive__Closure_Ortranclp(_162321, _162323))], (3786 ^ _81967) ^ [_162500, _162502, _162504] : [c_Orderings_Oord__class_Oless__eq(tc_fun(_162500, tc_fun(_162500, tc_HOL_Obool)), _162502, _162504), -(c_Orderings_Oord__class_Oless__eq(tc_fun(_162500, tc_HOL_Obool), c_Wellfounded_Oaccp(_162500, _162504), c_Wellfounded_Oaccp(_162500, _162502)))], (3792 ^ _81967) ^ [_162634, _162636, _162638, _162640] : [c_Orderings_Oord__class_Oless__eq(tc_fun(_162634, tc_fun(_162636, tc_HOL_Obool)), hAPP(hAPP(c_COMBC(_162634, tc_fun(tc_prod(_162634, _162636), tc_HOL_Obool), tc_fun(_162636, tc_HOL_Obool)), hAPP(c_COMBB(tc_fun(_162636, tc_fun(tc_fun(tc_prod(_162634, _162636), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_162634, _162636), tc_HOL_Obool), tc_fun(_162636, tc_HOL_Obool)), _162634, c_COMBC(_162636, tc_fun(tc_prod(_162634, _162636), tc_HOL_Obool), tc_HOL_Obool)), hAPP(c_COMBB(tc_fun(_162636, tc_prod(_162634, _162636)), tc_fun(_162636, tc_fun(tc_fun(tc_prod(_162634, _162636), tc_HOL_Obool), tc_HOL_Obool)), _162634, c_COMBB(tc_prod(_162634, _162636), tc_fun(tc_fun(tc_prod(_162634, _162636), tc_HOL_Obool), tc_HOL_Obool), _162636, c_member(tc_prod(_162634, _162636)))), c_Product__Type_OPair(_162634, _162636)))), _162638), hAPP(hAPP(c_COMBC(_162634, tc_fun(tc_prod(_162634, _162636), tc_HOL_Obool), tc_fun(_162636, tc_HOL_Obool)), hAPP(c_COMBB(tc_fun(_162636, tc_fun(tc_fun(tc_prod(_162634, _162636), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_162634, _162636), tc_HOL_Obool), tc_fun(_162636, tc_HOL_Obool)), _162634, c_COMBC(_162636, tc_fun(tc_prod(_162634, _162636), tc_HOL_Obool), tc_HOL_Obool)), hAPP(c_COMBB(tc_fun(_162636, tc_prod(_162634, _162636)), tc_fun(_162636, tc_fun(tc_fun(tc_prod(_162634, _162636), tc_HOL_Obool), tc_HOL_Obool)), _162634, c_COMBB(tc_prod(_162634, _162636), tc_fun(tc_fun(tc_prod(_162634, _162636), tc_HOL_Obool), tc_HOL_Obool), _162636, c_member(tc_prod(_162634, _162636)))), c_Product__Type_OPair(_162634, _162636)))), _162640)), -(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_162634, _162636), tc_HOL_Obool), _162638, _162640))], (3798 ^ _81967) ^ [_163187, _163189, _163191, _163193] : [c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_163187, _163189), tc_HOL_Obool), _163191, _163193), -(c_Orderings_Oord__class_Oless__eq(tc_fun(_163187, tc_fun(_163189, tc_HOL_Obool)), hAPP(hAPP(c_COMBC(_163187, tc_fun(tc_prod(_163187, _163189), tc_HOL_Obool), tc_fun(_163189, tc_HOL_Obool)), hAPP(c_COMBB(tc_fun(_163189, tc_fun(tc_fun(tc_prod(_163187, _163189), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_163187, _163189), tc_HOL_Obool), tc_fun(_163189, tc_HOL_Obool)), _163187, c_COMBC(_163189, tc_fun(tc_prod(_163187, _163189), tc_HOL_Obool), tc_HOL_Obool)), hAPP(c_COMBB(tc_fun(_163189, tc_prod(_163187, _163189)), tc_fun(_163189, tc_fun(tc_fun(tc_prod(_163187, _163189), tc_HOL_Obool), tc_HOL_Obool)), _163187, c_COMBB(tc_prod(_163187, _163189), tc_fun(tc_fun(tc_prod(_163187, _163189), tc_HOL_Obool), tc_HOL_Obool), _163189, c_member(tc_prod(_163187, _163189)))), c_Product__Type_OPair(_163187, _163189)))), _163191), hAPP(hAPP(c_COMBC(_163187, tc_fun(tc_prod(_163187, _163189), tc_HOL_Obool), tc_fun(_163189, tc_HOL_Obool)), hAPP(c_COMBB(tc_fun(_163189, tc_fun(tc_fun(tc_prod(_163187, _163189), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_163187, _163189), tc_HOL_Obool), tc_fun(_163189, tc_HOL_Obool)), _163187, c_COMBC(_163189, tc_fun(tc_prod(_163187, _163189), tc_HOL_Obool), tc_HOL_Obool)), hAPP(c_COMBB(tc_fun(_163189, tc_prod(_163187, _163189)), tc_fun(_163189, tc_fun(tc_fun(tc_prod(_163187, _163189), tc_HOL_Obool), tc_HOL_Obool)), _163187, c_COMBB(tc_prod(_163187, _163189), tc_fun(tc_fun(tc_prod(_163187, _163189), tc_HOL_Obool), tc_HOL_Obool), _163189, c_member(tc_prod(_163187, _163189)))), c_Product__Type_OPair(_163187, _163189)))), _163193)))], (3804 ^ _81967) ^ [_163746, _163748, _163750] : [class_Orderings_Olinorder(_163746), -(c_Orderings_Oord__class_Oless__eq(_163746, _163748, _163750)), -(c_Orderings_Oord__class_Oless__eq(_163746, _163750, _163748))], (3814 ^ _81967) ^ [_163842, _163844, _163846, _163848] : [class_Orderings_Oorder(_163842), c_Orderings_Oord__class_Oless__eq(_163842, _163844, _163846), c_Orderings_Oord__class_Oless__eq(_163842, _163848, _163844), -(c_Orderings_Oord__class_Oless__eq(_163842, _163848, _163846))], (3828 ^ _81967) ^ [_164039, _164041, _164043] : [class_Orderings_Oorder(_164039), c_Orderings_Oord__class_Oless__eq(_164039, _164041, _164043), c_Orderings_Oord__class_Oless__eq(_164039, _164043, _164041), -(_164043 = _164041)], (3842 ^ _81967) ^ [_164228, _164230, _164232, _164234] : [class_Orderings_Opreorder(_164228), c_Orderings_Oord__class_Oless__eq(_164228, _164230, _164232), c_Orderings_Oord__class_Oless__eq(_164228, _164232, _164234), -(c_Orderings_Oord__class_Oless__eq(_164228, _164230, _164234))], (3856 ^ _81967) ^ [_164425, _164427, _164429] : [class_Orderings_Oorder(_164425), c_Orderings_Oord__class_Oless__eq(_164425, _164427, _164429), c_Orderings_Oord__class_Oless__eq(_164425, _164429, _164427), -(_164427 = _164429)], (3870 ^ _81967) ^ [_164614, _164616, _164618, _164620] : [class_Orderings_Oorder(_164614), c_Orderings_Oord__class_Oless__eq(_164614, _164616, _164618), _164616 = _164620, -(c_Orderings_Oord__class_Oless__eq(_164614, _164620, _164618))], (3884 ^ _81967) ^ [_164809, _164811, _164813, _164815] : [class_Orderings_Oord(_164809), c_Orderings_Oord__class_Oless__eq(_164809, _164811, _164813), _164813 = _164815, -(c_Orderings_Oord__class_Oless__eq(_164809, _164811, _164815))], (3898 ^ _81967) ^ [_165004, _165006, _165008, _165010] : [class_Orderings_Oorder(_165004), _165006 = _165008, c_Orderings_Oord__class_Oless__eq(_165004, _165010, _165008), -(c_Orderings_Oord__class_Oless__eq(_165004, _165010, _165006))], (3912 ^ _81967) ^ [_165199, _165201, _165203, _165205] : [class_Orderings_Oord(_165199), _165201 = _165203, c_Orderings_Oord__class_Oless__eq(_165199, _165203, _165205), -(c_Orderings_Oord__class_Oless__eq(_165199, _165201, _165205))], (3926 ^ _81967) ^ [_165394, _165396, _165398] : [class_Orderings_Oorder(_165394), c_Orderings_Oord__class_Oless__eq(_165394, _165396, _165398), 3933 ^ _81967 : [(3934 ^ _81967) ^ [] : [c_Orderings_Oord__class_Oless__eq(_165394, _165398, _165396), -(_165398 = _165396)], (3940 ^ _81967) ^ [] : [_165398 = _165396, -(c_Orderings_Oord__class_Oless__eq(_165394, _165398, _165396))]]], (3946 ^ _81967) ^ [_165664, _165666, _165668] : [class_Orderings_Opreorder(_165664), _165666 = _165668, -(c_Orderings_Oord__class_Oless__eq(_165664, _165666, _165668))], (3956 ^ _81967) ^ [_165797, _165799, _165801] : [class_Orderings_Oorder(_165797), 3959 ^ _81967 : [(3960 ^ _81967) ^ [] : [_165799 = _165801, 3963 ^ _81967 : [(3964 ^ _81967) ^ [] : [-(c_Orderings_Oord__class_Oless__eq(_165797, _165799, _165801))], (3966 ^ _81967) ^ [] : [-(c_Orderings_Oord__class_Oless__eq(_165797, _165801, _165799))]]], (3968 ^ _81967) ^ [] : [-(_165799 = _165801), c_Orderings_Oord__class_Oless__eq(_165797, _165799, _165801), c_Orderings_Oord__class_Oless__eq(_165797, _165801, _165799)]]], (3978 ^ _81967) ^ [_166088, _166090, _166092] : [class_Orderings_Olinorder(_166088), -(c_Orderings_Oord__class_Oless__eq(_166088, _166090, _166092)), -(c_Orderings_Oord__class_Oless__eq(_166088, _166092, _166090))], (3988 ^ _81967) ^ [_166182, _166184, _166186, _166188, _166190] : [c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, hAPP(_166182, _166184), hAPP(_166182, _166186)), hBOOL(hAPP(hAPP(c_member(tc_prod(_166188, _166188)), hAPP(hAPP(c_Product__Type_OPair(_166188, _166188), _166184), _166186)), _166190)), -(hBOOL(hAPP(hAPP(c_member(tc_prod(_166188, _166188)), hAPP(hAPP(c_Product__Type_OPair(_166188, _166188), _166184), _166186)), c_Wellfounded_Omlex__prod(_166188, _166182, _166190))))], (3998 ^ _81967) ^ [_166421, _166423, _166425, _166427, _166429] : [4000 ^ _81967 : [(4001 ^ _81967) ^ [] : [-(hBOOL(hAPP(hAPP(c_member(_166421), 3999 ^ [_166421, _166423, _166425, _166427, _166429]), _166423)))], (4003 ^ _81967) ^ [] : [c_Orderings_Oord__class_Oless__eq(tc_fun(_166425, tc_HOL_Obool), hAPP(_166427, 3999 ^ [_166421, _166423, _166425, _166427, _166429]), hAPP(_166429, 3999 ^ [_166421, _166423, _166425, _166427, _166429]))]], -(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_fun(_166421, _166425), tc_HOL_Obool), c_FuncSet_OPi(_166421, _166425, _166423, _166427), c_FuncSet_OPi(_166421, _166425, _166423, _166429)))], (4007 ^ _81967) ^ [_166676, _166678, _166680, _166682] : [hBOOL(hAPP(hAPP(c_member(tc_prod(_166676, _166676)), hAPP(hAPP(c_Product__Type_OPair(_166676, _166676), _166678), _166680)), c_Transitive__Closure_Otrancl(_166676, _166682))), 4011 ^ _81967 : [(4012 ^ _81967) ^ [] : [-(hBOOL(hAPP(hAPP(c_member(tc_prod(_166676, _166676)), hAPP(hAPP(c_Product__Type_OPair(_166676, _166676), _166678), 4010 ^ [_166676, _166678, _166680, _166682])), _166682)))], (4014 ^ _81967) ^ [] : [-(hBOOL(hAPP(hAPP(c_member(tc_prod(_166676, _166676)), hAPP(hAPP(c_Product__Type_OPair(_166676, _166676), 4010 ^ [_166676, _166678, _166680, _166682]), _166680)), c_Transitive__Closure_Ortrancl(_166676, _166682))))]]], (4016 ^ _81967) ^ [_166951, _166953] : [c_Wellfounded_Oacyclic(_166951, _166953), 4019 ^ _81967 : [(4020 ^ _81967) ^ [_167036] : [hBOOL(hAPP(hAPP(c_member(tc_prod(_166951, _166951)), hAPP(hAPP(c_Product__Type_OPair(_166951, _166951), _167036), _167036)), c_Transitive__Closure_Otrancl(_166951, _166953)))]]], (4022 ^ _81967) ^ [_167079, _167081] : [-(hBOOL(hAPP(hAPP(c_member(tc_prod(_167079, _167079)), hAPP(hAPP(c_Product__Type_OPair(_167079, _167079), 4023 ^ [_167079, _167081]), 4023 ^ [_167079, _167081])), c_Transitive__Closure_Otrancl(_167079, _167081)))), -(c_Wellfounded_Oacyclic(_167079, _167081))], (4029 ^ _81967) ^ [_167153, _167155, _167157, _167159, _167161, _167163] : [hBOOL(hAPP(hAPP(_167153, _167155), _167157)), c_Orderings_Oord__class_Oless__eq(tc_fun(_167159, tc_fun(_167161, tc_HOL_Obool)), _167153, _167163), -(hBOOL(hAPP(hAPP(_167163, _167155), _167157)))], (4039 ^ _81967) ^ [_167332, _167334, _167336, _167338, _167340, _167342] : [c_Orderings_Oord__class_Oless__eq(tc_fun(_167332, tc_fun(_167334, tc_HOL_Obool)), _167336, _167338), hBOOL(hAPP(hAPP(_167336, _167340), _167342)), -(hBOOL(hAPP(hAPP(_167338, _167340), _167342)))], (4049 ^ _81967) ^ [_167511, _167513, _167515] : [c_Wellfounded_Oacyclic(_167511, _167513), c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_167511, _167511), tc_HOL_Obool), _167515, _167513), -(c_Wellfounded_Oacyclic(_167511, _167515))], (4059 ^ _81967) ^ [_167654, _167656] : [-(hBOOL(hAPP(hAPP(c_member(tc_prod(_167654, _167654)), hAPP(hAPP(c_Product__Type_OPair(_167654, _167654), 4060 ^ [_167654, _167656]), 4060 ^ [_167654, _167656])), c_Transitive__Closure_Otrancl(_167654, _167656)))), -(c_Wellfounded_Oacyclic(_167654, _167656))], (4066 ^ _81967) ^ [_167726, _167728, _167730, _167732, _167734] : [hBOOL(hAPP(hAPP(c_member(tc_prod(_167726, _167726)), hAPP(hAPP(c_Product__Type_OPair(_167726, _167726), _167728), _167730)), c_Transitive__Closure_Ortrancl(_167726, _167732))), c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_167726, _167726), tc_HOL_Obool), _167732, c_Product__Type_OSigma(_167726, _167726, _167734, c_COMBK(tc_fun(_167726, tc_HOL_Obool), _167726, _167734))), -(_167728 = _167730), -(hBOOL(hAPP(hAPP(c_member(_167726), _167728), _167734)))], (4080 ^ _81967) ^ [_167997, _167999, _168001, _168003] : [c_Wellfounded_Oacyclic(_167997, c_Set_Oinsert(tc_prod(_167997, _167997), hAPP(hAPP(c_Product__Type_OPair(_167997, _167997), _167999), _168001), _168003)), 4083 ^ _81967 : [(4084 ^ _81967) ^ [] : [-(c_Wellfounded_Oacyclic(_167997, _168003))], (4086 ^ _81967) ^ [] : [hBOOL(hAPP(hAPP(c_member(tc_prod(_167997, _167997)), hAPP(hAPP(c_Product__Type_OPair(_167997, _167997), _168001), _167999)), c_Transitive__Closure_Ortrancl(_167997, _168003)))]]], (4088 ^ _81967) ^ [_168184, _168186, _168188, _168190] : [-(c_Wellfounded_Oacyclic(_168184, c_Set_Oinsert(tc_prod(_168184, _168184), hAPP(hAPP(c_Product__Type_OPair(_168184, _168184), _168186), _168188), _168190))), c_Wellfounded_Oacyclic(_168184, _168190), -(hBOOL(hAPP(hAPP(c_member(tc_prod(_168184, _168184)), hAPP(hAPP(c_Product__Type_OPair(_168184, _168184), _168188), _168186)), c_Transitive__Closure_Ortrancl(_168184, _168190))))], (4098 ^ _81967) ^ [_168402, _168404, _168406, _168408] : [4099 ^ _81967 : [(4100 ^ _81967) ^ [] : [hBOOL(hAPP(hAPP(c_member(_168402), _168404), _168406))], (4102 ^ _81967) ^ [] : [_168404 = _168408]], -(hBOOL(hAPP(hAPP(c_member(_168402), _168404), c_Set_Oinsert(_168402, _168408, _168406))))], (4106 ^ _81967) ^ [_168559, _168561, _168563, _168565] : [hBOOL(hAPP(hAPP(c_member(_168559), _168561), c_Set_Oinsert(_168559, _168563, _168565))), -(_168561 = _168563), -(hBOOL(hAPP(hAPP(c_member(_168559), _168561), _168565)))], (4116 ^ _81967) ^ [_168691, _168693, _168695, _168697, _168699, _168701] : [hBOOL(hAPP(hAPP(c_member(_168691), _168693), _168695)), hBOOL(hAPP(hAPP(c_member(_168697), _168699), hAPP(_168701, _168693))), -(hBOOL(hAPP(hAPP(c_member(tc_prod(_168691, _168697)), hAPP(hAPP(c_Product__Type_OPair(_168691, _168697), _168693), _168699)), c_Product__Type_OSigma(_168691, _168697, _168695, _168701))))], (4126 ^ _81967) ^ [_168918, _168920, _168922, _168924] : [c_Orderings_Oord__class_Oless__eq(tc_fun(_168918, tc_HOL_Obool), _168920, _168922), -(c_Orderings_Oord__class_Oless__eq(tc_fun(_168918, tc_HOL_Obool), c_Set_Oinsert(_168918, _168924, _168920), c_Set_Oinsert(_168918, _168924, _168922)))], (4132 ^ _81967) ^ [_169031, _169033, _169035, _169037] : [c_Orderings_Oord__class_Oless__eq(tc_fun(_169031, tc_HOL_Obool), _169033, _169035), -(c_Orderings_Oord__class_Oless__eq(tc_fun(_169031, tc_HOL_Obool), _169033, c_Set_Oinsert(_169031, _169037, _169035)))], (4138 ^ _81967) ^ [_169136, _169138, _169140] : [-(c_Orderings_Oord__class_Oless__eq(tc_fun(_169136, tc_HOL_Obool), _169138, c_Set_Oinsert(_169136, _169140, _169138)))], (4140 ^ _81967) ^ [_169171, _169173, _169175, _169177] : [-(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_169171, tc_HOL_Obool)), c_Set_Oinsert(_169171, _169173, _169175)), c_Set_Oinsert(_169171, _169173, _169177)) = c_Set_Oinsert(_169171, _169173, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_169171, tc_HOL_Obool)), _169175), _169177)))], (4142 ^ _81967) ^ [_169234, _169236, _169238] : [hBOOL(hAPP(hAPP(c_member(_169234), _169236), _169238)), -(c_Set_Oinsert(_169234, _169236, _169238) = _169238)], (4148 ^ _81967) ^ [_169335, _169337, _169339, _169341] : [hBOOL(hAPP(hAPP(c_member(_169335), _169337), _169339)), -(hBOOL(hAPP(hAPP(c_member(_169335), _169337), c_Set_Oinsert(_169335, _169341, _169339))))], (4154 ^ _81967) ^ [_169451, _169453, _169455, _169457] : [-(hBOOL(hAPP(hAPP(c_member(_169451), _169453), _169455))), -(hBOOL(hAPP(hAPP(c_member(_169451), _169453), _169457))), 4161 ^ _81967 : [(4162 ^ _81967) ^ [] : [c_Set_Oinsert(_169451, _169453, _169455) = c_Set_Oinsert(_169451, _169453, _169457), -(_169455 = _169457)], (4168 ^ _81967) ^ [] : [_169455 = _169457, -(c_Set_Oinsert(_169451, _169453, _169455) = c_Set_Oinsert(_169451, _169453, _169457))]]], (4184 ^ _81967) ^ [_169919, _169921, _169923, _169925] : [4185 ^ _81967 : [(4186 ^ _81967) ^ [] : [_169921 = _169923], (4188 ^ _81967) ^ [] : [hBOOL(hAPP(hAPP(c_member(_169919), _169921), _169925))]], -(hBOOL(hAPP(hAPP(c_member(_169919), _169921), c_Set_Oinsert(_169919, _169923, _169925))))], (4174 ^ _81967) ^ [_169793, _169795, _169797, _169799] : [hBOOL(hAPP(hAPP(c_member(_169793), _169795), c_Set_Oinsert(_169793, _169797, _169799))), -(_169795 = _169797), -(hBOOL(hAPP(hAPP(c_member(_169793), _169795), _169799)))], (4192 ^ _81967) ^ [_170076, _170078, _170080] : [-(hBOOL(hAPP(hAPP(c_member(_170076), _170078), c_Set_Oinsert(_170076, _170078, _170080))))], (4194 ^ _81967) ^ [_170114, _170116, _170118] : [-(c_Set_Oinsert(_170114, _170116, c_Set_Oinsert(_170114, _170116, _170118)) = c_Set_Oinsert(_170114, _170116, _170118))], (4196 ^ _81967) ^ [_170153, _170155, _170157, _170159] : [-(c_Set_Oinsert(_170153, _170155, c_Set_Oinsert(_170153, _170157, _170159)) = c_Set_Oinsert(_170153, _170157, c_Set_Oinsert(_170153, _170155, _170159)))], (4208 ^ _81967) ^ [_170325, _170327, _170329, _170331] : [4209 ^ _81967 : [(4210 ^ _81967) ^ [] : [_170327 = _170331], (4212 ^ _81967) ^ [] : [hBOOL(hAPP(_170329, _170331))]], -(hBOOL(hAPP(c_Set_Oinsert(_170325, _170327, _170329), _170331)))], (4198 ^ _81967) ^ [_170219, _170221, _170223, _170225] : [hBOOL(hAPP(c_Set_Oinsert(_170219, _170221, _170223), _170225)), -(_170221 = _170225), -(hBOOL(hAPP(_170223, _170225)))], (4216 ^ _81967) ^ [_170462, _170464, _170466, _170468, _170470] : [-(c_Relation_ODomain(_170462, _170464, c_Set_Oinsert(tc_prod(_170462, _170464), hAPP(hAPP(c_Product__Type_OPair(_170462, _170464), _170466), _170468), _170470)) = c_Set_Oinsert(_170462, _170466, c_Relation_ODomain(_170462, _170464, _170470)))], (4218 ^ _81967) ^ [_170521, _170523, _170525, _170527, _170529] : [-(c_Relation_ORange(_170521, _170523, c_Set_Oinsert(tc_prod(_170521, _170523), hAPP(hAPP(c_Product__Type_OPair(_170521, _170523), _170525), _170527), _170529)) = c_Set_Oinsert(_170523, _170527, c_Relation_ORange(_170521, _170523, _170529)))], (4220 ^ _81967) ^ [_170580, _170582, _170584, _170586, _170588, _170590] : [hBOOL(hAPP(hAPP(c_member(_170580), _170582), _170584)), 4223 ^ _81967 : [(4224 ^ _81967) ^ [] : [c_Product__Type_OSigma(_170586, _170580, _170588, c_COMBK(tc_fun(_170580, tc_HOL_Obool), _170586, _170584)) = c_Product__Type_OSigma(_170586, _170580, _170590, c_COMBK(tc_fun(_170580, tc_HOL_Obool), _170586, _170584)), -(_170588 = _170590)], (4230 ^ _81967) ^ [] : [_170588 = _170590, -(c_Product__Type_OSigma(_170586, _170580, _170588, c_COMBK(tc_fun(_170580, tc_HOL_Obool), _170586, _170584)) = c_Product__Type_OSigma(_170586, _170580, _170590, c_COMBK(tc_fun(_170580, tc_HOL_Obool), _170586, _170584)))]]], (4236 ^ _81967) ^ [_170918, _170920, _170922, _170924] : [c_Orderings_Oord__class_Oless__eq(tc_fun(_170918, tc_HOL_Obool), c_Set_Oinsert(_170918, _170920, _170922), _170924), 4239 ^ _81967 : [(4240 ^ _81967) ^ [] : [-(hBOOL(hAPP(hAPP(c_member(_170918), _170920), _170924)))], (4242 ^ _81967) ^ [] : [-(c_Orderings_Oord__class_Oless__eq(tc_fun(_170918, tc_HOL_Obool), _170922, _170924))]]], (4244 ^ _81967) ^ [_171059, _171061, _171063, _171065] : [-(c_Orderings_Oord__class_Oless__eq(tc_fun(_171059, tc_HOL_Obool), c_Set_Oinsert(_171059, _171061, _171063), _171065)), hBOOL(hAPP(hAPP(c_member(_171059), _171061), _171065)), c_Orderings_Oord__class_Oless__eq(tc_fun(_171059, tc_HOL_Obool), _171063, _171065)], (4254 ^ _81967) ^ [_171235, _171237, _171239, _171241] : [-(hBOOL(hAPP(hAPP(c_member(_171235), _171237), _171239))), 4257 ^ _81967 : [(4258 ^ _81967) ^ [] : [c_Orderings_Oord__class_Oless__eq(tc_fun(_171235, tc_HOL_Obool), _171239, c_Set_Oinsert(_171235, _171237, _171241)), -(c_Orderings_Oord__class_Oless__eq(tc_fun(_171235, tc_HOL_Obool), _171239, _171241))], (4264 ^ _81967) ^ [] : [c_Orderings_Oord__class_Oless__eq(tc_fun(_171235, tc_HOL_Obool), _171239, _171241), -(c_Orderings_Oord__class_Oless__eq(tc_fun(_171235, tc_HOL_Obool), _171239, c_Set_Oinsert(_171235, _171237, _171241)))]]], (4270 ^ _81967) ^ [_171510, _171512, _171514, _171516] : [hBOOL(hAPP(hAPP(c_member(_171510), _171512), _171514)), -(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_171510, tc_HOL_Obool)), _171514), c_Set_Oinsert(_171510, _171512, _171516)) = c_Set_Oinsert(_171510, _171512, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_171510, tc_HOL_Obool)), _171514), _171516)))], (4276 ^ _81967) ^ [_171659, _171661, _171663, _171665] : [-(hBOOL(hAPP(hAPP(c_member(_171659), _171661), _171663))), -(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_171659, tc_HOL_Obool)), _171663), c_Set_Oinsert(_171659, _171661, _171665)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_171659, tc_HOL_Obool)), _171663), _171665))], (4282 ^ _81967) ^ [_171749, _171751, _171753, _171755] : [hBOOL(hAPP(hAPP(c_member(_171749), _171751), _171753)), -(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_171749, tc_HOL_Obool)), c_Set_Oinsert(_171749, _171751, _171755)), _171753) = c_Set_Oinsert(_171749, _171751, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_171749, tc_HOL_Obool)), _171755), _171753)))], (4288 ^ _81967) ^ [_171898, _171900, _171902, _171904] : [-(hBOOL(hAPP(hAPP(c_member(_171898), _171900), _171902))), -(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_171898, tc_HOL_Obool)), c_Set_Oinsert(_171898, _171900, _171904)), _171902) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_171898, tc_HOL_Obool)), _171904), _171902))], (4294 ^ _81967) ^ [_171969, _171971, _171973, _171975] : [-(hBOOL(hAPP(hAPP(c_member(_171969), _171971), _171973))), -(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_171969, tc_HOL_Obool)), _171973), c_Set_Oinsert(_171969, _171971, _171975)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_171969, tc_HOL_Obool)), _171973), _171975))], (4300 ^ _81967) ^ [_172038, _172040, _172042, _172044] : [-(hBOOL(hAPP(hAPP(c_member(_172038), _172040), _172042))), -(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_172038, tc_HOL_Obool)), c_Set_Oinsert(_172038, _172040, _172044)), _172042) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_172038, tc_HOL_Obool)), _172044), _172042))], (4306 ^ _81967) ^ [_172111, _172113, _172115, _172117] : [hBOOL(hAPP(hAPP(c_member(_172111), _172113), _172115)), -(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_172111, tc_HOL_Obool)), _172115), c_Set_Oinsert(_172111, _172113, _172117)) = c_Set_Oinsert(_172111, _172113, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_172111, tc_HOL_Obool)), _172115), _172117)))], (4312 ^ _81967) ^ [_172266, _172268, _172270, _172272] : [hBOOL(hAPP(hAPP(c_member(_172266), _172268), _172270)), -(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_172266, tc_HOL_Obool)), c_Set_Oinsert(_172266, _172268, _172272)), _172270) = c_Set_Oinsert(_172266, _172268, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_172266, tc_HOL_Obool)), _172272), _172270)))], (4318 ^ _81967) ^ [_172421, _172423, _172425] : [c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_172421, _172421), tc_HOL_Obool), _172423, c_Product__Type_OSigma(_172421, _172421, _172425, c_COMBK(tc_fun(_172421, tc_HOL_Obool), _172421, _172425))), -(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_172421, _172421), tc_HOL_Obool), c_Transitive__Closure_Otrancl(_172421, _172423), c_Product__Type_OSigma(_172421, _172421, _172425, c_COMBK(tc_fun(_172421, tc_HOL_Obool), _172421, _172425))))], (4324 ^ _81967) ^ [_172582, _172584, _172586, _172588, _172590] : [-(c_Product__Type_OSigma(_172582, _172584, _172586, hAPP(hAPP(c_COMBS(_172582, tc_fun(_172584, tc_HOL_Obool), tc_fun(_172584, tc_HOL_Obool)), hAPP(c_COMBB(tc_fun(_172584, tc_HOL_Obool), tc_fun(tc_fun(_172584, tc_HOL_Obool), tc_fun(_172584, tc_HOL_Obool)), _172582, c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_172584, tc_HOL_Obool))), _172588)), _172590)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(_172582, _172584), tc_HOL_Obool)), c_Product__Type_OSigma(_172582, _172584, _172586, _172588)), c_Product__Type_OSigma(_172582, _172584, _172586, _172590)))], (4326 ^ _81967) ^ [_172683, _172685, _172687, _172689, _172691] : [-(c_Product__Type_OSigma(_172683, _172685, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_172683, tc_HOL_Obool)), _172687), _172689), c_COMBK(tc_fun(_172685, tc_HOL_Obool), _172683, _172691)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(_172683, _172685), tc_HOL_Obool)), c_Product__Type_OSigma(_172683, _172685, _172687, c_COMBK(tc_fun(_172685, tc_HOL_Obool), _172683, _172691))), c_Product__Type_OSigma(_172683, _172685, _172689, c_COMBK(tc_fun(_172685, tc_HOL_Obool), _172683, _172691))))], (4328 ^ _81967) ^ [_172775, _172777, _172779, _172781, _172783] : [-(c_Product__Type_OSigma(_172775, _172777, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_172775, tc_HOL_Obool)), _172779), _172781), _172783) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(_172775, _172777), tc_HOL_Obool)), c_Product__Type_OSigma(_172775, _172777, _172779, _172783)), c_Product__Type_OSigma(_172775, _172777, _172781, _172783)))], (4330 ^ _81967) ^ [_172846, _172848] : [-(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_172846, _172846), tc_HOL_Obool), c_Relation_OId__on(_172846, _172848), c_Product__Type_OSigma(_172846, _172846, _172848, c_COMBK(tc_fun(_172846, tc_HOL_Obool), _172846, _172848))))], (4332 ^ _81967) ^ [_172920, _172922, _172924, _172926, _172928, _172930] : [hBOOL(hAPP(hAPP(c_member(tc_prod(_172920, _172922)), hAPP(hAPP(c_Product__Type_OPair(_172920, _172922), _172924), _172926)), c_Product__Type_OSigma(_172920, _172922, _172928, _172930))), 4335 ^ _81967 : [(4336 ^ _81967) ^ [] : [-(hBOOL(hAPP(hAPP(c_member(_172920), _172924), _172928)))], (4338 ^ _81967) ^ [] : [-(hBOOL(hAPP(hAPP(c_member(_172922), _172926), hAPP(_172930, _172924))))]]], (4340 ^ _81967) ^ [_173109, _173111, _173113, _173115, _173117, _173119] : [-(hBOOL(hAPP(hAPP(c_member(tc_prod(_173109, _173111)), hAPP(hAPP(c_Product__Type_OPair(_173109, _173111), _173113), _173115)), c_Product__Type_OSigma(_173109, _173111, _173117, _173119)))), hBOOL(hAPP(hAPP(c_member(_173109), _173113), _173117)), hBOOL(hAPP(hAPP(c_member(_173111), _173115), hAPP(_173119, _173113)))], (4350 ^ _81967) ^ [_173338, _173340, _173342, _173344, _173346, _173348] : [hBOOL(hAPP(hAPP(c_member(tc_prod(_173338, _173340)), hAPP(hAPP(c_Product__Type_OPair(_173338, _173340), _173342), _173344)), c_Product__Type_OSigma(_173338, _173340, _173346, _173348))), -(hBOOL(hAPP(hAPP(c_member(_173338), _173342), _173346)))], (4356 ^ _81967) ^ [_173485, _173487, _173489, _173491, _173493, _173495] : [hBOOL(hAPP(hAPP(c_member(tc_prod(_173485, _173487)), hAPP(hAPP(c_Product__Type_OPair(_173485, _173487), _173489), _173491)), c_Product__Type_OSigma(_173485, _173487, _173493, _173495))), -(hBOOL(hAPP(hAPP(c_member(_173487), _173491), hAPP(_173495, _173489))))], (4362 ^ _81967) ^ [_173638, _173640, _173642, _173644, _173646, _173648] : [hBOOL(hAPP(hAPP(c_member(tc_prod(_173638, _173640)), hAPP(hAPP(c_Product__Type_OPair(_173638, _173640), _173642), _173644)), c_Product__Type_OSigma(_173638, _173640, _173646, _173648))), 4365 ^ _81967 : [(4366 ^ _81967) ^ [] : [-(hBOOL(hAPP(hAPP(c_member(_173638), _173642), _173646)))], (4368 ^ _81967) ^ [] : [-(hBOOL(hAPP(hAPP(c_member(_173640), _173644), hAPP(_173648, _173642))))]]], (4370 ^ _81967) ^ [_173835, _173837, _173839, _173841, _173843, _173845] : [hBOOL(hAPP(hAPP(c_member(_173835), _173837), _173839)), 4373 ^ _81967 : [(4374 ^ _81967) ^ [] : [c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_173841, _173835), tc_HOL_Obool), c_Product__Type_OSigma(_173841, _173835, _173843, c_COMBK(tc_fun(_173835, tc_HOL_Obool), _173841, _173839)), c_Product__Type_OSigma(_173841, _173835, _173845, c_COMBK(tc_fun(_173835, tc_HOL_Obool), _173841, _173839))), -(c_Orderings_Oord__class_Oless__eq(tc_fun(_173841, tc_HOL_Obool), _173843, _173845))], (4380 ^ _81967) ^ [] : [c_Orderings_Oord__class_Oless__eq(tc_fun(_173841, tc_HOL_Obool), _173843, _173845), -(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_173841, _173835), tc_HOL_Obool), c_Product__Type_OSigma(_173841, _173835, _173843, c_COMBK(tc_fun(_173835, tc_HOL_Obool), _173841, _173839)), c_Product__Type_OSigma(_173841, _173835, _173845, c_COMBK(tc_fun(_173835, tc_HOL_Obool), _173841, _173839))))]]], (4386 ^ _81967) ^ [_174203, _174205, _174207] : [c_Relation_Orefl__on(_174203, _174205, _174207), 4389 ^ _81967 : [(4390 ^ _81967) ^ [] : [-(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_174203, _174203), tc_HOL_Obool), _174207, c_Product__Type_OSigma(_174203, _174203, _174205, c_COMBK(tc_fun(_174203, tc_HOL_Obool), _174203, _174205))))], (4392 ^ _81967) ^ [_174361] : [hBOOL(hAPP(hAPP(c_member(_174203), _174361), _174205)), -(hBOOL(hAPP(hAPP(c_member(tc_prod(_174203, _174203)), hAPP(hAPP(c_Product__Type_OPair(_174203, _174203), _174361), _174361)), _174207)))]]], (4398 ^ _81967) ^ [_174496, _174498, _174500] : [-(c_Relation_Orefl__on(_174496, _174498, _174500)), c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_174496, _174496), tc_HOL_Obool), _174500, c_Product__Type_OSigma(_174496, _174496, _174498, c_COMBK(tc_fun(_174496, tc_HOL_Obool), _174496, _174498))), 4404 ^ _81967 : [(4405 ^ _81967) ^ [] : [-(hBOOL(hAPP(hAPP(c_member(_174496), 4403 ^ [_174496, _174498, _174500]), _174498)))], (4407 ^ _81967) ^ [] : [hBOOL(hAPP(hAPP(c_member(tc_prod(_174496, _174496)), hAPP(hAPP(c_Product__Type_OPair(_174496, _174496), 4403 ^ [_174496, _174498, _174500]), 4403 ^ [_174496, _174498, _174500])), _174500))]]], (4411 ^ _81967) ^ [_174821, _174823, _174825] : [c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_174821, _174821), tc_HOL_Obool), _174823, c_Product__Type_OSigma(_174821, _174821, _174825, c_COMBK(tc_fun(_174821, tc_HOL_Obool), _174821, _174825))), 4417 ^ _81967 : [(4418 ^ _81967) ^ [] : [-(hBOOL(hAPP(hAPP(c_member(_174821), 4416 ^ [_174821, _174823, _174825]), _174825)))], (4420 ^ _81967) ^ [] : [hBOOL(hAPP(hAPP(c_member(tc_prod(_174821, _174821)), hAPP(hAPP(c_Product__Type_OPair(_174821, _174821), 4416 ^ [_174821, _174823, _174825]), 4416 ^ [_174821, _174823, _174825])), _174823))]], -(c_Relation_Orefl__on(_174821, _174825, _174823))], (4424 ^ _81967) ^ [_175143, _175145, _175147, _175149, _175151, _175153] : [-(hBOOL(hAPP(hAPP(c_member(_175143), _175145), _175147))), hBOOL(hAPP(hAPP(c_member(tc_fun(_175143, _175149)), _175151), c_FuncSet_Oextensional__funcset(_175143, _175149, c_Set_Oinsert(_175143, _175145, _175147), _175153))), -(hBOOL(hAPP(hAPP(c_member(tc_fun(_175143, _175149)), c_Fun_Ofun__upd(_175143, _175149, _175151, _175145, c_HOL_Oundefined(_175149))), c_FuncSet_Oextensional__funcset(_175143, _175149, _175147, _175153))))], (4434 ^ _81967) ^ [_175377, _175379, _175381, _175383, _175385] : [hBOOL(hAPP(hAPP(c_member(tc_prod(_175377, _175379)), _175381), c_Product__Type_OSigma(_175377, _175379, _175383, _175385))), 4438 ^ _81967 : [(4439 ^ _81967) ^ [] : [-(hBOOL(hAPP(hAPP(c_member(_175377), 4437 ^ [_175377, _175379, _175381, _175383, _175385]), _175383)))], (4442 ^ _81967) ^ [] : [-(hBOOL(hAPP(hAPP(c_member(_175379), 4440 ^ [_175377, _175379, _175381, _175383, _175385]), hAPP(_175385, 4437 ^ [_175377, _175379, _175381, _175383, _175385]))))], (4444 ^ _81967) ^ [] : [-(_175381 = hAPP(hAPP(c_Product__Type_OPair(_175377, _175379), 4437 ^ [_175377, _175379, _175381, _175383, _175385]), 4440 ^ [_175377, _175379, _175381, _175383, _175385]))]]], (4446 ^ _81967) ^ [_175671, _175673, _175675, _175677, _175679, _175681, _175683] : [hBOOL(hAPP(hAPP(c_member(_175671), _175673), _175675)), hBOOL(hAPP(hAPP(c_member(tc_fun(_175677, _175671)), _175679), c_FuncSet_Oextensional__funcset(_175677, _175671, _175681, _175675))), -(hBOOL(hAPP(hAPP(c_member(tc_fun(_175677, _175671)), c_Fun_Ofun__upd(_175677, _175671, _175679, _175683, _175673)), c_FuncSet_Oextensional__funcset(_175677, _175671, c_Set_Oinsert(_175677, _175683, _175681), _175675))))], (4456 ^ _81967) ^ [_175914, _175916, _175918, _175920] : [-(c_Fun_Ofun__upd(_175914, _175916, _175918, _175920, hAPP(_175918, _175920)) = _175918)], (4458 ^ _81967) ^ [_175952, _175954, _175956, _175958, _175960, _175962] : [c_Orderings_Oord__class_Oless__eq(tc_fun(_175952, tc_HOL_Obool), _175954, _175956), 4464 ^ _81967 : [(4465 ^ _81967) ^ [] : [-(hBOOL(hAPP(hAPP(c_member(_175952), 4463 ^ [_175952, _175954, _175956, _175958, _175960, _175962]), _175954)))], (4467 ^ _81967) ^ [] : [c_Orderings_Oord__class_Oless__eq(tc_fun(_175958, tc_HOL_Obool), hAPP(_175960, 4463 ^ [_175952, _175954, _175956, _175958, _175960, _175962]), hAPP(_175962, 4463 ^ [_175952, _175954, _175956, _175958, _175960, _175962]))]], -(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_175952, _175958), tc_HOL_Obool), c_Product__Type_OSigma(_175952, _175958, _175954, _175960), c_Product__Type_OSigma(_175952, _175958, _175956, _175962)))], (4471 ^ _81967) ^ [_176306, _176308, _176310, _176312, _176314, _176316] : [_176306 = _176308, -(hAPP(c_Fun_Ofun__upd(_176310, _176312, _176314, _176308, _176316), _176306) = _176316)], (4477 ^ _81967) ^ [_176403, _176405, _176407, _176409, _176411, _176413] : [-(_176403 = _176405), -(hAPP(c_Fun_Ofun__upd(_176407, _176409, _176411, _176405, _176413), _176403) = hAPP(_176411, _176403))], (4483 ^ _81967) ^ [_176461, _176463, _176465, _176467, _176469] : [hAPP(_176461, _176463) = _176465, -(c_Fun_Ofun__upd(_176467, _176469, _176461, _176463, _176465) = _176461)], (4489 ^ _81967) ^ [_176558, _176560, _176562, _176564, _176566, _176568] : [-(_176558 = _176560), -(hAPP(c_Fun_Ofun__upd(_176562, _176564, _176566, _176560, _176568), _176558) = hAPP(_176566, _176558))], (4495 ^ _81967) ^ [_176610, _176612, _176614, _176616, _176618, _176620, _176622] : [-(_176610 = _176612), -(c_Fun_Ofun__upd(_176614, _176616, c_Fun_Ofun__upd(_176614, _176616, _176618, _176610, _176620), _176612, _176622) = c_Fun_Ofun__upd(_176614, _176616, c_Fun_Ofun__upd(_176614, _176616, _176618, _176612, _176622), _176610, _176620))], (4501 ^ _81967) ^ [_176701, _176703, _176705, _176707, _176709, _176711] : [_176701 = _176703, -(hAPP(c_Fun_Ofun__upd(_176705, _176707, _176709, _176703, _176711), _176701) = _176711)], (4507 ^ _81967) ^ [_176798, _176800, _176802, _176804, _176806, _176808] : [-(_176798 = _176800), -(hAPP(c_Fun_Ofun__upd(_176802, _176804, _176806, _176800, _176808), _176798) = hAPP(_176806, _176798))], (4513 ^ _81967) ^ [_176856, _176858, _176860, _176862, _176864] : [-(hAPP(c_Fun_Ofun__upd(_176856, _176858, _176860, _176862, _176864), _176862) = _176864)], (4515 ^ _81967) ^ [_176896, _176898, _176900, _176902, _176904, _176906] : [-(c_Fun_Ofun__upd(_176896, _176898, c_Fun_Ofun__upd(_176896, _176898, _176900, _176902, _176904), _176902, _176906) = c_Fun_Ofun__upd(_176896, _176898, _176900, _176902, _176906))], (4517 ^ _81967) ^ [_176971, _176973, _176975, _176977, _176979] : [c_Fun_Ofun__upd(_176971, _176973, _176975, _176977, _176979) = _176975, -(hAPP(_176975, _176977) = _176979)], (4523 ^ _81967) ^ [_177068, _177070, _177072, _177074, _177076] : [hAPP(_177072, _177074) = _177076, -(c_Fun_Ofun__upd(_177068, _177070, _177072, _177074, _177076) = _177072)], (4529 ^ _81967) ^ [_177171, _177173, _177175, _177177, _177179, _177181] : [-(c_Product__Type_OSigma(_177171, _177173, c_Set_Oinsert(_177171, _177175, _177177), c_COMBK(tc_fun(_177173, tc_HOL_Obool), _177171, c_Set_Oinsert(_177173, _177179, _177181))) = c_Set_Oinsert(tc_prod(_177171, _177173), hAPP(hAPP(c_Product__Type_OPair(_177171, _177173), _177175), _177179), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_177171, _177173), tc_HOL_Obool)), c_Product__Type_OSigma(_177171, _177173, _177177, c_COMBK(tc_fun(_177173, tc_HOL_Obool), _177171, c_Set_Oinsert(_177173, _177179, _177181)))), c_Product__Type_OSigma(_177171, _177173, c_Set_Oinsert(_177171, _177175, _177177), c_COMBK(tc_fun(_177173, tc_HOL_Obool), _177171, _177181)))))], (4531 ^ _81967) ^ [_177286, _177288] : [-(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_177286, _177286), tc_HOL_Obool), c_Transitive__Closure_Otrancl(_177286, _177288), c_Product__Type_OSigma(_177286, _177286, c_Relation_OField(_177286, _177288), c_COMBK(tc_fun(_177286, tc_HOL_Obool), _177286, c_Relation_OField(_177286, _177288)))))], (4533 ^ _81967) ^ [_177339, _177341, _177343] : [-(c_Wellfounded_Omlex__prod(_177339, _177341, _177343) = c_Relation_Oinv__image(tc_prod(tc_Nat_Onat, _177339), _177339, c_Wellfounded_Olex__prod(tc_Nat_Onat, _177339, c_Wellfounded_Oless__than, _177343), hAPP(hAPP(c_COMBS(_177339, _177339, tc_prod(tc_Nat_Onat, _177339)), hAPP(c_COMBB(tc_Nat_Onat, tc_fun(_177339, tc_prod(tc_Nat_Onat, _177339)), _177339, c_Product__Type_OPair(tc_Nat_Onat, _177339)), _177341)), c_COMBI(_177339))))], (4535 ^ _81967) ^ [_177415, _177417, _177419, _177421] : [4536 ^ _81967 : [(4537 ^ _81967) ^ [] : [hBOOL(hAPP(_177415, _177417))], (4539 ^ _81967) ^ [] : [hBOOL(hAPP(_177419, _177417))]], -(hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_177421, tc_HOL_Obool)), _177419), _177415), _177417)))], (4543 ^ _81967) ^ [_177570, _177572, _177574, _177576] : [hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_177570, tc_HOL_Obool)), _177572), _177574), _177576)), -(hBOOL(hAPP(_177572, _177576))), -(hBOOL(hAPP(_177574, _177576)))], (4553 ^ _81967) ^ [_177700, _177702, _177704, _177706] : [hBOOL(hAPP(hAPP(c_member(_177700), _177702), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_177700, tc_HOL_Obool)), _177704), _177706))), -(hBOOL(hAPP(hAPP(c_member(_177700), _177702), _177704))), -(hBOOL(hAPP(hAPP(c_member(_177700), _177702), _177706)))], (4563 ^ _81967) ^ [_177860, _177862, _177864, _177866] : [4564 ^ _81967 : [(4565 ^ _81967) ^ [] : [hBOOL(hAPP(hAPP(c_member(_177860), _177862), _177864))], (4567 ^ _81967) ^ [] : [hBOOL(hAPP(hAPP(c_member(_177860), _177862), _177866))]], -(hBOOL(hAPP(hAPP(c_member(_177860), _177862), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_177860, tc_HOL_Obool)), _177866), _177864))))], (4571 ^ _81967) ^ [_178045, _178047, _178049, _178051, _178053] : [-(c_Product__Type_OSigma(_178045, _178047, _178049, hAPP(hAPP(c_COMBS(_178045, tc_fun(_178047, tc_HOL_Obool), tc_fun(_178047, tc_HOL_Obool)), hAPP(c_COMBB(tc_fun(_178047, tc_HOL_Obool), tc_fun(tc_fun(_178047, tc_HOL_Obool), tc_fun(_178047, tc_HOL_Obool)), _178045, c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_178047, tc_HOL_Obool))), _178051)), _178053)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_178045, _178047), tc_HOL_Obool)), c_Product__Type_OSigma(_178045, _178047, _178049, _178051)), c_Product__Type_OSigma(_178045, _178047, _178049, _178053)))], (4573 ^ _81967) ^ [_178146, _178148, _178150, _178152, _178154] : [-(c_Product__Type_OSigma(_178146, _178148, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_178146, tc_HOL_Obool)), _178150), _178152), c_COMBK(tc_fun(_178148, tc_HOL_Obool), _178146, _178154)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_178146, _178148), tc_HOL_Obool)), c_Product__Type_OSigma(_178146, _178148, _178150, c_COMBK(tc_fun(_178148, tc_HOL_Obool), _178146, _178154))), c_Product__Type_OSigma(_178146, _178148, _178152, c_COMBK(tc_fun(_178148, tc_HOL_Obool), _178146, _178154))))], (4575 ^ _81967) ^ [_178238, _178240, _178242, _178244, _178246] : [-(c_Product__Type_OSigma(_178238, _178240, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_178238, tc_HOL_Obool)), _178242), _178244), _178246) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_178238, _178240), tc_HOL_Obool)), c_Product__Type_OSigma(_178238, _178240, _178242, _178246)), c_Product__Type_OSigma(_178238, _178240, _178244, _178246)))], (4577 ^ _81967) ^ [_178309, _178311, _178313] : [-(c_Transitive__Closure_Ortrancl(_178309, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_178309, _178309), tc_HOL_Obool)), c_Transitive__Closure_Ortrancl(_178309, _178311)), c_Transitive__Closure_Ortrancl(_178309, _178313))) = c_Transitive__Closure_Ortrancl(_178309, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_178309, _178309), tc_HOL_Obool)), _178311), _178313)))], (4579 ^ _81967) ^ [_178376, _178378] : [-(c_Relation_OField(_178376, _178378) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_178376, tc_HOL_Obool)), c_Relation_ODomain(_178376, _178376, _178378)), c_Relation_ORange(_178376, _178376, _178378)))], (4581 ^ _81967) ^ [_178444, _178446, _178448, _178450] : [hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_178444, tc_HOL_Obool)), hAPP(hAPP(c_COMBC(_178444, tc_fun(_178444, tc_HOL_Obool), tc_HOL_Obool), c_member(_178444)), _178446)), hAPP(hAPP(c_COMBC(_178444, tc_fun(_178444, tc_HOL_Obool), tc_HOL_Obool), c_member(_178444)), _178448)), _178450)), -(hBOOL(hAPP(hAPP(c_member(_178444), _178450), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_178444, tc_HOL_Obool)), _178446), _178448))))], (4587 ^ _81967) ^ [_178643, _178645, _178647, _178649] : [hBOOL(hAPP(hAPP(c_member(_178643), _178649), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_178643, tc_HOL_Obool)), _178645), _178647))), -(hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_178643, tc_HOL_Obool)), hAPP(hAPP(c_COMBC(_178643, tc_fun(_178643, tc_HOL_Obool), tc_HOL_Obool), c_member(_178643)), _178645)), hAPP(hAPP(c_COMBC(_178643, tc_fun(_178643, tc_HOL_Obool), tc_HOL_Obool), c_member(_178643)), _178647)), _178649)))], (4593 ^ _81967) ^ [_178848, _178850, _178852, _178854, _178856] : [c_Relation_Orefl__on(_178848, _178850, _178852), c_Relation_Orefl__on(_178848, _178854, _178856), -(c_Relation_Orefl__on(_178848, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_178848, tc_HOL_Obool)), _178850), _178854), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_178848, _178848), tc_HOL_Obool)), _178852), _178856)))], (4603 ^ _81967) ^ [_179045, _179047, _179049, _179051] : [-(c_Relation_ORange(_179045, _179047, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_179045, _179047), tc_HOL_Obool)), _179049), _179051)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_179047, tc_HOL_Obool)), c_Relation_ORange(_179045, _179047, _179049)), c_Relation_ORange(_179045, _179047, _179051)))], (4624 ^ _81967) ^ [_179554, _179556, _179558, _179560] : [4628 ^ _81967 : [(4629 ^ _81967) ^ [] : [-(hBOOL(hAPP(hAPP(c_member(_179554), 4627 ^ [_179554, _179556, _179558, _179560]), _179556)))], (4631 ^ _81967) ^ [] : [hBOOL(hAPP(_179560, 4627 ^ [_179554, _179556, _179558, _179560]))]], 4633 ^ _81967 : [(4634 ^ _81967) ^ [] : [-(hBOOL(hAPP(hAPP(c_member(_179554), 4632 ^ [_179554, _179556, _179558, _179560]), _179558)))], (4636 ^ _81967) ^ [] : [hBOOL(hAPP(_179560, 4632 ^ [_179554, _179556, _179558, _179560]))]], 4637 ^ _81967 : [(4638 ^ _81967) ^ [_179887] : [hBOOL(hAPP(hAPP(c_member(_179554), _179887), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_179554, tc_HOL_Obool)), _179556), _179558))), -(hBOOL(hAPP(_179560, _179887)))]]], (4605 ^ _81967) ^ [_179132, _179134, _179136, _179138] : [4607 ^ _81967 : [(4608 ^ _81967) ^ [] : [-(hBOOL(hAPP(hAPP(c_member(_179132), 4606 ^ [_179132, _179134, _179136, _179138]), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_179132, tc_HOL_Obool)), _179134), _179136))))], (4610 ^ _81967) ^ [] : [hBOOL(hAPP(_179138, 4606 ^ [_179132, _179134, _179136, _179138]))]], 4611 ^ _81967 : [(4612 ^ _81967) ^ [_179352] : [hBOOL(hAPP(hAPP(c_member(_179132), _179352), _179134)), -(hBOOL(hAPP(_179138, _179352)))], (4618 ^ _81967) ^ [_179449] : [hBOOL(hAPP(hAPP(c_member(_179132), _179449), _179136)), -(hBOOL(hAPP(_179138, _179449)))]]], (4644 ^ _81967) ^ [_180039, _180041, _180043, _180045] : [4645 ^ _81967 : [(4646 ^ _81967) ^ [_180149] : [hBOOL(hAPP(hAPP(c_member(_180039), _180149), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_180039, tc_HOL_Obool)), _180041), _180043))), hBOOL(hAPP(_180045, _180149))]], 4654 ^ _81967 : [(4655 ^ _81967) ^ [] : [-(hBOOL(hAPP(hAPP(c_member(_180039), 4653 ^ [_180039, _180041, _180043, _180045]), _180041)))], (4657 ^ _81967) ^ [] : [-(hBOOL(hAPP(_180045, 4653 ^ [_180039, _180041, _180043, _180045])))]], 4659 ^ _81967 : [(4660 ^ _81967) ^ [] : [-(hBOOL(hAPP(hAPP(c_member(_180039), 4658 ^ [_180039, _180041, _180043, _180045]), _180043)))], (4662 ^ _81967) ^ [] : [-(hBOOL(hAPP(_180045, 4658 ^ [_180039, _180041, _180043, _180045])))]]], (4664 ^ _81967) ^ [_180438, _180440, _180442, _180444] : [4678 ^ _81967 : [(4679 ^ _81967) ^ [] : [-(hBOOL(hAPP(hAPP(c_member(_180438), 4677 ^ [_180438, _180440, _180442, _180444]), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_180438, tc_HOL_Obool)), _180440), _180442))))], (4681 ^ _81967) ^ [] : [-(hBOOL(hAPP(_180444, 4677 ^ [_180438, _180440, _180442, _180444])))]], 4665 ^ _81967 : [(4666 ^ _81967) ^ [_180551] : [hBOOL(hAPP(hAPP(c_member(_180438), _180551), _180440)), hBOOL(hAPP(_180444, _180551))], (4672 ^ _81967) ^ [_180647] : [hBOOL(hAPP(hAPP(c_member(_180438), _180647), _180442)), hBOOL(hAPP(_180444, _180647))]]], (4683 ^ _81967) ^ [_180841, _180843, _180845, _180847] : [-(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_180841, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_180841, tc_HOL_Obool)), _180843), _180845)), _180847) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_180841, tc_HOL_Obool)), _180843), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_180841, tc_HOL_Obool)), _180845), _180847)))], (4685 ^ _81967) ^ [_180914, _180916, _180918, _180920] : [-(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_180914, tc_HOL_Obool)), _180916), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_180914, tc_HOL_Obool)), _180918), _180920)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_180914, tc_HOL_Obool)), _180918), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_180914, tc_HOL_Obool)), _180916), _180920)))], (4687 ^ _81967) ^ [_180987, _180989, _180991] : [-(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_180987, tc_HOL_Obool)), _180989), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_180987, tc_HOL_Obool)), _180989), _180991)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_180987, tc_HOL_Obool)), _180989), _180991))], (4689 ^ _81967) ^ [_181047, _181049, _181051] : [-(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_181047, tc_HOL_Obool)), _181049), _181051) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_181047, tc_HOL_Obool)), _181051), _181049))], (4691 ^ _81967) ^ [_181096, _181098] : [-(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_181096, tc_HOL_Obool)), _181098), _181098) = _181098)], (4693 ^ _81967) ^ [_181132, _181134, _181136, _181138] : [hBOOL(hAPP(_181132, _181134)), -(hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_181136, tc_HOL_Obool)), _181138), _181132), _181134)))], (4699 ^ _81967) ^ [_181243, _181245, _181247, _181249] : [hBOOL(hAPP(_181243, _181245)), -(hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_181247, tc_HOL_Obool)), _181243), _181249), _181245)))], (4705 ^ _81967) ^ [_181354, _181356, _181358, _181360, _181362] : [class_Lattices_Olattice(_181354), -(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_181356, _181354)), _181358), _181360), _181362) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_181354), hAPP(_181358, _181362)), hAPP(_181360, _181362)))], (4711 ^ _81967) ^ [_181491, _181493, _181495, _181497, _181499] : [class_Lattices_Olattice(_181491), -(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_181493, _181491)), _181495), _181497), _181499) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_181491), hAPP(_181495, _181499)), hAPP(_181497, _181499)))], (4717 ^ _81967) ^ [_181628, _181630, _181632, _181634] : [class_Lattices_Osemilattice__sup(_181628), -(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_181628), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_181628), _181630), _181632)), _181634) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_181628), _181630), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_181628), _181632), _181634)))], (4723 ^ _81967) ^ [_181771, _181773, _181775, _181777] : [class_Lattices_Olattice(_181771), -(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_181771), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_181771), _181773), _181775)), _181777) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_181771), _181773), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_181771), _181775), _181777)))], (4729 ^ _81967) ^ [_181914, _181916, _181918, _181920] : [class_Lattices_Osemilattice__sup(_181914), -(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_181914), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_181914), _181916), _181918)), _181920) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_181914), _181916), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_181914), _181918), _181920)))], (4735 ^ _81967) ^ [_182057, _182059, _182061, _182063] : [class_Lattices_Osemilattice__sup(_182057), -(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_182057), _182059), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_182057), _182061), _182063)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_182057), _182061), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_182057), _182059), _182063)))], (4741 ^ _81967) ^ [_182200, _182202, _182204, _182206] : [class_Lattices_Olattice(_182200), -(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_182200), _182202), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_182200), _182204), _182206)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_182200), _182204), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_182200), _182202), _182206)))], (4747 ^ _81967) ^ [_182343, _182345, _182347, _182349] : [class_Lattices_Osemilattice__sup(_182343), -(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_182343), _182345), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_182343), _182347), _182349)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_182343), _182347), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_182343), _182345), _182349)))], (4753 ^ _81967) ^ [_182486, _182488, _182490] : [class_Lattices_Osemilattice__sup(_182486), -(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_182486), _182488), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_182486), _182488), _182490)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_182486), _182488), _182490))], (4759 ^ _81967) ^ [_182611, _182613, _182615] : [class_Lattices_Olattice(_182611), -(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_182611), _182613), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_182611), _182613), _182615)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_182611), _182613), _182615))], (4765 ^ _81967) ^ [_182736, _182738, _182740] : [class_Lattices_Osemilattice__sup(_182736), -(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_182736), _182738), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_182736), _182738), _182740)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_182736), _182738), _182740))], (4771 ^ _81967) ^ [_182861, _182863, _182865] : [class_Lattices_Osemilattice__sup(_182861), -(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_182861), _182863), _182865) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_182861), _182865), _182863))], (4777 ^ _81967) ^ [_182970, _182972, _182974] : [class_Lattices_Olattice(_182970), -(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_182970), _182972), _182974) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_182970), _182974), _182972))], (4783 ^ _81967) ^ [_183079, _183081, _183083] : [class_Lattices_Osemilattice__sup(_183079), -(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_183079), _183081), _183083) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_183079), _183083), _183081))], (4789 ^ _81967) ^ [_183188, _183190] : [class_Lattices_Osemilattice__sup(_183188), -(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_183188), _183190), _183190) = _183190)], (4795 ^ _81967) ^ [_183279, _183281] : [class_Lattices_Osemilattice__sup(_183279), -(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_183279), _183281), _183281) = _183281)], (4801 ^ _81967) ^ [_183370, _183372, _183374] : [-(c_Relation_OField(_183370, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_183370, _183370), tc_HOL_Obool)), _183372), _183374)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_183370, tc_HOL_Obool)), c_Relation_OField(_183370, _183372)), c_Relation_OField(_183370, _183374)))], (4803 ^ _81967) ^ [_183431, _183433, _183435, _183437] : [-(c_Relation_ODomain(_183431, _183433, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_183431, _183433), tc_HOL_Obool)), _183435), _183437)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_183431, tc_HOL_Obool)), c_Relation_ODomain(_183431, _183433, _183435)), c_Relation_ODomain(_183431, _183433, _183437)))], (4815 ^ _81967) ^ [_183672, _183674, _183676, _183678] : [4816 ^ _81967 : [(4817 ^ _81967) ^ [] : [hBOOL(hAPP(hAPP(c_member(_183672), _183674), _183676))], (4819 ^ _81967) ^ [] : [hBOOL(hAPP(hAPP(c_member(_183672), _183674), _183678))]], -(hBOOL(hAPP(hAPP(c_member(_183672), _183674), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_183672, tc_HOL_Obool)), _183676), _183678))))], (4805 ^ _81967) ^ [_183518, _183520, _183522, _183524] : [hBOOL(hAPP(hAPP(c_member(_183518), _183520), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_183518, tc_HOL_Obool)), _183522), _183524))), -(hBOOL(hAPP(hAPP(c_member(_183518), _183520), _183522))), -(hBOOL(hAPP(hAPP(c_member(_183518), _183520), _183524)))], (4823 ^ _81967) ^ [_183857, _183859, _183861, _183863] : [hBOOL(hAPP(hAPP(c_member(_183857), _183859), _183861)), -(hBOOL(hAPP(hAPP(c_member(_183857), _183859), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_183857, tc_HOL_Obool)), _183861), _183863))))], (4829 ^ _81967) ^ [_183988, _183990, _183992, _183994] : [hBOOL(hAPP(hAPP(c_member(_183988), _183990), _183992)), -(hBOOL(hAPP(hAPP(c_member(_183988), _183990), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_183988, tc_HOL_Obool)), _183994), _183992))))], (4835 ^ _81967) ^ [_184119, _184121, _184123] : [class_Lattices_Olattice(_184119), -(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_184119), _184121), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_184119), _184121), _184123)) = _184121)], (4841 ^ _81967) ^ [_184228, _184230, _184232] : [class_Lattices_Olattice(_184228), -(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_184228), _184230), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_184228), _184230), _184232)) = _184230)], (4847 ^ _81967) ^ [_184337, _184339, _184341, _184343] : [class_Lattices_Odistrib__lattice(_184337), -(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_184337), _184339), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_184337), _184341), _184343)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_184337), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_184337), _184339), _184341)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_184337), _184339), _184343)))], (4853 ^ _81967) ^ [_184496, _184498, _184500, _184502] : [class_Lattices_Odistrib__lattice(_184496), -(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_184496), _184498), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_184496), _184500), _184502)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_184496), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_184496), _184498), _184500)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_184496), _184498), _184502)))], (4859 ^ _81967) ^ [_184655, _184657, _184659, _184661] : [class_Lattices_Odistrib__lattice(_184655), -(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_184655), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_184655), _184657), _184659)), _184661) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_184655), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_184655), _184657), _184661)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_184655), _184659), _184661)))], (4865 ^ _81967) ^ [_184814, _184816, _184818, _184820] : [class_Lattices_Odistrib__lattice(_184814), -(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_184814), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_184814), _184816), _184818)), _184820) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_184814), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_184814), _184816), _184820)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_184814), _184818), _184820)))], (4871 ^ _81967) ^ [_184973, _184975, _184977, _184979] : [-(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_184973, tc_HOL_Obool)), _184975), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_184973, tc_HOL_Obool)), _184977), _184979)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_184973, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_184973, tc_HOL_Obool)), _184975), _184977)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_184973, tc_HOL_Obool)), _184975), _184979)))], (4873 ^ _81967) ^ [_185057, _185059, _185061, _185063] : [-(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_185057, tc_HOL_Obool)), _185059), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_185057, tc_HOL_Obool)), _185061), _185063)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_185057, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_185057, tc_HOL_Obool)), _185059), _185061)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_185057, tc_HOL_Obool)), _185059), _185063)))], (4875 ^ _81967) ^ [_185141, _185143, _185145, _185147] : [-(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_185141, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_185141, tc_HOL_Obool)), _185143), _185145)), _185147) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_185141, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_185141, tc_HOL_Obool)), _185143), _185147)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_185141, tc_HOL_Obool)), _185145), _185147)))], (4877 ^ _81967) ^ [_185225, _185227, _185229, _185231] : [-(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_185225, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_185225, tc_HOL_Obool)), _185227), _185229)), _185231) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_185225, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_185225, tc_HOL_Obool)), _185227), _185231)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_185225, tc_HOL_Obool)), _185229), _185231)))], (4879 ^ _81967) ^ [_185309, _185311, _185313, _185315] : [-(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_185309, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_185309, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_185309, tc_HOL_Obool)), _185311), _185313)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_185309, tc_HOL_Obool)), _185313), _185315))), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_185309, tc_HOL_Obool)), _185315), _185311)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_185309, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_185309, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_185309, tc_HOL_Obool)), _185311), _185313)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_185309, tc_HOL_Obool)), _185313), _185315))), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_185309, tc_HOL_Obool)), _185315), _185311)))], (4881 ^ _81967) ^ [_185448, _185450, _185452] : [class_Lattices_Olattice(_185448), -(c_Orderings_Oord__class_Oless__eq(_185448, _185450, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_185448), _185450), _185452)))], (4887 ^ _81967) ^ [_185543, _185545, _185547] : [class_Lattices_Osemilattice__sup(_185543), -(c_Orderings_Oord__class_Oless__eq(_185543, _185545, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_185543), _185545), _185547)))], (4893 ^ _81967) ^ [_185638, _185640, _185642] : [class_Lattices_Olattice(_185638), -(c_Orderings_Oord__class_Oless__eq(_185638, _185640, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_185638), _185642), _185640)))], (4899 ^ _81967) ^ [_185733, _185735, _185737] : [class_Lattices_Osemilattice__sup(_185733), -(c_Orderings_Oord__class_Oless__eq(_185733, _185735, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_185733), _185737), _185735)))], (4905 ^ _81967) ^ [_185828, _185830, _185832] : [class_Lattices_Osemilattice__sup(_185828), 4908 ^ _81967 : [(4909 ^ _81967) ^ [] : [c_Orderings_Oord__class_Oless__eq(_185828, _185830, _185832), -(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_185828), _185830), _185832) = _185832)], (4915 ^ _81967) ^ [] : [hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_185828), _185830), _185832) = _185832, -(c_Orderings_Oord__class_Oless__eq(_185828, _185830, _185832))]]], (4921 ^ _81967) ^ [_186066, _186068, _186070, _186072] : [class_Lattices_Osemilattice__sup(_186066), 4924 ^ _81967 : [(4925 ^ _81967) ^ [] : [c_Orderings_Oord__class_Oless__eq(_186066, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_186066), _186068), _186070), _186072), 4928 ^ _81967 : [(4929 ^ _81967) ^ [] : [-(c_Orderings_Oord__class_Oless__eq(_186066, _186068, _186072))], (4931 ^ _81967) ^ [] : [-(c_Orderings_Oord__class_Oless__eq(_186066, _186070, _186072))]]], (4933 ^ _81967) ^ [] : [-(c_Orderings_Oord__class_Oless__eq(_186066, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_186066), _186068), _186070), _186072)), c_Orderings_Oord__class_Oless__eq(_186066, _186068, _186072), c_Orderings_Oord__class_Oless__eq(_186066, _186070, _186072)]]], (4943 ^ _81967) ^ [_186392, _186394, _186396, _186398] : [class_Lattices_Osemilattice__sup(_186392), c_Orderings_Oord__class_Oless__eq(_186392, _186394, _186396), -(c_Orderings_Oord__class_Oless__eq(_186392, _186394, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_186392), _186396), _186398)))], (4953 ^ _81967) ^ [_186547, _186549, _186551, _186553] : [class_Lattices_Osemilattice__sup(_186547), c_Orderings_Oord__class_Oless__eq(_186547, _186549, _186551), -(c_Orderings_Oord__class_Oless__eq(_186547, _186549, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_186547), _186553), _186551)))], (4963 ^ _81967) ^ [_186702, _186704, _186706] : [class_Lattices_Osemilattice__sup(_186702), c_Orderings_Oord__class_Oless__eq(_186702, _186704, _186706), -(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_186702), _186704), _186706) = _186706)], (4973 ^ _81967) ^ [_186851, _186853, _186855] : [class_Lattices_Osemilattice__sup(_186851), c_Orderings_Oord__class_Oless__eq(_186851, _186853, _186855), -(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_186851), _186855), _186853) = _186855)], (4983 ^ _81967) ^ [_187000, _187002, _187004, _187006] : [class_Lattices_Osemilattice__sup(_187000), c_Orderings_Oord__class_Oless__eq(_187000, _187002, _187004), c_Orderings_Oord__class_Oless__eq(_187000, _187006, _187004), -(c_Orderings_Oord__class_Oless__eq(_187000, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_187000), _187002), _187006), _187004))], (4997 ^ _81967) ^ [_187213, _187215, _187217, _187219] : [class_Lattices_Osemilattice__sup(_187213), c_Orderings_Oord__class_Oless__eq(_187213, _187215, _187217), c_Orderings_Oord__class_Oless__eq(_187213, _187219, _187217), -(c_Orderings_Oord__class_Oless__eq(_187213, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_187213), _187215), _187219), _187217))], (5011 ^ _81967) ^ [_187426, _187428, _187430, _187432, _187434] : [class_Lattices_Osemilattice__sup(_187426), c_Orderings_Oord__class_Oless__eq(_187426, _187428, _187430), c_Orderings_Oord__class_Oless__eq(_187426, _187432, _187434), -(c_Orderings_Oord__class_Oless__eq(_187426, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_187426), _187428), _187432), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_187426), _187430), _187434)))], (5025 ^ _81967) ^ [_187661, _187663, _187665, _187667] : [class_Lattices_Osemilattice__sup(_187661), c_Orderings_Oord__class_Oless__eq(_187661, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_187661), _187663), _187665), _187667), 5032 ^ _81967 : [(5033 ^ _81967) ^ [] : [-(c_Orderings_Oord__class_Oless__eq(_187661, _187663, _187667))], (5035 ^ _81967) ^ [] : [-(c_Orderings_Oord__class_Oless__eq(_187661, _187665, _187667))]]], (5037 ^ _81967) ^ [_187848, _187850, _187852] : [-(c_Orderings_Oord__class_Oless__eq(tc_fun(_187848, tc_HOL_Obool), _187850, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_187848, tc_HOL_Obool)), _187850), _187852)))], (5039 ^ _81967) ^ [_187890, _187892, _187894] : [-(c_Orderings_Oord__class_Oless__eq(tc_fun(_187890, tc_HOL_Obool), _187892, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_187890, tc_HOL_Obool)), _187894), _187892)))], (5041 ^ _81967) ^ [_187950, _187952, _187954] : [c_Orderings_Oord__class_Oless__eq(tc_fun(_187950, tc_HOL_Obool), _187952, _187954), -(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_187950, tc_HOL_Obool)), _187952), _187954) = _187954)], (5047 ^ _81967) ^ [_188055, _188057, _188059] : [hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_188055, tc_HOL_Obool)), _188057), _188059) = _188059, -(c_Orderings_Oord__class_Oless__eq(tc_fun(_188055, tc_HOL_Obool), _188057, _188059))], (5053 ^ _81967) ^ [_188166, _188168, _188170] : [c_Orderings_Oord__class_Oless__eq(tc_fun(_188166, tc_HOL_Obool), _188168, _188170), -(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_188166, tc_HOL_Obool)), _188168), _188170) = _188170)], (5059 ^ _81967) ^ [_188275, _188277, _188279] : [c_Orderings_Oord__class_Oless__eq(tc_fun(_188275, tc_HOL_Obool), _188277, _188279), -(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_188275, tc_HOL_Obool)), _188279), _188277) = _188279)], (5065 ^ _81967) ^ [_188384, _188386, _188388, _188390] : [c_Orderings_Oord__class_Oless__eq(tc_fun(_188384, tc_HOL_Obool), _188386, _188388), c_Orderings_Oord__class_Oless__eq(tc_fun(_188384, tc_HOL_Obool), _188390, _188388), -(c_Orderings_Oord__class_Oless__eq(tc_fun(_188384, tc_HOL_Obool), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_188384, tc_HOL_Obool)), _188386), _188390), _188388))], (5075 ^ _81967) ^ [_188567, _188569, _188571, _188573, _188575] : [c_Orderings_Oord__class_Oless__eq(tc_fun(_188567, tc_HOL_Obool), _188569, _188571), c_Orderings_Oord__class_Oless__eq(tc_fun(_188567, tc_HOL_Obool), _188573, _188575), -(c_Orderings_Oord__class_Oless__eq(tc_fun(_188567, tc_HOL_Obool), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_188567, tc_HOL_Obool)), _188569), _188573), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_188567, tc_HOL_Obool)), _188571), _188575)))], (5085 ^ _81967) ^ [_188776, _188778, _188780, _188782] : [class_Lattices_Olattice(_188776), -(c_Orderings_Oord__class_Oless__eq(_188776, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_188776), _188778), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_188776), _188780), _188782)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_188776), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_188776), _188778), _188780)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_188776), _188778), _188782))))], (5091 ^ _81967) ^ [_188937, _188939, _188941, _188943] : [class_Lattices_Olattice(_188937), -(c_Orderings_Oord__class_Oless__eq(_188937, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_188937), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_188937), _188939), _188941)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_188937), _188939), _188943)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_188937), _188939), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_188937), _188941), _188943))))], (5097 ^ _81967) ^ [_189098, _189100, _189102, _189104] : [-(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_189098, tc_HOL_Obool)), c_Set_Oinsert(_189098, _189100, _189102)), _189104) = c_Set_Oinsert(_189098, _189100, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_189098, tc_HOL_Obool)), _189102), _189104)))], (5099 ^ _81967) ^ [_189157, _189159, _189161, _189163] : [-(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_189157, tc_HOL_Obool)), _189159), c_Set_Oinsert(_189157, _189161, _189163)) = c_Set_Oinsert(_189157, _189161, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_189157, tc_HOL_Obool)), _189159), _189163)))], (5101 ^ _81967) ^ [_189237, _189239, _189241, _189243] : [hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_189237, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_189237, tc_HOL_Obool)), _189239), _189241)), _189243) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_189237, tc_HOL_Obool)), _189239), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_189237, tc_HOL_Obool)), _189241), _189243)), -(c_Orderings_Oord__class_Oless__eq(tc_fun(_189237, tc_HOL_Obool), _189243, _189239))], (5107 ^ _81967) ^ [_189410, _189412, _189414, _189416] : [c_Orderings_Oord__class_Oless__eq(tc_fun(_189410, tc_HOL_Obool), _189416, _189412), -(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_189410, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_189410, tc_HOL_Obool)), _189412), _189414)), _189416) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_189410, tc_HOL_Obool)), _189412), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_189410, tc_HOL_Obool)), _189414), _189416)))], (5113 ^ _81967) ^ [_189589, _189591, _189593, _189595] : [5114 ^ _81967 : [(5115 ^ _81967) ^ [] : [hBOOL(hAPP(hAPP(c_member(tc_prod(_189589, _189589)), _189591), c_Transitive__Closure_Ortrancl(_189589, _189593)))], (5117 ^ _81967) ^ [] : [hBOOL(hAPP(hAPP(c_member(tc_prod(_189589, _189589)), _189591), c_Transitive__Closure_Ortrancl(_189589, _189595)))]], -(hBOOL(hAPP(hAPP(c_member(tc_prod(_189589, _189589)), _189591), c_Transitive__Closure_Ortrancl(_189589, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_189589, _189589), tc_HOL_Obool)), _189593), _189595)))))], (5121 ^ _81967) ^ [_189814, _189816, _189818] : [-(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_189814, _189814), tc_HOL_Obool), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_189814, _189814), tc_HOL_Obool)), c_Transitive__Closure_Ortrancl(_189814, _189816)), c_Transitive__Closure_Ortrancl(_189814, _189818)), c_Transitive__Closure_Ortrancl(_189814, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_189814, _189814), tc_HOL_Obool)), _189816), _189818))))], (5123 ^ _81967) ^ [_189885, _189887, _189889] : [c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_189885, _189885), tc_HOL_Obool), _189887, _189889), -(c_Orderings_Oord__class_Oless__eq(tc_fun(_189885, tc_HOL_Obool), c_Relation_OField(_189885, _189887), c_Relation_OField(_189885, _189889)))], (5129 ^ _81967) ^ [_189998, _190000, _190002, _190004] : [-(c_Relation_OField(_189998, c_Set_Oinsert(tc_prod(_189998, _189998), hAPP(hAPP(c_Product__Type_OPair(_189998, _189998), _190000), _190002), _190004)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_189998, tc_HOL_Obool)), c_Set_Oinsert(_189998, _190000, c_Set_Oinsert(_189998, _190002, c_Orderings_Obot__class_Obot(tc_fun(_189998, tc_HOL_Obool))))), c_Relation_OField(_189998, _190004)))], (5131 ^ _81967) ^ [_190073, _190075, _190077, _190079, _190081] : [hBOOL(hAPP(hAPP(c_member(tc_prod(_190073, _190073)), hAPP(hAPP(c_Product__Type_OPair(_190073, _190073), _190075), _190077)), c_Transitive__Closure_Ortrancl(_190073, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_190073, _190073), tc_HOL_Obool)), _190079), _190081)))), 5137 ^ _81967 : [(5138 ^ _81967) ^ [] : [-(hBOOL(hAPP(hAPP(c_member(tc_prod(_190073, _190073)), hAPP(hAPP(c_Product__Type_OPair(_190073, _190073), _190075), 5136 ^ [_190073, _190075, _190077, _190079, _190081])), c_Transitive__Closure_Ortrancl(_190073, _190079))))], (5141 ^ _81967) ^ [] : [-(hBOOL(hAPP(hAPP(c_member(tc_prod(_190073, _190073)), hAPP(hAPP(c_Product__Type_OPair(_190073, _190073), 5136 ^ [_190073, _190075, _190077, _190079, _190081]), 5139 ^ [_190073, _190075, _190077, _190079, _190081])), _190081)))], (5143 ^ _81967) ^ [] : [5136 ^ [_190073, _190075, _190077, _190079, _190081] = 5139 ^ [_190073, _190075, _190077, _190079, _190081]]], -(hBOOL(hAPP(hAPP(c_member(tc_prod(_190073, _190073)), hAPP(hAPP(c_Product__Type_OPair(_190073, _190073), _190075), _190077)), c_Transitive__Closure_Ortrancl(_190073, _190079))))], (5147 ^ _81967) ^ [_190632, _190634, _190636, _190638, _190640] : [hBOOL(hAPP(hAPP(c_member(tc_prod(_190632, _190632)), hAPP(hAPP(c_Product__Type_OPair(_190632, _190632), _190634), _190636)), c_Transitive__Closure_Ortrancl(_190632, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_190632, _190632), tc_HOL_Obool)), _190638), _190640)))), 5153 ^ _81967 : [(5154 ^ _81967) ^ [] : [-(hBOOL(hAPP(hAPP(c_member(tc_prod(_190632, _190632)), hAPP(hAPP(c_Product__Type_OPair(_190632, _190632), 5152 ^ [_190632, _190634, _190636, _190638, _190640]), _190636)), c_Transitive__Closure_Ortrancl(_190632, _190638))))], (5157 ^ _81967) ^ [] : [-(hBOOL(hAPP(hAPP(c_member(tc_prod(_190632, _190632)), hAPP(hAPP(c_Product__Type_OPair(_190632, _190632), 5155 ^ [_190632, _190634, _190636, _190638, _190640]), 5152 ^ [_190632, _190634, _190636, _190638, _190640])), _190640)))], (5159 ^ _81967) ^ [] : [5155 ^ [_190632, _190634, _190636, _190638, _190640] = 5152 ^ [_190632, _190634, _190636, _190638, _190640]]], -(hBOOL(hAPP(hAPP(c_member(tc_prod(_190632, _190632)), hAPP(hAPP(c_Product__Type_OPair(_190632, _190632), _190634), _190636)), c_Transitive__Closure_Ortrancl(_190632, _190638))))], (5163 ^ _81967) ^ [_191203, _191205] : [hBOOL(hAPP(hAPP(c_member(_191203), _191205), c_Orderings_Obot__class_Obot(tc_fun(_191203, tc_HOL_Obool))))], (5165 ^ _81967) ^ [_191240, _191242] : [-(c_Orderings_Oord__class_Oless__eq(tc_fun(_191240, tc_HOL_Obool), c_Orderings_Obot__class_Obot(tc_fun(_191240, tc_HOL_Obool)), _191242))], (5167 ^ _81967) ^ [_191292, _191294, _191296] : [hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_191292, tc_HOL_Obool)), _191294), _191296) = c_Orderings_Obot__class_Obot(tc_fun(_191292, tc_HOL_Obool)), 5170 ^ _81967 : [(5171 ^ _81967) ^ [] : [-(_191294 = c_Orderings_Obot__class_Obot(tc_fun(_191292, tc_HOL_Obool)))], (5173 ^ _81967) ^ [] : [-(_191296 = c_Orderings_Obot__class_Obot(tc_fun(_191292, tc_HOL_Obool)))]]], (5175 ^ _81967) ^ [_191445, _191447, _191449] : [-(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_191445, tc_HOL_Obool)), _191447), _191449) = c_Orderings_Obot__class_Obot(tc_fun(_191445, tc_HOL_Obool))), _191447 = c_Orderings_Obot__class_Obot(tc_fun(_191445, tc_HOL_Obool)), _191449 = c_Orderings_Obot__class_Obot(tc_fun(_191445, tc_HOL_Obool))], (5185 ^ _81967) ^ [_191632, _191634] : [-(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_191632, tc_HOL_Obool)), _191634), c_Orderings_Obot__class_Obot(tc_fun(_191632, tc_HOL_Obool))) = _191634)], (5187 ^ _81967) ^ [_191673, _191675] : [-(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_191673, tc_HOL_Obool)), c_Orderings_Obot__class_Obot(tc_fun(_191673, tc_HOL_Obool))), _191675) = _191675)], (5189 ^ _81967) ^ [_191714, _191716, _191718] : [class_Lattices_Obounded__lattice__bot(_191714), 5192 ^ _81967 : [(5193 ^ _81967) ^ [] : [hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_191714), _191716), _191718) = c_Orderings_Obot__class_Obot(_191714), 5196 ^ _81967 : [(5197 ^ _81967) ^ [] : [-(_191716 = c_Orderings_Obot__class_Obot(_191714))], (5199 ^ _81967) ^ [] : [-(_191718 = c_Orderings_Obot__class_Obot(_191714))]]], (5201 ^ _81967) ^ [] : [-(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_191714), _191716), _191718) = c_Orderings_Obot__class_Obot(_191714)), _191716 = c_Orderings_Obot__class_Obot(_191714), _191718 = c_Orderings_Obot__class_Obot(_191714)]]], (5211 ^ _81967) ^ [_192041, _192043] : [class_Lattices_Obounded__lattice__bot(_192041), -(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_192041), _192043), c_Orderings_Obot__class_Obot(_192041)) = _192043)], (5217 ^ _81967) ^ [_192136, _192138] : [class_Lattices_Obounded__lattice__bot(_192136), -(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_192136), c_Orderings_Obot__class_Obot(_192136)), _192138) = _192138)], (5223 ^ _81967) ^ [_192231] : [-(c_Relation_OField(_192231, c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_192231, _192231), tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(_192231, tc_HOL_Obool)))], (5225 ^ _81967) ^ [_192270, _192272] : [-(c_Transitive__Closure_Ortranclp(_192270, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_192270, tc_fun(_192270, tc_HOL_Obool))), _192272), c_fequal)) = c_Transitive__Closure_Ortranclp(_192270, _192272))], (5227 ^ _81967) ^ [_192315, _192317, _192319] : [-(c_Transitive__Closure_Ortranclp(_192315, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_192315, tc_fun(_192315, tc_HOL_Obool))), c_Transitive__Closure_Ortranclp(_192315, _192317)), c_Transitive__Closure_Ortranclp(_192315, _192319))) = c_Transitive__Closure_Ortranclp(_192315, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_192315, tc_fun(_192315, tc_HOL_Obool))), _192317), _192319)))], (5229 ^ _81967) ^ [_192382, _192384, _192386] : [-(c_FuncSet_Oextensional__funcset(_192382, _192384, c_Orderings_Obot__class_Obot(tc_fun(_192382, tc_HOL_Obool)), _192386) = c_Set_Oinsert(tc_fun(_192382, _192384), c_COMBK(_192384, _192382, c_HOL_Oundefined(_192384)), c_Orderings_Obot__class_Obot(tc_fun(tc_fun(_192382, _192384), tc_HOL_Obool))))], (5231 ^ _81967) ^ [_192440, _192442] : [-(c_FuncSet_Oextensional(_192440, _192442, c_Orderings_Obot__class_Obot(tc_fun(_192440, tc_HOL_Obool))) = c_Set_Oinsert(tc_fun(_192440, _192442), c_COMBK(_192442, _192440, c_HOL_Oundefined(_192442)), c_Orderings_Obot__class_Obot(tc_fun(tc_fun(_192440, _192442), tc_HOL_Obool))))], (5233 ^ _81967) ^ [_192510, _192512, _192514] : [c_Orderings_Obot__class_Obot(tc_fun(_192510, tc_HOL_Obool)) = c_Set_Oinsert(_192510, _192512, _192514)], (5235 ^ _81967) ^ [_192561, _192563, _192565] : [c_Set_Oinsert(_192561, _192563, _192565) = c_Orderings_Obot__class_Obot(tc_fun(_192561, tc_HOL_Obool))], (5237 ^ _81967) ^ [_192621, _192623, _192625, _192627, _192629] : [c_Set_Oinsert(_192621, _192623, c_Set_Oinsert(_192621, _192625, c_Orderings_Obot__class_Obot(tc_fun(_192621, tc_HOL_Obool)))) = c_Set_Oinsert(_192621, _192627, c_Set_Oinsert(_192621, _192629, c_Orderings_Obot__class_Obot(tc_fun(_192621, tc_HOL_Obool)))), 5242 ^ _81967 : [(5243 ^ _81967) ^ [] : [-(_192623 = _192627)], (5245 ^ _81967) ^ [] : [-(_192625 = _192629)]], 5246 ^ _81967 : [(5247 ^ _81967) ^ [] : [-(_192623 = _192629)], (5249 ^ _81967) ^ [] : [-(_192625 = _192627)]]], (5251 ^ _81967) ^ [_192851, _192853, _192855, _192857, _192859] : [-(c_Set_Oinsert(_192851, _192853, c_Set_Oinsert(_192851, _192855, c_Orderings_Obot__class_Obot(tc_fun(_192851, tc_HOL_Obool)))) = c_Set_Oinsert(_192851, _192857, c_Set_Oinsert(_192851, _192859, c_Orderings_Obot__class_Obot(tc_fun(_192851, tc_HOL_Obool))))), 5252 ^ _81967 : [(5253 ^ _81967) ^ [] : [_192853 = _192857, _192855 = _192859], (5259 ^ _81967) ^ [] : [_192853 = _192859, _192855 = _192857]]], (5267 ^ _81967) ^ [_193135, _193137, _193139] : [c_Set_Oinsert(_193135, _193137, c_Orderings_Obot__class_Obot(tc_fun(_193135, tc_HOL_Obool))) = c_Set_Oinsert(_193135, _193139, c_Orderings_Obot__class_Obot(tc_fun(_193135, tc_HOL_Obool))), -(_193137 = _193139)], (5273 ^ _81967) ^ [_193250, _193252, _193254] : [_193250 = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_193252, _193252), tc_HOL_Obool)), -(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_193252, _193252), tc_HOL_Obool), _193250, _193254))], (5279 ^ _81967) ^ [_193374, _193376] : [c_Orderings_Oord__class_Oless__eq(tc_fun(_193374, tc_HOL_Obool), _193376, c_Orderings_Obot__class_Obot(tc_fun(_193374, tc_HOL_Obool))), -(_193376 = c_Orderings_Obot__class_Obot(tc_fun(_193374, tc_HOL_Obool)))], (5285 ^ _81967) ^ [_193475, _193477] : [_193477 = c_Orderings_Obot__class_Obot(tc_fun(_193475, tc_HOL_Obool)), -(c_Orderings_Oord__class_Oless__eq(tc_fun(_193475, tc_HOL_Obool), _193477, c_Orderings_Obot__class_Obot(tc_fun(_193475, tc_HOL_Obool))))], (5291 ^ _81967) ^ [_193582, _193584] : [-(c_Relation_Ototal__on(_193582, c_Orderings_Obot__class_Obot(tc_fun(_193582, tc_HOL_Obool)), _193584))], (5293 ^ _81967) ^ [_193613, _193615] : [class_Orderings_Obot(_193613), -(c_Orderings_Oord__class_Oless__eq(_193613, c_Orderings_Obot__class_Obot(_193613), _193615))], (5299 ^ _81967) ^ [_193694, _193696] : [class_Lattices_Obounded__lattice__bot(_193694), -(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_193694), c_Orderings_Obot__class_Obot(_193694)), _193696) = c_Orderings_Obot__class_Obot(_193694))], (5305 ^ _81967) ^ [_193793, _193795] : [class_Lattices_Obounded__lattice__bot(_193793), -(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_193793), _193795), c_Orderings_Obot__class_Obot(_193793)) = c_Orderings_Obot__class_Obot(_193793))], (5311 ^ _81967) ^ [_193910, _193912, _193914] : [c_Relation_ODomain(_193910, _193912, _193914) = c_Orderings_Obot__class_Obot(tc_fun(_193910, tc_HOL_Obool)), -(_193914 = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_193910, _193912), tc_HOL_Obool)))], (5317 ^ _81967) ^ [_194019, _194021, _194023] : [_194023 = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_194019, _194021), tc_HOL_Obool)), -(c_Relation_ODomain(_194019, _194021, _194023) = c_Orderings_Obot__class_Obot(tc_fun(_194019, tc_HOL_Obool)))], (5323 ^ _81967) ^ [_194134, _194136] : [-(c_Relation_ODomain(_194134, _194136, c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_194134, _194136), tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(_194134, tc_HOL_Obool)))], (5325 ^ _81967) ^ [_194197, _194199, _194201, _194203] : [c_FuncSet_OPi(_194197, _194199, _194201, _194203) = c_Orderings_Obot__class_Obot(tc_fun(tc_fun(_194197, _194199), tc_HOL_Obool)), 5329 ^ _81967 : [(5330 ^ _81967) ^ [] : [-(hBOOL(hAPP(hAPP(c_member(_194197), 5328 ^ [_194197, _194199, _194201, _194203]), _194201)))], (5332 ^ _81967) ^ [] : [-(hAPP(_194203, 5328 ^ [_194197, _194199, _194201, _194203]) = c_Orderings_Obot__class_Obot(tc_fun(_194199, tc_HOL_Obool)))]]], (5334 ^ _81967) ^ [_194383, _194385, _194387, _194389] : [-(c_FuncSet_OPi(_194383, _194385, _194387, _194389) = c_Orderings_Obot__class_Obot(tc_fun(tc_fun(_194383, _194385), tc_HOL_Obool))), 5335 ^ _81967 : [(5336 ^ _81967) ^ [_194455] : [hBOOL(hAPP(hAPP(c_member(_194383), _194455), _194387)), hAPP(_194389, _194455) = c_Orderings_Obot__class_Obot(tc_fun(_194385, tc_HOL_Obool))]]], (5344 ^ _81967) ^ [_194621, _194623, _194625] : [-(_194621 = c_Orderings_Obot__class_Obot(tc_fun(_194623, tc_HOL_Obool))), -(c_FuncSet_Oextensional__funcset(_194623, _194625, _194621, c_Orderings_Obot__class_Obot(tc_fun(_194625, tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(tc_fun(_194623, _194625), tc_HOL_Obool)))], (5350 ^ _81967) ^ [_194923, _194925, _194927] : [c_Relation_ORange(_194923, _194925, _194927) = c_Orderings_Obot__class_Obot(tc_fun(_194925, tc_HOL_Obool)), -(_194927 = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_194923, _194925), tc_HOL_Obool)))], (5356 ^ _81967) ^ [_195125, _195127, _195129] : [_195129 = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_195125, _195127), tc_HOL_Obool)), -(c_Relation_ORange(_195125, _195127, _195129) = c_Orderings_Obot__class_Obot(tc_fun(_195127, tc_HOL_Obool)))], (5362 ^ _81967) ^ [_195362, _195364] : [-(c_Relation_ORange(_195362, _195364, c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_195362, _195364), tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(_195364, tc_HOL_Obool)))], (5364 ^ _81967) ^ [_195459] : [-(c_Relation_OId__on(_195459, c_Orderings_Obot__class_Obot(tc_fun(_195459, tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_195459, _195459), tc_HOL_Obool)))], (5366 ^ _81967) ^ [_195553] : [-(c_Relation_Orefl__on(_195553, c_Orderings_Obot__class_Obot(tc_fun(_195553, tc_HOL_Obool)), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_195553, _195553), tc_HOL_Obool))))], (5368 ^ _81967) ^ [_195703, _195705] : [hBOOL(hAPP(c_Orderings_Obot__class_Obot(tc_fun(_195703, tc_HOL_Obool)), _195705)), -(hBOOL(hAPP(hAPP(c_member(_195703), _195705), c_Orderings_Obot__class_Obot(tc_fun(_195703, tc_HOL_Obool)))))], (5374 ^ _81967) ^ [_195903, _195905] : [hBOOL(hAPP(hAPP(c_member(_195903), _195905), c_Orderings_Obot__class_Obot(tc_fun(_195903, tc_HOL_Obool)))), -(hBOOL(hAPP(c_Orderings_Obot__class_Obot(tc_fun(_195903, tc_HOL_Obool)), _195905)))], (5380 ^ _81967) ^ [_196124] : [-(c_Transitive__Closure_Otrancl(_196124, c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_196124, _196124), tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_196124, _196124), tc_HOL_Obool)))], (5396 ^ _81967) ^ [_196880, _196882, _196884] : [5398 ^ _81967 : [(5399 ^ _81967) ^ [] : [-(hBOOL(hAPP(hAPP(c_member(_196880), 5397 ^ [_196880, _196882, _196884]), _196882)))], (5402 ^ _81967) ^ [] : [-(hBOOL(hAPP(hAPP(c_member(_196880), 5400 ^ [_196880, _196882, _196884]), _196884)))], (5404 ^ _81967) ^ [] : [-(5397 ^ [_196880, _196882, _196884] = 5400 ^ [_196880, _196882, _196884])]], -(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_196880, tc_HOL_Obool)), _196882), _196884) = c_Orderings_Obot__class_Obot(tc_fun(_196880, tc_HOL_Obool)))], (5382 ^ _81967) ^ [_196293, _196295, _196297] : [hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_196293, tc_HOL_Obool)), _196295), _196297) = c_Orderings_Obot__class_Obot(tc_fun(_196293, tc_HOL_Obool)), 5385 ^ _81967 : [(5386 ^ _81967) ^ [_196493] : [hBOOL(hAPP(hAPP(c_member(_196293), _196493), _196295)), 5389 ^ _81967 : [(5390 ^ _81967) ^ [_196667] : [hBOOL(hAPP(hAPP(c_member(_196293), _196667), _196297)), _196493 = _196667]]]]], (5408 ^ _81967) ^ [_197500, _197502] : [-(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_197500, tc_HOL_Obool)), _197502), c_Orderings_Obot__class_Obot(tc_fun(_197500, tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(_197500, tc_HOL_Obool)))], (5410 ^ _81967) ^ [_197615, _197617] : [-(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_197615, tc_HOL_Obool)), c_Orderings_Obot__class_Obot(tc_fun(_197615, tc_HOL_Obool))), _197617) = c_Orderings_Obot__class_Obot(tc_fun(_197615, tc_HOL_Obool)))], (5412 ^ _81967) ^ [_197759, _197761, _197763] : [_197759 = c_Orderings_Obot__class_Obot(tc_fun(_197761, tc_HOL_Obool)), hBOOL(hAPP(hAPP(c_member(_197761), _197763), _197759))], (5418 ^ _81967) ^ [_197984, _197986] : [hBOOL(hAPP(hAPP(c_member(_197984), _197986), c_Orderings_Obot__class_Obot(tc_fun(_197984, tc_HOL_Obool))))], (5420 ^ _81967) ^ [_198134, _198136] : [5421 ^ _81967 : [(5422 ^ _81967) ^ [_198218] : [hBOOL(hAPP(hAPP(c_member(_198134), _198218), _198136))]], _198136 = c_Orderings_Obot__class_Obot(tc_fun(_198134, tc_HOL_Obool))], (5426 ^ _81967) ^ [_198343, _198345] : [-(_198345 = c_Orderings_Obot__class_Obot(tc_fun(_198343, tc_HOL_Obool))), -(hBOOL(hAPP(hAPP(c_member(_198343), 5429 ^ [_198343, _198345]), _198345)))], (5433 ^ _81967) ^ [_198675, _198677] : [-(hBOOL(hAPP(hAPP(c_member(_198675), 5434 ^ [_198675, _198677]), _198677))), -(_198677 = c_Orderings_Obot__class_Obot(tc_fun(_198675, tc_HOL_Obool)))], (5440 ^ _81967) ^ [_198930, _198932] : [_198932 = c_Orderings_Obot__class_Obot(tc_fun(_198930, tc_HOL_Obool)), 5443 ^ _81967 : [(5444 ^ _81967) ^ [_199064] : [hBOOL(hAPP(hAPP(c_member(_198930), _199064), _198932))]]], (5446 ^ _81967) ^ [_199203, _199205, _199207] : [class_Orderings_Obot(_199203), -(hAPP(c_Orderings_Obot__class_Obot(tc_fun(_199205, _199203)), _199207) = c_Orderings_Obot__class_Obot(_199203))], (5452 ^ _81967) ^ [_199451, _199453, _199455] : [class_Orderings_Obot(_199451), -(hAPP(c_Orderings_Obot__class_Obot(tc_fun(_199453, _199451)), _199455) = c_Orderings_Obot__class_Obot(_199451))], (5458 ^ _81967) ^ [_199684, _199686, _199688] : [-(c_Product__Type_OSigma(_199684, _199686, c_Orderings_Obot__class_Obot(tc_fun(_199684, tc_HOL_Obool)), _199688) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_199684, _199686), tc_HOL_Obool)))], (5470 ^ _81967) ^ [_200202, _200204, _200206, _200208] : [5471 ^ _81967 : [(5472 ^ _81967) ^ [] : [_200206 = c_Orderings_Obot__class_Obot(tc_fun(_200202, tc_HOL_Obool))], (5474 ^ _81967) ^ [] : [_200208 = c_Orderings_Obot__class_Obot(tc_fun(_200204, tc_HOL_Obool))]], -(c_Product__Type_OSigma(_200202, _200204, _200206, c_COMBK(tc_fun(_200204, tc_HOL_Obool), _200202, _200208)) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_200202, _200204), tc_HOL_Obool)))], (5460 ^ _81967) ^ [_199870, _199872, _199874, _199876] : [c_Product__Type_OSigma(_199870, _199872, _199874, c_COMBK(tc_fun(_199872, tc_HOL_Obool), _199870, _199876)) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_199870, _199872), tc_HOL_Obool)), -(_199874 = c_Orderings_Obot__class_Obot(tc_fun(_199870, tc_HOL_Obool))), -(_199876 = c_Orderings_Obot__class_Obot(tc_fun(_199872, tc_HOL_Obool)))], (5478 ^ _81967) ^ [_200563, _200565, _200567] : [-(c_Product__Type_OSigma(_200563, _200565, _200567, c_COMBK(tc_fun(_200565, tc_HOL_Obool), _200563, c_Orderings_Obot__class_Obot(tc_fun(_200565, tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_200563, _200565), tc_HOL_Obool)))], (5480 ^ _81967) ^ [_200742, _200744, _200746] : [hBOOL(hAPP(hAPP(c_member(_200742), _200744), c_Set_Oinsert(_200742, _200746, c_Orderings_Obot__class_Obot(tc_fun(_200742, tc_HOL_Obool))))), -(_200744 = _200746)], (5486 ^ _81967) ^ [_200942, _200944, _200946] : [_200944 = _200946, -(hBOOL(hAPP(hAPP(c_member(_200942), _200944), c_Set_Oinsert(_200942, _200946, c_Orderings_Obot__class_Obot(tc_fun(_200942, tc_HOL_Obool))))))], (5492 ^ _81967) ^ [_201206, _201208, _201210] : [hBOOL(hAPP(hAPP(c_member(_201206), _201208), c_Set_Oinsert(_201206, _201210, c_Orderings_Obot__class_Obot(tc_fun(_201206, tc_HOL_Obool))))), -(_201208 = _201210)], (5498 ^ _81967) ^ [_201468, _201470, _201472] : [c_Orderings_Oord__class_Oless__eq(tc_fun(_201468, tc_HOL_Obool), _201470, c_Set_Oinsert(_201468, _201472, c_Orderings_Obot__class_Obot(tc_fun(_201468, tc_HOL_Obool)))), -(_201470 = c_Orderings_Obot__class_Obot(tc_fun(_201468, tc_HOL_Obool))), -(_201470 = c_Set_Oinsert(_201468, _201472, c_Orderings_Obot__class_Obot(tc_fun(_201468, tc_HOL_Obool))))], (5508 ^ _81967) ^ [_201831, _201833, _201835] : [-(c_Set_Oinsert(_201831, _201833, _201835) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_201831, tc_HOL_Obool)), c_Set_Oinsert(_201831, _201833, c_Orderings_Obot__class_Obot(tc_fun(_201831, tc_HOL_Obool)))), _201835))], (5510 ^ _81967) ^ [_202051, _202053, _202055, _202057, _202059, _202061] : [hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_202051, tc_fun(_202053, tc_HOL_Obool))), hAPP(hAPP(c_COMBC(_202051, tc_fun(tc_prod(_202051, _202053), tc_HOL_Obool), tc_fun(_202053, tc_HOL_Obool)), hAPP(c_COMBB(tc_fun(_202053, tc_fun(tc_fun(tc_prod(_202051, _202053), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_202051, _202053), tc_HOL_Obool), tc_fun(_202053, tc_HOL_Obool)), _202051, c_COMBC(_202053, tc_fun(tc_prod(_202051, _202053), tc_HOL_Obool), tc_HOL_Obool)), hAPP(c_COMBB(tc_fun(_202053, tc_prod(_202051, _202053)), tc_fun(_202053, tc_fun(tc_fun(tc_prod(_202051, _202053), tc_HOL_Obool), tc_HOL_Obool)), _202051, c_COMBB(tc_prod(_202051, _202053), tc_fun(tc_fun(tc_prod(_202051, _202053), tc_HOL_Obool), tc_HOL_Obool), _202053, c_member(tc_prod(_202051, _202053)))), c_Product__Type_OPair(_202051, _202053)))), _202055)), hAPP(hAPP(c_COMBC(_202051, tc_fun(tc_prod(_202051, _202053), tc_HOL_Obool), tc_fun(_202053, tc_HOL_Obool)), hAPP(c_COMBB(tc_fun(_202053, tc_fun(tc_fun(tc_prod(_202051, _202053), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_202051, _202053), tc_HOL_Obool), tc_fun(_202053, tc_HOL_Obool)), _202051, c_COMBC(_202053, tc_fun(tc_prod(_202051, _202053), tc_HOL_Obool), tc_HOL_Obool)), hAPP(c_COMBB(tc_fun(_202053, tc_prod(_202051, _202053)), tc_fun(_202053, tc_fun(tc_fun(tc_prod(_202051, _202053), tc_HOL_Obool), tc_HOL_Obool)), _202051, c_COMBB(tc_prod(_202051, _202053), tc_fun(tc_fun(tc_prod(_202051, _202053), tc_HOL_Obool), tc_HOL_Obool), _202053, c_member(tc_prod(_202051, _202053)))), c_Product__Type_OPair(_202051, _202053)))), _202057)), _202059), _202061)), -(hBOOL(hAPP(hAPP(c_member(tc_prod(_202051, _202053)), hAPP(hAPP(c_Product__Type_OPair(_202051, _202053), _202059), _202061)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_202051, _202053), tc_HOL_Obool)), _202055), _202057))))], (5516 ^ _81967) ^ [_202789, _202791, _202793, _202795, _202797, _202799] : [hBOOL(hAPP(hAPP(c_member(tc_prod(_202789, _202791)), hAPP(hAPP(c_Product__Type_OPair(_202789, _202791), _202797), _202799)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_202789, _202791), tc_HOL_Obool)), _202793), _202795))), -(hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_202789, tc_fun(_202791, tc_HOL_Obool))), hAPP(hAPP(c_COMBC(_202789, tc_fun(tc_prod(_202789, _202791), tc_HOL_Obool), tc_fun(_202791, tc_HOL_Obool)), hAPP(c_COMBB(tc_fun(_202791, tc_fun(tc_fun(tc_prod(_202789, _202791), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_202789, _202791), tc_HOL_Obool), tc_fun(_202791, tc_HOL_Obool)), _202789, c_COMBC(_202791, tc_fun(tc_prod(_202789, _202791), tc_HOL_Obool), tc_HOL_Obool)), hAPP(c_COMBB(tc_fun(_202791, tc_prod(_202789, _202791)), tc_fun(_202791, tc_fun(tc_fun(tc_prod(_202789, _202791), tc_HOL_Obool), tc_HOL_Obool)), _202789, c_COMBB(tc_prod(_202789, _202791), tc_fun(tc_fun(tc_prod(_202789, _202791), tc_HOL_Obool), tc_HOL_Obool), _202791, c_member(tc_prod(_202789, _202791)))), c_Product__Type_OPair(_202789, _202791)))), _202793)), hAPP(hAPP(c_COMBC(_202789, tc_fun(tc_prod(_202789, _202791), tc_HOL_Obool), tc_fun(_202791, tc_HOL_Obool)), hAPP(c_COMBB(tc_fun(_202791, tc_fun(tc_fun(tc_prod(_202789, _202791), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_202789, _202791), tc_HOL_Obool), tc_fun(_202791, tc_HOL_Obool)), _202789, c_COMBC(_202791, tc_fun(tc_prod(_202789, _202791), tc_HOL_Obool), tc_HOL_Obool)), hAPP(c_COMBB(tc_fun(_202791, tc_prod(_202789, _202791)), tc_fun(_202791, tc_fun(tc_fun(tc_prod(_202789, _202791), tc_HOL_Obool), tc_HOL_Obool)), _202789, c_COMBB(tc_prod(_202789, _202791), tc_fun(tc_fun(tc_prod(_202789, _202791), tc_HOL_Obool), tc_HOL_Obool), _202791, c_member(tc_prod(_202789, _202791)))), c_Product__Type_OPair(_202789, _202791)))), _202795)), _202797), _202799)))], (5522 ^ _81967) ^ [_203562, _203564] : [-(c_Set_Othe__elem(_203562, c_Set_Oinsert(_203562, _203564, c_Orderings_Obot__class_Obot(tc_fun(_203562, tc_HOL_Obool)))) = _203564)], (5524 ^ _81967) ^ [_203753, _203755, _203757, _203759, _203761, _203763, _203765] : [hBOOL(hAPP(hAPP(c_member(_203753), _203755), _203757)), hBOOL(hAPP(hAPP(c_member(tc_fun(_203759, _203753)), _203761), c_FuncSet_Oextensional__funcset(_203759, _203753, _203763, c_Groups_Ominus__class_Ominus(tc_fun(_203753, tc_HOL_Obool), _203757, c_Set_Oinsert(_203753, _203755, c_Orderings_Obot__class_Obot(tc_fun(_203753, tc_HOL_Obool))))))), -(hBOOL(hAPP(hAPP(c_member(tc_fun(_203759, _203753)), c_Fun_Ofun__upd(_203759, _203753, _203761, _203765, _203755)), c_FuncSet_Oextensional__funcset(_203759, _203753, c_Set_Oinsert(_203759, _203765, _203763), _203757))))], (5534 ^ _81967) ^ [_204284, _204286, _204288, _204290, _204292, _204294] : [5535 ^ _81967 : [(5536 ^ _81967) ^ [] : [hBOOL(hAPP(hAPP(_204284, _204286), _204288))], (5538 ^ _81967) ^ [] : [hBOOL(hAPP(hAPP(_204290, _204286), _204288))]], -(hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_204292, tc_fun(_204294, tc_HOL_Obool))), _204290), _204284), _204286), _204288)))], (5542 ^ _81967) ^ [_204716, _204718, _204720, _204722, _204724, _204726] : [hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_204716, tc_fun(_204718, tc_HOL_Obool))), _204720), _204722), _204724), _204726)), -(hBOOL(hAPP(hAPP(_204720, _204724), _204726))), -(hBOOL(hAPP(hAPP(_204722, _204724), _204726)))], (5552 ^ _81967) ^ [_205144, _205146, _205148, _205150] : [hBOOL(hAPP(hAPP(c_member(_205144), _205146), _205148)), -(hBOOL(hAPP(hAPP(c_member(_205144), _205146), _205150))), -(hBOOL(hAPP(hAPP(c_member(_205144), _205146), c_Groups_Ominus__class_Ominus(tc_fun(_205144, tc_HOL_Obool), _205148, _205150))))], (5562 ^ _81967) ^ [_205550, _205552, _205554, _205556] : [hBOOL(hAPP(hAPP(c_member(_205550), _205552), c_Groups_Ominus__class_Ominus(tc_fun(_205550, tc_HOL_Obool), _205554, _205556))), 5565 ^ _81967 : [(5566 ^ _81967) ^ [] : [-(hBOOL(hAPP(hAPP(c_member(_205550), _205552), _205554)))], (5568 ^ _81967) ^ [] : [hBOOL(hAPP(hAPP(c_member(_205550), _205552), _205556))]]], (5570 ^ _81967) ^ [_205921, _205923, _205925, _205927] : [-(c_Groups_Ominus__class_Ominus(tc_fun(_205921, tc_HOL_Obool), _205923, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_205921, tc_HOL_Obool)), _205925), _205927)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_205921, tc_HOL_Obool)), c_Groups_Ominus__class_Ominus(tc_fun(_205921, tc_HOL_Obool), _205923, _205925)), c_Groups_Ominus__class_Ominus(tc_fun(_205921, tc_HOL_Obool), _205923, _205927)))], (5572 ^ _81967) ^ [_206090, _206092, _206094, _206096] : [-(c_Groups_Ominus__class_Ominus(tc_fun(_206090, tc_HOL_Obool), _206092, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_206090, tc_HOL_Obool)), _206094), _206096)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_206090, tc_HOL_Obool)), c_Groups_Ominus__class_Ominus(tc_fun(_206090, tc_HOL_Obool), _206092, _206094)), c_Groups_Ominus__class_Ominus(tc_fun(_206090, tc_HOL_Obool), _206092, _206096)))], (5574 ^ _81967) ^ [_206245, _206247, _206249] : [-(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_206245, tc_HOL_Obool)), c_Groups_Ominus__class_Ominus(tc_fun(_206245, tc_HOL_Obool), _206247, _206249)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_206245, tc_HOL_Obool)), _206247), _206249)) = _206247)], (5576 ^ _81967) ^ [_206398, _206400, _206402, _206404] : [-(c_Groups_Ominus__class_Ominus(tc_fun(_206398, tc_HOL_Obool), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_206398, tc_HOL_Obool)), _206400), _206402), _206404) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_206398, tc_HOL_Obool)), c_Groups_Ominus__class_Ominus(tc_fun(_206398, tc_HOL_Obool), _206400, _206404)), c_Groups_Ominus__class_Ominus(tc_fun(_206398, tc_HOL_Obool), _206402, _206404)))], (5578 ^ _81967) ^ [_206553, _206555, _206557] : [-(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_206553, tc_HOL_Obool)), c_Groups_Ominus__class_Ominus(tc_fun(_206553, tc_HOL_Obool), _206555, _206557)), _206557) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_206553, tc_HOL_Obool)), _206555), _206557))], (5580 ^ _81967) ^ [_206692, _206694, _206696] : [-(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_206692, tc_HOL_Obool)), _206694), c_Groups_Ominus__class_Ominus(tc_fun(_206692, tc_HOL_Obool), _206696, _206694)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_206692, tc_HOL_Obool)), _206694), _206696))], (5582 ^ _81967) ^ [_206888, _206890, _206892, _206894, _206896, _206898] : [hBOOL(hAPP(hAPP(_206888, _206890), _206892)), -(hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_206894, tc_fun(_206896, tc_HOL_Obool))), _206898), _206888), _206890), _206892)))], (5588 ^ _81967) ^ [_207226, _207228, _207230, _207232, _207234, _207236] : [hBOOL(hAPP(hAPP(_207226, _207228), _207230)), -(hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_207232, tc_fun(_207234, tc_HOL_Obool))), _207226), _207236), _207228), _207230)))], (5594 ^ _81967) ^ [] : [-(class_Lattices_Obounded__lattice(tc_HOL_Obool))], (5596 ^ _81967) ^ [_207561, _207563] : [class_Lattices_Obounded__lattice(_207561), -(class_Lattices_Obounded__lattice(tc_fun(_207563, _207561)))], (5602 ^ _81967) ^ [_207773, _207775] : [class_Lattices_Obounded__lattice(_207773), -(class_Lattices_Obounded__lattice__bot(tc_fun(_207775, _207773)))], (5608 ^ _81967) ^ [_207985, _207987] : [class_Lattices_Olattice(_207985), -(class_Lattices_Osemilattice__sup(tc_fun(_207987, _207985)))], (5614 ^ _81967) ^ [_208197, _208199] : [class_Lattices_Olattice(_208197), -(class_Lattices_Osemilattice__inf(tc_fun(_208199, _208197)))], (5620 ^ _81967) ^ [_208409, _208411] : [class_Lattices_Odistrib__lattice(_208409), -(class_Lattices_Odistrib__lattice(tc_fun(_208411, _208409)))], (5626 ^ _81967) ^ [_208621, _208623] : [class_Orderings_Opreorder(_208621), -(class_Orderings_Opreorder(tc_fun(_208623, _208621)))], (5632 ^ _81967) ^ [_208833, _208835] : [class_Lattices_Olattice(_208833), -(class_Lattices_Olattice(tc_fun(_208835, _208833)))], (5638 ^ _81967) ^ [_209045, _209047] : [class_Orderings_Oorder(_209045), -(class_Orderings_Oorder(tc_fun(_209047, _209045)))], (5644 ^ _81967) ^ [_209257, _209259] : [class_Orderings_Oord(_209257), -(class_Orderings_Oord(tc_fun(_209259, _209257)))], (5650 ^ _81967) ^ [_209469, _209471] : [class_Orderings_Obot(_209469), -(class_Orderings_Obot(tc_fun(_209471, _209469)))], (5656 ^ _81967) ^ [] : [-(class_Lattices_Osemilattice__sup(tc_Nat_Onat))], (5658 ^ _81967) ^ [] : [-(class_Lattices_Osemilattice__inf(tc_Nat_Onat))], (5660 ^ _81967) ^ [] : [-(class_Lattices_Odistrib__lattice(tc_Nat_Onat))], (5662 ^ _81967) ^ [] : [-(class_Orderings_Opreorder(tc_Nat_Onat))], (5664 ^ _81967) ^ [] : [-(class_Orderings_Olinorder(tc_Nat_Onat))], (5666 ^ _81967) ^ [] : [-(class_Lattices_Olattice(tc_Nat_Onat))], (5668 ^ _81967) ^ [] : [-(class_Orderings_Oorder(tc_Nat_Onat))], (5670 ^ _81967) ^ [] : [-(class_Orderings_Oord(tc_Nat_Onat))], (5672 ^ _81967) ^ [] : [-(class_Orderings_Obot(tc_Nat_Onat))], (5674 ^ _81967) ^ [] : [-(class_Lattices_Obounded__lattice__bot(tc_HOL_Obool))], (5676 ^ _81967) ^ [] : [-(class_Lattices_Osemilattice__sup(tc_HOL_Obool))], (5678 ^ _81967) ^ [] : [-(class_Lattices_Osemilattice__inf(tc_HOL_Obool))], (5680 ^ _81967) ^ [] : [-(class_Lattices_Odistrib__lattice(tc_HOL_Obool))], (5682 ^ _81967) ^ [] : [-(class_Orderings_Opreorder(tc_HOL_Obool))], (5684 ^ _81967) ^ [] : [-(class_Lattices_Olattice(tc_HOL_Obool))], (5686 ^ _81967) ^ [] : [-(class_Orderings_Oorder(tc_HOL_Obool))], (5688 ^ _81967) ^ [] : [-(class_Orderings_Oord(tc_HOL_Obool))], (5690 ^ _81967) ^ [] : [-(class_Orderings_Obot(tc_HOL_Obool))], (5692 ^ _81967) ^ [_210620, _210622] : [-(hAPP(c_COMBI(_210620), _210622) = _210622)], (5694 ^ _81967) ^ [_210747, _210749, _210751, _210753] : [-(hAPP(c_COMBK(_210747, _210749, _210751), _210753) = _210751)], (5696 ^ _81967) ^ [_210908, _210910, _210912, _210914, _210916, _210918] : [-(hAPP(hAPP(c_COMBB(_210908, _210910, _210912, _210914), _210916), _210918) = hAPP(_210914, hAPP(_210916, _210918)))], (5698 ^ _81967) ^ [_211083, _211085, _211087, _211089, _211091, _211093] : [-(hAPP(hAPP(hAPP(c_COMBC(_211083, _211085, _211087), _211089), _211091), _211093) = hAPP(hAPP(_211089, _211093), _211091))], (5700 ^ _81967) ^ [_211260, _211262, _211264, _211266, _211268, _211270] : [-(hAPP(hAPP(hAPP(c_COMBS(_211260, _211262, _211264), _211266), _211268), _211270) = hAPP(hAPP(_211266, _211270), hAPP(_211268, _211270)))], (5702 ^ _81967) ^ [_211399, _211401] : [hBOOL(hAPP(hAPP(c_fequal, _211399), _211401)), -(_211399 = _211401)], (5708 ^ _81967) ^ [_211621, _211623] : [_211621 = _211623, -(hBOOL(hAPP(hAPP(c_fequal, _211621), _211623)))], (5714 ^ _81967) ^ [_211829] : [hBOOL(hAPP(c_fNot, _211829)), hBOOL(_211829)], (5720 ^ _81967) ^ [_212004] : [-(hBOOL(_212004)), -(hBOOL(hAPP(c_fNot, _212004)))]], input).
% 135.48/130.90 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_a_H____), v_b_H____)), hAPP(v_F, v_P_H____)))],start(5726 ^ 0)).
% 135.48/130.90 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_a_H____), v_b_H____)), hAPP(v_F, v_P_H____)))), 1118 : 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_F, v_Q____))), 1110 : -(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_Q____, 1106 ^ [v_Q____, v_P_H____, v_b_H____, v_a_H____])))), 1114 : -(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____, 1106 ^ [v_Q____, v_P_H____, v_b_H____, v_a_H____])))), 1105 : 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)), 1101 : 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(1097 ^ 1,bind([[_99275, _99440, _99591, _99593], [v_Q____, v_P_H____, v_b_H____, v_a_H____]]))).
% 135.48/130.90 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_a_H____), v_b_H____)), hAPP(v_F, v_Q____))))],extension(1083 ^ 8)).
% 135.48/130.90 ncf('1.1.2',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_a_H____), v_b_H____)), hAPP(v_Q____, 1106 ^ [v_Q____, v_P_H____, v_b_H____, 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_b_H____)), hAPP(v_P_H____, 1106 ^ [v_Q____, v_P_H____, v_b_H____, v_a_H____]))))],extension(1085 ^ 8,bind([[_99087], [1106 ^ [v_Q____, v_P_H____, v_b_H____, v_a_H____]]]))).
% 135.48/130.90 ncf('1.1.2.1',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_a_H____), v_b_H____)), hAPP(v_P_H____, 1106 ^ [v_Q____, v_P_H____, v_b_H____, v_a_H____])))],extension(1112 ^ 9)).
% 135.48/130.90 ncf('1.1.3',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_a_H____), v_b_H____)), hAPP(v_P_H____, 1106 ^ [v_Q____, v_P_H____, v_b_H____, 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_b_H____)), hAPP(v_Q____, 1106 ^ [v_Q____, v_P_H____, v_b_H____, v_a_H____]))))],extension(1091 ^ 8,bind([[_99178], [1106 ^ [v_Q____, v_P_H____, v_b_H____, v_a_H____]]]))).
% 135.48/130.90 ncf('1.1.3.1',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_a_H____), v_b_H____)), hAPP(v_Q____, 1106 ^ [v_Q____, v_P_H____, v_b_H____, v_a_H____])))],extension(1116 ^ 9)).
% 135.48/130.90 ncf('1.1.4',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_P_H____), c_Arrow__Order__Mirabelle_OProf)))],extension(1130 ^ 4)).
% 135.48/130.90 ncf('1.1.5',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(1298 ^ 2)).
% 135.48/130.90 %-----------------------------------------------------
% 135.48/130.90 End of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
%------------------------------------------------------------------------------