TSTP Solution File: SCT128+1 by nanoCoP---2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : nanoCoP---2.0
% Problem : SCT128+1 : TPTP v8.1.2. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : nanocop.sh %s %d
% Computer : n024.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Fri May 19 11:51:35 EDT 2023
% Result : Theorem 135.04s 130.08s
% Output : Proof 135.04s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SCT128+1 : TPTP v8.1.2. Released v5.2.0.
% 0.11/0.12 % Command : nanocop.sh %s %d
% 0.12/0.34 % Computer : n024.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 15:34:51 EDT 2023
% 0.12/0.34 % CPUTime :
% 135.04/130.08
% 135.04/130.08 /export/starexec/sandbox/benchmark/theBenchmark.p is a Theorem
% 135.04/130.08 Start of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 135.04/130.08 %-----------------------------------------------------
% 135.04/130.08 ncf(matrix, plain, [(5722 ^ _82167) ^ [] : [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____)))], (2 ^ _82167) ^ [_82197] : [-(_82197 = _82197)], (4 ^ _82167) ^ [_82220, _82222] : [_82222 = _82220, -(_82220 = _82222)], (10 ^ _82167) ^ [_82293, _82295, _82297] : [-(_82297 = _82293), _82297 = _82295, _82295 = _82293], (20 ^ _82167) ^ [_82430, _82432, _82434, _82436, _82438, _82440, _82442, _82444, _82446, _82448] : [-(c_FunDef_Oin__rel(_82446, _82442, _82438, _82434, _82430)), c_FunDef_Oin__rel(_82448, _82444, _82440, _82436, _82432), _82448 = _82446, _82444 = _82442, _82440 = _82438, _82436 = _82434, _82432 = _82430], (46 ^ _82167) ^ [_82875, _82877, _82879, _82881] : [-(c_Nitpick_Orefl_H(_82879, _82875)), c_Nitpick_Orefl_H(_82881, _82877), _82881 = _82879, _82877 = _82875], (60 ^ _82167) ^ [_83068, _83070] : [-(c_Arrow__Order__Mirabelle_OIIA(_83068)), _83070 = _83068, c_Arrow__Order__Mirabelle_OIIA(_83070)], (70 ^ _82167) ^ [_83193, _83195] : [-(c_Arrow__Order__Mirabelle_Ounanimity(_83193)), _83195 = _83193, c_Arrow__Order__Mirabelle_Ounanimity(_83195)], (80 ^ _82167) ^ [_83318, _83320, _83322, _83324] : [-(c_Arrow__Order__Mirabelle_Odictator(_83322, _83318)), c_Arrow__Order__Mirabelle_Odictator(_83324, _83320), _83324 = _83322, _83320 = _83318], (94 ^ _82167) ^ [_83511, _83513, _83515, _83517, _83519, _83521, _83523, _83525] : [-(c_Recdef_Oadm__wf(_83523, _83519, _83515, _83511)), c_Recdef_Oadm__wf(_83525, _83521, _83517, _83513), _83525 = _83523, _83521 = _83519, _83517 = _83515, _83513 = _83511], (116 ^ _82167) ^ [_83864, _83866, _83868, _83870, _83872, _83874, _83876, _83878, _83880, _83882, _83884, _83886] : [-(c_Recdef_Owfrec__rel(_83884, _83880, _83876, _83872, _83868, _83864)), c_Recdef_Owfrec__rel(_83886, _83882, _83878, _83874, _83870, _83866), _83886 = _83884, _83882 = _83880, _83878 = _83876, _83874 = _83872, _83870 = _83868, _83866 = _83864], (146 ^ _82167) ^ [_84409, _84411, _84413, _84415, _84417, _84419, _84421, _84423] : [-(c_Predicate_ODomainP(_84421, _84417, _84413, _84409)), c_Predicate_ODomainP(_84423, _84419, _84415, _84411), _84423 = _84421, _84419 = _84417, _84415 = _84413, _84411 = _84409], (168 ^ _82167) ^ [_84762, _84764, _84766, _84768] : [-(c_Relation_Oirrefl(_84766, _84762)), c_Relation_Oirrefl(_84768, _84764), _84768 = _84766, _84764 = _84762], (182 ^ _82167) ^ [_84955, _84957, _84959, _84961, _84963, _84965, _84967, _84969] : [-(c_Predicate_ORangeP(_84967, _84963, _84959, _84955)), c_Predicate_ORangeP(_84969, _84965, _84961, _84957), _84969 = _84967, _84965 = _84963, _84961 = _84959, _84957 = _84955], (204 ^ _82167) ^ [_85308, _85310, _85312, _85314, _85316, _85318] : [-(c_Relation_Osingle__valued(_85316, _85312, _85308)), c_Relation_Osingle__valued(_85318, _85314, _85310), _85318 = _85316, _85314 = _85312, _85310 = _85308], (222 ^ _82167) ^ [_85577, _85579, _85581, _85583] : [-(c_Wellfounded_Oacyclic(_85581, _85577)), c_Wellfounded_Oacyclic(_85583, _85579), _85583 = _85581, _85579 = _85577], (236 ^ _82167) ^ [_85770, _85772, _85774, _85776, _85778, _85780] : [-(c_Relation_Ototal__on(_85778, _85774, _85770)), c_Relation_Ototal__on(_85780, _85776, _85772), _85780 = _85778, _85776 = _85774, _85772 = _85770], (254 ^ _82167) ^ [_86039, _86041, _86043, _86045, _86047, _86049] : [-(c_Relation_Orefl__on(_86047, _86043, _86039)), c_Relation_Orefl__on(_86049, _86045, _86041), _86049 = _86047, _86045 = _86043, _86041 = _86039], (272 ^ _82167) ^ [_86308, _86310, _86312, _86314, _86316, _86318] : [-(c_Orderings_Oord__class_Oless__eq(_86316, _86312, _86308)), c_Orderings_Oord__class_Oless__eq(_86318, _86314, _86310), _86318 = _86316, _86314 = _86312, _86310 = _86308], (290 ^ _82167) ^ [_86577, _86579] : [-(class_Lattices_Obounded__lattice(_86577)), _86579 = _86577, class_Lattices_Obounded__lattice(_86579)], (300 ^ _82167) ^ [_86702, _86704] : [-(class_Orderings_Olinorder(_86702)), _86704 = _86702, class_Orderings_Olinorder(_86704)], (310 ^ _82167) ^ [_86827, _86829] : [-(class_Lattices_Obounded__lattice__bot(_86827)), _86829 = _86827, class_Lattices_Obounded__lattice__bot(_86829)], (320 ^ _82167) ^ [_86952, _86954] : [-(class_Lattices_Osemilattice__sup(_86952)), _86954 = _86952, class_Lattices_Osemilattice__sup(_86954)], (330 ^ _82167) ^ [_87077, _87079] : [-(class_Lattices_Osemilattice__inf(_87077)), _87079 = _87077, class_Lattices_Osemilattice__inf(_87079)], (340 ^ _82167) ^ [_87202, _87204] : [-(class_Lattices_Odistrib__lattice(_87202)), _87204 = _87202, class_Lattices_Odistrib__lattice(_87204)], (350 ^ _82167) ^ [_87327, _87329] : [-(class_Orderings_Opreorder(_87327)), _87329 = _87327, class_Orderings_Opreorder(_87329)], (360 ^ _82167) ^ [_87452, _87454] : [-(class_Lattices_Olattice(_87452)), _87454 = _87452, class_Lattices_Olattice(_87454)], (370 ^ _82167) ^ [_87577, _87579] : [-(class_Orderings_Oorder(_87577)), _87579 = _87577, class_Orderings_Oorder(_87579)], (380 ^ _82167) ^ [_87702, _87704] : [-(class_Orderings_Oord(_87702)), _87704 = _87702, class_Orderings_Oord(_87704)], (390 ^ _82167) ^ [_87827, _87829] : [-(class_Orderings_Obot(_87827)), _87829 = _87827, class_Orderings_Obot(_87829)], (400 ^ _82167) ^ [_87948, _87950] : [-(hBOOL(_87948)), _87950 = _87948, hBOOL(_87950)], (410 ^ _82167) ^ [_88155, _88157, _88159, _88161, _88163, _88165, _88167, _88169] : [-(c_Recdef_Osame__fst(_88169, _88165, _88161, _88157) = c_Recdef_Osame__fst(_88167, _88163, _88159, _88155)), _88169 = _88167, _88165 = _88163, _88161 = _88159, _88157 = _88155], (428 ^ _82167) ^ [_88456, _88458, _88460, _88462] : [-(c_Arrow__Order__Mirabelle_Omkbot(_88462, _88458) = c_Arrow__Order__Mirabelle_Omkbot(_88460, _88456)), _88462 = _88460, _88458 = _88456], (438 ^ _82167) ^ [_88605, _88607, _88609, _88611] : [-(c_Arrow__Order__Mirabelle_Omktop(_88611, _88607) = c_Arrow__Order__Mirabelle_Omktop(_88609, _88605)), _88611 = _88609, _88607 = _88605], (448 ^ _82167) ^ [_88754, _88756, _88758, _88760, _88762, _88764, _88766, _88768] : [-(c_HOL_OLet(_88768, _88764, _88760, _88756) = c_HOL_OLet(_88766, _88762, _88758, _88754)), _88768 = _88766, _88764 = _88762, _88760 = _88758, _88756 = _88754], (466 ^ _82167) ^ [_89055, _89057, _89059, _89061] : [-(c_If(_89061, _89057) = c_If(_89059, _89055)), _89061 = _89059, _89057 = _89055], (476 ^ _82167) ^ [_89204, _89206, _89208, _89210, _89212, _89214, _89216, _89218, _89220, _89222] : [-(c_Product__Type_Oprod_Oprod__rec(_89222, _89218, _89214, _89210, _89206) = c_Product__Type_Oprod_Oprod__rec(_89220, _89216, _89212, _89208, _89204)), _89222 = _89220, _89218 = _89216, _89214 = _89212, _89210 = _89208, _89206 = _89204], (498 ^ _82167) ^ [_89593, _89595, _89597, _89599, _89601, _89603] : [-(c_Arrow__Order__Mirabelle_Obelow(_89603, _89599, _89595) = c_Arrow__Order__Mirabelle_Obelow(_89601, _89597, _89593)), _89603 = _89601, _89599 = _89597, _89595 = _89593], (512 ^ _82167) ^ [_89814, _89816, _89818, _89820, _89822, _89824, _89826, _89828, _89830, _89832] : [-(c_Product__Type_Ointernal__split(_89832, _89828, _89824, _89820, _89816) = c_Product__Type_Ointernal__split(_89830, _89826, _89822, _89818, _89814)), _89832 = _89830, _89828 = _89826, _89824 = _89822, _89820 = _89818, _89816 = _89814], (534 ^ _82167) ^ [_90203, _90205, _90207, _90209, _90211, _90213, _90215, _90217, _90219, _90221, _90223, _90225] : [-(c_Product__Type_Ocurry(_90225, _90221, _90217, _90213, _90209, _90205) = c_Product__Type_Ocurry(_90223, _90219, _90215, _90211, _90207, _90203)), _90225 = _90223, _90221 = _90219, _90217 = _90215, _90213 = _90211, _90209 = _90207, _90205 = _90203], (560 ^ _82167) ^ [_90688, _90690, _90692, _90694, _90696, _90698, _90700, _90702, _90704, _90706, _90708, _90710] : [-(c_FuncSet_Ocompose(_90710, _90706, _90702, _90698, _90694, _90690) = c_FuncSet_Ocompose(_90708, _90704, _90700, _90696, _90692, _90688)), _90710 = _90708, _90706 = _90704, _90702 = _90700, _90698 = _90696, _90694 = _90692, _90690 = _90688], (586 ^ _82167) ^ [_91173, _91175, _91177, _91179, _91181, _91183, _91185, _91187] : [-(c_FuncSet_Orestrict(_91187, _91183, _91179, _91175) = c_FuncSet_Orestrict(_91185, _91181, _91177, _91173)), _91187 = _91185, _91183 = _91181, _91179 = _91177, _91175 = _91173], (604 ^ _82167) ^ [_91474, _91476, _91478, _91480, _91482, _91484, _91486, _91488, _91490, _91492] : [-(c_Nitpick_Owf__wfrec_H(_91492, _91488, _91484, _91480, _91476) = c_Nitpick_Owf__wfrec_H(_91490, _91486, _91482, _91478, _91474)), _91492 = _91490, _91488 = _91486, _91484 = _91482, _91480 = _91478, _91476 = _91474], (626 ^ _82167) ^ [_91863, _91865, _91867, _91869] : [-(c_Recdef_Ocut(_91869, _91865) = c_Recdef_Ocut(_91867, _91863)), _91869 = _91867, _91865 = _91863], (636 ^ _82167) ^ [_92012, _92014, _92016, _92018, _92020, _92022, _92024, _92026] : [-(c_Nitpick_Owf__wfrec(_92026, _92022, _92018, _92014) = c_Nitpick_Owf__wfrec(_92024, _92020, _92016, _92012)), _92026 = _92024, _92022 = _92020, _92018 = _92016, _92014 = _92012], (654 ^ _82167) ^ [_92313, _92315, _92317, _92319] : [-(c_Wellfounded_Oacc(_92319, _92315) = c_Wellfounded_Oacc(_92317, _92313)), _92319 = _92317, _92315 = _92313], (664 ^ _82167) ^ [_92462, _92464, _92466, _92468] : [-(c_Wellfounded_Oaccp(_92468, _92464) = c_Wellfounded_Oaccp(_92466, _92462)), _92468 = _92466, _92464 = _92462], (674 ^ _82167) ^ [_92611, _92613, _92615, _92617, _92619, _92621] : [-(c_Wellfounded_Omlex__prod(_92621, _92617, _92613) = c_Wellfounded_Omlex__prod(_92619, _92615, _92611)), _92621 = _92619, _92617 = _92615, _92613 = _92611], (688 ^ _82167) ^ [_92832, _92834, _92836, _92838, _92840, _92842, _92844, _92846] : [-(c_Relation_Oinv__image(_92846, _92842, _92838, _92834) = c_Relation_Oinv__image(_92844, _92840, _92836, _92832)), _92846 = _92844, _92842 = _92840, _92838 = _92836, _92834 = _92832], (706 ^ _82167) ^ [_93133, _93135, _93137, _93139, _93141, _93143, _93145, _93147] : [-(c_Wellfounded_Olex__prod(_93147, _93143, _93139, _93135) = c_Wellfounded_Olex__prod(_93145, _93141, _93137, _93133)), _93147 = _93145, _93143 = _93141, _93139 = _93137, _93135 = _93133], (724 ^ _82167) ^ [_93434, _93436, _93438, _93440] : [-(c_Transitive__Closure_Ortrancl(_93440, _93436) = c_Transitive__Closure_Ortrancl(_93438, _93434)), _93440 = _93438, _93436 = _93434], (734 ^ _82167) ^ [_93583, _93585, _93587, _93589] : [-(c_Relation_OField(_93589, _93585) = c_Relation_OField(_93587, _93583)), _93589 = _93587, _93585 = _93583], (744 ^ _82167) ^ [_93732, _93734, _93736, _93738] : [-(c_Transitive__Closure_Ortranclp(_93738, _93734) = c_Transitive__Closure_Ortranclp(_93736, _93732)), _93738 = _93736, _93734 = _93732], (754 ^ _82167) ^ [_93881, _93883, _93885, _93887, _93889, _93891] : [-(c_FuncSet_Oextensional(_93891, _93887, _93883) = c_FuncSet_Oextensional(_93889, _93885, _93881)), _93891 = _93889, _93887 = _93885, _93883 = _93881], (768 ^ _82167) ^ [_94102, _94104] : [_94104 = _94102, -(c_HOL_Oundefined(_94104) = c_HOL_Oundefined(_94102))], (774 ^ _82167) ^ [_94187, _94189, _94191, _94193, _94195, _94197] : [-(c_Relation_ODomain(_94197, _94193, _94189) = c_Relation_ODomain(_94195, _94191, _94187)), _94197 = _94195, _94193 = _94191, _94189 = _94187], (788 ^ _82167) ^ [_94408, _94410, _94412, _94414, _94416, _94418, _94420, _94422] : [-(c_FuncSet_OPi(_94422, _94418, _94414, _94410) = c_FuncSet_OPi(_94420, _94416, _94412, _94408)), _94422 = _94420, _94418 = _94416, _94414 = _94412, _94410 = _94408], (806 ^ _82167) ^ [_94709, _94711, _94713, _94715, _94717, _94719] : [-(c_Relation_ORange(_94719, _94715, _94711) = c_Relation_ORange(_94717, _94713, _94709)), _94719 = _94717, _94715 = _94713, _94711 = _94709], (820 ^ _82167) ^ [_94930, _94932, _94934, _94936] : [-(c_Relation_OId__on(_94936, _94932) = c_Relation_OId__on(_94934, _94930)), _94936 = _94934, _94932 = _94930], (830 ^ _82167) ^ [_95079, _95081, _95083, _95085] : [-(c_Transitive__Closure_Otrancl(_95085, _95081) = c_Transitive__Closure_Otrancl(_95083, _95079)), _95085 = _95083, _95081 = _95079], (840 ^ _82167) ^ [_95228, _95230, _95232, _95234, _95236, _95238, _95240, _95242] : [-(c_Product__Type_OSigma(_95242, _95238, _95234, _95230) = c_Product__Type_OSigma(_95240, _95236, _95232, _95228)), _95242 = _95240, _95238 = _95236, _95234 = _95232, _95230 = _95228], (858 ^ _82167) ^ [_95529, _95531, _95533, _95535] : [-(c_Set_Othe__elem(_95535, _95531) = c_Set_Othe__elem(_95533, _95529)), _95535 = _95533, _95531 = _95529], (868 ^ _82167) ^ [_95678, _95680, _95682, _95684, _95686, _95688, _95690, _95692, _95694, _95696] : [-(c_Fun_Ofun__upd(_95696, _95692, _95688, _95684, _95680) = c_Fun_Ofun__upd(_95694, _95690, _95686, _95682, _95678)), _95696 = _95694, _95692 = _95690, _95688 = _95686, _95684 = _95682, _95680 = _95678], (890 ^ _82167) ^ [_96067, _96069, _96071, _96073, _96075, _96077, _96079, _96081] : [-(c_FuncSet_Oextensional__funcset(_96081, _96077, _96073, _96069) = c_FuncSet_Oextensional__funcset(_96079, _96075, _96071, _96067)), _96081 = _96079, _96077 = _96075, _96073 = _96071, _96069 = _96067], (908 ^ _82167) ^ [_96368, _96370] : [_96370 = _96368, -(c_Lattices_Osemilattice__inf__class_Oinf(_96370) = c_Lattices_Osemilattice__inf__class_Oinf(_96368))], (914 ^ _82167) ^ [_96453, _96455] : [_96455 = _96453, -(c_Lattices_Osemilattice__sup__class_Osup(_96455) = c_Lattices_Osemilattice__sup__class_Osup(_96453))], (920 ^ _82167) ^ [_96538, _96540, _96542, _96544, _96546, _96548] : [-(c_Groups_Ominus__class_Ominus(_96548, _96544, _96540) = c_Groups_Ominus__class_Ominus(_96546, _96542, _96538)), _96548 = _96546, _96544 = _96542, _96540 = _96538], (934 ^ _82167) ^ [_96759, _96761] : [_96761 = _96759, -(c_Orderings_Obot__class_Obot(_96761) = c_Orderings_Obot__class_Obot(_96759))], (940 ^ _82167) ^ [_96844, _96846, _96848, _96850, _96852, _96854] : [-(c_Set_Oinsert(_96854, _96850, _96846) = c_Set_Oinsert(_96852, _96848, _96844)), _96854 = _96852, _96850 = _96848, _96846 = _96844], (954 ^ _82167) ^ [_97065, _97067, _97069, _97071] : [-(tc_fun(_97071, _97067) = tc_fun(_97069, _97065)), _97071 = _97069, _97067 = _97065], (964 ^ _82167) ^ [_97214, _97216] : [_97216 = _97214, -(c_COMBI(_97216) = c_COMBI(_97214))], (970 ^ _82167) ^ [_97299, _97301, _97303, _97305, _97307, _97309] : [-(c_COMBK(_97309, _97305, _97301) = c_COMBK(_97307, _97303, _97299)), _97309 = _97307, _97305 = _97303, _97301 = _97299], (984 ^ _82167) ^ [_97520, _97522, _97524, _97526, _97528, _97530, _97532, _97534] : [-(c_COMBB(_97534, _97530, _97526, _97522) = c_COMBB(_97532, _97528, _97524, _97520)), _97534 = _97532, _97530 = _97528, _97526 = _97524, _97522 = _97520], (1002 ^ _82167) ^ [_97821, _97823, _97825, _97827, _97829, _97831] : [-(c_COMBC(_97831, _97827, _97823) = c_COMBC(_97829, _97825, _97821)), _97831 = _97829, _97827 = _97825, _97823 = _97821], (1016 ^ _82167) ^ [_98042, _98044, _98046, _98048, _98050, _98052] : [-(c_COMBS(_98052, _98048, _98044) = c_COMBS(_98050, _98046, _98042)), _98052 = _98050, _98048 = _98046, _98044 = _98042], (1030 ^ _82167) ^ [_98263, _98265] : [_98265 = _98263, -(c_member(_98265) = c_member(_98263))], (1036 ^ _82167) ^ [_98348, _98350, _98352, _98354] : [-(tc_prod(_98354, _98350) = tc_prod(_98352, _98348)), _98354 = _98352, _98350 = _98348], (1046 ^ _82167) ^ [_98497, _98499, _98501, _98503] : [-(c_Product__Type_OPair(_98503, _98499) = c_Product__Type_OPair(_98501, _98497)), _98503 = _98501, _98499 = _98497], (1056 ^ _82167) ^ [_98642, _98644, _98646, _98648] : [-(hAPP(_98648, _98644) = hAPP(_98646, _98642)), _98648 = _98646, _98644 = _98642], (1066 ^ _82167) ^ [_99023, _99025] : [hAPP(_99023, 1067 ^ [_99023, _99025]) = hAPP(_99025, 1067 ^ [_99023, _99025]), -(_99023 = _99025)], (1073 ^ _82167) ^ [] : [-(c_Arrow__Order__Mirabelle_OIIA(v_F))], (1075 ^ _82167) ^ [] : [-(c_Arrow__Order__Mirabelle_Ounanimity(v_F))], (1077 ^ _82167) ^ [] : [v_a____ = v_b____], (1079 ^ _82167) ^ [] : [v_a____ = v_b_H____], (1081 ^ _82167) ^ [] : [v_b____ = v_a_H____], (1083 ^ _82167) ^ [] : [-(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____))))], (1085 ^ _82167) ^ [_99287] : [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____, _99287))), -(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____, _99287))))], (1091 ^ _82167) ^ [_99378] : [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____, _99378))), -(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____, _99378))))], (1097 ^ _82167) ^ [_99475] : [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))), _99475), c_Arrow__Order__Mirabelle_OProf)), 1100 ^ _82167 : [(1101 ^ _82167) ^ [_99640] : [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))), _99640), c_Arrow__Order__Mirabelle_OProf)), 1104 ^ _82167 : [(1105 ^ _82167) ^ [_99791, _99793] : [1109 ^ _82167 : [(1110 ^ _82167) ^ [] : [-(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), _99793), _99791)), hAPP(_99475, 1106 ^ [_99475, _99640, _99791, _99793]))))], (1112 ^ _82167) ^ [] : [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), _99793), _99791)), hAPP(_99640, 1106 ^ [_99475, _99640, _99791, _99793])))]], 1113 ^ _82167 : [(1114 ^ _82167) ^ [] : [-(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), _99793), _99791)), hAPP(_99640, 1106 ^ [_99475, _99640, _99791, _99793]))))], (1116 ^ _82167) ^ [] : [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), _99793), _99791)), hAPP(_99475, 1106 ^ [_99475, _99640, _99791, _99793])))]], 1117 ^ _82167 : [(1118 ^ _82167) ^ [] : [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), _99793), _99791)), hAPP(v_F, _99475))), -(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), _99793), _99791)), hAPP(v_F, _99640))))], (1124 ^ _82167) ^ [] : [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), _99793), _99791)), hAPP(v_F, _99640))), -(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), _99793), _99791)), hAPP(v_F, _99475))))]]]]]]], (1130 ^ _82167) ^ [_100399, _100401, _100403, _100405] : [_100399 = _100401, 1135 ^ _82167 : [(1136 ^ _82167) ^ [] : [-(hBOOL(hAPP(hAPP(c_member(_100403), _100405), _100399)))], (1138 ^ _82167) ^ [] : [-(hBOOL(hAPP(hAPP(c_member(_100403), _100405), _100401)))]], 1139 ^ _82167 : [(1140 ^ _82167) ^ [] : [hBOOL(hAPP(hAPP(c_member(_100403), _100405), _100399))], (1142 ^ _82167) ^ [] : [hBOOL(hAPP(hAPP(c_member(_100403), _100405), _100401))]]], (1162 ^ _82167) ^ [_100951, _100953, _100955, _100957] : [-(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), _100951), _100953)), c_Arrow__Order__Mirabelle_Omkbot(_100955, _100957)))), -(_100953 = _100957), 1169 ^ _82167 : [(1170 ^ _82167) ^ [] : [-(_100951 = _100957)], (1172 ^ _82167) ^ [] : [-(_100951 = _100953)]], 1173 ^ _82167 : [(1174 ^ _82167) ^ [] : [_100951 = _100957], (1176 ^ _82167) ^ [] : [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), _100951), _100953)), _100955))]]], (1144 ^ _82167) ^ [_100683, _100685, _100687, _100689] : [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), _100683), _100685)), c_Arrow__Order__Mirabelle_Omkbot(_100687, _100689))), 1147 ^ _82167 : [(1148 ^ _82167) ^ [] : [_100685 = _100689], (1150 ^ _82167) ^ [] : [_100683 = _100689, _100683 = _100685], (1156 ^ _82167) ^ [] : [-(_100683 = _100689), -(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), _100683), _100685)), _100687)))]]], (1198 ^ _82167) ^ [_101557, _101559, _101561, _101563] : [-(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), _101557), _101559)), c_Arrow__Order__Mirabelle_Omktop(_101561, _101563)))), -(_101557 = _101563), 1205 ^ _82167 : [(1206 ^ _82167) ^ [] : [-(_101559 = _101563)], (1208 ^ _82167) ^ [] : [-(_101557 = _101559)]], 1209 ^ _82167 : [(1210 ^ _82167) ^ [] : [_101559 = _101563], (1212 ^ _82167) ^ [] : [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), _101557), _101559)), _101561))]]], (1180 ^ _82167) ^ [_101289, _101291, _101293, _101295] : [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), _101289), _101291)), c_Arrow__Order__Mirabelle_Omktop(_101293, _101295))), 1183 ^ _82167 : [(1184 ^ _82167) ^ [] : [_101289 = _101295], (1186 ^ _82167) ^ [] : [_101291 = _101295, _101289 = _101291], (1192 ^ _82167) ^ [] : [-(_101291 = _101295), -(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), _101289), _101291)), _101293)))]]], (1216 ^ _82167) ^ [_101886] : [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____, _101886))), -(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____, _101886))))], (1222 ^ _82167) ^ [_101977] : [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____, _101977))), -(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____, _101977))))], (1228 ^ _82167) ^ [] : [v_a_H____ = v_b_H____], (1230 ^ _82167) ^ [_102122, _102124, _102126, _102128, _102130] : [c_FunDef_Oin__rel(_102122, _102124, _102126, _102128, _102130), -(hBOOL(hAPP(hAPP(c_member(tc_prod(_102122, _102124)), hAPP(hAPP(c_Product__Type_OPair(_102122, _102124), _102128), _102130)), _102126)))], (1236 ^ _82167) ^ [_102245, _102247, _102249, _102251, _102253] : [hBOOL(hAPP(hAPP(c_member(tc_prod(_102245, _102247)), hAPP(hAPP(c_Product__Type_OPair(_102245, _102247), _102251), _102253)), _102249)), -(c_FunDef_Oin__rel(_102245, _102247, _102249, _102251, _102253))], (1242 ^ _82167) ^ [_102374, _102376, _102378, _102380, _102382, _102384, _102386] : [hBOOL(hAPP(_102374, _102376)), hBOOL(hAPP(hAPP(c_member(tc_prod(_102378, _102378)), hAPP(hAPP(c_Product__Type_OPair(_102378, _102378), _102380), _102382)), hAPP(_102384, _102376))), -(hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(_102386, _102378), tc_prod(_102386, _102378))), hAPP(hAPP(c_Product__Type_OPair(tc_prod(_102386, _102378), tc_prod(_102386, _102378)), hAPP(hAPP(c_Product__Type_OPair(_102386, _102378), _102376), _102380)), hAPP(hAPP(c_Product__Type_OPair(_102386, _102378), _102376), _102382))), c_Recdef_Osame__fst(_102386, _102378, _102374, _102384))))], (1252 ^ _82167) ^ [] : [-(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)))], (1254 ^ _82167) ^ [_102712, _102714] : [c_Nitpick_Orefl_H(_102712, _102714), 1257 ^ _82167 : [(1258 ^ _82167) ^ [_102790] : [-(hBOOL(hAPP(hAPP(c_member(tc_prod(_102712, _102712)), hAPP(hAPP(c_Product__Type_OPair(_102712, _102712), _102790), _102790)), _102714)))]]], (1260 ^ _82167) ^ [_102832, _102834] : [hBOOL(hAPP(hAPP(c_member(tc_prod(_102832, _102832)), hAPP(hAPP(c_Product__Type_OPair(_102832, _102832), 1261 ^ [_102832, _102834]), 1261 ^ [_102832, _102834])), _102834)), -(c_Nitpick_Orefl_H(_102832, _102834))], (1267 ^ _82167) ^ [_103017, _103019, _103021] : [hBOOL(hAPP(_103017, 1268 ^ [_103017, _103019, _103021])), 1271 ^ _82167 : [(1272 ^ _82167) ^ [_103128, _103130] : [-(hBOOL(hAPP(_103017, hAPP(hAPP(c_Product__Type_OPair(_103019, _103021), _103130), _103128))))]]], (1274 ^ _82167) ^ [_103164, _103166, _103168] : [hBOOL(hAPP(_103164, hAPP(hAPP(c_Product__Type_OPair(_103166, _103168), 1275 ^ [_103164, _103166, _103168]), 1276 ^ [_103164, _103166, _103168]))), 1279 ^ _82167 : [(1280 ^ _82167) ^ [_103311] : [-(hBOOL(hAPP(_103164, _103311)))]]], (1282 ^ _82167) ^ [_103369, _103371, _103373, _103375, _103377, _103379] : [hAPP(hAPP(c_Product__Type_OPair(_103369, _103371), _103373), _103375) = hAPP(hAPP(c_Product__Type_OPair(_103369, _103371), _103377), _103379), 1285 ^ _82167 : [(1286 ^ _82167) ^ [] : [-(_103373 = _103377)], (1288 ^ _82167) ^ [] : [-(_103375 = _103379)]]], (1290 ^ _82167) ^ [_103512, _103514, _103516, _103518, _103520, _103522] : [-(hAPP(hAPP(c_Product__Type_OPair(_103512, _103514), _103516), _103518) = hAPP(hAPP(c_Product__Type_OPair(_103512, _103514), _103520), _103522)), _103516 = _103520, _103518 = _103522], (1300 ^ _82167) ^ [_103695, _103697, _103699, _103701, _103703, _103705] : [hAPP(hAPP(c_Product__Type_OPair(_103695, _103697), _103699), _103701) = hAPP(hAPP(c_Product__Type_OPair(_103695, _103697), _103703), _103705), 1303 ^ _82167 : [(1304 ^ _82167) ^ [] : [-(_103699 = _103703)], (1306 ^ _82167) ^ [] : [-(_103701 = _103705)]]], (1308 ^ _82167) ^ [] : [-(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)))], (1310 ^ _82167) ^ [] : [-(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)))], (1312 ^ _82167) ^ [] : [-(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)))], (1314 ^ _82167) ^ [_103900, _103902] : [hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool)), _103900), 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(_103900, _103902)), c_Arrow__Order__Mirabelle_OLin)))], (1320 ^ _82167) ^ [_104003, _104005] : [hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool)), _104003), 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(_104003, _104005)), c_Arrow__Order__Mirabelle_OLin)))], (1326 ^ _82167) ^ [_104106, _104108, _104110] : [hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool)), _104106), 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), _104108), _104110)), _104106)), 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), _104110), _104108)), _104106))], (1336 ^ _82167) ^ [_104294, _104296, _104298] : [hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool)), _104294), c_Arrow__Order__Mirabelle_OLin)), -(_104296 = _104298), 1343 ^ _82167 : [(1344 ^ _82167) ^ [] : [-(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), _104296), _104298)), _104294))), -(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), _104298), _104296)), _104294)))], (1350 ^ _82167) ^ [] : [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), _104298), _104296)), _104294)), 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), _104296), _104298)), _104294))]]], (1356 ^ _82167) ^ [_104596, _104598, _104600, _104602] : [_104596 = _104598, hBOOL(hAPP(hAPP(c_member(_104600), _104598), _104602)), -(hBOOL(hAPP(hAPP(c_member(_104600), _104596), _104602)))], (1366 ^ _82167) ^ [_104761, _104763, _104765, _104767] : [_104761 = _104763, 1369 ^ _82167 : [(1370 ^ _82167) ^ [] : [hBOOL(hAPP(hAPP(c_member(_104765), _104761), _104767)), -(hBOOL(hAPP(hAPP(c_member(_104765), _104763), _104767)))], (1376 ^ _82167) ^ [] : [hBOOL(hAPP(hAPP(c_member(_104765), _104763), _104767)), -(hBOOL(hAPP(hAPP(c_member(_104765), _104761), _104767)))]]], (1382 ^ _82167) ^ [_105022, _105024, _105026, _105028] : [_105022 = _105024, 1385 ^ _82167 : [(1386 ^ _82167) ^ [] : [hBOOL(hAPP(hAPP(c_member(_105026), _105028), _105022)), -(hBOOL(hAPP(hAPP(c_member(_105026), _105028), _105024)))], (1392 ^ _82167) ^ [] : [hBOOL(hAPP(hAPP(c_member(_105026), _105028), _105024)), -(hBOOL(hAPP(hAPP(c_member(_105026), _105028), _105022)))]]], (1398 ^ _82167) ^ [_105301, _105303, _105305] : [hBOOL(hAPP(hAPP(c_member(_105301), _105303), _105305)), -(hBOOL(hAPP(_105305, _105303)))], (1404 ^ _82167) ^ [_105394, _105396, _105398] : [hBOOL(hAPP(_105398, _105396)), -(hBOOL(hAPP(hAPP(c_member(_105394), _105396), _105398)))], (1410 ^ _82167) ^ [_105492, _105494, _105496, _105498, _105500] : [-(_105492 = _105494), hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool)), _105496), c_Arrow__Order__Mirabelle_OLin)), 1417 ^ _82167 : [(1450 ^ _82167) ^ [] : [-(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), _105498), _105500)), c_Arrow__Order__Mirabelle_Obelow(_105496, _105492, _105494)))), -(_105498 = _105500), 1457 ^ _82167 : [(1458 ^ _82167) ^ [] : [-(_105500 = _105492)], (1460 ^ _82167) ^ [] : [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), _105498), _105494)), _105496))]], 1461 ^ _82167 : [(1462 ^ _82167) ^ [] : [_105500 = _105492], (1464 ^ _82167) ^ [] : [1465 ^ _82167 : [(1466 ^ _82167) ^ [] : [-(_105498 = _105492)], (1468 ^ _82167) ^ [] : [_105500 = _105494], (1470 ^ _82167) ^ [] : [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), _105494), _105500)), _105496))]], 1471 ^ _82167 : [(1472 ^ _82167) ^ [] : [_105498 = _105492], (1474 ^ _82167) ^ [] : [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), _105498), _105500)), _105496))]]]]], (1418 ^ _82167) ^ [] : [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), _105498), _105500)), c_Arrow__Order__Mirabelle_Obelow(_105496, _105492, _105494))), 1421 ^ _82167 : [(1422 ^ _82167) ^ [] : [_105498 = _105500], (1424 ^ _82167) ^ [] : [_105500 = _105492, -(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), _105498), _105494)), _105496)))], (1430 ^ _82167) ^ [] : [-(_105500 = _105492), 1433 ^ _82167 : [(1444 ^ _82167) ^ [] : [-(_105498 = _105492), -(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), _105498), _105500)), _105496)))], (1434 ^ _82167) ^ [] : [_105498 = _105492, -(_105500 = _105494), -(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), _105494), _105500)), _105496)))]]]]]]], (1478 ^ _82167) ^ [_106534, _106536, _106538, _106540, _106542] : [-(_106534 = _106536), hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool)), _106538), c_Arrow__Order__Mirabelle_OLin)), 1485 ^ _82167 : [(1518 ^ _82167) ^ [] : [-(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), _106540), _106542)), hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Oabove, _106538), _106534), _106536)))), -(_106540 = _106542), 1525 ^ _82167 : [(1526 ^ _82167) ^ [] : [-(_106540 = _106536)], (1528 ^ _82167) ^ [] : [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), _106534), _106542)), _106538))]], 1529 ^ _82167 : [(1530 ^ _82167) ^ [] : [_106540 = _106536], (1532 ^ _82167) ^ [] : [1533 ^ _82167 : [(1534 ^ _82167) ^ [] : [-(_106542 = _106536)], (1536 ^ _82167) ^ [] : [_106540 = _106534], (1538 ^ _82167) ^ [] : [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), _106540), _106534)), _106538))]], 1539 ^ _82167 : [(1540 ^ _82167) ^ [] : [_106542 = _106536], (1542 ^ _82167) ^ [] : [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), _106540), _106542)), _106538))]]]]], (1486 ^ _82167) ^ [] : [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), _106540), _106542)), hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Oabove, _106538), _106534), _106536))), 1489 ^ _82167 : [(1490 ^ _82167) ^ [] : [_106540 = _106542], (1492 ^ _82167) ^ [] : [_106540 = _106536, -(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), _106534), _106542)), _106538)))], (1498 ^ _82167) ^ [] : [-(_106540 = _106536), 1501 ^ _82167 : [(1512 ^ _82167) ^ [] : [-(_106542 = _106536), -(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), _106540), _106542)), _106538)))], (1502 ^ _82167) ^ [] : [_106542 = _106536, -(_106540 = _106534), -(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), _106540), _106534)), _106538)))]]]]]]], (1546 ^ _82167) ^ [_107592] : [-(hAPP(v_Q____, _107592) = 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____, _107592)), c_Arrow__Order__Mirabelle_Obelow(hAPP(v_P____, _107592), 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____))))], (1548 ^ _82167) ^ [_107639, _107641, _107643, _107645, _107647, _107649] : [-(c_Product__Type_Oprod_Oprod__rec(_107639, _107641, _107643, _107645, hAPP(hAPP(c_Product__Type_OPair(_107639, _107641), _107647), _107649)) = hAPP(hAPP(_107645, _107647), _107649))], (1550 ^ _82167) ^ [_107692, _107694, _107696] : [-(_107692 = _107694), hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool)), _107696), 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, _107696), _107692), _107694)), c_Arrow__Order__Mirabelle_OLin)))], (1560 ^ _82167) ^ [_107860, _107862, _107864] : [-(_107860 = _107862), hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool)), _107864), 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(_107864, _107860, _107862)), c_Arrow__Order__Mirabelle_OLin)))], (1570 ^ _82167) ^ [_108031] : [c_Arrow__Order__Mirabelle_OIIA(_108031), 1573 ^ _82167 : [(1574 ^ _82167) ^ [_108200] : [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))), _108200), c_Arrow__Order__Mirabelle_OProf)), 1577 ^ _82167 : [(1578 ^ _82167) ^ [_108367] : [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))), _108367), c_Arrow__Order__Mirabelle_OProf)), 1581 ^ _82167 : [(1582 ^ _82167) ^ [_108520, _108522] : [1586 ^ _82167 : [(1587 ^ _82167) ^ [] : [-(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), _108522), _108520)), hAPP(_108200, 1583 ^ [_108031, _108200, _108367, _108520, _108522]))))], (1589 ^ _82167) ^ [] : [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), _108522), _108520)), hAPP(_108367, 1583 ^ [_108031, _108200, _108367, _108520, _108522])))]], 1590 ^ _82167 : [(1591 ^ _82167) ^ [] : [-(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), _108522), _108520)), hAPP(_108367, 1583 ^ [_108031, _108200, _108367, _108520, _108522]))))], (1593 ^ _82167) ^ [] : [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), _108522), _108520)), hAPP(_108200, 1583 ^ [_108031, _108200, _108367, _108520, _108522])))]], 1594 ^ _82167 : [(1595 ^ _82167) ^ [] : [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), _108522), _108520)), hAPP(_108031, _108200))), -(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), _108522), _108520)), hAPP(_108031, _108367))))], (1601 ^ _82167) ^ [] : [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), _108522), _108520)), hAPP(_108031, _108367))), -(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), _108522), _108520)), hAPP(_108031, _108200))))]]]]]]]]], (1607 ^ _82167) ^ [_109146] : [-(c_Arrow__Order__Mirabelle_OIIA(_109146)), 1609 ^ _82167 : [(1610 ^ _82167) ^ [] : [-(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))), 1608 ^ [_109146]), c_Arrow__Order__Mirabelle_OProf)))], (1613 ^ _82167) ^ [] : [-(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))), 1611 ^ [_109146]), c_Arrow__Order__Mirabelle_OProf)))], (1629 ^ _82167) ^ [] : [1630 ^ _82167 : [(1631 ^ _82167) ^ [] : [-(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), 1614 ^ [_109146]), 1615 ^ [_109146])), hAPP(_109146, 1608 ^ [_109146]))))], (1633 ^ _82167) ^ [] : [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), 1614 ^ [_109146]), 1615 ^ [_109146])), hAPP(_109146, 1611 ^ [_109146])))]], 1634 ^ _82167 : [(1635 ^ _82167) ^ [] : [-(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), 1614 ^ [_109146]), 1615 ^ [_109146])), hAPP(_109146, 1611 ^ [_109146]))))], (1637 ^ _82167) ^ [] : [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), 1614 ^ [_109146]), 1615 ^ [_109146])), hAPP(_109146, 1608 ^ [_109146])))]]], (1617 ^ _82167) ^ [_109718] : [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), 1614 ^ [_109146]), 1615 ^ [_109146])), hAPP(1608 ^ [_109146], _109718))), -(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), 1614 ^ [_109146]), 1615 ^ [_109146])), hAPP(1611 ^ [_109146], _109718))))], (1623 ^ _82167) ^ [_109907] : [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), 1614 ^ [_109146]), 1615 ^ [_109146])), hAPP(1611 ^ [_109146], _109907))), -(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), 1614 ^ [_109146]), 1615 ^ [_109146])), hAPP(1608 ^ [_109146], _109907))))]]], (1656 ^ _82167) ^ [_110798] : [1658 ^ _82167 : [(1659 ^ _82167) ^ [] : [-(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))), 1657 ^ [_110798]), c_Arrow__Order__Mirabelle_OProf)))], (1663 ^ _82167) ^ [_111016] : [-(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), 1660 ^ [_110798]), 1661 ^ [_110798])), hAPP(1657 ^ [_110798], _111016))))], (1665 ^ _82167) ^ [] : [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), 1660 ^ [_110798]), 1661 ^ [_110798])), hAPP(_110798, 1657 ^ [_110798])))]], -(c_Arrow__Order__Mirabelle_Ounanimity(_110798))], (1641 ^ _82167) ^ [_110387] : [c_Arrow__Order__Mirabelle_Ounanimity(_110387), 1644 ^ _82167 : [(1645 ^ _82167) ^ [_110500] : [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))), _110500), c_Arrow__Order__Mirabelle_OProf)), 1648 ^ _82167 : [(1649 ^ _82167) ^ [_110611, _110613] : [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), _110613), _110611)), hAPP(_110500, 1650 ^ [_110387, _110500, _110611, _110613]))), -(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), _110613), _110611)), hAPP(_110387, _110500))))]]]]], (1669 ^ _82167) ^ [_111183, _111185, _111187, _111189, _111191, _111193, _111195, _111197] : [hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(_111183, _111185), tc_prod(_111183, _111185))), hAPP(hAPP(c_Product__Type_OPair(tc_prod(_111183, _111185), tc_prod(_111183, _111185)), hAPP(hAPP(c_Product__Type_OPair(_111183, _111185), _111187), _111189)), hAPP(hAPP(c_Product__Type_OPair(_111183, _111185), _111191), _111193))), c_Wellfounded_Olex__prod(_111183, _111185, _111195, _111197))), -(hBOOL(hAPP(hAPP(c_member(tc_prod(_111183, _111183)), hAPP(hAPP(c_Product__Type_OPair(_111183, _111183), _111187), _111191)), _111195))), 1676 ^ _82167 : [(1677 ^ _82167) ^ [] : [-(_111187 = _111191)], (1679 ^ _82167) ^ [] : [-(hBOOL(hAPP(hAPP(c_member(tc_prod(_111185, _111185)), hAPP(hAPP(c_Product__Type_OPair(_111185, _111185), _111189), _111193)), _111197)))]]], (1681 ^ _82167) ^ [_111508, _111510, _111512, _111514, _111516, _111518, _111520, _111522] : [-(hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(_111508, _111510), tc_prod(_111508, _111510))), hAPP(hAPP(c_Product__Type_OPair(tc_prod(_111508, _111510), tc_prod(_111508, _111510)), hAPP(hAPP(c_Product__Type_OPair(_111508, _111510), _111512), _111514)), hAPP(hAPP(c_Product__Type_OPair(_111508, _111510), _111516), _111518))), c_Wellfounded_Olex__prod(_111508, _111510, _111520, _111522)))), 1682 ^ _82167 : [(1683 ^ _82167) ^ [] : [hBOOL(hAPP(hAPP(c_member(tc_prod(_111508, _111508)), hAPP(hAPP(c_Product__Type_OPair(_111508, _111508), _111512), _111516)), _111520))], (1685 ^ _82167) ^ [] : [_111512 = _111516, hBOOL(hAPP(hAPP(c_member(tc_prod(_111510, _111510)), hAPP(hAPP(c_Product__Type_OPair(_111510, _111510), _111514), _111518)), _111522))]]], (1703 ^ _82167) ^ [_112073, _112075] : [1705 ^ _82167 : [(1706 ^ _82167) ^ [] : [-(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))), 1704 ^ [_112073, _112075]), c_Arrow__Order__Mirabelle_OProf)))], (1708 ^ _82167) ^ [] : [hAPP(_112073, 1704 ^ [_112073, _112075]) = hAPP(1704 ^ [_112073, _112075], _112075)]], -(c_Arrow__Order__Mirabelle_Odictator(_112073, _112075))], (1693 ^ _82167) ^ [_111898, _111900] : [c_Arrow__Order__Mirabelle_Odictator(_111898, _111900), 1696 ^ _82167 : [(1697 ^ _82167) ^ [_111972] : [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))), _111972), c_Arrow__Order__Mirabelle_OProf)), -(hAPP(_111898, _111972) = hAPP(_111972, _111900))]]], (1712 ^ _82167) ^ [_112250, _112252, _112254, _112256, _112258, _112260] : [-(c_Product__Type_Ointernal__split(_112250, _112252, _112254, _112256, hAPP(hAPP(c_Product__Type_OPair(_112250, _112252), _112258), _112260)) = hAPP(hAPP(_112256, _112258), _112260))], (1714 ^ _82167) ^ [] : [-(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)))))], (1716 ^ _82167) ^ [_112322] : [hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool)), _112322), 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, _112322)), c_Arrow__Order__Mirabelle_OProf)))], (1722 ^ _82167) ^ [_112446, _112448, _112450, _112452] : [hAPP(hAPP(c_COMBC(_112446, tc_fun(tc_prod(_112446, _112448), tc_HOL_Obool), tc_fun(_112448, tc_HOL_Obool)), hAPP(c_COMBB(tc_fun(_112448, tc_fun(tc_fun(tc_prod(_112446, _112448), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_112446, _112448), tc_HOL_Obool), tc_fun(_112448, tc_HOL_Obool)), _112446, c_COMBC(_112448, tc_fun(tc_prod(_112446, _112448), tc_HOL_Obool), tc_HOL_Obool)), hAPP(c_COMBB(tc_fun(_112448, tc_prod(_112446, _112448)), tc_fun(_112448, tc_fun(tc_fun(tc_prod(_112446, _112448), tc_HOL_Obool), tc_HOL_Obool)), _112446, c_COMBB(tc_prod(_112446, _112448), tc_fun(tc_fun(tc_prod(_112446, _112448), tc_HOL_Obool), tc_HOL_Obool), _112448, c_member(tc_prod(_112446, _112448)))), c_Product__Type_OPair(_112446, _112448)))), _112450) = hAPP(hAPP(c_COMBC(_112446, tc_fun(tc_prod(_112446, _112448), tc_HOL_Obool), tc_fun(_112448, tc_HOL_Obool)), hAPP(c_COMBB(tc_fun(_112448, tc_fun(tc_fun(tc_prod(_112446, _112448), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_112446, _112448), tc_HOL_Obool), tc_fun(_112448, tc_HOL_Obool)), _112446, c_COMBC(_112448, tc_fun(tc_prod(_112446, _112448), tc_HOL_Obool), tc_HOL_Obool)), hAPP(c_COMBB(tc_fun(_112448, tc_prod(_112446, _112448)), tc_fun(_112448, tc_fun(tc_fun(tc_prod(_112446, _112448), tc_HOL_Obool), tc_HOL_Obool)), _112446, c_COMBB(tc_prod(_112446, _112448), tc_fun(tc_fun(tc_prod(_112446, _112448), tc_HOL_Obool), tc_HOL_Obool), _112448, c_member(tc_prod(_112446, _112448)))), c_Product__Type_OPair(_112446, _112448)))), _112452), -(_112450 = _112452)], (1728 ^ _82167) ^ [_112971, _112973, _112975, _112977] : [_112975 = _112977, -(hAPP(hAPP(c_COMBC(_112971, tc_fun(tc_prod(_112971, _112973), tc_HOL_Obool), tc_fun(_112973, tc_HOL_Obool)), hAPP(c_COMBB(tc_fun(_112973, tc_fun(tc_fun(tc_prod(_112971, _112973), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_112971, _112973), tc_HOL_Obool), tc_fun(_112973, tc_HOL_Obool)), _112971, c_COMBC(_112973, tc_fun(tc_prod(_112971, _112973), tc_HOL_Obool), tc_HOL_Obool)), hAPP(c_COMBB(tc_fun(_112973, tc_prod(_112971, _112973)), tc_fun(_112973, tc_fun(tc_fun(tc_prod(_112971, _112973), tc_HOL_Obool), tc_HOL_Obool)), _112971, c_COMBB(tc_prod(_112971, _112973), tc_fun(tc_fun(tc_prod(_112971, _112973), tc_HOL_Obool), tc_HOL_Obool), _112973, c_member(tc_prod(_112971, _112973)))), c_Product__Type_OPair(_112971, _112973)))), _112975) = hAPP(hAPP(c_COMBC(_112971, tc_fun(tc_prod(_112971, _112973), tc_HOL_Obool), tc_fun(_112973, tc_HOL_Obool)), hAPP(c_COMBB(tc_fun(_112973, tc_fun(tc_fun(tc_prod(_112971, _112973), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_112971, _112973), tc_HOL_Obool), tc_fun(_112973, tc_HOL_Obool)), _112971, c_COMBC(_112973, tc_fun(tc_prod(_112971, _112973), tc_HOL_Obool), tc_HOL_Obool)), hAPP(c_COMBB(tc_fun(_112973, tc_prod(_112971, _112973)), tc_fun(_112973, tc_fun(tc_fun(tc_prod(_112971, _112973), tc_HOL_Obool), tc_HOL_Obool)), _112971, c_COMBB(tc_prod(_112971, _112973), tc_fun(tc_fun(tc_prod(_112971, _112973), tc_HOL_Obool), tc_HOL_Obool), _112973, c_member(tc_prod(_112971, _112973)))), c_Product__Type_OPair(_112971, _112973)))), _112977))], (1734 ^ _82167) ^ [_113520, _113522, _113524] : [hAPP(hAPP(c_COMBC(_113520, tc_fun(_113520, tc_HOL_Obool), tc_HOL_Obool), c_member(_113520)), _113522) = hAPP(hAPP(c_COMBC(_113520, tc_fun(_113520, tc_HOL_Obool), tc_HOL_Obool), c_member(_113520)), _113524), -(_113522 = _113524)], (1740 ^ _82167) ^ [_113655, _113657, _113659] : [_113657 = _113659, -(hAPP(hAPP(c_COMBC(_113655, tc_fun(_113655, tc_HOL_Obool), tc_HOL_Obool), c_member(_113655)), _113657) = hAPP(hAPP(c_COMBC(_113655, tc_fun(_113655, tc_HOL_Obool), tc_HOL_Obool), c_member(_113655)), _113659))], (1746 ^ _82167) ^ [_113792, _113794] : [-(_113792 = _113794), 1750 ^ _82167 : [(1751 ^ _82167) ^ [] : [-(hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool)), 1749 ^ [_113792, _113794]), c_Arrow__Order__Mirabelle_OLin)))], (1753 ^ _82167) ^ [] : [-(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), _113792), _113794)), 1749 ^ [_113792, _113794])))]]], (1755 ^ _82167) ^ [_113895, _113897, _113899, _113901, _113903, _113905] : [-(c_Product__Type_Ocurry(_113895, _113897, _113899, _113901, _113903, _113905) = hAPP(_113901, hAPP(hAPP(c_Product__Type_OPair(_113895, _113897), _113903), _113905)))], (1757 ^ _82167) ^ [_113947, _113949] : [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))), _113947), 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)))), 1763 ^ _82167 : [(1764 ^ _82167) ^ [] : [-(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))), 1762 ^ [_113947, _113949]), c_Arrow__Order__Mirabelle_OProf)))], (1768 ^ _82167) ^ [] : [1765 ^ [_113947, _113949] = 1766 ^ [_113947, _113949]], (1770 ^ _82167) ^ [] : [-(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), 1765 ^ [_113947, _113949]), 1766 ^ [_113947, _113949])), hAPP(1762 ^ [_113947, _113949], _113949))))], (1772 ^ _82167) ^ [] : [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), 1765 ^ [_113947, _113949]), 1766 ^ [_113947, _113949])), hAPP(_113947, 1762 ^ [_113947, _113949])))]], -(c_Arrow__Order__Mirabelle_Odictator(_113947, _113949))], (1786 ^ _82167) ^ [_114748, _114750, _114752] : [1788 ^ _82167 : [(1789 ^ _82167) ^ [] : [-(hBOOL(hAPP(hAPP(c_member(tc_prod(_114748, _114748)), hAPP(hAPP(c_Product__Type_OPair(_114748, _114748), 1787 ^ [_114748, _114750, _114752]), _114750)), _114752)))], (1791 ^ _82167) ^ [] : [hBOOL(hAPP(hAPP(c_member(_114748), 1787 ^ [_114748, _114750, _114752]), c_Wellfounded_Oacc(_114748, _114752)))]], -(hBOOL(hAPP(hAPP(c_member(_114748), _114750), c_Wellfounded_Oacc(_114748, _114752))))], (1776 ^ _82167) ^ [_114495, _114497, _114499] : [hBOOL(hAPP(hAPP(c_member(_114495), _114497), c_Wellfounded_Oacc(_114495, _114499))), 1779 ^ _82167 : [(1780 ^ _82167) ^ [_114609] : [hBOOL(hAPP(hAPP(c_member(tc_prod(_114495, _114495)), hAPP(hAPP(c_Product__Type_OPair(_114495, _114495), _114609), _114497)), _114499)), -(hBOOL(hAPP(hAPP(c_member(_114495), _114609), c_Wellfounded_Oacc(_114495, _114499))))]]], (1795 ^ _82167) ^ [_114988, _114990, _114992, _114994] : [hBOOL(hAPP(hAPP(c_member(_114988), _114990), c_Wellfounded_Oacc(_114988, _114992))), hBOOL(hAPP(hAPP(c_member(tc_prod(_114988, _114988)), hAPP(hAPP(c_Product__Type_OPair(_114988, _114988), _114994), _114990)), _114992)), -(hBOOL(hAPP(hAPP(c_member(_114988), _114994), c_Wellfounded_Oacc(_114988, _114992))))], (1805 ^ _82167) ^ [_115230, _115232, _115234, _115236, _115238, _115240] : [c_Recdef_Owfrec__rel(_115230, _115232, _115234, _115236, _115238, hAPP(hAPP(_115236, _115240), _115238)), 1809 ^ _82167 : [(1810 ^ _82167) ^ [] : [-(hAPP(hAPP(_115236, _115240), _115238) = hAPP(hAPP(_115236, 1808 ^ [_115230, _115232, _115234, _115236, _115238, _115240]), _115238))], (1812 ^ _82167) ^ [_115476] : [hBOOL(hAPP(hAPP(c_member(tc_prod(_115230, _115230)), hAPP(hAPP(c_Product__Type_OPair(_115230, _115230), _115476), _115238)), _115234)), -(c_Recdef_Owfrec__rel(_115230, _115232, _115234, _115236, _115476, hAPP(1808 ^ [_115230, _115232, _115234, _115236, _115238, _115240], _115476)))]]], (1818 ^ _82167) ^ [_115647, _115649, _115651, _115653, _115655, _115657] : [-(c_Recdef_Owfrec__rel(_115647, _115649, _115651, _115653, _115655, hAPP(hAPP(_115653, _115657), _115655))), 1819 ^ _82167 : [(1820 ^ _82167) ^ [_115754] : [hAPP(hAPP(_115653, _115657), _115655) = hAPP(hAPP(_115653, _115754), _115655), 1824 ^ _82167 : [(1825 ^ _82167) ^ [] : [-(hBOOL(hAPP(hAPP(c_member(tc_prod(_115647, _115647)), hAPP(hAPP(c_Product__Type_OPair(_115647, _115647), 1823 ^ [_115647, _115649, _115651, _115653, _115655, _115657, _115754]), _115655)), _115651)))], (1827 ^ _82167) ^ [] : [c_Recdef_Owfrec__rel(_115647, _115649, _115651, _115653, 1823 ^ [_115647, _115649, _115651, _115653, _115655, _115657, _115754], hAPP(_115754, 1823 ^ [_115647, _115649, _115651, _115653, _115655, _115657, _115754]))]]]]], (1831 ^ _82167) ^ [_116075, _116077, _116079, _116081, _116083] : [hBOOL(hAPP(_116075, hAPP(hAPP(c_Product__Type_OPair(_116077, _116079), _116081), _116083))), -(hBOOL(c_Product__Type_Ocurry(_116077, _116079, tc_HOL_Obool, _116075, _116081, _116083)))], (1837 ^ _82167) ^ [_116192, _116194, _116196, _116198, _116200, _116202] : [hBOOL(hAPP(hAPP(c_member(tc_prod(_116196, _116196)), hAPP(hAPP(c_Product__Type_OPair(_116196, _116196), _116198), _116200)), _116192)), -(hAPP(hAPP(hAPP(hAPP(c_Recdef_Ocut(_116196, _116202), _116194), _116192), _116200), _116198) = hAPP(_116194, _116198))], (1843 ^ _82167) ^ [_116351, _116353, _116355, _116357, _116359] : [hBOOL(c_Product__Type_Ocurry(_116351, _116353, tc_HOL_Obool, _116355, _116357, _116359)), -(hBOOL(hAPP(_116355, hAPP(hAPP(c_Product__Type_OPair(_116351, _116353), _116357), _116359))))], (1849 ^ _82167) ^ [_116468, _116470, _116472, _116474, _116476] : [hBOOL(c_Product__Type_Ocurry(_116468, _116470, tc_HOL_Obool, _116472, _116474, _116476)), -(hBOOL(hAPP(_116472, hAPP(hAPP(c_Product__Type_OPair(_116468, _116470), _116474), _116476))))], (1855 ^ _82167) ^ [_116585, _116587, _116589, _116591, _116593, _116595] : [-(c_Product__Type_Ocurry(_116585, _116587, _116589, _116591, _116593, _116595) = hAPP(_116591, hAPP(hAPP(c_Product__Type_OPair(_116585, _116587), _116593), _116595)))], (1857 ^ _82167) ^ [_116655, _116657, _116659] : [hBOOL(hAPP(hAPP(c_member(_116655), _116657), hAPP(c_fequal, _116659))), -(_116657 = _116659)], (1863 ^ _82167) ^ [_116750, _116752, _116754] : [_116752 = _116754, -(hBOOL(hAPP(hAPP(c_member(_116750), _116752), hAPP(c_fequal, _116754))))], (1869 ^ _82167) ^ [_116851, _116853, _116855, _116857, _116859, _116861] : [hBOOL(hAPP(hAPP(c_member(tc_prod(_116851, _116851)), hAPP(hAPP(c_Product__Type_OPair(_116851, _116851), _116853), _116855)), _116857)), -(hAPP(hAPP(hAPP(hAPP(c_Recdef_Ocut(_116851, _116859), _116861), _116857), _116855), _116853) = hAPP(_116861, _116853))], (1885 ^ _82167) ^ [_117318, _117320, _117322, _117324, _117326, _117328] : [1887 ^ _82167 : [(1888 ^ _82167) ^ [] : [-(hBOOL(hAPP(hAPP(c_member(tc_prod(_117318, _117318)), hAPP(hAPP(c_Product__Type_OPair(_117318, _117318), 1886 ^ [_117318, _117320, _117322, _117324, _117326, _117328]), _117326)), _117324)))], (1890 ^ _82167) ^ [] : [hAPP(_117322, 1886 ^ [_117318, _117320, _117322, _117324, _117326, _117328]) = hAPP(_117328, 1886 ^ [_117318, _117320, _117322, _117324, _117326, _117328])]], -(hAPP(hAPP(hAPP(c_Recdef_Ocut(_117318, _117320), _117322), _117324), _117326) = hAPP(hAPP(hAPP(c_Recdef_Ocut(_117318, _117320), _117328), _117324), _117326))], (1875 ^ _82167) ^ [_117037, _117039, _117041, _117043, _117045, _117047] : [hAPP(hAPP(hAPP(c_Recdef_Ocut(_117037, _117039), _117041), _117043), _117045) = hAPP(hAPP(hAPP(c_Recdef_Ocut(_117037, _117039), _117047), _117043), _117045), 1878 ^ _82167 : [(1879 ^ _82167) ^ [_117181] : [hBOOL(hAPP(hAPP(c_member(tc_prod(_117037, _117037)), hAPP(hAPP(c_Product__Type_OPair(_117037, _117037), _117181), _117045)), _117043)), -(hAPP(_117041, _117181) = hAPP(_117047, _117181))]]], (1894 ^ _82167) ^ [_117611, _117613, _117615, _117617, _117619, _117621] : [hBOOL(hAPP(hAPP(c_member(tc_fun(_117611, _117613)), _117615), c_FuncSet_OPi(_117611, _117613, _117617, _117619))), -(hBOOL(hAPP(hAPP(c_member(_117613), hAPP(_117615, _117621)), hAPP(_117619, _117621)))), hBOOL(hAPP(hAPP(c_member(_117611), _117621), _117617))], (1904 ^ _82167) ^ [_117830, _117832, _117834, _117836, _117838, _117840] : [hBOOL(hAPP(hAPP(c_member(tc_fun(_117830, _117832)), _117834), c_FuncSet_OPi(_117830, _117832, _117836, c_COMBK(tc_fun(_117832, tc_HOL_Obool), _117830, _117838)))), hBOOL(hAPP(hAPP(c_member(_117830), _117840), _117836)), -(hBOOL(hAPP(hAPP(c_member(_117832), hAPP(_117834, _117840)), _117838)))], (1914 ^ _82167) ^ [_118053, _118055, _118057, _118059, _118061, _118063] : [hBOOL(hAPP(hAPP(c_member(tc_fun(_118053, _118055)), _118057), c_FuncSet_OPi(_118053, _118055, _118059, _118061))), hBOOL(hAPP(hAPP(c_member(_118053), _118063), _118059)), -(hBOOL(hAPP(hAPP(c_member(_118055), hAPP(_118057, _118063)), hAPP(_118061, _118063))))], (1924 ^ _82167) ^ [_118268, _118270] : [-(hBOOL(hAPP(hAPP(c_member(tc_fun(_118268, _118268)), c_COMBI(_118268)), c_FuncSet_OPi(_118268, _118268, _118270, c_COMBK(tc_fun(_118268, tc_HOL_Obool), _118268, _118270)))))], (1926 ^ _82167) ^ [_118317, _118319, _118321, _118323] : [-(c_Recdef_Oadm__wf(_118317, _118319, _118321, hAPP(hAPP(c_COMBC(tc_fun(_118317, _118319), tc_fun(_118317, _118317), tc_fun(_118317, _118319)), hAPP(c_COMBB(tc_fun(_118317, tc_fun(_118317, _118319)), tc_fun(tc_fun(_118317, _118317), tc_fun(_118317, _118319)), tc_fun(_118317, _118319), c_COMBS(_118317, _118317, _118319)), hAPP(c_COMBB(tc_fun(_118317, tc_fun(_118317, _118319)), tc_fun(_118317, tc_fun(_118317, _118319)), tc_fun(_118317, _118319), c_COMBB(tc_fun(_118317, _118319), tc_fun(_118317, _118319), _118317, _118323)), hAPP(hAPP(c_COMBC(tc_fun(_118317, _118319), tc_fun(tc_prod(_118317, _118317), tc_HOL_Obool), tc_fun(_118317, tc_fun(_118317, _118319))), c_Recdef_Ocut(_118317, _118319)), _118321)))), c_COMBI(_118317))))], (1928 ^ _82167) ^ [_118479, _118481, _118483] : [hBOOL(hAPP(c_Wellfounded_Oaccp(_118479, hAPP(hAPP(c_COMBC(_118479, tc_fun(tc_prod(_118479, _118479), tc_HOL_Obool), tc_fun(_118479, tc_HOL_Obool)), hAPP(c_COMBB(tc_fun(_118479, tc_fun(tc_fun(tc_prod(_118479, _118479), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_118479, _118479), tc_HOL_Obool), tc_fun(_118479, tc_HOL_Obool)), _118479, c_COMBC(_118479, tc_fun(tc_prod(_118479, _118479), tc_HOL_Obool), tc_HOL_Obool)), hAPP(c_COMBB(tc_fun(_118479, tc_prod(_118479, _118479)), tc_fun(_118479, tc_fun(tc_fun(tc_prod(_118479, _118479), tc_HOL_Obool), tc_HOL_Obool)), _118479, c_COMBB(tc_prod(_118479, _118479), tc_fun(tc_fun(tc_prod(_118479, _118479), tc_HOL_Obool), tc_HOL_Obool), _118479, c_member(tc_prod(_118479, _118479)))), c_Product__Type_OPair(_118479, _118479)))), _118481)), _118483)), -(hBOOL(hAPP(hAPP(c_member(_118479), _118483), c_Wellfounded_Oacc(_118479, _118481))))], (1934 ^ _82167) ^ [_118808, _118810, _118812] : [hBOOL(hAPP(hAPP(c_member(_118808), _118812), c_Wellfounded_Oacc(_118808, _118810))), -(hBOOL(hAPP(c_Wellfounded_Oaccp(_118808, hAPP(hAPP(c_COMBC(_118808, tc_fun(tc_prod(_118808, _118808), tc_HOL_Obool), tc_fun(_118808, tc_HOL_Obool)), hAPP(c_COMBB(tc_fun(_118808, tc_fun(tc_fun(tc_prod(_118808, _118808), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_118808, _118808), tc_HOL_Obool), tc_fun(_118808, tc_HOL_Obool)), _118808, c_COMBC(_118808, tc_fun(tc_prod(_118808, _118808), tc_HOL_Obool), tc_HOL_Obool)), hAPP(c_COMBB(tc_fun(_118808, tc_prod(_118808, _118808)), tc_fun(_118808, tc_fun(tc_fun(tc_prod(_118808, _118808), tc_HOL_Obool), tc_HOL_Obool)), _118808, c_COMBB(tc_prod(_118808, _118808), tc_fun(tc_fun(tc_prod(_118808, _118808), tc_HOL_Obool), tc_HOL_Obool), _118808, c_member(tc_prod(_118808, _118808)))), c_Product__Type_OPair(_118808, _118808)))), _118810)), _118812)))], (1940 ^ _82167) ^ [_119142, _119144, _119146] : [-(hBOOL(hAPP(hAPP(c_member(_119142), _119144), c_Wellfounded_Oacc(_119142, _119146)))), 1944 ^ _82167 : [(1945 ^ _82167) ^ [] : [-(hBOOL(hAPP(hAPP(c_member(tc_prod(_119142, _119142)), hAPP(hAPP(c_Product__Type_OPair(_119142, _119142), 1943 ^ [_119142, _119144, _119146]), _119144)), _119146)))], (1947 ^ _82167) ^ [] : [hBOOL(hAPP(hAPP(c_member(_119142), 1943 ^ [_119142, _119144, _119146]), c_Wellfounded_Oacc(_119142, _119146)))]]], (1949 ^ _82167) ^ [_119369, _119371, _119373] : [1951 ^ _82167 : [(1952 ^ _82167) ^ [] : [-(hBOOL(hAPP(hAPP(c_member(tc_prod(_119369, _119369)), hAPP(hAPP(c_Product__Type_OPair(_119369, _119369), 1950 ^ [_119369, _119371, _119373]), _119371)), _119373)))], (1954 ^ _82167) ^ [] : [hBOOL(hAPP(hAPP(c_member(_119369), 1950 ^ [_119369, _119371, _119373]), c_Wellfounded_Oacc(_119369, _119373)))]], -(hBOOL(hAPP(hAPP(c_member(_119369), _119371), c_Wellfounded_Oacc(_119369, _119373))))], (1958 ^ _82167) ^ [_119628, _119630, _119632, _119634, _119636, _119638] : [hBOOL(hAPP(hAPP(c_member(tc_prod(_119628, _119628)), hAPP(hAPP(c_Product__Type_OPair(_119628, _119628), _119630), _119632)), _119634)), -(hAPP(hAPP(hAPP(hAPP(c_Recdef_Ocut(_119628, _119636), _119638), _119634), _119632), _119630) = hAPP(_119638, _119630))], (1964 ^ _82167) ^ [_119781, _119783, _119785, _119787, _119789, _119791] : [-(hBOOL(hAPP(hAPP(c_member(tc_prod(_119781, _119781)), hAPP(hAPP(c_Product__Type_OPair(_119781, _119781), _119783), _119785)), _119787))), -(hAPP(hAPP(hAPP(hAPP(c_Recdef_Ocut(_119781, _119789), _119791), _119787), _119785), _119783) = c_HOL_Oundefined(_119789))], (1980 ^ _82167) ^ [_120067, _120069, _120071] : [1982 ^ _82167 : [(1983 ^ _82167) ^ [] : [-(hBOOL(hAPP(hAPP(_120069, 1981 ^ [_120067, _120069, _120071]), _120071)))], (1985 ^ _82167) ^ [] : [hBOOL(hAPP(c_Wellfounded_Oaccp(_120067, _120069), 1981 ^ [_120067, _120069, _120071]))]], -(hBOOL(hAPP(c_Wellfounded_Oaccp(_120067, _120069), _120071)))], (1970 ^ _82167) ^ [_119881, _119883, _119885] : [hBOOL(hAPP(c_Wellfounded_Oaccp(_119881, _119883), _119885)), 1973 ^ _82167 : [(1974 ^ _82167) ^ [_119966] : [hBOOL(hAPP(hAPP(_119883, _119966), _119885)), -(hBOOL(hAPP(c_Wellfounded_Oaccp(_119881, _119883), _119966)))]]], (1999 ^ _82167) ^ [_120457, _120459, _120461] : [2001 ^ _82167 : [(2002 ^ _82167) ^ [] : [-(hBOOL(hAPP(hAPP(_120459, 2000 ^ [_120457, _120459, _120461]), _120461)))], (2004 ^ _82167) ^ [] : [hBOOL(hAPP(c_Wellfounded_Oaccp(_120457, _120459), 2000 ^ [_120457, _120459, _120461]))]], -(hBOOL(hAPP(c_Wellfounded_Oaccp(_120457, _120459), _120461)))], (1989 ^ _82167) ^ [_120271, _120273, _120275] : [hBOOL(hAPP(c_Wellfounded_Oaccp(_120271, _120273), _120275)), 1992 ^ _82167 : [(1993 ^ _82167) ^ [_120356] : [hBOOL(hAPP(hAPP(_120273, _120356), _120275)), -(hBOOL(hAPP(c_Wellfounded_Oaccp(_120271, _120273), _120356)))]]], (2008 ^ _82167) ^ [_120643, _120645, _120647, _120649] : [hBOOL(hAPP(c_Wellfounded_Oaccp(_120643, _120645), _120647)), hBOOL(hAPP(hAPP(_120645, _120649), _120647)), -(hBOOL(hAPP(c_Wellfounded_Oaccp(_120643, _120645), _120649)))], (2018 ^ _82167) ^ [_120810, _120812, _120814, _120816, _120818] : [hBOOL(hAPP(hAPP(c_member(tc_fun(_120810, _120812)), _120814), c_FuncSet_Oextensional(_120810, _120812, _120816))), -(hBOOL(hAPP(hAPP(c_member(_120810), _120818), _120816))), -(hAPP(_120814, _120818) = c_HOL_Oundefined(_120812))], (2028 ^ _82167) ^ [_120960, _120962, _120964, _120966, _120968] : [2030 ^ _82167 : [(2031 ^ _82167) ^ [] : [-(hBOOL(hAPP(hAPP(c_member(_120960), 2029 ^ [_120960, _120962, _120964, _120966, _120968]), _120962)))], (2033 ^ _82167) ^ [] : [hBOOL(hAPP(hAPP(c_member(_120964), hAPP(_120966, 2029 ^ [_120960, _120962, _120964, _120966, _120968])), hAPP(_120968, 2029 ^ [_120960, _120962, _120964, _120966, _120968])))]], -(hBOOL(hAPP(hAPP(c_member(tc_fun(_120960, _120964)), _120966), c_FuncSet_OPi(_120960, _120964, _120962, _120968))))], (2037 ^ _82167) ^ [_121241, _121243, _121245, _121247] : [c_Recdef_Oadm__wf(_121241, _121243, _121245, _121247), 2040 ^ _82167 : [(2041 ^ _82167) ^ [_121370, _121372, _121374] : [2043 ^ _82167 : [(2044 ^ _82167) ^ [] : [-(hBOOL(hAPP(hAPP(c_member(tc_prod(_121241, _121241)), hAPP(hAPP(c_Product__Type_OPair(_121241, _121241), 2042 ^ [_121241, _121243, _121245, _121247, _121370, _121372, _121374]), _121370)), _121245)))], (2046 ^ _82167) ^ [] : [hAPP(_121374, 2042 ^ [_121241, _121243, _121245, _121247, _121370, _121372, _121374]) = hAPP(_121372, 2042 ^ [_121241, _121243, _121245, _121247, _121370, _121372, _121374])]], -(hAPP(hAPP(_121247, _121374), _121370) = hAPP(hAPP(_121247, _121372), _121370))]]], (2050 ^ _82167) ^ [_121647, _121649, _121651, _121653] : [-(c_Recdef_Oadm__wf(_121647, _121649, _121651, _121653)), 2054 ^ _82167 : [(2061 ^ _82167) ^ [] : [hAPP(hAPP(_121653, 2051 ^ [_121647, _121649, _121651, _121653]), 2053 ^ [_121647, _121649, _121651, _121653]) = hAPP(hAPP(_121653, 2052 ^ [_121647, _121649, _121651, _121653]), 2053 ^ [_121647, _121649, _121651, _121653])], (2055 ^ _82167) ^ [_121864] : [hBOOL(hAPP(hAPP(c_member(tc_prod(_121647, _121647)), hAPP(hAPP(c_Product__Type_OPair(_121647, _121647), _121864), 2053 ^ [_121647, _121649, _121651, _121653])), _121651)), -(hAPP(2051 ^ [_121647, _121649, _121651, _121653], _121864) = hAPP(2052 ^ [_121647, _121649, _121651, _121653], _121864))]]], (2065 ^ _82167) ^ [_122171, _122173, _122175, _122177, _122179] : [2067 ^ _82167 : [(2068 ^ _82167) ^ [] : [-(hBOOL(hAPP(hAPP(c_member(_122171), 2066 ^ [_122171, _122173, _122175, _122177, _122179]), _122173)))], (2070 ^ _82167) ^ [] : [hBOOL(hAPP(hAPP(c_member(_122175), hAPP(_122177, 2066 ^ [_122171, _122173, _122175, _122177, _122179])), _122179))]], -(hBOOL(hAPP(hAPP(c_member(tc_fun(_122171, _122175)), _122177), c_FuncSet_OPi(_122171, _122175, _122173, c_COMBK(tc_fun(_122175, tc_HOL_Obool), _122171, _122179)))))], (2074 ^ _82167) ^ [_122423, _122425, _122427, _122429, _122431, _122433] : [hBOOL(hAPP(hAPP(c_member(tc_fun(_122423, _122425)), _122427), c_FuncSet_Oextensional__funcset(_122423, _122425, _122429, _122431))), -(hBOOL(hAPP(hAPP(c_member(_122423), _122433), _122429))), -(hAPP(_122427, _122433) = c_HOL_Oundefined(_122425))], (2084 ^ _82167) ^ [_122604, _122606, _122608, _122610, _122612, _122614] : [c_Recdef_Owfrec__rel(_122604, _122606, _122608, _122610, _122612, _122614), 2088 ^ _82167 : [(2089 ^ _82167) ^ [] : [-(_122614 = hAPP(hAPP(_122610, 2087 ^ [_122604, _122606, _122608, _122610, _122612, _122614]), _122612))], (2091 ^ _82167) ^ [_122826] : [hBOOL(hAPP(hAPP(c_member(tc_prod(_122604, _122604)), hAPP(hAPP(c_Product__Type_OPair(_122604, _122604), _122826), _122612)), _122608)), -(c_Recdef_Owfrec__rel(_122604, _122606, _122608, _122610, _122826, hAPP(2087 ^ [_122604, _122606, _122608, _122610, _122612, _122614], _122826)))]]], (2097 ^ _82167) ^ [_122997, _122999, _123001, _123003, _123005, _123007] : [-(c_Recdef_Owfrec__rel(_122997, _122999, _123001, _123003, _123005, _123007)), 2098 ^ _82167 : [(2099 ^ _82167) ^ [_123092] : [_123007 = hAPP(hAPP(_123003, _123092), _123005), 2103 ^ _82167 : [(2104 ^ _82167) ^ [] : [-(hBOOL(hAPP(hAPP(c_member(tc_prod(_122997, _122997)), hAPP(hAPP(c_Product__Type_OPair(_122997, _122997), 2102 ^ [_122997, _122999, _123001, _123003, _123005, _123007, _123092]), _123005)), _123001)))], (2106 ^ _82167) ^ [] : [c_Recdef_Owfrec__rel(_122997, _122999, _123001, _123003, 2102 ^ [_122997, _122999, _123001, _123003, _123005, _123007, _123092], hAPP(_123092, 2102 ^ [_122997, _122999, _123001, _123003, _123005, _123007, _123092]))]]]]], (2110 ^ _82167) ^ [_123395, _123397, _123399, _123401, _123403, _123405] : [2112 ^ _82167 : [(2113 ^ _82167) ^ [] : [-(hBOOL(hAPP(hAPP(c_member(tc_prod(_123395, _123395)), hAPP(hAPP(c_Product__Type_OPair(_123395, _123395), 2111 ^ [_123395, _123397, _123399, _123401, _123403, _123405]), _123397)), _123399)))], (2115 ^ _82167) ^ [] : [c_Recdef_Owfrec__rel(_123395, _123401, _123399, _123403, 2111 ^ [_123395, _123397, _123399, _123401, _123403, _123405], hAPP(_123405, 2111 ^ [_123395, _123397, _123399, _123401, _123403, _123405]))]], -(c_Recdef_Owfrec__rel(_123395, _123401, _123399, _123403, _123397, hAPP(hAPP(_123403, _123405), _123397)))], (2119 ^ _82167) ^ [_123663, _123665, _123667, _123669, _123671, _123673] : [2121 ^ _82167 : [(2122 ^ _82167) ^ [] : [-(hBOOL(hAPP(hAPP(c_member(_123663), 2120 ^ [_123663, _123665, _123667, _123669, _123671, _123673]), _123665)))], (2124 ^ _82167) ^ [] : [hAPP(_123667, 2120 ^ [_123663, _123665, _123667, _123669, _123671, _123673]) = hAPP(_123669, 2120 ^ [_123663, _123665, _123667, _123669, _123671, _123673])]], 2125 ^ _82167 : [(2126 ^ _82167) ^ [] : [hBOOL(hAPP(hAPP(c_member(tc_fun(_123663, _123671)), _123667), c_FuncSet_OPi(_123663, _123671, _123665, _123673))), -(hBOOL(hAPP(hAPP(c_member(tc_fun(_123663, _123671)), _123669), c_FuncSet_OPi(_123663, _123671, _123665, _123673))))], (2132 ^ _82167) ^ [] : [hBOOL(hAPP(hAPP(c_member(tc_fun(_123663, _123671)), _123669), c_FuncSet_OPi(_123663, _123671, _123665, _123673))), -(hBOOL(hAPP(hAPP(c_member(tc_fun(_123663, _123671)), _123667), c_FuncSet_OPi(_123663, _123671, _123665, _123673))))]]], (2138 ^ _82167) ^ [_124118, _124120, _124122, _124124, _124126, _124128] : [hBOOL(hAPP(hAPP(c_member(tc_fun(_124118, _124120)), _124122), c_FuncSet_Oextensional__funcset(_124118, _124120, _124124, _124126))), hBOOL(hAPP(hAPP(c_member(_124118), _124128), _124124)), -(hBOOL(hAPP(hAPP(c_member(_124120), hAPP(_124122, _124128)), _124126)))], (2148 ^ _82167) ^ [_124327, _124329, _124331, _124333, _124335] : [hBOOL(hAPP(hAPP(c_member(tc_fun(_124327, _124329)), _124331), c_FuncSet_Oextensional(_124327, _124329, _124333))), hBOOL(hAPP(hAPP(c_member(tc_fun(_124327, _124329)), _124335), c_FuncSet_Oextensional(_124327, _124329, _124333))), 2158 ^ _82167 : [(2159 ^ _82167) ^ [] : [-(hBOOL(hAPP(hAPP(c_member(_124327), 2157 ^ [_124327, _124329, _124331, _124333, _124335]), _124333)))], (2161 ^ _82167) ^ [] : [hAPP(_124331, 2157 ^ [_124327, _124329, _124331, _124333, _124335]) = hAPP(_124335, 2157 ^ [_124327, _124329, _124331, _124333, _124335])]], -(_124331 = _124335)], (2165 ^ _82167) ^ [_124708, _124710, _124712, _124714, _124716] : [2167 ^ _82167 : [(2168 ^ _82167) ^ [] : [-(hBOOL(hAPP(hAPP(c_member(_124708), 2166 ^ [_124708, _124710, _124712, _124714, _124716]), _124710)))], (2170 ^ _82167) ^ [] : [hBOOL(hAPP(hAPP(c_member(_124712), hAPP(_124714, 2166 ^ [_124708, _124710, _124712, _124714, _124716])), hAPP(_124716, 2166 ^ [_124708, _124710, _124712, _124714, _124716])))]], -(hBOOL(hAPP(hAPP(c_member(tc_fun(_124708, _124712)), _124714), c_FuncSet_OPi(_124708, _124712, _124710, _124716))))], (2174 ^ _82167) ^ [_124968, _124970, _124972, _124974, _124976, _124978, _124980, _124982, _124984, _124986, _124988] : [hBOOL(hAPP(hAPP(c_member(tc_fun(_124968, _124970)), _124972), c_FuncSet_OPi(_124968, _124970, _124974, c_COMBK(tc_fun(_124970, tc_HOL_Obool), _124968, _124976)))), hBOOL(hAPP(hAPP(c_member(tc_fun(_124970, _124978)), _124980), c_FuncSet_OPi(_124970, _124978, _124976, c_COMBK(tc_fun(_124978, tc_HOL_Obool), _124970, _124982)))), hBOOL(hAPP(hAPP(c_member(tc_fun(_124978, _124984)), _124986), c_FuncSet_OPi(_124978, _124984, _124982, c_COMBK(tc_fun(_124984, tc_HOL_Obool), _124978, _124988)))), -(c_FuncSet_Ocompose(_124968, _124978, _124984, _124974, _124986, c_FuncSet_Ocompose(_124968, _124970, _124978, _124974, _124980, _124972)) = c_FuncSet_Ocompose(_124968, _124970, _124984, _124974, c_FuncSet_Ocompose(_124970, _124978, _124984, _124976, _124986, _124980), _124972))], (2188 ^ _82167) ^ [_125391, _125393, _125395, _125397, _125399, _125401, _125403, _125405] : [hBOOL(hAPP(hAPP(c_member(tc_fun(_125391, _125393)), _125395), c_FuncSet_OPi(_125391, _125393, _125397, c_COMBK(tc_fun(_125393, tc_HOL_Obool), _125391, _125399)))), hBOOL(hAPP(hAPP(c_member(tc_fun(_125393, _125401)), _125403), c_FuncSet_OPi(_125393, _125401, _125399, c_COMBK(tc_fun(_125401, tc_HOL_Obool), _125393, _125405)))), -(hBOOL(hAPP(hAPP(c_member(tc_fun(_125391, _125401)), c_FuncSet_Ocompose(_125391, _125393, _125401, _125397, _125403, _125395)), c_FuncSet_OPi(_125391, _125401, _125397, c_COMBK(tc_fun(_125401, tc_HOL_Obool), _125391, _125405)))))], (2198 ^ _82167) ^ [_125690, _125692, _125694, _125696] : [-(c_FuncSet_Oextensional__funcset(_125690, _125692, _125694, _125696) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_fun(_125690, _125692), tc_HOL_Obool)), c_FuncSet_OPi(_125690, _125692, _125694, c_COMBK(tc_fun(_125692, tc_HOL_Obool), _125690, _125696))), c_FuncSet_Oextensional(_125690, _125692, _125694)))], (2200 ^ _82167) ^ [_125754, _125756, _125758, _125760] : [hBOOL(hAPP(hAPP(c_member(tc_prod(_125754, _125754)), hAPP(hAPP(c_Product__Type_OPair(_125754, _125754), _125756), _125758)), c_Transitive__Closure_Ortrancl(_125754, _125760))), hBOOL(hAPP(hAPP(c_member(_125754), _125758), c_Wellfounded_Oacc(_125754, _125760))), -(hBOOL(hAPP(hAPP(c_member(_125754), _125756), c_Wellfounded_Oacc(_125754, _125760))))], (2210 ^ _82167) ^ [_125975, _125977, _125979, _125981] : [hBOOL(hAPP(hAPP(c_member(_125975), _125977), c_Wellfounded_Oacc(_125975, _125979))), hBOOL(hAPP(hAPP(c_member(tc_prod(_125975, _125975)), hAPP(hAPP(c_Product__Type_OPair(_125975, _125975), _125981), _125977)), c_Transitive__Closure_Ortrancl(_125975, _125979))), -(hBOOL(hAPP(hAPP(c_member(_125975), _125981), c_Wellfounded_Oacc(_125975, _125979))))], (2220 ^ _82167) ^ [_126196, _126198, _126200, _126202, _126204, _126206] : [-(hBOOL(hAPP(hAPP(c_member(tc_fun(_126196, _126198)), c_FuncSet_Ocompose(_126196, _126200, _126198, _126202, _126204, _126206)), c_FuncSet_Oextensional(_126196, _126198, _126202))))], (2222 ^ _82167) ^ [_126250, _126252, _126254, _126256] : [hBOOL(hAPP(_126250, _126252)), hBOOL(hAPP(_126254, _126252)), -(hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_126256, tc_HOL_Obool)), _126250), _126254), _126252)))], (2232 ^ _82167) ^ [_126421, _126423, _126425, _126427] : [hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_126421, tc_HOL_Obool)), _126423), _126425), _126427)), 2235 ^ _82167 : [(2236 ^ _82167) ^ [] : [-(hBOOL(hAPP(_126423, _126427)))], (2238 ^ _82167) ^ [] : [-(hBOOL(hAPP(_126425, _126427)))]]], (2240 ^ _82167) ^ [_126566, _126568, _126570, _126572] : [hBOOL(hAPP(hAPP(c_member(_126566), _126568), _126570)), hBOOL(hAPP(hAPP(c_member(_126566), _126568), _126572)), -(hBOOL(hAPP(hAPP(c_member(_126566), _126568), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_126566, tc_HOL_Obool)), _126570), _126572))))], (2250 ^ _82167) ^ [_126767, _126769, _126771, _126773] : [hBOOL(hAPP(hAPP(c_member(_126767), _126769), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_126767, tc_HOL_Obool)), _126771), _126773))), 2253 ^ _82167 : [(2254 ^ _82167) ^ [] : [-(hBOOL(hAPP(hAPP(c_member(_126767), _126769), _126771)))], (2256 ^ _82167) ^ [] : [-(hBOOL(hAPP(hAPP(c_member(_126767), _126769), _126773)))]]], (2258 ^ _82167) ^ [_126942, _126944, _126946, _126948] : [hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_126942, tc_HOL_Obool)), _126944), _126946), _126948)), -(hBOOL(hAPP(_126944, _126948)))], (2264 ^ _82167) ^ [_127053, _127055, _127057, _127059] : [hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_127053, tc_HOL_Obool)), _127055), _127057), _127059)), -(hBOOL(hAPP(_127057, _127059)))], (2270 ^ _82167) ^ [_127164, _127166] : [-(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_127164, tc_HOL_Obool)), _127166), _127166) = _127166)], (2272 ^ _82167) ^ [_127200, _127202, _127204] : [-(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_127200, tc_HOL_Obool)), _127202), _127204) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_127200, tc_HOL_Obool)), _127204), _127202))], (2274 ^ _82167) ^ [_127249, _127251, _127253] : [-(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_127249, tc_HOL_Obool)), _127251), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_127249, tc_HOL_Obool)), _127251), _127253)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_127249, tc_HOL_Obool)), _127251), _127253))], (2276 ^ _82167) ^ [_127309, _127311, _127313, _127315] : [-(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_127309, tc_HOL_Obool)), _127311), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_127309, tc_HOL_Obool)), _127313), _127315)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_127309, tc_HOL_Obool)), _127313), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_127309, tc_HOL_Obool)), _127311), _127315)))], (2278 ^ _82167) ^ [_127382, _127384, _127386, _127388] : [-(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_127382, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_127382, tc_HOL_Obool)), _127384), _127386)), _127388) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_127382, tc_HOL_Obool)), _127384), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_127382, tc_HOL_Obool)), _127386), _127388)))], (2280 ^ _82167) ^ [_127476, _127478, _127480, _127482] : [hBOOL(hAPP(hAPP(c_member(_127476), _127478), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_127476, tc_HOL_Obool)), _127480), _127482))), 2283 ^ _82167 : [(2284 ^ _82167) ^ [] : [-(hBOOL(hAPP(hAPP(c_member(_127476), _127478), _127480)))], (2286 ^ _82167) ^ [] : [-(hBOOL(hAPP(hAPP(c_member(_127476), _127478), _127482)))]]], (2288 ^ _82167) ^ [_127643, _127645, _127647, _127649] : [-(hBOOL(hAPP(hAPP(c_member(_127643), _127645), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_127643, tc_HOL_Obool)), _127647), _127649)))), hBOOL(hAPP(hAPP(c_member(_127643), _127645), _127647)), hBOOL(hAPP(hAPP(c_member(_127643), _127645), _127649))], (2298 ^ _82167) ^ [_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))), -(hBOOL(hAPP(hAPP(c_member(_127846), _127848), _127850)))], (2304 ^ _82167) ^ [_127977, _127979, _127981, _127983] : [hBOOL(hAPP(hAPP(c_member(_127977), _127979), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_127977, tc_HOL_Obool)), _127981), _127983))), -(hBOOL(hAPP(hAPP(c_member(_127977), _127979), _127983)))], (2310 ^ _82167) ^ [_128129, _128131, _128133, _128135] : [hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_128129, tc_HOL_Obool)), hAPP(hAPP(c_COMBC(_128129, tc_fun(_128129, tc_HOL_Obool), tc_HOL_Obool), c_member(_128129)), _128131)), hAPP(hAPP(c_COMBC(_128129, tc_fun(_128129, tc_HOL_Obool), tc_HOL_Obool), c_member(_128129)), _128133)), _128135)), -(hBOOL(hAPP(hAPP(c_member(_128129), _128135), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_128129, tc_HOL_Obool)), _128131), _128133))))], (2316 ^ _82167) ^ [_128328, _128330, _128332, _128334] : [hBOOL(hAPP(hAPP(c_member(_128328), _128334), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_128328, tc_HOL_Obool)), _128330), _128332))), -(hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_128328, tc_HOL_Obool)), hAPP(hAPP(c_COMBC(_128328, tc_fun(_128328, tc_HOL_Obool), tc_HOL_Obool), c_member(_128328)), _128330)), hAPP(hAPP(c_COMBC(_128328, tc_fun(_128328, tc_HOL_Obool), tc_HOL_Obool), c_member(_128328)), _128332)), _128334)))], (2322 ^ _82167) ^ [_128533, _128535, _128537, _128539, _128541, _128543, _128545] : [hBOOL(hAPP(hAPP(c_member(_128533), _128535), _128537)), -(hAPP(c_FuncSet_Ocompose(_128533, _128539, _128541, _128537, _128543, _128545), _128535) = hAPP(_128543, hAPP(_128545, _128535)))], (2328 ^ _82167) ^ [_128666, _128668, _128670] : [-(hBOOL(hAPP(hAPP(c_member(tc_prod(_128666, _128666)), hAPP(hAPP(c_Product__Type_OPair(_128666, _128666), _128668), _128668)), c_Transitive__Closure_Ortrancl(_128666, _128670))))], (2330 ^ _82167) ^ [_128715, _128717, _128719] : [hBOOL(hAPP(hAPP(c_member(tc_prod(_128715, _128715)), _128717), _128719)), -(hBOOL(hAPP(hAPP(c_member(tc_prod(_128715, _128715)), _128717), c_Transitive__Closure_Ortrancl(_128715, _128719))))], (2336 ^ _82167) ^ [_128840, _128842, _128844, _128846, _128848] : [hBOOL(hAPP(hAPP(c_member(tc_prod(_128840, _128840)), hAPP(hAPP(c_Product__Type_OPair(_128840, _128840), _128842), _128844)), _128846)), hBOOL(hAPP(hAPP(c_member(tc_prod(_128840, _128840)), hAPP(hAPP(c_Product__Type_OPair(_128840, _128840), _128844), _128848)), c_Transitive__Closure_Ortrancl(_128840, _128846))), -(hBOOL(hAPP(hAPP(c_member(tc_prod(_128840, _128840)), hAPP(hAPP(c_Product__Type_OPair(_128840, _128840), _128842), _128848)), c_Transitive__Closure_Ortrancl(_128840, _128846))))], (2346 ^ _82167) ^ [_129107, _129109, _129111, _129113, _129115] : [hBOOL(hAPP(hAPP(c_member(tc_prod(_129107, _129107)), hAPP(hAPP(c_Product__Type_OPair(_129107, _129107), _129109), _129111)), c_Transitive__Closure_Ortrancl(_129107, _129113))), hBOOL(hAPP(hAPP(c_member(tc_prod(_129107, _129107)), hAPP(hAPP(c_Product__Type_OPair(_129107, _129107), _129111), _129115)), _129113)), -(hBOOL(hAPP(hAPP(c_member(tc_prod(_129107, _129107)), hAPP(hAPP(c_Product__Type_OPair(_129107, _129107), _129109), _129115)), c_Transitive__Closure_Ortrancl(_129107, _129113))))], (2356 ^ _82167) ^ [_129374, _129376, _129378, _129380, _129382] : [hBOOL(hAPP(hAPP(c_member(tc_prod(_129374, _129374)), hAPP(hAPP(c_Product__Type_OPair(_129374, _129374), _129376), _129378)), c_Transitive__Closure_Ortrancl(_129374, _129380))), hBOOL(hAPP(hAPP(c_member(tc_prod(_129374, _129374)), hAPP(hAPP(c_Product__Type_OPair(_129374, _129374), _129378), _129382)), c_Transitive__Closure_Ortrancl(_129374, _129380))), -(hBOOL(hAPP(hAPP(c_member(tc_prod(_129374, _129374)), hAPP(hAPP(c_Product__Type_OPair(_129374, _129374), _129376), _129382)), c_Transitive__Closure_Ortrancl(_129374, _129380))))], (2366 ^ _82167) ^ [_129647, _129649, _129651, _129653, _129655] : [class_Lattices_Olattice(_129647), -(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_129649, _129647)), _129651), _129653), _129655) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_129647), hAPP(_129651, _129655)), hAPP(_129653, _129655)))], (2372 ^ _82167) ^ [_129784, _129786, _129788, _129790, _129792] : [hBOOL(hAPP(hAPP(c_member(tc_fun(_129784, _129786)), _129788), c_FuncSet_OPi(_129784, _129786, _129790, c_COMBK(tc_fun(_129786, tc_HOL_Obool), _129784, _129792)))), hBOOL(hAPP(hAPP(c_member(tc_fun(_129784, _129786)), _129788), c_FuncSet_Oextensional(_129784, _129786, _129790))), -(c_FuncSet_Ocompose(_129784, _129786, _129786, _129790, c_FuncSet_Orestrict(_129786, _129786, c_COMBI(_129786), _129792), _129788) = _129788)], (2382 ^ _82167) ^ [_130025, _130027, _130029, _130031, _130033] : [hBOOL(hAPP(hAPP(c_member(tc_fun(_130025, _130027)), _130029), c_FuncSet_OPi(_130025, _130027, _130031, c_COMBK(tc_fun(_130027, tc_HOL_Obool), _130025, _130033)))), hBOOL(hAPP(hAPP(c_member(tc_fun(_130025, _130027)), _130029), c_FuncSet_Oextensional(_130025, _130027, _130031))), -(c_FuncSet_Ocompose(_130025, _130025, _130027, _130031, _130029, c_FuncSet_Orestrict(_130025, _130025, c_COMBI(_130025), _130031)) = _130029)], (2392 ^ _82167) ^ [_130293, _130295, _130297, _130299, _130301, _130303] : [hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_130293, tc_fun(_130295, tc_HOL_Obool))), hAPP(hAPP(c_COMBC(_130293, tc_fun(tc_prod(_130293, _130295), tc_HOL_Obool), tc_fun(_130295, tc_HOL_Obool)), hAPP(c_COMBB(tc_fun(_130295, tc_fun(tc_fun(tc_prod(_130293, _130295), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_130293, _130295), tc_HOL_Obool), tc_fun(_130295, tc_HOL_Obool)), _130293, c_COMBC(_130295, tc_fun(tc_prod(_130293, _130295), tc_HOL_Obool), tc_HOL_Obool)), hAPP(c_COMBB(tc_fun(_130295, tc_prod(_130293, _130295)), tc_fun(_130295, tc_fun(tc_fun(tc_prod(_130293, _130295), tc_HOL_Obool), tc_HOL_Obool)), _130293, c_COMBB(tc_prod(_130293, _130295), tc_fun(tc_fun(tc_prod(_130293, _130295), tc_HOL_Obool), tc_HOL_Obool), _130295, c_member(tc_prod(_130293, _130295)))), c_Product__Type_OPair(_130293, _130295)))), _130297)), hAPP(hAPP(c_COMBC(_130293, tc_fun(tc_prod(_130293, _130295), tc_HOL_Obool), tc_fun(_130295, tc_HOL_Obool)), hAPP(c_COMBB(tc_fun(_130295, tc_fun(tc_fun(tc_prod(_130293, _130295), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_130293, _130295), tc_HOL_Obool), tc_fun(_130295, tc_HOL_Obool)), _130293, c_COMBC(_130295, tc_fun(tc_prod(_130293, _130295), tc_HOL_Obool), tc_HOL_Obool)), hAPP(c_COMBB(tc_fun(_130295, tc_prod(_130293, _130295)), tc_fun(_130295, tc_fun(tc_fun(tc_prod(_130293, _130295), tc_HOL_Obool), tc_HOL_Obool)), _130293, c_COMBB(tc_prod(_130293, _130295), tc_fun(tc_fun(tc_prod(_130293, _130295), tc_HOL_Obool), tc_HOL_Obool), _130295, c_member(tc_prod(_130293, _130295)))), c_Product__Type_OPair(_130293, _130295)))), _130299)), _130301), _130303)), -(hBOOL(hAPP(hAPP(c_member(tc_prod(_130293, _130295)), hAPP(hAPP(c_Product__Type_OPair(_130293, _130295), _130301), _130303)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(_130293, _130295), tc_HOL_Obool)), _130297), _130299))))], (2398 ^ _82167) ^ [_130926, _130928, _130930, _130932, _130934, _130936] : [hBOOL(hAPP(hAPP(c_member(tc_prod(_130926, _130928)), hAPP(hAPP(c_Product__Type_OPair(_130926, _130928), _130934), _130936)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(_130926, _130928), tc_HOL_Obool)), _130930), _130932))), -(hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_130926, tc_fun(_130928, tc_HOL_Obool))), hAPP(hAPP(c_COMBC(_130926, tc_fun(tc_prod(_130926, _130928), tc_HOL_Obool), tc_fun(_130928, tc_HOL_Obool)), hAPP(c_COMBB(tc_fun(_130928, tc_fun(tc_fun(tc_prod(_130926, _130928), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_130926, _130928), tc_HOL_Obool), tc_fun(_130928, tc_HOL_Obool)), _130926, c_COMBC(_130928, tc_fun(tc_prod(_130926, _130928), tc_HOL_Obool), tc_HOL_Obool)), hAPP(c_COMBB(tc_fun(_130928, tc_prod(_130926, _130928)), tc_fun(_130928, tc_fun(tc_fun(tc_prod(_130926, _130928), tc_HOL_Obool), tc_HOL_Obool)), _130926, c_COMBB(tc_prod(_130926, _130928), tc_fun(tc_fun(tc_prod(_130926, _130928), tc_HOL_Obool), tc_HOL_Obool), _130928, c_member(tc_prod(_130926, _130928)))), c_Product__Type_OPair(_130926, _130928)))), _130930)), hAPP(hAPP(c_COMBC(_130926, tc_fun(tc_prod(_130926, _130928), tc_HOL_Obool), tc_fun(_130928, tc_HOL_Obool)), hAPP(c_COMBB(tc_fun(_130928, tc_fun(tc_fun(tc_prod(_130926, _130928), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_130926, _130928), tc_HOL_Obool), tc_fun(_130928, tc_HOL_Obool)), _130926, c_COMBC(_130928, tc_fun(tc_prod(_130926, _130928), tc_HOL_Obool), tc_HOL_Obool)), hAPP(c_COMBB(tc_fun(_130928, tc_prod(_130926, _130928)), tc_fun(_130928, tc_fun(tc_fun(tc_prod(_130926, _130928), tc_HOL_Obool), tc_HOL_Obool)), _130926, c_COMBB(tc_prod(_130926, _130928), tc_fun(tc_fun(tc_prod(_130926, _130928), tc_HOL_Obool), tc_HOL_Obool), _130928, c_member(tc_prod(_130926, _130928)))), c_Product__Type_OPair(_130926, _130928)))), _130932)), _130934), _130936)))], (2404 ^ _82167) ^ [_131565, _131567, _131569, _131571, _131573, _131575] : [-(c_FuncSet_Ocompose(_131565, _131567, _131569, _131571, _131573, _131575) = c_FuncSet_Orestrict(_131565, _131569, hAPP(c_COMBB(_131567, _131569, _131565, _131573), _131575), _131571))], (2406 ^ _82167) ^ [_131618, _131620, _131622, _131624] : [hBOOL(hAPP(hAPP(c_member(tc_fun(_131618, _131620)), _131622), c_FuncSet_Oextensional(_131618, _131620, _131624))), -(c_FuncSet_Orestrict(_131618, _131620, _131622, _131624) = _131622)], (2412 ^ _82167) ^ [_131737, _131739, _131741, _131743] : [-(hBOOL(hAPP(hAPP(c_member(tc_fun(_131737, _131739)), c_FuncSet_Orestrict(_131737, _131739, _131741, _131743)), c_FuncSet_Oextensional(_131737, _131739, _131743))))], (2414 ^ _82167) ^ [_131785, _131787] : [class_Lattices_Osemilattice__inf(_131785), -(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_131785), _131787), _131787) = _131787)], (2420 ^ _82167) ^ [_131876, _131878] : [class_Lattices_Osemilattice__inf(_131876), -(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_131876), _131878), _131878) = _131878)], (2426 ^ _82167) ^ [_131967, _131969, _131971] : [class_Lattices_Osemilattice__inf(_131967), -(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_131967), _131969), _131971) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_131967), _131971), _131969))], (2432 ^ _82167) ^ [_132076, _132078, _132080] : [class_Lattices_Olattice(_132076), -(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_132076), _132078), _132080) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_132076), _132080), _132078))], (2438 ^ _82167) ^ [_132185, _132187, _132189] : [class_Lattices_Osemilattice__inf(_132185), -(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_132185), _132187), _132189) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_132185), _132189), _132187))], (2444 ^ _82167) ^ [_132294, _132296, _132298] : [class_Lattices_Osemilattice__inf(_132294), -(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_132294), _132296), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_132294), _132296), _132298)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_132294), _132296), _132298))], (2450 ^ _82167) ^ [_132419, _132421, _132423] : [class_Lattices_Olattice(_132419), -(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_132419), _132421), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_132419), _132421), _132423)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_132419), _132421), _132423))], (2456 ^ _82167) ^ [_132544, _132546, _132548] : [class_Lattices_Osemilattice__inf(_132544), -(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_132544), _132546), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_132544), _132546), _132548)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_132544), _132546), _132548))], (2462 ^ _82167) ^ [_132669, _132671, _132673, _132675] : [class_Lattices_Osemilattice__inf(_132669), -(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_132669), _132671), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_132669), _132673), _132675)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_132669), _132673), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_132669), _132671), _132675)))], (2468 ^ _82167) ^ [_132812, _132814, _132816, _132818] : [class_Lattices_Olattice(_132812), -(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_132812), _132814), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_132812), _132816), _132818)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_132812), _132816), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_132812), _132814), _132818)))], (2474 ^ _82167) ^ [_132955, _132957, _132959, _132961] : [class_Lattices_Osemilattice__inf(_132955), -(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_132955), _132957), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_132955), _132959), _132961)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_132955), _132959), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_132955), _132957), _132961)))], (2480 ^ _82167) ^ [_133098, _133100, _133102, _133104] : [class_Lattices_Osemilattice__inf(_133098), -(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_133098), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_133098), _133100), _133102)), _133104) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_133098), _133100), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_133098), _133102), _133104)))], (2486 ^ _82167) ^ [_133241, _133243, _133245, _133247] : [class_Lattices_Olattice(_133241), -(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_133241), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_133241), _133243), _133245)), _133247) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_133241), _133243), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_133241), _133245), _133247)))], (2492 ^ _82167) ^ [_133384, _133386, _133388, _133390] : [class_Lattices_Osemilattice__inf(_133384), -(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_133384), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_133384), _133386), _133388)), _133390) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_133384), _133386), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_133384), _133388), _133390)))], (2498 ^ _82167) ^ [_133545, _133547, _133549, _133551, _133553] : [hBOOL(hAPP(hAPP(c_member(_133545), _133547), _133549)), -(hAPP(c_FuncSet_Orestrict(_133545, _133551, _133553, _133549), _133547) = hAPP(_133553, _133547))], (2504 ^ _82167) ^ [_133658, _133660, _133662, _133664, _133666] : [-(hBOOL(hAPP(hAPP(c_member(_133658), _133660), _133662))), -(hAPP(c_FuncSet_Orestrict(_133658, _133664, _133666, _133662), _133660) = c_HOL_Oundefined(_133664))], (2510 ^ _82167) ^ [_133737, _133739, _133741, _133743, _133745] : [hBOOL(hAPP(hAPP(c_member(_133737), _133739), _133741)), -(hAPP(c_FuncSet_Orestrict(_133737, _133743, _133745, _133741), _133739) = hAPP(_133745, _133739))], (2516 ^ _82167) ^ [_133850, _133852, _133854, _133856, _133858] : [-(hBOOL(hAPP(hAPP(c_member(_133850), _133852), _133854))), -(hAPP(c_FuncSet_Orestrict(_133850, _133856, _133858, _133854), _133852) = c_HOL_Oundefined(_133856))], (2522 ^ _82167) ^ [_133911, _133913] : [-(c_Transitive__Closure_Ortrancl(_133911, c_Transitive__Closure_Ortrancl(_133911, _133913)) = c_Transitive__Closure_Ortrancl(_133911, _133913))], (2524 ^ _82167) ^ [_133945, _133947, _133949, _133951, _133953] : [class_Lattices_Olattice(_133945), -(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_133947, _133945)), _133949), _133951), _133953) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_133945), hAPP(_133949, _133953)), hAPP(_133951, _133953)))], (2530 ^ _82167) ^ [_134082, _134084, _134086, _134088, _134090] : [2532 ^ _82167 : [(2533 ^ _82167) ^ [] : [-(hBOOL(hAPP(hAPP(c_member(_134082), 2531 ^ [_134082, _134084, _134086, _134088, _134090]), _134084)))], (2535 ^ _82167) ^ [] : [hBOOL(hAPP(hAPP(c_member(_134086), hAPP(_134088, 2531 ^ [_134082, _134084, _134086, _134088, _134090])), hAPP(_134090, 2531 ^ [_134082, _134084, _134086, _134088, _134090])))]], -(hBOOL(hAPP(hAPP(c_member(tc_fun(_134082, _134086)), c_FuncSet_Orestrict(_134082, _134086, _134088, _134084)), c_FuncSet_OPi(_134082, _134086, _134084, _134090))))], (2539 ^ _82167) ^ [_134352, _134354, _134356, _134358, _134360] : [2541 ^ _82167 : [(2542 ^ _82167) ^ [] : [-(hBOOL(hAPP(hAPP(c_member(_134352), 2540 ^ [_134352, _134354, _134356, _134358, _134360]), _134354)))], (2544 ^ _82167) ^ [] : [hBOOL(hAPP(hAPP(c_member(_134356), hAPP(_134358, 2540 ^ [_134352, _134354, _134356, _134358, _134360])), _134360))]], -(hBOOL(hAPP(hAPP(c_member(tc_fun(_134352, _134356)), c_FuncSet_Orestrict(_134352, _134356, _134358, _134354)), c_FuncSet_OPi(_134352, _134356, _134354, c_COMBK(tc_fun(_134356, tc_HOL_Obool), _134352, _134360)))))], (2548 ^ _82167) ^ [_134614, _134616, _134618, _134620, _134622] : [c_Relation_Osingle__valued(_134614, _134614, _134616), hBOOL(hAPP(hAPP(c_member(tc_prod(_134614, _134614)), hAPP(hAPP(c_Product__Type_OPair(_134614, _134614), _134618), _134620)), c_Transitive__Closure_Ortrancl(_134614, _134616))), hBOOL(hAPP(hAPP(c_member(tc_prod(_134614, _134614)), hAPP(hAPP(c_Product__Type_OPair(_134614, _134614), _134618), _134622)), c_Transitive__Closure_Ortrancl(_134614, _134616))), -(hBOOL(hAPP(hAPP(c_member(tc_prod(_134614, _134614)), hAPP(hAPP(c_Product__Type_OPair(_134614, _134614), _134620), _134622)), c_Transitive__Closure_Ortrancl(_134614, _134616)))), -(hBOOL(hAPP(hAPP(c_member(tc_prod(_134614, _134614)), hAPP(hAPP(c_Product__Type_OPair(_134614, _134614), _134622), _134620)), c_Transitive__Closure_Ortrancl(_134614, _134616))))], (2566 ^ _82167) ^ [_135003, _135005, _135007, _135009] : [-(hBOOL(hAPP(hAPP(c_member(_135003), _135005), c_Relation_ODomain(_135003, _135003, _135007)))), 2569 ^ _82167 : [(2570 ^ _82167) ^ [] : [hBOOL(hAPP(hAPP(c_member(tc_prod(_135003, _135003)), hAPP(hAPP(c_Product__Type_OPair(_135003, _135003), _135005), _135009)), c_Transitive__Closure_Ortrancl(_135003, _135007))), -(_135005 = _135009)], (2576 ^ _82167) ^ [] : [_135005 = _135009, -(hBOOL(hAPP(hAPP(c_member(tc_prod(_135003, _135003)), hAPP(hAPP(c_Product__Type_OPair(_135003, _135003), _135005), _135009)), c_Transitive__Closure_Ortrancl(_135003, _135007))))]]], (2582 ^ _82167) ^ [_135297, _135299, _135301, _135303, _135305, _135307, _135309, _135311] : [hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(_135297, _135299), tc_prod(_135297, _135299))), hAPP(hAPP(c_Product__Type_OPair(tc_prod(_135297, _135299), tc_prod(_135297, _135299)), hAPP(hAPP(c_Product__Type_OPair(_135297, _135299), _135301), _135303)), hAPP(hAPP(c_Product__Type_OPair(_135297, _135299), _135305), _135307))), c_Transitive__Closure_Ortrancl(tc_prod(_135297, _135299), _135309))), hBOOL(hAPP(hAPP(_135311, _135301), _135303)), 2593 ^ _82167 : [(2594 ^ _82167) ^ [] : [-(hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(_135297, _135299), tc_prod(_135297, _135299))), hAPP(hAPP(c_Product__Type_OPair(tc_prod(_135297, _135299), tc_prod(_135297, _135299)), hAPP(hAPP(c_Product__Type_OPair(_135297, _135299), _135301), _135303)), hAPP(hAPP(c_Product__Type_OPair(_135297, _135299), 2591 ^ [_135297, _135299, _135301, _135303, _135305, _135307, _135309, _135311]), 2592 ^ [_135297, _135299, _135301, _135303, _135305, _135307, _135309, _135311]))), c_Transitive__Closure_Ortrancl(tc_prod(_135297, _135299), _135309))))], (2598 ^ _82167) ^ [] : [-(hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(_135297, _135299), tc_prod(_135297, _135299))), hAPP(hAPP(c_Product__Type_OPair(tc_prod(_135297, _135299), tc_prod(_135297, _135299)), hAPP(hAPP(c_Product__Type_OPair(_135297, _135299), 2591 ^ [_135297, _135299, _135301, _135303, _135305, _135307, _135309, _135311]), 2592 ^ [_135297, _135299, _135301, _135303, _135305, _135307, _135309, _135311])), hAPP(hAPP(c_Product__Type_OPair(_135297, _135299), 2595 ^ [_135297, _135299, _135301, _135303, _135305, _135307, _135309, _135311]), 2596 ^ [_135297, _135299, _135301, _135303, _135305, _135307, _135309, _135311]))), _135309)))], (2600 ^ _82167) ^ [] : [-(hBOOL(hAPP(hAPP(_135311, 2591 ^ [_135297, _135299, _135301, _135303, _135305, _135307, _135309, _135311]), 2592 ^ [_135297, _135299, _135301, _135303, _135305, _135307, _135309, _135311])))], (2602 ^ _82167) ^ [] : [hBOOL(hAPP(hAPP(_135311, 2595 ^ [_135297, _135299, _135301, _135303, _135305, _135307, _135309, _135311]), 2596 ^ [_135297, _135299, _135301, _135303, _135305, _135307, _135309, _135311]))]], -(hBOOL(hAPP(hAPP(_135311, _135305), _135307)))], (2606 ^ _82167) ^ [_136427, _136429, _136431, _136433, _136435, _136437, _136439, _136441] : [hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(_136427, _136429), tc_prod(_136427, _136429))), hAPP(hAPP(c_Product__Type_OPair(tc_prod(_136427, _136429), tc_prod(_136427, _136429)), hAPP(hAPP(c_Product__Type_OPair(_136427, _136429), _136431), _136433)), hAPP(hAPP(c_Product__Type_OPair(_136427, _136429), _136435), _136437))), c_Transitive__Closure_Ortrancl(tc_prod(_136427, _136429), _136439))), hBOOL(hAPP(hAPP(_136441, _136435), _136437)), 2619 ^ _82167 : [(2620 ^ _82167) ^ [] : [-(hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(_136427, _136429), tc_prod(_136427, _136429))), hAPP(hAPP(c_Product__Type_OPair(tc_prod(_136427, _136429), tc_prod(_136427, _136429)), hAPP(hAPP(c_Product__Type_OPair(_136427, _136429), 2615 ^ [_136427, _136429, _136431, _136433, _136435, _136437, _136439, _136441]), 2616 ^ [_136427, _136429, _136431, _136433, _136435, _136437, _136439, _136441])), hAPP(hAPP(c_Product__Type_OPair(_136427, _136429), 2617 ^ [_136427, _136429, _136431, _136433, _136435, _136437, _136439, _136441]), 2618 ^ [_136427, _136429, _136431, _136433, _136435, _136437, _136439, _136441]))), _136439)))], (2622 ^ _82167) ^ [] : [-(hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(_136427, _136429), tc_prod(_136427, _136429))), hAPP(hAPP(c_Product__Type_OPair(tc_prod(_136427, _136429), tc_prod(_136427, _136429)), hAPP(hAPP(c_Product__Type_OPair(_136427, _136429), 2617 ^ [_136427, _136429, _136431, _136433, _136435, _136437, _136439, _136441]), 2618 ^ [_136427, _136429, _136431, _136433, _136435, _136437, _136439, _136441])), hAPP(hAPP(c_Product__Type_OPair(_136427, _136429), _136435), _136437))), c_Transitive__Closure_Ortrancl(tc_prod(_136427, _136429), _136439))))], (2624 ^ _82167) ^ [] : [-(hBOOL(hAPP(hAPP(_136441, 2617 ^ [_136427, _136429, _136431, _136433, _136435, _136437, _136439, _136441]), 2618 ^ [_136427, _136429, _136431, _136433, _136435, _136437, _136439, _136441])))], (2626 ^ _82167) ^ [] : [hBOOL(hAPP(hAPP(_136441, 2615 ^ [_136427, _136429, _136431, _136433, _136435, _136437, _136439, _136441]), 2616 ^ [_136427, _136429, _136431, _136433, _136435, _136437, _136439, _136441]))]], -(hBOOL(hAPP(hAPP(_136441, _136431), _136433)))], (2630 ^ _82167) ^ [_137487, _137489, _137491, _137493, _137495, _137497, _137499] : [hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(_137487, _137489), tc_prod(_137487, _137489))), hAPP(hAPP(c_Product__Type_OPair(tc_prod(_137487, _137489), tc_prod(_137487, _137489)), hAPP(hAPP(c_Product__Type_OPair(_137487, _137489), _137491), _137493)), hAPP(hAPP(c_Product__Type_OPair(_137487, _137489), _137495), _137497))), c_Transitive__Closure_Ortrancl(tc_prod(_137487, _137489), _137499))), -(hAPP(hAPP(c_Product__Type_OPair(_137487, _137489), _137491), _137493) = hAPP(hAPP(c_Product__Type_OPair(_137487, _137489), _137495), _137497)), 2639 ^ _82167 : [(2640 ^ _82167) ^ [] : [-(hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(_137487, _137489), tc_prod(_137487, _137489))), hAPP(hAPP(c_Product__Type_OPair(tc_prod(_137487, _137489), tc_prod(_137487, _137489)), hAPP(hAPP(c_Product__Type_OPair(_137487, _137489), _137491), _137493)), hAPP(hAPP(c_Product__Type_OPair(_137487, _137489), 2637 ^ [_137487, _137489, _137491, _137493, _137495, _137497, _137499]), 2638 ^ [_137487, _137489, _137491, _137493, _137495, _137497, _137499]))), _137499)))], (2642 ^ _82167) ^ [] : [-(hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(_137487, _137489), tc_prod(_137487, _137489))), hAPP(hAPP(c_Product__Type_OPair(tc_prod(_137487, _137489), tc_prod(_137487, _137489)), hAPP(hAPP(c_Product__Type_OPair(_137487, _137489), 2637 ^ [_137487, _137489, _137491, _137493, _137495, _137497, _137499]), 2638 ^ [_137487, _137489, _137491, _137493, _137495, _137497, _137499])), hAPP(hAPP(c_Product__Type_OPair(_137487, _137489), _137495), _137497))), c_Transitive__Closure_Ortrancl(tc_prod(_137487, _137489), _137499))))]]], (2644 ^ _82167) ^ [_138068, _138070, _138072, _138074, _138076, _138078] : [hBOOL(hAPP(hAPP(_138068, _138070), _138072)), hBOOL(hAPP(hAPP(_138074, _138070), _138072)), -(hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_138076, tc_fun(_138078, tc_HOL_Obool))), _138068), _138074), _138070), _138072)))], (2654 ^ _82167) ^ [_138271, _138273, _138275, _138277, _138279, _138281] : [hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_138271, tc_fun(_138273, tc_HOL_Obool))), _138275), _138277), _138279), _138281)), 2657 ^ _82167 : [(2658 ^ _82167) ^ [] : [-(hBOOL(hAPP(hAPP(_138275, _138279), _138281)))], (2660 ^ _82167) ^ [] : [-(hBOOL(hAPP(hAPP(_138277, _138279), _138281)))]]], (2662 ^ _82167) ^ [_138444, _138446, _138448, _138450, _138452, _138454] : [hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_138444, tc_fun(_138446, tc_HOL_Obool))), _138448), _138450), _138452), _138454)), -(hBOOL(hAPP(hAPP(_138448, _138452), _138454)))], (2668 ^ _82167) ^ [_138577, _138579, _138581, _138583, _138585, _138587] : [hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_138577, tc_fun(_138579, tc_HOL_Obool))), _138581), _138583), _138585), _138587)), -(hBOOL(hAPP(hAPP(_138583, _138585), _138587)))], (2674 ^ _82167) ^ [_138710, _138712, _138714, _138716, _138718] : [hBOOL(hAPP(hAPP(c_member(tc_prod(_138710, _138712)), hAPP(hAPP(c_Product__Type_OPair(_138710, _138712), _138714), _138716)), _138718)), -(hBOOL(hAPP(hAPP(c_member(_138710), _138714), c_Relation_ODomain(_138710, _138712, _138718))))], (2680 ^ _82167) ^ [_138874, _138876, _138878, _138880] : [hBOOL(hAPP(hAPP(c_member(_138874), _138876), c_Relation_ODomain(_138874, _138878, _138880))), -(hBOOL(hAPP(hAPP(c_member(tc_prod(_138874, _138878)), hAPP(hAPP(c_Product__Type_OPair(_138874, _138878), _138876), 2683 ^ [_138874, _138876, _138878, _138880])), _138880)))], (2687 ^ _82167) ^ [_139027, _139029, _139031, _139033] : [2688 ^ _82167 : [(2689 ^ _82167) ^ [_139100] : [hBOOL(hAPP(hAPP(c_member(tc_prod(_139027, _139031)), hAPP(hAPP(c_Product__Type_OPair(_139027, _139031), _139029), _139100)), _139033))]], -(hBOOL(hAPP(hAPP(c_member(_139027), _139029), c_Relation_ODomain(_139027, _139031, _139033))))], (2707 ^ _82167) ^ [_139575, _139577, _139579] : [2710 ^ _82167 : [(2711 ^ _82167) ^ [] : [-(hBOOL(hAPP(hAPP(c_member(tc_prod(_139575, _139577)), hAPP(hAPP(c_Product__Type_OPair(_139575, _139577), 2708 ^ [_139575, _139577, _139579]), 2709 ^ [_139575, _139577, _139579])), _139579)))], (2714 ^ _82167) ^ [] : [-(hBOOL(hAPP(hAPP(c_member(tc_prod(_139575, _139577)), hAPP(hAPP(c_Product__Type_OPair(_139575, _139577), 2708 ^ [_139575, _139577, _139579]), 2712 ^ [_139575, _139577, _139579])), _139579)))], (2716 ^ _82167) ^ [] : [2709 ^ [_139575, _139577, _139579] = 2712 ^ [_139575, _139577, _139579]]], -(c_Relation_Osingle__valued(_139575, _139577, _139579))], (2693 ^ _82167) ^ [_139201, _139203, _139205] : [c_Relation_Osingle__valued(_139201, _139203, _139205), 2696 ^ _82167 : [(2697 ^ _82167) ^ [_139322, _139324] : [hBOOL(hAPP(hAPP(c_member(tc_prod(_139201, _139203)), hAPP(hAPP(c_Product__Type_OPair(_139201, _139203), _139324), _139322)), _139205)), 2700 ^ _82167 : [(2701 ^ _82167) ^ [_139448] : [hBOOL(hAPP(hAPP(c_member(tc_prod(_139201, _139203)), hAPP(hAPP(c_Product__Type_OPair(_139201, _139203), _139324), _139448)), _139205)), -(_139322 = _139448)]]]]], (2720 ^ _82167) ^ [_139945, _139947, _139949, _139951, _139953, _139955] : [c_Relation_Osingle__valued(_139945, _139947, _139949), hBOOL(hAPP(hAPP(c_member(tc_prod(_139945, _139947)), hAPP(hAPP(c_Product__Type_OPair(_139945, _139947), _139951), _139953)), _139949)), hBOOL(hAPP(hAPP(c_member(tc_prod(_139945, _139947)), hAPP(hAPP(c_Product__Type_OPair(_139945, _139947), _139951), _139955)), _139949)), -(_139953 = _139955)], (2734 ^ _82167) ^ [_140249, _140251, _140253, _140255] : [c_Predicate_ODomainP(_140249, _140251, hAPP(hAPP(c_COMBC(_140249, tc_fun(tc_prod(_140249, _140251), tc_HOL_Obool), tc_fun(_140251, tc_HOL_Obool)), hAPP(c_COMBB(tc_fun(_140251, tc_fun(tc_fun(tc_prod(_140249, _140251), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_140249, _140251), tc_HOL_Obool), tc_fun(_140251, tc_HOL_Obool)), _140249, c_COMBC(_140251, tc_fun(tc_prod(_140249, _140251), tc_HOL_Obool), tc_HOL_Obool)), hAPP(c_COMBB(tc_fun(_140251, tc_prod(_140249, _140251)), tc_fun(_140251, tc_fun(tc_fun(tc_prod(_140249, _140251), tc_HOL_Obool), tc_HOL_Obool)), _140249, c_COMBB(tc_prod(_140249, _140251), tc_fun(tc_fun(tc_prod(_140249, _140251), tc_HOL_Obool), tc_HOL_Obool), _140251, c_member(tc_prod(_140249, _140251)))), c_Product__Type_OPair(_140249, _140251)))), _140253), _140255), -(hBOOL(hAPP(hAPP(c_member(_140249), _140255), c_Relation_ODomain(_140249, _140251, _140253))))], (2740 ^ _82167) ^ [_140576, _140578, _140580, _140582] : [hBOOL(hAPP(hAPP(c_member(_140576), _140582), c_Relation_ODomain(_140576, _140578, _140580))), -(c_Predicate_ODomainP(_140576, _140578, hAPP(hAPP(c_COMBC(_140576, tc_fun(tc_prod(_140576, _140578), tc_HOL_Obool), tc_fun(_140578, tc_HOL_Obool)), hAPP(c_COMBB(tc_fun(_140578, tc_fun(tc_fun(tc_prod(_140576, _140578), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_140576, _140578), tc_HOL_Obool), tc_fun(_140578, tc_HOL_Obool)), _140576, c_COMBC(_140578, tc_fun(tc_prod(_140576, _140578), tc_HOL_Obool), tc_HOL_Obool)), hAPP(c_COMBB(tc_fun(_140578, tc_prod(_140576, _140578)), tc_fun(_140578, tc_fun(tc_fun(tc_prod(_140576, _140578), tc_HOL_Obool), tc_HOL_Obool)), _140576, c_COMBB(tc_prod(_140576, _140578), tc_fun(tc_fun(tc_prod(_140576, _140578), tc_HOL_Obool), tc_HOL_Obool), _140578, c_member(tc_prod(_140576, _140578)))), c_Product__Type_OPair(_140576, _140578)))), _140580), _140582))], (2746 ^ _82167) ^ [_140909, _140911, _140913, _140915] : [hBOOL(hAPP(hAPP(c_member(_140909), _140911), c_Relation_ODomain(_140909, _140913, _140915))), -(hBOOL(hAPP(hAPP(c_member(tc_prod(_140909, _140913)), hAPP(hAPP(c_Product__Type_OPair(_140909, _140913), _140911), 2749 ^ [_140909, _140911, _140913, _140915])), _140915)))], (2753 ^ _82167) ^ [_141070, _141072, _141074, _141076, _141078] : [hBOOL(hAPP(hAPP(_141070, _141072), _141074)), -(c_Predicate_ODomainP(_141076, _141078, _141070, _141072))], (2759 ^ _82167) ^ [_141182, _141184] : [c_Relation_Oirrefl(_141182, _141184), 2762 ^ _82167 : [(2763 ^ _82167) ^ [_141264] : [hBOOL(hAPP(hAPP(c_member(tc_prod(_141182, _141182)), hAPP(hAPP(c_Product__Type_OPair(_141182, _141182), _141264), _141264)), _141184))]]], (2765 ^ _82167) ^ [_141304, _141306] : [-(hBOOL(hAPP(hAPP(c_member(tc_prod(_141304, _141304)), hAPP(hAPP(c_Product__Type_OPair(_141304, _141304), 2766 ^ [_141304, _141306]), 2766 ^ [_141304, _141306])), _141306))), -(c_Relation_Oirrefl(_141304, _141306))], (2772 ^ _82167) ^ [_141375, _141377, _141379, _141381, _141383] : [hBOOL(hAPP(hAPP(c_member(tc_prod(_141375, _141377)), hAPP(hAPP(c_Product__Type_OPair(_141375, _141377), _141379), _141381)), _141383)), -(hBOOL(hAPP(hAPP(c_member(_141377), _141381), c_Relation_ORange(_141375, _141377, _141383))))], (2778 ^ _82167) ^ [_141518, _141520, _141522, _141524] : [_141518 = _141520, hBOOL(hAPP(hAPP(c_member(_141522), _141518), _141524)), -(hBOOL(hAPP(hAPP(c_member(tc_prod(_141522, _141522)), hAPP(hAPP(c_Product__Type_OPair(_141522, _141522), _141518), _141520)), c_Relation_OId__on(_141522, _141524))))], (2788 ^ _82167) ^ [_141734, _141736, _141738, _141740] : [hBOOL(hAPP(hAPP(c_member(tc_prod(_141734, _141734)), hAPP(hAPP(c_Product__Type_OPair(_141734, _141734), _141736), _141738)), c_Relation_OId__on(_141734, _141740))), 2791 ^ _82167 : [(2792 ^ _82167) ^ [] : [-(_141736 = _141738)], (2794 ^ _82167) ^ [] : [-(hBOOL(hAPP(hAPP(c_member(_141734), _141736), _141740)))]]], (2796 ^ _82167) ^ [_141895, _141897, _141899, _141901] : [-(hBOOL(hAPP(hAPP(c_member(tc_prod(_141895, _141895)), hAPP(hAPP(c_Product__Type_OPair(_141895, _141895), _141897), _141899)), c_Relation_OId__on(_141895, _141901)))), _141897 = _141899, hBOOL(hAPP(hAPP(c_member(_141895), _141897), _141901))], (2806 ^ _82167) ^ [_142092, _142094, _142096] : [2809 ^ _82167 : [(2810 ^ _82167) ^ [] : [-(hBOOL(hAPP(hAPP(c_member(tc_prod(_142092, _142094)), hAPP(hAPP(c_Product__Type_OPair(_142092, _142094), 2807 ^ [_142092, _142094, _142096]), 2808 ^ [_142092, _142094, _142096])), _142096)))], (2813 ^ _82167) ^ [] : [-(hBOOL(hAPP(hAPP(c_member(tc_prod(_142092, _142094)), hAPP(hAPP(c_Product__Type_OPair(_142092, _142094), 2807 ^ [_142092, _142094, _142096]), 2811 ^ [_142092, _142094, _142096])), _142096)))], (2815 ^ _82167) ^ [] : [2808 ^ [_142092, _142094, _142096] = 2811 ^ [_142092, _142094, _142096]]], -(c_Relation_Osingle__valued(_142092, _142094, _142096))], (2819 ^ _82167) ^ [_142460, _142462, _142464, _142466] : [hBOOL(hAPP(hAPP(c_member(tc_prod(_142460, _142460)), hAPP(hAPP(c_Product__Type_OPair(_142460, _142460), _142462), _142464)), c_Transitive__Closure_Ortrancl(_142460, _142466))), -(_142462 = _142464), 2827 ^ _82167 : [(2828 ^ _82167) ^ [] : [-(hBOOL(hAPP(hAPP(c_member(tc_prod(_142460, _142460)), hAPP(hAPP(c_Product__Type_OPair(_142460, _142460), _142462), 2826 ^ [_142460, _142462, _142464, _142466])), c_Transitive__Closure_Ortrancl(_142460, _142466))))], (2830 ^ _82167) ^ [] : [-(hBOOL(hAPP(hAPP(c_member(tc_prod(_142460, _142460)), hAPP(hAPP(c_Product__Type_OPair(_142460, _142460), 2826 ^ [_142460, _142462, _142464, _142466]), _142464)), _142466)))]]], (2832 ^ _82167) ^ [_142756, _142758] : [-(c_Relation_ORange(_142756, _142756, c_Relation_OId__on(_142756, _142758)) = _142758)], (2834 ^ _82167) ^ [_142788, _142790] : [-(c_Relation_ODomain(_142788, _142788, c_Relation_OId__on(_142788, _142790)) = _142790)], (2836 ^ _82167) ^ [_142820, _142822] : [-(c_Relation_Osingle__valued(_142820, _142820, c_Relation_OId__on(_142820, _142822)))], (2838 ^ _82167) ^ [_142870, _142872, _142874, _142876] : [hBOOL(hAPP(hAPP(c_member(_142870), _142872), c_Relation_ORange(_142874, _142870, _142876))), -(hBOOL(hAPP(hAPP(c_member(tc_prod(_142874, _142870)), hAPP(hAPP(c_Product__Type_OPair(_142874, _142870), 2841 ^ [_142870, _142872, _142874, _142876]), _142872)), _142876)))], (2845 ^ _82167) ^ [_143023, _143025, _143027, _143029] : [2846 ^ _82167 : [(2847 ^ _82167) ^ [_143096] : [hBOOL(hAPP(hAPP(c_member(tc_prod(_143027, _143023)), hAPP(hAPP(c_Product__Type_OPair(_143027, _143023), _143096), _143025)), _143029))]], -(hBOOL(hAPP(hAPP(c_member(_143023), _143025), c_Relation_ORange(_143027, _143023, _143029))))], (2851 ^ _82167) ^ [_143200, _143202, _143204, _143206] : [c_Predicate_ORangeP(_143200, _143202, hAPP(hAPP(c_COMBC(_143200, tc_fun(tc_prod(_143200, _143202), tc_HOL_Obool), tc_fun(_143202, tc_HOL_Obool)), hAPP(c_COMBB(tc_fun(_143202, tc_fun(tc_fun(tc_prod(_143200, _143202), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_143200, _143202), tc_HOL_Obool), tc_fun(_143202, tc_HOL_Obool)), _143200, c_COMBC(_143202, tc_fun(tc_prod(_143200, _143202), tc_HOL_Obool), tc_HOL_Obool)), hAPP(c_COMBB(tc_fun(_143202, tc_prod(_143200, _143202)), tc_fun(_143202, tc_fun(tc_fun(tc_prod(_143200, _143202), tc_HOL_Obool), tc_HOL_Obool)), _143200, c_COMBB(tc_prod(_143200, _143202), tc_fun(tc_fun(tc_prod(_143200, _143202), tc_HOL_Obool), tc_HOL_Obool), _143202, c_member(tc_prod(_143200, _143202)))), c_Product__Type_OPair(_143200, _143202)))), _143204), _143206), -(hBOOL(hAPP(hAPP(c_member(_143202), _143206), c_Relation_ORange(_143200, _143202, _143204))))], (2857 ^ _82167) ^ [_143527, _143529, _143531, _143533] : [hBOOL(hAPP(hAPP(c_member(_143529), _143533), c_Relation_ORange(_143527, _143529, _143531))), -(c_Predicate_ORangeP(_143527, _143529, hAPP(hAPP(c_COMBC(_143527, tc_fun(tc_prod(_143527, _143529), tc_HOL_Obool), tc_fun(_143529, tc_HOL_Obool)), hAPP(c_COMBB(tc_fun(_143529, tc_fun(tc_fun(tc_prod(_143527, _143529), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_143527, _143529), tc_HOL_Obool), tc_fun(_143529, tc_HOL_Obool)), _143527, c_COMBC(_143529, tc_fun(tc_prod(_143527, _143529), tc_HOL_Obool), tc_HOL_Obool)), hAPP(c_COMBB(tc_fun(_143529, tc_prod(_143527, _143529)), tc_fun(_143529, tc_fun(tc_fun(tc_prod(_143527, _143529), tc_HOL_Obool), tc_HOL_Obool)), _143527, c_COMBB(tc_prod(_143527, _143529), tc_fun(tc_fun(tc_prod(_143527, _143529), tc_HOL_Obool), tc_HOL_Obool), _143529, c_member(tc_prod(_143527, _143529)))), c_Product__Type_OPair(_143527, _143529)))), _143531), _143533))], (2863 ^ _82167) ^ [_143860, _143862, _143864] : [hBOOL(hAPP(hAPP(c_member(tc_prod(_143860, _143860)), _143862), c_Relation_OId__on(_143860, _143864))), 2867 ^ _82167 : [(2868 ^ _82167) ^ [] : [-(hBOOL(hAPP(hAPP(c_member(_143860), 2866 ^ [_143860, _143862, _143864]), _143864)))], (2870 ^ _82167) ^ [] : [-(_143862 = hAPP(hAPP(c_Product__Type_OPair(_143860, _143860), 2866 ^ [_143860, _143862, _143864]), 2866 ^ [_143860, _143862, _143864]))]]], (2872 ^ _82167) ^ [_144059, _144061, _144063, _144065] : [hBOOL(hAPP(hAPP(c_member(_144059), _144061), c_Relation_ORange(_144063, _144059, _144065))), -(hBOOL(hAPP(hAPP(c_member(tc_prod(_144063, _144059)), hAPP(hAPP(c_Product__Type_OPair(_144063, _144059), 2875 ^ [_144059, _144061, _144063, _144065]), _144061)), _144065)))], (2879 ^ _82167) ^ [_144220, _144222, _144224, _144226, _144228] : [hBOOL(hAPP(hAPP(c_member(tc_prod(_144220, _144220)), hAPP(hAPP(c_Product__Type_OPair(_144220, _144220), _144222), _144224)), c_Transitive__Closure_Ortrancl(_144220, _144226))), hBOOL(hAPP(_144228, _144222)), 2889 ^ _82167 : [(2890 ^ _82167) ^ [] : [-(hBOOL(hAPP(hAPP(c_member(tc_prod(_144220, _144220)), hAPP(hAPP(c_Product__Type_OPair(_144220, _144220), _144222), 2888 ^ [_144220, _144222, _144224, _144226, _144228])), c_Transitive__Closure_Ortrancl(_144220, _144226))))], (2893 ^ _82167) ^ [] : [-(hBOOL(hAPP(hAPP(c_member(tc_prod(_144220, _144220)), hAPP(hAPP(c_Product__Type_OPair(_144220, _144220), 2888 ^ [_144220, _144222, _144224, _144226, _144228]), 2891 ^ [_144220, _144222, _144224, _144226, _144228])), _144226)))], (2895 ^ _82167) ^ [] : [-(hBOOL(hAPP(_144228, 2888 ^ [_144220, _144222, _144224, _144226, _144228])))], (2897 ^ _82167) ^ [] : [hBOOL(hAPP(_144228, 2891 ^ [_144220, _144222, _144224, _144226, _144228]))]], -(hBOOL(hAPP(_144228, _144224)))], (2901 ^ _82167) ^ [_144831, _144833, _144835, _144837, _144839] : [hBOOL(hAPP(hAPP(c_member(tc_prod(_144831, _144831)), hAPP(hAPP(c_Product__Type_OPair(_144831, _144831), _144833), _144835)), c_Transitive__Closure_Ortrancl(_144831, _144837))), hBOOL(hAPP(_144839, _144835)), 2912 ^ _82167 : [(2913 ^ _82167) ^ [] : [-(hBOOL(hAPP(hAPP(c_member(tc_prod(_144831, _144831)), hAPP(hAPP(c_Product__Type_OPair(_144831, _144831), 2910 ^ [_144831, _144833, _144835, _144837, _144839]), 2911 ^ [_144831, _144833, _144835, _144837, _144839])), _144837)))], (2915 ^ _82167) ^ [] : [-(hBOOL(hAPP(hAPP(c_member(tc_prod(_144831, _144831)), hAPP(hAPP(c_Product__Type_OPair(_144831, _144831), 2911 ^ [_144831, _144833, _144835, _144837, _144839]), _144835)), c_Transitive__Closure_Ortrancl(_144831, _144837))))], (2917 ^ _82167) ^ [] : [-(hBOOL(hAPP(_144839, 2911 ^ [_144831, _144833, _144835, _144837, _144839])))], (2919 ^ _82167) ^ [] : [hBOOL(hAPP(_144839, 2910 ^ [_144831, _144833, _144835, _144837, _144839]))]], -(hBOOL(hAPP(_144839, _144833)))], (2923 ^ _82167) ^ [_145411, _145413, _145415, _145417] : [hBOOL(hAPP(hAPP(c_member(tc_prod(_145411, _145411)), hAPP(hAPP(c_Product__Type_OPair(_145411, _145411), _145413), _145415)), c_Transitive__Closure_Ortrancl(_145411, _145417))), -(_145413 = _145415), 2931 ^ _82167 : [(2932 ^ _82167) ^ [] : [-(hBOOL(hAPP(hAPP(c_member(tc_prod(_145411, _145411)), hAPP(hAPP(c_Product__Type_OPair(_145411, _145411), _145413), 2930 ^ [_145411, _145413, _145415, _145417])), _145417)))], (2934 ^ _82167) ^ [] : [-(hBOOL(hAPP(hAPP(c_member(tc_prod(_145411, _145411)), hAPP(hAPP(c_Product__Type_OPair(_145411, _145411), 2930 ^ [_145411, _145413, _145415, _145417]), _145415)), c_Transitive__Closure_Ortrancl(_145411, _145417))))]]], (2936 ^ _82167) ^ [_145707, _145709, _145711, _145713, _145715] : [hBOOL(hAPP(hAPP(_145707, _145709), _145711)), -(c_Predicate_ORangeP(_145713, _145715, _145707, _145711))], (2942 ^ _82167) ^ [_145825, _145827, _145829, _145831] : [c_Predicate_ORangeP(_145825, _145827, _145829, _145831), -(hBOOL(hAPP(hAPP(_145829, 2945 ^ [_145825, _145827, _145829, _145831]), _145831)))], (2949 ^ _82167) ^ [_145932, _145934, _145936, _145938] : [2950 ^ _82167 : [(2951 ^ _82167) ^ [_145982] : [hBOOL(hAPP(hAPP(_145936, _145982), _145938))]], -(c_Predicate_ORangeP(_145932, _145934, _145936, _145938))], (2977 ^ _82167) ^ [_146549, _146551, _146553] : [2979 ^ _82167 : [(2980 ^ _82167) ^ [] : [-(hBOOL(hAPP(hAPP(c_member(_146549), 2978 ^ [_146549, _146551, _146553]), _146551)))], (2983 ^ _82167) ^ [] : [-(hBOOL(hAPP(hAPP(c_member(_146549), 2981 ^ [_146549, _146551, _146553]), _146551)))], (2985 ^ _82167) ^ [] : [2978 ^ [_146549, _146551, _146553] = 2981 ^ [_146549, _146551, _146553]], (2987 ^ _82167) ^ [] : [hBOOL(hAPP(hAPP(c_member(tc_prod(_146549, _146549)), hAPP(hAPP(c_Product__Type_OPair(_146549, _146549), 2978 ^ [_146549, _146551, _146553]), 2981 ^ [_146549, _146551, _146553])), _146553))], (2989 ^ _82167) ^ [] : [hBOOL(hAPP(hAPP(c_member(tc_prod(_146549, _146549)), hAPP(hAPP(c_Product__Type_OPair(_146549, _146549), 2981 ^ [_146549, _146551, _146553]), 2978 ^ [_146549, _146551, _146553])), _146553))]], -(c_Relation_Ototal__on(_146549, _146551, _146553))], (2955 ^ _82167) ^ [_146060, _146062, _146064] : [c_Relation_Ototal__on(_146060, _146062, _146064), 2958 ^ _82167 : [(2959 ^ _82167) ^ [_146204] : [hBOOL(hAPP(hAPP(c_member(_146060), _146204), _146062)), 2962 ^ _82167 : [(2963 ^ _82167) ^ [_146344] : [hBOOL(hAPP(hAPP(c_member(_146060), _146344), _146062)), -(_146204 = _146344), -(hBOOL(hAPP(hAPP(c_member(tc_prod(_146060, _146060)), hAPP(hAPP(c_Product__Type_OPair(_146060, _146060), _146204), _146344)), _146064))), -(hBOOL(hAPP(hAPP(c_member(tc_prod(_146060, _146060)), hAPP(hAPP(c_Product__Type_OPair(_146060, _146060), _146344), _146204)), _146064)))]]]]], (2993 ^ _82167) ^ [_147158, _147160, _147162, _147164, _147166, _147168] : [hBOOL(hAPP(hAPP(c_member(tc_prod(_147158, _147158)), hAPP(hAPP(c_Product__Type_OPair(_147158, _147158), _147160), _147162)), c_Relation_Oinv__image(_147164, _147158, _147166, _147168))), -(hBOOL(hAPP(hAPP(c_member(tc_prod(_147164, _147164)), hAPP(hAPP(c_Product__Type_OPair(_147164, _147164), hAPP(_147168, _147160)), hAPP(_147168, _147162))), _147166)))], (2999 ^ _82167) ^ [_147337, _147339, _147341, _147343, _147345, _147347] : [hBOOL(hAPP(hAPP(c_member(tc_prod(_147343, _147343)), hAPP(hAPP(c_Product__Type_OPair(_147343, _147343), hAPP(_147347, _147339)), hAPP(_147347, _147341))), _147345)), -(hBOOL(hAPP(hAPP(c_member(tc_prod(_147337, _147337)), hAPP(hAPP(c_Product__Type_OPair(_147337, _147337), _147339), _147341)), c_Relation_Oinv__image(_147343, _147337, _147345, _147347))))], (3005 ^ _82167) ^ [_147522, _147524, _147526, _147528, _147530] : [c_Relation_Orefl__on(_147522, _147524, _147526), hBOOL(hAPP(hAPP(c_member(tc_prod(_147522, _147522)), hAPP(hAPP(c_Product__Type_OPair(_147522, _147522), _147528), _147530)), _147526)), -(hBOOL(hAPP(hAPP(c_member(_147522), _147530), _147524)))], (3015 ^ _82167) ^ [_147717, _147719, _147721, _147723, _147725] : [c_Relation_Orefl__on(_147717, _147719, _147721), hBOOL(hAPP(hAPP(c_member(tc_prod(_147717, _147717)), hAPP(hAPP(c_Product__Type_OPair(_147717, _147717), _147723), _147725)), _147721)), -(hBOOL(hAPP(hAPP(c_member(_147717), _147723), _147719)))], (3025 ^ _82167) ^ [_147912, _147914, _147916, _147918] : [c_Relation_Orefl__on(_147912, _147914, _147916), hBOOL(hAPP(hAPP(c_member(_147912), _147918), _147914)), -(hBOOL(hAPP(hAPP(c_member(tc_prod(_147912, _147912)), hAPP(hAPP(c_Product__Type_OPair(_147912, _147912), _147918), _147918)), _147916)))], (3035 ^ _82167) ^ [_148103, _148105] : [-(c_Relation_Orefl__on(_148103, _148105, c_Relation_OId__on(_148103, _148105)))], (3037 ^ _82167) ^ [_148132, _148134, _148136, _148138, _148140] : [c_Relation_Orefl__on(_148132, _148134, _148136), c_Relation_Orefl__on(_148132, _148138, _148140), -(c_Relation_Orefl__on(_148132, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_148132, tc_HOL_Obool)), _148134), _148138), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(_148132, _148132), tc_HOL_Obool)), _148136), _148140)))], (3047 ^ _82167) ^ [_148329, _148331, _148333, _148335] : [hBOOL(hAPP(hAPP(c_member(tc_prod(_148329, _148329)), hAPP(hAPP(c_Product__Type_OPair(_148329, _148329), _148331), _148333)), c_Transitive__Closure_Otrancl(_148329, _148335))), -(hBOOL(hAPP(hAPP(c_member(tc_prod(_148329, _148329)), hAPP(hAPP(c_Product__Type_OPair(_148329, _148329), _148331), _148333)), c_Transitive__Closure_Ortrancl(_148329, _148335))))], (3053 ^ _82167) ^ [_148498, _148500, _148502, _148504] : [-(c_Orderings_Oord__class_Oless__eq(tc_fun(_148498, tc_HOL_Obool), c_Relation_ORange(_148500, _148498, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(_148500, _148498), tc_HOL_Obool)), _148502), _148504)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_148498, tc_HOL_Obool)), c_Relation_ORange(_148500, _148498, _148502)), c_Relation_ORange(_148500, _148498, _148504))))], (3055 ^ _82167) ^ [_148568, _148570, _148572, _148574] : [-(c_Orderings_Oord__class_Oless__eq(tc_fun(_148568, tc_HOL_Obool), c_Relation_ODomain(_148568, _148570, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(_148568, _148570), tc_HOL_Obool)), _148572), _148574)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_148568, tc_HOL_Obool)), c_Relation_ODomain(_148568, _148570, _148572)), c_Relation_ODomain(_148568, _148570, _148574))))], (3057 ^ _82167) ^ [_148659, _148661, _148663, _148665] : [hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(_148659, hAPP(hAPP(c_COMBC(_148659, tc_fun(tc_prod(_148659, _148659), tc_HOL_Obool), tc_fun(_148659, tc_HOL_Obool)), hAPP(c_COMBB(tc_fun(_148659, tc_fun(tc_fun(tc_prod(_148659, _148659), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_148659, _148659), tc_HOL_Obool), tc_fun(_148659, tc_HOL_Obool)), _148659, c_COMBC(_148659, tc_fun(tc_prod(_148659, _148659), tc_HOL_Obool), tc_HOL_Obool)), hAPP(c_COMBB(tc_fun(_148659, tc_prod(_148659, _148659)), tc_fun(_148659, tc_fun(tc_fun(tc_prod(_148659, _148659), tc_HOL_Obool), tc_HOL_Obool)), _148659, c_COMBB(tc_prod(_148659, _148659), tc_fun(tc_fun(tc_prod(_148659, _148659), tc_HOL_Obool), tc_HOL_Obool), _148659, c_member(tc_prod(_148659, _148659)))), c_Product__Type_OPair(_148659, _148659)))), _148661)), _148663), _148665)), -(hBOOL(hAPP(hAPP(c_member(tc_prod(_148659, _148659)), hAPP(hAPP(c_Product__Type_OPair(_148659, _148659), _148663), _148665)), c_Transitive__Closure_Ortrancl(_148659, _148661))))], (3063 ^ _82167) ^ [_149020, _149022, _149024, _149026] : [hBOOL(hAPP(hAPP(c_member(tc_prod(_149020, _149020)), hAPP(hAPP(c_Product__Type_OPair(_149020, _149020), _149024), _149026)), c_Transitive__Closure_Ortrancl(_149020, _149022))), -(hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(_149020, hAPP(hAPP(c_COMBC(_149020, tc_fun(tc_prod(_149020, _149020), tc_HOL_Obool), tc_fun(_149020, tc_HOL_Obool)), hAPP(c_COMBB(tc_fun(_149020, tc_fun(tc_fun(tc_prod(_149020, _149020), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_149020, _149020), tc_HOL_Obool), tc_fun(_149020, tc_HOL_Obool)), _149020, c_COMBC(_149020, tc_fun(tc_prod(_149020, _149020), tc_HOL_Obool), tc_HOL_Obool)), hAPP(c_COMBB(tc_fun(_149020, tc_prod(_149020, _149020)), tc_fun(_149020, tc_fun(tc_fun(tc_prod(_149020, _149020), tc_HOL_Obool), tc_HOL_Obool)), _149020, c_COMBB(tc_prod(_149020, _149020), tc_fun(tc_fun(tc_prod(_149020, _149020), tc_HOL_Obool), tc_HOL_Obool), _149020, c_member(tc_prod(_149020, _149020)))), c_Product__Type_OPair(_149020, _149020)))), _149022)), _149024), _149026)))], (3069 ^ _82167) ^ [_149387, _149389, _149391, _149393, _149395] : [-(c_Nitpick_Owf__wfrec_H(_149387, _149389, _149391, _149393, _149395) = hAPP(hAPP(_149393, hAPP(hAPP(hAPP(c_Recdef_Ocut(_149387, _149389), c_Nitpick_Owf__wfrec(_149387, _149389, _149391, _149393)), _149391), _149395)), _149395))], (3071 ^ _82167) ^ [_149447, _149449, _149451] : [c_Orderings_Oord__class_Oless__eq(tc_fun(_149447, tc_HOL_Obool), _149449, _149451), c_Orderings_Oord__class_Oless__eq(tc_fun(_149447, tc_HOL_Obool), _149451, _149449), -(_149449 = _149451)], (3081 ^ _82167) ^ [_149596, _149598, _149600, _149602] : [hBOOL(hAPP(hAPP(_149596, _149598), _149600)), -(hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(_149602, _149596), _149598), _149600)))], (3087 ^ _82167) ^ [_149703, _149705, _149707] : [-(hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(_149703, _149705), _149707), _149707)))], (3089 ^ _82167) ^ [_149738, _149740, _149742, _149744] : [c_Orderings_Oord__class_Oless__eq(tc_fun(_149738, tc_HOL_Obool), _149740, _149742), hBOOL(hAPP(hAPP(c_member(_149738), _149744), _149740)), -(hBOOL(hAPP(hAPP(c_member(_149738), _149744), _149742)))], (3099 ^ _82167) ^ [_149911, _149913, _149915, _149917] : [hBOOL(hAPP(hAPP(c_member(tc_prod(_149911, _149911)), hAPP(hAPP(c_Product__Type_OPair(_149911, _149911), _149913), _149915)), _149917)), -(hBOOL(hAPP(hAPP(c_member(tc_prod(_149911, _149911)), hAPP(hAPP(c_Product__Type_OPair(_149911, _149911), _149913), _149915)), c_Transitive__Closure_Otrancl(_149911, _149917))))], (3105 ^ _82167) ^ [_150074, _150076, _150078, _150080, _150082] : [c_Orderings_Oord__class_Oless__eq(tc_fun(_150074, tc_HOL_Obool), _150076, _150078), -(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_fun(_150074, _150080), tc_HOL_Obool), c_FuncSet_OPi(_150074, _150080, _150078, _150082), c_FuncSet_OPi(_150074, _150080, _150076, _150082)))], (3111 ^ _82167) ^ [_150199, _150201, _150203] : [c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_150199, _150199), tc_HOL_Obool), _150201, _150203), -(c_Orderings_Oord__class_Oless__eq(tc_fun(_150199, tc_HOL_Obool), c_Wellfounded_Oacc(_150199, _150203), c_Wellfounded_Oacc(_150199, _150201)))], (3117 ^ _82167) ^ [_150312, _150314, _150316] : [_150312 = _150314, 3120 ^ _82167 : [(3121 ^ _82167) ^ [] : [-(c_Orderings_Oord__class_Oless__eq(tc_fun(_150316, tc_HOL_Obool), _150312, _150314))], (3123 ^ _82167) ^ [] : [-(c_Orderings_Oord__class_Oless__eq(tc_fun(_150316, tc_HOL_Obool), _150314, _150312))]]], (3125 ^ _82167) ^ [_150437, _150439, _150441, _150443] : [c_Orderings_Oord__class_Oless__eq(tc_fun(_150437, tc_HOL_Obool), _150439, _150441), c_Orderings_Oord__class_Oless__eq(tc_fun(_150437, tc_HOL_Obool), _150441, _150443), -(c_Orderings_Oord__class_Oless__eq(tc_fun(_150437, tc_HOL_Obool), _150439, _150443))], (3135 ^ _82167) ^ [_150598, _150600, _150602] : [_150598 = _150600, -(c_Orderings_Oord__class_Oless__eq(tc_fun(_150602, tc_HOL_Obool), _150600, _150598))], (3141 ^ _82167) ^ [_150685, _150687, _150689] : [_150685 = _150687, -(c_Orderings_Oord__class_Oless__eq(tc_fun(_150689, tc_HOL_Obool), _150685, _150687))], (3147 ^ _82167) ^ [_150790, _150792, _150794] : [_150790 = _150792, 3150 ^ _82167 : [(3151 ^ _82167) ^ [] : [-(c_Orderings_Oord__class_Oless__eq(tc_fun(_150794, tc_HOL_Obool), _150790, _150792))], (3153 ^ _82167) ^ [] : [-(c_Orderings_Oord__class_Oless__eq(tc_fun(_150794, tc_HOL_Obool), _150792, _150790))]]], (3155 ^ _82167) ^ [_150907, _150909, _150911] : [-(_150907 = _150909), c_Orderings_Oord__class_Oless__eq(tc_fun(_150911, tc_HOL_Obool), _150907, _150909), c_Orderings_Oord__class_Oless__eq(tc_fun(_150911, tc_HOL_Obool), _150909, _150907)], (3165 ^ _82167) ^ [_151058, _151060] : [-(c_Orderings_Oord__class_Oless__eq(tc_fun(_151058, tc_HOL_Obool), _151060, _151060))], (3167 ^ _82167) ^ [_151087, _151089, _151091, _151093] : [c_Orderings_Oord__class_Oless__eq(tc_fun(_151087, tc_HOL_Obool), _151089, _151091), hBOOL(hAPP(_151089, _151093)), -(hBOOL(hAPP(_151091, _151093)))], (3177 ^ _82167) ^ [_151240, _151242, _151244, _151246] : [hBOOL(hAPP(_151240, _151242)), c_Orderings_Oord__class_Oless__eq(tc_fun(_151244, tc_HOL_Obool), _151240, _151246), -(hBOOL(hAPP(_151246, _151242)))], (3187 ^ _82167) ^ [_151393, _151395, _151397, _151399, _151401] : [hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(_151393, _151395), _151397), _151399)), hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(_151393, _151395), _151399), _151401)), -(hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(_151393, _151395), _151397), _151401)))], (3197 ^ _82167) ^ [_151582, _151584, _151586, _151588, _151590] : [hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(_151582, _151584), _151586), _151588)), hBOOL(hAPP(hAPP(_151584, _151588), _151590)), -(hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(_151582, _151584), _151586), _151590)))], (3207 ^ _82167) ^ [_151765, _151767, _151769, _151771, _151773] : [hBOOL(hAPP(hAPP(_151765, _151767), _151769)), hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(_151771, _151765), _151769), _151773)), -(hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(_151771, _151765), _151767), _151773)))], (3217 ^ _82167) ^ [_151969, _151971, _151973, _151975] : [hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(_151969, _151971), _151973), _151975)), -(_151975 = _151973), 3225 ^ _82167 : [(3226 ^ _82167) ^ [] : [-(hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(_151969, _151971), _151973), 3224 ^ [_151969, _151971, _151973, _151975])))], (3228 ^ _82167) ^ [] : [-(hBOOL(hAPP(hAPP(_151971, 3224 ^ [_151969, _151971, _151973, _151975]), _151975)))]]], (3230 ^ _82167) ^ [_152171, _152173, _152175, _152177] : [-(hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(_152171, _152173), _152175), _152177))), 3231 ^ _82167 : [(3232 ^ _82167) ^ [] : [_152177 = _152175], (3234 ^ _82167) ^ [_152268] : [hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(_152171, _152173), _152175), _152268)), hBOOL(hAPP(hAPP(_152173, _152268), _152177))]]], (3242 ^ _82167) ^ [_152416, _152418, _152420] : [-(hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(_152416, _152418), _152420), _152420)))], (3244 ^ _82167) ^ [_152451, _152453] : [-(c_Transitive__Closure_Ortranclp(_152451, c_Transitive__Closure_Ortranclp(_152451, _152453)) = c_Transitive__Closure_Ortranclp(_152451, _152453))], (3246 ^ _82167) ^ [_152485, _152487, _152489, _152491] : [hBOOL(hAPP(hAPP(c_member(tc_prod(_152485, _152485)), _152487), c_Transitive__Closure_Otrancl(_152485, _152489))), c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_152485, _152485), tc_HOL_Obool), _152489, _152491), -(hBOOL(hAPP(hAPP(c_member(tc_prod(_152485, _152485)), _152487), c_Transitive__Closure_Otrancl(_152485, _152491))))], (3256 ^ _82167) ^ [_152688, _152690, _152692, _152694] : [c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_152688, _152690), tc_HOL_Obool), _152692, _152694), -(c_Orderings_Oord__class_Oless__eq(tc_fun(_152688, tc_HOL_Obool), c_Relation_ODomain(_152688, _152690, _152692), c_Relation_ODomain(_152688, _152690, _152694)))], (3262 ^ _82167) ^ [_152807, _152809, _152811] : [hBOOL(hAPP(hAPP(c_member(tc_prod(_152807, _152807)), _152809), _152811)), -(hBOOL(hAPP(hAPP(c_member(tc_prod(_152807, _152807)), _152809), c_Transitive__Closure_Otrancl(_152807, _152811))))], (3268 ^ _82167) ^ [_152932, _152934, _152936, _152938] : [c_Orderings_Oord__class_Oless__eq(tc_fun(_152932, tc_HOL_Obool), _152934, _152936), hBOOL(hAPP(hAPP(c_member(_152932), _152938), _152934)), -(hBOOL(hAPP(hAPP(c_member(_152932), _152938), _152936)))], (3278 ^ _82167) ^ [_153105, _153107, _153109, _153111] : [hBOOL(hAPP(hAPP(c_member(_153105), _153107), _153109)), c_Orderings_Oord__class_Oless__eq(tc_fun(_153105, tc_HOL_Obool), _153109, _153111), -(hBOOL(hAPP(hAPP(c_member(_153105), _153107), _153111)))], (3288 ^ _82167) ^ [_153278, _153280, _153282, _153284] : [c_Orderings_Oord__class_Oless__eq(tc_fun(_153278, tc_HOL_Obool), _153280, _153282), hBOOL(hAPP(hAPP(c_member(_153278), _153284), _153280)), -(hBOOL(hAPP(hAPP(c_member(_153278), _153284), _153282)))], (3298 ^ _82167) ^ [_153451, _153453, _153455, _153457] : [class_Lattices_Osemilattice__inf(_153451), c_Orderings_Oord__class_Oless__eq(_153451, _153453, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_153451), _153455), _153457)), 3305 ^ _82167 : [(3306 ^ _82167) ^ [] : [-(c_Orderings_Oord__class_Oless__eq(_153451, _153453, _153455))], (3308 ^ _82167) ^ [] : [-(c_Orderings_Oord__class_Oless__eq(_153451, _153453, _153457))]]], (3310 ^ _82167) ^ [_153638, _153640, _153642, _153644, _153646] : [class_Lattices_Osemilattice__inf(_153638), c_Orderings_Oord__class_Oless__eq(_153638, _153640, _153642), c_Orderings_Oord__class_Oless__eq(_153638, _153644, _153646), -(c_Orderings_Oord__class_Oless__eq(_153638, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_153638), _153640), _153644), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_153638), _153642), _153646)))], (3324 ^ _82167) ^ [_153873, _153875, _153877, _153879] : [class_Lattices_Osemilattice__inf(_153873), c_Orderings_Oord__class_Oless__eq(_153873, _153875, _153877), c_Orderings_Oord__class_Oless__eq(_153873, _153875, _153879), -(c_Orderings_Oord__class_Oless__eq(_153873, _153875, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_153873), _153877), _153879)))], (3338 ^ _82167) ^ [_154086, _154088, _154090, _154092] : [class_Lattices_Osemilattice__inf(_154086), c_Orderings_Oord__class_Oless__eq(_154086, _154088, _154090), c_Orderings_Oord__class_Oless__eq(_154086, _154088, _154092), -(c_Orderings_Oord__class_Oless__eq(_154086, _154088, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_154086), _154090), _154092)))], (3352 ^ _82167) ^ [_154299, _154301, _154303] : [class_Lattices_Osemilattice__inf(_154299), c_Orderings_Oord__class_Oless__eq(_154299, _154301, _154303), -(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_154299), _154303), _154301) = _154301)], (3362 ^ _82167) ^ [_154448, _154450, _154452] : [class_Lattices_Osemilattice__inf(_154448), c_Orderings_Oord__class_Oless__eq(_154448, _154450, _154452), -(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_154448), _154450), _154452) = _154450)], (3372 ^ _82167) ^ [_154597, _154599, _154601, _154603] : [class_Lattices_Osemilattice__inf(_154597), c_Orderings_Oord__class_Oless__eq(_154597, _154599, _154601), -(c_Orderings_Oord__class_Oless__eq(_154597, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_154597), _154603), _154599), _154601))], (3382 ^ _82167) ^ [_154752, _154754, _154756, _154758] : [class_Lattices_Osemilattice__inf(_154752), c_Orderings_Oord__class_Oless__eq(_154752, _154754, _154756), -(c_Orderings_Oord__class_Oless__eq(_154752, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_154752), _154754), _154758), _154756))], (3392 ^ _82167) ^ [_154907, _154909, _154911, _154913] : [class_Lattices_Osemilattice__inf(_154907), 3395 ^ _82167 : [(3396 ^ _82167) ^ [] : [c_Orderings_Oord__class_Oless__eq(_154907, _154909, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_154907), _154911), _154913)), 3399 ^ _82167 : [(3400 ^ _82167) ^ [] : [-(c_Orderings_Oord__class_Oless__eq(_154907, _154909, _154911))], (3402 ^ _82167) ^ [] : [-(c_Orderings_Oord__class_Oless__eq(_154907, _154909, _154913))]]], (3404 ^ _82167) ^ [] : [-(c_Orderings_Oord__class_Oless__eq(_154907, _154909, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_154907), _154911), _154913))), c_Orderings_Oord__class_Oless__eq(_154907, _154909, _154911), c_Orderings_Oord__class_Oless__eq(_154907, _154909, _154913)]]], (3414 ^ _82167) ^ [_155233, _155235, _155237] : [class_Lattices_Osemilattice__inf(_155233), 3417 ^ _82167 : [(3418 ^ _82167) ^ [] : [c_Orderings_Oord__class_Oless__eq(_155233, _155235, _155237), -(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_155233), _155235), _155237) = _155235)], (3424 ^ _82167) ^ [] : [hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_155233), _155235), _155237) = _155235, -(c_Orderings_Oord__class_Oless__eq(_155233, _155235, _155237))]]], (3430 ^ _82167) ^ [_155471, _155473, _155475] : [class_Lattices_Osemilattice__inf(_155471), -(c_Orderings_Oord__class_Oless__eq(_155471, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_155471), _155473), _155475), _155475))], (3436 ^ _82167) ^ [_155566, _155568, _155570] : [class_Lattices_Olattice(_155566), -(c_Orderings_Oord__class_Oless__eq(_155566, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_155566), _155568), _155570), _155570))], (3442 ^ _82167) ^ [_155661, _155663, _155665] : [class_Lattices_Osemilattice__inf(_155661), -(c_Orderings_Oord__class_Oless__eq(_155661, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_155661), _155663), _155665), _155663))], (3448 ^ _82167) ^ [_155756, _155758, _155760] : [class_Lattices_Olattice(_155756), -(c_Orderings_Oord__class_Oless__eq(_155756, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_155756), _155758), _155760), _155758))], (3454 ^ _82167) ^ [_155851, _155853] : [-(c_Transitive__Closure_Ortrancl(_155851, c_Transitive__Closure_Otrancl(_155851, _155853)) = c_Transitive__Closure_Ortrancl(_155851, _155853))], (3456 ^ _82167) ^ [_155885, _155887] : [-(c_Transitive__Closure_Otrancl(_155885, c_Transitive__Closure_Ortrancl(_155885, _155887)) = c_Transitive__Closure_Ortrancl(_155885, _155887))], (3458 ^ _82167) ^ [_155919, _155921, _155923, _155925, _155927] : [c_Orderings_Oord__class_Oless__eq(tc_fun(_155919, tc_HOL_Obool), _155921, _155923), c_Orderings_Oord__class_Oless__eq(tc_fun(_155919, tc_HOL_Obool), _155925, _155927), -(c_Orderings_Oord__class_Oless__eq(tc_fun(_155919, tc_HOL_Obool), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_155919, tc_HOL_Obool)), _155921), _155925), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_155919, tc_HOL_Obool)), _155923), _155927)))], (3468 ^ _82167) ^ [_156128, _156130, _156132, _156134] : [c_Orderings_Oord__class_Oless__eq(tc_fun(_156128, tc_HOL_Obool), _156130, _156132), c_Orderings_Oord__class_Oless__eq(tc_fun(_156128, tc_HOL_Obool), _156130, _156134), -(c_Orderings_Oord__class_Oless__eq(tc_fun(_156128, tc_HOL_Obool), _156130, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_156128, tc_HOL_Obool)), _156132), _156134)))], (3478 ^ _82167) ^ [_156311, _156313, _156315] : [c_Orderings_Oord__class_Oless__eq(tc_fun(_156311, tc_HOL_Obool), _156313, _156315), -(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_156311, tc_HOL_Obool)), _156315), _156313) = _156313)], (3484 ^ _82167) ^ [_156420, _156422, _156424] : [c_Orderings_Oord__class_Oless__eq(tc_fun(_156420, tc_HOL_Obool), _156422, _156424), -(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_156420, tc_HOL_Obool)), _156422), _156424) = _156422)], (3490 ^ _82167) ^ [_156529, _156531, _156533] : [-(c_Orderings_Oord__class_Oless__eq(tc_fun(_156529, tc_HOL_Obool), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_156529, tc_HOL_Obool)), _156531), _156533), _156533))], (3492 ^ _82167) ^ [_156571, _156573, _156575] : [-(c_Orderings_Oord__class_Oless__eq(tc_fun(_156571, tc_HOL_Obool), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_156571, tc_HOL_Obool)), _156573), _156575), _156573))], (3494 ^ _82167) ^ [_156613, _156615, _156617] : [c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_156613, _156613), tc_HOL_Obool), _156615, c_Transitive__Closure_Ortrancl(_156613, _156617)), -(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_156613, _156613), tc_HOL_Obool), c_Transitive__Closure_Ortrancl(_156613, _156615), c_Transitive__Closure_Ortrancl(_156613, _156617)))], (3500 ^ _82167) ^ [_156738, _156740, _156742] : [c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_156738, _156738), tc_HOL_Obool), _156740, _156742), c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_156738, _156738), tc_HOL_Obool), _156742, c_Transitive__Closure_Ortrancl(_156738, _156740)), -(c_Transitive__Closure_Ortrancl(_156738, _156742) = c_Transitive__Closure_Ortrancl(_156738, _156740))], (3510 ^ _82167) ^ [_156917, _156919, _156921] : [c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_156917, _156917), tc_HOL_Obool), _156919, _156921), -(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_156917, _156917), tc_HOL_Obool), c_Transitive__Closure_Ortrancl(_156917, _156919), c_Transitive__Closure_Ortrancl(_156917, _156921)))], (3516 ^ _82167) ^ [_157036, _157038] : [-(c_Relation_ODomain(_157036, _157036, c_Transitive__Closure_Otrancl(_157036, _157038)) = c_Relation_ODomain(_157036, _157036, _157038))], (3518 ^ _82167) ^ [_157072, _157074] : [-(c_Relation_ORange(_157072, _157072, c_Transitive__Closure_Otrancl(_157072, _157074)) = c_Relation_ORange(_157072, _157072, _157074))], (3520 ^ _82167) ^ [_157108, _157110, _157112, _157114] : [hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(_157108, _157110), _157112), _157114)), hBOOL(hAPP(c_Wellfounded_Oaccp(_157108, _157110), _157114)), -(hBOOL(hAPP(c_Wellfounded_Oaccp(_157108, _157110), _157112)))], (3530 ^ _82167) ^ [_157281, _157283, _157285, _157287] : [hBOOL(hAPP(c_Wellfounded_Oaccp(_157281, _157283), _157285)), hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(_157281, _157283), _157287), _157285)), -(hBOOL(hAPP(c_Wellfounded_Oaccp(_157281, _157283), _157287)))], (3540 ^ _82167) ^ [_157454, _157456, _157458, _157460] : [c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_157454, _157456), tc_HOL_Obool), _157458, _157460), c_Relation_Osingle__valued(_157454, _157456, _157460), -(c_Relation_Osingle__valued(_157454, _157456, _157458))], (3550 ^ _82167) ^ [_157627, _157629, _157631] : [c_Orderings_Oord__class_Oless__eq(tc_fun(_157627, tc_HOL_Obool), hAPP(hAPP(c_COMBC(_157627, tc_fun(_157627, tc_HOL_Obool), tc_HOL_Obool), c_member(_157627)), _157629), hAPP(hAPP(c_COMBC(_157627, tc_fun(_157627, tc_HOL_Obool), tc_HOL_Obool), c_member(_157627)), _157631)), -(c_Orderings_Oord__class_Oless__eq(tc_fun(_157627, tc_HOL_Obool), _157629, _157631))], (3556 ^ _82167) ^ [_157778, _157780, _157782] : [c_Orderings_Oord__class_Oless__eq(tc_fun(_157778, tc_HOL_Obool), _157780, _157782), -(c_Orderings_Oord__class_Oless__eq(tc_fun(_157778, tc_HOL_Obool), hAPP(hAPP(c_COMBC(_157778, tc_fun(_157778, tc_HOL_Obool), tc_HOL_Obool), c_member(_157778)), _157780), hAPP(hAPP(c_COMBC(_157778, tc_fun(_157778, tc_HOL_Obool), tc_HOL_Obool), c_member(_157778)), _157782)))], (3562 ^ _82167) ^ [_157935, _157937] : [-(c_Transitive__Closure_Ortranclp(_157935, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_157935, tc_fun(_157935, tc_HOL_Obool))), _157937), hAPP(c_COMBB(tc_fun(_157935, tc_HOL_Obool), tc_fun(_157935, tc_HOL_Obool), _157935, c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _157935, c_fNot)), c_fequal))) = c_Transitive__Closure_Ortranclp(_157935, _157937))], (3564 ^ _82167) ^ [_157999, _158001, _158003, _158005, _158007] : [hBOOL(hAPP(hAPP(c_member(tc_prod(_157999, _157999)), hAPP(hAPP(c_Product__Type_OPair(_157999, _157999), _158001), _158003)), c_Transitive__Closure_Otrancl(_157999, _158005))), hBOOL(hAPP(hAPP(c_member(tc_prod(_157999, _157999)), hAPP(hAPP(c_Product__Type_OPair(_157999, _157999), _158003), _158007)), c_Transitive__Closure_Otrancl(_157999, _158005))), -(hBOOL(hAPP(hAPP(c_member(tc_prod(_157999, _157999)), hAPP(hAPP(c_Product__Type_OPair(_157999, _157999), _158001), _158007)), c_Transitive__Closure_Otrancl(_157999, _158005))))], (3574 ^ _82167) ^ [_158272, _158274, _158276, _158278, _158280] : [hBOOL(hAPP(hAPP(c_member(tc_prod(_158272, _158272)), hAPP(hAPP(c_Product__Type_OPair(_158272, _158272), _158274), _158276)), c_Transitive__Closure_Otrancl(_158272, _158278))), hBOOL(hAPP(hAPP(c_member(tc_prod(_158272, _158272)), hAPP(hAPP(c_Product__Type_OPair(_158272, _158272), _158276), _158280)), _158278)), -(hBOOL(hAPP(hAPP(c_member(tc_prod(_158272, _158272)), hAPP(hAPP(c_Product__Type_OPair(_158272, _158272), _158274), _158280)), c_Transitive__Closure_Otrancl(_158272, _158278))))], (3584 ^ _82167) ^ [_158539, _158541, _158543, _158545, _158547] : [hBOOL(hAPP(hAPP(c_member(tc_prod(_158539, _158539)), hAPP(hAPP(c_Product__Type_OPair(_158539, _158539), _158541), _158543)), _158545)), hBOOL(hAPP(hAPP(c_member(tc_prod(_158539, _158539)), hAPP(hAPP(c_Product__Type_OPair(_158539, _158539), _158543), _158547)), c_Transitive__Closure_Otrancl(_158539, _158545))), -(hBOOL(hAPP(hAPP(c_member(tc_prod(_158539, _158539)), hAPP(hAPP(c_Product__Type_OPair(_158539, _158539), _158541), _158547)), c_Transitive__Closure_Otrancl(_158539, _158545))))], (3594 ^ _82167) ^ [_158806, _158808, _158810, _158812, _158814] : [hBOOL(hAPP(hAPP(c_member(tc_prod(_158806, _158806)), hAPP(hAPP(c_Product__Type_OPair(_158806, _158806), _158808), _158810)), _158812)), hBOOL(hAPP(hAPP(c_member(tc_prod(_158806, _158806)), hAPP(hAPP(c_Product__Type_OPair(_158806, _158806), _158810), _158814)), _158812)), -(hBOOL(hAPP(hAPP(c_member(tc_prod(_158806, _158806)), hAPP(hAPP(c_Product__Type_OPair(_158806, _158806), _158808), _158814)), c_Transitive__Closure_Otrancl(_158806, _158812))))], (3604 ^ _82167) ^ [_159067, _159069, _159071, _159073, _159075] : [hBOOL(hAPP(hAPP(c_member(tc_fun(_159067, _159069)), _159071), c_FuncSet_Oextensional(_159067, _159069, _159073))), c_Orderings_Oord__class_Oless__eq(tc_fun(_159067, tc_HOL_Obool), _159073, _159075), -(hBOOL(hAPP(hAPP(c_member(tc_fun(_159067, _159069)), _159071), c_FuncSet_Oextensional(_159067, _159069, _159075))))], (3614 ^ _82167) ^ [_159293, _159295, _159297, _159299] : [hBOOL(hAPP(hAPP(c_member(tc_prod(_159293, _159293)), hAPP(hAPP(c_Product__Type_OPair(_159293, _159293), _159295), _159297)), c_Transitive__Closure_Ortrancl(_159293, _159299))), -(_159295 = _159297), 3621 ^ _82167 : [(3622 ^ _82167) ^ [] : [_159295 = _159297], (3624 ^ _82167) ^ [] : [-(hBOOL(hAPP(hAPP(c_member(tc_prod(_159293, _159293)), hAPP(hAPP(c_Product__Type_OPair(_159293, _159293), _159295), _159297)), c_Transitive__Closure_Otrancl(_159293, _159299))))]]], (3626 ^ _82167) ^ [_159551, _159553, _159555, _159557] : [-(hBOOL(hAPP(hAPP(c_member(tc_prod(_159551, _159551)), hAPP(hAPP(c_Product__Type_OPair(_159551, _159551), _159553), _159555)), c_Transitive__Closure_Ortrancl(_159551, _159557)))), 3627 ^ _82167 : [(3628 ^ _82167) ^ [] : [_159553 = _159555], (3630 ^ _82167) ^ [] : [-(_159553 = _159555), hBOOL(hAPP(hAPP(c_member(tc_prod(_159551, _159551)), hAPP(hAPP(c_Product__Type_OPair(_159551, _159551), _159553), _159555)), c_Transitive__Closure_Otrancl(_159551, _159557)))]]], (3638 ^ _82167) ^ [_159817, _159819, _159821, _159823, _159825] : [hBOOL(hAPP(hAPP(c_member(tc_prod(_159817, _159817)), hAPP(hAPP(c_Product__Type_OPair(_159817, _159817), _159819), _159821)), _159823)), hBOOL(hAPP(hAPP(c_member(tc_prod(_159817, _159817)), hAPP(hAPP(c_Product__Type_OPair(_159817, _159817), _159821), _159825)), c_Transitive__Closure_Ortrancl(_159817, _159823))), -(hBOOL(hAPP(hAPP(c_member(tc_prod(_159817, _159817)), hAPP(hAPP(c_Product__Type_OPair(_159817, _159817), _159819), _159825)), c_Transitive__Closure_Otrancl(_159817, _159823))))], (3648 ^ _82167) ^ [_160084, _160086, _160088, _160090] : [hBOOL(hAPP(hAPP(c_member(tc_prod(_160084, _160084)), hAPP(hAPP(c_Product__Type_OPair(_160084, _160084), _160086), _160088)), c_Transitive__Closure_Ortrancl(_160084, _160090))), -(_160086 = _160088), 3655 ^ _82167 : [(3656 ^ _82167) ^ [] : [_160086 = _160088], (3658 ^ _82167) ^ [] : [-(hBOOL(hAPP(hAPP(c_member(tc_prod(_160084, _160084)), hAPP(hAPP(c_Product__Type_OPair(_160084, _160084), _160086), _160088)), c_Transitive__Closure_Otrancl(_160084, _160090))))]]], (3660 ^ _82167) ^ [_160346, _160348, _160350, _160352, _160354] : [hBOOL(hAPP(hAPP(c_member(tc_prod(_160346, _160346)), hAPP(hAPP(c_Product__Type_OPair(_160346, _160346), _160348), _160350)), c_Transitive__Closure_Ortrancl(_160346, _160352))), hBOOL(hAPP(hAPP(c_member(tc_prod(_160346, _160346)), hAPP(hAPP(c_Product__Type_OPair(_160346, _160346), _160350), _160354)), _160352)), -(hBOOL(hAPP(hAPP(c_member(tc_prod(_160346, _160346)), hAPP(hAPP(c_Product__Type_OPair(_160346, _160346), _160348), _160354)), c_Transitive__Closure_Otrancl(_160346, _160352))))], (3670 ^ _82167) ^ [_160613, _160615, _160617, _160619, _160621] : [hBOOL(hAPP(hAPP(c_member(tc_prod(_160613, _160613)), hAPP(hAPP(c_Product__Type_OPair(_160613, _160613), _160615), _160617)), c_Transitive__Closure_Otrancl(_160613, _160619))), hBOOL(hAPP(hAPP(c_member(tc_prod(_160613, _160613)), hAPP(hAPP(c_Product__Type_OPair(_160613, _160613), _160617), _160621)), c_Transitive__Closure_Ortrancl(_160613, _160619))), -(hBOOL(hAPP(hAPP(c_member(tc_prod(_160613, _160613)), hAPP(hAPP(c_Product__Type_OPair(_160613, _160613), _160615), _160621)), c_Transitive__Closure_Otrancl(_160613, _160619))))], (3680 ^ _82167) ^ [_160886, _160888, _160890, _160892, _160894] : [hBOOL(hAPP(hAPP(c_member(tc_prod(_160886, _160886)), hAPP(hAPP(c_Product__Type_OPair(_160886, _160886), _160888), _160890)), c_Transitive__Closure_Ortrancl(_160886, _160892))), hBOOL(hAPP(hAPP(c_member(tc_prod(_160886, _160886)), hAPP(hAPP(c_Product__Type_OPair(_160886, _160886), _160890), _160894)), c_Transitive__Closure_Otrancl(_160886, _160892))), -(hBOOL(hAPP(hAPP(c_member(tc_prod(_160886, _160886)), hAPP(hAPP(c_Product__Type_OPair(_160886, _160886), _160888), _160894)), c_Transitive__Closure_Otrancl(_160886, _160892))))], (3690 ^ _82167) ^ [_161159, _161161] : [class_Orderings_Opreorder(_161159), -(c_Orderings_Oord__class_Oless__eq(_161159, _161161, _161161))], (3696 ^ _82167) ^ [_161236, _161238, _161240, _161242] : [class_Orderings_Oord(_161236), 3699 ^ _82167 : [(3700 ^ _82167) ^ [] : [c_Orderings_Oord__class_Oless__eq(tc_fun(_161238, _161236), _161240, _161242), 3703 ^ _82167 : [(3704 ^ _82167) ^ [_161375] : [-(c_Orderings_Oord__class_Oless__eq(_161236, hAPP(_161240, _161375), hAPP(_161242, _161375)))]]], (3706 ^ _82167) ^ [] : [c_Orderings_Oord__class_Oless__eq(_161236, hAPP(_161240, 3707 ^ [_161236, _161238, _161240, _161242]), hAPP(_161242, 3707 ^ [_161236, _161238, _161240, _161242])), -(c_Orderings_Oord__class_Oless__eq(tc_fun(_161238, _161236), _161240, _161242))]]], (3713 ^ _82167) ^ [_161540, _161542, _161544, _161546, _161548] : [class_Orderings_Oord(_161540), c_Orderings_Oord__class_Oless__eq(tc_fun(_161542, _161540), _161544, _161546), -(c_Orderings_Oord__class_Oless__eq(_161540, hAPP(_161544, _161548), hAPP(_161546, _161548)))], (3723 ^ _82167) ^ [_161701, _161703, _161705, _161707, _161709] : [class_Orderings_Oord(_161701), c_Orderings_Oord__class_Oless__eq(tc_fun(_161703, _161701), _161705, _161707), -(c_Orderings_Oord__class_Oless__eq(_161701, hAPP(_161705, _161709), hAPP(_161707, _161709)))], (3733 ^ _82167) ^ [_161862, _161864, _161866, _161868] : [hBOOL(hAPP(hAPP(c_member(tc_prod(_161862, _161862)), hAPP(hAPP(c_Product__Type_OPair(_161862, _161862), _161864), _161866)), c_Transitive__Closure_Otrancl(_161862, _161868))), 3737 ^ _82167 : [(3738 ^ _82167) ^ [] : [-(hBOOL(hAPP(hAPP(c_member(tc_prod(_161862, _161862)), hAPP(hAPP(c_Product__Type_OPair(_161862, _161862), _161864), 3736 ^ [_161862, _161864, _161866, _161868])), c_Transitive__Closure_Ortrancl(_161862, _161868))))], (3740 ^ _82167) ^ [] : [-(hBOOL(hAPP(hAPP(c_member(tc_prod(_161862, _161862)), hAPP(hAPP(c_Product__Type_OPair(_161862, _161862), 3736 ^ [_161862, _161864, _161866, _161868]), _161866)), _161868)))]]], (3742 ^ _82167) ^ [_162122, _162124, _162126] : [c_Orderings_Oord__class_Oless__eq(tc_fun(_162122, tc_fun(_162122, tc_HOL_Obool)), _162124, _162126), -(c_Orderings_Oord__class_Oless__eq(tc_fun(_162122, tc_fun(_162122, tc_HOL_Obool)), c_Transitive__Closure_Ortranclp(_162122, _162124), c_Transitive__Closure_Ortranclp(_162122, _162126)))], (3748 ^ _82167) ^ [_162241, _162243, _162245] : [c_Orderings_Oord__class_Oless__eq(tc_fun(_162241, tc_fun(_162241, tc_HOL_Obool)), _162243, _162245), c_Orderings_Oord__class_Oless__eq(tc_fun(_162241, tc_fun(_162241, tc_HOL_Obool)), _162245, c_Transitive__Closure_Ortranclp(_162241, _162243)), -(c_Transitive__Closure_Ortranclp(_162241, _162245) = c_Transitive__Closure_Ortranclp(_162241, _162243))], (3758 ^ _82167) ^ [_162420, _162422, _162424] : [c_Orderings_Oord__class_Oless__eq(tc_fun(_162420, tc_fun(_162420, tc_HOL_Obool)), _162422, _162424), -(c_Orderings_Oord__class_Oless__eq(tc_fun(_162420, tc_HOL_Obool), c_Wellfounded_Oaccp(_162420, _162424), c_Wellfounded_Oaccp(_162420, _162422)))], (3764 ^ _82167) ^ [_162554, _162556, _162558, _162560] : [c_Orderings_Oord__class_Oless__eq(tc_fun(_162554, tc_fun(_162556, tc_HOL_Obool)), hAPP(hAPP(c_COMBC(_162554, tc_fun(tc_prod(_162554, _162556), tc_HOL_Obool), tc_fun(_162556, tc_HOL_Obool)), hAPP(c_COMBB(tc_fun(_162556, tc_fun(tc_fun(tc_prod(_162554, _162556), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_162554, _162556), tc_HOL_Obool), tc_fun(_162556, tc_HOL_Obool)), _162554, c_COMBC(_162556, tc_fun(tc_prod(_162554, _162556), tc_HOL_Obool), tc_HOL_Obool)), hAPP(c_COMBB(tc_fun(_162556, tc_prod(_162554, _162556)), tc_fun(_162556, tc_fun(tc_fun(tc_prod(_162554, _162556), tc_HOL_Obool), tc_HOL_Obool)), _162554, c_COMBB(tc_prod(_162554, _162556), tc_fun(tc_fun(tc_prod(_162554, _162556), tc_HOL_Obool), tc_HOL_Obool), _162556, c_member(tc_prod(_162554, _162556)))), c_Product__Type_OPair(_162554, _162556)))), _162558), hAPP(hAPP(c_COMBC(_162554, tc_fun(tc_prod(_162554, _162556), tc_HOL_Obool), tc_fun(_162556, tc_HOL_Obool)), hAPP(c_COMBB(tc_fun(_162556, tc_fun(tc_fun(tc_prod(_162554, _162556), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_162554, _162556), tc_HOL_Obool), tc_fun(_162556, tc_HOL_Obool)), _162554, c_COMBC(_162556, tc_fun(tc_prod(_162554, _162556), tc_HOL_Obool), tc_HOL_Obool)), hAPP(c_COMBB(tc_fun(_162556, tc_prod(_162554, _162556)), tc_fun(_162556, tc_fun(tc_fun(tc_prod(_162554, _162556), tc_HOL_Obool), tc_HOL_Obool)), _162554, c_COMBB(tc_prod(_162554, _162556), tc_fun(tc_fun(tc_prod(_162554, _162556), tc_HOL_Obool), tc_HOL_Obool), _162556, c_member(tc_prod(_162554, _162556)))), c_Product__Type_OPair(_162554, _162556)))), _162560)), -(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_162554, _162556), tc_HOL_Obool), _162558, _162560))], (3770 ^ _82167) ^ [_163107, _163109, _163111, _163113] : [c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_163107, _163109), tc_HOL_Obool), _163111, _163113), -(c_Orderings_Oord__class_Oless__eq(tc_fun(_163107, tc_fun(_163109, tc_HOL_Obool)), hAPP(hAPP(c_COMBC(_163107, tc_fun(tc_prod(_163107, _163109), tc_HOL_Obool), tc_fun(_163109, tc_HOL_Obool)), hAPP(c_COMBB(tc_fun(_163109, tc_fun(tc_fun(tc_prod(_163107, _163109), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_163107, _163109), tc_HOL_Obool), tc_fun(_163109, tc_HOL_Obool)), _163107, c_COMBC(_163109, tc_fun(tc_prod(_163107, _163109), tc_HOL_Obool), tc_HOL_Obool)), hAPP(c_COMBB(tc_fun(_163109, tc_prod(_163107, _163109)), tc_fun(_163109, tc_fun(tc_fun(tc_prod(_163107, _163109), tc_HOL_Obool), tc_HOL_Obool)), _163107, c_COMBB(tc_prod(_163107, _163109), tc_fun(tc_fun(tc_prod(_163107, _163109), tc_HOL_Obool), tc_HOL_Obool), _163109, c_member(tc_prod(_163107, _163109)))), c_Product__Type_OPair(_163107, _163109)))), _163111), hAPP(hAPP(c_COMBC(_163107, tc_fun(tc_prod(_163107, _163109), tc_HOL_Obool), tc_fun(_163109, tc_HOL_Obool)), hAPP(c_COMBB(tc_fun(_163109, tc_fun(tc_fun(tc_prod(_163107, _163109), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_163107, _163109), tc_HOL_Obool), tc_fun(_163109, tc_HOL_Obool)), _163107, c_COMBC(_163109, tc_fun(tc_prod(_163107, _163109), tc_HOL_Obool), tc_HOL_Obool)), hAPP(c_COMBB(tc_fun(_163109, tc_prod(_163107, _163109)), tc_fun(_163109, tc_fun(tc_fun(tc_prod(_163107, _163109), tc_HOL_Obool), tc_HOL_Obool)), _163107, c_COMBB(tc_prod(_163107, _163109), tc_fun(tc_fun(tc_prod(_163107, _163109), tc_HOL_Obool), tc_HOL_Obool), _163109, c_member(tc_prod(_163107, _163109)))), c_Product__Type_OPair(_163107, _163109)))), _163113)))], (3776 ^ _82167) ^ [_163666, _163668, _163670] : [class_Orderings_Olinorder(_163666), -(c_Orderings_Oord__class_Oless__eq(_163666, _163668, _163670)), -(c_Orderings_Oord__class_Oless__eq(_163666, _163670, _163668))], (3786 ^ _82167) ^ [_163762, _163764, _163766, _163768] : [class_Orderings_Oorder(_163762), c_Orderings_Oord__class_Oless__eq(_163762, _163764, _163766), c_Orderings_Oord__class_Oless__eq(_163762, _163768, _163764), -(c_Orderings_Oord__class_Oless__eq(_163762, _163768, _163766))], (3800 ^ _82167) ^ [_163959, _163961, _163963] : [class_Orderings_Oorder(_163959), c_Orderings_Oord__class_Oless__eq(_163959, _163961, _163963), c_Orderings_Oord__class_Oless__eq(_163959, _163963, _163961), -(_163963 = _163961)], (3814 ^ _82167) ^ [_164148, _164150, _164152, _164154] : [class_Orderings_Opreorder(_164148), c_Orderings_Oord__class_Oless__eq(_164148, _164150, _164152), c_Orderings_Oord__class_Oless__eq(_164148, _164152, _164154), -(c_Orderings_Oord__class_Oless__eq(_164148, _164150, _164154))], (3828 ^ _82167) ^ [_164345, _164347, _164349] : [class_Orderings_Oorder(_164345), c_Orderings_Oord__class_Oless__eq(_164345, _164347, _164349), c_Orderings_Oord__class_Oless__eq(_164345, _164349, _164347), -(_164347 = _164349)], (3842 ^ _82167) ^ [_164534, _164536, _164538, _164540] : [class_Orderings_Oorder(_164534), c_Orderings_Oord__class_Oless__eq(_164534, _164536, _164538), _164536 = _164540, -(c_Orderings_Oord__class_Oless__eq(_164534, _164540, _164538))], (3856 ^ _82167) ^ [_164729, _164731, _164733, _164735] : [class_Orderings_Oord(_164729), c_Orderings_Oord__class_Oless__eq(_164729, _164731, _164733), _164733 = _164735, -(c_Orderings_Oord__class_Oless__eq(_164729, _164731, _164735))], (3870 ^ _82167) ^ [_164924, _164926, _164928, _164930] : [class_Orderings_Oorder(_164924), _164926 = _164928, c_Orderings_Oord__class_Oless__eq(_164924, _164930, _164928), -(c_Orderings_Oord__class_Oless__eq(_164924, _164930, _164926))], (3884 ^ _82167) ^ [_165119, _165121, _165123, _165125] : [class_Orderings_Oord(_165119), _165121 = _165123, c_Orderings_Oord__class_Oless__eq(_165119, _165123, _165125), -(c_Orderings_Oord__class_Oless__eq(_165119, _165121, _165125))], (3898 ^ _82167) ^ [_165314, _165316, _165318] : [class_Orderings_Oorder(_165314), c_Orderings_Oord__class_Oless__eq(_165314, _165316, _165318), 3905 ^ _82167 : [(3906 ^ _82167) ^ [] : [c_Orderings_Oord__class_Oless__eq(_165314, _165318, _165316), -(_165318 = _165316)], (3912 ^ _82167) ^ [] : [_165318 = _165316, -(c_Orderings_Oord__class_Oless__eq(_165314, _165318, _165316))]]], (3918 ^ _82167) ^ [_165584, _165586, _165588] : [class_Orderings_Opreorder(_165584), _165586 = _165588, -(c_Orderings_Oord__class_Oless__eq(_165584, _165586, _165588))], (3928 ^ _82167) ^ [_165717, _165719, _165721] : [class_Orderings_Oorder(_165717), 3931 ^ _82167 : [(3932 ^ _82167) ^ [] : [_165719 = _165721, 3935 ^ _82167 : [(3936 ^ _82167) ^ [] : [-(c_Orderings_Oord__class_Oless__eq(_165717, _165719, _165721))], (3938 ^ _82167) ^ [] : [-(c_Orderings_Oord__class_Oless__eq(_165717, _165721, _165719))]]], (3940 ^ _82167) ^ [] : [-(_165719 = _165721), c_Orderings_Oord__class_Oless__eq(_165717, _165719, _165721), c_Orderings_Oord__class_Oless__eq(_165717, _165721, _165719)]]], (3950 ^ _82167) ^ [_166008, _166010, _166012] : [class_Orderings_Olinorder(_166008), -(c_Orderings_Oord__class_Oless__eq(_166008, _166010, _166012)), -(c_Orderings_Oord__class_Oless__eq(_166008, _166012, _166010))], (3960 ^ _82167) ^ [_166102, _166104, _166106, _166108, _166110] : [c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, hAPP(_166102, _166104), hAPP(_166102, _166106)), hBOOL(hAPP(hAPP(c_member(tc_prod(_166108, _166108)), hAPP(hAPP(c_Product__Type_OPair(_166108, _166108), _166104), _166106)), _166110)), -(hBOOL(hAPP(hAPP(c_member(tc_prod(_166108, _166108)), hAPP(hAPP(c_Product__Type_OPair(_166108, _166108), _166104), _166106)), c_Wellfounded_Omlex__prod(_166108, _166102, _166110))))], (3970 ^ _82167) ^ [_166341, _166343, _166345, _166347, _166349] : [3972 ^ _82167 : [(3973 ^ _82167) ^ [] : [-(hBOOL(hAPP(hAPP(c_member(_166341), 3971 ^ [_166341, _166343, _166345, _166347, _166349]), _166343)))], (3975 ^ _82167) ^ [] : [c_Orderings_Oord__class_Oless__eq(tc_fun(_166345, tc_HOL_Obool), hAPP(_166347, 3971 ^ [_166341, _166343, _166345, _166347, _166349]), hAPP(_166349, 3971 ^ [_166341, _166343, _166345, _166347, _166349]))]], -(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_fun(_166341, _166345), tc_HOL_Obool), c_FuncSet_OPi(_166341, _166345, _166343, _166347), c_FuncSet_OPi(_166341, _166345, _166343, _166349)))], (3979 ^ _82167) ^ [_166596, _166598, _166600, _166602] : [hBOOL(hAPP(hAPP(c_member(tc_prod(_166596, _166596)), hAPP(hAPP(c_Product__Type_OPair(_166596, _166596), _166598), _166600)), c_Transitive__Closure_Otrancl(_166596, _166602))), 3983 ^ _82167 : [(3984 ^ _82167) ^ [] : [-(hBOOL(hAPP(hAPP(c_member(tc_prod(_166596, _166596)), hAPP(hAPP(c_Product__Type_OPair(_166596, _166596), _166598), 3982 ^ [_166596, _166598, _166600, _166602])), _166602)))], (3986 ^ _82167) ^ [] : [-(hBOOL(hAPP(hAPP(c_member(tc_prod(_166596, _166596)), hAPP(hAPP(c_Product__Type_OPair(_166596, _166596), 3982 ^ [_166596, _166598, _166600, _166602]), _166600)), c_Transitive__Closure_Ortrancl(_166596, _166602))))]]], (3988 ^ _82167) ^ [_166871, _166873] : [c_Wellfounded_Oacyclic(_166871, _166873), 3991 ^ _82167 : [(3992 ^ _82167) ^ [_166956] : [hBOOL(hAPP(hAPP(c_member(tc_prod(_166871, _166871)), hAPP(hAPP(c_Product__Type_OPair(_166871, _166871), _166956), _166956)), c_Transitive__Closure_Otrancl(_166871, _166873)))]]], (3994 ^ _82167) ^ [_166999, _167001] : [-(hBOOL(hAPP(hAPP(c_member(tc_prod(_166999, _166999)), hAPP(hAPP(c_Product__Type_OPair(_166999, _166999), 3995 ^ [_166999, _167001]), 3995 ^ [_166999, _167001])), c_Transitive__Closure_Otrancl(_166999, _167001)))), -(c_Wellfounded_Oacyclic(_166999, _167001))], (4001 ^ _82167) ^ [_167073, _167075, _167077, _167079, _167081, _167083] : [hBOOL(hAPP(hAPP(_167073, _167075), _167077)), c_Orderings_Oord__class_Oless__eq(tc_fun(_167079, tc_fun(_167081, tc_HOL_Obool)), _167073, _167083), -(hBOOL(hAPP(hAPP(_167083, _167075), _167077)))], (4011 ^ _82167) ^ [_167252, _167254, _167256, _167258, _167260, _167262] : [c_Orderings_Oord__class_Oless__eq(tc_fun(_167252, tc_fun(_167254, tc_HOL_Obool)), _167256, _167258), hBOOL(hAPP(hAPP(_167256, _167260), _167262)), -(hBOOL(hAPP(hAPP(_167258, _167260), _167262)))], (4021 ^ _82167) ^ [_167431, _167433, _167435] : [c_Wellfounded_Oacyclic(_167431, _167433), c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_167431, _167431), tc_HOL_Obool), _167435, _167433), -(c_Wellfounded_Oacyclic(_167431, _167435))], (4031 ^ _82167) ^ [_167574, _167576] : [-(hBOOL(hAPP(hAPP(c_member(tc_prod(_167574, _167574)), hAPP(hAPP(c_Product__Type_OPair(_167574, _167574), 4032 ^ [_167574, _167576]), 4032 ^ [_167574, _167576])), c_Transitive__Closure_Otrancl(_167574, _167576)))), -(c_Wellfounded_Oacyclic(_167574, _167576))], (4038 ^ _82167) ^ [_167646, _167648, _167650, _167652, _167654] : [hBOOL(hAPP(hAPP(c_member(tc_prod(_167646, _167646)), hAPP(hAPP(c_Product__Type_OPair(_167646, _167646), _167648), _167650)), c_Transitive__Closure_Ortrancl(_167646, _167652))), c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_167646, _167646), tc_HOL_Obool), _167652, c_Product__Type_OSigma(_167646, _167646, _167654, c_COMBK(tc_fun(_167646, tc_HOL_Obool), _167646, _167654))), -(_167648 = _167650), -(hBOOL(hAPP(hAPP(c_member(_167646), _167648), _167654)))], (4052 ^ _82167) ^ [_167917, _167919, _167921, _167923] : [c_Wellfounded_Oacyclic(_167917, c_Set_Oinsert(tc_prod(_167917, _167917), hAPP(hAPP(c_Product__Type_OPair(_167917, _167917), _167919), _167921), _167923)), 4055 ^ _82167 : [(4056 ^ _82167) ^ [] : [-(c_Wellfounded_Oacyclic(_167917, _167923))], (4058 ^ _82167) ^ [] : [hBOOL(hAPP(hAPP(c_member(tc_prod(_167917, _167917)), hAPP(hAPP(c_Product__Type_OPair(_167917, _167917), _167921), _167919)), c_Transitive__Closure_Ortrancl(_167917, _167923)))]]], (4060 ^ _82167) ^ [_168104, _168106, _168108, _168110] : [-(c_Wellfounded_Oacyclic(_168104, c_Set_Oinsert(tc_prod(_168104, _168104), hAPP(hAPP(c_Product__Type_OPair(_168104, _168104), _168106), _168108), _168110))), c_Wellfounded_Oacyclic(_168104, _168110), -(hBOOL(hAPP(hAPP(c_member(tc_prod(_168104, _168104)), hAPP(hAPP(c_Product__Type_OPair(_168104, _168104), _168108), _168106)), c_Transitive__Closure_Ortrancl(_168104, _168110))))], (4070 ^ _82167) ^ [_168322, _168324, _168326, _168328] : [4071 ^ _82167 : [(4072 ^ _82167) ^ [] : [hBOOL(hAPP(hAPP(c_member(_168322), _168324), _168326))], (4074 ^ _82167) ^ [] : [_168324 = _168328]], -(hBOOL(hAPP(hAPP(c_member(_168322), _168324), c_Set_Oinsert(_168322, _168328, _168326))))], (4078 ^ _82167) ^ [_168479, _168481, _168483, _168485] : [hBOOL(hAPP(hAPP(c_member(_168479), _168481), c_Set_Oinsert(_168479, _168483, _168485))), -(_168481 = _168483), -(hBOOL(hAPP(hAPP(c_member(_168479), _168481), _168485)))], (4088 ^ _82167) ^ [_168611, _168613, _168615, _168617, _168619, _168621] : [hBOOL(hAPP(hAPP(c_member(_168611), _168613), _168615)), hBOOL(hAPP(hAPP(c_member(_168617), _168619), hAPP(_168621, _168613))), -(hBOOL(hAPP(hAPP(c_member(tc_prod(_168611, _168617)), hAPP(hAPP(c_Product__Type_OPair(_168611, _168617), _168613), _168619)), c_Product__Type_OSigma(_168611, _168617, _168615, _168621))))], (4098 ^ _82167) ^ [_168838, _168840, _168842] : [-(c_Orderings_Oord__class_Oless__eq(tc_fun(_168838, tc_HOL_Obool), _168840, c_Set_Oinsert(_168838, _168842, _168840)))], (4100 ^ _82167) ^ [_168873, _168875, _168877, _168879] : [c_Orderings_Oord__class_Oless__eq(tc_fun(_168873, tc_HOL_Obool), _168875, _168877), -(c_Orderings_Oord__class_Oless__eq(tc_fun(_168873, tc_HOL_Obool), _168875, c_Set_Oinsert(_168873, _168879, _168877)))], (4106 ^ _82167) ^ [_168978, _168980, _168982, _168984] : [c_Orderings_Oord__class_Oless__eq(tc_fun(_168978, tc_HOL_Obool), _168980, _168982), -(c_Orderings_Oord__class_Oless__eq(tc_fun(_168978, tc_HOL_Obool), c_Set_Oinsert(_168978, _168984, _168980), c_Set_Oinsert(_168978, _168984, _168982)))], (4112 ^ _82167) ^ [_169091, _169093, _169095, _169097, _169099] : [-(c_Relation_ORange(_169091, _169093, c_Set_Oinsert(tc_prod(_169091, _169093), hAPP(hAPP(c_Product__Type_OPair(_169091, _169093), _169095), _169097), _169099)) = c_Set_Oinsert(_169093, _169097, c_Relation_ORange(_169091, _169093, _169099)))], (4114 ^ _82167) ^ [_169150, _169152, _169154] : [-(c_Set_Oinsert(_169150, _169152, c_Set_Oinsert(_169150, _169152, _169154)) = c_Set_Oinsert(_169150, _169152, _169154))], (4116 ^ _82167) ^ [_169189, _169191, _169193, _169195] : [-(c_Set_Oinsert(_169189, _169191, c_Set_Oinsert(_169189, _169193, _169195)) = c_Set_Oinsert(_169189, _169193, c_Set_Oinsert(_169189, _169191, _169195)))], (4128 ^ _82167) ^ [_169361, _169363, _169365, _169367] : [4129 ^ _82167 : [(4130 ^ _82167) ^ [] : [_169363 = _169367], (4132 ^ _82167) ^ [] : [hBOOL(hAPP(_169365, _169367))]], -(hBOOL(hAPP(c_Set_Oinsert(_169361, _169363, _169365), _169367)))], (4118 ^ _82167) ^ [_169255, _169257, _169259, _169261] : [hBOOL(hAPP(c_Set_Oinsert(_169255, _169257, _169259), _169261)), -(_169257 = _169261), -(hBOOL(hAPP(_169259, _169261)))], (4136 ^ _82167) ^ [_169498, _169500, _169502, _169504, _169506] : [-(c_Relation_ODomain(_169498, _169500, c_Set_Oinsert(tc_prod(_169498, _169500), hAPP(hAPP(c_Product__Type_OPair(_169498, _169500), _169502), _169504), _169506)) = c_Set_Oinsert(_169498, _169502, c_Relation_ODomain(_169498, _169500, _169506)))], (4138 ^ _82167) ^ [_169557, _169559, _169561] : [hBOOL(hAPP(hAPP(c_member(_169557), _169559), _169561)), -(c_Set_Oinsert(_169557, _169559, _169561) = _169561)], (4144 ^ _82167) ^ [_169658, _169660, _169662, _169664] : [hBOOL(hAPP(hAPP(c_member(_169658), _169660), _169662)), -(hBOOL(hAPP(hAPP(c_member(_169658), _169660), c_Set_Oinsert(_169658, _169664, _169662))))], (4150 ^ _82167) ^ [_169774, _169776, _169778, _169780] : [-(hBOOL(hAPP(hAPP(c_member(_169774), _169776), _169778))), -(hBOOL(hAPP(hAPP(c_member(_169774), _169776), _169780))), 4157 ^ _82167 : [(4158 ^ _82167) ^ [] : [c_Set_Oinsert(_169774, _169776, _169778) = c_Set_Oinsert(_169774, _169776, _169780), -(_169778 = _169780)], (4164 ^ _82167) ^ [] : [_169778 = _169780, -(c_Set_Oinsert(_169774, _169776, _169778) = c_Set_Oinsert(_169774, _169776, _169780))]]], (4180 ^ _82167) ^ [_170242, _170244, _170246, _170248] : [4181 ^ _82167 : [(4182 ^ _82167) ^ [] : [_170244 = _170246], (4184 ^ _82167) ^ [] : [hBOOL(hAPP(hAPP(c_member(_170242), _170244), _170248))]], -(hBOOL(hAPP(hAPP(c_member(_170242), _170244), c_Set_Oinsert(_170242, _170246, _170248))))], (4170 ^ _82167) ^ [_170116, _170118, _170120, _170122] : [hBOOL(hAPP(hAPP(c_member(_170116), _170118), c_Set_Oinsert(_170116, _170120, _170122))), -(_170118 = _170120), -(hBOOL(hAPP(hAPP(c_member(_170116), _170118), _170122)))], (4188 ^ _82167) ^ [_170399, _170401, _170403] : [-(hBOOL(hAPP(hAPP(c_member(_170399), _170401), c_Set_Oinsert(_170399, _170401, _170403))))], (4190 ^ _82167) ^ [_170437, _170439, _170441, _170443, _170445, _170447] : [hBOOL(hAPP(hAPP(c_member(_170437), _170439), _170441)), 4193 ^ _82167 : [(4194 ^ _82167) ^ [] : [c_Product__Type_OSigma(_170443, _170437, _170445, c_COMBK(tc_fun(_170437, tc_HOL_Obool), _170443, _170441)) = c_Product__Type_OSigma(_170443, _170437, _170447, c_COMBK(tc_fun(_170437, tc_HOL_Obool), _170443, _170441)), -(_170445 = _170447)], (4200 ^ _82167) ^ [] : [_170445 = _170447, -(c_Product__Type_OSigma(_170443, _170437, _170445, c_COMBK(tc_fun(_170437, tc_HOL_Obool), _170443, _170441)) = c_Product__Type_OSigma(_170443, _170437, _170447, c_COMBK(tc_fun(_170437, tc_HOL_Obool), _170443, _170441)))]]], (4206 ^ _82167) ^ [_170754, _170756, _170758, _170760] : [-(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_170754, tc_HOL_Obool)), c_Set_Oinsert(_170754, _170756, _170758)), c_Set_Oinsert(_170754, _170756, _170760)) = c_Set_Oinsert(_170754, _170756, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_170754, tc_HOL_Obool)), _170758), _170760)))], (4208 ^ _82167) ^ [_170838, _170840, _170842, _170844] : [c_Orderings_Oord__class_Oless__eq(tc_fun(_170838, tc_HOL_Obool), c_Set_Oinsert(_170838, _170840, _170842), _170844), 4211 ^ _82167 : [(4212 ^ _82167) ^ [] : [-(hBOOL(hAPP(hAPP(c_member(_170838), _170840), _170844)))], (4214 ^ _82167) ^ [] : [-(c_Orderings_Oord__class_Oless__eq(tc_fun(_170838, tc_HOL_Obool), _170842, _170844))]]], (4216 ^ _82167) ^ [_170979, _170981, _170983, _170985] : [-(c_Orderings_Oord__class_Oless__eq(tc_fun(_170979, tc_HOL_Obool), c_Set_Oinsert(_170979, _170981, _170983), _170985)), hBOOL(hAPP(hAPP(c_member(_170979), _170981), _170985)), c_Orderings_Oord__class_Oless__eq(tc_fun(_170979, tc_HOL_Obool), _170983, _170985)], (4226 ^ _82167) ^ [_171155, _171157, _171159, _171161] : [-(hBOOL(hAPP(hAPP(c_member(_171155), _171157), _171159))), 4229 ^ _82167 : [(4230 ^ _82167) ^ [] : [c_Orderings_Oord__class_Oless__eq(tc_fun(_171155, tc_HOL_Obool), _171159, c_Set_Oinsert(_171155, _171157, _171161)), -(c_Orderings_Oord__class_Oless__eq(tc_fun(_171155, tc_HOL_Obool), _171159, _171161))], (4236 ^ _82167) ^ [] : [c_Orderings_Oord__class_Oless__eq(tc_fun(_171155, tc_HOL_Obool), _171159, _171161), -(c_Orderings_Oord__class_Oless__eq(tc_fun(_171155, tc_HOL_Obool), _171159, c_Set_Oinsert(_171155, _171157, _171161)))]]], (4242 ^ _82167) ^ [_171430, _171432, _171434, _171436] : [hBOOL(hAPP(hAPP(c_member(_171430), _171432), _171434)), -(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_171430, tc_HOL_Obool)), _171434), c_Set_Oinsert(_171430, _171432, _171436)) = c_Set_Oinsert(_171430, _171432, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_171430, tc_HOL_Obool)), _171434), _171436)))], (4248 ^ _82167) ^ [_171579, _171581, _171583, _171585] : [-(hBOOL(hAPP(hAPP(c_member(_171579), _171581), _171583))), -(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_171579, tc_HOL_Obool)), _171583), c_Set_Oinsert(_171579, _171581, _171585)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_171579, tc_HOL_Obool)), _171583), _171585))], (4254 ^ _82167) ^ [_171669, _171671, _171673, _171675] : [hBOOL(hAPP(hAPP(c_member(_171669), _171671), _171673)), -(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_171669, tc_HOL_Obool)), c_Set_Oinsert(_171669, _171671, _171675)), _171673) = c_Set_Oinsert(_171669, _171671, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_171669, tc_HOL_Obool)), _171675), _171673)))], (4260 ^ _82167) ^ [_171818, _171820, _171822, _171824] : [-(hBOOL(hAPP(hAPP(c_member(_171818), _171820), _171822))), -(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_171818, tc_HOL_Obool)), c_Set_Oinsert(_171818, _171820, _171824)), _171822) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_171818, tc_HOL_Obool)), _171824), _171822))], (4266 ^ _82167) ^ [_171889, _171891, _171893, _171895] : [-(hBOOL(hAPP(hAPP(c_member(_171889), _171891), _171893))), -(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_171889, tc_HOL_Obool)), _171893), c_Set_Oinsert(_171889, _171891, _171895)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_171889, tc_HOL_Obool)), _171893), _171895))], (4272 ^ _82167) ^ [_171958, _171960, _171962, _171964] : [-(hBOOL(hAPP(hAPP(c_member(_171958), _171960), _171962))), -(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_171958, tc_HOL_Obool)), c_Set_Oinsert(_171958, _171960, _171964)), _171962) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_171958, tc_HOL_Obool)), _171964), _171962))], (4278 ^ _82167) ^ [_172031, _172033, _172035, _172037] : [hBOOL(hAPP(hAPP(c_member(_172031), _172033), _172035)), -(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_172031, tc_HOL_Obool)), _172035), c_Set_Oinsert(_172031, _172033, _172037)) = c_Set_Oinsert(_172031, _172033, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_172031, tc_HOL_Obool)), _172035), _172037)))], (4284 ^ _82167) ^ [_172186, _172188, _172190, _172192] : [hBOOL(hAPP(hAPP(c_member(_172186), _172188), _172190)), -(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_172186, tc_HOL_Obool)), c_Set_Oinsert(_172186, _172188, _172192)), _172190) = c_Set_Oinsert(_172186, _172188, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_172186, tc_HOL_Obool)), _172192), _172190)))], (4290 ^ _82167) ^ [_172341, _172343, _172345] : [c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_172341, _172341), tc_HOL_Obool), _172343, c_Product__Type_OSigma(_172341, _172341, _172345, c_COMBK(tc_fun(_172341, tc_HOL_Obool), _172341, _172345))), -(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_172341, _172341), tc_HOL_Obool), c_Transitive__Closure_Otrancl(_172341, _172343), c_Product__Type_OSigma(_172341, _172341, _172345, c_COMBK(tc_fun(_172341, tc_HOL_Obool), _172341, _172345))))], (4296 ^ _82167) ^ [_172502, _172504, _172506, _172508, _172510] : [-(c_Product__Type_OSigma(_172502, _172504, _172506, hAPP(hAPP(c_COMBS(_172502, tc_fun(_172504, tc_HOL_Obool), tc_fun(_172504, tc_HOL_Obool)), hAPP(c_COMBB(tc_fun(_172504, tc_HOL_Obool), tc_fun(tc_fun(_172504, tc_HOL_Obool), tc_fun(_172504, tc_HOL_Obool)), _172502, c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_172504, tc_HOL_Obool))), _172508)), _172510)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(_172502, _172504), tc_HOL_Obool)), c_Product__Type_OSigma(_172502, _172504, _172506, _172508)), c_Product__Type_OSigma(_172502, _172504, _172506, _172510)))], (4298 ^ _82167) ^ [_172603, _172605, _172607, _172609, _172611] : [-(c_Product__Type_OSigma(_172603, _172605, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_172603, tc_HOL_Obool)), _172607), _172609), c_COMBK(tc_fun(_172605, tc_HOL_Obool), _172603, _172611)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(_172603, _172605), tc_HOL_Obool)), c_Product__Type_OSigma(_172603, _172605, _172607, c_COMBK(tc_fun(_172605, tc_HOL_Obool), _172603, _172611))), c_Product__Type_OSigma(_172603, _172605, _172609, c_COMBK(tc_fun(_172605, tc_HOL_Obool), _172603, _172611))))], (4300 ^ _82167) ^ [_172695, _172697, _172699, _172701, _172703] : [-(c_Product__Type_OSigma(_172695, _172697, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_172695, tc_HOL_Obool)), _172699), _172701), _172703) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(_172695, _172697), tc_HOL_Obool)), c_Product__Type_OSigma(_172695, _172697, _172699, _172703)), c_Product__Type_OSigma(_172695, _172697, _172701, _172703)))], (4302 ^ _82167) ^ [_172766, _172768] : [-(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_172766, _172766), tc_HOL_Obool), c_Relation_OId__on(_172766, _172768), c_Product__Type_OSigma(_172766, _172766, _172768, c_COMBK(tc_fun(_172766, tc_HOL_Obool), _172766, _172768))))], (4304 ^ _82167) ^ [_172840, _172842, _172844, _172846, _172848, _172850] : [hBOOL(hAPP(hAPP(c_member(tc_prod(_172840, _172842)), hAPP(hAPP(c_Product__Type_OPair(_172840, _172842), _172844), _172846)), c_Product__Type_OSigma(_172840, _172842, _172848, _172850))), 4307 ^ _82167 : [(4308 ^ _82167) ^ [] : [-(hBOOL(hAPP(hAPP(c_member(_172840), _172844), _172848)))], (4310 ^ _82167) ^ [] : [-(hBOOL(hAPP(hAPP(c_member(_172842), _172846), hAPP(_172850, _172844))))]]], (4312 ^ _82167) ^ [_173029, _173031, _173033, _173035, _173037, _173039] : [-(hBOOL(hAPP(hAPP(c_member(tc_prod(_173029, _173031)), hAPP(hAPP(c_Product__Type_OPair(_173029, _173031), _173033), _173035)), c_Product__Type_OSigma(_173029, _173031, _173037, _173039)))), hBOOL(hAPP(hAPP(c_member(_173029), _173033), _173037)), hBOOL(hAPP(hAPP(c_member(_173031), _173035), hAPP(_173039, _173033)))], (4322 ^ _82167) ^ [_173258, _173260, _173262, _173264, _173266, _173268] : [hBOOL(hAPP(hAPP(c_member(tc_prod(_173258, _173260)), hAPP(hAPP(c_Product__Type_OPair(_173258, _173260), _173262), _173264)), c_Product__Type_OSigma(_173258, _173260, _173266, _173268))), -(hBOOL(hAPP(hAPP(c_member(_173258), _173262), _173266)))], (4328 ^ _82167) ^ [_173405, _173407, _173409, _173411, _173413, _173415] : [hBOOL(hAPP(hAPP(c_member(tc_prod(_173405, _173407)), hAPP(hAPP(c_Product__Type_OPair(_173405, _173407), _173409), _173411)), c_Product__Type_OSigma(_173405, _173407, _173413, _173415))), -(hBOOL(hAPP(hAPP(c_member(_173407), _173411), hAPP(_173415, _173409))))], (4334 ^ _82167) ^ [_173558, _173560, _173562, _173564, _173566, _173568] : [hBOOL(hAPP(hAPP(c_member(tc_prod(_173558, _173560)), hAPP(hAPP(c_Product__Type_OPair(_173558, _173560), _173562), _173564)), c_Product__Type_OSigma(_173558, _173560, _173566, _173568))), 4337 ^ _82167 : [(4338 ^ _82167) ^ [] : [-(hBOOL(hAPP(hAPP(c_member(_173558), _173562), _173566)))], (4340 ^ _82167) ^ [] : [-(hBOOL(hAPP(hAPP(c_member(_173560), _173564), hAPP(_173568, _173562))))]]], (4342 ^ _82167) ^ [_173755, _173757, _173759, _173761, _173763, _173765] : [hBOOL(hAPP(hAPP(c_member(_173755), _173757), _173759)), 4345 ^ _82167 : [(4346 ^ _82167) ^ [] : [c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_173761, _173755), tc_HOL_Obool), c_Product__Type_OSigma(_173761, _173755, _173763, c_COMBK(tc_fun(_173755, tc_HOL_Obool), _173761, _173759)), c_Product__Type_OSigma(_173761, _173755, _173765, c_COMBK(tc_fun(_173755, tc_HOL_Obool), _173761, _173759))), -(c_Orderings_Oord__class_Oless__eq(tc_fun(_173761, tc_HOL_Obool), _173763, _173765))], (4352 ^ _82167) ^ [] : [c_Orderings_Oord__class_Oless__eq(tc_fun(_173761, tc_HOL_Obool), _173763, _173765), -(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_173761, _173755), tc_HOL_Obool), c_Product__Type_OSigma(_173761, _173755, _173763, c_COMBK(tc_fun(_173755, tc_HOL_Obool), _173761, _173759)), c_Product__Type_OSigma(_173761, _173755, _173765, c_COMBK(tc_fun(_173755, tc_HOL_Obool), _173761, _173759))))]]], (4358 ^ _82167) ^ [_174123, _174125, _174127] : [c_Relation_Orefl__on(_174123, _174125, _174127), 4361 ^ _82167 : [(4362 ^ _82167) ^ [] : [-(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_174123, _174123), tc_HOL_Obool), _174127, c_Product__Type_OSigma(_174123, _174123, _174125, c_COMBK(tc_fun(_174123, tc_HOL_Obool), _174123, _174125))))], (4364 ^ _82167) ^ [_174281] : [hBOOL(hAPP(hAPP(c_member(_174123), _174281), _174125)), -(hBOOL(hAPP(hAPP(c_member(tc_prod(_174123, _174123)), hAPP(hAPP(c_Product__Type_OPair(_174123, _174123), _174281), _174281)), _174127)))]]], (4370 ^ _82167) ^ [_174416, _174418, _174420] : [-(c_Relation_Orefl__on(_174416, _174418, _174420)), c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_174416, _174416), tc_HOL_Obool), _174420, c_Product__Type_OSigma(_174416, _174416, _174418, c_COMBK(tc_fun(_174416, tc_HOL_Obool), _174416, _174418))), 4376 ^ _82167 : [(4377 ^ _82167) ^ [] : [-(hBOOL(hAPP(hAPP(c_member(_174416), 4375 ^ [_174416, _174418, _174420]), _174418)))], (4379 ^ _82167) ^ [] : [hBOOL(hAPP(hAPP(c_member(tc_prod(_174416, _174416)), hAPP(hAPP(c_Product__Type_OPair(_174416, _174416), 4375 ^ [_174416, _174418, _174420]), 4375 ^ [_174416, _174418, _174420])), _174420))]]], (4383 ^ _82167) ^ [_174741, _174743, _174745] : [c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_174741, _174741), tc_HOL_Obool), _174743, c_Product__Type_OSigma(_174741, _174741, _174745, c_COMBK(tc_fun(_174741, tc_HOL_Obool), _174741, _174745))), 4389 ^ _82167 : [(4390 ^ _82167) ^ [] : [-(hBOOL(hAPP(hAPP(c_member(_174741), 4388 ^ [_174741, _174743, _174745]), _174745)))], (4392 ^ _82167) ^ [] : [hBOOL(hAPP(hAPP(c_member(tc_prod(_174741, _174741)), hAPP(hAPP(c_Product__Type_OPair(_174741, _174741), 4388 ^ [_174741, _174743, _174745]), 4388 ^ [_174741, _174743, _174745])), _174743))]], -(c_Relation_Orefl__on(_174741, _174745, _174743))], (4396 ^ _82167) ^ [_175063, _175065, _175067, _175069, _175071, _175073] : [-(hBOOL(hAPP(hAPP(c_member(_175063), _175065), _175067))), hBOOL(hAPP(hAPP(c_member(tc_fun(_175063, _175069)), _175071), c_FuncSet_Oextensional__funcset(_175063, _175069, c_Set_Oinsert(_175063, _175065, _175067), _175073))), -(hBOOL(hAPP(hAPP(c_member(tc_fun(_175063, _175069)), c_Fun_Ofun__upd(_175063, _175069, _175071, _175065, c_HOL_Oundefined(_175069))), c_FuncSet_Oextensional__funcset(_175063, _175069, _175067, _175073))))], (4406 ^ _82167) ^ [_175297, _175299, _175301, _175303, _175305] : [hBOOL(hAPP(hAPP(c_member(tc_prod(_175297, _175299)), _175301), c_Product__Type_OSigma(_175297, _175299, _175303, _175305))), 4410 ^ _82167 : [(4411 ^ _82167) ^ [] : [-(hBOOL(hAPP(hAPP(c_member(_175297), 4409 ^ [_175297, _175299, _175301, _175303, _175305]), _175303)))], (4414 ^ _82167) ^ [] : [-(hBOOL(hAPP(hAPP(c_member(_175299), 4412 ^ [_175297, _175299, _175301, _175303, _175305]), hAPP(_175305, 4409 ^ [_175297, _175299, _175301, _175303, _175305]))))], (4416 ^ _82167) ^ [] : [-(_175301 = hAPP(hAPP(c_Product__Type_OPair(_175297, _175299), 4409 ^ [_175297, _175299, _175301, _175303, _175305]), 4412 ^ [_175297, _175299, _175301, _175303, _175305]))]]], (4418 ^ _82167) ^ [_175591, _175593, _175595, _175597, _175599, _175601, _175603] : [hBOOL(hAPP(hAPP(c_member(_175591), _175593), _175595)), hBOOL(hAPP(hAPP(c_member(tc_fun(_175597, _175591)), _175599), c_FuncSet_Oextensional__funcset(_175597, _175591, _175601, _175595))), -(hBOOL(hAPP(hAPP(c_member(tc_fun(_175597, _175591)), c_Fun_Ofun__upd(_175597, _175591, _175599, _175603, _175593)), c_FuncSet_Oextensional__funcset(_175597, _175591, c_Set_Oinsert(_175597, _175603, _175601), _175595))))], (4428 ^ _82167) ^ [_175834, _175836, _175838, _175840] : [-(c_Fun_Ofun__upd(_175834, _175836, _175838, _175840, hAPP(_175838, _175840)) = _175838)], (4430 ^ _82167) ^ [_175872, _175874, _175876, _175878, _175880, _175882] : [c_Orderings_Oord__class_Oless__eq(tc_fun(_175872, tc_HOL_Obool), _175874, _175876), 4436 ^ _82167 : [(4437 ^ _82167) ^ [] : [-(hBOOL(hAPP(hAPP(c_member(_175872), 4435 ^ [_175872, _175874, _175876, _175878, _175880, _175882]), _175874)))], (4439 ^ _82167) ^ [] : [c_Orderings_Oord__class_Oless__eq(tc_fun(_175878, tc_HOL_Obool), hAPP(_175880, 4435 ^ [_175872, _175874, _175876, _175878, _175880, _175882]), hAPP(_175882, 4435 ^ [_175872, _175874, _175876, _175878, _175880, _175882]))]], -(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_175872, _175878), tc_HOL_Obool), c_Product__Type_OSigma(_175872, _175878, _175874, _175880), c_Product__Type_OSigma(_175872, _175878, _175876, _175882)))], (4443 ^ _82167) ^ [_176226, _176228, _176230, _176232, _176234, _176236] : [_176226 = _176228, -(hAPP(c_Fun_Ofun__upd(_176230, _176232, _176234, _176228, _176236), _176226) = _176236)], (4449 ^ _82167) ^ [_176323, _176325, _176327, _176329, _176331, _176333] : [-(_176323 = _176325), -(hAPP(c_Fun_Ofun__upd(_176327, _176329, _176331, _176325, _176333), _176323) = hAPP(_176331, _176323))], (4455 ^ _82167) ^ [_176381, _176383, _176385, _176387, _176389] : [hAPP(_176381, _176383) = _176385, -(c_Fun_Ofun__upd(_176387, _176389, _176381, _176383, _176385) = _176381)], (4461 ^ _82167) ^ [_176478, _176480, _176482, _176484, _176486, _176488] : [-(_176478 = _176480), -(hAPP(c_Fun_Ofun__upd(_176482, _176484, _176486, _176480, _176488), _176478) = hAPP(_176486, _176478))], (4467 ^ _82167) ^ [_176530, _176532, _176534, _176536, _176538, _176540, _176542] : [-(_176530 = _176532), -(c_Fun_Ofun__upd(_176534, _176536, c_Fun_Ofun__upd(_176534, _176536, _176538, _176530, _176540), _176532, _176542) = c_Fun_Ofun__upd(_176534, _176536, c_Fun_Ofun__upd(_176534, _176536, _176538, _176532, _176542), _176530, _176540))], (4473 ^ _82167) ^ [_176621, _176623, _176625, _176627, _176629, _176631] : [_176621 = _176623, -(hAPP(c_Fun_Ofun__upd(_176625, _176627, _176629, _176623, _176631), _176621) = _176631)], (4479 ^ _82167) ^ [_176718, _176720, _176722, _176724, _176726, _176728] : [-(_176718 = _176720), -(hAPP(c_Fun_Ofun__upd(_176722, _176724, _176726, _176720, _176728), _176718) = hAPP(_176726, _176718))], (4485 ^ _82167) ^ [_176776, _176778, _176780, _176782, _176784] : [-(hAPP(c_Fun_Ofun__upd(_176776, _176778, _176780, _176782, _176784), _176782) = _176784)], (4487 ^ _82167) ^ [_176816, _176818, _176820, _176822, _176824, _176826] : [-(c_Fun_Ofun__upd(_176816, _176818, c_Fun_Ofun__upd(_176816, _176818, _176820, _176822, _176824), _176822, _176826) = c_Fun_Ofun__upd(_176816, _176818, _176820, _176822, _176826))], (4489 ^ _82167) ^ [_176891, _176893, _176895, _176897, _176899] : [c_Fun_Ofun__upd(_176891, _176893, _176895, _176897, _176899) = _176895, -(hAPP(_176895, _176897) = _176899)], (4495 ^ _82167) ^ [_176988, _176990, _176992, _176994, _176996] : [hAPP(_176992, _176994) = _176996, -(c_Fun_Ofun__upd(_176988, _176990, _176992, _176994, _176996) = _176992)], (4501 ^ _82167) ^ [_177091, _177093, _177095, _177097, _177099, _177101] : [-(c_Product__Type_OSigma(_177091, _177093, c_Set_Oinsert(_177091, _177095, _177097), c_COMBK(tc_fun(_177093, tc_HOL_Obool), _177091, c_Set_Oinsert(_177093, _177099, _177101))) = c_Set_Oinsert(tc_prod(_177091, _177093), hAPP(hAPP(c_Product__Type_OPair(_177091, _177093), _177095), _177099), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_177091, _177093), tc_HOL_Obool)), c_Product__Type_OSigma(_177091, _177093, _177097, c_COMBK(tc_fun(_177093, tc_HOL_Obool), _177091, c_Set_Oinsert(_177093, _177099, _177101)))), c_Product__Type_OSigma(_177091, _177093, c_Set_Oinsert(_177091, _177095, _177097), c_COMBK(tc_fun(_177093, tc_HOL_Obool), _177091, _177101)))))], (4503 ^ _82167) ^ [_177206, _177208] : [-(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_177206, _177206), tc_HOL_Obool), c_Transitive__Closure_Otrancl(_177206, _177208), c_Product__Type_OSigma(_177206, _177206, c_Relation_OField(_177206, _177208), c_COMBK(tc_fun(_177206, tc_HOL_Obool), _177206, c_Relation_OField(_177206, _177208)))))], (4505 ^ _82167) ^ [_177259, _177261, _177263] : [-(c_Wellfounded_Omlex__prod(_177259, _177261, _177263) = c_Relation_Oinv__image(tc_prod(tc_Nat_Onat, _177259), _177259, c_Wellfounded_Olex__prod(tc_Nat_Onat, _177259, c_Wellfounded_Oless__than, _177263), hAPP(hAPP(c_COMBS(_177259, _177259, tc_prod(tc_Nat_Onat, _177259)), hAPP(c_COMBB(tc_Nat_Onat, tc_fun(_177259, tc_prod(tc_Nat_Onat, _177259)), _177259, c_Product__Type_OPair(tc_Nat_Onat, _177259)), _177261)), c_COMBI(_177259))))], (4507 ^ _82167) ^ [_177335, _177337, _177339, _177341] : [4508 ^ _82167 : [(4509 ^ _82167) ^ [] : [hBOOL(hAPP(_177335, _177337))], (4511 ^ _82167) ^ [] : [hBOOL(hAPP(_177339, _177337))]], -(hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_177341, tc_HOL_Obool)), _177339), _177335), _177337)))], (4515 ^ _82167) ^ [_177490, _177492, _177494, _177496] : [hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_177490, tc_HOL_Obool)), _177492), _177494), _177496)), -(hBOOL(hAPP(_177492, _177496))), -(hBOOL(hAPP(_177494, _177496)))], (4525 ^ _82167) ^ [_177620, _177622, _177624, _177626] : [hBOOL(hAPP(hAPP(c_member(_177620), _177622), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_177620, tc_HOL_Obool)), _177624), _177626))), -(hBOOL(hAPP(hAPP(c_member(_177620), _177622), _177624))), -(hBOOL(hAPP(hAPP(c_member(_177620), _177622), _177626)))], (4535 ^ _82167) ^ [_177780, _177782, _177784, _177786] : [4536 ^ _82167 : [(4537 ^ _82167) ^ [] : [hBOOL(hAPP(hAPP(c_member(_177780), _177782), _177784))], (4539 ^ _82167) ^ [] : [hBOOL(hAPP(hAPP(c_member(_177780), _177782), _177786))]], -(hBOOL(hAPP(hAPP(c_member(_177780), _177782), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_177780, tc_HOL_Obool)), _177786), _177784))))], (4543 ^ _82167) ^ [_177965, _177967, _177969, _177971, _177973] : [-(c_Product__Type_OSigma(_177965, _177967, _177969, hAPP(hAPP(c_COMBS(_177965, tc_fun(_177967, tc_HOL_Obool), tc_fun(_177967, tc_HOL_Obool)), hAPP(c_COMBB(tc_fun(_177967, tc_HOL_Obool), tc_fun(tc_fun(_177967, tc_HOL_Obool), tc_fun(_177967, tc_HOL_Obool)), _177965, c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_177967, tc_HOL_Obool))), _177971)), _177973)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_177965, _177967), tc_HOL_Obool)), c_Product__Type_OSigma(_177965, _177967, _177969, _177971)), c_Product__Type_OSigma(_177965, _177967, _177969, _177973)))], (4545 ^ _82167) ^ [_178066, _178068, _178070, _178072, _178074] : [-(c_Product__Type_OSigma(_178066, _178068, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_178066, tc_HOL_Obool)), _178070), _178072), c_COMBK(tc_fun(_178068, tc_HOL_Obool), _178066, _178074)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_178066, _178068), tc_HOL_Obool)), c_Product__Type_OSigma(_178066, _178068, _178070, c_COMBK(tc_fun(_178068, tc_HOL_Obool), _178066, _178074))), c_Product__Type_OSigma(_178066, _178068, _178072, c_COMBK(tc_fun(_178068, tc_HOL_Obool), _178066, _178074))))], (4547 ^ _82167) ^ [_178158, _178160, _178162, _178164, _178166] : [-(c_Product__Type_OSigma(_178158, _178160, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_178158, tc_HOL_Obool)), _178162), _178164), _178166) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_178158, _178160), tc_HOL_Obool)), c_Product__Type_OSigma(_178158, _178160, _178162, _178166)), c_Product__Type_OSigma(_178158, _178160, _178164, _178166)))], (4549 ^ _82167) ^ [_178229, _178231, _178233, _178235] : [-(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_178229, tc_HOL_Obool)), _178231), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_178229, tc_HOL_Obool)), _178233), _178235)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_178229, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_178229, tc_HOL_Obool)), _178231), _178233)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_178229, tc_HOL_Obool)), _178231), _178235)))], (4551 ^ _82167) ^ [_178313, _178315, _178317, _178319] : [-(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_178313, tc_HOL_Obool)), _178315), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_178313, tc_HOL_Obool)), _178317), _178319)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_178313, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_178313, tc_HOL_Obool)), _178315), _178317)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_178313, tc_HOL_Obool)), _178315), _178319)))], (4553 ^ _82167) ^ [_178397, _178399, _178401, _178403] : [-(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_178397, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_178397, tc_HOL_Obool)), _178399), _178401)), _178403) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_178397, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_178397, tc_HOL_Obool)), _178399), _178403)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_178397, tc_HOL_Obool)), _178401), _178403)))], (4555 ^ _82167) ^ [_178481, _178483, _178485, _178487] : [-(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_178481, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_178481, tc_HOL_Obool)), _178483), _178485)), _178487) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_178481, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_178481, tc_HOL_Obool)), _178483), _178487)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_178481, tc_HOL_Obool)), _178485), _178487)))], (4557 ^ _82167) ^ [_178565, _178567, _178569, _178571] : [-(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_178565, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_178565, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_178565, tc_HOL_Obool)), _178567), _178569)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_178565, tc_HOL_Obool)), _178569), _178571))), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_178565, tc_HOL_Obool)), _178571), _178567)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_178565, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_178565, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_178565, tc_HOL_Obool)), _178567), _178569)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_178565, tc_HOL_Obool)), _178569), _178571))), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_178565, tc_HOL_Obool)), _178571), _178567)))], (4559 ^ _82167) ^ [_178704, _178706, _178708] : [-(c_Transitive__Closure_Ortrancl(_178704, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_178704, _178704), tc_HOL_Obool)), c_Transitive__Closure_Ortrancl(_178704, _178706)), c_Transitive__Closure_Ortrancl(_178704, _178708))) = c_Transitive__Closure_Ortrancl(_178704, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_178704, _178704), tc_HOL_Obool)), _178706), _178708)))], (4561 ^ _82167) ^ [_178771, _178773] : [-(c_Relation_OField(_178771, _178773) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_178771, tc_HOL_Obool)), c_Relation_ODomain(_178771, _178771, _178773)), c_Relation_ORange(_178771, _178771, _178773)))], (4563 ^ _82167) ^ [_178839, _178841, _178843, _178845] : [hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_178839, tc_HOL_Obool)), hAPP(hAPP(c_COMBC(_178839, tc_fun(_178839, tc_HOL_Obool), tc_HOL_Obool), c_member(_178839)), _178841)), hAPP(hAPP(c_COMBC(_178839, tc_fun(_178839, tc_HOL_Obool), tc_HOL_Obool), c_member(_178839)), _178843)), _178845)), -(hBOOL(hAPP(hAPP(c_member(_178839), _178845), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_178839, tc_HOL_Obool)), _178841), _178843))))], (4569 ^ _82167) ^ [_179038, _179040, _179042, _179044] : [hBOOL(hAPP(hAPP(c_member(_179038), _179044), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_179038, tc_HOL_Obool)), _179040), _179042))), -(hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_179038, tc_HOL_Obool)), hAPP(hAPP(c_COMBC(_179038, tc_fun(_179038, tc_HOL_Obool), tc_HOL_Obool), c_member(_179038)), _179040)), hAPP(hAPP(c_COMBC(_179038, tc_fun(_179038, tc_HOL_Obool), tc_HOL_Obool), c_member(_179038)), _179042)), _179044)))], (4575 ^ _82167) ^ [_179243, _179245, _179247, _179249, _179251] : [c_Relation_Orefl__on(_179243, _179245, _179247), c_Relation_Orefl__on(_179243, _179249, _179251), -(c_Relation_Orefl__on(_179243, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_179243, tc_HOL_Obool)), _179245), _179249), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_179243, _179243), tc_HOL_Obool)), _179247), _179251)))], (4585 ^ _82167) ^ [_179440, _179442, _179444] : [class_Lattices_Olattice(_179440), -(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_179440), _179442), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_179440), _179442), _179444)) = _179442)], (4591 ^ _82167) ^ [_179549, _179551, _179553] : [class_Lattices_Olattice(_179549), -(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_179549), _179551), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_179549), _179551), _179553)) = _179551)], (4597 ^ _82167) ^ [_179658, _179660, _179662, _179664] : [class_Lattices_Odistrib__lattice(_179658), -(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_179658), _179660), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_179658), _179662), _179664)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_179658), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_179658), _179660), _179662)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_179658), _179660), _179664)))], (4603 ^ _82167) ^ [_179817, _179819, _179821, _179823] : [class_Lattices_Odistrib__lattice(_179817), -(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_179817), _179819), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_179817), _179821), _179823)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_179817), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_179817), _179819), _179821)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_179817), _179819), _179823)))], (4609 ^ _82167) ^ [_179976, _179978, _179980, _179982] : [class_Lattices_Odistrib__lattice(_179976), -(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_179976), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_179976), _179978), _179980)), _179982) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_179976), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_179976), _179978), _179982)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_179976), _179980), _179982)))], (4615 ^ _82167) ^ [_180135, _180137, _180139, _180141] : [class_Lattices_Odistrib__lattice(_180135), -(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_180135), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_180135), _180137), _180139)), _180141) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_180135), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_180135), _180137), _180141)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_180135), _180139), _180141)))], (4631 ^ _82167) ^ [_180469, _180471, _180473, _180475] : [4632 ^ _82167 : [(4633 ^ _82167) ^ [] : [hBOOL(hAPP(hAPP(c_member(_180469), _180471), _180473))], (4635 ^ _82167) ^ [] : [hBOOL(hAPP(hAPP(c_member(_180469), _180471), _180475))]], -(hBOOL(hAPP(hAPP(c_member(_180469), _180471), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_180469, tc_HOL_Obool)), _180473), _180475))))], (4621 ^ _82167) ^ [_180315, _180317, _180319, _180321] : [hBOOL(hAPP(hAPP(c_member(_180315), _180317), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_180315, tc_HOL_Obool)), _180319), _180321))), -(hBOOL(hAPP(hAPP(c_member(_180315), _180317), _180319))), -(hBOOL(hAPP(hAPP(c_member(_180315), _180317), _180321)))], (4639 ^ _82167) ^ [_180654, _180656, _180658, _180660] : [hBOOL(hAPP(hAPP(c_member(_180654), _180656), _180658)), -(hBOOL(hAPP(hAPP(c_member(_180654), _180656), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_180654, tc_HOL_Obool)), _180658), _180660))))], (4645 ^ _82167) ^ [_180785, _180787, _180789, _180791] : [hBOOL(hAPP(hAPP(c_member(_180785), _180787), _180789)), -(hBOOL(hAPP(hAPP(c_member(_180785), _180787), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_180785, tc_HOL_Obool)), _180791), _180789))))], (4651 ^ _82167) ^ [_180916, _180918, _180920, _180922] : [-(c_Relation_ORange(_180916, _180918, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_180916, _180918), tc_HOL_Obool)), _180920), _180922)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_180918, tc_HOL_Obool)), c_Relation_ORange(_180916, _180918, _180920)), c_Relation_ORange(_180916, _180918, _180922)))], (4672 ^ _82167) ^ [_181425, _181427, _181429, _181431] : [4676 ^ _82167 : [(4677 ^ _82167) ^ [] : [-(hBOOL(hAPP(hAPP(c_member(_181425), 4675 ^ [_181425, _181427, _181429, _181431]), _181427)))], (4679 ^ _82167) ^ [] : [hBOOL(hAPP(_181431, 4675 ^ [_181425, _181427, _181429, _181431]))]], 4681 ^ _82167 : [(4682 ^ _82167) ^ [] : [-(hBOOL(hAPP(hAPP(c_member(_181425), 4680 ^ [_181425, _181427, _181429, _181431]), _181429)))], (4684 ^ _82167) ^ [] : [hBOOL(hAPP(_181431, 4680 ^ [_181425, _181427, _181429, _181431]))]], 4685 ^ _82167 : [(4686 ^ _82167) ^ [_181758] : [hBOOL(hAPP(hAPP(c_member(_181425), _181758), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_181425, tc_HOL_Obool)), _181427), _181429))), -(hBOOL(hAPP(_181431, _181758)))]]], (4653 ^ _82167) ^ [_181003, _181005, _181007, _181009] : [4655 ^ _82167 : [(4656 ^ _82167) ^ [] : [-(hBOOL(hAPP(hAPP(c_member(_181003), 4654 ^ [_181003, _181005, _181007, _181009]), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_181003, tc_HOL_Obool)), _181005), _181007))))], (4658 ^ _82167) ^ [] : [hBOOL(hAPP(_181009, 4654 ^ [_181003, _181005, _181007, _181009]))]], 4659 ^ _82167 : [(4660 ^ _82167) ^ [_181223] : [hBOOL(hAPP(hAPP(c_member(_181003), _181223), _181005)), -(hBOOL(hAPP(_181009, _181223)))], (4666 ^ _82167) ^ [_181320] : [hBOOL(hAPP(hAPP(c_member(_181003), _181320), _181007)), -(hBOOL(hAPP(_181009, _181320)))]]], (4692 ^ _82167) ^ [_181910, _181912, _181914, _181916] : [4693 ^ _82167 : [(4694 ^ _82167) ^ [_182020] : [hBOOL(hAPP(hAPP(c_member(_181910), _182020), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_181910, tc_HOL_Obool)), _181912), _181914))), hBOOL(hAPP(_181916, _182020))]], 4702 ^ _82167 : [(4703 ^ _82167) ^ [] : [-(hBOOL(hAPP(hAPP(c_member(_181910), 4701 ^ [_181910, _181912, _181914, _181916]), _181912)))], (4705 ^ _82167) ^ [] : [-(hBOOL(hAPP(_181916, 4701 ^ [_181910, _181912, _181914, _181916])))]], 4707 ^ _82167 : [(4708 ^ _82167) ^ [] : [-(hBOOL(hAPP(hAPP(c_member(_181910), 4706 ^ [_181910, _181912, _181914, _181916]), _181914)))], (4710 ^ _82167) ^ [] : [-(hBOOL(hAPP(_181916, 4706 ^ [_181910, _181912, _181914, _181916])))]]], (4712 ^ _82167) ^ [_182309, _182311, _182313, _182315] : [4726 ^ _82167 : [(4727 ^ _82167) ^ [] : [-(hBOOL(hAPP(hAPP(c_member(_182309), 4725 ^ [_182309, _182311, _182313, _182315]), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_182309, tc_HOL_Obool)), _182311), _182313))))], (4729 ^ _82167) ^ [] : [-(hBOOL(hAPP(_182315, 4725 ^ [_182309, _182311, _182313, _182315])))]], 4713 ^ _82167 : [(4714 ^ _82167) ^ [_182422] : [hBOOL(hAPP(hAPP(c_member(_182309), _182422), _182311)), hBOOL(hAPP(_182315, _182422))], (4720 ^ _82167) ^ [_182518] : [hBOOL(hAPP(hAPP(c_member(_182309), _182518), _182313)), hBOOL(hAPP(_182315, _182518))]]], (4731 ^ _82167) ^ [_182712, _182714, _182716, _182718] : [-(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_182712, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_182712, tc_HOL_Obool)), _182714), _182716)), _182718) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_182712, tc_HOL_Obool)), _182714), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_182712, tc_HOL_Obool)), _182716), _182718)))], (4733 ^ _82167) ^ [_182785, _182787, _182789, _182791] : [-(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_182785, tc_HOL_Obool)), _182787), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_182785, tc_HOL_Obool)), _182789), _182791)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_182785, tc_HOL_Obool)), _182789), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_182785, tc_HOL_Obool)), _182787), _182791)))], (4735 ^ _82167) ^ [_182858, _182860, _182862] : [-(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_182858, tc_HOL_Obool)), _182860), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_182858, tc_HOL_Obool)), _182860), _182862)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_182858, tc_HOL_Obool)), _182860), _182862))], (4737 ^ _82167) ^ [_182918, _182920, _182922] : [-(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_182918, tc_HOL_Obool)), _182920), _182922) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_182918, tc_HOL_Obool)), _182922), _182920))], (4739 ^ _82167) ^ [_182967, _182969] : [-(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_182967, tc_HOL_Obool)), _182969), _182969) = _182969)], (4741 ^ _82167) ^ [_183003, _183005, _183007, _183009] : [hBOOL(hAPP(_183003, _183005)), -(hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_183007, tc_HOL_Obool)), _183009), _183003), _183005)))], (4747 ^ _82167) ^ [_183114, _183116, _183118, _183120] : [hBOOL(hAPP(_183114, _183116)), -(hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_183118, tc_HOL_Obool)), _183114), _183120), _183116)))], (4753 ^ _82167) ^ [_183225, _183227, _183229, _183231, _183233] : [class_Lattices_Olattice(_183225), -(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_183227, _183225)), _183229), _183231), _183233) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_183225), hAPP(_183229, _183233)), hAPP(_183231, _183233)))], (4759 ^ _82167) ^ [_183362, _183364, _183366, _183368, _183370] : [class_Lattices_Olattice(_183362), -(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_183364, _183362)), _183366), _183368), _183370) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_183362), hAPP(_183366, _183370)), hAPP(_183368, _183370)))], (4765 ^ _82167) ^ [_183499, _183501, _183503, _183505] : [class_Lattices_Osemilattice__sup(_183499), -(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_183499), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_183499), _183501), _183503)), _183505) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_183499), _183501), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_183499), _183503), _183505)))], (4771 ^ _82167) ^ [_183642, _183644, _183646, _183648] : [class_Lattices_Olattice(_183642), -(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_183642), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_183642), _183644), _183646)), _183648) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_183642), _183644), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_183642), _183646), _183648)))], (4777 ^ _82167) ^ [_183785, _183787, _183789, _183791] : [class_Lattices_Osemilattice__sup(_183785), -(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_183785), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_183785), _183787), _183789)), _183791) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_183785), _183787), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_183785), _183789), _183791)))], (4783 ^ _82167) ^ [_183928, _183930, _183932, _183934] : [class_Lattices_Osemilattice__sup(_183928), -(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_183928), _183930), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_183928), _183932), _183934)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_183928), _183932), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_183928), _183930), _183934)))], (4789 ^ _82167) ^ [_184071, _184073, _184075, _184077] : [class_Lattices_Olattice(_184071), -(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_184071), _184073), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_184071), _184075), _184077)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_184071), _184075), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_184071), _184073), _184077)))], (4795 ^ _82167) ^ [_184214, _184216, _184218, _184220] : [class_Lattices_Osemilattice__sup(_184214), -(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_184214), _184216), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_184214), _184218), _184220)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_184214), _184218), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_184214), _184216), _184220)))], (4801 ^ _82167) ^ [_184357, _184359, _184361] : [class_Lattices_Osemilattice__sup(_184357), -(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_184357), _184359), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_184357), _184359), _184361)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_184357), _184359), _184361))], (4807 ^ _82167) ^ [_184482, _184484, _184486] : [class_Lattices_Olattice(_184482), -(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_184482), _184484), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_184482), _184484), _184486)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_184482), _184484), _184486))], (4813 ^ _82167) ^ [_184607, _184609, _184611] : [class_Lattices_Osemilattice__sup(_184607), -(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_184607), _184609), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_184607), _184609), _184611)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_184607), _184609), _184611))], (4819 ^ _82167) ^ [_184732, _184734, _184736] : [class_Lattices_Osemilattice__sup(_184732), -(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_184732), _184734), _184736) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_184732), _184736), _184734))], (4825 ^ _82167) ^ [_184841, _184843, _184845] : [class_Lattices_Olattice(_184841), -(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_184841), _184843), _184845) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_184841), _184845), _184843))], (4831 ^ _82167) ^ [_184950, _184952, _184954] : [class_Lattices_Osemilattice__sup(_184950), -(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_184950), _184952), _184954) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_184950), _184954), _184952))], (4837 ^ _82167) ^ [_185059, _185061] : [class_Lattices_Osemilattice__sup(_185059), -(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_185059), _185061), _185061) = _185061)], (4843 ^ _82167) ^ [_185150, _185152] : [class_Lattices_Osemilattice__sup(_185150), -(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_185150), _185152), _185152) = _185152)], (4849 ^ _82167) ^ [_185241, _185243, _185245] : [-(c_Relation_OField(_185241, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_185241, _185241), tc_HOL_Obool)), _185243), _185245)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_185241, tc_HOL_Obool)), c_Relation_OField(_185241, _185243)), c_Relation_OField(_185241, _185245)))], (4851 ^ _82167) ^ [_185302, _185304, _185306, _185308] : [-(c_Relation_ODomain(_185302, _185304, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_185302, _185304), tc_HOL_Obool)), _185306), _185308)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_185302, tc_HOL_Obool)), c_Relation_ODomain(_185302, _185304, _185306)), c_Relation_ODomain(_185302, _185304, _185308)))], (4853 ^ _82167) ^ [_185368, _185370, _185372] : [class_Lattices_Olattice(_185368), -(c_Orderings_Oord__class_Oless__eq(_185368, _185370, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_185368), _185370), _185372)))], (4859 ^ _82167) ^ [_185463, _185465, _185467] : [class_Lattices_Osemilattice__sup(_185463), -(c_Orderings_Oord__class_Oless__eq(_185463, _185465, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_185463), _185465), _185467)))], (4865 ^ _82167) ^ [_185558, _185560, _185562] : [class_Lattices_Olattice(_185558), -(c_Orderings_Oord__class_Oless__eq(_185558, _185560, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_185558), _185562), _185560)))], (4871 ^ _82167) ^ [_185653, _185655, _185657] : [class_Lattices_Osemilattice__sup(_185653), -(c_Orderings_Oord__class_Oless__eq(_185653, _185655, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_185653), _185657), _185655)))], (4877 ^ _82167) ^ [_185748, _185750, _185752] : [class_Lattices_Osemilattice__sup(_185748), 4880 ^ _82167 : [(4881 ^ _82167) ^ [] : [c_Orderings_Oord__class_Oless__eq(_185748, _185750, _185752), -(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_185748), _185750), _185752) = _185752)], (4887 ^ _82167) ^ [] : [hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_185748), _185750), _185752) = _185752, -(c_Orderings_Oord__class_Oless__eq(_185748, _185750, _185752))]]], (4893 ^ _82167) ^ [_185986, _185988, _185990, _185992] : [class_Lattices_Osemilattice__sup(_185986), 4896 ^ _82167 : [(4897 ^ _82167) ^ [] : [c_Orderings_Oord__class_Oless__eq(_185986, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_185986), _185988), _185990), _185992), 4900 ^ _82167 : [(4901 ^ _82167) ^ [] : [-(c_Orderings_Oord__class_Oless__eq(_185986, _185988, _185992))], (4903 ^ _82167) ^ [] : [-(c_Orderings_Oord__class_Oless__eq(_185986, _185990, _185992))]]], (4905 ^ _82167) ^ [] : [-(c_Orderings_Oord__class_Oless__eq(_185986, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_185986), _185988), _185990), _185992)), c_Orderings_Oord__class_Oless__eq(_185986, _185988, _185992), c_Orderings_Oord__class_Oless__eq(_185986, _185990, _185992)]]], (4915 ^ _82167) ^ [_186312, _186314, _186316, _186318] : [class_Lattices_Osemilattice__sup(_186312), c_Orderings_Oord__class_Oless__eq(_186312, _186314, _186316), -(c_Orderings_Oord__class_Oless__eq(_186312, _186314, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_186312), _186316), _186318)))], (4925 ^ _82167) ^ [_186467, _186469, _186471, _186473] : [class_Lattices_Osemilattice__sup(_186467), c_Orderings_Oord__class_Oless__eq(_186467, _186469, _186471), -(c_Orderings_Oord__class_Oless__eq(_186467, _186469, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_186467), _186473), _186471)))], (4935 ^ _82167) ^ [_186622, _186624, _186626] : [class_Lattices_Osemilattice__sup(_186622), c_Orderings_Oord__class_Oless__eq(_186622, _186624, _186626), -(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_186622), _186624), _186626) = _186626)], (4945 ^ _82167) ^ [_186771, _186773, _186775] : [class_Lattices_Osemilattice__sup(_186771), c_Orderings_Oord__class_Oless__eq(_186771, _186773, _186775), -(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_186771), _186775), _186773) = _186775)], (4955 ^ _82167) ^ [_186920, _186922, _186924, _186926] : [class_Lattices_Osemilattice__sup(_186920), c_Orderings_Oord__class_Oless__eq(_186920, _186922, _186924), c_Orderings_Oord__class_Oless__eq(_186920, _186926, _186924), -(c_Orderings_Oord__class_Oless__eq(_186920, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_186920), _186922), _186926), _186924))], (4969 ^ _82167) ^ [_187133, _187135, _187137, _187139] : [class_Lattices_Osemilattice__sup(_187133), c_Orderings_Oord__class_Oless__eq(_187133, _187135, _187137), c_Orderings_Oord__class_Oless__eq(_187133, _187139, _187137), -(c_Orderings_Oord__class_Oless__eq(_187133, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_187133), _187135), _187139), _187137))], (4983 ^ _82167) ^ [_187346, _187348, _187350, _187352, _187354] : [class_Lattices_Osemilattice__sup(_187346), c_Orderings_Oord__class_Oless__eq(_187346, _187348, _187350), c_Orderings_Oord__class_Oless__eq(_187346, _187352, _187354), -(c_Orderings_Oord__class_Oless__eq(_187346, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_187346), _187348), _187352), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_187346), _187350), _187354)))], (4997 ^ _82167) ^ [_187581, _187583, _187585, _187587] : [class_Lattices_Osemilattice__sup(_187581), c_Orderings_Oord__class_Oless__eq(_187581, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_187581), _187583), _187585), _187587), 5004 ^ _82167 : [(5005 ^ _82167) ^ [] : [-(c_Orderings_Oord__class_Oless__eq(_187581, _187583, _187587))], (5007 ^ _82167) ^ [] : [-(c_Orderings_Oord__class_Oless__eq(_187581, _187585, _187587))]]], (5009 ^ _82167) ^ [_187768, _187770, _187772] : [-(c_Orderings_Oord__class_Oless__eq(tc_fun(_187768, tc_HOL_Obool), _187770, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_187768, tc_HOL_Obool)), _187770), _187772)))], (5011 ^ _82167) ^ [_187810, _187812, _187814] : [-(c_Orderings_Oord__class_Oless__eq(tc_fun(_187810, tc_HOL_Obool), _187812, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_187810, tc_HOL_Obool)), _187814), _187812)))], (5013 ^ _82167) ^ [_187870, _187872, _187874] : [c_Orderings_Oord__class_Oless__eq(tc_fun(_187870, tc_HOL_Obool), _187872, _187874), -(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_187870, tc_HOL_Obool)), _187872), _187874) = _187874)], (5019 ^ _82167) ^ [_187975, _187977, _187979] : [hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_187975, tc_HOL_Obool)), _187977), _187979) = _187979, -(c_Orderings_Oord__class_Oless__eq(tc_fun(_187975, tc_HOL_Obool), _187977, _187979))], (5025 ^ _82167) ^ [_188086, _188088, _188090] : [c_Orderings_Oord__class_Oless__eq(tc_fun(_188086, tc_HOL_Obool), _188088, _188090), -(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_188086, tc_HOL_Obool)), _188088), _188090) = _188090)], (5031 ^ _82167) ^ [_188195, _188197, _188199] : [c_Orderings_Oord__class_Oless__eq(tc_fun(_188195, tc_HOL_Obool), _188197, _188199), -(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_188195, tc_HOL_Obool)), _188199), _188197) = _188199)], (5037 ^ _82167) ^ [_188304, _188306, _188308, _188310] : [c_Orderings_Oord__class_Oless__eq(tc_fun(_188304, tc_HOL_Obool), _188306, _188308), c_Orderings_Oord__class_Oless__eq(tc_fun(_188304, tc_HOL_Obool), _188310, _188308), -(c_Orderings_Oord__class_Oless__eq(tc_fun(_188304, tc_HOL_Obool), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_188304, tc_HOL_Obool)), _188306), _188310), _188308))], (5047 ^ _82167) ^ [_188487, _188489, _188491, _188493, _188495] : [c_Orderings_Oord__class_Oless__eq(tc_fun(_188487, tc_HOL_Obool), _188489, _188491), c_Orderings_Oord__class_Oless__eq(tc_fun(_188487, tc_HOL_Obool), _188493, _188495), -(c_Orderings_Oord__class_Oless__eq(tc_fun(_188487, tc_HOL_Obool), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_188487, tc_HOL_Obool)), _188489), _188493), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_188487, tc_HOL_Obool)), _188491), _188495)))], (5057 ^ _82167) ^ [_188696, _188698, _188700, _188702] : [class_Lattices_Olattice(_188696), -(c_Orderings_Oord__class_Oless__eq(_188696, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_188696), _188698), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_188696), _188700), _188702)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_188696), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_188696), _188698), _188700)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_188696), _188698), _188702))))], (5063 ^ _82167) ^ [_188857, _188859, _188861, _188863] : [class_Lattices_Olattice(_188857), -(c_Orderings_Oord__class_Oless__eq(_188857, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_188857), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_188857), _188859), _188861)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_188857), _188859), _188863)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_188857), _188859), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_188857), _188861), _188863))))], (5069 ^ _82167) ^ [_189018, _189020, _189022, _189024] : [-(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_189018, tc_HOL_Obool)), c_Set_Oinsert(_189018, _189020, _189022)), _189024) = c_Set_Oinsert(_189018, _189020, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_189018, tc_HOL_Obool)), _189022), _189024)))], (5071 ^ _82167) ^ [_189077, _189079, _189081, _189083] : [-(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_189077, tc_HOL_Obool)), _189079), c_Set_Oinsert(_189077, _189081, _189083)) = c_Set_Oinsert(_189077, _189081, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_189077, tc_HOL_Obool)), _189079), _189083)))], (5073 ^ _82167) ^ [_189157, _189159, _189161, _189163] : [hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_189157, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_189157, tc_HOL_Obool)), _189159), _189161)), _189163) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_189157, tc_HOL_Obool)), _189159), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_189157, tc_HOL_Obool)), _189161), _189163)), -(c_Orderings_Oord__class_Oless__eq(tc_fun(_189157, tc_HOL_Obool), _189163, _189159))], (5079 ^ _82167) ^ [_189330, _189332, _189334, _189336] : [c_Orderings_Oord__class_Oless__eq(tc_fun(_189330, tc_HOL_Obool), _189336, _189332), -(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_189330, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_189330, tc_HOL_Obool)), _189332), _189334)), _189336) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_189330, tc_HOL_Obool)), _189332), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_189330, tc_HOL_Obool)), _189334), _189336)))], (5085 ^ _82167) ^ [_189509, _189511, _189513, _189515] : [5086 ^ _82167 : [(5087 ^ _82167) ^ [] : [hBOOL(hAPP(hAPP(c_member(tc_prod(_189509, _189509)), _189511), c_Transitive__Closure_Ortrancl(_189509, _189513)))], (5089 ^ _82167) ^ [] : [hBOOL(hAPP(hAPP(c_member(tc_prod(_189509, _189509)), _189511), c_Transitive__Closure_Ortrancl(_189509, _189515)))]], -(hBOOL(hAPP(hAPP(c_member(tc_prod(_189509, _189509)), _189511), c_Transitive__Closure_Ortrancl(_189509, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_189509, _189509), tc_HOL_Obool)), _189513), _189515)))))], (5093 ^ _82167) ^ [_189734, _189736, _189738] : [-(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_189734, _189734), tc_HOL_Obool), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_189734, _189734), tc_HOL_Obool)), c_Transitive__Closure_Ortrancl(_189734, _189736)), c_Transitive__Closure_Ortrancl(_189734, _189738)), c_Transitive__Closure_Ortrancl(_189734, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_189734, _189734), tc_HOL_Obool)), _189736), _189738))))], (5095 ^ _82167) ^ [_189805, _189807, _189809] : [c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_189805, _189805), tc_HOL_Obool), _189807, _189809), -(c_Orderings_Oord__class_Oless__eq(tc_fun(_189805, tc_HOL_Obool), c_Relation_OField(_189805, _189807), c_Relation_OField(_189805, _189809)))], (5101 ^ _82167) ^ [_189918, _189920, _189922, _189924] : [-(c_Relation_OField(_189918, c_Set_Oinsert(tc_prod(_189918, _189918), hAPP(hAPP(c_Product__Type_OPair(_189918, _189918), _189920), _189922), _189924)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_189918, tc_HOL_Obool)), c_Set_Oinsert(_189918, _189920, c_Set_Oinsert(_189918, _189922, c_Orderings_Obot__class_Obot(tc_fun(_189918, tc_HOL_Obool))))), c_Relation_OField(_189918, _189924)))], (5103 ^ _82167) ^ [_189993, _189995, _189997, _189999, _190001] : [hBOOL(hAPP(hAPP(c_member(tc_prod(_189993, _189993)), hAPP(hAPP(c_Product__Type_OPair(_189993, _189993), _189995), _189997)), c_Transitive__Closure_Ortrancl(_189993, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_189993, _189993), tc_HOL_Obool)), _189999), _190001)))), 5109 ^ _82167 : [(5110 ^ _82167) ^ [] : [-(hBOOL(hAPP(hAPP(c_member(tc_prod(_189993, _189993)), hAPP(hAPP(c_Product__Type_OPair(_189993, _189993), _189995), 5108 ^ [_189993, _189995, _189997, _189999, _190001])), c_Transitive__Closure_Ortrancl(_189993, _189999))))], (5113 ^ _82167) ^ [] : [-(hBOOL(hAPP(hAPP(c_member(tc_prod(_189993, _189993)), hAPP(hAPP(c_Product__Type_OPair(_189993, _189993), 5108 ^ [_189993, _189995, _189997, _189999, _190001]), 5111 ^ [_189993, _189995, _189997, _189999, _190001])), _190001)))], (5115 ^ _82167) ^ [] : [5108 ^ [_189993, _189995, _189997, _189999, _190001] = 5111 ^ [_189993, _189995, _189997, _189999, _190001]]], -(hBOOL(hAPP(hAPP(c_member(tc_prod(_189993, _189993)), hAPP(hAPP(c_Product__Type_OPair(_189993, _189993), _189995), _189997)), c_Transitive__Closure_Ortrancl(_189993, _189999))))], (5119 ^ _82167) ^ [_190552, _190554, _190556, _190558, _190560] : [hBOOL(hAPP(hAPP(c_member(tc_prod(_190552, _190552)), hAPP(hAPP(c_Product__Type_OPair(_190552, _190552), _190554), _190556)), c_Transitive__Closure_Ortrancl(_190552, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_190552, _190552), tc_HOL_Obool)), _190558), _190560)))), 5125 ^ _82167 : [(5126 ^ _82167) ^ [] : [-(hBOOL(hAPP(hAPP(c_member(tc_prod(_190552, _190552)), hAPP(hAPP(c_Product__Type_OPair(_190552, _190552), 5124 ^ [_190552, _190554, _190556, _190558, _190560]), _190556)), c_Transitive__Closure_Ortrancl(_190552, _190558))))], (5129 ^ _82167) ^ [] : [-(hBOOL(hAPP(hAPP(c_member(tc_prod(_190552, _190552)), hAPP(hAPP(c_Product__Type_OPair(_190552, _190552), 5127 ^ [_190552, _190554, _190556, _190558, _190560]), 5124 ^ [_190552, _190554, _190556, _190558, _190560])), _190560)))], (5131 ^ _82167) ^ [] : [5127 ^ [_190552, _190554, _190556, _190558, _190560] = 5124 ^ [_190552, _190554, _190556, _190558, _190560]]], -(hBOOL(hAPP(hAPP(c_member(tc_prod(_190552, _190552)), hAPP(hAPP(c_Product__Type_OPair(_190552, _190552), _190554), _190556)), c_Transitive__Closure_Ortrancl(_190552, _190558))))], (5135 ^ _82167) ^ [_191123, _191125] : [hBOOL(hAPP(hAPP(c_member(_191123), _191125), c_Orderings_Obot__class_Obot(tc_fun(_191123, tc_HOL_Obool))))], (5137 ^ _82167) ^ [_191160, _191162] : [-(c_Orderings_Oord__class_Oless__eq(tc_fun(_191160, tc_HOL_Obool), c_Orderings_Obot__class_Obot(tc_fun(_191160, tc_HOL_Obool)), _191162))], (5139 ^ _82167) ^ [_191212, _191214, _191216] : [hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_191212, tc_HOL_Obool)), _191214), _191216) = c_Orderings_Obot__class_Obot(tc_fun(_191212, tc_HOL_Obool)), 5142 ^ _82167 : [(5143 ^ _82167) ^ [] : [-(_191214 = c_Orderings_Obot__class_Obot(tc_fun(_191212, tc_HOL_Obool)))], (5145 ^ _82167) ^ [] : [-(_191216 = c_Orderings_Obot__class_Obot(tc_fun(_191212, tc_HOL_Obool)))]]], (5147 ^ _82167) ^ [_191365, _191367, _191369] : [-(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_191365, tc_HOL_Obool)), _191367), _191369) = c_Orderings_Obot__class_Obot(tc_fun(_191365, tc_HOL_Obool))), _191367 = c_Orderings_Obot__class_Obot(tc_fun(_191365, tc_HOL_Obool)), _191369 = c_Orderings_Obot__class_Obot(tc_fun(_191365, tc_HOL_Obool))], (5157 ^ _82167) ^ [_191552, _191554] : [-(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_191552, tc_HOL_Obool)), _191554), c_Orderings_Obot__class_Obot(tc_fun(_191552, tc_HOL_Obool))) = _191554)], (5159 ^ _82167) ^ [_191593, _191595] : [-(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_191593, tc_HOL_Obool)), c_Orderings_Obot__class_Obot(tc_fun(_191593, tc_HOL_Obool))), _191595) = _191595)], (5161 ^ _82167) ^ [_191634, _191636, _191638] : [class_Lattices_Obounded__lattice__bot(_191634), 5164 ^ _82167 : [(5165 ^ _82167) ^ [] : [hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_191634), _191636), _191638) = c_Orderings_Obot__class_Obot(_191634), 5168 ^ _82167 : [(5169 ^ _82167) ^ [] : [-(_191636 = c_Orderings_Obot__class_Obot(_191634))], (5171 ^ _82167) ^ [] : [-(_191638 = c_Orderings_Obot__class_Obot(_191634))]]], (5173 ^ _82167) ^ [] : [-(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_191634), _191636), _191638) = c_Orderings_Obot__class_Obot(_191634)), _191636 = c_Orderings_Obot__class_Obot(_191634), _191638 = c_Orderings_Obot__class_Obot(_191634)]]], (5183 ^ _82167) ^ [_191961, _191963] : [class_Lattices_Obounded__lattice__bot(_191961), -(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_191961), _191963), c_Orderings_Obot__class_Obot(_191961)) = _191963)], (5189 ^ _82167) ^ [_192056, _192058] : [class_Lattices_Obounded__lattice__bot(_192056), -(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_192056), c_Orderings_Obot__class_Obot(_192056)), _192058) = _192058)], (5195 ^ _82167) ^ [_192151] : [-(c_Relation_OField(_192151, c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_192151, _192151), tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(_192151, tc_HOL_Obool)))], (5197 ^ _82167) ^ [_192190, _192192] : [-(c_Transitive__Closure_Ortranclp(_192190, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_192190, tc_fun(_192190, tc_HOL_Obool))), _192192), c_fequal)) = c_Transitive__Closure_Ortranclp(_192190, _192192))], (5199 ^ _82167) ^ [_192235, _192237, _192239] : [-(c_Transitive__Closure_Ortranclp(_192235, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_192235, tc_fun(_192235, tc_HOL_Obool))), c_Transitive__Closure_Ortranclp(_192235, _192237)), c_Transitive__Closure_Ortranclp(_192235, _192239))) = c_Transitive__Closure_Ortranclp(_192235, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_192235, tc_fun(_192235, tc_HOL_Obool))), _192237), _192239)))], (5201 ^ _82167) ^ [_192317, _192319, _192321] : [c_Orderings_Obot__class_Obot(tc_fun(_192317, tc_HOL_Obool)) = c_Set_Oinsert(_192317, _192319, _192321)], (5203 ^ _82167) ^ [_192368, _192370, _192372] : [c_Set_Oinsert(_192368, _192370, _192372) = c_Orderings_Obot__class_Obot(tc_fun(_192368, tc_HOL_Obool))], (5205 ^ _82167) ^ [_192428, _192430, _192432, _192434, _192436] : [c_Set_Oinsert(_192428, _192430, c_Set_Oinsert(_192428, _192432, c_Orderings_Obot__class_Obot(tc_fun(_192428, tc_HOL_Obool)))) = c_Set_Oinsert(_192428, _192434, c_Set_Oinsert(_192428, _192436, c_Orderings_Obot__class_Obot(tc_fun(_192428, tc_HOL_Obool)))), 5210 ^ _82167 : [(5211 ^ _82167) ^ [] : [-(_192430 = _192434)], (5213 ^ _82167) ^ [] : [-(_192432 = _192436)]], 5214 ^ _82167 : [(5215 ^ _82167) ^ [] : [-(_192430 = _192436)], (5217 ^ _82167) ^ [] : [-(_192432 = _192434)]]], (5219 ^ _82167) ^ [_192658, _192660, _192662, _192664, _192666] : [-(c_Set_Oinsert(_192658, _192660, c_Set_Oinsert(_192658, _192662, c_Orderings_Obot__class_Obot(tc_fun(_192658, tc_HOL_Obool)))) = c_Set_Oinsert(_192658, _192664, c_Set_Oinsert(_192658, _192666, c_Orderings_Obot__class_Obot(tc_fun(_192658, tc_HOL_Obool))))), 5220 ^ _82167 : [(5221 ^ _82167) ^ [] : [_192660 = _192664, _192662 = _192666], (5227 ^ _82167) ^ [] : [_192660 = _192666, _192662 = _192664]]], (5235 ^ _82167) ^ [_192942, _192944, _192946] : [c_Set_Oinsert(_192942, _192944, c_Orderings_Obot__class_Obot(tc_fun(_192942, tc_HOL_Obool))) = c_Set_Oinsert(_192942, _192946, c_Orderings_Obot__class_Obot(tc_fun(_192942, tc_HOL_Obool))), -(_192944 = _192946)], (5241 ^ _82167) ^ [_193149, _193151] : [-(c_FuncSet_Oextensional(_193149, _193151, c_Orderings_Obot__class_Obot(tc_fun(_193149, tc_HOL_Obool))) = c_Set_Oinsert(tc_fun(_193149, _193151), c_COMBK(_193151, _193149, c_HOL_Oundefined(_193151)), c_Orderings_Obot__class_Obot(tc_fun(tc_fun(_193149, _193151), tc_HOL_Obool))))], (5243 ^ _82167) ^ [_193287, _193289, _193291] : [-(c_FuncSet_Oextensional__funcset(_193287, _193289, c_Orderings_Obot__class_Obot(tc_fun(_193287, tc_HOL_Obool)), _193291) = c_Set_Oinsert(tc_fun(_193287, _193289), c_COMBK(_193289, _193287, c_HOL_Oundefined(_193289)), c_Orderings_Obot__class_Obot(tc_fun(tc_fun(_193287, _193289), tc_HOL_Obool))))], (5245 ^ _82167) ^ [_193443, _193445, _193447] : [_193443 = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_193445, _193445), tc_HOL_Obool)), -(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_193445, _193445), tc_HOL_Obool), _193443, _193447))], (5251 ^ _82167) ^ [_193718, _193720] : [c_Orderings_Oord__class_Oless__eq(tc_fun(_193718, tc_HOL_Obool), _193720, c_Orderings_Obot__class_Obot(tc_fun(_193718, tc_HOL_Obool))), -(_193720 = c_Orderings_Obot__class_Obot(tc_fun(_193718, tc_HOL_Obool)))], (5257 ^ _82167) ^ [_193908, _193910] : [_193910 = c_Orderings_Obot__class_Obot(tc_fun(_193908, tc_HOL_Obool)), -(c_Orderings_Oord__class_Oless__eq(tc_fun(_193908, tc_HOL_Obool), _193910, c_Orderings_Obot__class_Obot(tc_fun(_193908, tc_HOL_Obool))))], (5263 ^ _82167) ^ [_194133, _194135] : [-(c_Relation_Ototal__on(_194133, c_Orderings_Obot__class_Obot(tc_fun(_194133, tc_HOL_Obool)), _194135))], (5265 ^ _82167) ^ [_194248, _194250] : [class_Orderings_Obot(_194248), -(c_Orderings_Oord__class_Oless__eq(_194248, c_Orderings_Obot__class_Obot(_194248), _194250))], (5271 ^ _82167) ^ [_194462, _194464] : [class_Lattices_Obounded__lattice__bot(_194462), -(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_194462), c_Orderings_Obot__class_Obot(_194462)), _194464) = c_Orderings_Obot__class_Obot(_194462))], (5277 ^ _82167) ^ [_194694, _194696] : [class_Lattices_Obounded__lattice__bot(_194694), -(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_194694), _194696), c_Orderings_Obot__class_Obot(_194694)) = c_Orderings_Obot__class_Obot(_194694))], (5283 ^ _82167) ^ [_194969, _194971, _194973] : [c_Relation_ODomain(_194969, _194971, _194973) = c_Orderings_Obot__class_Obot(tc_fun(_194969, tc_HOL_Obool)), -(_194973 = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_194969, _194971), tc_HOL_Obool)))], (5289 ^ _82167) ^ [_195171, _195173, _195175] : [_195175 = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_195171, _195173), tc_HOL_Obool)), -(c_Relation_ODomain(_195171, _195173, _195175) = c_Orderings_Obot__class_Obot(tc_fun(_195171, tc_HOL_Obool)))], (5295 ^ _82167) ^ [_195408, _195410] : [-(c_Relation_ODomain(_195408, _195410, c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_195408, _195410), tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(_195408, tc_HOL_Obool)))], (5297 ^ _82167) ^ [_195591, _195593, _195595, _195597] : [c_FuncSet_OPi(_195591, _195593, _195595, _195597) = c_Orderings_Obot__class_Obot(tc_fun(tc_fun(_195591, _195593), tc_HOL_Obool)), 5301 ^ _82167 : [(5302 ^ _82167) ^ [] : [-(hBOOL(hAPP(hAPP(c_member(_195591), 5300 ^ [_195591, _195593, _195595, _195597]), _195595)))], (5304 ^ _82167) ^ [] : [-(hAPP(_195597, 5300 ^ [_195591, _195593, _195595, _195597]) = c_Orderings_Obot__class_Obot(tc_fun(_195593, tc_HOL_Obool)))]]], (5306 ^ _82167) ^ [_196001, _196003, _196005, _196007] : [-(c_FuncSet_OPi(_196001, _196003, _196005, _196007) = c_Orderings_Obot__class_Obot(tc_fun(tc_fun(_196001, _196003), tc_HOL_Obool))), 5307 ^ _82167 : [(5308 ^ _82167) ^ [_196125] : [hBOOL(hAPP(hAPP(c_member(_196001), _196125), _196005)), hAPP(_196007, _196125) = c_Orderings_Obot__class_Obot(tc_fun(_196003, tc_HOL_Obool))]]], (5316 ^ _82167) ^ [_196474, _196476, _196478] : [-(_196474 = c_Orderings_Obot__class_Obot(tc_fun(_196476, tc_HOL_Obool))), -(c_FuncSet_Oextensional__funcset(_196476, _196478, _196474, c_Orderings_Obot__class_Obot(tc_fun(_196478, tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(tc_fun(_196476, _196478), tc_HOL_Obool)))], (5322 ^ _82167) ^ [_196782, _196784, _196786] : [c_Relation_ORange(_196782, _196784, _196786) = c_Orderings_Obot__class_Obot(tc_fun(_196784, tc_HOL_Obool)), -(_196786 = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_196782, _196784), tc_HOL_Obool)))], (5328 ^ _82167) ^ [_196984, _196986, _196988] : [_196988 = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_196984, _196986), tc_HOL_Obool)), -(c_Relation_ORange(_196984, _196986, _196988) = c_Orderings_Obot__class_Obot(tc_fun(_196986, tc_HOL_Obool)))], (5334 ^ _82167) ^ [_197221, _197223] : [-(c_Relation_ORange(_197221, _197223, c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_197221, _197223), tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(_197223, tc_HOL_Obool)))], (5336 ^ _82167) ^ [_197318] : [-(c_Relation_OId__on(_197318, c_Orderings_Obot__class_Obot(tc_fun(_197318, tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_197318, _197318), tc_HOL_Obool)))], (5338 ^ _82167) ^ [_197412] : [-(c_Relation_Orefl__on(_197412, c_Orderings_Obot__class_Obot(tc_fun(_197412, tc_HOL_Obool)), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_197412, _197412), tc_HOL_Obool))))], (5340 ^ _82167) ^ [_197562, _197564] : [hBOOL(hAPP(c_Orderings_Obot__class_Obot(tc_fun(_197562, tc_HOL_Obool)), _197564)), -(hBOOL(hAPP(hAPP(c_member(_197562), _197564), c_Orderings_Obot__class_Obot(tc_fun(_197562, tc_HOL_Obool)))))], (5346 ^ _82167) ^ [_197762, _197764] : [hBOOL(hAPP(hAPP(c_member(_197762), _197764), c_Orderings_Obot__class_Obot(tc_fun(_197762, tc_HOL_Obool)))), -(hBOOL(hAPP(c_Orderings_Obot__class_Obot(tc_fun(_197762, tc_HOL_Obool)), _197764)))], (5352 ^ _82167) ^ [_197983] : [-(c_Transitive__Closure_Otrancl(_197983, c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_197983, _197983), tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_197983, _197983), tc_HOL_Obool)))], (5368 ^ _82167) ^ [_198739, _198741, _198743] : [5370 ^ _82167 : [(5371 ^ _82167) ^ [] : [-(hBOOL(hAPP(hAPP(c_member(_198739), 5369 ^ [_198739, _198741, _198743]), _198741)))], (5374 ^ _82167) ^ [] : [-(hBOOL(hAPP(hAPP(c_member(_198739), 5372 ^ [_198739, _198741, _198743]), _198743)))], (5376 ^ _82167) ^ [] : [-(5369 ^ [_198739, _198741, _198743] = 5372 ^ [_198739, _198741, _198743])]], -(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_198739, tc_HOL_Obool)), _198741), _198743) = c_Orderings_Obot__class_Obot(tc_fun(_198739, tc_HOL_Obool)))], (5354 ^ _82167) ^ [_198152, _198154, _198156] : [hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_198152, tc_HOL_Obool)), _198154), _198156) = c_Orderings_Obot__class_Obot(tc_fun(_198152, tc_HOL_Obool)), 5357 ^ _82167 : [(5358 ^ _82167) ^ [_198352] : [hBOOL(hAPP(hAPP(c_member(_198152), _198352), _198154)), 5361 ^ _82167 : [(5362 ^ _82167) ^ [_198526] : [hBOOL(hAPP(hAPP(c_member(_198152), _198526), _198156)), _198352 = _198526]]]]], (5380 ^ _82167) ^ [_199359, _199361] : [-(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_199359, tc_HOL_Obool)), _199361), c_Orderings_Obot__class_Obot(tc_fun(_199359, tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(_199359, tc_HOL_Obool)))], (5382 ^ _82167) ^ [_199474, _199476] : [-(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_199474, tc_HOL_Obool)), c_Orderings_Obot__class_Obot(tc_fun(_199474, tc_HOL_Obool))), _199476) = c_Orderings_Obot__class_Obot(tc_fun(_199474, tc_HOL_Obool)))], (5384 ^ _82167) ^ [_199618, _199620, _199622] : [_199618 = c_Orderings_Obot__class_Obot(tc_fun(_199620, tc_HOL_Obool)), hBOOL(hAPP(hAPP(c_member(_199620), _199622), _199618))], (5390 ^ _82167) ^ [_199843, _199845] : [hBOOL(hAPP(hAPP(c_member(_199843), _199845), c_Orderings_Obot__class_Obot(tc_fun(_199843, tc_HOL_Obool))))], (5392 ^ _82167) ^ [_199993, _199995] : [5393 ^ _82167 : [(5394 ^ _82167) ^ [_200077] : [hBOOL(hAPP(hAPP(c_member(_199993), _200077), _199995))]], _199995 = c_Orderings_Obot__class_Obot(tc_fun(_199993, tc_HOL_Obool))], (5398 ^ _82167) ^ [_200202, _200204] : [-(_200204 = c_Orderings_Obot__class_Obot(tc_fun(_200202, tc_HOL_Obool))), -(hBOOL(hAPP(hAPP(c_member(_200202), 5401 ^ [_200202, _200204]), _200204)))], (5405 ^ _82167) ^ [_200534, _200536] : [-(hBOOL(hAPP(hAPP(c_member(_200534), 5406 ^ [_200534, _200536]), _200536))), -(_200536 = c_Orderings_Obot__class_Obot(tc_fun(_200534, tc_HOL_Obool)))], (5412 ^ _82167) ^ [_200789, _200791] : [_200791 = c_Orderings_Obot__class_Obot(tc_fun(_200789, tc_HOL_Obool)), 5415 ^ _82167 : [(5416 ^ _82167) ^ [_200923] : [hBOOL(hAPP(hAPP(c_member(_200789), _200923), _200791))]]], (5418 ^ _82167) ^ [_201062, _201064, _201066] : [class_Orderings_Obot(_201062), -(hAPP(c_Orderings_Obot__class_Obot(tc_fun(_201064, _201062)), _201066) = c_Orderings_Obot__class_Obot(_201062))], (5424 ^ _82167) ^ [_201310, _201312, _201314] : [class_Orderings_Obot(_201310), -(hAPP(c_Orderings_Obot__class_Obot(tc_fun(_201312, _201310)), _201314) = c_Orderings_Obot__class_Obot(_201310))], (5430 ^ _82167) ^ [_201543, _201545, _201547] : [-(c_Product__Type_OSigma(_201543, _201545, c_Orderings_Obot__class_Obot(tc_fun(_201543, tc_HOL_Obool)), _201547) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_201543, _201545), tc_HOL_Obool)))], (5442 ^ _82167) ^ [_202061, _202063, _202065, _202067] : [5443 ^ _82167 : [(5444 ^ _82167) ^ [] : [_202065 = c_Orderings_Obot__class_Obot(tc_fun(_202061, tc_HOL_Obool))], (5446 ^ _82167) ^ [] : [_202067 = c_Orderings_Obot__class_Obot(tc_fun(_202063, tc_HOL_Obool))]], -(c_Product__Type_OSigma(_202061, _202063, _202065, c_COMBK(tc_fun(_202063, tc_HOL_Obool), _202061, _202067)) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_202061, _202063), tc_HOL_Obool)))], (5432 ^ _82167) ^ [_201729, _201731, _201733, _201735] : [c_Product__Type_OSigma(_201729, _201731, _201733, c_COMBK(tc_fun(_201731, tc_HOL_Obool), _201729, _201735)) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_201729, _201731), tc_HOL_Obool)), -(_201733 = c_Orderings_Obot__class_Obot(tc_fun(_201729, tc_HOL_Obool))), -(_201735 = c_Orderings_Obot__class_Obot(tc_fun(_201731, tc_HOL_Obool)))], (5450 ^ _82167) ^ [_202422, _202424, _202426] : [-(c_Product__Type_OSigma(_202422, _202424, _202426, c_COMBK(tc_fun(_202424, tc_HOL_Obool), _202422, c_Orderings_Obot__class_Obot(tc_fun(_202424, tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_202422, _202424), tc_HOL_Obool)))], (5452 ^ _82167) ^ [_202601, _202603, _202605] : [hBOOL(hAPP(hAPP(c_member(_202601), _202603), c_Set_Oinsert(_202601, _202605, c_Orderings_Obot__class_Obot(tc_fun(_202601, tc_HOL_Obool))))), -(_202603 = _202605)], (5458 ^ _82167) ^ [_202801, _202803, _202805] : [_202803 = _202805, -(hBOOL(hAPP(hAPP(c_member(_202801), _202803), c_Set_Oinsert(_202801, _202805, c_Orderings_Obot__class_Obot(tc_fun(_202801, tc_HOL_Obool))))))], (5464 ^ _82167) ^ [_203065, _203067, _203069] : [hBOOL(hAPP(hAPP(c_member(_203065), _203067), c_Set_Oinsert(_203065, _203069, c_Orderings_Obot__class_Obot(tc_fun(_203065, tc_HOL_Obool))))), -(_203067 = _203069)], (5470 ^ _82167) ^ [_203327, _203329, _203331] : [c_Orderings_Oord__class_Oless__eq(tc_fun(_203327, tc_HOL_Obool), _203329, c_Set_Oinsert(_203327, _203331, c_Orderings_Obot__class_Obot(tc_fun(_203327, tc_HOL_Obool)))), -(_203329 = c_Orderings_Obot__class_Obot(tc_fun(_203327, tc_HOL_Obool))), -(_203329 = c_Set_Oinsert(_203327, _203331, c_Orderings_Obot__class_Obot(tc_fun(_203327, tc_HOL_Obool))))], (5480 ^ _82167) ^ [_203690, _203692, _203694] : [-(c_Set_Oinsert(_203690, _203692, _203694) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_203690, tc_HOL_Obool)), c_Set_Oinsert(_203690, _203692, c_Orderings_Obot__class_Obot(tc_fun(_203690, tc_HOL_Obool)))), _203694))], (5482 ^ _82167) ^ [_203910, _203912, _203914, _203916, _203918, _203920] : [hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_203910, tc_fun(_203912, tc_HOL_Obool))), hAPP(hAPP(c_COMBC(_203910, tc_fun(tc_prod(_203910, _203912), tc_HOL_Obool), tc_fun(_203912, tc_HOL_Obool)), hAPP(c_COMBB(tc_fun(_203912, tc_fun(tc_fun(tc_prod(_203910, _203912), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_203910, _203912), tc_HOL_Obool), tc_fun(_203912, tc_HOL_Obool)), _203910, c_COMBC(_203912, tc_fun(tc_prod(_203910, _203912), tc_HOL_Obool), tc_HOL_Obool)), hAPP(c_COMBB(tc_fun(_203912, tc_prod(_203910, _203912)), tc_fun(_203912, tc_fun(tc_fun(tc_prod(_203910, _203912), tc_HOL_Obool), tc_HOL_Obool)), _203910, c_COMBB(tc_prod(_203910, _203912), tc_fun(tc_fun(tc_prod(_203910, _203912), tc_HOL_Obool), tc_HOL_Obool), _203912, c_member(tc_prod(_203910, _203912)))), c_Product__Type_OPair(_203910, _203912)))), _203914)), hAPP(hAPP(c_COMBC(_203910, tc_fun(tc_prod(_203910, _203912), tc_HOL_Obool), tc_fun(_203912, tc_HOL_Obool)), hAPP(c_COMBB(tc_fun(_203912, tc_fun(tc_fun(tc_prod(_203910, _203912), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_203910, _203912), tc_HOL_Obool), tc_fun(_203912, tc_HOL_Obool)), _203910, c_COMBC(_203912, tc_fun(tc_prod(_203910, _203912), tc_HOL_Obool), tc_HOL_Obool)), hAPP(c_COMBB(tc_fun(_203912, tc_prod(_203910, _203912)), tc_fun(_203912, tc_fun(tc_fun(tc_prod(_203910, _203912), tc_HOL_Obool), tc_HOL_Obool)), _203910, c_COMBB(tc_prod(_203910, _203912), tc_fun(tc_fun(tc_prod(_203910, _203912), tc_HOL_Obool), tc_HOL_Obool), _203912, c_member(tc_prod(_203910, _203912)))), c_Product__Type_OPair(_203910, _203912)))), _203916)), _203918), _203920)), -(hBOOL(hAPP(hAPP(c_member(tc_prod(_203910, _203912)), hAPP(hAPP(c_Product__Type_OPair(_203910, _203912), _203918), _203920)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_203910, _203912), tc_HOL_Obool)), _203914), _203916))))], (5488 ^ _82167) ^ [_204648, _204650, _204652, _204654, _204656, _204658] : [hBOOL(hAPP(hAPP(c_member(tc_prod(_204648, _204650)), hAPP(hAPP(c_Product__Type_OPair(_204648, _204650), _204656), _204658)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_204648, _204650), tc_HOL_Obool)), _204652), _204654))), -(hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_204648, tc_fun(_204650, tc_HOL_Obool))), hAPP(hAPP(c_COMBC(_204648, tc_fun(tc_prod(_204648, _204650), tc_HOL_Obool), tc_fun(_204650, tc_HOL_Obool)), hAPP(c_COMBB(tc_fun(_204650, tc_fun(tc_fun(tc_prod(_204648, _204650), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_204648, _204650), tc_HOL_Obool), tc_fun(_204650, tc_HOL_Obool)), _204648, c_COMBC(_204650, tc_fun(tc_prod(_204648, _204650), tc_HOL_Obool), tc_HOL_Obool)), hAPP(c_COMBB(tc_fun(_204650, tc_prod(_204648, _204650)), tc_fun(_204650, tc_fun(tc_fun(tc_prod(_204648, _204650), tc_HOL_Obool), tc_HOL_Obool)), _204648, c_COMBB(tc_prod(_204648, _204650), tc_fun(tc_fun(tc_prod(_204648, _204650), tc_HOL_Obool), tc_HOL_Obool), _204650, c_member(tc_prod(_204648, _204650)))), c_Product__Type_OPair(_204648, _204650)))), _204652)), hAPP(hAPP(c_COMBC(_204648, tc_fun(tc_prod(_204648, _204650), tc_HOL_Obool), tc_fun(_204650, tc_HOL_Obool)), hAPP(c_COMBB(tc_fun(_204650, tc_fun(tc_fun(tc_prod(_204648, _204650), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_204648, _204650), tc_HOL_Obool), tc_fun(_204650, tc_HOL_Obool)), _204648, c_COMBC(_204650, tc_fun(tc_prod(_204648, _204650), tc_HOL_Obool), tc_HOL_Obool)), hAPP(c_COMBB(tc_fun(_204650, tc_prod(_204648, _204650)), tc_fun(_204650, tc_fun(tc_fun(tc_prod(_204648, _204650), tc_HOL_Obool), tc_HOL_Obool)), _204648, c_COMBB(tc_prod(_204648, _204650), tc_fun(tc_fun(tc_prod(_204648, _204650), tc_HOL_Obool), tc_HOL_Obool), _204650, c_member(tc_prod(_204648, _204650)))), c_Product__Type_OPair(_204648, _204650)))), _204654)), _204656), _204658)))], (5494 ^ _82167) ^ [_205421, _205423] : [-(c_Set_Othe__elem(_205421, c_Set_Oinsert(_205421, _205423, c_Orderings_Obot__class_Obot(tc_fun(_205421, tc_HOL_Obool)))) = _205423)], (5496 ^ _82167) ^ [_205612, _205614, _205616, _205618, _205620, _205622, _205624] : [hBOOL(hAPP(hAPP(c_member(_205612), _205614), _205616)), hBOOL(hAPP(hAPP(c_member(tc_fun(_205618, _205612)), _205620), c_FuncSet_Oextensional__funcset(_205618, _205612, _205622, c_Groups_Ominus__class_Ominus(tc_fun(_205612, tc_HOL_Obool), _205616, c_Set_Oinsert(_205612, _205614, c_Orderings_Obot__class_Obot(tc_fun(_205612, tc_HOL_Obool))))))), -(hBOOL(hAPP(hAPP(c_member(tc_fun(_205618, _205612)), c_Fun_Ofun__upd(_205618, _205612, _205620, _205624, _205614)), c_FuncSet_Oextensional__funcset(_205618, _205612, c_Set_Oinsert(_205618, _205624, _205622), _205616))))], (5506 ^ _82167) ^ [_206143, _206145, _206147, _206149, _206151, _206153] : [5507 ^ _82167 : [(5508 ^ _82167) ^ [] : [hBOOL(hAPP(hAPP(_206143, _206145), _206147))], (5510 ^ _82167) ^ [] : [hBOOL(hAPP(hAPP(_206149, _206145), _206147))]], -(hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_206151, tc_fun(_206153, tc_HOL_Obool))), _206149), _206143), _206145), _206147)))], (5514 ^ _82167) ^ [_206575, _206577, _206579, _206581, _206583, _206585] : [hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_206575, tc_fun(_206577, tc_HOL_Obool))), _206579), _206581), _206583), _206585)), -(hBOOL(hAPP(hAPP(_206579, _206583), _206585))), -(hBOOL(hAPP(hAPP(_206581, _206583), _206585)))], (5524 ^ _82167) ^ [_207003, _207005, _207007, _207009] : [hBOOL(hAPP(hAPP(c_member(_207003), _207005), _207007)), -(hBOOL(hAPP(hAPP(c_member(_207003), _207005), _207009))), -(hBOOL(hAPP(hAPP(c_member(_207003), _207005), c_Groups_Ominus__class_Ominus(tc_fun(_207003, tc_HOL_Obool), _207007, _207009))))], (5534 ^ _82167) ^ [_207409, _207411, _207413, _207415] : [hBOOL(hAPP(hAPP(c_member(_207409), _207411), c_Groups_Ominus__class_Ominus(tc_fun(_207409, tc_HOL_Obool), _207413, _207415))), 5537 ^ _82167 : [(5538 ^ _82167) ^ [] : [-(hBOOL(hAPP(hAPP(c_member(_207409), _207411), _207413)))], (5540 ^ _82167) ^ [] : [hBOOL(hAPP(hAPP(c_member(_207409), _207411), _207415))]]], (5542 ^ _82167) ^ [_207780, _207782, _207784, _207786] : [-(c_Groups_Ominus__class_Ominus(tc_fun(_207780, tc_HOL_Obool), _207782, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_207780, tc_HOL_Obool)), _207784), _207786)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_207780, tc_HOL_Obool)), c_Groups_Ominus__class_Ominus(tc_fun(_207780, tc_HOL_Obool), _207782, _207784)), c_Groups_Ominus__class_Ominus(tc_fun(_207780, tc_HOL_Obool), _207782, _207786)))], (5544 ^ _82167) ^ [_207949, _207951, _207953, _207955] : [-(c_Groups_Ominus__class_Ominus(tc_fun(_207949, tc_HOL_Obool), _207951, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_207949, tc_HOL_Obool)), _207953), _207955)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_207949, tc_HOL_Obool)), c_Groups_Ominus__class_Ominus(tc_fun(_207949, tc_HOL_Obool), _207951, _207953)), c_Groups_Ominus__class_Ominus(tc_fun(_207949, tc_HOL_Obool), _207951, _207955)))], (5546 ^ _82167) ^ [_208104, _208106, _208108] : [-(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_208104, tc_HOL_Obool)), c_Groups_Ominus__class_Ominus(tc_fun(_208104, tc_HOL_Obool), _208106, _208108)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_208104, tc_HOL_Obool)), _208106), _208108)) = _208106)], (5548 ^ _82167) ^ [_208257, _208259, _208261, _208263] : [-(c_Groups_Ominus__class_Ominus(tc_fun(_208257, tc_HOL_Obool), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_208257, tc_HOL_Obool)), _208259), _208261), _208263) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_208257, tc_HOL_Obool)), c_Groups_Ominus__class_Ominus(tc_fun(_208257, tc_HOL_Obool), _208259, _208263)), c_Groups_Ominus__class_Ominus(tc_fun(_208257, tc_HOL_Obool), _208261, _208263)))], (5550 ^ _82167) ^ [_208412, _208414, _208416] : [-(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_208412, tc_HOL_Obool)), c_Groups_Ominus__class_Ominus(tc_fun(_208412, tc_HOL_Obool), _208414, _208416)), _208416) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_208412, tc_HOL_Obool)), _208414), _208416))], (5552 ^ _82167) ^ [_208551, _208553, _208555] : [-(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_208551, tc_HOL_Obool)), _208553), c_Groups_Ominus__class_Ominus(tc_fun(_208551, tc_HOL_Obool), _208555, _208553)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_208551, tc_HOL_Obool)), _208553), _208555))], (5554 ^ _82167) ^ [_208747, _208749, _208751, _208753, _208755, _208757] : [hBOOL(hAPP(hAPP(_208747, _208749), _208751)), -(hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_208753, tc_fun(_208755, tc_HOL_Obool))), _208757), _208747), _208749), _208751)))], (5560 ^ _82167) ^ [_209085, _209087, _209089, _209091, _209093, _209095] : [hBOOL(hAPP(hAPP(_209085, _209087), _209089)), -(hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_209091, tc_fun(_209093, tc_HOL_Obool))), _209085), _209095), _209087), _209089)))], (5566 ^ _82167) ^ [_209424, _209426, _209428, _209430] : [c_Orderings_Oord__class_Oless__eq(tc_fun(_209424, tc_HOL_Obool), c_Groups_Ominus__class_Ominus(tc_fun(_209424, tc_HOL_Obool), _209426, _209428), _209430), -(c_Orderings_Oord__class_Oless__eq(tc_fun(_209424, tc_HOL_Obool), _209426, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_209424, tc_HOL_Obool)), _209428), _209430)))], (5572 ^ _82167) ^ [_209650, _209652, _209654, _209656] : [c_Orderings_Oord__class_Oless__eq(tc_fun(_209650, tc_HOL_Obool), _209652, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_209650, tc_HOL_Obool)), _209654), _209656)), -(c_Orderings_Oord__class_Oless__eq(tc_fun(_209650, tc_HOL_Obool), c_Groups_Ominus__class_Ominus(tc_fun(_209650, tc_HOL_Obool), _209652, _209654), _209656))], (5578 ^ _82167) ^ [_209940, _209942, _209944] : [c_Orderings_Oord__class_Oless__eq(tc_fun(_209940, tc_HOL_Obool), _209942, _209944), -(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_209940, tc_HOL_Obool)), _209942), c_Groups_Ominus__class_Ominus(tc_fun(_209940, tc_HOL_Obool), _209944, _209942)) = _209944)], (5584 ^ _82167) ^ [_210213, _210215, _210217, _210219] : [-(c_Groups_Ominus__class_Ominus(tc_fun(_210213, tc_HOL_Obool), _210215, c_Set_Oinsert(_210213, _210217, _210219)) = c_Groups_Ominus__class_Ominus(tc_fun(_210213, tc_HOL_Obool), c_Groups_Ominus__class_Ominus(tc_fun(_210213, tc_HOL_Obool), _210215, _210219), c_Set_Oinsert(_210213, _210217, c_Orderings_Obot__class_Obot(tc_fun(_210213, tc_HOL_Obool)))))], (5586 ^ _82167) ^ [_210373, _210375, _210377, _210379] : [-(c_Groups_Ominus__class_Ominus(tc_fun(_210373, tc_HOL_Obool), _210375, c_Set_Oinsert(_210373, _210377, _210379)) = c_Groups_Ominus__class_Ominus(tc_fun(_210373, tc_HOL_Obool), c_Groups_Ominus__class_Ominus(tc_fun(_210373, tc_HOL_Obool), _210375, c_Set_Oinsert(_210373, _210377, c_Orderings_Obot__class_Obot(tc_fun(_210373, tc_HOL_Obool)))), _210379))], (5588 ^ _82167) ^ [_210519, _210521, _210523] : [-(c_Set_Oinsert(_210519, _210521, c_Groups_Ominus__class_Ominus(tc_fun(_210519, tc_HOL_Obool), _210523, c_Set_Oinsert(_210519, _210521, c_Orderings_Obot__class_Obot(tc_fun(_210519, tc_HOL_Obool))))) = c_Set_Oinsert(_210519, _210521, _210523))], (5590 ^ _82167) ^ [] : [-(class_Lattices_Obounded__lattice(tc_HOL_Obool))], (5592 ^ _82167) ^ [_210707, _210709] : [class_Lattices_Obounded__lattice(_210707), -(class_Lattices_Obounded__lattice(tc_fun(_210709, _210707)))], (5598 ^ _82167) ^ [_210919, _210921] : [class_Lattices_Obounded__lattice(_210919), -(class_Lattices_Obounded__lattice__bot(tc_fun(_210921, _210919)))], (5604 ^ _82167) ^ [_211131, _211133] : [class_Lattices_Olattice(_211131), -(class_Lattices_Osemilattice__sup(tc_fun(_211133, _211131)))], (5610 ^ _82167) ^ [_211343, _211345] : [class_Lattices_Olattice(_211343), -(class_Lattices_Osemilattice__inf(tc_fun(_211345, _211343)))], (5616 ^ _82167) ^ [_211555, _211557] : [class_Lattices_Odistrib__lattice(_211555), -(class_Lattices_Odistrib__lattice(tc_fun(_211557, _211555)))], (5622 ^ _82167) ^ [_211767, _211769] : [class_Orderings_Opreorder(_211767), -(class_Orderings_Opreorder(tc_fun(_211769, _211767)))], (5628 ^ _82167) ^ [_211979, _211981] : [class_Lattices_Olattice(_211979), -(class_Lattices_Olattice(tc_fun(_211981, _211979)))], (5634 ^ _82167) ^ [_212191, _212193] : [class_Orderings_Oorder(_212191), -(class_Orderings_Oorder(tc_fun(_212193, _212191)))], (5640 ^ _82167) ^ [_212403, _212405] : [class_Orderings_Oord(_212403), -(class_Orderings_Oord(tc_fun(_212405, _212403)))], (5646 ^ _82167) ^ [_212615, _212617] : [class_Orderings_Obot(_212615), -(class_Orderings_Obot(tc_fun(_212617, _212615)))], (5652 ^ _82167) ^ [] : [-(class_Lattices_Osemilattice__sup(tc_Nat_Onat))], (5654 ^ _82167) ^ [] : [-(class_Lattices_Osemilattice__inf(tc_Nat_Onat))], (5656 ^ _82167) ^ [] : [-(class_Lattices_Odistrib__lattice(tc_Nat_Onat))], (5658 ^ _82167) ^ [] : [-(class_Orderings_Opreorder(tc_Nat_Onat))], (5660 ^ _82167) ^ [] : [-(class_Orderings_Olinorder(tc_Nat_Onat))], (5662 ^ _82167) ^ [] : [-(class_Lattices_Olattice(tc_Nat_Onat))], (5664 ^ _82167) ^ [] : [-(class_Orderings_Oorder(tc_Nat_Onat))], (5666 ^ _82167) ^ [] : [-(class_Orderings_Oord(tc_Nat_Onat))], (5668 ^ _82167) ^ [] : [-(class_Orderings_Obot(tc_Nat_Onat))], (5670 ^ _82167) ^ [] : [-(class_Lattices_Obounded__lattice__bot(tc_HOL_Obool))], (5672 ^ _82167) ^ [] : [-(class_Lattices_Osemilattice__sup(tc_HOL_Obool))], (5674 ^ _82167) ^ [] : [-(class_Lattices_Osemilattice__inf(tc_HOL_Obool))], (5676 ^ _82167) ^ [] : [-(class_Lattices_Odistrib__lattice(tc_HOL_Obool))], (5678 ^ _82167) ^ [] : [-(class_Orderings_Opreorder(tc_HOL_Obool))], (5680 ^ _82167) ^ [] : [-(class_Lattices_Olattice(tc_HOL_Obool))], (5682 ^ _82167) ^ [] : [-(class_Orderings_Oorder(tc_HOL_Obool))], (5684 ^ _82167) ^ [] : [-(class_Orderings_Oord(tc_HOL_Obool))], (5686 ^ _82167) ^ [] : [-(class_Orderings_Obot(tc_HOL_Obool))], (5688 ^ _82167) ^ [_213766, _213768] : [-(hAPP(c_COMBI(_213766), _213768) = _213768)], (5690 ^ _82167) ^ [_213893, _213895, _213897, _213899] : [-(hAPP(c_COMBK(_213893, _213895, _213897), _213899) = _213897)], (5692 ^ _82167) ^ [_214054, _214056, _214058, _214060, _214062, _214064] : [-(hAPP(hAPP(c_COMBB(_214054, _214056, _214058, _214060), _214062), _214064) = hAPP(_214060, hAPP(_214062, _214064)))], (5694 ^ _82167) ^ [_214229, _214231, _214233, _214235, _214237, _214239] : [-(hAPP(hAPP(hAPP(c_COMBC(_214229, _214231, _214233), _214235), _214237), _214239) = hAPP(hAPP(_214235, _214239), _214237))], (5696 ^ _82167) ^ [_214406, _214408, _214410, _214412, _214414, _214416] : [-(hAPP(hAPP(hAPP(c_COMBS(_214406, _214408, _214410), _214412), _214414), _214416) = hAPP(hAPP(_214412, _214416), hAPP(_214414, _214416)))], (5698 ^ _82167) ^ [_214545, _214547] : [hBOOL(hAPP(hAPP(c_fequal, _214545), _214547)), -(_214545 = _214547)], (5704 ^ _82167) ^ [_214767, _214769] : [_214767 = _214769, -(hBOOL(hAPP(hAPP(c_fequal, _214767), _214769)))], (5710 ^ _82167) ^ [_214975] : [hBOOL(hAPP(c_fNot, _214975)), hBOOL(_214975)], (5716 ^ _82167) ^ [_215150] : [-(hBOOL(_215150)), -(hBOOL(hAPP(c_fNot, _215150)))]], input).
% 135.04/130.09 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____), v_b____)), hAPP(v_F, v_Q____)))],start(5722 ^ 0)).
% 135.04/130.09 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____), v_b____)), hAPP(v_F, v_Q____)))), 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____), v_b____)), hAPP(v_F, v_P____))), 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____), v_b____)), hAPP(v_P____, 1106 ^ [v_P____, v_Q____, v_b____, v_a____])))), 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____), v_b____)), hAPP(v_Q____, 1106 ^ [v_P____, v_Q____, v_b____, v_a____])))), 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_Q____), 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_P____), c_Arrow__Order__Mirabelle_OProf))],extension(1097 ^ 1,bind([[_99475, _99640, _99791, _99793], [v_P____, v_Q____, v_b____, v_a____]]))).
% 135.04/130.09 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____), v_b____)), hAPP(v_F, v_P____))))],extension(1083 ^ 8)).
% 135.04/130.09 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____), v_b____)), hAPP(v_P____, 1106 ^ [v_P____, v_Q____, v_b____, v_a____]))), -(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____, 1106 ^ [v_P____, v_Q____, v_b____, v_a____]))))],extension(1085 ^ 8,bind([[_99287], [1106 ^ [v_P____, v_Q____, v_b____, v_a____]]]))).
% 135.04/130.09 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____), v_b____)), hAPP(v_Q____, 1106 ^ [v_P____, v_Q____, v_b____, v_a____])))],extension(1112 ^ 9)).
% 135.04/130.09 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____), v_b____)), hAPP(v_Q____, 1106 ^ [v_P____, v_Q____, v_b____, v_a____]))), -(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____, 1106 ^ [v_P____, v_Q____, v_b____, v_a____]))))],extension(1091 ^ 8,bind([[_99378], [1106 ^ [v_P____, v_Q____, v_b____, v_a____]]]))).
% 135.04/130.09 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____), v_b____)), hAPP(v_P____, 1106 ^ [v_P____, v_Q____, v_b____, v_a____])))],extension(1116 ^ 9)).
% 135.04/130.09 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_Q____), c_Arrow__Order__Mirabelle_OProf)))],extension(1312 ^ 4)).
% 135.04/130.09 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_P____), c_Arrow__Order__Mirabelle_OProf)))],extension(1308 ^ 2)).
% 135.04/130.09 %-----------------------------------------------------
% 135.04/130.09 End of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
%------------------------------------------------------------------------------