TSTP Solution File: SWW267+1 by nanoCoP---2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : nanoCoP---2.0
% Problem : SWW267+1 : TPTP v8.1.2. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : nanocop.sh %s %d
% Computer : n011.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 12:25:51 EDT 2023
% Result : Theorem 0.56s 1.38s
% Output : Proof 0.56s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SWW267+1 : TPTP v8.1.2. Released v5.2.0.
% 0.00/0.12 % Command : nanocop.sh %s %d
% 0.13/0.33 % Computer : n011.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Thu May 18 22:20:03 EDT 2023
% 0.13/0.33 % CPUTime :
% 0.56/1.38
% 0.56/1.38 /export/starexec/sandbox/benchmark/theBenchmark.p is a Theorem
% 0.56/1.38 Start of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.56/1.38 %-----------------------------------------------------
% 0.56/1.38 ncf(matrix, plain, [(11884 ^ _164577) ^ [] : [c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex, c_Groups_Oone__class_Oone(tc_Complex_Ocomplex), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex), hAPP(hAPP(c_Power_Opower__class_Opower(tc_Complex_Ocomplex), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex), c_RealVector_Oof__real(tc_Complex_Ocomplex, v_t____)), v_w____)), v_k____)), c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex, v_a____, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex), c_RealVector_Oof__real(tc_Complex_Ocomplex, v_t____)), v_w____)), hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex, v_s____), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex), c_RealVector_Oof__real(tc_Complex_Ocomplex, v_t____)), v_w____))))))), c_Groups_Oone__class_Oone(tc_RealDef_Oreal))], (880 ^ _164577) ^ [_191625, _191627, _191629, _191631, _191633, _191635] : [-(c_Polynomial_Omonom(_191635, _191631, _191627) = c_Polynomial_Omonom(_191633, _191629, _191625)), _191635 = _191633, _191631 = _191629, _191627 = _191625], (894 ^ _164577) ^ [_192141, _192143, _192145, _192147, _192149, _192151] : [-(c_Polynomial_Osynthetic__div(_192151, _192147, _192143) = c_Polynomial_Osynthetic__div(_192149, _192145, _192141)), _192151 = _192149, _192147 = _192145, _192143 = _192141], (908 ^ _164577) ^ [_192657, _192659, _192661, _192663, _192665, _192667] : [-(c_Polynomial_Opcompose(_192667, _192663, _192659) = c_Polynomial_Opcompose(_192665, _192661, _192657)), _192667 = _192665, _192663 = _192661, _192659 = _192657], (922 ^ _164577) ^ [_193145, _193147, _193149, _193151] : [-(c_Rings_Oinverse__class_Oinverse(_193151, _193147) = c_Rings_Oinverse__class_Oinverse(_193149, _193145)), _193151 = _193149, _193147 = _193145], (932 ^ _164577) ^ [_193532, _193534, _193536, _193538, _193540, _193542] : [-(c_Power_Opower_Opower(_193542, _193538, _193534) = c_Power_Opower_Opower(_193540, _193536, _193532)), _193542 = _193540, _193538 = _193536, _193534 = _193532], (946 ^ _164577) ^ [_194020, _194022, _194024, _194026] : [-(c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(_194026, _194022) = c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(_194024, _194020)), _194026 = _194024, _194022 = _194020], (956 ^ _164577) ^ [_194379, _194381, _194383, _194385] : [-(c_Nat__Transfer_Otsub(_194385, _194381) = c_Nat__Transfer_Otsub(_194383, _194379)), _194385 = _194383, _194381 = _194379], (966 ^ _164577) ^ [_194710, _194712] : [_194712 = _194710, -(c_RComplete_Onatfloor(_194712) = c_RComplete_Onatfloor(_194710))], (972 ^ _164577) ^ [_194928, _194930] : [_194930 = _194928, -(c_RComplete_Onatceiling(_194930) = c_RComplete_Onatceiling(_194928))], (978 ^ _164577) ^ [_195174, _195176, _195178, _195180] : [-(c_RealDef_Oreal(_195180, _195176) = c_RealDef_Oreal(_195178, _195174)), _195180 = _195178, _195176 = _195174], (988 ^ _164577) ^ [_195533, _195535, _195537, _195539] : [-(c_Groups_Oabs__class_Oabs(_195539, _195535) = c_Groups_Oabs__class_Oabs(_195537, _195533)), _195539 = _195537, _195535 = _195533], (998 ^ _164577) ^ [_195892, _195894, _195896, _195898] : [-(c_Groups_Osgn__class_Osgn(_195898, _195894) = c_Groups_Osgn__class_Osgn(_195896, _195892)), _195898 = _195896, _195894 = _195892], (1008 ^ _164577) ^ [_196279, _196281, _196283, _196285, _196287, _196289] : [-(c_Polynomial_Oorder(_196289, _196285, _196281) = c_Polynomial_Oorder(_196287, _196283, _196279)), _196289 = _196287, _196285 = _196283, _196281 = _196279], (1022 ^ _164577) ^ [_196795, _196797, _196799, _196801, _196803, _196805] : [-(c_Polynomial_OpCons(_196805, _196801, _196797) = c_Polynomial_OpCons(_196803, _196799, _196795)), _196805 = _196803, _196801 = _196799, _196797 = _196795], (1036 ^ _164577) ^ [_197283, _197285, _197287, _197289] : [-(c_Groups_Ouminus__class_Ouminus(_197289, _197285) = c_Groups_Ouminus__class_Ouminus(_197287, _197283)), _197289 = _197287, _197285 = _197283], (1046 ^ _164577) ^ [_197670, _197672, _197674, _197676, _197678, _197680] : [-(c_Groups_Ominus__class_Ominus(_197680, _197676, _197672) = c_Groups_Ominus__class_Ominus(_197678, _197674, _197670)), _197680 = _197678, _197676 = _197674, _197672 = _197670], (1060 ^ _164577) ^ [_198186, _198188, _198190, _198192, _198194, _198196] : [-(c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(_198196, _198192, _198188) = c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(_198194, _198190, _198186)), _198196 = _198194, _198192 = _198190, _198188 = _198186], (1074 ^ _164577) ^ [_198646, _198648] : [_198648 = _198646, -(c_Groups_Ozero__class_Ozero(_198648) = c_Groups_Ozero__class_Ozero(_198646))], (1080 ^ _164577) ^ [_198920, _198922, _198924, _198926, _198928, _198930] : [-(c_Polynomial_Osmult(_198930, _198926, _198922) = c_Polynomial_Osmult(_198928, _198924, _198920)), _198930 = _198928, _198926 = _198924, _198922 = _198920], (1094 ^ _164577) ^ [_199408, _199410, _199412, _199414] : [-(tc_fun(_199414, _199410) = tc_fun(_199412, _199408)), _199414 = _199412, _199410 = _199408], (1104 ^ _164577) ^ [_199739, _199741] : [_199741 = _199739, -(tc_Polynomial_Opoly(_199741) = tc_Polynomial_Opoly(_199739))], (1110 ^ _164577) ^ [_199985, _199987, _199989, _199991] : [-(c_RealVector_Onorm__class_Onorm(_199991, _199987) = c_RealVector_Onorm__class_Onorm(_199989, _199985)), _199991 = _199989, _199987 = _199985], (1120 ^ _164577) ^ [_200316, _200318] : [_200318 = _200316, -(c_Power_Opower__class_Opower(_200318) = c_Power_Opower__class_Opower(_200316))], (1126 ^ _164577) ^ [_200590, _200592, _200594, _200596, _200598, _200600] : [-(c_Groups_Oplus__class_Oplus(_200600, _200596, _200592) = c_Groups_Oplus__class_Oplus(_200598, _200594, _200590)), _200600 = _200598, _200596 = _200594, _200592 = _200590], (1140 ^ _164577) ^ [_201078, _201080, _201082, _201084] : [-(c_Polynomial_Opoly(_201084, _201080) = c_Polynomial_Opoly(_201082, _201078)), _201084 = _201082, _201080 = _201078], (1150 ^ _164577) ^ [_201437, _201439, _201441, _201443] : [-(hAPP(_201443, _201439) = hAPP(_201441, _201437)), _201443 = _201441, _201439 = _201437], (1160 ^ _164577) ^ [_201768, _201770] : [_201770 = _201768, -(c_Groups_Otimes__class_Otimes(_201770) = c_Groups_Otimes__class_Otimes(_201768))], (1176 ^ _164577) ^ [_202325, _202327] : [_202327 = _202325, -(c_Groups_Oone__class_Oone(_202327) = c_Groups_Oone__class_Oone(_202325))], (1166 ^ _164577) ^ [_202014, _202016, _202018, _202020] : [-(c_RealVector_Oof__real(_202020, _202016) = c_RealVector_Oof__real(_202018, _202014)), _202020 = _202018, _202016 = _202014], (2 ^ _164577) ^ [_164721] : [-(_164721 = _164721)], (4 ^ _164577) ^ [_164828, _164830] : [_164830 = _164828, -(_164828 = _164830)], (10 ^ _164577) ^ [_165032, _165034, _165036] : [-(_165036 = _165032), _165036 = _165034, _165034 = _165032], (20 ^ _164577) ^ [_165401, _165403, _165405, _165407, _165409, _165411] : [-(c_Fundamental__Theorem__Algebra__Mirabelle_Oconstant(_165409, _165405, _165401)), c_Fundamental__Theorem__Algebra__Mirabelle_Oconstant(_165411, _165407, _165403), _165411 = _165409, _165407 = _165405, _165403 = _165401], (38 ^ _164577) ^ [_165982, _165984, _165986, _165988] : [-(c_Polynomial_Opos__poly(_165986, _165982)), c_Polynomial_Opos__poly(_165988, _165984), _165988 = _165986, _165984 = _165982], (52 ^ _164577) ^ [_166426, _166428, _166430, _166432] : [-(c_SEQ_Odecseq(_166430, _166426)), c_SEQ_Odecseq(_166432, _166428), _166432 = _166430, _166428 = _166426], (66 ^ _164577) ^ [_166842, _166844] : [-(class_Lattices_Oab__semigroup__idem__mult(_166842)), _166844 = _166842, class_Lattices_Oab__semigroup__idem__mult(_166844)], (76 ^ _164577) ^ [_167193, _167195, _167197, _167199, _167201, _167203] : [-(c_Orderings_Oord__class_Oless__eq(_167201, _167197, _167193)), c_Orderings_Oord__class_Oless__eq(_167203, _167199, _167195), _167203 = _167201, _167199 = _167197, _167195 = _167193], (94 ^ _164577) ^ [_167746, _167748] : [-(hBOOL(_167746)), _167748 = _167746, hBOOL(_167748)], (104 ^ _164577) ^ [_168097, _168099, _168101, _168103, _168105, _168107] : [-(c_Rings_Odvd__class_Odvd(_168105, _168101, _168097)), c_Rings_Odvd__class_Odvd(_168107, _168103, _168099), _168107 = _168105, _168103 = _168101, _168099 = _168097], (122 ^ _164577) ^ [_168650, _168652] : [-(class_Lattices_Oboolean__algebra(_168650)), _168652 = _168650, class_Lattices_Oboolean__algebra(_168652)], (132 ^ _164577) ^ [_168945, _168947] : [-(class_Fields_Olinordered__field__inverse__zero(_168945)), _168947 = _168945, class_Fields_Olinordered__field__inverse__zero(_168947)], (142 ^ _164577) ^ [_169240, _169242] : [-(class_Fields_Olinordered__field(_169240)), _169242 = _169240, class_Fields_Olinordered__field(_169242)], (152 ^ _164577) ^ [_169535, _169537] : [-(class_RealVector_Oreal__normed__div__algebra(_169535)), _169537 = _169535, class_RealVector_Oreal__normed__div__algebra(_169537)], (162 ^ _164577) ^ [_169830, _169832] : [-(class_Rings_Odivision__ring__inverse__zero(_169830)), _169832 = _169830, class_Rings_Odivision__ring__inverse__zero(_169832)], (172 ^ _164577) ^ [_170125, _170127] : [-(class_RealVector_Oreal__normed__algebra__1(_170125)), _170127 = _170125, class_RealVector_Oreal__normed__algebra__1(_170127)], (182 ^ _164577) ^ [_170420, _170422] : [-(class_RealVector_Oreal__normed__algebra(_170420)), _170422 = _170420, class_RealVector_Oreal__normed__algebra(_170422)], (192 ^ _164577) ^ [_170715, _170717] : [-(class_RealVector_Oreal__normed__vector(_170715)), _170717 = _170715, class_RealVector_Oreal__normed__vector(_170717)], (202 ^ _164577) ^ [_171010, _171012] : [-(class_RealVector_Oreal__div__algebra(_171010)), _171012 = _171010, class_RealVector_Oreal__div__algebra(_171012)], (212 ^ _164577) ^ [_171305, _171307] : [-(class_RealVector_Oreal__algebra__1(_171305)), _171307 = _171305, class_RealVector_Oreal__algebra__1(_171307)], (222 ^ _164577) ^ [_171600, _171602] : [-(class_Fields_Ofield__inverse__zero(_171600)), _171602 = _171600, class_Fields_Ofield__inverse__zero(_171602)], (232 ^ _164577) ^ [_171895, _171897] : [-(class_Rings_Odivision__ring(_171895)), _171897 = _171895, class_Rings_Odivision__ring(_171897)], (242 ^ _164577) ^ [_172190, _172192] : [-(class_Fields_Ofield(_172190)), _172192 = _172190, class_Fields_Ofield(_172192)], (252 ^ _164577) ^ [_172485, _172487] : [-(class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(_172485)), _172487 = _172485, class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(_172487)], (262 ^ _164577) ^ [_172780, _172782] : [-(class_Groups_Oordered__cancel__ab__semigroup__add(_172780)), _172782 = _172780, class_Groups_Oordered__cancel__ab__semigroup__add(_172782)], (272 ^ _164577) ^ [_173075, _173077] : [-(class_Groups_Oordered__ab__semigroup__add__imp__le(_173075)), _173077 = _173075, class_Groups_Oordered__ab__semigroup__add__imp__le(_173077)], (282 ^ _164577) ^ [_173370, _173372] : [-(class_Rings_Olinordered__comm__semiring__strict(_173370)), _173372 = _173370, class_Rings_Olinordered__comm__semiring__strict(_173372)], (292 ^ _164577) ^ [_173665, _173667] : [-(class_Rings_Olinordered__semiring__1__strict(_173665)), _173667 = _173665, class_Rings_Olinordered__semiring__1__strict(_173667)], (302 ^ _164577) ^ [_173960, _173962] : [-(class_Rings_Olinordered__semiring__strict(_173960)), _173962 = _173960, class_Rings_Olinordered__semiring__strict(_173962)], (312 ^ _164577) ^ [_174255, _174257] : [-(class_Groups_Oordered__ab__semigroup__add(_174255)), _174257 = _174255, class_Groups_Oordered__ab__semigroup__add(_174257)], (322 ^ _164577) ^ [_174550, _174552] : [-(class_Groups_Oordered__ab__group__add__abs(_174550)), _174552 = _174550, class_Groups_Oordered__ab__group__add__abs(_174552)], (332 ^ _164577) ^ [_174845, _174847] : [-(class_Groups_Oordered__comm__monoid__add(_174845)), _174847 = _174845, class_Groups_Oordered__comm__monoid__add(_174847)], (342 ^ _164577) ^ [_175140, _175142] : [-(class_Groups_Olinordered__ab__group__add(_175140)), _175142 = _175140, class_Groups_Olinordered__ab__group__add(_175142)], (352 ^ _164577) ^ [_175435, _175437] : [-(class_Groups_Ocancel__ab__semigroup__add(_175435)), _175437 = _175435, class_Groups_Ocancel__ab__semigroup__add(_175437)], (362 ^ _164577) ^ [_175730, _175732] : [-(class_Rings_Oring__1__no__zero__divisors(_175730)), _175732 = _175730, class_Rings_Oring__1__no__zero__divisors(_175732)], (372 ^ _164577) ^ [_176025, _176027] : [-(class_Rings_Oordered__cancel__semiring(_176025)), _176027 = _176025, class_Rings_Oordered__cancel__semiring(_176027)], (382 ^ _164577) ^ [_176320, _176322] : [-(class_Rings_Olinordered__ring__strict(_176320)), _176322 = _176320, class_Rings_Olinordered__ring__strict(_176322)], (392 ^ _164577) ^ [_176615, _176617] : [-(class_Rings_Oring__no__zero__divisors(_176615)), _176617 = _176615, class_Rings_Oring__no__zero__divisors(_176617)], (402 ^ _164577) ^ [_176910, _176912] : [-(class_Rings_Oordered__comm__semiring(_176910)), _176912 = _176910, class_Rings_Oordered__comm__semiring(_176912)], (412 ^ _164577) ^ [_177205, _177207] : [-(class_Rings_Olinordered__semiring__1(_177205)), _177207 = _177205, class_Rings_Olinordered__semiring__1(_177207)], (422 ^ _164577) ^ [_177500, _177502] : [-(class_Groups_Oordered__ab__group__add(_177500)), _177502 = _177500, class_Groups_Oordered__ab__group__add(_177502)], (432 ^ _164577) ^ [_177795, _177797] : [-(class_Groups_Ocancel__comm__monoid__add(_177795)), _177797 = _177795, class_Groups_Ocancel__comm__monoid__add(_177797)], (442 ^ _164577) ^ [_178090, _178092] : [-(class_Groups_Ocancel__semigroup__add(_178090)), _178092 = _178090, class_Groups_Ocancel__semigroup__add(_178092)], (452 ^ _164577) ^ [_178385, _178387] : [-(class_Rings_Olinordered__semiring(_178385)), _178387 = _178385, class_Rings_Olinordered__semiring(_178387)], (462 ^ _164577) ^ [_178680, _178682] : [-(class_Rings_Olinordered__semidom(_178680)), _178682 = _178680, class_Rings_Olinordered__semidom(_178682)], (472 ^ _164577) ^ [_178975, _178977] : [-(class_Groups_Oab__semigroup__mult(_178975)), _178977 = _178975, class_Groups_Oab__semigroup__mult(_178977)], (482 ^ _164577) ^ [_179270, _179272] : [-(class_Groups_Ocomm__monoid__mult(_179270)), _179272 = _179270, class_Groups_Ocomm__monoid__mult(_179272)], (492 ^ _164577) ^ [_179565, _179567] : [-(class_Groups_Oab__semigroup__add(_179565)), _179567 = _179565, class_Groups_Oab__semigroup__add(_179567)], (502 ^ _164577) ^ [_179860, _179862] : [-(class_Rings_Oordered__semiring(_179860)), _179862 = _179860, class_Rings_Oordered__semiring(_179862)], (512 ^ _164577) ^ [_180155, _180157] : [-(class_Rings_Oordered__ring__abs(_180155)), _180157 = _180155, class_Rings_Oordered__ring__abs(_180157)], (522 ^ _164577) ^ [_180450, _180452] : [-(class_Rings_Ono__zero__divisors(_180450)), _180452 = _180450, class_Rings_Ono__zero__divisors(_180452)], (532 ^ _164577) ^ [_180745, _180747] : [-(class_Rings_Olinordered__ring(_180745)), _180747 = _180745, class_Rings_Olinordered__ring(_180747)], (542 ^ _164577) ^ [_181040, _181042] : [-(class_Rings_Ocomm__semiring(_181040)), _181042 = _181040, class_Rings_Ocomm__semiring(_181042)], (552 ^ _164577) ^ [_181335, _181337] : [-(class_Rings_Ozero__neq__one(_181335)), _181337 = _181335, class_Rings_Ozero__neq__one(_181337)], (562 ^ _164577) ^ [_181630, _181632] : [-(class_Rings_Oordered__ring(_181630)), _181632 = _181630, class_Rings_Oordered__ring(_181632)], (572 ^ _164577) ^ [_181925, _181927] : [-(class_Orderings_Opreorder(_181925)), _181927 = _181925, class_Orderings_Opreorder(_181927)], (582 ^ _164577) ^ [_182220, _182222] : [-(class_Orderings_Olinorder(_182220)), _182222 = _182220, class_Orderings_Olinorder(_182222)], (592 ^ _164577) ^ [_182515, _182517] : [-(class_Groups_Omonoid__mult(_182515)), _182517 = _182515, class_Groups_Omonoid__mult(_182517)], (602 ^ _164577) ^ [_182810, _182812] : [-(class_Groups_Ocomm__monoid__add(_182810)), _182812 = _182810, class_Groups_Ocomm__monoid__add(_182812)], (612 ^ _164577) ^ [_183105, _183107] : [-(class_Groups_Omonoid__add(_183105)), _183107 = _183105, class_Groups_Omonoid__add(_183107)], (622 ^ _164577) ^ [_183400, _183402] : [-(class_Rings_Osemiring__0(_183400)), _183402 = _183400, class_Rings_Osemiring__0(_183402)], (632 ^ _164577) ^ [_183695, _183697] : [-(class_Groups_Ogroup__add(_183695)), _183697 = _183695, class_Groups_Ogroup__add(_183697)], (642 ^ _164577) ^ [_183990, _183992] : [-(class_Rings_Omult__zero(_183990)), _183992 = _183990, class_Rings_Omult__zero(_183992)], (652 ^ _164577) ^ [_184285, _184287] : [-(class_Orderings_Oorder(_184285)), _184287 = _184285, class_Orderings_Oorder(_184287)], (662 ^ _164577) ^ [_184580, _184582] : [-(class_Int_Oring__char__0(_184580)), _184582 = _184580, class_Int_Oring__char__0(_184582)], (672 ^ _164577) ^ [_184875, _184877] : [-(class_Rings_Ocomm__semiring__0(_184875)), _184877 = _184875, class_Rings_Ocomm__semiring__0(_184877)], (682 ^ _164577) ^ [_185170, _185172] : [-(class_Rings_Osemiring(_185170)), _185172 = _185170, class_Rings_Osemiring(_185172)], (692 ^ _164577) ^ [_185465, _185467] : [-(class_Orderings_Oord(_185465)), _185467 = _185465, class_Orderings_Oord(_185467)], (702 ^ _164577) ^ [_185760, _185762] : [-(class_Groups_Ouminus(_185760)), _185762 = _185760, class_Groups_Ouminus(_185762)], (712 ^ _164577) ^ [_186055, _186057] : [-(class_Groups_Osgn__if(_186055)), _186057 = _186055, class_Groups_Osgn__if(_186057)], (722 ^ _164577) ^ [_186350, _186352] : [-(class_Rings_Olinordered__idom(_186350)), _186352 = _186350, class_Rings_Olinordered__idom(_186352)], (732 ^ _164577) ^ [_186645, _186647] : [-(class_Groups_Oabs__if(_186645)), _186647 = _186645, class_Groups_Oabs__if(_186647)], (742 ^ _164577) ^ [_186940, _186942] : [-(class_Rings_Ocomm__ring__1(_186940)), _186942 = _186940, class_Rings_Ocomm__ring__1(_186942)], (752 ^ _164577) ^ [_187235, _187237] : [-(class_Rings_Oring__1(_187235)), _187237 = _187235, class_Rings_Oring__1(_187237)], (762 ^ _164577) ^ [_187530, _187532] : [-(class_Groups_Oab__group__add(_187530)), _187532 = _187530, class_Groups_Oab__group__add(_187532)], (772 ^ _164577) ^ [_187825, _187827] : [-(class_Groups_Ominus(_187825)), _187827 = _187825, class_Groups_Ominus(_187827)], (782 ^ _164577) ^ [_188120, _188122] : [-(class_Power_Opower(_188120)), _188122 = _188120, class_Power_Opower(_188122)], (792 ^ _164577) ^ [_188415, _188417] : [-(class_Groups_Ozero(_188415)), _188417 = _188415, class_Groups_Ozero(_188417)], (802 ^ _164577) ^ [_188710, _188712] : [-(class_Rings_Ocomm__ring(_188710)), _188712 = _188710, class_Rings_Ocomm__ring(_188712)], (812 ^ _164577) ^ [_189005, _189007] : [-(class_Rings_Oring(_189005)), _189007 = _189005, class_Rings_Oring(_189007)], (822 ^ _164577) ^ [_189300, _189302] : [-(class_Rings_Oidom(_189300)), _189302 = _189300, class_Rings_Oidom(_189302)], (832 ^ _164577) ^ [_189595, _189597] : [-(class_Groups_Oone(_189595)), _189597 = _189595, class_Groups_Oone(_189597)], (842 ^ _164577) ^ [_189890, _189892] : [-(class_Rings_Ocomm__semiring__1(_189890)), _189892 = _189890, class_Rings_Ocomm__semiring__1(_189892)], (852 ^ _164577) ^ [_190185, _190187] : [-(class_Rings_Odvd(_190185)), _190187 = _190185, class_Rings_Odvd(_190187)], (862 ^ _164577) ^ [_190516, _190518, _190520, _190522, _190524, _190526] : [-(c_Orderings_Oord__class_Oless(_190524, _190520, _190516)), c_Orderings_Oord__class_Oless(_190526, _190522, _190518), _190526 = _190524, _190522 = _190520, _190518 = _190516], (1182 ^ _164577) ^ [_202729, _202731] : [hAPP(_202729, 1183 ^ [_202729, _202731]) = hAPP(_202731, 1183 ^ [_202729, _202731]), -(_202729 = _202731)], (1189 ^ _164577) ^ [] : [-(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v_t____, c_Groups_Oone__class_Oone(tc_RealDef_Oreal)))], (1191 ^ _164577) ^ [] : [c_Fundamental__Theorem__Algebra__Mirabelle_Oconstant(tc_Complex_Ocomplex, tc_Complex_Ocomplex, c_Polynomial_Opoly(tc_Complex_Ocomplex, v_p))], (1193 ^ _164577) ^ [] : [v_k____ = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)], (1195 ^ _164577) ^ [] : [v_a____ = c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)], (1197 ^ _164577) ^ [] : [-(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), v_t____))], (1199 ^ _164577) ^ [] : [-(c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex, c_Groups_Oone__class_Oone(tc_Complex_Ocomplex), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex), hAPP(hAPP(c_Power_Opower__class_Opower(tc_Complex_Ocomplex), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex), c_RealVector_Oof__real(tc_Complex_Ocomplex, v_t____)), v_w____)), v_k____)), c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex, v_a____, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex), c_RealVector_Oof__real(tc_Complex_Ocomplex, v_t____)), v_w____)), hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex, v_s____), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex), c_RealVector_Oof__real(tc_Complex_Ocomplex, v_t____)), v_w____)))))) = c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex, c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex, c_Groups_Oone__class_Oone(tc_Complex_Ocomplex), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex), hAPP(hAPP(c_Power_Opower__class_Opower(tc_Complex_Ocomplex), c_RealVector_Oof__real(tc_Complex_Ocomplex, v_t____)), v_k____)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex), hAPP(hAPP(c_Power_Opower__class_Opower(tc_Complex_Ocomplex), v_w____), v_k____)), v_a____))), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex), hAPP(hAPP(c_Power_Opower__class_Opower(tc_Complex_Ocomplex), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex), c_RealVector_Oof__real(tc_Complex_Ocomplex, v_t____)), v_w____)), v_k____)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex), c_RealVector_Oof__real(tc_Complex_Ocomplex, v_t____)), v_w____))), hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex, v_s____), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex), c_RealVector_Oof__real(tc_Complex_Ocomplex, v_t____)), v_w____)))))], (1201 ^ _164577) ^ [] : [-(c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex, c_Groups_Oone__class_Oone(tc_Complex_Ocomplex), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex), hAPP(hAPP(c_Power_Opower__class_Opower(tc_Complex_Ocomplex), v_w____), v_k____)), v_a____)) = c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex))], (1203 ^ _164577) ^ [] : [-(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex), hAPP(hAPP(c_Power_Opower__class_Opower(tc_Complex_Ocomplex), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex), c_RealVector_Oof__real(tc_Complex_Ocomplex, v_t____)), v_w____)), v_k____)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex), c_RealVector_Oof__real(tc_Complex_Ocomplex, v_t____)), v_w____))), hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex, v_s____), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex), c_RealVector_Oof__real(tc_Complex_Ocomplex, v_t____)), v_w____)))), hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal), v_t____), v_k____)))], (1205 ^ _164577) ^ [] : [-(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex), hAPP(hAPP(c_Power_Opower__class_Opower(tc_Complex_Ocomplex), v_w____), v_k____)), v_a____) = c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex, c_Groups_Oone__class_Oone(tc_Complex_Ocomplex)))], (1207 ^ _164577) ^ [] : [-(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex), c_RealVector_Oof__real(tc_Complex_Ocomplex, v_t____)), v_w____)), c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v_w____)))], (1209 ^ _164577) ^ [_203562, _203564, _203566] : [class_Rings_Olinordered__semidom(_203562), c_Orderings_Oord__class_Oless(_203562, c_Groups_Oone__class_Oone(_203562), _203564), -(c_Orderings_Oord__class_Oless(_203562, c_Groups_Oone__class_Oone(_203562), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_203562), _203564), hAPP(hAPP(c_Power_Opower__class_Opower(_203562), _203564), _203566))))], (1219 ^ _164577) ^ [_203927, _203929, _203931] : [class_Rings_Olinordered__semidom(_203927), c_Orderings_Oord__class_Oless(_203927, c_Groups_Oone__class_Oone(_203927), _203929), -(c_Orderings_Oord__class_Oless(_203927, hAPP(hAPP(c_Power_Opower__class_Opower(_203927), _203929), _203931), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_203927), _203929), hAPP(hAPP(c_Power_Opower__class_Opower(_203927), _203929), _203931))))], (1229 ^ _164577) ^ [] : [-(c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex, c_Groups_Oone__class_Oone(tc_Complex_Ocomplex), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex), hAPP(hAPP(c_Power_Opower__class_Opower(tc_Complex_Ocomplex), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex), c_RealVector_Oof__real(tc_Complex_Ocomplex, v_t____)), v_w____)), v_k____)), c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex, v_a____, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex), c_RealVector_Oof__real(tc_Complex_Ocomplex, v_t____)), v_w____)), hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex, v_s____), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex), c_RealVector_Oof__real(tc_Complex_Ocomplex, v_t____)), v_w____))))))) = c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex, c_RealVector_Oof__real(tc_Complex_Ocomplex, c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal, c_Groups_Oone__class_Oone(tc_RealDef_Oreal), hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal), v_t____), v_k____))), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex), hAPP(hAPP(c_Power_Opower__class_Opower(tc_Complex_Ocomplex), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex), c_RealVector_Oof__real(tc_Complex_Ocomplex, v_t____)), v_w____)), v_k____)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex), c_RealVector_Oof__real(tc_Complex_Ocomplex, v_t____)), v_w____))), hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex, v_s____), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex), c_RealVector_Oof__real(tc_Complex_Ocomplex, v_t____)), v_w____))))))], (1231 ^ _164577) ^ [] : [-(c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex, c_Groups_Oone__class_Oone(tc_Complex_Ocomplex), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex), hAPP(hAPP(c_Power_Opower__class_Opower(tc_Complex_Ocomplex), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex), c_RealVector_Oof__real(tc_Complex_Ocomplex, v_t____)), v_w____)), v_k____)), c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex, v_a____, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex), c_RealVector_Oof__real(tc_Complex_Ocomplex, v_t____)), v_w____)), hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex, v_s____), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex), c_RealVector_Oof__real(tc_Complex_Ocomplex, v_t____)), v_w____)))))) = c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex, c_RealVector_Oof__real(tc_Complex_Ocomplex, c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal, c_Groups_Oone__class_Oone(tc_RealDef_Oreal), hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal), v_t____), v_k____))), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex), hAPP(hAPP(c_Power_Opower__class_Opower(tc_Complex_Ocomplex), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex), c_RealVector_Oof__real(tc_Complex_Ocomplex, v_t____)), v_w____)), v_k____)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex), c_RealVector_Oof__real(tc_Complex_Ocomplex, v_t____)), v_w____))), hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex, v_s____), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex), c_RealVector_Oof__real(tc_Complex_Ocomplex, v_t____)), v_w____)))))], (1233 ^ _164577) ^ [] : [-(c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex, c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex, c_Groups_Oone__class_Oone(tc_Complex_Ocomplex), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex), hAPP(hAPP(c_Power_Opower__class_Opower(tc_Complex_Ocomplex), c_RealVector_Oof__real(tc_Complex_Ocomplex, v_t____)), v_k____)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex), hAPP(hAPP(c_Power_Opower__class_Opower(tc_Complex_Ocomplex), v_w____), v_k____)), v_a____))), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex), hAPP(hAPP(c_Power_Opower__class_Opower(tc_Complex_Ocomplex), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex), c_RealVector_Oof__real(tc_Complex_Ocomplex, v_t____)), v_w____)), v_k____)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex), c_RealVector_Oof__real(tc_Complex_Ocomplex, v_t____)), v_w____))), hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex, v_s____), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex), c_RealVector_Oof__real(tc_Complex_Ocomplex, v_t____)), v_w____)))) = c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex, c_RealVector_Oof__real(tc_Complex_Ocomplex, c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal, c_Groups_Oone__class_Oone(tc_RealDef_Oreal), hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal), v_t____), v_k____))), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex), hAPP(hAPP(c_Power_Opower__class_Opower(tc_Complex_Ocomplex), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex), c_RealVector_Oof__real(tc_Complex_Ocomplex, v_t____)), v_w____)), v_k____)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex), c_RealVector_Oof__real(tc_Complex_Ocomplex, v_t____)), v_w____))), hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex, v_s____), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex), c_RealVector_Oof__real(tc_Complex_Ocomplex, v_t____)), v_w____)))))], (1235 ^ _164577) ^ [_204435] : [class_RealVector_Oreal__algebra__1(_204435), -(c_RealVector_Oof__real(_204435, c_Groups_Oone__class_Oone(tc_RealDef_Oreal)) = c_Groups_Oone__class_Oone(_204435))], (1241 ^ _164577) ^ [_204633] : [class_RealVector_Oreal__normed__algebra__1(_204633), -(c_RealVector_Onorm__class_Onorm(_204633, c_Groups_Oone__class_Oone(_204633)) = c_Groups_Oone__class_Oone(tc_RealDef_Oreal))], (1247 ^ _164577) ^ [_204887, _204889, _204891, _204893, _204895] : [class_RealVector_Oreal__normed__vector(_204887), c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_RealVector_Onorm__class_Onorm(_204887, _204889), _204891), c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_RealVector_Onorm__class_Onorm(_204887, _204893), _204895), -(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_RealVector_Onorm__class_Onorm(_204887, c_Groups_Oplus__class_Oplus(_204887, _204889, _204893)), c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, _204891, _204895)))], (1261 ^ _164577) ^ [_205397, _205399, _205401, _205403, _205405] : [class_RealVector_Oreal__normed__algebra(_205397), c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_RealVector_Onorm__class_Onorm(_205397, _205399), _205401), c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_RealVector_Onorm__class_Onorm(_205397, _205403), _205405), -(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_RealVector_Onorm__class_Onorm(_205397, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_205397), _205399), _205403)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal), _205401), _205405)))], (1275 ^ _164577) ^ [] : [v_w____ = c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)], (1277 ^ _164577) ^ [] : [-(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), v_m____))], (1279 ^ _164577) ^ [] : [-(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal), v_t____), v_k____)))], (1281 ^ _164577) ^ [] : [-(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal), v_t____), v_k____), c_Groups_Oone__class_Oone(tc_RealDef_Oreal)))], (1283 ^ _164577) ^ [] : [-(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal), v_t____), c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v_w____)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal), c_Groups_Oone__class_Oone(tc_RealDef_Oreal)), c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v_w____))))], (1285 ^ _164577) ^ [] : [c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), v_t____), c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), v_k____), -(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal), v_t____), v_k____), hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal), c_Groups_Oone__class_Oone(tc_RealDef_Oreal)), v_k____)))], (1295 ^ _164577) ^ [_206312] : [c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, _206312), c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v_w____)), -(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex, v_s____), _206312)), v_m____))], (1301 ^ _164577) ^ [] : [-(c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex), hAPP(hAPP(c_Power_Opower__class_Opower(tc_Complex_Ocomplex), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex), c_RealVector_Oof__real(tc_Complex_Ocomplex, v_t____)), v_w____)), v_k____)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex), c_RealVector_Oof__real(tc_Complex_Ocomplex, v_t____)), v_w____))), hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex, v_s____), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex), c_RealVector_Oof__real(tc_Complex_Ocomplex, v_t____)), v_w____)))) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal), hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal), v_t____), v_k____)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal), v_t____), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal), hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal), c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v_w____)), c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v_k____, c_Groups_Oone__class_Oone(tc_Nat_Onat)))), c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex, v_s____), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex), c_RealVector_Oof__real(tc_Complex_Ocomplex, v_t____)), v_w____)))))))], (1303 ^ _164577) ^ [] : [c_Fundamental__Theorem__Algebra__Mirabelle_Oconstant(tc_Complex_Ocomplex, tc_Complex_Ocomplex, c_Polynomial_Opoly(tc_Complex_Ocomplex, v_pa____))], (1305 ^ _164577) ^ [] : [-(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal, c_Groups_Oone__class_Oone(tc_RealDef_Oreal), hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal), v_t____), v_k____))), c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex), hAPP(hAPP(c_Power_Opower__class_Opower(tc_Complex_Ocomplex), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex), c_RealVector_Oof__real(tc_Complex_Ocomplex, v_t____)), v_w____)), v_k____)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex), c_RealVector_Oof__real(tc_Complex_Ocomplex, v_t____)), v_w____))), hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex, v_s____), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex), c_RealVector_Oof__real(tc_Complex_Ocomplex, v_t____)), v_w____))))), c_Groups_Oone__class_Oone(tc_RealDef_Oreal)))], (1307 ^ _164577) ^ [] : [-(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex, c_RealVector_Oof__real(tc_Complex_Ocomplex, c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal, c_Groups_Oone__class_Oone(tc_RealDef_Oreal), hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal), v_t____), v_k____))), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex), hAPP(hAPP(c_Power_Opower__class_Opower(tc_Complex_Ocomplex), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex), c_RealVector_Oof__real(tc_Complex_Ocomplex, v_t____)), v_w____)), v_k____)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex), c_RealVector_Oof__real(tc_Complex_Ocomplex, v_t____)), v_w____))), hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex, v_s____), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex), c_RealVector_Oof__real(tc_Complex_Ocomplex, v_t____)), v_w____))))), c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, c_RealVector_Oof__real(tc_Complex_Ocomplex, c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal, c_Groups_Oone__class_Oone(tc_RealDef_Oreal), hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal), v_t____), v_k____)))), c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex), hAPP(hAPP(c_Power_Opower__class_Opower(tc_Complex_Ocomplex), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex), c_RealVector_Oof__real(tc_Complex_Ocomplex, v_t____)), v_w____)), v_k____)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex), c_RealVector_Oof__real(tc_Complex_Ocomplex, v_t____)), v_w____))), hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex, v_s____), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex), c_RealVector_Oof__real(tc_Complex_Ocomplex, v_t____)), v_w____)))))))], (1309 ^ _164577) ^ [] : [-(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex, c_Groups_Oone__class_Oone(tc_Complex_Ocomplex), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex), hAPP(hAPP(c_Power_Opower__class_Opower(tc_Complex_Ocomplex), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex), c_RealVector_Oof__real(tc_Complex_Ocomplex, v_t____)), v_w____)), v_k____)), c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex, v_a____, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex), c_RealVector_Oof__real(tc_Complex_Ocomplex, v_t____)), v_w____)), hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex, v_s____), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex), c_RealVector_Oof__real(tc_Complex_Ocomplex, v_t____)), v_w____))))))), c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal, c_Groups_Oone__class_Oone(tc_RealDef_Oreal), hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal), v_t____), v_k____))), c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex), hAPP(hAPP(c_Power_Opower__class_Opower(tc_Complex_Ocomplex), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex), c_RealVector_Oof__real(tc_Complex_Ocomplex, v_t____)), v_w____)), v_k____)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex), c_RealVector_Oof__real(tc_Complex_Ocomplex, v_t____)), v_w____))), hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex, v_s____), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex), c_RealVector_Oof__real(tc_Complex_Ocomplex, v_t____)), v_w____)))))))], (1311 ^ _164577) ^ [_206802, _206804] : [class_RealVector_Oreal__normed__vector(_206802), -(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), c_RealVector_Onorm__class_Onorm(_206802, _206804)))], (1317 ^ _164577) ^ [_207004] : [class_RealVector_Oreal__algebra__1(_207004), -(c_RealVector_Oof__real(_207004, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) = c_Groups_Ozero__class_Ozero(_207004))], (1323 ^ _164577) ^ [_207202] : [-(c_RealVector_Oof__real(_207202, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) = c_Groups_Ozero__class_Ozero(_207202)), class_RealVector_Oreal__algebra__1(_207202), class_RealVector_Oreal__normed__vector(_207202)], (1333 ^ _164577) ^ [_207483] : [class_RealVector_Oreal__normed__vector(_207483), -(c_RealVector_Onorm__class_Onorm(_207483, c_Groups_Ozero__class_Ozero(_207483)) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))], (1339 ^ _164577) ^ [_207695, _207697] : [class_RealVector_Oreal__algebra__1(_207695), -(c_RealVector_Oof__real(_207695, c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, _207697)) = c_Groups_Ouminus__class_Ouminus(_207695, c_RealVector_Oof__real(_207695, _207697)))], (1345 ^ _164577) ^ [_207927, _207929] : [-(c_RealVector_Oof__real(_207927, c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, _207929)) = c_Groups_Ouminus__class_Ouminus(_207927, c_RealVector_Oof__real(_207927, _207929))), class_RealVector_Oreal__algebra__1(_207927), class_RealVector_Oreal__normed__vector(_207927)], (1355 ^ _164577) ^ [_208260, _208262, _208264] : [class_RealVector_Oreal__algebra__1(_208260), -(c_RealVector_Oof__real(_208260, c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal, _208262, _208264)) = c_Groups_Ominus__class_Ominus(_208260, c_RealVector_Oof__real(_208260, _208262), c_RealVector_Oof__real(_208260, _208264)))], (1361 ^ _164577) ^ [_208522, _208524, _208526] : [-(c_RealVector_Oof__real(_208522, c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal, _208524, _208526)) = c_Groups_Ominus__class_Ominus(_208522, c_RealVector_Oof__real(_208522, _208524), c_RealVector_Oof__real(_208522, _208526))), class_RealVector_Oreal__algebra__1(_208522), class_RealVector_Oreal__normed__vector(_208522)], (1371 ^ _164577) ^ [_208875, _208877, _208879] : [class_RealVector_Oreal__normed__vector(_208875), -(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_RealVector_Onorm__class_Onorm(_208875, c_Groups_Ominus__class_Ominus(_208875, _208877, _208879)), c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, c_RealVector_Onorm__class_Onorm(_208875, _208877), c_RealVector_Onorm__class_Onorm(_208875, _208879))))], (1387 ^ _164577) ^ [_209422, _209424] : [1388 ^ _164577 : [(1389 ^ _164577) ^ [] : [c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _209422)], (1391 ^ _164577) ^ [] : [_209424 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)]], -(c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), _209422), _209424)))], (1377 ^ _164577) ^ [_209154, _209156] : [c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), _209154), _209156)), -(c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _209154)), -(_209156 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat))], (1395 ^ _164577) ^ [_209724, _209726] : [class_RealVector_Oreal__algebra__1(_209724), 1398 ^ _164577 : [(1399 ^ _164577) ^ [] : [c_RealVector_Oof__real(_209724, _209726) = c_Groups_Ozero__class_Ozero(_209724), -(_209726 = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))], (1405 ^ _164577) ^ [] : [_209726 = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), -(c_RealVector_Oof__real(_209724, _209726) = c_Groups_Ozero__class_Ozero(_209724))]]], (1411 ^ _164577) ^ [_210197, _210199] : [class_RealVector_Oreal__normed__vector(_210197), 1414 ^ _164577 : [(1415 ^ _164577) ^ [] : [c_RealVector_Onorm__class_Onorm(_210197, _210199) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), -(_210199 = c_Groups_Ozero__class_Ozero(_210197))], (1421 ^ _164577) ^ [] : [_210199 = c_Groups_Ozero__class_Ozero(_210197), -(c_RealVector_Onorm__class_Onorm(_210197, _210199) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))]]], (1427 ^ _164577) ^ [_210670, _210672] : [class_RealVector_Oreal__normed__vector(_210670), 1430 ^ _164577 : [(1431 ^ _164577) ^ [] : [c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_RealVector_Onorm__class_Onorm(_210670, _210672), c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)), -(_210672 = c_Groups_Ozero__class_Ozero(_210670))], (1437 ^ _164577) ^ [] : [_210672 = c_Groups_Ozero__class_Ozero(_210670), -(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_RealVector_Onorm__class_Onorm(_210670, _210672), c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)))]]], (1443 ^ _164577) ^ [_211160, _211162, _211164] : [class_RealVector_Oreal__normed__vector(_211160), -(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal, c_RealVector_Onorm__class_Onorm(_211160, _211162), c_RealVector_Onorm__class_Onorm(_211160, _211164)), c_RealVector_Onorm__class_Onorm(_211160, c_Groups_Ominus__class_Ominus(_211160, _211162, _211164))))], (1449 ^ _164577) ^ [_211424, _211426, _211428] : [class_Power_Opower(_211424), class_Rings_Omult__zero(_211424), class_Rings_Ono__zero__divisors(_211424), class_Rings_Ozero__neq__one(_211424), 1464 ^ _164577 : [(1465 ^ _164577) ^ [] : [hAPP(hAPP(c_Power_Opower__class_Opower(_211424), _211426), _211428) = c_Groups_Ozero__class_Ozero(_211424), 1468 ^ _164577 : [(1469 ^ _164577) ^ [] : [-(_211426 = c_Groups_Ozero__class_Ozero(_211424))], (1471 ^ _164577) ^ [] : [_211428 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)]]], (1473 ^ _164577) ^ [] : [-(hAPP(hAPP(c_Power_Opower__class_Opower(_211424), _211426), _211428) = c_Groups_Ozero__class_Ozero(_211424)), _211426 = c_Groups_Ozero__class_Ozero(_211424), -(_211428 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat))]]], (1483 ^ _164577) ^ [_212393, _212395, _212397] : [class_Rings_Olinordered__semidom(_212393), c_Orderings_Oord__class_Oless__eq(_212393, c_Groups_Ozero__class_Ozero(_212393), _212395), -(c_Orderings_Oord__class_Oless__eq(_212393, c_Groups_Ozero__class_Ozero(_212393), hAPP(hAPP(c_Power_Opower__class_Opower(_212393), _212395), _212397)))], (1493 ^ _164577) ^ [_212742, _212744, _212746] : [c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _212742), c_Orderings_Oord__class_Oless(tc_Nat_Onat, hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), _212742), _212744), hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), _212742), _212746)), -(c_Orderings_Oord__class_Oless(tc_Nat_Onat, _212744, _212746))], (1503 ^ _164577) ^ [_213109, _213111, _213113, _213115] : [class_Rings_Olinordered__semidom(_213109), c_Orderings_Oord__class_Oless__eq(_213109, _213111, _213113), c_Orderings_Oord__class_Oless__eq(_213109, c_Groups_Ozero__class_Ozero(_213109), _213111), -(c_Orderings_Oord__class_Oless__eq(_213109, hAPP(hAPP(c_Power_Opower__class_Opower(_213109), _213111), _213115), hAPP(hAPP(c_Power_Opower__class_Opower(_213109), _213113), _213115)))], (1517 ^ _164577) ^ [_213593, _213595, _213597, _213599] : [class_Rings_Olinordered__semidom(_213593), hAPP(hAPP(c_Power_Opower__class_Opower(_213593), _213595), _213597) = hAPP(hAPP(c_Power_Opower__class_Opower(_213593), _213599), _213597), c_Orderings_Oord__class_Oless__eq(_213593, c_Groups_Ozero__class_Ozero(_213593), _213595), c_Orderings_Oord__class_Oless__eq(_213593, c_Groups_Ozero__class_Ozero(_213593), _213599), c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _213597), -(_213595 = _213599)], (1539 ^ _164577) ^ [_214275, _214277, _214279, _214281] : [class_Rings_Olinordered__semidom(_214275), c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _214277, _214279), c_Orderings_Oord__class_Oless__eq(_214275, c_Groups_Ozero__class_Ozero(_214275), _214281), c_Orderings_Oord__class_Oless__eq(_214275, _214281, c_Groups_Oone__class_Oone(_214275)), -(c_Orderings_Oord__class_Oless__eq(_214275, hAPP(hAPP(c_Power_Opower__class_Opower(_214275), _214281), _214279), hAPP(hAPP(c_Power_Opower__class_Opower(_214275), _214281), _214277)))], (1557 ^ _164577) ^ [_214862, _214864, _214866, _214868] : [class_Rings_Olinordered__semidom(_214862), c_Orderings_Oord__class_Oless(_214862, _214864, _214866), c_Orderings_Oord__class_Oless__eq(_214862, c_Groups_Ozero__class_Ozero(_214862), _214864), c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _214868), -(c_Orderings_Oord__class_Oless(_214862, hAPP(hAPP(c_Power_Opower__class_Opower(_214862), _214864), _214868), hAPP(hAPP(c_Power_Opower__class_Opower(_214862), _214866), _214868)))], (1575 ^ _164577) ^ [_215445, _215447, _215449, _215451] : [class_RealVector_Oreal__normed__algebra(_215445), -(hAPP(hAPP(c_Groups_Otimes__class_Otimes(_215445), c_Groups_Ominus__class_Ominus(_215445, _215447, _215449)), _215451) = c_Groups_Ominus__class_Ominus(_215445, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_215445), _215447), _215451), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_215445), _215449), _215451)))], (1581 ^ _164577) ^ [_215757, _215759, _215761, _215763] : [class_RealVector_Oreal__normed__algebra(_215757), -(hAPP(hAPP(c_Groups_Otimes__class_Otimes(_215757), c_Groups_Ominus__class_Ominus(_215757, _215759, _215761)), _215763) = c_Groups_Ominus__class_Ominus(_215757, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_215757), _215759), _215763), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_215757), _215761), _215763)))], (1587 ^ _164577) ^ [_216069, _216071, _216073, _216075] : [class_RealVector_Oreal__normed__algebra(_216069), -(hAPP(hAPP(c_Groups_Otimes__class_Otimes(_216069), _216071), c_Groups_Ominus__class_Ominus(_216069, _216073, _216075)) = c_Groups_Ominus__class_Ominus(_216069, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_216069), _216071), _216073), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_216069), _216071), _216075)))], (1593 ^ _164577) ^ [_216381, _216383, _216385, _216387] : [class_RealVector_Oreal__normed__algebra(_216381), -(hAPP(hAPP(c_Groups_Otimes__class_Otimes(_216381), _216383), c_Groups_Ominus__class_Ominus(_216381, _216385, _216387)) = c_Groups_Ominus__class_Ominus(_216381, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_216381), _216383), _216385), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_216381), _216383), _216387)))], (1599 ^ _164577) ^ [_216679, _216681, _216683] : [class_RealVector_Oreal__normed__algebra(_216679), -(hAPP(hAPP(c_Groups_Otimes__class_Otimes(_216679), c_Groups_Ouminus__class_Ouminus(_216679, _216681)), _216683) = c_Groups_Ouminus__class_Ouminus(_216679, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_216679), _216681), _216683)))], (1605 ^ _164577) ^ [_216951, _216953, _216955] : [class_RealVector_Oreal__normed__algebra(_216951), -(hAPP(hAPP(c_Groups_Otimes__class_Otimes(_216951), c_Groups_Ouminus__class_Ouminus(_216951, _216953)), _216955) = c_Groups_Ouminus__class_Ouminus(_216951, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_216951), _216953), _216955)))], (1611 ^ _164577) ^ [_217223, _217225, _217227] : [class_RealVector_Oreal__normed__algebra(_217223), -(hAPP(hAPP(c_Groups_Otimes__class_Otimes(_217223), _217225), c_Groups_Ouminus__class_Ouminus(_217223, _217227)) = c_Groups_Ouminus__class_Ouminus(_217223, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_217223), _217225), _217227)))], (1617 ^ _164577) ^ [_217495, _217497, _217499] : [class_RealVector_Oreal__normed__algebra(_217495), -(hAPP(hAPP(c_Groups_Otimes__class_Otimes(_217495), _217497), c_Groups_Ouminus__class_Ouminus(_217495, _217499)) = c_Groups_Ouminus__class_Ouminus(_217495, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_217495), _217497), _217499)))], (1623 ^ _164577) ^ [_217767, _217769, _217771] : [class_RealVector_Oreal__normed__vector(_217767), -(c_RealVector_Onorm__class_Onorm(_217767, c_Groups_Ominus__class_Ominus(_217767, _217769, _217771)) = c_RealVector_Onorm__class_Onorm(_217767, c_Groups_Ominus__class_Ominus(_217767, _217771, _217769)))], (1629 ^ _164577) ^ [_218009, _218011] : [class_RealVector_Oreal__normed__vector(_218009), -(c_RealVector_Onorm__class_Onorm(_218009, c_Groups_Ouminus__class_Ouminus(_218009, _218011)) = c_RealVector_Onorm__class_Onorm(_218009, _218011))], (1635 ^ _164577) ^ [_218263, _218265, _218267, _218269] : [class_Groups_Omonoid__mult(_218263), -(hAPP(hAPP(c_Power_Opower__class_Opower(_218263), _218265), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _218267), _218269)) = hAPP(hAPP(c_Power_Opower__class_Opower(_218263), hAPP(hAPP(c_Power_Opower__class_Opower(_218263), _218265), _218267)), _218269))], (1641 ^ _164577) ^ [_218543, _218545] : [class_RealVector_Oreal__normed__algebra(_218543), -(hAPP(hAPP(c_Groups_Otimes__class_Otimes(_218543), _218545), c_Groups_Ozero__class_Ozero(_218543)) = c_Groups_Ozero__class_Ozero(_218543))], (1647 ^ _164577) ^ [_218775, _218777] : [class_RealVector_Oreal__normed__algebra(_218775), -(hAPP(hAPP(c_Groups_Otimes__class_Otimes(_218775), _218777), c_Groups_Ozero__class_Ozero(_218775)) = c_Groups_Ozero__class_Ozero(_218775))], (1653 ^ _164577) ^ [_219007, _219009] : [class_RealVector_Oreal__normed__algebra(_219007), -(hAPP(hAPP(c_Groups_Otimes__class_Otimes(_219007), c_Groups_Ozero__class_Ozero(_219007)), _219009) = c_Groups_Ozero__class_Ozero(_219007))], (1659 ^ _164577) ^ [_219239, _219241] : [class_RealVector_Oreal__normed__algebra(_219239), -(hAPP(hAPP(c_Groups_Otimes__class_Otimes(_219239), c_Groups_Ozero__class_Ozero(_219239)), _219241) = c_Groups_Ozero__class_Ozero(_219239))], (1665 ^ _164577) ^ [_219471, _219473] : [class_Groups_Omonoid__mult(_219471), -(hAPP(hAPP(c_Power_Opower__class_Opower(_219471), _219473), c_Groups_Oone__class_Oone(tc_Nat_Onat)) = _219473)], (1671 ^ _164577) ^ [_219709, _219711, _219713] : [class_Rings_Oring__1__no__zero__divisors(_219709), -(_219711 = c_Groups_Ozero__class_Ozero(_219709)), hAPP(hAPP(c_Power_Opower__class_Opower(_219709), _219711), _219713) = c_Groups_Ozero__class_Ozero(_219709)], (1681 ^ _164577) ^ [_220086, _220088, _220090, _220092, _220094] : [class_RealVector_Oreal__normed__vector(_220086), -(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_RealVector_Onorm__class_Onorm(_220086, c_Groups_Ominus__class_Ominus(_220086, c_Groups_Oplus__class_Oplus(_220086, _220088, _220090), c_Groups_Oplus__class_Oplus(_220086, _220092, _220094))), c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, c_RealVector_Onorm__class_Onorm(_220086, c_Groups_Ominus__class_Ominus(_220086, _220088, _220092)), c_RealVector_Onorm__class_Onorm(_220086, c_Groups_Ominus__class_Ominus(_220086, _220090, _220094)))))], (1687 ^ _164577) ^ [_220394, _220396, _220398] : [class_RealVector_Oreal__normed__vector(_220394), -(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal, c_RealVector_Onorm__class_Onorm(_220394, _220396), c_RealVector_Onorm__class_Onorm(_220394, _220398)), c_RealVector_Onorm__class_Onorm(_220394, c_Groups_Oplus__class_Oplus(_220394, _220396, _220398))))], (1693 ^ _164577) ^ [_220672, _220674, _220676, _220678] : [class_Rings_Olinordered__semidom(_220672), c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _220674, _220676), c_Orderings_Oord__class_Oless__eq(_220672, c_Groups_Oone__class_Oone(_220672), _220678), -(c_Orderings_Oord__class_Oless__eq(_220672, hAPP(hAPP(c_Power_Opower__class_Opower(_220672), _220678), _220674), hAPP(hAPP(c_Power_Opower__class_Opower(_220672), _220678), _220676)))], (1707 ^ _164577) ^ [_221156, _221158, _221160, _221162] : [class_Rings_Olinordered__semidom(_221156), c_Orderings_Oord__class_Oless(_221156, hAPP(hAPP(c_Power_Opower__class_Opower(_221156), _221158), _221160), hAPP(hAPP(c_Power_Opower__class_Opower(_221156), _221162), _221160)), c_Orderings_Oord__class_Oless__eq(_221156, c_Groups_Ozero__class_Ozero(_221156), _221162), -(c_Orderings_Oord__class_Oless(_221156, _221158, _221162))], (1721 ^ _164577) ^ [_221612, _221614] : [class_Power_Opower(_221612), class_Rings_Osemiring__0(_221612), 1728 ^ _164577 : [(1729 ^ _164577) ^ [] : [_221614 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat), -(hAPP(hAPP(c_Power_Opower__class_Opower(_221612), c_Groups_Ozero__class_Ozero(_221612)), _221614) = c_Groups_Oone__class_Oone(_221612))], (1735 ^ _164577) ^ [] : [-(_221614 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), -(hAPP(hAPP(c_Power_Opower__class_Opower(_221612), c_Groups_Ozero__class_Ozero(_221612)), _221614) = c_Groups_Ozero__class_Ozero(_221612))]]], (1741 ^ _164577) ^ [_222213, _222215] : [class_RealVector_Oreal__normed__vector(_222213), 1744 ^ _164577 : [(1745 ^ _164577) ^ [] : [c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), c_RealVector_Onorm__class_Onorm(_222213, _222215)), _222215 = c_Groups_Ozero__class_Ozero(_222213)], (1751 ^ _164577) ^ [] : [-(_222215 = c_Groups_Ozero__class_Ozero(_222213)), -(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), c_RealVector_Onorm__class_Onorm(_222213, _222215)))]]], (1757 ^ _164577) ^ [_222734, _222736, _222738] : [c_Fundamental__Theorem__Algebra__Mirabelle_Oconstant(_222734, _222736, _222738), 1760 ^ _164577 : [(1761 ^ _164577) ^ [_222881, _222883] : [-(hAPP(_222738, _222883) = hAPP(_222738, _222881))]]], (1763 ^ _164577) ^ [_222959, _222961, _222963] : [hAPP(_222963, 1764 ^ [_222959, _222961, _222963]) = hAPP(_222963, 1765 ^ [_222959, _222961, _222963]), -(c_Fundamental__Theorem__Algebra__Mirabelle_Oconstant(_222959, _222961, _222963))], (1771 ^ _164577) ^ [_223371, _223373, _223375, _223377] : [class_Rings_Olinordered__semidom(_223371), c_Orderings_Oord__class_Oless(_223371, c_Groups_Oone__class_Oone(_223371), _223373), c_Orderings_Oord__class_Oless__eq(_223371, hAPP(hAPP(c_Power_Opower__class_Opower(_223371), _223373), _223375), hAPP(hAPP(c_Power_Opower__class_Opower(_223371), _223373), _223377)), -(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _223375, _223377))], (1785 ^ _164577) ^ [_223855, _223857, _223859, _223861] : [class_Rings_Olinordered__semidom(_223855), c_Orderings_Oord__class_Oless(_223855, c_Groups_Oone__class_Oone(_223855), _223857), 1792 ^ _164577 : [(1793 ^ _164577) ^ [] : [c_Orderings_Oord__class_Oless__eq(_223855, hAPP(hAPP(c_Power_Opower__class_Opower(_223855), _223857), _223859), hAPP(hAPP(c_Power_Opower__class_Opower(_223855), _223857), _223861)), -(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _223859, _223861))], (1799 ^ _164577) ^ [] : [c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _223859, _223861), -(c_Orderings_Oord__class_Oless__eq(_223855, hAPP(hAPP(c_Power_Opower__class_Opower(_223855), _223857), _223859), hAPP(hAPP(c_Power_Opower__class_Opower(_223855), _223857), _223861)))]]], (1805 ^ _164577) ^ [_224487, _224489] : [-(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, _224487), c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex, _224487, _224489)), c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, _224489))))], (1807 ^ _164577) ^ [_224656, _224658, _224660, _224662, _224664] : [class_RealVector_Oreal__normed__algebra(_224656), -(c_Groups_Ominus__class_Ominus(_224656, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_224656), _224658), _224660), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_224656), _224662), _224664)) = c_Groups_Oplus__class_Oplus(_224656, c_Groups_Oplus__class_Oplus(_224656, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_224656), c_Groups_Ominus__class_Ominus(_224656, _224658, _224662)), c_Groups_Ominus__class_Ominus(_224656, _224660, _224664)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_224656), c_Groups_Ominus__class_Ominus(_224656, _224658, _224662)), _224664)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_224656), _224662), c_Groups_Ominus__class_Ominus(_224656, _224660, _224664))))], (1813 ^ _164577) ^ [_225046, _225048, _225050, _225052] : [class_Groups_Omonoid__mult(_225046), -(hAPP(hAPP(c_Power_Opower__class_Opower(_225046), _225048), c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _225050, _225052)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_225046), hAPP(hAPP(c_Power_Opower__class_Opower(_225046), _225048), _225050)), hAPP(hAPP(c_Power_Opower__class_Opower(_225046), _225048), _225052)))], (1819 ^ _164577) ^ [_225352, _225354, _225356] : [class_Rings_Olinordered__semidom(_225352), c_Orderings_Oord__class_Oless__eq(_225352, c_Groups_Oone__class_Oone(_225352), _225354), -(c_Orderings_Oord__class_Oless__eq(_225352, c_Groups_Oone__class_Oone(_225352), hAPP(hAPP(c_Power_Opower__class_Opower(_225352), _225354), _225356)))], (1829 ^ _164577) ^ [_225701, _225703, _225705] : [class_RealVector_Oreal__normed__algebra(_225701), -(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_RealVector_Onorm__class_Onorm(_225701, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_225701), _225703), _225705)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal), c_RealVector_Onorm__class_Onorm(_225701, _225703)), c_RealVector_Onorm__class_Onorm(_225701, _225705))))], (1835 ^ _164577) ^ [_225977, _225979, _225981] : [class_RealVector_Oreal__normed__vector(_225977), -(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_RealVector_Onorm__class_Onorm(_225977, c_Groups_Oplus__class_Oplus(_225977, _225979, _225981)), c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, c_RealVector_Onorm__class_Onorm(_225977, _225979), c_RealVector_Onorm__class_Onorm(_225977, _225981))))], (1841 ^ _164577) ^ [_226241, _226243, _226245] : [class_Rings_Olinordered__semidom(_226241), c_Orderings_Oord__class_Oless(_226241, c_Groups_Ozero__class_Ozero(_226241), _226243), -(c_Orderings_Oord__class_Oless(_226241, c_Groups_Ozero__class_Ozero(_226241), hAPP(hAPP(c_Power_Opower__class_Opower(_226241), _226243), _226245)))], (1851 ^ _164577) ^ [_226590, _226592, _226594] : [class_RealVector_Oreal__normed__algebra__1(_226590), -(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_RealVector_Onorm__class_Onorm(_226590, hAPP(hAPP(c_Power_Opower__class_Opower(_226590), _226592), _226594)), hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal), c_RealVector_Onorm__class_Onorm(_226590, _226592)), _226594)))], (1857 ^ _164577) ^ [_226846, _226848] : [class_Power_Opower(_226846), -(hAPP(hAPP(c_Power_Opower__class_Opower(_226846), _226848), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Oone__class_Oone(_226846))], (1863 ^ _164577) ^ [_227074, _227076] : [class_RealVector_Oreal__normed__vector(_227074), c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_RealVector_Onorm__class_Onorm(_227074, _227076), c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))], (1869 ^ _164577) ^ [_227305, _227307, _227309] : [class_Rings_Oring__1(_227305), -(hAPP(hAPP(c_Power_Opower__class_Opower(_227305), c_Groups_Ouminus__class_Ouminus(_227305, _227307)), _227309) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_227305), hAPP(hAPP(c_Power_Opower__class_Opower(_227305), c_Groups_Ouminus__class_Ouminus(_227305, c_Groups_Oone__class_Oone(_227305))), _227309)), hAPP(hAPP(c_Power_Opower__class_Opower(_227305), _227307), _227309)))], (1875 ^ _164577) ^ [_227627, _227629, _227631, _227633] : [class_Rings_Olinordered__semidom(_227627), c_Orderings_Oord__class_Oless(tc_Nat_Onat, _227629, _227631), c_Orderings_Oord__class_Oless(_227627, c_Groups_Ozero__class_Ozero(_227627), _227633), c_Orderings_Oord__class_Oless(_227627, _227633, c_Groups_Oone__class_Oone(_227627)), -(c_Orderings_Oord__class_Oless(_227627, hAPP(hAPP(c_Power_Opower__class_Opower(_227627), _227633), _227631), hAPP(hAPP(c_Power_Opower__class_Opower(_227627), _227633), _227629)))], (1893 ^ _164577) ^ [_228200, _228202, _228204] : [class_Rings_Olinordered__semidom(_228200), c_Orderings_Oord__class_Oless(_228200, c_Groups_Oone__class_Oone(_228200), _228202), c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _228204), -(c_Orderings_Oord__class_Oless(_228200, c_Groups_Oone__class_Oone(_228200), hAPP(hAPP(c_Power_Opower__class_Opower(_228200), _228202), _228204)))], (1907 ^ _164577) ^ [_228615, _228617] : [-(hAPP(hAPP(c_Power_Opower__class_Opower(tc_Complex_Ocomplex), c_RealVector_Oof__real(tc_Complex_Ocomplex, _228615)), _228617) = c_RealVector_Oof__real(tc_Complex_Ocomplex, hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal), _228615), _228617)))], (1909 ^ _164577) ^ [_228756, _228758, _228760] : [class_Rings_Olinordered__semidom(_228756), c_Orderings_Oord__class_Oless(_228756, c_Groups_Ozero__class_Ozero(_228756), _228758), c_Orderings_Oord__class_Oless(_228756, _228758, c_Groups_Oone__class_Oone(_228756)), -(c_Orderings_Oord__class_Oless(_228756, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_228756), _228758), hAPP(hAPP(c_Power_Opower__class_Opower(_228756), _228758), _228760)), hAPP(hAPP(c_Power_Opower__class_Opower(_228756), _228758), _228760)))], (1923 ^ _164577) ^ [_229232, _229234, _229236] : [class_RealVector_Oreal__algebra__1(_229232), 1926 ^ _164577 : [(1927 ^ _164577) ^ [] : [c_RealVector_Oof__real(_229232, _229234) = c_RealVector_Oof__real(_229232, _229236), -(_229234 = _229236)], (1933 ^ _164577) ^ [] : [_229234 = _229236, -(c_RealVector_Oof__real(_229232, _229234) = c_RealVector_Oof__real(_229232, _229236))]]], (1939 ^ _164577) ^ [_229752, _229754, _229756, _229758] : [class_RealVector_Oreal__normed__algebra(_229752), -(hAPP(hAPP(c_Groups_Otimes__class_Otimes(_229752), c_Groups_Oplus__class_Oplus(_229752, _229754, _229756)), _229758) = c_Groups_Oplus__class_Oplus(_229752, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_229752), _229754), _229758), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_229752), _229756), _229758)))], (1945 ^ _164577) ^ [_230064, _230066, _230068, _230070] : [class_RealVector_Oreal__normed__algebra(_230064), -(hAPP(hAPP(c_Groups_Otimes__class_Otimes(_230064), c_Groups_Oplus__class_Oplus(_230064, _230066, _230068)), _230070) = c_Groups_Oplus__class_Oplus(_230064, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_230064), _230066), _230070), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_230064), _230068), _230070)))], (1951 ^ _164577) ^ [_230376, _230378, _230380, _230382] : [class_RealVector_Oreal__normed__algebra(_230376), -(hAPP(hAPP(c_Groups_Otimes__class_Otimes(_230376), _230378), c_Groups_Oplus__class_Oplus(_230376, _230380, _230382)) = c_Groups_Oplus__class_Oplus(_230376, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_230376), _230378), _230380), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_230376), _230378), _230382)))], (1957 ^ _164577) ^ [_230688, _230690, _230692, _230694] : [class_RealVector_Oreal__normed__algebra(_230688), -(hAPP(hAPP(c_Groups_Otimes__class_Otimes(_230688), _230690), c_Groups_Oplus__class_Oplus(_230688, _230692, _230694)) = c_Groups_Oplus__class_Oplus(_230688, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_230688), _230690), _230692), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_230688), _230690), _230694)))], (1963 ^ _164577) ^ [_231000, _231002, _231004, _231006] : [class_Groups_Ocomm__monoid__mult(_231000), -(hAPP(hAPP(c_Power_Opower__class_Opower(_231000), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_231000), _231002), _231004)), _231006) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_231000), hAPP(hAPP(c_Power_Opower__class_Opower(_231000), _231002), _231006)), hAPP(hAPP(c_Power_Opower__class_Opower(_231000), _231004), _231006)))], (1969 ^ _164577) ^ [_231314, _231316, _231318] : [class_Groups_Omonoid__mult(_231314), -(hAPP(hAPP(c_Groups_Otimes__class_Otimes(_231314), hAPP(hAPP(c_Power_Opower__class_Opower(_231314), _231316), _231318)), _231316) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_231314), _231316), hAPP(hAPP(c_Power_Opower__class_Opower(_231314), _231316), _231318)))], (1975 ^ _164577) ^ [_231592, _231594] : [class_Groups_Omonoid__mult(_231592), -(hAPP(hAPP(c_Power_Opower__class_Opower(_231592), c_Groups_Oone__class_Oone(_231592)), _231594) = c_Groups_Oone__class_Oone(_231592))], (1981 ^ _164577) ^ [_231838, _231840, _231842] : [class_RealVector_Oreal__normed__div__algebra(_231838), -(c_RealVector_Onorm__class_Onorm(_231838, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_231838), _231840), _231842)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal), c_RealVector_Onorm__class_Onorm(_231838, _231840)), c_RealVector_Onorm__class_Onorm(_231838, _231842)))], (1987 ^ _164577) ^ [_232112, _232114, _232116] : [class_RealVector_Oreal__normed__div__algebra(_232112), -(c_RealVector_Onorm__class_Onorm(_232112, hAPP(hAPP(c_Power_Opower__class_Opower(_232112), _232114), _232116)) = hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal), c_RealVector_Onorm__class_Onorm(_232112, _232114)), _232116))], (1993 ^ _164577) ^ [_232380, _232382, _232384] : [class_RealVector_Oreal__algebra__1(_232380), -(c_RealVector_Oof__real(_232380, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal), _232382), _232384)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_232380), c_RealVector_Oof__real(_232380, _232382)), c_RealVector_Oof__real(_232380, _232384)))], (1999 ^ _164577) ^ [_232654, _232656, _232658] : [-(c_RealVector_Oof__real(_232654, c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, _232656, _232658)) = c_Groups_Oplus__class_Oplus(_232654, c_RealVector_Oof__real(_232654, _232656), c_RealVector_Oof__real(_232654, _232658))), class_RealVector_Oreal__algebra__1(_232654), class_RealVector_Oreal__normed__vector(_232654)], (2009 ^ _164577) ^ [_233007, _233009, _233011] : [class_RealVector_Oreal__algebra__1(_233007), -(c_RealVector_Oof__real(_233007, c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, _233009, _233011)) = c_Groups_Oplus__class_Oplus(_233007, c_RealVector_Oof__real(_233007, _233009), c_RealVector_Oof__real(_233007, _233011)))], (2015 ^ _164577) ^ [_233269, _233271, _233273] : [class_RealVector_Oreal__algebra__1(_233269), -(c_RealVector_Oof__real(_233269, hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal), _233271), _233273)) = hAPP(hAPP(c_Power_Opower__class_Opower(_233269), c_RealVector_Oof__real(_233269, _233271)), _233273))], (2021 ^ _164577) ^ [_233551, _233553, _233555, _233557] : [class_Rings_Olinordered__semidom(_233551), c_Orderings_Oord__class_Oless(tc_Nat_Onat, _233553, _233555), c_Orderings_Oord__class_Oless(_233551, c_Groups_Oone__class_Oone(_233551), _233557), -(c_Orderings_Oord__class_Oless(_233551, hAPP(hAPP(c_Power_Opower__class_Opower(_233551), _233557), _233553), hAPP(hAPP(c_Power_Opower__class_Opower(_233551), _233557), _233555)))], (2035 ^ _164577) ^ [_234035, _234037, _234039, _234041] : [class_Rings_Olinordered__semidom(_234035), c_Orderings_Oord__class_Oless(_234035, c_Groups_Oone__class_Oone(_234035), _234037), c_Orderings_Oord__class_Oless(_234035, hAPP(hAPP(c_Power_Opower__class_Opower(_234035), _234037), _234039), hAPP(hAPP(c_Power_Opower__class_Opower(_234035), _234037), _234041)), -(c_Orderings_Oord__class_Oless(tc_Nat_Onat, _234039, _234041))], (2049 ^ _164577) ^ [_234519, _234521, _234523, _234525] : [class_Rings_Olinordered__semidom(_234519), c_Orderings_Oord__class_Oless(_234519, c_Groups_Oone__class_Oone(_234519), _234521), 2056 ^ _164577 : [(2057 ^ _164577) ^ [] : [c_Orderings_Oord__class_Oless(_234519, hAPP(hAPP(c_Power_Opower__class_Opower(_234519), _234521), _234523), hAPP(hAPP(c_Power_Opower__class_Opower(_234519), _234521), _234525)), -(c_Orderings_Oord__class_Oless(tc_Nat_Onat, _234523, _234525))], (2063 ^ _164577) ^ [] : [c_Orderings_Oord__class_Oless(tc_Nat_Onat, _234523, _234525), -(c_Orderings_Oord__class_Oless(_234519, hAPP(hAPP(c_Power_Opower__class_Opower(_234519), _234521), _234523), hAPP(hAPP(c_Power_Opower__class_Opower(_234519), _234521), _234525)))]]], (2069 ^ _164577) ^ [_235194, _235196, _235198, _235200] : [class_Rings_Olinordered__semidom(_235194), c_Orderings_Oord__class_Oless(_235194, c_Groups_Oone__class_Oone(_235194), _235196), 2076 ^ _164577 : [(2077 ^ _164577) ^ [] : [hAPP(hAPP(c_Power_Opower__class_Opower(_235194), _235196), _235198) = hAPP(hAPP(c_Power_Opower__class_Opower(_235194), _235196), _235200), -(_235198 = _235200)], (2083 ^ _164577) ^ [] : [_235198 = _235200, -(hAPP(hAPP(c_Power_Opower__class_Opower(_235194), _235196), _235198) = hAPP(hAPP(c_Power_Opower__class_Opower(_235194), _235196), _235200))]]], (2089 ^ _164577) ^ [] : [-(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex), hAPP(hAPP(c_Power_Opower__class_Opower(tc_Complex_Ocomplex), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex), c_RealVector_Oof__real(tc_Complex_Ocomplex, v_t____)), v_w____)), v_k____)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex), c_RealVector_Oof__real(tc_Complex_Ocomplex, v_t____)), v_w____))), hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex, v_s____), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex), c_RealVector_Oof__real(tc_Complex_Ocomplex, v_t____)), v_w____)))), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal), hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal), v_t____), v_k____)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal), v_t____), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal), hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal), c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v_w____)), c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v_k____, c_Groups_Oone__class_Oone(tc_Nat_Onat)))), v_m____)))))], (2091 ^ _164577) ^ [] : [-(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal), hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal), v_t____), v_k____)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal), v_t____), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal), hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal), c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v_w____)), c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v_k____, c_Groups_Oone__class_Oone(tc_Nat_Onat)))), v_m____))), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal), hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal), v_t____), v_k____)), c_Groups_Oone__class_Oone(tc_RealDef_Oreal))))], (2093 ^ _164577) ^ [] : [-(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal), v_t____), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal), hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal), c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v_w____)), c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v_k____, c_Groups_Oone__class_Oone(tc_Nat_Onat)))), v_m____)), c_Groups_Oone__class_Oone(tc_RealDef_Oreal)))], (2096 ^ _164577) ^ [] : [-(c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex, c_Groups_Oone__class_Oone(tc_Complex_Ocomplex), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex), hAPP(hAPP(c_Power_Opower__class_Opower(tc_Complex_Ocomplex), 2094 ^ []), v_k____)), v_a____)) = c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex))], (2099 ^ _164577) ^ [] : [-(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), 2097 ^ []))], (2101 ^ _164577) ^ [_236207] : [c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, _236207), c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v_w____)), -(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex, v_s____), _236207)), 2097 ^ []))], (2107 ^ _164577) ^ [] : [-(c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex, c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex, c_Groups_Oone__class_Oone(tc_Complex_Ocomplex), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex), hAPP(hAPP(c_Power_Opower__class_Opower(tc_Complex_Ocomplex), v_w____), v_k____)), v_a____)), c_Groups_Oone__class_Oone(tc_Complex_Ocomplex)) = c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex, c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex), c_Groups_Oone__class_Oone(tc_Complex_Ocomplex)))], (2109 ^ _164577) ^ [_236544, _236546, _236548, _236550, _236552, _236554] : [class_Rings_Olinordered__semiring__1__strict(_236544), c_Orderings_Oord__class_Oless(_236544, _236546, _236548), c_Orderings_Oord__class_Oless(_236544, _236550, _236548), c_Orderings_Oord__class_Oless__eq(_236544, c_Groups_Ozero__class_Ozero(_236544), _236552), c_Orderings_Oord__class_Oless__eq(_236544, c_Groups_Ozero__class_Ozero(_236544), _236554), c_Groups_Oplus__class_Oplus(_236544, _236552, _236554) = c_Groups_Oone__class_Oone(_236544), -(c_Orderings_Oord__class_Oless(_236544, c_Groups_Oplus__class_Oplus(_236544, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_236544), _236552), _236546), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_236544), _236554), _236550)), _236548))], (2135 ^ _164577) ^ [_237399, _237401, _237403, _237405] : [class_RealVector_Oreal__normed__vector(_237399), c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, _237401, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)), c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_RealVector_Onorm__class_Onorm(_237399, _237403), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal), _237401), c_RealVector_Onorm__class_Onorm(_237399, _237405))), -(_237403 = c_Groups_Ozero__class_Ozero(_237399))], (2149 ^ _164577) ^ [_237901, _237903, _237905, _237907, _237909, _237911] : [class_Rings_Olinordered__semiring__1(_237901), c_Orderings_Oord__class_Oless__eq(_237901, _237903, _237905), c_Orderings_Oord__class_Oless__eq(_237901, _237907, _237905), c_Orderings_Oord__class_Oless__eq(_237901, c_Groups_Ozero__class_Ozero(_237901), _237909), c_Orderings_Oord__class_Oless__eq(_237901, c_Groups_Ozero__class_Ozero(_237901), _237911), c_Groups_Oplus__class_Oplus(_237901, _237909, _237911) = c_Groups_Oone__class_Oone(_237901), -(c_Orderings_Oord__class_Oless__eq(_237901, c_Groups_Oplus__class_Oplus(_237901, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_237901), _237909), _237903), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_237901), _237911), _237907)), _237905))], (2175 ^ _164577) ^ [_238713, _238715] : [-(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal, c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex, _238713, _238715)), c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, _238713)), c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, _238715)))], (2177 ^ _164577) ^ [_238826] : [c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), _238826), 2181 ^ _164577 : [(2182 ^ _164577) ^ [] : [-(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), 2180 ^ [_238826]))], (2184 ^ _164577) ^ [] : [-(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, 2180 ^ [_238826], c_Groups_Oone__class_Oone(tc_RealDef_Oreal)))], (2186 ^ _164577) ^ [] : [-(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, 2180 ^ [_238826], _238826))]]], (2188 ^ _164577) ^ [] : [hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex, v_pa____), v_c____) = c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)], (2190 ^ _164577) ^ [_239282] : [-(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex, v_pa____), v_c____)), c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex, v_pa____), _239282))))], (2192 ^ _164577) ^ [_239396, _239398] : [c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), _239396), c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, _239396, _239398), c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, _239398, c_Groups_Oone__class_Oone(tc_RealDef_Oreal)), -(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal, c_Groups_Oone__class_Oone(tc_RealDef_Oreal), _239398)), _239396), c_Groups_Oone__class_Oone(tc_RealDef_Oreal)))], (2206 ^ _164577) ^ [] : [c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(tc_Complex_Ocomplex, v_pa____) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v_k____, c_Groups_Oone__class_Oone(tc_Nat_Onat))], (2208 ^ _164577) ^ [] : [-(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v_t____, c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal), hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal), c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v_w____)), c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v_k____, c_Groups_Oone__class_Oone(tc_Nat_Onat)))), v_m____))))], (2210 ^ _164577) ^ [_239890] : [-(c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal, _239890) = c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, _239890))], (2212 ^ _164577) ^ [_240032, _240034] : [c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _240032, _240034), -(_240034 = c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _240032, 2215 ^ [_240032, _240034]))], (2219 ^ _164577) ^ [_240265, _240267] : [2220 ^ _164577 : [(2221 ^ _164577) ^ [_240340] : [_240267 = c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _240265, _240340)]], -(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _240265, _240267))], (2225 ^ _164577) ^ [_240523, _240525, _240527] : [class_Rings_Olinordered__idom(_240523), -(c_Groups_Oabs__class_Oabs(_240523, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_240523), _240525), _240527)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_240523), c_Groups_Oabs__class_Oabs(_240523, _240525)), c_Groups_Oabs__class_Oabs(_240523, _240527)))], (2231 ^ _164577) ^ [_240787, _240789] : [class_Rings_Olinordered__idom(_240787), -(hAPP(hAPP(c_Groups_Otimes__class_Otimes(_240787), c_Groups_Oabs__class_Oabs(_240787, _240789)), c_Groups_Oabs__class_Oabs(_240787, _240789)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_240787), _240789), _240789))], (2237 ^ _164577) ^ [_241025] : [class_Rings_Olinordered__idom(_241025), -(c_Groups_Oabs__class_Oabs(_241025, c_Groups_Oone__class_Oone(_241025)) = c_Groups_Oone__class_Oone(_241025))], (2243 ^ _164577) ^ [_241255, _241257, _241259] : [class_Rings_Olinordered__idom(_241255), -(c_Groups_Oabs__class_Oabs(_241255, hAPP(hAPP(c_Power_Opower__class_Opower(_241255), _241257), _241259)) = hAPP(hAPP(c_Power_Opower__class_Opower(_241255), c_Groups_Oabs__class_Oabs(_241255, _241257)), _241259))], (2249 ^ _164577) ^ [_241513, _241515] : [class_RealVector_Oreal__normed__vector(_241513), -(c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, c_RealVector_Onorm__class_Onorm(_241513, _241515)) = c_RealVector_Onorm__class_Onorm(_241513, _241515))], (2255 ^ _164577) ^ [_241781, _241783, _241785, _241787, _241789] : [class_Rings_Olinordered__idom(_241781), c_Orderings_Oord__class_Oless(_241781, c_Groups_Oabs__class_Oabs(_241781, _241783), _241785), c_Orderings_Oord__class_Oless(_241781, c_Groups_Oabs__class_Oabs(_241781, _241787), _241789), -(c_Orderings_Oord__class_Oless(_241781, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_241781), c_Groups_Oabs__class_Oabs(_241781, _241783)), c_Groups_Oabs__class_Oabs(_241781, _241787)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_241781), _241785), _241789)))], (2269 ^ _164577) ^ [_242285, _242287, _242289] : [class_Rings_Olinordered__idom(_242285), 2272 ^ _164577 : [(2273 ^ _164577) ^ [] : [c_Orderings_Oord__class_Oless(_242285, c_Groups_Oabs__class_Oabs(_242285, _242287), _242289), 2276 ^ _164577 : [(2277 ^ _164577) ^ [] : [-(c_Orderings_Oord__class_Oless(_242285, _242287, _242289))], (2279 ^ _164577) ^ [] : [-(c_Orderings_Oord__class_Oless(_242285, c_Groups_Ouminus__class_Ouminus(_242285, _242287), _242289))]]], (2281 ^ _164577) ^ [] : [-(c_Orderings_Oord__class_Oless(_242285, c_Groups_Oabs__class_Oabs(_242285, _242287), _242289)), c_Orderings_Oord__class_Oless(_242285, _242287, _242289), c_Orderings_Oord__class_Oless(_242285, c_Groups_Ouminus__class_Ouminus(_242285, _242287), _242289)]]], (2291 ^ _164577) ^ [_242921] : [-(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, _242921)), c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, _242921)))], (2293 ^ _164577) ^ [_243023, _243025] : [-(c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex, _243023, _243025) = c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex, _243023, c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex, _243025)))], (2295 ^ _164577) ^ [_243157, _243159, _243161] : [class_Rings_Oordered__ring__abs(_243157), -(c_Groups_Oabs__class_Oabs(_243157, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_243157), _243159), _243161)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_243157), c_Groups_Oabs__class_Oabs(_243157, _243159)), c_Groups_Oabs__class_Oabs(_243157, _243161))), 2302 ^ _164577 : [(2303 ^ _164577) ^ [] : [c_Orderings_Oord__class_Oless__eq(_243157, c_Groups_Ozero__class_Ozero(_243157), _243159)], (2305 ^ _164577) ^ [] : [c_Orderings_Oord__class_Oless__eq(_243157, _243159, c_Groups_Ozero__class_Ozero(_243157))]], 2306 ^ _164577 : [(2307 ^ _164577) ^ [] : [c_Orderings_Oord__class_Oless__eq(_243157, c_Groups_Ozero__class_Ozero(_243157), _243161)], (2309 ^ _164577) ^ [] : [c_Orderings_Oord__class_Oless__eq(_243157, _243161, c_Groups_Ozero__class_Ozero(_243157))]]], (2313 ^ _164577) ^ [_243797, _243799, _243801] : [class_Rings_Olinordered__idom(_243797), c_Orderings_Oord__class_Oless__eq(_243797, c_Groups_Ozero__class_Ozero(_243797), _243799), -(hAPP(hAPP(c_Groups_Otimes__class_Otimes(_243797), c_Groups_Oabs__class_Oabs(_243797, _243801)), _243799) = c_Groups_Oabs__class_Oabs(_243797, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_243797), _243801), _243799)))], (2323 ^ _164577) ^ [_244168, _244170, _244172] : [class_Rings_Olinordered__idom(_244168), -(c_Groups_Oabs__class_Oabs(_244168, hAPP(hAPP(c_Power_Opower__class_Opower(_244168), c_Groups_Ouminus__class_Ouminus(_244168, _244170)), _244172)) = c_Groups_Oabs__class_Oabs(_244168, hAPP(hAPP(c_Power_Opower__class_Opower(_244168), _244170), _244172)))], (2329 ^ _164577) ^ [_244446, _244448, _244450] : [c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, _244446, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)), c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, _244448), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal), _244446), c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, _244450))), -(_244448 = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))], (2339 ^ _164577) ^ [_244783, _244785] : [class_RealVector_Oreal__normed__algebra__1(_244783), -(c_RealVector_Onorm__class_Onorm(_244783, c_RealVector_Oof__real(_244783, _244785)) = c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, _244785))], (2345 ^ _164577) ^ [_245023, _245025, _245027] : [class_Rings_Olinordered__idom(_245023), -(c_Orderings_Oord__class_Oless__eq(_245023, c_Groups_Ozero__class_Ozero(_245023), hAPP(hAPP(c_Power_Opower__class_Opower(_245023), c_Groups_Oabs__class_Oabs(_245023, _245025)), _245027)))], (2351 ^ _164577) ^ [_245279, _245281, _245283] : [class_Rings_Olinordered__idom(_245279), -(_245281 = _245283), -(c_Orderings_Oord__class_Oless(_245279, _245281, _245283)), -(c_Orderings_Oord__class_Oless(_245279, _245283, _245281))], (2365 ^ _164577) ^ [] : [-(c_RealVector_Oof__real(tc_Complex_Ocomplex, c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, c_Groups_Oone__class_Oone(tc_RealDef_Oreal))) = c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex, c_Groups_Oone__class_Oone(tc_Complex_Ocomplex)))], (2367 ^ _164577) ^ [_245756, _245758, _245760] : [class_RealVector_Oreal__normed__vector(_245756), -(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal, c_RealVector_Onorm__class_Onorm(_245756, _245758), c_RealVector_Onorm__class_Onorm(_245756, _245760))), c_RealVector_Onorm__class_Onorm(_245756, c_Groups_Ominus__class_Ominus(_245756, _245758, _245760))))], (2373 ^ _164577) ^ [_246012, _246014] : [class_Rings_Omult__zero(_246012), -(hAPP(hAPP(c_Groups_Otimes__class_Otimes(_246012), c_Groups_Ozero__class_Ozero(_246012)), _246014) = c_Groups_Ozero__class_Ozero(_246012))], (2379 ^ _164577) ^ [_246244, _246246] : [class_Rings_Omult__zero(_246244), -(hAPP(hAPP(c_Groups_Otimes__class_Otimes(_246244), _246246), c_Groups_Ozero__class_Ozero(_246244)) = c_Groups_Ozero__class_Ozero(_246244))], (2385 ^ _164577) ^ [_246490, _246492, _246494] : [class_Rings_Oring__no__zero__divisors(_246490), 2388 ^ _164577 : [(2399 ^ _164577) ^ [] : [2400 ^ _164577 : [(2401 ^ _164577) ^ [] : [_246492 = c_Groups_Ozero__class_Ozero(_246490)], (2403 ^ _164577) ^ [] : [_246494 = c_Groups_Ozero__class_Ozero(_246490)]], -(hAPP(hAPP(c_Groups_Otimes__class_Otimes(_246490), _246492), _246494) = c_Groups_Ozero__class_Ozero(_246490))], (2389 ^ _164577) ^ [] : [hAPP(hAPP(c_Groups_Otimes__class_Otimes(_246490), _246492), _246494) = c_Groups_Ozero__class_Ozero(_246490), -(_246492 = c_Groups_Ozero__class_Ozero(_246490)), -(_246494 = c_Groups_Ozero__class_Ozero(_246490))]]], (2407 ^ _164577) ^ [_247184, _247186, _247188] : [class_Rings_Ono__zero__divisors(_247184), -(_247186 = c_Groups_Ozero__class_Ozero(_247184)), -(_247188 = c_Groups_Ozero__class_Ozero(_247184)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_247184), _247186), _247188) = c_Groups_Ozero__class_Ozero(_247184)], (2421 ^ _164577) ^ [_247633, _247635, _247637] : [class_Rings_Ono__zero__divisors(_247633), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_247633), _247635), _247637) = c_Groups_Ozero__class_Ozero(_247633), -(_247635 = c_Groups_Ozero__class_Ozero(_247633)), -(_247637 = c_Groups_Ozero__class_Ozero(_247633))], (2435 ^ _164577) ^ [_248048] : [class_Rings_Ozero__neq__one(_248048), c_Groups_Oone__class_Oone(_248048) = c_Groups_Ozero__class_Ozero(_248048)], (2441 ^ _164577) ^ [_248245] : [class_Rings_Ozero__neq__one(_248245), c_Groups_Ozero__class_Ozero(_248245) = c_Groups_Oone__class_Oone(_248245)], (2447 ^ _164577) ^ [_248484, _248486, _248488, _248490] : [class_Rings_Ocomm__semiring(_248484), -(hAPP(hAPP(c_Groups_Otimes__class_Otimes(_248484), c_Groups_Oplus__class_Oplus(_248484, _248486, _248488)), _248490) = c_Groups_Oplus__class_Oplus(_248484, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_248484), _248486), _248490), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_248484), _248488), _248490)))], (2453 ^ _164577) ^ [_248810, _248812, _248814, _248816, _248818] : [class_Rings_Osemiring(_248810), -(c_Groups_Oplus__class_Oplus(_248810, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_248810), _248812), _248814), c_Groups_Oplus__class_Oplus(_248810, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_248810), _248816), _248814), _248818)) = c_Groups_Oplus__class_Oplus(_248810, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_248810), c_Groups_Oplus__class_Oplus(_248810, _248812, _248816)), _248814), _248818))], (2459 ^ _164577) ^ [_249130, _249132, _249134] : [class_Rings_Oring(_249130), -(c_Groups_Ouminus__class_Ouminus(_249130, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_249130), _249132), _249134)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_249130), _249132), c_Groups_Ouminus__class_Ouminus(_249130, _249134)))], (2465 ^ _164577) ^ [_249402, _249404, _249406] : [class_Rings_Oring(_249402), -(c_Groups_Ouminus__class_Ouminus(_249402, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_249402), _249404), _249406)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_249402), c_Groups_Ouminus__class_Ouminus(_249402, _249404)), _249406))], (2471 ^ _164577) ^ [_249674, _249676, _249678] : [class_Rings_Oring(_249674), -(hAPP(hAPP(c_Groups_Otimes__class_Otimes(_249674), c_Groups_Ouminus__class_Ouminus(_249674, _249676)), _249678) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_249674), _249676), c_Groups_Ouminus__class_Ouminus(_249674, _249678)))], (2477 ^ _164577) ^ [_249946, _249948, _249950] : [class_Rings_Oring(_249946), -(hAPP(hAPP(c_Groups_Otimes__class_Otimes(_249946), c_Groups_Ouminus__class_Ouminus(_249946, _249948)), c_Groups_Ouminus__class_Ouminus(_249946, _249950)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_249946), _249948), _249950))], (2483 ^ _164577) ^ [_250218, _250220, _250222] : [class_Rings_Oidom(_250218), 2486 ^ _164577 : [(2497 ^ _164577) ^ [] : [2498 ^ _164577 : [(2499 ^ _164577) ^ [] : [_250220 = _250222], (2501 ^ _164577) ^ [] : [_250220 = c_Groups_Ouminus__class_Ouminus(_250218, _250222)]], -(hAPP(hAPP(c_Groups_Otimes__class_Otimes(_250218), _250220), _250220) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_250218), _250222), _250222))], (2487 ^ _164577) ^ [] : [hAPP(hAPP(c_Groups_Otimes__class_Otimes(_250218), _250220), _250220) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_250218), _250222), _250222), -(_250220 = _250222), -(_250220 = c_Groups_Ouminus__class_Ouminus(_250218, _250222))]]], (2505 ^ _164577) ^ [_250927, _250929, _250931] : [class_Rings_Oordered__cancel__semiring(_250927), -(c_Orderings_Oord__class_Oless__eq(_250927, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_250927), _250929), _250931), c_Groups_Ozero__class_Ozero(_250927))), 2510 ^ _164577 : [(2511 ^ _164577) ^ [] : [c_Orderings_Oord__class_Oless__eq(_250927, c_Groups_Ozero__class_Ozero(_250927), _250929), c_Orderings_Oord__class_Oless__eq(_250927, _250931, c_Groups_Ozero__class_Ozero(_250927))], (2517 ^ _164577) ^ [] : [c_Orderings_Oord__class_Oless__eq(_250927, _250929, c_Groups_Ozero__class_Ozero(_250927)), c_Orderings_Oord__class_Oless__eq(_250927, c_Groups_Ozero__class_Ozero(_250927), _250931)]]], (2525 ^ _164577) ^ [_251556, _251558, _251560] : [class_Rings_Oordered__ring(_251556), -(c_Orderings_Oord__class_Oless__eq(_251556, c_Groups_Ozero__class_Ozero(_251556), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_251556), _251558), _251560))), 2530 ^ _164577 : [(2531 ^ _164577) ^ [] : [c_Orderings_Oord__class_Oless__eq(_251556, c_Groups_Ozero__class_Ozero(_251556), _251558), c_Orderings_Oord__class_Oless__eq(_251556, c_Groups_Ozero__class_Ozero(_251556), _251560)], (2537 ^ _164577) ^ [] : [c_Orderings_Oord__class_Oless__eq(_251556, _251558, c_Groups_Ozero__class_Ozero(_251556)), c_Orderings_Oord__class_Oless__eq(_251556, _251560, c_Groups_Ozero__class_Ozero(_251556))]]], (2545 ^ _164577) ^ [_252213, _252215, _252217, _252219, _252221] : [class_Rings_Oordered__semiring(_252213), c_Orderings_Oord__class_Oless__eq(_252213, _252215, _252217), c_Orderings_Oord__class_Oless__eq(_252213, _252219, _252221), c_Orderings_Oord__class_Oless__eq(_252213, c_Groups_Ozero__class_Ozero(_252213), _252217), c_Orderings_Oord__class_Oless__eq(_252213, c_Groups_Ozero__class_Ozero(_252213), _252219), -(c_Orderings_Oord__class_Oless__eq(_252213, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_252213), _252215), _252219), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_252213), _252217), _252221)))], (2567 ^ _164577) ^ [_252935, _252937, _252939, _252941, _252943] : [class_Rings_Oordered__semiring(_252935), c_Orderings_Oord__class_Oless__eq(_252935, _252937, _252939), c_Orderings_Oord__class_Oless__eq(_252935, _252941, _252943), c_Orderings_Oord__class_Oless__eq(_252935, c_Groups_Ozero__class_Ozero(_252935), _252937), c_Orderings_Oord__class_Oless__eq(_252935, c_Groups_Ozero__class_Ozero(_252935), _252941), -(c_Orderings_Oord__class_Oless__eq(_252935, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_252935), _252937), _252941), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_252935), _252939), _252943)))], (2589 ^ _164577) ^ [_253643, _253645, _253647, _253649] : [class_Rings_Oordered__ring(_253643), c_Orderings_Oord__class_Oless__eq(_253643, _253645, _253647), c_Orderings_Oord__class_Oless__eq(_253643, _253649, c_Groups_Ozero__class_Ozero(_253643)), -(c_Orderings_Oord__class_Oless__eq(_253643, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_253643), _253649), _253647), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_253643), _253649), _253645)))], (2603 ^ _164577) ^ [_254127, _254129, _254131, _254133] : [class_Rings_Oordered__ring(_254127), c_Orderings_Oord__class_Oless__eq(_254127, _254129, _254131), c_Orderings_Oord__class_Oless__eq(_254127, _254133, c_Groups_Ozero__class_Ozero(_254127)), -(c_Orderings_Oord__class_Oless__eq(_254127, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_254127), _254131), _254133), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_254127), _254129), _254133)))], (2617 ^ _164577) ^ [_254611, _254613, _254615, _254617] : [class_Rings_Oordered__comm__semiring(_254611), c_Orderings_Oord__class_Oless__eq(_254611, _254613, _254615), c_Orderings_Oord__class_Oless__eq(_254611, c_Groups_Ozero__class_Ozero(_254611), _254617), -(c_Orderings_Oord__class_Oless__eq(_254611, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_254611), _254617), _254613), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_254611), _254617), _254615)))], (2631 ^ _164577) ^ [_255095, _255097, _255099, _255101] : [class_Rings_Oordered__semiring(_255095), c_Orderings_Oord__class_Oless__eq(_255095, _255097, _255099), c_Orderings_Oord__class_Oless__eq(_255095, c_Groups_Ozero__class_Ozero(_255095), _255101), -(c_Orderings_Oord__class_Oless__eq(_255095, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_255095), _255101), _255097), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_255095), _255101), _255099)))], (2645 ^ _164577) ^ [_255579, _255581, _255583, _255585] : [class_Rings_Oordered__semiring(_255579), c_Orderings_Oord__class_Oless__eq(_255579, _255581, _255583), c_Orderings_Oord__class_Oless__eq(_255579, c_Groups_Ozero__class_Ozero(_255579), _255585), -(c_Orderings_Oord__class_Oless__eq(_255579, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_255579), _255581), _255585), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_255579), _255583), _255585)))], (2659 ^ _164577) ^ [_256049, _256051, _256053] : [class_Rings_Oordered__ring(_256049), c_Orderings_Oord__class_Oless__eq(_256049, _256051, c_Groups_Ozero__class_Ozero(_256049)), c_Orderings_Oord__class_Oless__eq(_256049, _256053, c_Groups_Ozero__class_Ozero(_256049)), -(c_Orderings_Oord__class_Oless__eq(_256049, c_Groups_Ozero__class_Ozero(_256049), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_256049), _256051), _256053)))], (2673 ^ _164577) ^ [_256497, _256499, _256501] : [class_Rings_Oordered__cancel__semiring(_256497), c_Orderings_Oord__class_Oless__eq(_256497, _256499, c_Groups_Ozero__class_Ozero(_256497)), c_Orderings_Oord__class_Oless__eq(_256497, c_Groups_Ozero__class_Ozero(_256497), _256501), -(c_Orderings_Oord__class_Oless__eq(_256497, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_256497), _256499), _256501), c_Groups_Ozero__class_Ozero(_256497)))], (2687 ^ _164577) ^ [_256945, _256947, _256949] : [class_Rings_Oordered__cancel__semiring(_256945), c_Orderings_Oord__class_Oless__eq(_256945, c_Groups_Ozero__class_Ozero(_256945), _256947), c_Orderings_Oord__class_Oless__eq(_256945, _256949, c_Groups_Ozero__class_Ozero(_256945)), -(c_Orderings_Oord__class_Oless__eq(_256945, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_256945), _256949), _256947), c_Groups_Ozero__class_Ozero(_256945)))], (2701 ^ _164577) ^ [_257393, _257395, _257397] : [class_Rings_Oordered__cancel__semiring(_257393), c_Orderings_Oord__class_Oless__eq(_257393, c_Groups_Ozero__class_Ozero(_257393), _257395), c_Orderings_Oord__class_Oless__eq(_257393, _257397, c_Groups_Ozero__class_Ozero(_257393)), -(c_Orderings_Oord__class_Oless__eq(_257393, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_257393), _257395), _257397), c_Groups_Ozero__class_Ozero(_257393)))], (2715 ^ _164577) ^ [_257841, _257843, _257845] : [class_Rings_Oordered__cancel__semiring(_257841), c_Orderings_Oord__class_Oless__eq(_257841, c_Groups_Ozero__class_Ozero(_257841), _257843), c_Orderings_Oord__class_Oless__eq(_257841, c_Groups_Ozero__class_Ozero(_257841), _257845), -(c_Orderings_Oord__class_Oless__eq(_257841, c_Groups_Ozero__class_Ozero(_257841), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_257841), _257843), _257845)))], (2729 ^ _164577) ^ [_258289, _258291, _258293] : [class_Rings_Olinordered__ring__strict(_258289), 2732 ^ _164577 : [(2733 ^ _164577) ^ [] : [c_Orderings_Oord__class_Oless__eq(_258289, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_258289), _258291), _258293), c_Groups_Ozero__class_Ozero(_258289)), 2738 ^ _164577 : [(2739 ^ _164577) ^ [] : [-(c_Orderings_Oord__class_Oless__eq(_258289, c_Groups_Ozero__class_Ozero(_258289), _258291))], (2741 ^ _164577) ^ [] : [-(c_Orderings_Oord__class_Oless__eq(_258289, _258293, c_Groups_Ozero__class_Ozero(_258289)))]], 2742 ^ _164577 : [(2743 ^ _164577) ^ [] : [-(c_Orderings_Oord__class_Oless__eq(_258289, _258291, c_Groups_Ozero__class_Ozero(_258289)))], (2745 ^ _164577) ^ [] : [-(c_Orderings_Oord__class_Oless__eq(_258289, c_Groups_Ozero__class_Ozero(_258289), _258293))]]], (2747 ^ _164577) ^ [] : [-(c_Orderings_Oord__class_Oless__eq(_258289, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_258289), _258291), _258293), c_Groups_Ozero__class_Ozero(_258289))), 2748 ^ _164577 : [(2749 ^ _164577) ^ [] : [c_Orderings_Oord__class_Oless__eq(_258289, c_Groups_Ozero__class_Ozero(_258289), _258291), c_Orderings_Oord__class_Oless__eq(_258289, _258293, c_Groups_Ozero__class_Ozero(_258289))], (2755 ^ _164577) ^ [] : [c_Orderings_Oord__class_Oless__eq(_258289, _258291, c_Groups_Ozero__class_Ozero(_258289)), c_Orderings_Oord__class_Oless__eq(_258289, c_Groups_Ozero__class_Ozero(_258289), _258293)]]]]], (2763 ^ _164577) ^ [_259338, _259340, _259342] : [class_Rings_Olinordered__ring__strict(_259338), 2766 ^ _164577 : [(2767 ^ _164577) ^ [] : [c_Orderings_Oord__class_Oless__eq(_259338, c_Groups_Ozero__class_Ozero(_259338), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_259338), _259340), _259342)), 2772 ^ _164577 : [(2773 ^ _164577) ^ [] : [-(c_Orderings_Oord__class_Oless__eq(_259338, c_Groups_Ozero__class_Ozero(_259338), _259340))], (2775 ^ _164577) ^ [] : [-(c_Orderings_Oord__class_Oless__eq(_259338, c_Groups_Ozero__class_Ozero(_259338), _259342))]], 2776 ^ _164577 : [(2777 ^ _164577) ^ [] : [-(c_Orderings_Oord__class_Oless__eq(_259338, _259340, c_Groups_Ozero__class_Ozero(_259338)))], (2779 ^ _164577) ^ [] : [-(c_Orderings_Oord__class_Oless__eq(_259338, _259342, c_Groups_Ozero__class_Ozero(_259338)))]]], (2781 ^ _164577) ^ [] : [-(c_Orderings_Oord__class_Oless__eq(_259338, c_Groups_Ozero__class_Ozero(_259338), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_259338), _259340), _259342))), 2782 ^ _164577 : [(2783 ^ _164577) ^ [] : [c_Orderings_Oord__class_Oless__eq(_259338, c_Groups_Ozero__class_Ozero(_259338), _259340), c_Orderings_Oord__class_Oless__eq(_259338, c_Groups_Ozero__class_Ozero(_259338), _259342)], (2789 ^ _164577) ^ [] : [c_Orderings_Oord__class_Oless__eq(_259338, _259340, c_Groups_Ozero__class_Ozero(_259338)), c_Orderings_Oord__class_Oless__eq(_259338, _259342, c_Groups_Ozero__class_Ozero(_259338))]]]]], (2797 ^ _164577) ^ [_260373, _260375] : [class_Rings_Olinordered__ring(_260373), -(c_Orderings_Oord__class_Oless__eq(_260373, c_Groups_Ozero__class_Ozero(_260373), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_260373), _260375), _260375)))], (2803 ^ _164577) ^ [_260603, _260605] : [class_Rings_Olinordered__ring(_260603), c_Orderings_Oord__class_Oless(_260603, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_260603), _260605), _260605), c_Groups_Ozero__class_Ozero(_260603))], (2809 ^ _164577) ^ [_260862, _260864, _260866, _260868] : [class_Rings_Olinordered__ring__strict(_260862), 2812 ^ _164577 : [(2813 ^ _164577) ^ [] : [c_Orderings_Oord__class_Oless(_260862, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_260862), _260864), _260866), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_260862), _260868), _260866)), 2818 ^ _164577 : [(2819 ^ _164577) ^ [] : [-(c_Orderings_Oord__class_Oless(_260862, c_Groups_Ozero__class_Ozero(_260862), _260866))], (2821 ^ _164577) ^ [] : [-(c_Orderings_Oord__class_Oless(_260862, _260864, _260868))]], 2822 ^ _164577 : [(2823 ^ _164577) ^ [] : [-(c_Orderings_Oord__class_Oless(_260862, _260866, c_Groups_Ozero__class_Ozero(_260862)))], (2825 ^ _164577) ^ [] : [-(c_Orderings_Oord__class_Oless(_260862, _260868, _260864))]]], (2827 ^ _164577) ^ [] : [-(c_Orderings_Oord__class_Oless(_260862, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_260862), _260864), _260866), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_260862), _260868), _260866))), 2828 ^ _164577 : [(2829 ^ _164577) ^ [] : [c_Orderings_Oord__class_Oless(_260862, c_Groups_Ozero__class_Ozero(_260862), _260866), c_Orderings_Oord__class_Oless(_260862, _260864, _260868)], (2835 ^ _164577) ^ [] : [c_Orderings_Oord__class_Oless(_260862, _260866, c_Groups_Ozero__class_Ozero(_260862)), c_Orderings_Oord__class_Oless(_260862, _260868, _260864)]]]]], (2843 ^ _164577) ^ [_261965, _261967, _261969, _261971] : [class_Rings_Olinordered__ring__strict(_261965), 2846 ^ _164577 : [(2847 ^ _164577) ^ [] : [c_Orderings_Oord__class_Oless(_261965, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_261965), _261967), _261969), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_261965), _261967), _261971)), 2852 ^ _164577 : [(2853 ^ _164577) ^ [] : [-(c_Orderings_Oord__class_Oless(_261965, c_Groups_Ozero__class_Ozero(_261965), _261967))], (2855 ^ _164577) ^ [] : [-(c_Orderings_Oord__class_Oless(_261965, _261969, _261971))]], 2856 ^ _164577 : [(2857 ^ _164577) ^ [] : [-(c_Orderings_Oord__class_Oless(_261965, _261967, c_Groups_Ozero__class_Ozero(_261965)))], (2859 ^ _164577) ^ [] : [-(c_Orderings_Oord__class_Oless(_261965, _261971, _261969))]]], (2861 ^ _164577) ^ [] : [-(c_Orderings_Oord__class_Oless(_261965, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_261965), _261967), _261969), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_261965), _261967), _261971))), 2862 ^ _164577 : [(2863 ^ _164577) ^ [] : [c_Orderings_Oord__class_Oless(_261965, c_Groups_Ozero__class_Ozero(_261965), _261967), c_Orderings_Oord__class_Oless(_261965, _261969, _261971)], (2869 ^ _164577) ^ [] : [c_Orderings_Oord__class_Oless(_261965, _261967, c_Groups_Ozero__class_Ozero(_261965)), c_Orderings_Oord__class_Oless(_261965, _261971, _261969)]]]]], (2877 ^ _164577) ^ [_263068, _263070, _263072, _263074] : [class_Rings_Olinordered__ring__strict(_263068), c_Orderings_Oord__class_Oless(_263068, c_Groups_Ozero__class_Ozero(_263068), _263070), 2884 ^ _164577 : [(2885 ^ _164577) ^ [] : [c_Orderings_Oord__class_Oless(_263068, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_263068), _263070), _263072), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_263068), _263070), _263074)), -(c_Orderings_Oord__class_Oless(_263068, _263072, _263074))], (2891 ^ _164577) ^ [] : [c_Orderings_Oord__class_Oless(_263068, _263072, _263074), -(c_Orderings_Oord__class_Oless(_263068, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_263068), _263070), _263072), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_263068), _263070), _263074)))]]], (2897 ^ _164577) ^ [_263729, _263731, _263733] : [class_Rings_Olinordered__semiring__strict(_263729), c_Orderings_Oord__class_Oless(_263729, c_Groups_Ozero__class_Ozero(_263729), _263731), c_Orderings_Oord__class_Oless(_263729, c_Groups_Ozero__class_Ozero(_263729), _263733), -(c_Orderings_Oord__class_Oless(_263729, c_Groups_Ozero__class_Ozero(_263729), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_263729), _263731), _263733)))], (2911 ^ _164577) ^ [_264177, _264179, _264181] : [class_Rings_Olinordered__semiring__strict(_264177), c_Orderings_Oord__class_Oless(_264177, c_Groups_Ozero__class_Ozero(_264177), _264179), c_Orderings_Oord__class_Oless(_264177, _264181, c_Groups_Ozero__class_Ozero(_264177)), -(c_Orderings_Oord__class_Oless(_264177, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_264177), _264179), _264181), c_Groups_Ozero__class_Ozero(_264177)))], (2925 ^ _164577) ^ [_264625, _264627, _264629] : [class_Rings_Olinordered__semiring__strict(_264625), c_Orderings_Oord__class_Oless(_264625, c_Groups_Ozero__class_Ozero(_264625), _264627), c_Orderings_Oord__class_Oless(_264625, _264629, c_Groups_Ozero__class_Ozero(_264625)), -(c_Orderings_Oord__class_Oless(_264625, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_264625), _264629), _264627), c_Groups_Ozero__class_Ozero(_264625)))], (2939 ^ _164577) ^ [_265073, _265075, _265077] : [class_Rings_Olinordered__semiring__strict(_265073), c_Orderings_Oord__class_Oless(_265073, c_Groups_Ozero__class_Ozero(_265073), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_265073), _265075), _265077)), c_Orderings_Oord__class_Oless(_265073, c_Groups_Ozero__class_Ozero(_265073), _265075), -(c_Orderings_Oord__class_Oless(_265073, c_Groups_Ozero__class_Ozero(_265073), _265077))], (2953 ^ _164577) ^ [_265521, _265523, _265525] : [class_Rings_Olinordered__semiring__strict(_265521), c_Orderings_Oord__class_Oless(_265521, c_Groups_Ozero__class_Ozero(_265521), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_265521), _265523), _265525)), c_Orderings_Oord__class_Oless(_265521, c_Groups_Ozero__class_Ozero(_265521), _265525), -(c_Orderings_Oord__class_Oless(_265521, c_Groups_Ozero__class_Ozero(_265521), _265523))], (2967 ^ _164577) ^ [_265983, _265985, _265987, _265989] : [class_Rings_Olinordered__ring__strict(_265983), c_Orderings_Oord__class_Oless(_265983, _265985, c_Groups_Ozero__class_Ozero(_265983)), 2974 ^ _164577 : [(2975 ^ _164577) ^ [] : [c_Orderings_Oord__class_Oless(_265983, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_265983), _265985), _265987), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_265983), _265985), _265989)), -(c_Orderings_Oord__class_Oless(_265983, _265989, _265987))], (2981 ^ _164577) ^ [] : [c_Orderings_Oord__class_Oless(_265983, _265989, _265987), -(c_Orderings_Oord__class_Oless(_265983, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_265983), _265985), _265987), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_265983), _265985), _265989)))]]], (2987 ^ _164577) ^ [_266644, _266646, _266648] : [class_Rings_Olinordered__semiring__strict(_266644), c_Orderings_Oord__class_Oless(_266644, _266646, c_Groups_Ozero__class_Ozero(_266644)), c_Orderings_Oord__class_Oless(_266644, c_Groups_Ozero__class_Ozero(_266644), _266648), -(c_Orderings_Oord__class_Oless(_266644, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_266644), _266646), _266648), c_Groups_Ozero__class_Ozero(_266644)))], (3001 ^ _164577) ^ [_267092, _267094, _267096] : [class_Rings_Olinordered__ring__strict(_267092), c_Orderings_Oord__class_Oless(_267092, _267094, c_Groups_Ozero__class_Ozero(_267092)), c_Orderings_Oord__class_Oless(_267092, _267096, c_Groups_Ozero__class_Ozero(_267092)), -(c_Orderings_Oord__class_Oless(_267092, c_Groups_Ozero__class_Ozero(_267092), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_267092), _267094), _267096)))], (3015 ^ _164577) ^ [_267554, _267556, _267558, _267560] : [class_Rings_Olinordered__semiring__strict(_267554), c_Orderings_Oord__class_Oless(_267554, _267556, _267558), c_Orderings_Oord__class_Oless(_267554, c_Groups_Ozero__class_Ozero(_267554), _267560), -(c_Orderings_Oord__class_Oless(_267554, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_267554), _267556), _267560), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_267554), _267558), _267560)))], (3029 ^ _164577) ^ [_268038, _268040, _268042, _268044] : [class_Rings_Olinordered__semiring__strict(_268038), c_Orderings_Oord__class_Oless(_268038, _268040, _268042), c_Orderings_Oord__class_Oless(_268038, c_Groups_Ozero__class_Ozero(_268038), _268044), -(c_Orderings_Oord__class_Oless(_268038, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_268038), _268044), _268040), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_268038), _268044), _268042)))], (3043 ^ _164577) ^ [_268522, _268524, _268526, _268528] : [class_Rings_Olinordered__comm__semiring__strict(_268522), c_Orderings_Oord__class_Oless(_268522, _268524, _268526), c_Orderings_Oord__class_Oless(_268522, c_Groups_Ozero__class_Ozero(_268522), _268528), -(c_Orderings_Oord__class_Oless(_268522, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_268522), _268528), _268524), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_268522), _268528), _268526)))], (3057 ^ _164577) ^ [_269006, _269008, _269010, _269012] : [class_Rings_Olinordered__ring__strict(_269006), c_Orderings_Oord__class_Oless(_269006, _269008, _269010), c_Orderings_Oord__class_Oless(_269006, _269012, c_Groups_Ozero__class_Ozero(_269006)), -(c_Orderings_Oord__class_Oless(_269006, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_269006), _269010), _269012), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_269006), _269008), _269012)))], (3071 ^ _164577) ^ [_269490, _269492, _269494, _269496] : [class_Rings_Olinordered__ring__strict(_269490), c_Orderings_Oord__class_Oless(_269490, _269492, _269494), c_Orderings_Oord__class_Oless(_269490, _269496, c_Groups_Ozero__class_Ozero(_269490)), -(c_Orderings_Oord__class_Oless(_269490, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_269490), _269496), _269494), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_269490), _269496), _269492)))], (3085 ^ _164577) ^ [_269974, _269976, _269978, _269980] : [class_Rings_Olinordered__semidom(_269974), c_Orderings_Oord__class_Oless(_269974, c_Groups_Ozero__class_Ozero(_269974), _269976), c_Orderings_Oord__class_Oless(_269974, _269978, _269980), -(c_Orderings_Oord__class_Oless(_269974, _269978, c_Groups_Oplus__class_Oplus(_269974, _269976, _269980)))], (3099 ^ _164577) ^ [_270392] : [class_Rings_Olinordered__semidom(_270392), -(c_Orderings_Oord__class_Oless__eq(_270392, c_Groups_Ozero__class_Ozero(_270392), c_Groups_Oone__class_Oone(_270392)))], (3105 ^ _164577) ^ [_270590] : [class_Rings_Olinordered__semidom(_270590), c_Orderings_Oord__class_Oless__eq(_270590, c_Groups_Oone__class_Oone(_270590), c_Groups_Ozero__class_Ozero(_270590))], (3111 ^ _164577) ^ [_270789] : [class_Rings_Olinordered__semidom(_270789), c_Orderings_Oord__class_Oless(_270789, c_Groups_Oone__class_Oone(_270789), c_Groups_Ozero__class_Ozero(_270789))], (3117 ^ _164577) ^ [_270988] : [class_Rings_Olinordered__semidom(_270988), -(c_Orderings_Oord__class_Oless(_270988, c_Groups_Ozero__class_Ozero(_270988), c_Groups_Oone__class_Oone(_270988)))], (3123 ^ _164577) ^ [_271214, _271216, _271218] : [class_Rings_Olinordered__semidom(_271214), c_Orderings_Oord__class_Oless(_271214, c_Groups_Oone__class_Oone(_271214), _271216), c_Orderings_Oord__class_Oless(_271214, c_Groups_Oone__class_Oone(_271214), _271218), -(c_Orderings_Oord__class_Oless(_271214, c_Groups_Oone__class_Oone(_271214), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_271214), _271216), _271218)))], (3137 ^ _164577) ^ [_271648, _271650] : [class_Rings_Olinordered__idom(_271648), 3140 ^ _164577 : [(3141 ^ _164577) ^ [] : [c_Orderings_Oord__class_Oless(_271648, _271650, c_Groups_Ouminus__class_Ouminus(_271648, _271650)), -(c_Orderings_Oord__class_Oless(_271648, _271650, c_Groups_Ozero__class_Ozero(_271648)))], (3147 ^ _164577) ^ [] : [c_Orderings_Oord__class_Oless(_271648, _271650, c_Groups_Ozero__class_Ozero(_271648)), -(c_Orderings_Oord__class_Oless(_271648, _271650, c_Groups_Ouminus__class_Ouminus(_271648, _271650)))]]], (3153 ^ _164577) ^ [_272127, _272129] : [class_Rings_Olinordered__semidom(_272127), -(c_Orderings_Oord__class_Oless(_272127, _272129, c_Groups_Oplus__class_Oplus(_272127, _272129, c_Groups_Oone__class_Oone(_272127))))], (3159 ^ _164577) ^ [_272405, _272407, _272409, _272411, _272413, _272415] : [class_Rings_Oring(_272405), 3162 ^ _164577 : [(3163 ^ _164577) ^ [] : [c_Groups_Oplus__class_Oplus(_272405, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_272405), _272407), _272409), _272411) = c_Groups_Oplus__class_Oplus(_272405, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_272405), _272413), _272409), _272415), -(_272411 = c_Groups_Oplus__class_Oplus(_272405, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_272405), c_Groups_Ominus__class_Ominus(_272405, _272413, _272407)), _272409), _272415))], (3169 ^ _164577) ^ [] : [_272411 = c_Groups_Oplus__class_Oplus(_272405, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_272405), c_Groups_Ominus__class_Ominus(_272405, _272413, _272407)), _272409), _272415), -(c_Groups_Oplus__class_Oplus(_272405, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_272405), _272407), _272409), _272411) = c_Groups_Oplus__class_Oplus(_272405, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_272405), _272413), _272409), _272415))]]], (3175 ^ _164577) ^ [_273103, _273105, _273107, _273109, _273111, _273113] : [class_Rings_Oring(_273103), 3178 ^ _164577 : [(3179 ^ _164577) ^ [] : [c_Groups_Oplus__class_Oplus(_273103, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_273103), _273105), _273107), _273109) = c_Groups_Oplus__class_Oplus(_273103, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_273103), _273111), _273107), _273113), -(c_Groups_Oplus__class_Oplus(_273103, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_273103), c_Groups_Ominus__class_Ominus(_273103, _273105, _273111)), _273107), _273109) = _273113)], (3185 ^ _164577) ^ [] : [c_Groups_Oplus__class_Oplus(_273103, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_273103), c_Groups_Ominus__class_Ominus(_273103, _273105, _273111)), _273107), _273109) = _273113, -(c_Groups_Oplus__class_Oplus(_273103, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_273103), _273105), _273107), _273109) = c_Groups_Oplus__class_Oplus(_273103, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_273103), _273111), _273107), _273113))]]], (3191 ^ _164577) ^ [_273745, _273747] : [class_Rings_Oring__1__no__zero__divisors(_273745), 3194 ^ _164577 : [(3205 ^ _164577) ^ [] : [3206 ^ _164577 : [(3207 ^ _164577) ^ [] : [_273747 = c_Groups_Oone__class_Oone(_273745)], (3209 ^ _164577) ^ [] : [_273747 = c_Groups_Ouminus__class_Ouminus(_273745, c_Groups_Oone__class_Oone(_273745))]], -(hAPP(hAPP(c_Groups_Otimes__class_Otimes(_273745), _273747), _273747) = c_Groups_Oone__class_Oone(_273745))], (3195 ^ _164577) ^ [] : [hAPP(hAPP(c_Groups_Otimes__class_Otimes(_273745), _273747), _273747) = c_Groups_Oone__class_Oone(_273745), -(_273747 = c_Groups_Oone__class_Oone(_273745)), -(_273747 = c_Groups_Ouminus__class_Ouminus(_273745, c_Groups_Oone__class_Oone(_273745)))]]], (3213 ^ _164577) ^ [_274440, _274442, _274444, _274446] : [class_Rings_Olinordered__ring__strict(_274440), c_Orderings_Oord__class_Oless(_274440, c_Groups_Ozero__class_Ozero(_274440), _274442), 3220 ^ _164577 : [(3221 ^ _164577) ^ [] : [c_Orderings_Oord__class_Oless__eq(_274440, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_274440), _274442), _274444), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_274440), _274442), _274446)), -(c_Orderings_Oord__class_Oless__eq(_274440, _274444, _274446))], (3227 ^ _164577) ^ [] : [c_Orderings_Oord__class_Oless__eq(_274440, _274444, _274446), -(c_Orderings_Oord__class_Oless__eq(_274440, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_274440), _274442), _274444), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_274440), _274442), _274446)))]]], (3233 ^ _164577) ^ [_275115, _275117, _275119, _275121] : [class_Rings_Olinordered__ring__strict(_275115), c_Orderings_Oord__class_Oless(_275115, _275117, c_Groups_Ozero__class_Ozero(_275115)), 3240 ^ _164577 : [(3241 ^ _164577) ^ [] : [c_Orderings_Oord__class_Oless__eq(_275115, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_275115), _275117), _275119), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_275115), _275117), _275121)), -(c_Orderings_Oord__class_Oless__eq(_275115, _275121, _275119))], (3247 ^ _164577) ^ [] : [c_Orderings_Oord__class_Oless__eq(_275115, _275121, _275119), -(c_Orderings_Oord__class_Oless__eq(_275115, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_275115), _275117), _275119), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_275115), _275117), _275121)))]]], (3253 ^ _164577) ^ [_275804, _275806, _275808, _275810, _275812] : [class_Rings_Olinordered__semiring__strict(_275804), c_Orderings_Oord__class_Oless(_275804, _275806, _275808), c_Orderings_Oord__class_Oless(_275804, _275810, _275812), c_Orderings_Oord__class_Oless(_275804, c_Groups_Ozero__class_Ozero(_275804), _275808), c_Orderings_Oord__class_Oless__eq(_275804, c_Groups_Ozero__class_Ozero(_275804), _275810), -(c_Orderings_Oord__class_Oless(_275804, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_275804), _275806), _275810), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_275804), _275808), _275812)))], (3275 ^ _164577) ^ [_276526, _276528, _276530, _276532, _276534] : [class_Rings_Olinordered__semiring__strict(_276526), c_Orderings_Oord__class_Oless(_276526, _276528, _276530), c_Orderings_Oord__class_Oless(_276526, _276532, _276534), c_Orderings_Oord__class_Oless__eq(_276526, c_Groups_Ozero__class_Ozero(_276526), _276528), c_Orderings_Oord__class_Oless__eq(_276526, c_Groups_Ozero__class_Ozero(_276526), _276532), -(c_Orderings_Oord__class_Oless(_276526, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_276526), _276528), _276532), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_276526), _276530), _276534)))], (3297 ^ _164577) ^ [_277248, _277250, _277252, _277254, _277256] : [class_Rings_Olinordered__semiring__strict(_277248), c_Orderings_Oord__class_Oless(_277248, _277250, _277252), c_Orderings_Oord__class_Oless__eq(_277248, _277254, _277256), c_Orderings_Oord__class_Oless__eq(_277248, c_Groups_Ozero__class_Ozero(_277248), _277250), c_Orderings_Oord__class_Oless(_277248, c_Groups_Ozero__class_Ozero(_277248), _277254), -(c_Orderings_Oord__class_Oless(_277248, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_277248), _277250), _277254), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_277248), _277252), _277256)))], (3319 ^ _164577) ^ [_277970, _277972, _277974, _277976, _277978] : [class_Rings_Olinordered__semiring__strict(_277970), c_Orderings_Oord__class_Oless__eq(_277970, _277972, _277974), c_Orderings_Oord__class_Oless(_277970, _277976, _277978), c_Orderings_Oord__class_Oless(_277970, c_Groups_Ozero__class_Ozero(_277970), _277972), c_Orderings_Oord__class_Oless__eq(_277970, c_Groups_Ozero__class_Ozero(_277970), _277976), -(c_Orderings_Oord__class_Oless(_277970, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_277970), _277972), _277976), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_277970), _277974), _277978)))], (3341 ^ _164577) ^ [_278678, _278680, _278682, _278684] : [class_Rings_Olinordered__semiring(_278678), c_Orderings_Oord__class_Oless(_278678, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_278678), _278680), _278682), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_278678), _278684), _278682)), c_Orderings_Oord__class_Oless__eq(_278678, c_Groups_Ozero__class_Ozero(_278678), _278682), -(c_Orderings_Oord__class_Oless(_278678, _278680, _278684))], (3355 ^ _164577) ^ [_279162, _279164, _279166, _279168] : [class_Rings_Olinordered__semiring__strict(_279162), c_Orderings_Oord__class_Oless(_279162, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_279162), _279164), _279166), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_279162), _279168), _279166)), c_Orderings_Oord__class_Oless__eq(_279162, c_Groups_Ozero__class_Ozero(_279162), _279166), -(c_Orderings_Oord__class_Oless(_279162, _279164, _279168))], (3369 ^ _164577) ^ [_279646, _279648, _279650, _279652] : [class_Rings_Olinordered__semiring(_279646), c_Orderings_Oord__class_Oless(_279646, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_279646), _279648), _279650), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_279646), _279648), _279652)), c_Orderings_Oord__class_Oless__eq(_279646, c_Groups_Ozero__class_Ozero(_279646), _279648), -(c_Orderings_Oord__class_Oless(_279646, _279650, _279652))], (3383 ^ _164577) ^ [_280130, _280132, _280134, _280136] : [class_Rings_Olinordered__semiring__strict(_280130), c_Orderings_Oord__class_Oless(_280130, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_280130), _280132), _280134), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_280130), _280132), _280136)), c_Orderings_Oord__class_Oless__eq(_280130, c_Groups_Ozero__class_Ozero(_280130), _280132), -(c_Orderings_Oord__class_Oless(_280130, _280134, _280136))], (3397 ^ _164577) ^ [_280614, _280616, _280618, _280620] : [class_Rings_Olinordered__semiring__strict(_280614), c_Orderings_Oord__class_Oless__eq(_280614, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_280614), _280616), _280618), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_280614), _280620), _280618)), c_Orderings_Oord__class_Oless(_280614, c_Groups_Ozero__class_Ozero(_280614), _280618), -(c_Orderings_Oord__class_Oless__eq(_280614, _280616, _280620))], (3411 ^ _164577) ^ [_281098, _281100, _281102, _281104] : [class_Rings_Olinordered__semiring__strict(_281098), c_Orderings_Oord__class_Oless__eq(_281098, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_281098), _281100), _281102), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_281098), _281100), _281104)), c_Orderings_Oord__class_Oless(_281098, c_Groups_Ozero__class_Ozero(_281098), _281100), -(c_Orderings_Oord__class_Oless__eq(_281098, _281102, _281104))], (3425 ^ _164577) ^ [_281568, _281570, _281572] : [class_Rings_Olinordered__idom(_281568), c_Orderings_Oord__class_Oless__eq(_281568, c_Groups_Ozero__class_Ozero(_281568), _281570), c_Orderings_Oord__class_Oless__eq(_281568, c_Groups_Ozero__class_Ozero(_281568), _281572), c_Orderings_Oord__class_Oless__eq(_281568, _281572, c_Groups_Oone__class_Oone(_281568)), -(c_Orderings_Oord__class_Oless__eq(_281568, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_281568), _281570), _281572), _281570))], (3443 ^ _164577) ^ [_282111, _282113, _282115] : [class_Rings_Olinordered__idom(_282111), c_Orderings_Oord__class_Oless__eq(_282111, c_Groups_Ozero__class_Ozero(_282111), _282113), c_Orderings_Oord__class_Oless__eq(_282111, c_Groups_Ozero__class_Ozero(_282111), _282115), c_Orderings_Oord__class_Oless__eq(_282111, _282115, c_Groups_Oone__class_Oone(_282111)), -(c_Orderings_Oord__class_Oless__eq(_282111, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_282111), _282115), _282113), _282113))], (3461 ^ _164577) ^ [_282626] : [class_Rings_Olinordered__semidom(_282626), -(c_Orderings_Oord__class_Oless(_282626, c_Groups_Ozero__class_Ozero(_282626), c_Groups_Oplus__class_Oplus(_282626, c_Groups_Oone__class_Oone(_282626), c_Groups_Oone__class_Oone(_282626))))], (3467 ^ _164577) ^ [_282906, _282908, _282910, _282912, _282914, _282916] : [class_Rings_Oordered__ring(_282906), 3470 ^ _164577 : [(3471 ^ _164577) ^ [] : [c_Orderings_Oord__class_Oless__eq(_282906, c_Groups_Oplus__class_Oplus(_282906, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_282906), _282908), _282910), _282912), c_Groups_Oplus__class_Oplus(_282906, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_282906), _282914), _282910), _282916)), -(c_Orderings_Oord__class_Oless__eq(_282906, _282912, c_Groups_Oplus__class_Oplus(_282906, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_282906), c_Groups_Ominus__class_Ominus(_282906, _282914, _282908)), _282910), _282916)))], (3477 ^ _164577) ^ [] : [c_Orderings_Oord__class_Oless__eq(_282906, _282912, c_Groups_Oplus__class_Oplus(_282906, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_282906), c_Groups_Ominus__class_Ominus(_282906, _282914, _282908)), _282910), _282916)), -(c_Orderings_Oord__class_Oless__eq(_282906, c_Groups_Oplus__class_Oplus(_282906, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_282906), _282908), _282910), _282912), c_Groups_Oplus__class_Oplus(_282906, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_282906), _282914), _282910), _282916)))]]], (3483 ^ _164577) ^ [_283610, _283612, _283614, _283616, _283618, _283620] : [class_Rings_Oordered__ring(_283610), 3486 ^ _164577 : [(3487 ^ _164577) ^ [] : [c_Orderings_Oord__class_Oless__eq(_283610, c_Groups_Oplus__class_Oplus(_283610, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_283610), _283612), _283614), _283616), c_Groups_Oplus__class_Oplus(_283610, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_283610), _283618), _283614), _283620)), -(c_Orderings_Oord__class_Oless__eq(_283610, c_Groups_Oplus__class_Oplus(_283610, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_283610), c_Groups_Ominus__class_Ominus(_283610, _283612, _283618)), _283614), _283616), _283620))], (3493 ^ _164577) ^ [] : [c_Orderings_Oord__class_Oless__eq(_283610, c_Groups_Oplus__class_Oplus(_283610, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_283610), c_Groups_Ominus__class_Ominus(_283610, _283612, _283618)), _283614), _283616), _283620), -(c_Orderings_Oord__class_Oless__eq(_283610, c_Groups_Oplus__class_Oplus(_283610, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_283610), _283612), _283614), _283616), c_Groups_Oplus__class_Oplus(_283610, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_283610), _283618), _283614), _283620)))]]], (3499 ^ _164577) ^ [_284314, _284316, _284318, _284320, _284322, _284324] : [class_Rings_Oordered__ring(_284314), 3502 ^ _164577 : [(3503 ^ _164577) ^ [] : [c_Orderings_Oord__class_Oless(_284314, c_Groups_Oplus__class_Oplus(_284314, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_284314), _284316), _284318), _284320), c_Groups_Oplus__class_Oplus(_284314, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_284314), _284322), _284318), _284324)), -(c_Orderings_Oord__class_Oless(_284314, _284320, c_Groups_Oplus__class_Oplus(_284314, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_284314), c_Groups_Ominus__class_Ominus(_284314, _284322, _284316)), _284318), _284324)))], (3509 ^ _164577) ^ [] : [c_Orderings_Oord__class_Oless(_284314, _284320, c_Groups_Oplus__class_Oplus(_284314, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_284314), c_Groups_Ominus__class_Ominus(_284314, _284322, _284316)), _284318), _284324)), -(c_Orderings_Oord__class_Oless(_284314, c_Groups_Oplus__class_Oplus(_284314, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_284314), _284316), _284318), _284320), c_Groups_Oplus__class_Oplus(_284314, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_284314), _284322), _284318), _284324)))]]], (3515 ^ _164577) ^ [_285018, _285020, _285022, _285024, _285026, _285028] : [class_Rings_Oordered__ring(_285018), 3518 ^ _164577 : [(3519 ^ _164577) ^ [] : [c_Orderings_Oord__class_Oless(_285018, c_Groups_Oplus__class_Oplus(_285018, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_285018), _285020), _285022), _285024), c_Groups_Oplus__class_Oplus(_285018, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_285018), _285026), _285022), _285028)), -(c_Orderings_Oord__class_Oless(_285018, c_Groups_Oplus__class_Oplus(_285018, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_285018), c_Groups_Ominus__class_Ominus(_285018, _285020, _285026)), _285022), _285024), _285028))], (3525 ^ _164577) ^ [] : [c_Orderings_Oord__class_Oless(_285018, c_Groups_Oplus__class_Oplus(_285018, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_285018), c_Groups_Ominus__class_Ominus(_285018, _285020, _285026)), _285022), _285024), _285028), -(c_Orderings_Oord__class_Oless(_285018, c_Groups_Oplus__class_Oplus(_285018, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_285018), _285020), _285022), _285024), c_Groups_Oplus__class_Oplus(_285018, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_285018), _285026), _285022), _285028)))]]], (3531 ^ _164577) ^ [] : [-(c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v_k____, c_Groups_Oone__class_Oone(tc_Nat_Onat)), c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(tc_Complex_Ocomplex, v_pa____)))], (3533 ^ _164577) ^ [] : [-(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal), hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal), c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v_w____)), c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v_k____, c_Groups_Oone__class_Oone(tc_Nat_Onat)))), v_m____))))], (3535 ^ _164577) ^ [_285743] : [-(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, c_Groups_Oone__class_Oone(tc_RealDef_Oreal), c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, _285743))))], (3537 ^ _164577) ^ [_285829] : [-(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _285829))], (3539 ^ _164577) ^ [_285951, _285953, _285955] : [class_Groups_Omonoid__mult(_285951), c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _285953), -(hAPP(hAPP(c_Groups_Otimes__class_Otimes(_285951), hAPP(hAPP(c_Power_Opower__class_Opower(_285951), _285955), c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _285953, c_Groups_Oone__class_Oone(tc_Nat_Onat)))), _285955) = hAPP(hAPP(c_Power_Opower__class_Opower(_285951), _285955), _285953))], (3549 ^ _164577) ^ [_286286] : [c_Orderings_Oord__class_Oless(tc_Nat_Onat, _286286, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))], (3551 ^ _164577) ^ [_286408, _286410, _286412] : [class_Power_Opower(_286408), 3554 ^ _164577 : [(3555 ^ _164577) ^ [] : [_286410 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat), -(hAPP(hAPP(c_Power_Opower__class_Opower(_286408), _286412), _286410) = c_Groups_Oone__class_Oone(_286408))], (3561 ^ _164577) ^ [] : [-(_286410 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), -(hAPP(hAPP(c_Power_Opower__class_Opower(_286408), _286412), _286410) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_286408), _286412), hAPP(hAPP(c_Power_Opower__class_Opower(_286408), _286412), c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _286410, c_Groups_Oone__class_Oone(tc_Nat_Onat)))))]]], (3567 ^ _164577) ^ [_286984, _286986] : [_286984 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat), -(hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), _286986), _286984) = c_Groups_Oone__class_Oone(tc_Nat_Onat))], (3573 ^ _164577) ^ [_287158, _287160] : [-(_287158 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), -(hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), _287160), _287158) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _287160), hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), _287160), c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _287158, c_Groups_Oone__class_Oone(tc_Nat_Onat)))))], (3579 ^ _164577) ^ [_287430, _287432, _287434, _287436] : [-(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, _287430, _287432), c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, _287434), c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, _287436)))), c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, _287430, c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, _287434))), c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, _287432, c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, _287436))))))], (3581 ^ _164577) ^ [_287588, _287590, _287592] : [-(c_Groups_Ominus__class_Ominus(tc_Nat_Onat, c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _287588, _287590), _287592) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat, c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _287588, _287592), _287590))], (3583 ^ _164577) ^ [_287729, _287731, _287733] : [class_Rings_Odivision__ring__inverse__zero(_287729), c_Rings_Oinverse__class_Oinverse(_287729, _287731) = c_Rings_Oinverse__class_Oinverse(_287729, _287733), -(_287731 = _287733)], (3593 ^ _164577) ^ [_288062, _288064, _288066] : [class_Rings_Odivision__ring__inverse__zero(_288062), 3596 ^ _164577 : [(3597 ^ _164577) ^ [] : [c_Rings_Oinverse__class_Oinverse(_288062, _288064) = c_Rings_Oinverse__class_Oinverse(_288062, _288066), -(_288064 = _288066)], (3603 ^ _164577) ^ [] : [_288064 = _288066, -(c_Rings_Oinverse__class_Oinverse(_288062, _288064) = c_Rings_Oinverse__class_Oinverse(_288062, _288066))]]], (3609 ^ _164577) ^ [_288554, _288556] : [class_Rings_Odivision__ring__inverse__zero(_288554), -(c_Rings_Oinverse__class_Oinverse(_288554, c_Rings_Oinverse__class_Oinverse(_288554, _288556)) = _288556)], (3615 ^ _164577) ^ [_288774, _288776] : [-(c_RealVector_Onorm__class_Onorm(_288774, c_Rings_Oinverse__class_Oinverse(_288774, _288776)) = c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal, c_RealVector_Onorm__class_Onorm(_288774, _288776))), class_RealVector_Oreal__normed__div__algebra(_288774), class_Rings_Odivision__ring__inverse__zero(_288774)], (3625 ^ _164577) ^ [_289093, _289095] : [-(c_RealVector_Oof__real(_289093, c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal, _289095)) = c_Rings_Oinverse__class_Oinverse(_289093, c_RealVector_Oof__real(_289093, _289095))), class_RealVector_Oreal__div__algebra(_289093), class_Rings_Odivision__ring__inverse__zero(_289093)], (3635 ^ _164577) ^ [] : [-(c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))], (3637 ^ _164577) ^ [_289465, _289467] : [class_RealVector_Oreal__normed__div__algebra(_289465), -(_289467 = c_Groups_Ozero__class_Ozero(_289465)), -(c_RealVector_Onorm__class_Onorm(_289465, c_Rings_Oinverse__class_Oinverse(_289465, _289467)) = c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal, c_RealVector_Onorm__class_Onorm(_289465, _289467)))], (3647 ^ _164577) ^ [_289793, _289795] : [class_RealVector_Oreal__div__algebra(_289793), -(_289795 = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)), -(c_RealVector_Oof__real(_289793, c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal, _289795)) = c_Rings_Oinverse__class_Oinverse(_289793, c_RealVector_Oof__real(_289793, _289795)))], (3657 ^ _164577) ^ [_290103] : [class_Rings_Odivision__ring__inverse__zero(_290103), -(c_Rings_Oinverse__class_Oinverse(_290103, c_Groups_Ozero__class_Ozero(_290103)) = c_Groups_Ozero__class_Ozero(_290103))], (3663 ^ _164577) ^ [_290319, _290321] : [class_Rings_Odivision__ring__inverse__zero(_290319), 3666 ^ _164577 : [(3667 ^ _164577) ^ [] : [c_Rings_Oinverse__class_Oinverse(_290319, _290321) = c_Groups_Ozero__class_Ozero(_290319), -(_290321 = c_Groups_Ozero__class_Ozero(_290319))], (3673 ^ _164577) ^ [] : [_290321 = c_Groups_Ozero__class_Ozero(_290319), -(c_Rings_Oinverse__class_Oinverse(_290319, _290321) = c_Groups_Ozero__class_Ozero(_290319))]]], (3679 ^ _164577) ^ [_290798, _290800] : [class_Rings_Odivision__ring(_290798), -(_290800 = c_Groups_Ozero__class_Ozero(_290798)), c_Rings_Oinverse__class_Oinverse(_290798, _290800) = c_Groups_Ozero__class_Ozero(_290798)], (3689 ^ _164577) ^ [_291113, _291115] : [class_Rings_Odivision__ring(_291113), -(_291115 = c_Groups_Ozero__class_Ozero(_291113)), -(c_Rings_Oinverse__class_Oinverse(_291113, c_Rings_Oinverse__class_Oinverse(_291113, _291115)) = _291115)], (3699 ^ _164577) ^ [_291429, _291431] : [class_Rings_Odivision__ring(_291429), c_Rings_Oinverse__class_Oinverse(_291429, _291431) = c_Groups_Ozero__class_Ozero(_291429), -(_291431 = c_Groups_Ozero__class_Ozero(_291429))], (3709 ^ _164577) ^ [_291754, _291756, _291758] : [class_Rings_Odivision__ring(_291754), c_Rings_Oinverse__class_Oinverse(_291754, _291756) = c_Rings_Oinverse__class_Oinverse(_291754, _291758), -(_291756 = c_Groups_Ozero__class_Ozero(_291754)), -(_291758 = c_Groups_Ozero__class_Ozero(_291754)), -(_291756 = _291758)], (3727 ^ _164577) ^ [_292259] : [class_Rings_Odivision__ring(_292259), -(c_Rings_Oinverse__class_Oinverse(_292259, c_Groups_Oone__class_Oone(_292259)) = c_Groups_Oone__class_Oone(_292259))], (3733 ^ _164577) ^ [_292489, _292491, _292493] : [class_Rings_Odivision__ring__inverse__zero(_292489), -(c_Rings_Oinverse__class_Oinverse(_292489, hAPP(hAPP(c_Power_Opower__class_Opower(_292489), _292491), _292493)) = hAPP(hAPP(c_Power_Opower__class_Opower(_292489), c_Rings_Oinverse__class_Oinverse(_292489, _292491)), _292493))], (3739 ^ _164577) ^ [_292747, _292749] : [class_Rings_Odivision__ring__inverse__zero(_292747), -(c_Rings_Oinverse__class_Oinverse(_292747, c_Groups_Ouminus__class_Ouminus(_292747, _292749)) = c_Groups_Ouminus__class_Ouminus(_292747, c_Rings_Oinverse__class_Oinverse(_292747, _292749)))], (3745 ^ _164577) ^ [_292993, _292995, _292997] : [class_Rings_Odivision__ring(_292993), -(_292995 = c_Groups_Ozero__class_Ozero(_292993)), -(_292997 = c_Groups_Ozero__class_Ozero(_292993)), -(c_Rings_Oinverse__class_Oinverse(_292993, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_292993), _292995), _292997)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_292993), c_Rings_Oinverse__class_Oinverse(_292993, _292997)), c_Rings_Oinverse__class_Oinverse(_292993, _292995)))], (3759 ^ _164577) ^ [_293471, _293473, _293475] : [class_Rings_Odivision__ring(_293471), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_293471), _293473), _293475) = c_Groups_Oone__class_Oone(_293471), -(c_Rings_Oinverse__class_Oinverse(_293471, _293473) = _293475)], (3769 ^ _164577) ^ [_293818, _293820, _293822] : [class_Rings_Odivision__ring(_293818), -(_293820 = c_Groups_Ozero__class_Ozero(_293818)), -(c_Rings_Oinverse__class_Oinverse(_293818, hAPP(hAPP(c_Power_Opower__class_Opower(_293818), _293820), _293822)) = hAPP(hAPP(c_Power_Opower__class_Opower(_293818), c_Rings_Oinverse__class_Oinverse(_293818, _293820)), _293822))], (3779 ^ _164577) ^ [_294176, _294178] : [class_Rings_Odivision__ring(_294176), -(_294178 = c_Groups_Ozero__class_Ozero(_294176)), -(c_Rings_Oinverse__class_Oinverse(_294176, c_Groups_Ouminus__class_Ouminus(_294176, _294178)) = c_Groups_Ouminus__class_Ouminus(_294176, c_Rings_Oinverse__class_Oinverse(_294176, _294178)))], (3789 ^ _164577) ^ [_294532, _294534, _294536, _294538] : [c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), _294532), c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), _294534), c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal), _294534), _294536), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal), _294532), _294538)), -(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal), _294536), c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal, _294532)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal), _294538), c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal, _294534))))], (3803 ^ _164577) ^ [_295044, _295046, _295048, _295050] : [c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), _295044), c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), _295046), c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal), _295046), _295048), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal), _295044), _295050)), -(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal), c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal, _295044)), _295048), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal), c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal, _295046)), _295050)))], (3817 ^ _164577) ^ [_295514] : [-(_295514 = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)), -(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal), c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal, _295514)), _295514) = c_Groups_Oone__class_Oone(tc_RealDef_Oreal))], (3823 ^ _164577) ^ [_295739, _295741] : [class_Groups_Ozero(_295739), 3826 ^ _164577 : [(3827 ^ _164577) ^ [] : [c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(_295739, _295741) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat), -(_295741 = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(_295739)))], (3833 ^ _164577) ^ [] : [_295741 = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(_295739)), -(c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(_295739, _295741) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat))]]], (3839 ^ _164577) ^ [_296232, _296234, _296236] : [class_Rings_Odivision__ring(_296232), -(_296234 = c_Groups_Ozero__class_Ozero(_296232)), -(_296236 = c_Groups_Ozero__class_Ozero(_296232)), -(c_Groups_Oplus__class_Oplus(_296232, c_Rings_Oinverse__class_Oinverse(_296232, _296234), c_Rings_Oinverse__class_Oinverse(_296232, _296236)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_296232), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_296232), c_Rings_Oinverse__class_Oinverse(_296232, _296234)), c_Groups_Oplus__class_Oplus(_296232, _296234, _296236))), c_Rings_Oinverse__class_Oinverse(_296232, _296236)))], (3853 ^ _164577) ^ [_296718, _296720] : [class_Rings_Odivision__ring(_296718), -(_296720 = c_Groups_Ozero__class_Ozero(_296718)), -(hAPP(hAPP(c_Groups_Otimes__class_Otimes(_296718), c_Rings_Oinverse__class_Oinverse(_296718, _296720)), _296720) = c_Groups_Oone__class_Oone(_296718))], (3863 ^ _164577) ^ [_297048, _297050] : [class_Rings_Odivision__ring(_297048), -(_297050 = c_Groups_Ozero__class_Ozero(_297048)), -(hAPP(hAPP(c_Groups_Otimes__class_Otimes(_297048), _297050), c_Rings_Oinverse__class_Oinverse(_297048, _297050)) = c_Groups_Oone__class_Oone(_297048))], (3873 ^ _164577) ^ [_297392, _297394, _297396] : [class_Rings_Odivision__ring(_297392), -(_297394 = c_Groups_Ozero__class_Ozero(_297392)), -(_297396 = c_Groups_Ozero__class_Ozero(_297392)), -(c_Groups_Ominus__class_Ominus(_297392, c_Rings_Oinverse__class_Oinverse(_297392, _297394), c_Rings_Oinverse__class_Oinverse(_297392, _297396)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_297392), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_297392), c_Rings_Oinverse__class_Oinverse(_297392, _297394)), c_Groups_Ominus__class_Ominus(_297392, _297396, _297394))), c_Rings_Oinverse__class_Oinverse(_297392, _297396)))], (3887 ^ _164577) ^ [_297849] : [-(c_Groups_Ominus__class_Ominus(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _297849) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat))], (3889 ^ _164577) ^ [_297931] : [-(c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _297931, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = _297931)], (3891 ^ _164577) ^ [_298013] : [-(c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _298013, _298013) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat))], (3893 ^ _164577) ^ [_298124, _298126] : [c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _298124, _298126) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat), c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _298126, _298124) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat), -(_298124 = _298126)], (3903 ^ _164577) ^ [_298410] : [-(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, _298410, _298410))], (3905 ^ _164577) ^ [_298518, _298520] : [-(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, _298518, _298520)), -(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, _298520, _298518))], (3911 ^ _164577) ^ [_298747, _298749, _298751] : [c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, _298747, _298749), c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, _298749, _298751), -(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, _298747, _298751))], (3921 ^ _164577) ^ [_299062, _299064] : [c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, _299062, _299064), c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, _299064, _299062), -(_299062 = _299064)], (3931 ^ _164577) ^ [_299379, _299381, _299383] : [3932 ^ _164577 : [(3933 ^ _164577) ^ [] : [-(c_Orderings_Oord__class_Oless(tc_Nat_Onat, _299379, _299381))], (3935 ^ _164577) ^ [] : [hBOOL(hAPP(hAPP(_299383, _299381), _299379))]], 3938 ^ _164577 : [(3939 ^ _164577) ^ [] : [-(_299379 = _299381)], (3941 ^ _164577) ^ [] : [hBOOL(hAPP(hAPP(_299383, _299381), _299379))]], 3944 ^ _164577 : [(3945 ^ _164577) ^ [] : [-(c_Orderings_Oord__class_Oless(tc_Nat_Onat, _299381, _299379))], (3947 ^ _164577) ^ [] : [hBOOL(hAPP(hAPP(_299383, _299381), _299379))]], -(hBOOL(hAPP(hAPP(_299383, _299381), _299379)))], (3951 ^ _164577) ^ [_300070, _300072, _300074] : [c_Orderings_Oord__class_Oless(tc_Nat_Onat, _300070, _300072), c_Orderings_Oord__class_Oless(tc_Nat_Onat, _300070, _300074), -(c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _300074, _300072), c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _300074, _300070)))], (3961 ^ _164577) ^ [_300415, _300417, _300419] : [c_Orderings_Oord__class_Oless(tc_Nat_Onat, _300415, _300417), -(c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _300415, _300419), _300417))], (3967 ^ _164577) ^ [_300643, _300645] : [c_Orderings_Oord__class_Oless(tc_Nat_Onat, _300643, _300645), _300643 = _300645], (3973 ^ _164577) ^ [_300856, _300858] : [c_Orderings_Oord__class_Oless(tc_Nat_Onat, _300856, _300858), _300858 = _300856], (3979 ^ _164577) ^ [_301039] : [c_Orderings_Oord__class_Oless(tc_Nat_Onat, _301039, _301039)], (3981 ^ _164577) ^ [_301147, _301149] : [-(_301147 = _301149), -(c_Orderings_Oord__class_Oless(tc_Nat_Onat, _301147, _301149)), -(c_Orderings_Oord__class_Oless(tc_Nat_Onat, _301149, _301147))], (4001 ^ _164577) ^ [_301744, _301746] : [4002 ^ _164577 : [(4003 ^ _164577) ^ [] : [c_Orderings_Oord__class_Oless(tc_Nat_Onat, _301744, _301746)], (4005 ^ _164577) ^ [] : [c_Orderings_Oord__class_Oless(tc_Nat_Onat, _301746, _301744)]], _301744 = _301746], (3991 ^ _164577) ^ [_301485, _301487] : [-(_301485 = _301487), -(c_Orderings_Oord__class_Oless(tc_Nat_Onat, _301485, _301487)), -(c_Orderings_Oord__class_Oless(tc_Nat_Onat, _301487, _301485))], (4009 ^ _164577) ^ [_302005] : [c_Orderings_Oord__class_Oless(tc_Nat_Onat, _302005, _302005)], (4011 ^ _164577) ^ [_302112, _302114, _302116] : [-(c_Groups_Ominus__class_Ominus(tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _302112, _302114), c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _302116, _302114)) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _302112, _302116))], (4013 ^ _164577) ^ [_302238, _302240, _302242] : [-(c_Groups_Ominus__class_Ominus(tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _302238, _302240), c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _302238, _302242)) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _302240, _302242))], (4015 ^ _164577) ^ [_302408, _302410, _302412] : [c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _302408, _302410) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _302412, _302410), -(_302408 = _302412)], (4021 ^ _164577) ^ [_302592, _302594, _302596] : [_302592 = _302596, -(c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _302592, _302594) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _302596, _302594))], (4027 ^ _164577) ^ [_302869, _302871, _302873] : [c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _302869, _302871) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _302869, _302873), -(_302871 = _302873)], (4033 ^ _164577) ^ [_303053, _303055, _303057] : [_303055 = _303057, -(c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _303053, _303055) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _303053, _303057))], (4039 ^ _164577) ^ [_303286, _303288, _303290] : [-(c_Groups_Ominus__class_Ominus(tc_Nat_Onat, c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _303286, _303288), _303290) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _303286, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _303288, _303290)))], (4041 ^ _164577) ^ [_303412, _303414, _303416] : [-(c_Groups_Oplus__class_Oplus(tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _303412, _303414), _303416) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _303412, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _303414, _303416)))], (4043 ^ _164577) ^ [_303524, _303526] : [-(c_Groups_Ominus__class_Ominus(tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _303524, _303526), _303524) = _303526)], (4045 ^ _164577) ^ [_303626, _303628] : [-(c_Groups_Ominus__class_Ominus(tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _303626, _303628), _303628) = _303626)], (4047 ^ _164577) ^ [_303742, _303744, _303746] : [-(c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _303742, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _303744, _303746)) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _303744, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _303742, _303746)))], (4049 ^ _164577) ^ [_303854, _303856] : [-(c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _303854, _303856) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _303856, _303854))], (4051 ^ _164577) ^ [_303985, _303987, _303989] : [c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _303985, _303987), c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _303985, _303989), 4058 ^ _164577 : [(4059 ^ _164577) ^ [] : [c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _303987, _303985), c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _303989, _303985)), -(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _303987, _303989))], (4065 ^ _164577) ^ [] : [c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _303987, _303989), -(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _303987, _303985), c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _303989, _303985)))]]], (4071 ^ _164577) ^ [_304602, _304604, _304606] : [c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _304602, _304604), c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _304602, _304606), -(c_Groups_Ominus__class_Ominus(tc_Nat_Onat, c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _304604, _304602), c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _304606, _304602)) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _304604, _304606))], (4081 ^ _164577) ^ [_304961, _304963, _304965] : [c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _304961, _304963), c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _304961, _304965), 4088 ^ _164577 : [(4089 ^ _164577) ^ [] : [c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _304963, _304961) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _304965, _304961), -(_304963 = _304965)], (4095 ^ _164577) ^ [] : [_304963 = _304965, -(c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _304963, _304961) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _304965, _304961))]]], (4101 ^ _164577) ^ [_305558, _305560] : [c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _305558, _305560), c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _305560, _305558), -(_305558 = _305560)], (4111 ^ _164577) ^ [_305875, _305877, _305879] : [c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _305875, _305877), c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _305877, _305879), -(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _305875, _305879))], (4121 ^ _164577) ^ [_306190, _306192] : [c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _306190, _306192), -(c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _306192, c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _306192, _306190)) = _306190)], (4127 ^ _164577) ^ [_306432, _306434, _306436] : [c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _306432, _306434), -(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _306432, _306436), c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _306434, _306436)))], (4133 ^ _164577) ^ [_306682, _306684, _306686] : [c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _306682, _306684), -(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _306686, _306684), c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _306686, _306682)))], (4139 ^ _164577) ^ [_306918, _306920] : [_306918 = _306920, -(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _306918, _306920))], (4145 ^ _164577) ^ [_307130, _307132] : [-(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _307130, _307132)), -(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _307132, _307130))], (4151 ^ _164577) ^ [_307330, _307332] : [-(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _307330, _307332), _307330))], (4153 ^ _164577) ^ [_307415] : [-(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _307415, _307415))], (4155 ^ _164577) ^ [_307508, _307510] : [-(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal), _307508), _307510) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal), _307510), _307508))], (4157 ^ _164577) ^ [_307628, _307630, _307632] : [-(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal), _307628), _307630)), _307632) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal), _307628), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal), _307630), _307632)))], (4159 ^ _164577) ^ [_307762, _307764, _307766] : [-(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _307762, _307764)), _307766) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _307762), _307766), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _307764), _307766)))], (4161 ^ _164577) ^ [_307898, _307900, _307902] : [-(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _307898), _307900)), _307902) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _307898), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _307900), _307902)))], (4163 ^ _164577) ^ [_308032, _308034, _308036] : [-(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _308032), c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _308034, _308036)) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _308032), _308034), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _308032), _308036)))], (4165 ^ _164577) ^ [_308154, _308156] : [-(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _308154), _308156) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _308156), _308154))], (4167 ^ _164577) ^ [_308245] : [c_Orderings_Oord__class_Oless(tc_Nat_Onat, _308245, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))], (4169 ^ _164577) ^ [_308368] : [-(_308368 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), -(c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _308368))], (4175 ^ _164577) ^ [_308529] : [c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _308529), _308529 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)], (4181 ^ _164577) ^ [_308708] : [c_Orderings_Oord__class_Oless(tc_Nat_Onat, _308708, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))], (4183 ^ _164577) ^ [_308816, _308818] : [c_Orderings_Oord__class_Oless(tc_Nat_Onat, _308816, _308818), _308818 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)], (4189 ^ _164577) ^ [_309015] : [-(_309015 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), -(c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _309015))], (4195 ^ _164577) ^ [_309253, _309255] : [c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _309253, _309255)), -(c_Orderings_Oord__class_Oless(tc_Nat_Onat, _309255, _309253))], (4201 ^ _164577) ^ [_309427, _309429] : [c_Orderings_Oord__class_Oless(tc_Nat_Onat, _309429, _309427), -(c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _309427, _309429)))], (4207 ^ _164577) ^ [_309651, _309653] : [c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _309651), c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _309653), -(c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _309653, _309651), _309653))], (4227 ^ _164577) ^ [_310249, _310251] : [4228 ^ _164577 : [(4229 ^ _164577) ^ [] : [c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, _310249, _310251)], (4231 ^ _164577) ^ [] : [_310249 = _310251]], -(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, _310249, _310251))], (4217 ^ _164577) ^ [_309993, _309995] : [c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, _309993, _309995), -(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, _309993, _309995)), -(_309993 = _309995)], (4235 ^ _164577) ^ [_310568, _310570] : [c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, _310568, _310570), 4238 ^ _164577 : [(4239 ^ _164577) ^ [] : [-(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, _310568, _310570))], (4241 ^ _164577) ^ [] : [_310568 = _310570]]], (4243 ^ _164577) ^ [_310810, _310812] : [-(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, _310810, _310812)), c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, _310810, _310812), -(_310810 = _310812)], (4253 ^ _164577) ^ [_311089] : [-(c_Groups_Oplus__class_Oplus(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _311089) = _311089)], (4255 ^ _164577) ^ [_311171] : [-(c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _311171, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = _311171)], (4257 ^ _164577) ^ [_311311, _311313] : [c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _311311, _311313) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat), 4260 ^ _164577 : [(4261 ^ _164577) ^ [] : [-(_311311 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat))], (4263 ^ _164577) ^ [] : [-(_311313 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat))]]], (4265 ^ _164577) ^ [_311556, _311558] : [-(c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _311556, _311558) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _311556 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _311558 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)], (4275 ^ _164577) ^ [_311865, _311867] : [c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _311865, _311867) = _311865, -(_311867 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat))], (4281 ^ _164577) ^ [_312068, _312070] : [-(c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _312068, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _312068, _312070)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat))], (4283 ^ _164577) ^ [_312156] : [-(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _312156))], (4285 ^ _164577) ^ [_312279] : [c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _312279, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), -(_312279 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat))], (4291 ^ _164577) ^ [_312437] : [_312437 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat), -(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _312437, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))], (4297 ^ _164577) ^ [_312645, _312647] : [c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _312645, _312647), -(c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _312645, _312647) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat))], (4303 ^ _164577) ^ [_312894, _312896] : [c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _312894, _312896) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat), -(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _312894, _312896))], (4309 ^ _164577) ^ [_313066, _313068] : [c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _313066, _313068), -(c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _313066, _313068) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat))], (4315 ^ _164577) ^ [_313259] : [-(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _313259) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat))], (4317 ^ _164577) ^ [_313340] : [-(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _313340), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat))], (4329 ^ _164577) ^ [_313746, _313748] : [4330 ^ _164577 : [(4331 ^ _164577) ^ [] : [_313746 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)], (4333 ^ _164577) ^ [] : [_313748 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)]], -(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _313746), _313748) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat))], (4319 ^ _164577) ^ [_313482, _313484] : [hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _313482), _313484) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat), -(_313482 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), -(_313484 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat))], (4347 ^ _164577) ^ [_314373, _314375, _314377] : [4348 ^ _164577 : [(4349 ^ _164577) ^ [] : [_314375 = _314377], (4351 ^ _164577) ^ [] : [_314373 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)]], -(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _314373), _314375) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _314373), _314377))], (4337 ^ _164577) ^ [_314087, _314089, _314091] : [hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _314087), _314089) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _314087), _314091), -(_314089 = _314091), -(_314087 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat))], (4365 ^ _164577) ^ [_315020, _315022, _315024] : [4366 ^ _164577 : [(4367 ^ _164577) ^ [] : [_315020 = _315024], (4369 ^ _164577) ^ [] : [_315022 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)]], -(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _315020), _315022) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _315024), _315022))], (4355 ^ _164577) ^ [_314734, _314736, _314738] : [hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _314734), _314736) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _314738), _314736), -(_314734 = _314738), -(_314736 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat))], (4373 ^ _164577) ^ [_315352, _315354, _315356] : [c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _315352, _315354), _315356), -(c_Orderings_Oord__class_Oless(tc_Nat_Onat, _315352, _315356))], (4379 ^ _164577) ^ [_315608, _315610, _315612, _315614] : [c_Orderings_Oord__class_Oless(tc_Nat_Onat, _315608, _315610), c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _315612, _315610) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _315608, _315614), -(c_Orderings_Oord__class_Oless(tc_Nat_Onat, _315612, _315614))], (4389 ^ _164577) ^ [_315975, _315977, _315979, _315981] : [c_Orderings_Oord__class_Oless(tc_Nat_Onat, _315975, _315977), c_Orderings_Oord__class_Oless(tc_Nat_Onat, _315979, _315981), -(c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _315975, _315979), c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _315977, _315981)))], (4399 ^ _164577) ^ [_316330, _316332, _316334] : [c_Orderings_Oord__class_Oless(tc_Nat_Onat, _316330, _316332), -(c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _316330, _316334), c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _316332, _316334)))], (4405 ^ _164577) ^ [_316580, _316582, _316584] : [c_Orderings_Oord__class_Oless(tc_Nat_Onat, _316580, _316582), -(c_Orderings_Oord__class_Oless(tc_Nat_Onat, _316580, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _316584, _316582)))], (4411 ^ _164577) ^ [_316822, _316824, _316826] : [c_Orderings_Oord__class_Oless(tc_Nat_Onat, _316822, _316824), -(c_Orderings_Oord__class_Oless(tc_Nat_Onat, _316822, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _316824, _316826)))], (4417 ^ _164577) ^ [_317050, _317052] : [-(c_Orderings_Oord__class_Oless(tc_Nat_Onat, _317050, _317052)), -(c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _317052, c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _317050, _317052)) = _317050)], (4423 ^ _164577) ^ [_317324, _317326, _317328] : [c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _317324, _317326), c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _317324, _317328)), -(c_Orderings_Oord__class_Oless(tc_Nat_Onat, _317326, _317328))], (4429 ^ _164577) ^ [_317512, _317514, _317516] : [c_Orderings_Oord__class_Oless(tc_Nat_Onat, _317514, _317516), -(c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _317512, _317514), c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _317512, _317516)))], (4435 ^ _164577) ^ [_317793, _317795, _317797] : [c_Orderings_Oord__class_Oless(tc_Nat_Onat, _317793, c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _317795, _317797)), -(c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _317793, _317797), _317795))], (4441 ^ _164577) ^ [_317981, _317983, _317985] : [c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _317981, _317985), _317983), -(c_Orderings_Oord__class_Oless(tc_Nat_Onat, _317981, c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _317983, _317985)))], (4447 ^ _164577) ^ [_318203, _318205] : [c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _318203, _318205), _318205)], (4449 ^ _164577) ^ [_318301, _318303] : [c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _318301, _318303), _318301)], (4451 ^ _164577) ^ [_318429, _318431, _318433] : [-(_318429 = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)), 4454 ^ _164577 : [(4455 ^ _164577) ^ [] : [hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal), _318431), _318429) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal), _318433), _318429), -(_318431 = _318433)], (4461 ^ _164577) ^ [] : [_318431 = _318433, -(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal), _318431), _318429) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal), _318433), _318429))]]], (4467 ^ _164577) ^ [_318958, _318960, _318962] : [-(_318958 = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)), 4470 ^ _164577 : [(4471 ^ _164577) ^ [] : [hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal), _318958), _318960) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal), _318958), _318962), -(_318960 = _318962)], (4477 ^ _164577) ^ [] : [_318960 = _318962, -(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal), _318958), _318960) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal), _318958), _318962))]]], (4483 ^ _164577) ^ [_319473, _319475] : [4484 ^ _164577 : [(4485 ^ _164577) ^ [] : [c_Orderings_Oord__class_Oless(tc_Nat_Onat, _319473, _319475)], (4487 ^ _164577) ^ [] : [_319473 = _319475]], -(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _319473, _319475))], (4491 ^ _164577) ^ [_319775, _319777, _319779] : [c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _319775, _319777), c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _319775, _319779), 4498 ^ _164577 : [(4499 ^ _164577) ^ [] : [c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _319777, _319775), c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _319779, _319775)), -(c_Orderings_Oord__class_Oless(tc_Nat_Onat, _319777, _319779))], (4505 ^ _164577) ^ [] : [c_Orderings_Oord__class_Oless(tc_Nat_Onat, _319777, _319779), -(c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _319777, _319775), c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _319779, _319775)))]]], (4511 ^ _164577) ^ [_320392, _320394, _320396] : [c_Orderings_Oord__class_Oless(tc_Nat_Onat, _320392, _320394), c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _320396, _320392), -(c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _320392, _320396), c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _320394, _320396)))], (4521 ^ _164577) ^ [_320723, _320725] : [c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _320723, _320725), -(_320723 = _320725), -(c_Orderings_Oord__class_Oless(tc_Nat_Onat, _320723, _320725))], (4531 ^ _164577) ^ [_321029, _321031] : [c_Orderings_Oord__class_Oless(tc_Nat_Onat, _321029, _321031), -(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _321029, _321031))], (4547 ^ _164577) ^ [_321528, _321530] : [4548 ^ _164577 : [(4549 ^ _164577) ^ [] : [c_Orderings_Oord__class_Oless(tc_Nat_Onat, _321528, _321530)], (4551 ^ _164577) ^ [] : [_321528 = _321530]], -(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _321528, _321530))], (4537 ^ _164577) ^ [_321272, _321274] : [c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _321272, _321274), -(c_Orderings_Oord__class_Oless(tc_Nat_Onat, _321272, _321274)), -(_321272 = _321274)], (4555 ^ _164577) ^ [_321847, _321849] : [c_Orderings_Oord__class_Oless(tc_Nat_Onat, _321847, _321849), 4558 ^ _164577 : [(4559 ^ _164577) ^ [] : [-(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _321847, _321849))], (4561 ^ _164577) ^ [] : [_321847 = _321849]]], (4563 ^ _164577) ^ [_322089, _322091] : [-(c_Orderings_Oord__class_Oless(tc_Nat_Onat, _322089, _322091)), c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _322089, _322091), -(_322089 = _322091)], (4573 ^ _164577) ^ [_322411, _322413, _322415] : [c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _322411, _322413), _322415), 4576 ^ _164577 : [(4577 ^ _164577) ^ [] : [-(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _322411, _322415))], (4579 ^ _164577) ^ [] : [-(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _322413, _322415))]]], (4581 ^ _164577) ^ [_322736, _322738, _322740] : [c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _322736, _322738), _322740), -(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _322736, _322740))], (4587 ^ _164577) ^ [_322978, _322980, _322982] : [c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _322978, _322980), _322982), -(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _322980, _322982))], (4593 ^ _164577) ^ [_323234, _323236, _323238, _323240] : [c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _323234, _323236), c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _323238, _323240), -(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _323234, _323238), c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _323236, _323240)))], (4603 ^ _164577) ^ [_323589, _323591, _323593] : [c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _323589, _323591), -(c_Groups_Ominus__class_Ominus(tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _323591, _323593), _323589) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat, c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _323591, _323589), _323593))], (4609 ^ _164577) ^ [_323853, _323855, _323857] : [c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _323853, _323855), -(c_Groups_Oplus__class_Oplus(tc_Nat_Onat, c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _323855, _323853), _323857) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _323855, _323857), _323853))], (4615 ^ _164577) ^ [_324117, _324119, _324121] : [c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _324117, _324119), -(c_Groups_Ominus__class_Ominus(tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _324121, _324119), _324117) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _324121, c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _324119, _324117)))], (4621 ^ _164577) ^ [_324381, _324383, _324385] : [c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _324381, _324383), 4624 ^ _164577 : [(4625 ^ _164577) ^ [] : [c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _324383, _324381) = _324385, -(_324383 = c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _324385, _324381))], (4631 ^ _164577) ^ [] : [_324383 = c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _324385, _324381), -(c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _324383, _324381) = _324385)]]], (4637 ^ _164577) ^ [_324883, _324885] : [c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _324883, _324885), -(c_Groups_Oplus__class_Oplus(tc_Nat_Onat, c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _324885, _324883), _324883) = _324885)], (4643 ^ _164577) ^ [_325125, _325127, _325129] : [c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _325125, _325127), 4646 ^ _164577 : [(4647 ^ _164577) ^ [] : [c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _325129, c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _325127, _325125)), -(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _325129, _325125), _325127))], (4653 ^ _164577) ^ [] : [c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _325129, _325125), _325127), -(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _325129, c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _325127, _325125)))]]], (4659 ^ _164577) ^ [_325647, _325649, _325651] : [c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _325647, _325649), -(c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _325651, c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _325649, _325647)) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _325651, _325649), _325647))], (4665 ^ _164577) ^ [_325897, _325899] : [c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _325897, _325899), -(c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _325897, c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _325899, _325897)) = _325899)], (4671 ^ _164577) ^ [_326139, _326141, _326143] : [c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _326139, _326141), -(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _326139, _326143), c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _326141, _326143)))], (4677 ^ _164577) ^ [_326389, _326391, _326393] : [c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _326389, _326391), -(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _326393, c_Groups_Ominus__class_Ominus(tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _326391, _326393), _326389)))], (4683 ^ _164577) ^ [_326639, _326641, _326643] : [c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _326639, _326641), -(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _326639, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _326643, _326641)))], (4689 ^ _164577) ^ [_326881, _326883, _326885] : [c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _326881, _326883), -(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _326881, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _326883, _326885)))], (4695 ^ _164577) ^ [_327152, _327154, _327156] : [c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _327152, _327154), c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _327152, _327156)), -(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _327154, _327156))], (4701 ^ _164577) ^ [_327340, _327342, _327344] : [c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _327342, _327344), -(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _327340, _327342), c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _327340, _327344)))], (4707 ^ _164577) ^ [_327621, _327623, _327625] : [c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _327621, _327623), _327625), -(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _327621, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _327625, _327623)))], (4713 ^ _164577) ^ [_327809, _327811, _327813] : [c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _327809, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _327813, _327811)), -(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _327809, _327811), _327813))], (4719 ^ _164577) ^ [_328061, _328063, _328065] : [c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _328061, _328063), -(c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _328065, c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _328063, _328061)) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _328065, _328061), _328063))], (4725 ^ _164577) ^ [_328340, _328342] : [c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _328340, _328342), -(_328342 = c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _328340, 4728 ^ [_328340, _328342]))], (4732 ^ _164577) ^ [_328573, _328575] : [4733 ^ _164577 : [(4734 ^ _164577) ^ [_328648] : [_328575 = c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _328573, _328648)]], -(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _328573, _328575))], (4738 ^ _164577) ^ [_328802, _328804] : [-(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _328802, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _328802, _328804)))], (4740 ^ _164577) ^ [_328901, _328903] : [-(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _328901, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _328903, _328901)))], (4742 ^ _164577) ^ [] : [c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = c_Groups_Oone__class_Oone(tc_RealDef_Oreal)], (4744 ^ _164577) ^ [_329066, _329068, _329070] : [-(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _329066, _329068)), _329070) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _329066), _329070), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _329068), _329070)))], (4746 ^ _164577) ^ [_329202, _329204, _329206] : [-(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _329202), c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _329204, _329206)) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _329202), _329204), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _329202), _329206)))], (4748 ^ _164577) ^ [_329353, _329355, _329357] : [c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, _329353, _329355), -(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, _329357, _329353), c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, _329357, _329355)))], (4754 ^ _164577) ^ [_329617, _329619, _329621, _329623] : [c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _329617, _329619), c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _329621, _329623), -(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _329617), _329621), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _329619), _329623)))], (4764 ^ _164577) ^ [_329980, _329982, _329984] : [c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _329980, _329982), -(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _329984), _329980), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _329984), _329982)))], (4770 ^ _164577) ^ [_330238, _330240, _330242] : [c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _330238, _330240), -(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _330238), _330242), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _330240), _330242)))], (4776 ^ _164577) ^ [_330453] : [-(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _330453, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _330453), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _330453), _330453))))], (4778 ^ _164577) ^ [_330544] : [-(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _330544, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _330544), _330544)))], (4780 ^ _164577) ^ [_330629] : [-(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal), c_Groups_Oone__class_Oone(tc_RealDef_Oreal)), _330629) = _330629)], (4782 ^ _164577) ^ [_330738, _330740, _330742] : [-(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal), c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, _330738, _330740)), _330742) = c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal), _330738), _330742), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal), _330740), _330742)))], (4784 ^ _164577) ^ [_330904, _330906] : [hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _330904), _330906) = c_Groups_Oone__class_Oone(tc_Nat_Onat), 4787 ^ _164577 : [(4788 ^ _164577) ^ [] : [-(_330904 = c_Groups_Oone__class_Oone(tc_Nat_Onat))], (4790 ^ _164577) ^ [] : [-(_330906 = c_Groups_Oone__class_Oone(tc_Nat_Onat))]]], (4792 ^ _164577) ^ [_331153, _331155] : [-(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _331153), _331155) = c_Groups_Oone__class_Oone(tc_Nat_Onat)), _331153 = c_Groups_Oone__class_Oone(tc_Nat_Onat), _331155 = c_Groups_Oone__class_Oone(tc_Nat_Onat)], (4802 ^ _164577) ^ [_331437] : [-(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _331437), c_Groups_Oone__class_Oone(tc_Nat_Onat)) = _331437)], (4804 ^ _164577) ^ [_331579, _331581] : [c_Groups_Oone__class_Oone(tc_Nat_Onat) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _331579), _331581), 4807 ^ _164577 : [(4808 ^ _164577) ^ [] : [-(_331579 = c_Groups_Oone__class_Oone(tc_Nat_Onat))], (4810 ^ _164577) ^ [] : [-(_331581 = c_Groups_Oone__class_Oone(tc_Nat_Onat))]]], (4812 ^ _164577) ^ [_331828, _331830] : [-(c_Groups_Oone__class_Oone(tc_Nat_Onat) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _331828), _331830)), _331828 = c_Groups_Oone__class_Oone(tc_Nat_Onat), _331830 = c_Groups_Oone__class_Oone(tc_Nat_Onat)], (4822 ^ _164577) ^ [_332112] : [-(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), c_Groups_Oone__class_Oone(tc_Nat_Onat)), _332112) = _332112)], (4824 ^ _164577) ^ [_332236, _332238, _332240] : [class_Rings_Olinordered__ring__strict(_332236), 4827 ^ _164577 : [(4828 ^ _164577) ^ [] : [c_Groups_Oplus__class_Oplus(_332236, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_332236), _332238), _332238), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_332236), _332240), _332240)) = c_Groups_Ozero__class_Ozero(_332236), 4831 ^ _164577 : [(4832 ^ _164577) ^ [] : [-(_332238 = c_Groups_Ozero__class_Ozero(_332236))], (4834 ^ _164577) ^ [] : [-(_332240 = c_Groups_Ozero__class_Ozero(_332236))]]], (4836 ^ _164577) ^ [] : [-(c_Groups_Oplus__class_Oplus(_332236, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_332236), _332238), _332238), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_332236), _332240), _332240)) = c_Groups_Ozero__class_Ozero(_332236)), _332238 = c_Groups_Ozero__class_Ozero(_332236), _332240 = c_Groups_Ozero__class_Ozero(_332236)]]], (4846 ^ _164577) ^ [_332994, _332996, _332998, _333000, _333002] : [class_Rings_Oring(_332994), -(c_Groups_Ominus__class_Ominus(_332994, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_332994), _332996), _332998), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_332994), _333000), _333002)) = c_Groups_Oplus__class_Oplus(_332994, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_332994), _332996), c_Groups_Ominus__class_Ominus(_332994, _332998, _333002)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_332994), c_Groups_Ominus__class_Ominus(_332994, _332996, _333000)), _333002)))], (4852 ^ _164577) ^ [_333330, _333332, _333334] : [class_Groups_Ogroup__add(_333330), 4855 ^ _164577 : [(4856 ^ _164577) ^ [] : [c_Groups_Oplus__class_Oplus(_333330, _333332, _333334) = c_Groups_Ozero__class_Ozero(_333330), -(_333334 = c_Groups_Ouminus__class_Ouminus(_333330, _333332))], (4862 ^ _164577) ^ [] : [_333334 = c_Groups_Ouminus__class_Ouminus(_333330, _333332), -(c_Groups_Oplus__class_Oplus(_333330, _333332, _333334) = c_Groups_Ozero__class_Ozero(_333330))]]], (4878 ^ _164577) ^ [_334126, _334128] : [4879 ^ _164577 : [(4880 ^ _164577) ^ [] : [c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _334126)], (4882 ^ _164577) ^ [] : [c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _334128)]], -(c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _334126, _334128)))], (4868 ^ _164577) ^ [_333860, _333862] : [c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _333860, _333862)), -(c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _333860)), -(c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _333862))], (4902 ^ _164577) ^ [_335008, _335010, _335012] : [-(hBOOL(hAPP(_335008, c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _335010, _335012)))), 4905 ^ _164577 : [(4906 ^ _164577) ^ [] : [-(c_Orderings_Oord__class_Oless(tc_Nat_Onat, _335010, _335012))], (4908 ^ _164577) ^ [] : [hBOOL(hAPP(_335008, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))]], 4910 ^ _164577 : [(4911 ^ _164577) ^ [] : [-(_335010 = c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _335012, 4909 ^ [_335008, _335010, _335012]))], (4913 ^ _164577) ^ [] : [hBOOL(hAPP(_335008, 4909 ^ [_335008, _335010, _335012]))]]], (4886 ^ _164577) ^ [_334469, _334471, _334473] : [hBOOL(hAPP(_334469, c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _334471, _334473))), 4889 ^ _164577 : [(4890 ^ _164577) ^ [] : [c_Orderings_Oord__class_Oless(tc_Nat_Onat, _334471, _334473), -(hBOOL(hAPP(_334469, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))))], (4896 ^ _164577) ^ [_334807] : [_334471 = c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _334473, _334807), -(hBOOL(hAPP(_334469, _334807)))]]], (4933 ^ _164577) ^ [_336169, _336171, _336173] : [-(hBOOL(hAPP(_336169, c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _336171, _336173)))), 4936 ^ _164577 : [(4937 ^ _164577) ^ [] : [-(c_Orderings_Oord__class_Oless(tc_Nat_Onat, _336171, _336173))], (4939 ^ _164577) ^ [] : [hBOOL(hAPP(_336169, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))]], 4941 ^ _164577 : [(4942 ^ _164577) ^ [] : [-(_336171 = c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _336173, 4940 ^ [_336169, _336171, _336173]))], (4944 ^ _164577) ^ [] : [hBOOL(hAPP(_336169, 4940 ^ [_336169, _336171, _336173]))]]], (4917 ^ _164577) ^ [_335638, _335640, _335642] : [hBOOL(hAPP(_335638, c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _335640, _335642))), 4920 ^ _164577 : [(4921 ^ _164577) ^ [] : [c_Orderings_Oord__class_Oless(tc_Nat_Onat, _335640, _335642), -(hBOOL(hAPP(_335638, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))))], (4927 ^ _164577) ^ [_335970] : [_335640 = c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _335642, _335970), -(hBOOL(hAPP(_335638, _335970)))]]], (4948 ^ _164577) ^ [_336762, _336764, _336766] : [c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), _336762), 4951 ^ _164577 : [(4952 ^ _164577) ^ [] : [c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal), _336764), _336762), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal), _336766), _336762)), -(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, _336764, _336766))], (4958 ^ _164577) ^ [] : [c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, _336764, _336766), -(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal), _336764), _336762), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal), _336766), _336762)))]]], (4964 ^ _164577) ^ [_337282, _337284] : [c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), _337282), c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), _337284), -(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal), _337282), _337284)))], (4974 ^ _164577) ^ [_337613, _337615, _337617] : [c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), _337613), c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, _337615, _337617), -(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal), _337613), _337615), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal), _337613), _337617)))], (4984 ^ _164577) ^ [_337981, _337983] : [c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _337981), _337983)), 4987 ^ _164577 : [(4988 ^ _164577) ^ [] : [-(c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _337981))], (4990 ^ _164577) ^ [] : [-(c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _337983))]]], (4992 ^ _164577) ^ [_338236, _338238] : [-(c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _338236), _338238))), c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _338236), c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _338238)], (5002 ^ _164577) ^ [_338598, _338600, _338602] : [c_Orderings_Oord__class_Oless(tc_Nat_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _338598), _338600), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _338598), _338602)), 5005 ^ _164577 : [(5006 ^ _164577) ^ [] : [-(c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _338598))], (5008 ^ _164577) ^ [] : [-(c_Orderings_Oord__class_Oless(tc_Nat_Onat, _338600, _338602))]]], (5010 ^ _164577) ^ [_338873, _338875, _338877] : [-(c_Orderings_Oord__class_Oless(tc_Nat_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _338873), _338875), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _338873), _338877))), c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _338873), c_Orderings_Oord__class_Oless(tc_Nat_Onat, _338875, _338877)], (5020 ^ _164577) ^ [_339257, _339259, _339261] : [c_Orderings_Oord__class_Oless(tc_Nat_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _339257), _339259), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _339261), _339259)), 5023 ^ _164577 : [(5024 ^ _164577) ^ [] : [-(c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _339259))], (5026 ^ _164577) ^ [] : [-(c_Orderings_Oord__class_Oless(tc_Nat_Onat, _339257, _339261))]]], (5028 ^ _164577) ^ [_339532, _339534, _339536] : [-(c_Orderings_Oord__class_Oless(tc_Nat_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _339532), _339534), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _339536), _339534))), c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _339534), c_Orderings_Oord__class_Oless(tc_Nat_Onat, _339532, _339536)], (5038 ^ _164577) ^ [_339887, _339889, _339891] : [c_Orderings_Oord__class_Oless(tc_Nat_Onat, _339887, _339889), c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _339891), -(c_Orderings_Oord__class_Oless(tc_Nat_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _339887), _339891), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _339889), _339891)))], (5048 ^ _164577) ^ [_340240, _340242, _340244] : [c_Orderings_Oord__class_Oless(tc_Nat_Onat, _340240, _340242), c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _340244), -(c_Orderings_Oord__class_Oless(tc_Nat_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _340244), _340240), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _340244), _340242)))], (5058 ^ _164577) ^ [_340579, _340581] : [_340579 = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _340579), _340581), -(_340581 = c_Groups_Oone__class_Oone(tc_Nat_Onat)), -(_340579 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat))], (5068 ^ _164577) ^ [_340920, _340922] : [c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, _340920, _340922), -(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal, _340920, _340922), c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)))], (5074 ^ _164577) ^ [_341094, _341096] : [c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal, _341094, _341096), c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)), -(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, _341094, _341096))], (5080 ^ _164577) ^ [_341347, _341349] : [c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal), _341347), _341347), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal), _341349), _341349)) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), 5083 ^ _164577 : [(5084 ^ _164577) ^ [] : [-(_341347 = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))], (5086 ^ _164577) ^ [] : [-(_341349 = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))]]], (5088 ^ _164577) ^ [_341616, _341618] : [-(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal), _341616), _341616), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal), _341618), _341618)) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)), _341616 = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), _341618 = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)], (5098 ^ _164577) ^ [_341934, _341936] : [-(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal), _341934), _341934)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal), _341936), _341936)))], (5100 ^ _164577) ^ [_342088, _342090] : [c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, _342088, _342090) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), -(_342090 = c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, _342088))], (5106 ^ _164577) ^ [_342264, _342266] : [_342266 = c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, _342264), -(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, _342264, _342266) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))], (5112 ^ _164577) ^ [_342519, _342521] : [c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, _342519, c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, _342521)) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), -(_342519 = _342521)], (5118 ^ _164577) ^ [_342695, _342697] : [_342695 = _342697, -(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, _342695, c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, _342697)) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))], (5124 ^ _164577) ^ [_342950, _342952] : [c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, _342950), _342952), 5127 ^ _164577 : [(5128 ^ _164577) ^ [] : [-(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, _342952), _342950))], (5130 ^ _164577) ^ [] : [-(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, _342950, _342952))]]], (5132 ^ _164577) ^ [_343205, _343207] : [-(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, _343205), _343207)), c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, _343207), _343205), c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, _343205, _343207)], (5142 ^ _164577) ^ [_343509, _343511] : [-(c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal, _343509, _343511) = c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, _343509, c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, _343511)))], (5144 ^ _164577) ^ [_343614, _343616] : [-(c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal, _343614, _343616) = c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, _343614, c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, _343616)))], (5146 ^ _164577) ^ [_343719, _343721] : [-(c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, _343719, c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, _343721))) = c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, _343721, c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, _343719))))], (5148 ^ _164577) ^ [_343862, _343864, _343866] : [class_Rings_Olinordered__ring__strict(_343862), 5151 ^ _164577 : [(5152 ^ _164577) ^ [] : [c_Orderings_Oord__class_Oless__eq(_343862, c_Groups_Oplus__class_Oplus(_343862, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_343862), _343864), _343864), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_343862), _343866), _343866)), c_Groups_Ozero__class_Ozero(_343862)), 5155 ^ _164577 : [(5156 ^ _164577) ^ [] : [-(_343864 = c_Groups_Ozero__class_Ozero(_343862))], (5158 ^ _164577) ^ [] : [-(_343866 = c_Groups_Ozero__class_Ozero(_343862))]]], (5160 ^ _164577) ^ [] : [-(c_Orderings_Oord__class_Oless__eq(_343862, c_Groups_Oplus__class_Oplus(_343862, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_343862), _343864), _343864), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_343862), _343866), _343866)), c_Groups_Ozero__class_Ozero(_343862))), _343864 = c_Groups_Ozero__class_Ozero(_343862), _343866 = c_Groups_Ozero__class_Ozero(_343862)]]], (5170 ^ _164577) ^ [_344595, _344597, _344599] : [class_Rings_Olinordered__ring(_344595), -(c_Orderings_Oord__class_Oless__eq(_344595, c_Groups_Ozero__class_Ozero(_344595), c_Groups_Oplus__class_Oplus(_344595, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_344595), _344597), _344597), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_344595), _344599), _344599))))], (5176 ^ _164577) ^ [_344869, _344871, _344873] : [class_Rings_Olinordered__ring__strict(_344869), 5179 ^ _164577 : [(5190 ^ _164577) ^ [] : [5191 ^ _164577 : [(5192 ^ _164577) ^ [] : [-(_344871 = c_Groups_Ozero__class_Ozero(_344869))], (5194 ^ _164577) ^ [] : [-(_344873 = c_Groups_Ozero__class_Ozero(_344869))]], -(c_Orderings_Oord__class_Oless(_344869, c_Groups_Ozero__class_Ozero(_344869), c_Groups_Oplus__class_Oplus(_344869, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_344869), _344871), _344871), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_344869), _344873), _344873))))], (5180 ^ _164577) ^ [] : [c_Orderings_Oord__class_Oless(_344869, c_Groups_Ozero__class_Ozero(_344869), c_Groups_Oplus__class_Oplus(_344869, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_344869), _344871), _344871), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_344869), _344873), _344873))), _344871 = c_Groups_Ozero__class_Ozero(_344869), _344873 = c_Groups_Ozero__class_Ozero(_344869)]]], (5198 ^ _164577) ^ [_345606, _345608, _345610] : [class_Rings_Olinordered__ring(_345606), c_Orderings_Oord__class_Oless(_345606, c_Groups_Oplus__class_Oplus(_345606, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_345606), _345608), _345608), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_345606), _345610), _345610)), c_Groups_Ozero__class_Ozero(_345606))], (5204 ^ _164577) ^ [_345867, _345869] : [class_Rings_Oring__1(_345867), -(c_Groups_Ominus__class_Ominus(_345867, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_345867), _345869), _345869), c_Groups_Oone__class_Oone(_345867)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_345867), c_Groups_Oplus__class_Oplus(_345867, _345869, c_Groups_Oone__class_Oone(_345867))), c_Groups_Ominus__class_Ominus(_345867, _345869, c_Groups_Oone__class_Oone(_345867))))], (5210 ^ _164577) ^ [_346157, _346159, _346161] : [c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), _346157), 5213 ^ _164577 : [(5214 ^ _164577) ^ [] : [c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal), _346159), _346157), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal), _346161), _346157)), -(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, _346159, _346161))], (5220 ^ _164577) ^ [] : [c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, _346159, _346161), -(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal), _346159), _346157), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal), _346161), _346157)))]]], (5226 ^ _164577) ^ [_346691, _346693, _346695] : [c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), _346691), 5229 ^ _164577 : [(5230 ^ _164577) ^ [] : [c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal), _346691), _346693), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal), _346691), _346695)), -(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, _346693, _346695))], (5236 ^ _164577) ^ [] : [c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, _346693, _346695), -(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal), _346691), _346693), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal), _346691), _346695)))]]], (5252 ^ _164577) ^ [_347545, _347547, _347549] : [5253 ^ _164577 : [(5254 ^ _164577) ^ [] : [-(c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _347545))], (5256 ^ _164577) ^ [] : [c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _347547, _347549)]], -(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _347545), _347547), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _347545), _347549)))], (5242 ^ _164577) ^ [_347254, _347256, _347258] : [c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _347254), _347256), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _347254), _347258)), c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _347254), -(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _347256, _347258))], (5270 ^ _164577) ^ [_348204, _348206, _348208] : [5271 ^ _164577 : [(5272 ^ _164577) ^ [] : [-(c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _348206))], (5274 ^ _164577) ^ [] : [c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _348204, _348208)]], -(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _348204), _348206), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _348208), _348206)))], (5260 ^ _164577) ^ [_347913, _347915, _347917] : [c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _347913), _347915), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _347917), _347915)), c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _347915), -(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _347913, _347917))], (5278 ^ _164577) ^ [_348549, _348551] : [_348549 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat), -(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _348549), _348551) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat))], (5284 ^ _164577) ^ [_348723, _348725] : [-(_348723 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), -(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _348723), _348725) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _348725, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _348723, c_Groups_Oone__class_Oone(tc_Nat_Onat))), _348725)))], (5290 ^ _164577) ^ [_349007, _349009] : [c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, _349007, _349009)), -(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, _349007), _349009))], (5296 ^ _164577) ^ [_349187, _349189] : [c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, _349187), _349189), -(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, _349187, _349189)))], (5302 ^ _164577) ^ [_349446, _349448] : [c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, _349446, _349448), c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)), -(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, _349448, c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, _349446)))], (5308 ^ _164577) ^ [_349626, _349628] : [c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, _349628, c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, _349626)), -(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, _349626, _349628), c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)))], (5314 ^ _164577) ^ [_349885, _349887] : [c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, _349885, _349887)), -(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, _349885), _349887))], (5320 ^ _164577) ^ [_350065, _350067] : [c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, _350065), _350067), -(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, _350065, _350067)))], (5326 ^ _164577) ^ [_350324, _350326] : [c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, _350324, _350326), c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)), -(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, _350326, c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, _350324)))], (5332 ^ _164577) ^ [_350504, _350506] : [c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, _350506, c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, _350504)), -(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, _350504, _350506), c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)))], (5338 ^ _164577) ^ [_350740] : [c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, _350740, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)), -(c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, _350740) = c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, _350740))], (5344 ^ _164577) ^ [_350910] : [-(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, _350910, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))), -(c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, _350910) = _350910)], (5350 ^ _164577) ^ [_351133] : [c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, _351133, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)), -(c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, _351133) = c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, _351133))], (5356 ^ _164577) ^ [_351303] : [-(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, _351303, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))), -(c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, _351303) = _351303)], (5362 ^ _164577) ^ [_351490] : [c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, _351490), c_Groups_Oone__class_Oone(tc_RealDef_Oreal)), _351490)], (5365 ^ _164577) ^ [] : [-(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), 5363 ^ []))], (5367 ^ _164577) ^ [] : [-(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, 5363 ^ [], c_Groups_Oone__class_Oone(tc_RealDef_Oreal)))], (5369 ^ _164577) ^ [] : [-(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, 5363 ^ [], c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal), hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal), c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v_w____)), c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v_k____, c_Groups_Oone__class_Oone(tc_Nat_Onat)))), v_m____))))], (5371 ^ _164577) ^ [_351793] : [-(hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex, v_q____), _351793) = hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex, v_pa____), c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex, v_c____, _351793)))], (5373 ^ _164577) ^ [_351896] : [c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(tc_Complex_Ocomplex, _351896), c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(tc_Complex_Ocomplex, v_pa____)), -(c_Fundamental__Theorem__Algebra__Mirabelle_Oconstant(tc_Complex_Ocomplex, tc_Complex_Ocomplex, c_Polynomial_Opoly(tc_Complex_Ocomplex, _351896))), -(hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex, _351896), 5380 ^ [_351896]) = c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex))], (5385 ^ _164577) ^ [] : [-(c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(tc_Complex_Ocomplex, 5383 ^ []) = c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(tc_Complex_Ocomplex, v_pa____))], (5387 ^ _164577) ^ [_352361] : [-(hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex, 5383 ^ []), _352361) = hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex, v_pa____), c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex, v_c____, _352361)))], (5389 ^ _164577) ^ [] : [hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex, v_pa____), v_c____) = c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex), -(hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex, v_pa____), 5392 ^ []) = c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex))], (5396 ^ _164577) ^ [] : [-(c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(tc_Complex_Ocomplex, v_q____) = c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(tc_Complex_Ocomplex, v_pa____))], (5398 ^ _164577) ^ [_352706, _352708, _352710] : [class_RealVector_Oreal__normed__div__algebra(_352706), c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, _352708, c_RealVector_Onorm__class_Onorm(_352706, _352710)), c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), _352708), -(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_RealVector_Onorm__class_Onorm(_352706, c_Rings_Oinverse__class_Oinverse(_352706, _352710)), c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal, _352708)))], (5412 ^ _164577) ^ [] : [hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex, v_q____), c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)) = c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)], (5414 ^ _164577) ^ [] : [c_Fundamental__Theorem__Algebra__Mirabelle_Oconstant(tc_Complex_Ocomplex, tc_Complex_Ocomplex, c_Polynomial_Opoly(tc_Complex_Ocomplex, v_q____))], (5416 ^ _164577) ^ [] : [c_Fundamental__Theorem__Algebra__Mirabelle_Oconstant(tc_Complex_Ocomplex, tc_Complex_Ocomplex, c_Polynomial_Opoly(tc_Complex_Ocomplex, v_q____))], (5418 ^ _164577) ^ [_353263] : [-(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex, v_q____), c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex))), c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex, v_pa____), _353263))))], (5420 ^ _164577) ^ [] : [-(hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex, v_pa____), v_c____) = hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex, v_q____), c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)))], (5422 ^ _164577) ^ [] : [-(c_Groups_Oplus__class_Oplus(tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(tc_Complex_Ocomplex, v_s____), v_k____), c_Groups_Oone__class_Oone(tc_Nat_Onat)) = c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(tc_Complex_Ocomplex, c_Polynomial_Osmult(tc_Complex_Ocomplex, c_Rings_Oinverse__class_Oinverse(tc_Complex_Ocomplex, hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex, v_q____), c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex))), v_q____)))], (5424 ^ _164577) ^ [_353525, _353527, _353529, _353531, _353533] : [c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _353525, _353527), 5427 ^ _164577 : [(5428 ^ _164577) ^ [] : [c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _353525), _353529), _353531), c_Groups_Oplus__class_Oplus(tc_Nat_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _353527), _353529), _353533)), -(c_Orderings_Oord__class_Oless(tc_Nat_Onat, _353531, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _353527, _353525)), _353529), _353533)))], (5434 ^ _164577) ^ [] : [c_Orderings_Oord__class_Oless(tc_Nat_Onat, _353531, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _353527, _353525)), _353529), _353533)), -(c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _353525), _353529), _353531), c_Groups_Oplus__class_Oplus(tc_Nat_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _353527), _353529), _353533)))]]], (5440 ^ _164577) ^ [_354185, _354187, _354189, _354191, _354193] : [c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _354185, _354187), 5443 ^ _164577 : [(5444 ^ _164577) ^ [] : [c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _354187), _354189), _354191), c_Groups_Oplus__class_Oplus(tc_Nat_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _354185), _354189), _354193)), -(c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _354187, _354185)), _354189), _354191), _354193))], (5450 ^ _164577) ^ [] : [c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _354187, _354185)), _354189), _354191), _354193), -(c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _354187), _354189), _354191), c_Groups_Oplus__class_Oplus(tc_Nat_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _354185), _354189), _354193)))]]], (5456 ^ _164577) ^ [_354817, _354819, _354821] : [class_Rings_Odivision__ring(_354817), -(_354819 = c_Groups_Ozero__class_Ozero(_354817)), -(_354821 = c_Groups_Ozero__class_Ozero(_354817)), -(c_Groups_Ominus__class_Ominus(_354817, c_Rings_Oinverse__class_Oinverse(_354817, _354819), c_Rings_Oinverse__class_Oinverse(_354817, _354821)) = c_Groups_Ouminus__class_Ouminus(_354817, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_354817), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_354817), c_Rings_Oinverse__class_Oinverse(_354817, _354819)), c_Groups_Ominus__class_Ominus(_354817, _354819, _354821))), c_Rings_Oinverse__class_Oinverse(_354817, _354821))))], (5470 ^ _164577) ^ [_355309, _355311] : [class_Fields_Olinordered__field__inverse__zero(_355309), 5473 ^ _164577 : [(5474 ^ _164577) ^ [] : [c_Orderings_Oord__class_Oless__eq(_355309, c_Groups_Oone__class_Oone(_355309), c_Rings_Oinverse__class_Oinverse(_355309, _355311)), 5477 ^ _164577 : [(5478 ^ _164577) ^ [] : [-(c_Orderings_Oord__class_Oless(_355309, c_Groups_Ozero__class_Ozero(_355309), _355311))], (5480 ^ _164577) ^ [] : [-(c_Orderings_Oord__class_Oless__eq(_355309, _355311, c_Groups_Oone__class_Oone(_355309)))]]], (5482 ^ _164577) ^ [] : [-(c_Orderings_Oord__class_Oless__eq(_355309, c_Groups_Oone__class_Oone(_355309), c_Rings_Oinverse__class_Oinverse(_355309, _355311))), c_Orderings_Oord__class_Oless(_355309, c_Groups_Ozero__class_Ozero(_355309), _355311), c_Orderings_Oord__class_Oless__eq(_355309, _355311, c_Groups_Oone__class_Oone(_355309))]]], (5492 ^ _164577) ^ [] : [-(hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex, v_q____), c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex), hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex, c_Polynomial_Osmult(tc_Complex_Ocomplex, c_Rings_Oinverse__class_Oinverse(tc_Complex_Ocomplex, hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex, v_q____), c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex))), v_q____)), c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex))), hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex, v_q____), c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex))))], (5494 ^ _164577) ^ [_355985] : [-(hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex, v_q____), _355985) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex), hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex, c_Polynomial_Osmult(tc_Complex_Ocomplex, c_Rings_Oinverse__class_Oinverse(tc_Complex_Ocomplex, hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex, v_q____), c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex))), v_q____)), _355985)), hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex, v_q____), c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex))))], (5496 ^ _164577) ^ [] : [-(hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex, c_Polynomial_Osmult(tc_Complex_Ocomplex, c_Rings_Oinverse__class_Oinverse(tc_Complex_Ocomplex, hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex, v_q____), c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex))), v_q____)), c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)) = c_Groups_Oone__class_Oone(tc_Complex_Ocomplex))], (5498 ^ _164577) ^ [] : [-(c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(tc_Complex_Ocomplex, v_q____) = c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(tc_Complex_Ocomplex, c_Polynomial_Osmult(tc_Complex_Ocomplex, c_Rings_Oinverse__class_Oinverse(tc_Complex_Ocomplex, hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex, v_q____), c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex))), v_q____)))], (5500 ^ _164577) ^ [] : [c_Fundamental__Theorem__Algebra__Mirabelle_Oconstant(tc_Complex_Ocomplex, tc_Complex_Ocomplex, c_Polynomial_Opoly(tc_Complex_Ocomplex, c_Polynomial_Osmult(tc_Complex_Ocomplex, c_Rings_Oinverse__class_Oinverse(tc_Complex_Ocomplex, hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex, v_q____), c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex))), v_q____)))], (5502 ^ _164577) ^ [_356277] : [c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex, c_Polynomial_Osmult(tc_Complex_Ocomplex, c_Rings_Oinverse__class_Oinverse(tc_Complex_Ocomplex, hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex, v_q____), c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex))), v_q____)), _356277)), c_Groups_Oone__class_Oone(tc_RealDef_Oreal)), -(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex, v_q____), _356277)), c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex, v_q____), c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)))))], (5508 ^ _164577) ^ [_356461] : [c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex, v_q____), _356461)), c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex, v_q____), c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)))), -(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex, c_Polynomial_Osmult(tc_Complex_Ocomplex, c_Rings_Oinverse__class_Oinverse(tc_Complex_Ocomplex, hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex, v_q____), c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex))), v_q____)), _356461)), c_Groups_Oone__class_Oone(tc_RealDef_Oreal)))], (5514 ^ _164577) ^ [_356666] : [-(hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex, c_Polynomial_Osmult(tc_Complex_Ocomplex, c_Rings_Oinverse__class_Oinverse(tc_Complex_Ocomplex, hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex, v_q____), c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex))), v_q____)), _356666) = c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex, hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex, c_Polynomial_Osmult(tc_Complex_Ocomplex, c_Rings_Oinverse__class_Oinverse(tc_Complex_Ocomplex, hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex, v_q____), c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex))), v_q____)), c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex), hAPP(hAPP(c_Power_Opower__class_Opower(tc_Complex_Ocomplex), _356666), v_k____)), hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex, c_Polynomial_OpCons(tc_Complex_Ocomplex, v_a____, v_s____)), _356666))))], (5516 ^ _164577) ^ [_356837, _356839, _356841, _356843, _356845] : [class_Groups_Oab__group__add(_356837), -(c_Groups_Ominus__class_Ominus(_356837, c_Groups_Oplus__class_Oplus(_356837, _356839, _356841), c_Groups_Oplus__class_Oplus(_356837, _356843, _356845)) = c_Groups_Oplus__class_Oplus(_356837, c_Groups_Ominus__class_Ominus(_356837, _356839, _356843), c_Groups_Ominus__class_Ominus(_356837, _356841, _356845)))], (5522 ^ _164577) ^ [_357097] : [class_Fields_Ofield__inverse__zero(_357097), -(c_Rings_Oinverse__class_Oinverse(_357097, c_Groups_Ozero__class_Ozero(_357097)) = c_Groups_Ozero__class_Ozero(_357097))], (5528 ^ _164577) ^ [_357327, _357329, _357331] : [class_Fields_Ofield__inverse__zero(_357327), -(c_Rings_Oinverse__class_Oinverse(_357327, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_357327), _357329), _357331)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_357327), c_Rings_Oinverse__class_Oinverse(_357327, _357329)), c_Rings_Oinverse__class_Oinverse(_357327, _357331)))], (5544 ^ _164577) ^ [_357920, _357922, _357924] : [5545 ^ _164577 : [(5546 ^ _164577) ^ [] : [_357920 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)], (5548 ^ _164577) ^ [] : [_357922 = _357924]], -(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _357920), _357922) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _357920), _357924))], (5534 ^ _164577) ^ [_357634, _357636, _357638] : [hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _357634), _357636) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _357634), _357638), -(_357634 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), -(_357636 = _357638)], (5552 ^ _164577) ^ [_358238, _358240] : [class_Fields_Ofield__inverse__zero(_358238), 5555 ^ _164577 : [(5556 ^ _164577) ^ [] : [c_Rings_Oinverse__class_Oinverse(_358238, _358240) = c_Groups_Oone__class_Oone(_358238), -(_358240 = c_Groups_Oone__class_Oone(_358238))], (5562 ^ _164577) ^ [] : [_358240 = c_Groups_Oone__class_Oone(_358238), -(c_Rings_Oinverse__class_Oinverse(_358238, _358240) = c_Groups_Oone__class_Oone(_358238))]]], (5568 ^ _164577) ^ [_358730, _358732, _358734, _358736] : [-(c_Groups_Oplus__class_Oplus(tc_Nat_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _358730), _358732), c_Groups_Oplus__class_Oplus(tc_Nat_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _358734), _358732), _358736)) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _358730, _358734)), _358732), _358736))], (5570 ^ _164577) ^ [_358877, _358879] : [class_Fields_Olinordered__field__inverse__zero(_358877), -(c_Groups_Oabs__class_Oabs(_358877, c_Rings_Oinverse__class_Oinverse(_358877, _358879)) = c_Rings_Oinverse__class_Oinverse(_358877, c_Groups_Oabs__class_Oabs(_358877, _358879)))], (5576 ^ _164577) ^ [_359109, _359111] : [class_Fields_Olinordered__field__inverse__zero(_359109), 5579 ^ _164577 : [(5580 ^ _164577) ^ [] : [c_Orderings_Oord__class_Oless__eq(_359109, c_Groups_Ozero__class_Ozero(_359109), c_Rings_Oinverse__class_Oinverse(_359109, _359111)), -(c_Orderings_Oord__class_Oless__eq(_359109, c_Groups_Ozero__class_Ozero(_359109), _359111))], (5586 ^ _164577) ^ [] : [c_Orderings_Oord__class_Oless__eq(_359109, c_Groups_Ozero__class_Ozero(_359109), _359111), -(c_Orderings_Oord__class_Oless__eq(_359109, c_Groups_Ozero__class_Ozero(_359109), c_Rings_Oinverse__class_Oinverse(_359109, _359111)))]]], (5592 ^ _164577) ^ [_359594, _359596] : [class_Fields_Olinordered__field__inverse__zero(_359594), 5595 ^ _164577 : [(5596 ^ _164577) ^ [] : [c_Orderings_Oord__class_Oless__eq(_359594, c_Rings_Oinverse__class_Oinverse(_359594, _359596), c_Groups_Ozero__class_Ozero(_359594)), -(c_Orderings_Oord__class_Oless__eq(_359594, _359596, c_Groups_Ozero__class_Ozero(_359594)))], (5602 ^ _164577) ^ [] : [c_Orderings_Oord__class_Oless__eq(_359594, _359596, c_Groups_Ozero__class_Ozero(_359594)), -(c_Orderings_Oord__class_Oless__eq(_359594, c_Rings_Oinverse__class_Oinverse(_359594, _359596), c_Groups_Ozero__class_Ozero(_359594)))]]], (5608 ^ _164577) ^ [_360079, _360081] : [class_Fields_Olinordered__field__inverse__zero(_360079), 5611 ^ _164577 : [(5612 ^ _164577) ^ [] : [c_Orderings_Oord__class_Oless(_360079, c_Groups_Ozero__class_Ozero(_360079), c_Rings_Oinverse__class_Oinverse(_360079, _360081)), -(c_Orderings_Oord__class_Oless(_360079, c_Groups_Ozero__class_Ozero(_360079), _360081))], (5618 ^ _164577) ^ [] : [c_Orderings_Oord__class_Oless(_360079, c_Groups_Ozero__class_Ozero(_360079), _360081), -(c_Orderings_Oord__class_Oless(_360079, c_Groups_Ozero__class_Ozero(_360079), c_Rings_Oinverse__class_Oinverse(_360079, _360081)))]]], (5624 ^ _164577) ^ [_360564, _360566] : [class_Fields_Olinordered__field__inverse__zero(_360564), 5627 ^ _164577 : [(5628 ^ _164577) ^ [] : [c_Orderings_Oord__class_Oless(_360564, c_Rings_Oinverse__class_Oinverse(_360564, _360566), c_Groups_Ozero__class_Ozero(_360564)), -(c_Orderings_Oord__class_Oless(_360564, _360566, c_Groups_Ozero__class_Ozero(_360564)))], (5634 ^ _164577) ^ [] : [c_Orderings_Oord__class_Oless(_360564, _360566, c_Groups_Ozero__class_Ozero(_360564)), -(c_Orderings_Oord__class_Oless(_360564, c_Rings_Oinverse__class_Oinverse(_360564, _360566), c_Groups_Ozero__class_Ozero(_360564)))]]], (5640 ^ _164577) ^ [_361049, _361051] : [class_Fields_Olinordered__field(_361049), c_Orderings_Oord__class_Oless(_361049, c_Groups_Ozero__class_Ozero(_361049), _361051), -(c_Orderings_Oord__class_Oless(_361049, c_Groups_Ozero__class_Ozero(_361049), c_Rings_Oinverse__class_Oinverse(_361049, _361051)))], (5650 ^ _164577) ^ [_361364, _361366] : [class_Fields_Olinordered__field(_361364), c_Orderings_Oord__class_Oless(_361364, c_Groups_Ozero__class_Ozero(_361364), c_Rings_Oinverse__class_Oinverse(_361364, _361366)), -(_361366 = c_Groups_Ozero__class_Ozero(_361364)), -(c_Orderings_Oord__class_Oless(_361364, c_Groups_Ozero__class_Ozero(_361364), _361366))], (5664 ^ _164577) ^ [_361775, _361777] : [class_Fields_Olinordered__field(_361775), c_Orderings_Oord__class_Oless(_361775, _361777, c_Groups_Ozero__class_Ozero(_361775)), -(c_Orderings_Oord__class_Oless(_361775, c_Rings_Oinverse__class_Oinverse(_361775, _361777), c_Groups_Ozero__class_Ozero(_361775)))], (5674 ^ _164577) ^ [_362104, _362106, _362108] : [class_Fields_Olinordered__field(_362104), c_Orderings_Oord__class_Oless(_362104, _362106, _362108), c_Orderings_Oord__class_Oless(_362104, c_Groups_Ozero__class_Ozero(_362104), _362106), -(c_Orderings_Oord__class_Oless(_362104, c_Rings_Oinverse__class_Oinverse(_362104, _362108), c_Rings_Oinverse__class_Oinverse(_362104, _362106)))], (5688 ^ _164577) ^ [_362540, _362542, _362544] : [class_Fields_Olinordered__field(_362540), c_Orderings_Oord__class_Oless(_362540, _362542, _362544), c_Orderings_Oord__class_Oless(_362540, _362544, c_Groups_Ozero__class_Ozero(_362540)), -(c_Orderings_Oord__class_Oless(_362540, c_Rings_Oinverse__class_Oinverse(_362540, _362544), c_Rings_Oinverse__class_Oinverse(_362540, _362542)))], (5702 ^ _164577) ^ [_362962, _362964] : [class_Fields_Olinordered__field(_362962), c_Orderings_Oord__class_Oless(_362962, c_Rings_Oinverse__class_Oinverse(_362962, _362964), c_Groups_Ozero__class_Ozero(_362962)), -(_362964 = c_Groups_Ozero__class_Ozero(_362962)), -(c_Orderings_Oord__class_Oless(_362962, _362964, c_Groups_Ozero__class_Ozero(_362962)))], (5716 ^ _164577) ^ [_363387, _363389, _363391] : [class_Fields_Olinordered__field(_363387), c_Orderings_Oord__class_Oless(_363387, c_Rings_Oinverse__class_Oinverse(_363387, _363389), c_Rings_Oinverse__class_Oinverse(_363387, _363391)), c_Orderings_Oord__class_Oless(_363387, c_Groups_Ozero__class_Ozero(_363387), _363389), -(c_Orderings_Oord__class_Oless(_363387, _363391, _363389))], (5730 ^ _164577) ^ [_363823, _363825, _363827] : [class_Fields_Olinordered__field(_363823), c_Orderings_Oord__class_Oless(_363823, c_Rings_Oinverse__class_Oinverse(_363823, _363825), c_Rings_Oinverse__class_Oinverse(_363823, _363827)), c_Orderings_Oord__class_Oless(_363823, _363827, c_Groups_Ozero__class_Ozero(_363823)), -(c_Orderings_Oord__class_Oless(_363823, _363827, _363825))], (5744 ^ _164577) ^ [_364245, _364247] : [class_Fields_Olinordered__field(_364245), -(_364247 = c_Groups_Ozero__class_Ozero(_364245)), -(c_Groups_Oabs__class_Oabs(_364245, c_Rings_Oinverse__class_Oinverse(_364245, _364247)) = c_Rings_Oinverse__class_Oinverse(_364245, c_Groups_Oabs__class_Oabs(_364245, _364247)))], (5754 ^ _164577) ^ [_364587, _364589, _364591] : [c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _364587), 5757 ^ _164577 : [(5758 ^ _164577) ^ [] : [hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _364587), _364589) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _364587), _364591), -(_364589 = _364591)], (5764 ^ _164577) ^ [] : [_364589 = _364591, -(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _364587), _364589) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _364587), _364591))]]], (5770 ^ _164577) ^ [_365115, _365117, _365119] : [c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _365115), 5773 ^ _164577 : [(5774 ^ _164577) ^ [] : [c_Orderings_Oord__class_Oless(tc_Nat_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _365115), _365117), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _365115), _365119)), -(c_Orderings_Oord__class_Oless(tc_Nat_Onat, _365117, _365119))], (5780 ^ _164577) ^ [] : [c_Orderings_Oord__class_Oless(tc_Nat_Onat, _365117, _365119), -(c_Orderings_Oord__class_Oless(tc_Nat_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _365115), _365117), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _365115), _365119)))]]], (5786 ^ _164577) ^ [_365649, _365651, _365653] : [class_Fields_Olinordered__field(_365649), c_Orderings_Oord__class_Oless__eq(_365649, _365651, _365653), c_Orderings_Oord__class_Oless(_365649, c_Groups_Ozero__class_Ozero(_365649), _365651), -(c_Orderings_Oord__class_Oless__eq(_365649, c_Rings_Oinverse__class_Oinverse(_365649, _365653), c_Rings_Oinverse__class_Oinverse(_365649, _365651)))], (5800 ^ _164577) ^ [_366085, _366087, _366089] : [class_Fields_Olinordered__field(_366085), c_Orderings_Oord__class_Oless__eq(_366085, _366087, _366089), c_Orderings_Oord__class_Oless(_366085, _366089, c_Groups_Ozero__class_Ozero(_366085)), -(c_Orderings_Oord__class_Oless__eq(_366085, c_Rings_Oinverse__class_Oinverse(_366085, _366089), c_Rings_Oinverse__class_Oinverse(_366085, _366087)))], (5814 ^ _164577) ^ [_366521, _366523, _366525] : [class_Fields_Olinordered__field(_366521), c_Orderings_Oord__class_Oless__eq(_366521, c_Rings_Oinverse__class_Oinverse(_366521, _366523), c_Rings_Oinverse__class_Oinverse(_366521, _366525)), c_Orderings_Oord__class_Oless(_366521, c_Groups_Ozero__class_Ozero(_366521), _366523), -(c_Orderings_Oord__class_Oless__eq(_366521, _366525, _366523))], (5828 ^ _164577) ^ [_366957, _366959, _366961] : [class_Fields_Olinordered__field(_366957), c_Orderings_Oord__class_Oless__eq(_366957, c_Rings_Oinverse__class_Oinverse(_366957, _366959), c_Rings_Oinverse__class_Oinverse(_366957, _366961)), c_Orderings_Oord__class_Oless(_366957, _366961, c_Groups_Ozero__class_Ozero(_366957)), -(c_Orderings_Oord__class_Oless__eq(_366957, _366961, _366959))], (5842 ^ _164577) ^ [_367379, _367381] : [class_Fields_Olinordered__field__inverse__zero(_367379), 5845 ^ _164577 : [(5856 ^ _164577) ^ [] : [5857 ^ _164577 : [(5858 ^ _164577) ^ [] : [c_Orderings_Oord__class_Oless__eq(_367379, _367381, c_Groups_Ozero__class_Ozero(_367379))], (5860 ^ _164577) ^ [] : [c_Orderings_Oord__class_Oless__eq(_367379, c_Groups_Oone__class_Oone(_367379), _367381)]], -(c_Orderings_Oord__class_Oless__eq(_367379, c_Rings_Oinverse__class_Oinverse(_367379, _367381), c_Groups_Oone__class_Oone(_367379)))], (5846 ^ _164577) ^ [] : [c_Orderings_Oord__class_Oless__eq(_367379, c_Rings_Oinverse__class_Oinverse(_367379, _367381), c_Groups_Oone__class_Oone(_367379)), -(c_Orderings_Oord__class_Oless__eq(_367379, _367381, c_Groups_Ozero__class_Ozero(_367379))), -(c_Orderings_Oord__class_Oless__eq(_367379, c_Groups_Oone__class_Oone(_367379), _367381))]]], (5864 ^ _164577) ^ [_368045, _368047, _368049] : [class_Fields_Ofield(_368045), -(_368047 = c_Groups_Ozero__class_Ozero(_368045)), -(_368049 = c_Groups_Ozero__class_Ozero(_368045)), -(c_Groups_Oplus__class_Oplus(_368045, c_Rings_Oinverse__class_Oinverse(_368045, _368047), c_Rings_Oinverse__class_Oinverse(_368045, _368049)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_368045), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_368045), c_Groups_Oplus__class_Oplus(_368045, _368047, _368049)), c_Rings_Oinverse__class_Oinverse(_368045, _368047))), c_Rings_Oinverse__class_Oinverse(_368045, _368049)))], (5878 ^ _164577) ^ [_368531, _368533] : [class_Fields_Olinordered__field(_368531), c_Orderings_Oord__class_Oless(_368531, c_Groups_Ozero__class_Ozero(_368531), _368533), c_Orderings_Oord__class_Oless(_368531, _368533, c_Groups_Oone__class_Oone(_368531)), -(c_Orderings_Oord__class_Oless(_368531, c_Groups_Oone__class_Oone(_368531), c_Rings_Oinverse__class_Oinverse(_368531, _368533)))], (5892 ^ _164577) ^ [_368941, _368943] : [class_Fields_Olinordered__field__inverse__zero(_368941), 5895 ^ _164577 : [(5896 ^ _164577) ^ [] : [c_Orderings_Oord__class_Oless(_368941, c_Groups_Oone__class_Oone(_368941), c_Rings_Oinverse__class_Oinverse(_368941, _368943)), 5899 ^ _164577 : [(5900 ^ _164577) ^ [] : [-(c_Orderings_Oord__class_Oless(_368941, c_Groups_Ozero__class_Ozero(_368941), _368943))], (5902 ^ _164577) ^ [] : [-(c_Orderings_Oord__class_Oless(_368941, _368943, c_Groups_Oone__class_Oone(_368941)))]]], (5904 ^ _164577) ^ [] : [-(c_Orderings_Oord__class_Oless(_368941, c_Groups_Oone__class_Oone(_368941), c_Rings_Oinverse__class_Oinverse(_368941, _368943))), c_Orderings_Oord__class_Oless(_368941, c_Groups_Ozero__class_Ozero(_368941), _368943), c_Orderings_Oord__class_Oless(_368941, _368943, c_Groups_Oone__class_Oone(_368941))]]], (5914 ^ _164577) ^ [_369593, _369595] : [class_Fields_Ofield(_369593), -(_369595 = c_Groups_Ozero__class_Ozero(_369593)), -(hAPP(hAPP(c_Groups_Otimes__class_Otimes(_369593), c_Rings_Oinverse__class_Oinverse(_369593, _369595)), _369595) = c_Groups_Oone__class_Oone(_369593))], (5924 ^ _164577) ^ [_369937, _369939, _369941] : [c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _369937), 5927 ^ _164577 : [(5928 ^ _164577) ^ [] : [c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _369937), _369939), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _369937), _369941)), -(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _369939, _369941))], (5934 ^ _164577) ^ [] : [c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _369939, _369941), -(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _369937), _369939), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _369937), _369941)))]]], (5940 ^ _164577) ^ [_370499, _370501, _370503, _370505, _370507] : [c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _370499, _370501), 5943 ^ _164577 : [(5944 ^ _164577) ^ [] : [c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _370501), _370503), _370505), c_Groups_Oplus__class_Oplus(tc_Nat_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _370499), _370503), _370507)), -(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _370501, _370499)), _370503), _370505), _370507))], (5950 ^ _164577) ^ [] : [c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _370501, _370499)), _370503), _370505), _370507), -(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _370501), _370503), _370505), c_Groups_Oplus__class_Oplus(tc_Nat_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _370499), _370503), _370507)))]]], (5956 ^ _164577) ^ [_371159, _371161, _371163, _371165, _371167] : [c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _371159, _371161), -(c_Groups_Ominus__class_Ominus(tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _371161), _371163), _371165), c_Groups_Oplus__class_Oplus(tc_Nat_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _371159), _371163), _371167)) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _371161, _371159)), _371163), _371165), _371167))], (5962 ^ _164577) ^ [_371515, _371517, _371519, _371521, _371523] : [c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _371515, _371517), 5965 ^ _164577 : [(5966 ^ _164577) ^ [] : [c_Groups_Oplus__class_Oplus(tc_Nat_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _371517), _371519), _371521) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _371515), _371519), _371523), -(c_Groups_Oplus__class_Oplus(tc_Nat_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _371517, _371515)), _371519), _371521) = _371523)], (5972 ^ _164577) ^ [] : [c_Groups_Oplus__class_Oplus(tc_Nat_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _371517, _371515)), _371519), _371521) = _371523, -(c_Groups_Oplus__class_Oplus(tc_Nat_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _371517), _371519), _371521) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _371515), _371519), _371523))]]], (5978 ^ _164577) ^ [_372169, _372171, _372173, _372175, _372177] : [c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _372169, _372171), 5981 ^ _164577 : [(5982 ^ _164577) ^ [] : [c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _372169), _372173), _372175), c_Groups_Oplus__class_Oplus(tc_Nat_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _372171), _372173), _372177)), -(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _372175, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _372171, _372169)), _372173), _372177)))], (5988 ^ _164577) ^ [] : [c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _372175, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _372171, _372169)), _372173), _372177)), -(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _372169), _372173), _372175), c_Groups_Oplus__class_Oplus(tc_Nat_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _372171), _372173), _372177)))]]], (5994 ^ _164577) ^ [_372829, _372831, _372833, _372835, _372837] : [c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _372829, _372831), -(c_Groups_Ominus__class_Ominus(tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _372829), _372833), _372835), c_Groups_Oplus__class_Oplus(tc_Nat_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _372831), _372833), _372837)) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _372835, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _372831, _372829)), _372833), _372837)))], (6000 ^ _164577) ^ [_373185, _373187, _373189, _373191, _373193] : [c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _373185, _373187), 6003 ^ _164577 : [(6004 ^ _164577) ^ [] : [c_Groups_Oplus__class_Oplus(tc_Nat_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _373185), _373189), _373191) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _373187), _373189), _373193), -(_373191 = c_Groups_Oplus__class_Oplus(tc_Nat_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _373187, _373185)), _373189), _373193))], (6010 ^ _164577) ^ [] : [_373191 = c_Groups_Oplus__class_Oplus(tc_Nat_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _373187, _373185)), _373189), _373193), -(c_Groups_Oplus__class_Oplus(tc_Nat_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _373185), _373189), _373191) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _373187), _373189), _373193))]]], (6016 ^ _164577) ^ [_373797, _373799] : [class_Fields_Olinordered__field(_373797), c_Orderings_Oord__class_Oless(_373797, c_Groups_Ozero__class_Ozero(_373797), _373799), c_Orderings_Oord__class_Oless__eq(_373797, _373799, c_Groups_Oone__class_Oone(_373797)), -(c_Orderings_Oord__class_Oless__eq(_373797, c_Groups_Oone__class_Oone(_373797), c_Rings_Oinverse__class_Oinverse(_373797, _373799)))], (6030 ^ _164577) ^ [_374207, _374209] : [class_Fields_Olinordered__field__inverse__zero(_374207), 6033 ^ _164577 : [(6044 ^ _164577) ^ [] : [6045 ^ _164577 : [(6046 ^ _164577) ^ [] : [c_Orderings_Oord__class_Oless__eq(_374207, _374209, c_Groups_Ozero__class_Ozero(_374207))], (6048 ^ _164577) ^ [] : [c_Orderings_Oord__class_Oless(_374207, c_Groups_Oone__class_Oone(_374207), _374209)]], -(c_Orderings_Oord__class_Oless(_374207, c_Rings_Oinverse__class_Oinverse(_374207, _374209), c_Groups_Oone__class_Oone(_374207)))], (6034 ^ _164577) ^ [] : [c_Orderings_Oord__class_Oless(_374207, c_Rings_Oinverse__class_Oinverse(_374207, _374209), c_Groups_Oone__class_Oone(_374207)), -(c_Orderings_Oord__class_Oless__eq(_374207, _374209, c_Groups_Ozero__class_Ozero(_374207))), -(c_Orderings_Oord__class_Oless(_374207, c_Groups_Oone__class_Oone(_374207), _374209))]]], (6052 ^ _164577) ^ [] : [c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(tc_Complex_Ocomplex, v_pa____) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v_k____, c_Groups_Oone__class_Oone(tc_Nat_Onat)), -(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex, c_Polynomial_Osmult(tc_Complex_Ocomplex, c_Rings_Oinverse__class_Oinverse(tc_Complex_Ocomplex, hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex, v_q____), c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex))), v_q____)), 6055 ^ [])), c_Groups_Oone__class_Oone(tc_RealDef_Oreal)))], (6061 ^ _164577) ^ [] : [hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex, c_Polynomial_Osmult(tc_Complex_Ocomplex, c_Rings_Oinverse__class_Oinverse(tc_Complex_Ocomplex, hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex, v_q____), c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex))), v_q____)), 6058 ^ []) = hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex, c_Polynomial_Osmult(tc_Complex_Ocomplex, c_Rings_Oinverse__class_Oinverse(tc_Complex_Ocomplex, hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex, v_q____), c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex))), v_q____)), 6059 ^ [])], (6063 ^ _164577) ^ [_375190, _375192, _375194, _375196] : [class_Rings_Olinordered__idom(_375190), 6066 ^ _164577 : [(6067 ^ _164577) ^ [] : [c_Orderings_Oord__class_Oless(_375190, c_Groups_Oabs__class_Oabs(_375190, c_Groups_Ominus__class_Ominus(_375190, _375192, _375194)), _375196), 6070 ^ _164577 : [(6071 ^ _164577) ^ [] : [-(c_Orderings_Oord__class_Oless(_375190, c_Groups_Ominus__class_Ominus(_375190, _375194, _375196), _375192))], (6073 ^ _164577) ^ [] : [-(c_Orderings_Oord__class_Oless(_375190, _375192, c_Groups_Oplus__class_Oplus(_375190, _375194, _375196)))]]], (6075 ^ _164577) ^ [] : [-(c_Orderings_Oord__class_Oless(_375190, c_Groups_Oabs__class_Oabs(_375190, c_Groups_Ominus__class_Ominus(_375190, _375192, _375194)), _375196)), c_Orderings_Oord__class_Oless(_375190, c_Groups_Ominus__class_Ominus(_375190, _375194, _375196), _375192), c_Orderings_Oord__class_Oless(_375190, _375192, c_Groups_Oplus__class_Oplus(_375190, _375194, _375196))]]], (6085 ^ _164577) ^ [_375918, _375920, _375922] : [class_Groups_Oordered__ab__group__add__abs(_375918), -(c_Orderings_Oord__class_Oless__eq(_375918, c_Groups_Oabs__class_Oabs(_375918, c_Groups_Ominus__class_Ominus(_375918, _375920, _375922)), c_Groups_Oplus__class_Oplus(_375918, c_Groups_Oabs__class_Oabs(_375918, _375920), c_Groups_Oabs__class_Oabs(_375918, _375922))))], (6091 ^ _164577) ^ [_376196, _376198, _376200, _376202] : [class_Rings_Ocomm__semiring__0(_376196), c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(_376196), c_Polynomial_Osmult(_376196, _376198, _376200), c_Polynomial_OpCons(_376196, _376202, _376200)) = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(_376196)), -(_376200 = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(_376196)))], (6101 ^ _164577) ^ [_376557, _376559] : [class_Groups_Ozero(_376557), 6104 ^ _164577 : [(6105 ^ _164577) ^ [] : [c_Groups_Ozero__class_Ozero(_376557) = _376559, -(_376559 = c_Groups_Ozero__class_Ozero(_376557))], (6111 ^ _164577) ^ [] : [_376559 = c_Groups_Ozero__class_Ozero(_376557), -(c_Groups_Ozero__class_Ozero(_376557) = _376559)]]], (6117 ^ _164577) ^ [_377055, _377057, _377059, _377061] : [class_Groups_Oab__semigroup__mult(_377055), -(hAPP(hAPP(c_Groups_Otimes__class_Otimes(_377055), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_377055), _377057), _377059)), _377061) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_377055), _377057), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_377055), _377059), _377061)))], (6123 ^ _164577) ^ [_377367, _377369, _377371, _377373] : [class_Groups_Oab__semigroup__add(_377367), -(c_Groups_Oplus__class_Oplus(_377367, c_Groups_Oplus__class_Oplus(_377367, _377369, _377371), _377373) = c_Groups_Oplus__class_Oplus(_377367, _377369, c_Groups_Oplus__class_Oplus(_377367, _377371, _377373)))], (6129 ^ _164577) ^ [_377647, _377649, _377651, _377653] : [class_Groups_Ocancel__semigroup__add(_377647), 6132 ^ _164577 : [(6133 ^ _164577) ^ [] : [c_Groups_Oplus__class_Oplus(_377647, _377649, _377651) = c_Groups_Oplus__class_Oplus(_377647, _377649, _377653), -(_377651 = _377653)], (6139 ^ _164577) ^ [] : [_377651 = _377653, -(c_Groups_Oplus__class_Oplus(_377647, _377649, _377651) = c_Groups_Oplus__class_Oplus(_377647, _377649, _377653))]]], (6145 ^ _164577) ^ [_378189, _378191, _378193, _378195] : [class_Groups_Ocancel__semigroup__add(_378189), 6148 ^ _164577 : [(6149 ^ _164577) ^ [] : [c_Groups_Oplus__class_Oplus(_378189, _378191, _378193) = c_Groups_Oplus__class_Oplus(_378189, _378195, _378193), -(_378191 = _378195)], (6155 ^ _164577) ^ [] : [_378191 = _378195, -(c_Groups_Oplus__class_Oplus(_378189, _378191, _378193) = c_Groups_Oplus__class_Oplus(_378189, _378195, _378193))]]], (6161 ^ _164577) ^ [_378731, _378733, _378735, _378737] : [class_Groups_Ocancel__semigroup__add(_378731), c_Groups_Oplus__class_Oplus(_378731, _378733, _378735) = c_Groups_Oplus__class_Oplus(_378731, _378733, _378737), -(_378735 = _378737)], (6171 ^ _164577) ^ [_379092, _379094, _379096, _379098] : [class_Groups_Ocancel__ab__semigroup__add(_379092), c_Groups_Oplus__class_Oplus(_379092, _379094, _379096) = c_Groups_Oplus__class_Oplus(_379092, _379094, _379098), -(_379096 = _379098)], (6181 ^ _164577) ^ [_379453, _379455, _379457, _379459] : [class_Groups_Ocancel__semigroup__add(_379453), c_Groups_Oplus__class_Oplus(_379453, _379455, _379457) = c_Groups_Oplus__class_Oplus(_379453, _379459, _379457), -(_379455 = _379459)], (6191 ^ _164577) ^ [_379786, _379788] : [class_Groups_Oone(_379786), 6194 ^ _164577 : [(6195 ^ _164577) ^ [] : [c_Groups_Oone__class_Oone(_379786) = _379788, -(_379788 = c_Groups_Oone__class_Oone(_379786))], (6201 ^ _164577) ^ [] : [_379788 = c_Groups_Oone__class_Oone(_379786), -(c_Groups_Oone__class_Oone(_379786) = _379788)]]], (6207 ^ _164577) ^ [_380298, _380300, _380302, _380304, _380306] : [class_Groups_Oab__group__add(_380298), c_Groups_Ominus__class_Ominus(_380298, _380300, _380302) = c_Groups_Ominus__class_Ominus(_380298, _380304, _380306), 6214 ^ _164577 : [(6215 ^ _164577) ^ [] : [_380300 = _380302, -(_380304 = _380306)], (6221 ^ _164577) ^ [] : [_380304 = _380306, -(_380300 = _380302)]]], (6227 ^ _164577) ^ [_380935, _380937, _380939] : [class_Groups_Ogroup__add(_380935), 6230 ^ _164577 : [(6231 ^ _164577) ^ [] : [c_Groups_Ouminus__class_Ouminus(_380935, _380937) = c_Groups_Ouminus__class_Ouminus(_380935, _380939), -(_380937 = _380939)], (6237 ^ _164577) ^ [] : [_380937 = _380939, -(c_Groups_Ouminus__class_Ouminus(_380935, _380937) = c_Groups_Ouminus__class_Ouminus(_380935, _380939))]]], (6243 ^ _164577) ^ [_381441, _381443, _381445] : [class_Groups_Ogroup__add(_381441), 6246 ^ _164577 : [(6247 ^ _164577) ^ [] : [c_Groups_Ouminus__class_Ouminus(_381441, _381443) = _381445, -(c_Groups_Ouminus__class_Ouminus(_381441, _381445) = _381443)], (6253 ^ _164577) ^ [] : [c_Groups_Ouminus__class_Ouminus(_381441, _381445) = _381443, -(c_Groups_Ouminus__class_Ouminus(_381441, _381443) = _381445)]]], (6259 ^ _164577) ^ [_381947, _381949, _381951] : [class_Groups_Ogroup__add(_381947), 6262 ^ _164577 : [(6263 ^ _164577) ^ [] : [_381949 = c_Groups_Ouminus__class_Ouminus(_381947, _381951), -(_381951 = c_Groups_Ouminus__class_Ouminus(_381947, _381949))], (6269 ^ _164577) ^ [] : [_381951 = c_Groups_Ouminus__class_Ouminus(_381947, _381949), -(_381949 = c_Groups_Ouminus__class_Ouminus(_381947, _381951))]]], (6275 ^ _164577) ^ [_382439, _382441] : [class_Groups_Ogroup__add(_382439), -(c_Groups_Ouminus__class_Ouminus(_382439, c_Groups_Ouminus__class_Ouminus(_382439, _382441)) = _382441)], (6281 ^ _164577) ^ [_382659, _382661] : [class_Groups_Oordered__ab__group__add__abs(_382659), -(c_Groups_Oabs__class_Oabs(_382659, c_Groups_Oabs__class_Oabs(_382659, _382661)) = c_Groups_Oabs__class_Oabs(_382659, _382661))], (6287 ^ _164577) ^ [_382885, _382887] : [class_Groups_Omonoid__add(_382885), -(c_Groups_Oplus__class_Oplus(_382885, c_Groups_Ozero__class_Ozero(_382885), _382887) = _382887)], (6293 ^ _164577) ^ [_383105, _383107] : [class_Groups_Ocomm__monoid__add(_383105), -(c_Groups_Oplus__class_Oplus(_383105, c_Groups_Ozero__class_Ozero(_383105), _383107) = _383107)], (6299 ^ _164577) ^ [_383325, _383327] : [class_Groups_Olinordered__ab__group__add(_383325), 6302 ^ _164577 : [(6303 ^ _164577) ^ [] : [c_Groups_Ozero__class_Ozero(_383325) = c_Groups_Oplus__class_Oplus(_383325, _383327, _383327), -(_383327 = c_Groups_Ozero__class_Ozero(_383325))], (6309 ^ _164577) ^ [] : [_383327 = c_Groups_Ozero__class_Ozero(_383325), -(c_Groups_Ozero__class_Ozero(_383325) = c_Groups_Oplus__class_Oplus(_383325, _383327, _383327))]]], (6315 ^ _164577) ^ [_383807, _383809] : [class_Groups_Omonoid__add(_383807), -(c_Groups_Oplus__class_Oplus(_383807, _383809, c_Groups_Ozero__class_Ozero(_383807)) = _383809)], (6321 ^ _164577) ^ [_384027, _384029] : [class_Groups_Ocomm__monoid__add(_384027), -(c_Groups_Oplus__class_Oplus(_384027, _384029, c_Groups_Ozero__class_Ozero(_384027)) = _384029)], (6327 ^ _164577) ^ [_384275, _384277, _384279, _384281] : [class_Groups_Oordered__ab__semigroup__add__imp__le(_384275), 6330 ^ _164577 : [(6331 ^ _164577) ^ [] : [c_Orderings_Oord__class_Oless__eq(_384275, c_Groups_Oplus__class_Oplus(_384275, _384277, _384279), c_Groups_Oplus__class_Oplus(_384275, _384281, _384279)), -(c_Orderings_Oord__class_Oless__eq(_384275, _384277, _384281))], (6337 ^ _164577) ^ [] : [c_Orderings_Oord__class_Oless__eq(_384275, _384277, _384281), -(c_Orderings_Oord__class_Oless__eq(_384275, c_Groups_Oplus__class_Oplus(_384275, _384277, _384279), c_Groups_Oplus__class_Oplus(_384275, _384281, _384279)))]]], (6343 ^ _164577) ^ [_384823, _384825, _384827, _384829] : [class_Groups_Oordered__ab__semigroup__add__imp__le(_384823), 6346 ^ _164577 : [(6347 ^ _164577) ^ [] : [c_Orderings_Oord__class_Oless__eq(_384823, c_Groups_Oplus__class_Oplus(_384823, _384825, _384827), c_Groups_Oplus__class_Oplus(_384823, _384825, _384829)), -(c_Orderings_Oord__class_Oless__eq(_384823, _384827, _384829))], (6353 ^ _164577) ^ [] : [c_Orderings_Oord__class_Oless__eq(_384823, _384827, _384829), -(c_Orderings_Oord__class_Oless__eq(_384823, c_Groups_Oplus__class_Oplus(_384823, _384825, _384827), c_Groups_Oplus__class_Oplus(_384823, _384825, _384829)))]]], (6359 ^ _164577) ^ [_385371, _385373, _385375, _385377] : [class_Groups_Oordered__ab__semigroup__add(_385371), c_Orderings_Oord__class_Oless__eq(_385371, _385373, _385375), -(c_Orderings_Oord__class_Oless__eq(_385371, c_Groups_Oplus__class_Oplus(_385371, _385373, _385377), c_Groups_Oplus__class_Oplus(_385371, _385375, _385377)))], (6369 ^ _164577) ^ [_385736, _385738, _385740, _385742] : [class_Groups_Oordered__ab__semigroup__add(_385736), c_Orderings_Oord__class_Oless__eq(_385736, _385738, _385740), -(c_Orderings_Oord__class_Oless__eq(_385736, c_Groups_Oplus__class_Oplus(_385736, _385742, _385738), c_Groups_Oplus__class_Oplus(_385736, _385742, _385740)))], (6379 ^ _164577) ^ [_386115, _386117, _386119, _386121, _386123] : [class_Groups_Oordered__ab__semigroup__add(_386115), c_Orderings_Oord__class_Oless__eq(_386115, _386117, _386119), c_Orderings_Oord__class_Oless__eq(_386115, _386121, _386123), -(c_Orderings_Oord__class_Oless__eq(_386115, c_Groups_Oplus__class_Oplus(_386115, _386117, _386121), c_Groups_Oplus__class_Oplus(_386115, _386119, _386123)))], (6393 ^ _164577) ^ [_386593, _386595, _386597, _386599] : [class_Groups_Oordered__ab__semigroup__add__imp__le(_386593), c_Orderings_Oord__class_Oless__eq(_386593, c_Groups_Oplus__class_Oplus(_386593, _386595, _386597), c_Groups_Oplus__class_Oplus(_386593, _386599, _386597)), -(c_Orderings_Oord__class_Oless__eq(_386593, _386595, _386599))], (6403 ^ _164577) ^ [_386958, _386960, _386962, _386964] : [class_Groups_Oordered__ab__semigroup__add__imp__le(_386958), c_Orderings_Oord__class_Oless__eq(_386958, c_Groups_Oplus__class_Oplus(_386958, _386960, _386962), c_Groups_Oplus__class_Oplus(_386958, _386960, _386964)), -(c_Orderings_Oord__class_Oless__eq(_386958, _386962, _386964))], (6413 ^ _164577) ^ [_387323, _387325, _387327, _387329] : [class_Groups_Oordered__ab__semigroup__add__imp__le(_387323), 6416 ^ _164577 : [(6417 ^ _164577) ^ [] : [c_Orderings_Oord__class_Oless(_387323, c_Groups_Oplus__class_Oplus(_387323, _387325, _387327), c_Groups_Oplus__class_Oplus(_387323, _387329, _387327)), -(c_Orderings_Oord__class_Oless(_387323, _387325, _387329))], (6423 ^ _164577) ^ [] : [c_Orderings_Oord__class_Oless(_387323, _387325, _387329), -(c_Orderings_Oord__class_Oless(_387323, c_Groups_Oplus__class_Oplus(_387323, _387325, _387327), c_Groups_Oplus__class_Oplus(_387323, _387329, _387327)))]]], (6429 ^ _164577) ^ [_387871, _387873, _387875, _387877] : [class_Groups_Oordered__ab__semigroup__add__imp__le(_387871), 6432 ^ _164577 : [(6433 ^ _164577) ^ [] : [c_Orderings_Oord__class_Oless(_387871, c_Groups_Oplus__class_Oplus(_387871, _387873, _387875), c_Groups_Oplus__class_Oplus(_387871, _387873, _387877)), -(c_Orderings_Oord__class_Oless(_387871, _387875, _387877))], (6439 ^ _164577) ^ [] : [c_Orderings_Oord__class_Oless(_387871, _387875, _387877), -(c_Orderings_Oord__class_Oless(_387871, c_Groups_Oplus__class_Oplus(_387871, _387873, _387875), c_Groups_Oplus__class_Oplus(_387871, _387873, _387877)))]]], (6445 ^ _164577) ^ [_388419, _388421, _388423, _388425] : [class_Groups_Oordered__cancel__ab__semigroup__add(_388419), c_Orderings_Oord__class_Oless(_388419, _388421, _388423), -(c_Orderings_Oord__class_Oless(_388419, c_Groups_Oplus__class_Oplus(_388419, _388421, _388425), c_Groups_Oplus__class_Oplus(_388419, _388423, _388425)))], (6455 ^ _164577) ^ [_388784, _388786, _388788, _388790] : [class_Groups_Oordered__cancel__ab__semigroup__add(_388784), c_Orderings_Oord__class_Oless(_388784, _388786, _388788), -(c_Orderings_Oord__class_Oless(_388784, c_Groups_Oplus__class_Oplus(_388784, _388790, _388786), c_Groups_Oplus__class_Oplus(_388784, _388790, _388788)))], (6465 ^ _164577) ^ [_389163, _389165, _389167, _389169, _389171] : [class_Groups_Oordered__cancel__ab__semigroup__add(_389163), c_Orderings_Oord__class_Oless(_389163, _389165, _389167), c_Orderings_Oord__class_Oless(_389163, _389169, _389171), -(c_Orderings_Oord__class_Oless(_389163, c_Groups_Oplus__class_Oplus(_389163, _389165, _389169), c_Groups_Oplus__class_Oplus(_389163, _389167, _389171)))], (6479 ^ _164577) ^ [_389641, _389643, _389645, _389647] : [class_Groups_Oordered__ab__semigroup__add__imp__le(_389641), c_Orderings_Oord__class_Oless(_389641, c_Groups_Oplus__class_Oplus(_389641, _389643, _389645), c_Groups_Oplus__class_Oplus(_389641, _389647, _389645)), -(c_Orderings_Oord__class_Oless(_389641, _389643, _389647))], (6489 ^ _164577) ^ [_390006, _390008, _390010, _390012] : [class_Groups_Oordered__ab__semigroup__add__imp__le(_390006), c_Orderings_Oord__class_Oless(_390006, c_Groups_Oplus__class_Oplus(_390006, _390008, _390010), c_Groups_Oplus__class_Oplus(_390006, _390008, _390012)), -(c_Orderings_Oord__class_Oless(_390006, _390010, _390012))], (6499 ^ _164577) ^ [_390357, _390359, _390361] : [class_Groups_Ogroup__add(_390357), 6502 ^ _164577 : [(6503 ^ _164577) ^ [] : [c_Groups_Ominus__class_Ominus(_390357, _390359, _390361) = c_Groups_Ozero__class_Ozero(_390357), -(_390359 = _390361)], (6509 ^ _164577) ^ [] : [_390359 = _390361, -(c_Groups_Ominus__class_Ominus(_390357, _390359, _390361) = c_Groups_Ozero__class_Ozero(_390357))]]], (6515 ^ _164577) ^ [_390863, _390865, _390867] : [class_Groups_Oab__group__add(_390863), 6518 ^ _164577 : [(6519 ^ _164577) ^ [] : [_390865 = _390867, -(c_Groups_Ominus__class_Ominus(_390863, _390865, _390867) = c_Groups_Ozero__class_Ozero(_390863))], (6525 ^ _164577) ^ [] : [c_Groups_Ominus__class_Ominus(_390863, _390865, _390867) = c_Groups_Ozero__class_Ozero(_390863), -(_390865 = _390867)]]], (6531 ^ _164577) ^ [_391355, _391357] : [class_Groups_Ogroup__add(_391355), -(c_Groups_Ominus__class_Ominus(_391355, _391357, _391357) = c_Groups_Ozero__class_Ozero(_391355))], (6537 ^ _164577) ^ [_391575, _391577] : [class_Groups_Ogroup__add(_391575), -(c_Groups_Ominus__class_Ominus(_391575, _391577, c_Groups_Ozero__class_Ozero(_391575)) = _391577)], (6543 ^ _164577) ^ [_391837, _391839, _391841, _391843, _391845] : [class_Groups_Oordered__ab__group__add(_391837), c_Groups_Ominus__class_Ominus(_391837, _391839, _391841) = c_Groups_Ominus__class_Ominus(_391837, _391843, _391845), 6550 ^ _164577 : [(6551 ^ _164577) ^ [] : [c_Orderings_Oord__class_Oless__eq(_391837, _391839, _391841), -(c_Orderings_Oord__class_Oless__eq(_391837, _391843, _391845))], (6557 ^ _164577) ^ [] : [c_Orderings_Oord__class_Oless__eq(_391837, _391843, _391845), -(c_Orderings_Oord__class_Oless__eq(_391837, _391839, _391841))]]], (6563 ^ _164577) ^ [_392508, _392510, _392512, _392514, _392516] : [class_Groups_Oordered__ab__group__add(_392508), c_Groups_Ominus__class_Ominus(_392508, _392510, _392512) = c_Groups_Ominus__class_Ominus(_392508, _392514, _392516), 6570 ^ _164577 : [(6571 ^ _164577) ^ [] : [c_Orderings_Oord__class_Oless(_392508, _392510, _392512), -(c_Orderings_Oord__class_Oless(_392508, _392514, _392516))], (6577 ^ _164577) ^ [] : [c_Orderings_Oord__class_Oless(_392508, _392514, _392516), -(c_Orderings_Oord__class_Oless(_392508, _392510, _392512))]]], (6583 ^ _164577) ^ [_393137, _393139] : [class_Groups_Omonoid__mult(_393137), -(hAPP(hAPP(c_Groups_Otimes__class_Otimes(_393137), c_Groups_Oone__class_Oone(_393137)), _393139) = _393139)], (6589 ^ _164577) ^ [_393365, _393367] : [class_Groups_Ocomm__monoid__mult(_393365), -(hAPP(hAPP(c_Groups_Otimes__class_Otimes(_393365), c_Groups_Oone__class_Oone(_393365)), _393367) = _393367)], (6595 ^ _164577) ^ [_393593, _393595] : [class_Groups_Omonoid__mult(_393593), -(hAPP(hAPP(c_Groups_Otimes__class_Otimes(_393593), _393595), c_Groups_Oone__class_Oone(_393593)) = _393595)], (6601 ^ _164577) ^ [_393821, _393823] : [class_Groups_Ocomm__monoid__mult(_393821), -(hAPP(hAPP(c_Groups_Otimes__class_Otimes(_393821), _393823), c_Groups_Oone__class_Oone(_393821)) = _393823)], (6607 ^ _164577) ^ [_394049, _394051] : [class_Groups_Olinordered__ab__group__add(_394049), 6610 ^ _164577 : [(6611 ^ _164577) ^ [] : [c_Groups_Ouminus__class_Ouminus(_394049, _394051) = _394051, -(_394051 = c_Groups_Ozero__class_Ozero(_394049))], (6617 ^ _164577) ^ [] : [_394051 = c_Groups_Ozero__class_Ozero(_394049), -(c_Groups_Ouminus__class_Ouminus(_394049, _394051) = _394051)]]], (6623 ^ _164577) ^ [_394522, _394524] : [class_Groups_Ogroup__add(_394522), 6626 ^ _164577 : [(6627 ^ _164577) ^ [] : [c_Groups_Ouminus__class_Ouminus(_394522, _394524) = c_Groups_Ozero__class_Ozero(_394522), -(_394524 = c_Groups_Ozero__class_Ozero(_394522))], (6633 ^ _164577) ^ [] : [_394524 = c_Groups_Ozero__class_Ozero(_394522), -(c_Groups_Ouminus__class_Ouminus(_394522, _394524) = c_Groups_Ozero__class_Ozero(_394522))]]], (6639 ^ _164577) ^ [_395001, _395003] : [class_Groups_Olinordered__ab__group__add(_395001), 6642 ^ _164577 : [(6643 ^ _164577) ^ [] : [_395003 = c_Groups_Ouminus__class_Ouminus(_395001, _395003), -(_395003 = c_Groups_Ozero__class_Ozero(_395001))], (6649 ^ _164577) ^ [] : [_395003 = c_Groups_Ozero__class_Ozero(_395001), -(_395003 = c_Groups_Ouminus__class_Ouminus(_395001, _395003))]]], (6655 ^ _164577) ^ [_395474, _395476] : [class_Groups_Ogroup__add(_395474), 6658 ^ _164577 : [(6659 ^ _164577) ^ [] : [c_Groups_Ozero__class_Ozero(_395474) = c_Groups_Ouminus__class_Ouminus(_395474, _395476), -(c_Groups_Ozero__class_Ozero(_395474) = _395476)], (6665 ^ _164577) ^ [] : [c_Groups_Ozero__class_Ozero(_395474) = _395476, -(c_Groups_Ozero__class_Ozero(_395474) = c_Groups_Ouminus__class_Ouminus(_395474, _395476))]]], (6671 ^ _164577) ^ [_395939] : [class_Groups_Ogroup__add(_395939), -(c_Groups_Ouminus__class_Ouminus(_395939, c_Groups_Ozero__class_Ozero(_395939)) = c_Groups_Ozero__class_Ozero(_395939))], (6677 ^ _164577) ^ [_396169, _396171, _396173] : [class_Groups_Oordered__ab__group__add(_396169), c_Orderings_Oord__class_Oless__eq(_396169, _396171, _396173), -(c_Orderings_Oord__class_Oless__eq(_396169, c_Groups_Ouminus__class_Ouminus(_396169, _396173), c_Groups_Ouminus__class_Ouminus(_396169, _396171)))], (6687 ^ _164577) ^ [_396506, _396508, _396510] : [class_Groups_Oordered__ab__group__add(_396506), 6690 ^ _164577 : [(6691 ^ _164577) ^ [] : [c_Orderings_Oord__class_Oless__eq(_396506, c_Groups_Ouminus__class_Ouminus(_396506, _396508), c_Groups_Ouminus__class_Ouminus(_396506, _396510)), -(c_Orderings_Oord__class_Oless__eq(_396506, _396510, _396508))], (6697 ^ _164577) ^ [] : [c_Orderings_Oord__class_Oless__eq(_396506, _396510, _396508), -(c_Orderings_Oord__class_Oless__eq(_396506, c_Groups_Ouminus__class_Ouminus(_396506, _396508), c_Groups_Ouminus__class_Ouminus(_396506, _396510)))]]], (6703 ^ _164577) ^ [_397018, _397020, _397022] : [class_Groups_Oordered__ab__group__add(_397018), 6706 ^ _164577 : [(6707 ^ _164577) ^ [] : [c_Orderings_Oord__class_Oless__eq(_397018, c_Groups_Ouminus__class_Ouminus(_397018, _397020), _397022), -(c_Orderings_Oord__class_Oless__eq(_397018, c_Groups_Ouminus__class_Ouminus(_397018, _397022), _397020))], (6713 ^ _164577) ^ [] : [c_Orderings_Oord__class_Oless__eq(_397018, c_Groups_Ouminus__class_Ouminus(_397018, _397022), _397020), -(c_Orderings_Oord__class_Oless__eq(_397018, c_Groups_Ouminus__class_Ouminus(_397018, _397020), _397022))]]], (6719 ^ _164577) ^ [_397530, _397532, _397534] : [class_Groups_Oordered__ab__group__add(_397530), 6722 ^ _164577 : [(6723 ^ _164577) ^ [] : [c_Orderings_Oord__class_Oless__eq(_397530, _397532, c_Groups_Ouminus__class_Ouminus(_397530, _397534)), -(c_Orderings_Oord__class_Oless__eq(_397530, _397534, c_Groups_Ouminus__class_Ouminus(_397530, _397532)))], (6729 ^ _164577) ^ [] : [c_Orderings_Oord__class_Oless__eq(_397530, _397534, c_Groups_Ouminus__class_Ouminus(_397530, _397532)), -(c_Orderings_Oord__class_Oless__eq(_397530, _397532, c_Groups_Ouminus__class_Ouminus(_397530, _397534)))]]], (6735 ^ _164577) ^ [_398042, _398044, _398046] : [class_Groups_Ogroup__add(_398042), -(c_Groups_Oplus__class_Oplus(_398042, c_Groups_Ominus__class_Ominus(_398042, _398044, _398046), _398046) = _398044)], (6741 ^ _164577) ^ [_398286, _398288, _398290] : [class_Groups_Ogroup__add(_398286), -(c_Groups_Ominus__class_Ominus(_398286, c_Groups_Oplus__class_Oplus(_398286, _398288, _398290), _398290) = _398288)], (6747 ^ _164577) ^ [_398530, _398532, _398534] : [class_Groups_Oordered__ab__group__add(_398530), 6750 ^ _164577 : [(6751 ^ _164577) ^ [] : [c_Orderings_Oord__class_Oless(_398530, _398532, c_Groups_Ouminus__class_Ouminus(_398530, _398534)), -(c_Orderings_Oord__class_Oless(_398530, _398534, c_Groups_Ouminus__class_Ouminus(_398530, _398532)))], (6757 ^ _164577) ^ [] : [c_Orderings_Oord__class_Oless(_398530, _398534, c_Groups_Ouminus__class_Ouminus(_398530, _398532)), -(c_Orderings_Oord__class_Oless(_398530, _398532, c_Groups_Ouminus__class_Ouminus(_398530, _398534)))]]], (6763 ^ _164577) ^ [_399042, _399044, _399046] : [class_Groups_Oordered__ab__group__add(_399042), 6766 ^ _164577 : [(6767 ^ _164577) ^ [] : [c_Orderings_Oord__class_Oless(_399042, c_Groups_Ouminus__class_Ouminus(_399042, _399044), _399046), -(c_Orderings_Oord__class_Oless(_399042, c_Groups_Ouminus__class_Ouminus(_399042, _399046), _399044))], (6773 ^ _164577) ^ [] : [c_Orderings_Oord__class_Oless(_399042, c_Groups_Ouminus__class_Ouminus(_399042, _399046), _399044), -(c_Orderings_Oord__class_Oless(_399042, c_Groups_Ouminus__class_Ouminus(_399042, _399044), _399046))]]], (6779 ^ _164577) ^ [_399554, _399556, _399558] : [class_Groups_Oordered__ab__group__add(_399554), 6782 ^ _164577 : [(6783 ^ _164577) ^ [] : [c_Orderings_Oord__class_Oless(_399554, c_Groups_Ouminus__class_Ouminus(_399554, _399556), c_Groups_Ouminus__class_Ouminus(_399554, _399558)), -(c_Orderings_Oord__class_Oless(_399554, _399558, _399556))], (6789 ^ _164577) ^ [] : [c_Orderings_Oord__class_Oless(_399554, _399558, _399556), -(c_Orderings_Oord__class_Oless(_399554, c_Groups_Ouminus__class_Ouminus(_399554, _399556), c_Groups_Ouminus__class_Ouminus(_399554, _399558)))]]], (6795 ^ _164577) ^ [_400066, _400068, _400070] : [class_Groups_Oab__group__add(_400066), -(c_Groups_Ouminus__class_Ouminus(_400066, c_Groups_Oplus__class_Oplus(_400066, _400068, _400070)) = c_Groups_Oplus__class_Oplus(_400066, c_Groups_Ouminus__class_Ouminus(_400066, _400068), c_Groups_Ouminus__class_Ouminus(_400066, _400070)))], (6801 ^ _164577) ^ [_400328, _400330, _400332] : [class_Groups_Ogroup__add(_400328), -(c_Groups_Ouminus__class_Ouminus(_400328, c_Groups_Oplus__class_Oplus(_400328, _400330, _400332)) = c_Groups_Oplus__class_Oplus(_400328, c_Groups_Ouminus__class_Ouminus(_400328, _400332), c_Groups_Ouminus__class_Ouminus(_400328, _400330)))], (6807 ^ _164577) ^ [_400590, _400592, _400594] : [class_Groups_Ogroup__add(_400590), -(c_Groups_Oplus__class_Oplus(_400590, _400592, c_Groups_Oplus__class_Oplus(_400590, c_Groups_Ouminus__class_Ouminus(_400590, _400592), _400594)) = _400594)], (6813 ^ _164577) ^ [_400840, _400842, _400844] : [class_Groups_Ogroup__add(_400840), -(c_Groups_Oplus__class_Oplus(_400840, c_Groups_Ouminus__class_Ouminus(_400840, _400842), c_Groups_Oplus__class_Oplus(_400840, _400842, _400844)) = _400844)], (6819 ^ _164577) ^ [_401090, _401092, _401094] : [class_Groups_Oab__group__add(_401090), -(c_Groups_Ouminus__class_Ouminus(_401090, c_Groups_Ominus__class_Ominus(_401090, _401092, _401094)) = c_Groups_Ominus__class_Ominus(_401090, _401094, _401092))], (6825 ^ _164577) ^ [_401326, _401328] : [class_Groups_Oordered__ab__group__add__abs(_401326), 6828 ^ _164577 : [(6829 ^ _164577) ^ [] : [c_Groups_Oabs__class_Oabs(_401326, _401328) = c_Groups_Ozero__class_Ozero(_401326), -(_401328 = c_Groups_Ozero__class_Ozero(_401326))], (6835 ^ _164577) ^ [] : [_401328 = c_Groups_Ozero__class_Ozero(_401326), -(c_Groups_Oabs__class_Oabs(_401326, _401328) = c_Groups_Ozero__class_Ozero(_401326))]]], (6841 ^ _164577) ^ [_401791] : [class_Groups_Oordered__ab__group__add__abs(_401791), -(c_Groups_Oabs__class_Oabs(_401791, c_Groups_Ozero__class_Ozero(_401791)) = c_Groups_Ozero__class_Ozero(_401791))], (6847 ^ _164577) ^ [_402021, _402023, _402025] : [class_Groups_Oordered__ab__group__add__abs(_402021), c_Orderings_Oord__class_Oless__eq(_402021, c_Groups_Oabs__class_Oabs(_402021, _402023), _402025), -(c_Orderings_Oord__class_Oless__eq(_402021, _402023, _402025))], (6857 ^ _164577) ^ [_402338, _402340] : [class_Groups_Oordered__ab__group__add__abs(_402338), -(c_Orderings_Oord__class_Oless__eq(_402338, _402340, c_Groups_Oabs__class_Oabs(_402338, _402340)))], (6863 ^ _164577) ^ [_402568, _402570, _402572] : [class_Groups_Oordered__ab__group__add__abs(_402568), -(c_Groups_Oabs__class_Oabs(_402568, c_Groups_Oplus__class_Oplus(_402568, c_Groups_Oabs__class_Oabs(_402568, _402570), c_Groups_Oabs__class_Oabs(_402568, _402572))) = c_Groups_Oplus__class_Oplus(_402568, c_Groups_Oabs__class_Oabs(_402568, _402570), c_Groups_Oabs__class_Oabs(_402568, _402572)))], (6869 ^ _164577) ^ [_402842, _402844, _402846] : [class_Groups_Oordered__ab__group__add__abs(_402842), -(c_Groups_Oabs__class_Oabs(_402842, c_Groups_Ominus__class_Ominus(_402842, _402844, _402846)) = c_Groups_Oabs__class_Oabs(_402842, c_Groups_Ominus__class_Ominus(_402842, _402846, _402844)))], (6875 ^ _164577) ^ [_403084, _403086] : [class_Groups_Oordered__ab__group__add__abs(_403084), -(c_Groups_Oabs__class_Oabs(_403084, c_Groups_Ouminus__class_Ouminus(_403084, _403086)) = c_Groups_Oabs__class_Oabs(_403084, _403086))], (6881 ^ _164577) ^ [_403324, _403326, _403328] : [class_Groups_Oordered__comm__monoid__add(_403324), c_Orderings_Oord__class_Oless__eq(_403324, _403326, c_Groups_Ozero__class_Ozero(_403324)), c_Orderings_Oord__class_Oless__eq(_403324, _403328, c_Groups_Ozero__class_Ozero(_403324)), -(c_Orderings_Oord__class_Oless__eq(_403324, c_Groups_Oplus__class_Oplus(_403324, _403326, _403328), c_Groups_Ozero__class_Ozero(_403324)))], (6895 ^ _164577) ^ [_403778, _403780, _403782, _403784] : [class_Groups_Oordered__comm__monoid__add(_403778), c_Orderings_Oord__class_Oless__eq(_403778, c_Groups_Ozero__class_Ozero(_403778), _403780), c_Orderings_Oord__class_Oless__eq(_403778, _403782, _403784), -(c_Orderings_Oord__class_Oless__eq(_403778, _403782, c_Groups_Oplus__class_Oplus(_403778, _403784, _403780)))], (6909 ^ _164577) ^ [_404238, _404240, _404242, _404244] : [class_Groups_Oordered__comm__monoid__add(_404238), c_Orderings_Oord__class_Oless__eq(_404238, c_Groups_Ozero__class_Ozero(_404238), _404240), c_Orderings_Oord__class_Oless__eq(_404238, _404242, _404244), -(c_Orderings_Oord__class_Oless__eq(_404238, _404242, c_Groups_Oplus__class_Oplus(_404238, _404240, _404244)))], (6923 ^ _164577) ^ [_404684, _404686, _404688] : [class_Groups_Oordered__comm__monoid__add(_404684), c_Orderings_Oord__class_Oless__eq(_404684, c_Groups_Ozero__class_Ozero(_404684), _404686), c_Orderings_Oord__class_Oless__eq(_404684, c_Groups_Ozero__class_Ozero(_404684), _404688), 6934 ^ _164577 : [(6935 ^ _164577) ^ [] : [c_Groups_Oplus__class_Oplus(_404684, _404686, _404688) = c_Groups_Ozero__class_Ozero(_404684), 6938 ^ _164577 : [(6939 ^ _164577) ^ [] : [-(_404686 = c_Groups_Ozero__class_Ozero(_404684))], (6941 ^ _164577) ^ [] : [-(_404688 = c_Groups_Ozero__class_Ozero(_404684))]]], (6943 ^ _164577) ^ [] : [-(c_Groups_Oplus__class_Oplus(_404684, _404686, _404688) = c_Groups_Ozero__class_Ozero(_404684)), _404686 = c_Groups_Ozero__class_Ozero(_404684), _404688 = c_Groups_Ozero__class_Ozero(_404684)]]], (6953 ^ _164577) ^ [_405564, _405566, _405568] : [class_Groups_Oordered__comm__monoid__add(_405564), c_Orderings_Oord__class_Oless__eq(_405564, c_Groups_Ozero__class_Ozero(_405564), _405566), c_Orderings_Oord__class_Oless__eq(_405564, c_Groups_Ozero__class_Ozero(_405564), _405568), -(c_Orderings_Oord__class_Oless__eq(_405564, c_Groups_Ozero__class_Ozero(_405564), c_Groups_Oplus__class_Oplus(_405564, _405566, _405568)))], (6967 ^ _164577) ^ [_405990, _405992] : [class_Groups_Olinordered__ab__group__add(_405990), 6970 ^ _164577 : [(6971 ^ _164577) ^ [] : [c_Orderings_Oord__class_Oless__eq(_405990, c_Groups_Oplus__class_Oplus(_405990, _405992, _405992), c_Groups_Ozero__class_Ozero(_405990)), -(c_Orderings_Oord__class_Oless__eq(_405990, _405992, c_Groups_Ozero__class_Ozero(_405990)))], (6977 ^ _164577) ^ [] : [c_Orderings_Oord__class_Oless__eq(_405990, _405992, c_Groups_Ozero__class_Ozero(_405990)), -(c_Orderings_Oord__class_Oless__eq(_405990, c_Groups_Oplus__class_Oplus(_405990, _405992, _405992), c_Groups_Ozero__class_Ozero(_405990)))]]], (6983 ^ _164577) ^ [_406478, _406480] : [class_Groups_Olinordered__ab__group__add(_406478), 6986 ^ _164577 : [(6987 ^ _164577) ^ [] : [c_Orderings_Oord__class_Oless__eq(_406478, c_Groups_Ozero__class_Ozero(_406478), c_Groups_Oplus__class_Oplus(_406478, _406480, _406480)), -(c_Orderings_Oord__class_Oless__eq(_406478, c_Groups_Ozero__class_Ozero(_406478), _406480))], (6993 ^ _164577) ^ [] : [c_Orderings_Oord__class_Oless__eq(_406478, c_Groups_Ozero__class_Ozero(_406478), _406480), -(c_Orderings_Oord__class_Oless__eq(_406478, c_Groups_Ozero__class_Ozero(_406478), c_Groups_Oplus__class_Oplus(_406478, _406480, _406480)))]]], (6999 ^ _164577) ^ [_406966, _406968] : [class_Groups_Olinordered__ab__group__add(_406966), 7002 ^ _164577 : [(7003 ^ _164577) ^ [] : [c_Orderings_Oord__class_Oless(_406966, c_Groups_Ozero__class_Ozero(_406966), c_Groups_Oplus__class_Oplus(_406966, _406968, _406968)), -(c_Orderings_Oord__class_Oless(_406966, c_Groups_Ozero__class_Ozero(_406966), _406968))], (7009 ^ _164577) ^ [] : [c_Orderings_Oord__class_Oless(_406966, c_Groups_Ozero__class_Ozero(_406966), _406968), -(c_Orderings_Oord__class_Oless(_406966, c_Groups_Ozero__class_Ozero(_406966), c_Groups_Oplus__class_Oplus(_406966, _406968, _406968)))]]], (7015 ^ _164577) ^ [_407454, _407456] : [class_Groups_Olinordered__ab__group__add(_407454), 7018 ^ _164577 : [(7019 ^ _164577) ^ [] : [c_Orderings_Oord__class_Oless(_407454, c_Groups_Oplus__class_Oplus(_407454, _407456, _407456), c_Groups_Ozero__class_Ozero(_407454)), -(c_Orderings_Oord__class_Oless(_407454, _407456, c_Groups_Ozero__class_Ozero(_407454)))], (7025 ^ _164577) ^ [] : [c_Orderings_Oord__class_Oless(_407454, _407456, c_Groups_Ozero__class_Ozero(_407454)), -(c_Orderings_Oord__class_Oless(_407454, c_Groups_Oplus__class_Oplus(_407454, _407456, _407456), c_Groups_Ozero__class_Ozero(_407454)))]]], (7031 ^ _164577) ^ [_407956, _407958, _407960] : [class_Groups_Oordered__comm__monoid__add(_407956), c_Orderings_Oord__class_Oless(_407956, c_Groups_Ozero__class_Ozero(_407956), _407958), c_Orderings_Oord__class_Oless(_407956, c_Groups_Ozero__class_Ozero(_407956), _407960), -(c_Orderings_Oord__class_Oless(_407956, c_Groups_Ozero__class_Ozero(_407956), c_Groups_Oplus__class_Oplus(_407956, _407958, _407960)))], (7045 ^ _164577) ^ [_408396, _408398, _408400] : [class_Groups_Oordered__comm__monoid__add(_408396), c_Orderings_Oord__class_Oless(_408396, _408398, c_Groups_Ozero__class_Ozero(_408396)), c_Orderings_Oord__class_Oless(_408396, _408400, c_Groups_Ozero__class_Ozero(_408396)), -(c_Orderings_Oord__class_Oless(_408396, c_Groups_Oplus__class_Oplus(_408396, _408398, _408400), c_Groups_Ozero__class_Ozero(_408396)))], (7059 ^ _164577) ^ [_408864, _408866, _408868, _408870, _408872] : [class_Groups_Oordered__cancel__ab__semigroup__add(_408864), c_Orderings_Oord__class_Oless(_408864, _408866, _408868), c_Orderings_Oord__class_Oless__eq(_408864, _408870, _408872), -(c_Orderings_Oord__class_Oless(_408864, c_Groups_Oplus__class_Oplus(_408864, _408866, _408870), c_Groups_Oplus__class_Oplus(_408864, _408868, _408872)))], (7073 ^ _164577) ^ [_409356, _409358, _409360, _409362, _409364] : [class_Groups_Oordered__cancel__ab__semigroup__add(_409356), c_Orderings_Oord__class_Oless__eq(_409356, _409358, _409360), c_Orderings_Oord__class_Oless(_409356, _409362, _409364), -(c_Orderings_Oord__class_Oless(_409356, c_Groups_Oplus__class_Oplus(_409356, _409358, _409362), c_Groups_Oplus__class_Oplus(_409356, _409360, _409364)))], (7087 ^ _164577) ^ [_409820, _409822, _409824] : [class_Groups_Oordered__ab__group__add(_409820), 7090 ^ _164577 : [(7091 ^ _164577) ^ [] : [c_Orderings_Oord__class_Oless__eq(_409820, _409822, _409824), -(c_Orderings_Oord__class_Oless__eq(_409820, c_Groups_Ominus__class_Ominus(_409820, _409822, _409824), c_Groups_Ozero__class_Ozero(_409820)))], (7097 ^ _164577) ^ [] : [c_Orderings_Oord__class_Oless__eq(_409820, c_Groups_Ominus__class_Ominus(_409820, _409822, _409824), c_Groups_Ozero__class_Ozero(_409820)), -(c_Orderings_Oord__class_Oless__eq(_409820, _409822, _409824))]]], (7103 ^ _164577) ^ [_410332, _410334, _410336] : [class_Groups_Oordered__ab__group__add(_410332), 7106 ^ _164577 : [(7107 ^ _164577) ^ [] : [c_Orderings_Oord__class_Oless(_410332, _410334, _410336), -(c_Orderings_Oord__class_Oless(_410332, c_Groups_Ominus__class_Ominus(_410332, _410334, _410336), c_Groups_Ozero__class_Ozero(_410332)))], (7113 ^ _164577) ^ [] : [c_Orderings_Oord__class_Oless(_410332, c_Groups_Ominus__class_Ominus(_410332, _410334, _410336), c_Groups_Ozero__class_Ozero(_410332)), -(c_Orderings_Oord__class_Oless(_410332, _410334, _410336))]]], (7119 ^ _164577) ^ [_410830, _410832] : [class_Groups_Olinordered__ab__group__add(_410830), 7122 ^ _164577 : [(7123 ^ _164577) ^ [] : [c_Orderings_Oord__class_Oless__eq(_410830, c_Groups_Ouminus__class_Ouminus(_410830, _410832), _410832), -(c_Orderings_Oord__class_Oless__eq(_410830, c_Groups_Ozero__class_Ozero(_410830), _410832))], (7129 ^ _164577) ^ [] : [c_Orderings_Oord__class_Oless__eq(_410830, c_Groups_Ozero__class_Ozero(_410830), _410832), -(c_Orderings_Oord__class_Oless__eq(_410830, c_Groups_Ouminus__class_Ouminus(_410830, _410832), _410832))]]], (7135 ^ _164577) ^ [_411309, _411311] : [class_Groups_Oordered__ab__group__add(_411309), 7138 ^ _164577 : [(7139 ^ _164577) ^ [] : [c_Orderings_Oord__class_Oless__eq(_411309, c_Groups_Ouminus__class_Ouminus(_411309, _411311), c_Groups_Ozero__class_Ozero(_411309)), -(c_Orderings_Oord__class_Oless__eq(_411309, c_Groups_Ozero__class_Ozero(_411309), _411311))], (7145 ^ _164577) ^ [] : [c_Orderings_Oord__class_Oless__eq(_411309, c_Groups_Ozero__class_Ozero(_411309), _411311), -(c_Orderings_Oord__class_Oless__eq(_411309, c_Groups_Ouminus__class_Ouminus(_411309, _411311), c_Groups_Ozero__class_Ozero(_411309)))]]], (7151 ^ _164577) ^ [_411794, _411796] : [class_Groups_Olinordered__ab__group__add(_411794), 7154 ^ _164577 : [(7155 ^ _164577) ^ [] : [c_Orderings_Oord__class_Oless__eq(_411794, _411796, c_Groups_Ouminus__class_Ouminus(_411794, _411796)), -(c_Orderings_Oord__class_Oless__eq(_411794, _411796, c_Groups_Ozero__class_Ozero(_411794)))], (7161 ^ _164577) ^ [] : [c_Orderings_Oord__class_Oless__eq(_411794, _411796, c_Groups_Ozero__class_Ozero(_411794)), -(c_Orderings_Oord__class_Oless__eq(_411794, _411796, c_Groups_Ouminus__class_Ouminus(_411794, _411796)))]]], (7167 ^ _164577) ^ [_412273, _412275] : [class_Groups_Oordered__ab__group__add(_412273), 7170 ^ _164577 : [(7171 ^ _164577) ^ [] : [c_Orderings_Oord__class_Oless__eq(_412273, c_Groups_Ozero__class_Ozero(_412273), c_Groups_Ouminus__class_Ouminus(_412273, _412275)), -(c_Orderings_Oord__class_Oless__eq(_412273, _412275, c_Groups_Ozero__class_Ozero(_412273)))], (7177 ^ _164577) ^ [] : [c_Orderings_Oord__class_Oless__eq(_412273, _412275, c_Groups_Ozero__class_Ozero(_412273)), -(c_Orderings_Oord__class_Oless__eq(_412273, c_Groups_Ozero__class_Ozero(_412273), c_Groups_Ouminus__class_Ouminus(_412273, _412275)))]]], (7183 ^ _164577) ^ [_412758, _412760] : [class_Groups_Olinordered__ab__group__add(_412758), 7186 ^ _164577 : [(7187 ^ _164577) ^ [] : [c_Orderings_Oord__class_Oless(_412758, c_Groups_Ouminus__class_Ouminus(_412758, _412760), _412760), -(c_Orderings_Oord__class_Oless(_412758, c_Groups_Ozero__class_Ozero(_412758), _412760))], (7193 ^ _164577) ^ [] : [c_Orderings_Oord__class_Oless(_412758, c_Groups_Ozero__class_Ozero(_412758), _412760), -(c_Orderings_Oord__class_Oless(_412758, c_Groups_Ouminus__class_Ouminus(_412758, _412760), _412760))]]], (7199 ^ _164577) ^ [_413237, _413239] : [class_Groups_Oordered__ab__group__add(_413237), 7202 ^ _164577 : [(7203 ^ _164577) ^ [] : [c_Orderings_Oord__class_Oless(_413237, c_Groups_Ouminus__class_Ouminus(_413237, _413239), c_Groups_Ozero__class_Ozero(_413237)), -(c_Orderings_Oord__class_Oless(_413237, c_Groups_Ozero__class_Ozero(_413237), _413239))], (7209 ^ _164577) ^ [] : [c_Orderings_Oord__class_Oless(_413237, c_Groups_Ozero__class_Ozero(_413237), _413239), -(c_Orderings_Oord__class_Oless(_413237, c_Groups_Ouminus__class_Ouminus(_413237, _413239), c_Groups_Ozero__class_Ozero(_413237)))]]], (7215 ^ _164577) ^ [_413722, _413724] : [class_Groups_Oordered__ab__group__add(_413722), 7218 ^ _164577 : [(7219 ^ _164577) ^ [] : [c_Orderings_Oord__class_Oless(_413722, c_Groups_Ozero__class_Ozero(_413722), c_Groups_Ouminus__class_Ouminus(_413722, _413724)), -(c_Orderings_Oord__class_Oless(_413722, _413724, c_Groups_Ozero__class_Ozero(_413722)))], (7225 ^ _164577) ^ [] : [c_Orderings_Oord__class_Oless(_413722, _413724, c_Groups_Ozero__class_Ozero(_413722)), -(c_Orderings_Oord__class_Oless(_413722, c_Groups_Ozero__class_Ozero(_413722), c_Groups_Ouminus__class_Ouminus(_413722, _413724)))]]], (7231 ^ _164577) ^ [_414221, _414223, _414225] : [class_Groups_Ogroup__add(_414221), c_Groups_Oplus__class_Oplus(_414221, _414223, _414225) = c_Groups_Ozero__class_Ozero(_414221), -(c_Groups_Ouminus__class_Ouminus(_414221, _414223) = _414225)], (7241 ^ _164577) ^ [_414546, _414548] : [class_Groups_Oab__group__add(_414546), -(c_Groups_Oplus__class_Oplus(_414546, c_Groups_Ouminus__class_Ouminus(_414546, _414548), _414548) = c_Groups_Ozero__class_Ozero(_414546))], (7247 ^ _164577) ^ [_414772, _414774] : [class_Groups_Ogroup__add(_414772), -(c_Groups_Oplus__class_Oplus(_414772, c_Groups_Ouminus__class_Ouminus(_414772, _414774), _414774) = c_Groups_Ozero__class_Ozero(_414772))], (7253 ^ _164577) ^ [_415012, _415014, _415016] : [class_Groups_Ogroup__add(_415012), 7256 ^ _164577 : [(7257 ^ _164577) ^ [] : [_415014 = c_Groups_Ouminus__class_Ouminus(_415012, _415016), -(c_Groups_Oplus__class_Oplus(_415012, _415014, _415016) = c_Groups_Ozero__class_Ozero(_415012))], (7263 ^ _164577) ^ [] : [c_Groups_Oplus__class_Oplus(_415012, _415014, _415016) = c_Groups_Ozero__class_Ozero(_415012), -(_415014 = c_Groups_Ouminus__class_Ouminus(_415012, _415016))]]], (7269 ^ _164577) ^ [_415513, _415515] : [class_Groups_Ogroup__add(_415513), -(c_Groups_Oplus__class_Oplus(_415513, _415515, c_Groups_Ouminus__class_Ouminus(_415513, _415515)) = c_Groups_Ozero__class_Ozero(_415513))], (7275 ^ _164577) ^ [_415739, _415741] : [class_Groups_Ogroup__add(_415739), -(c_Groups_Ominus__class_Ominus(_415739, c_Groups_Ozero__class_Ozero(_415739), _415741) = c_Groups_Ouminus__class_Ouminus(_415739, _415741))], (7281 ^ _164577) ^ [_415965, _415967] : [class_Groups_Oordered__ab__group__add__abs(_415965), c_Orderings_Oord__class_Oless__eq(_415965, c_Groups_Ozero__class_Ozero(_415965), _415967), -(c_Groups_Oabs__class_Oabs(_415965, _415967) = _415967)], (7291 ^ _164577) ^ [_416274, _416276] : [class_Groups_Oordered__ab__group__add__abs(_416274), 7294 ^ _164577 : [(7295 ^ _164577) ^ [] : [c_Orderings_Oord__class_Oless__eq(_416274, c_Groups_Oabs__class_Oabs(_416274, _416276), c_Groups_Ozero__class_Ozero(_416274)), -(_416276 = c_Groups_Ozero__class_Ozero(_416274))], (7301 ^ _164577) ^ [] : [_416276 = c_Groups_Ozero__class_Ozero(_416274), -(c_Orderings_Oord__class_Oless__eq(_416274, c_Groups_Oabs__class_Oabs(_416274, _416276), c_Groups_Ozero__class_Ozero(_416274)))]]], (7307 ^ _164577) ^ [_416756, _416758] : [class_Groups_Oordered__ab__group__add__abs(_416756), -(c_Orderings_Oord__class_Oless__eq(_416756, c_Groups_Ozero__class_Ozero(_416756), c_Groups_Oabs__class_Oabs(_416756, _416758)))], (7313 ^ _164577) ^ [_416976, _416978] : [class_Groups_Oordered__ab__group__add__abs(_416976), c_Orderings_Oord__class_Oless(_416976, c_Groups_Ozero__class_Ozero(_416976), _416978), -(c_Groups_Oabs__class_Oabs(_416976, _416978) = _416978)], (7323 ^ _164577) ^ [_417285, _417287] : [class_Groups_Oordered__ab__group__add__abs(_417285), 7326 ^ _164577 : [(7327 ^ _164577) ^ [] : [c_Orderings_Oord__class_Oless(_417285, c_Groups_Ozero__class_Ozero(_417285), c_Groups_Oabs__class_Oabs(_417285, _417287)), _417287 = c_Groups_Ozero__class_Ozero(_417285)], (7333 ^ _164577) ^ [] : [-(_417287 = c_Groups_Ozero__class_Ozero(_417285)), -(c_Orderings_Oord__class_Oless(_417285, c_Groups_Ozero__class_Ozero(_417285), c_Groups_Oabs__class_Oabs(_417285, _417287)))]]], (7339 ^ _164577) ^ [_417769, _417771] : [class_Groups_Oordered__ab__group__add__abs(_417769), c_Orderings_Oord__class_Oless(_417769, c_Groups_Oabs__class_Oabs(_417769, _417771), c_Groups_Ozero__class_Ozero(_417769))], (7345 ^ _164577) ^ [_418004, _418006, _418008] : [class_Groups_Ogroup__add(_418004), -(c_Groups_Ominus__class_Ominus(_418004, _418006, c_Groups_Ouminus__class_Ouminus(_418004, _418008)) = c_Groups_Oplus__class_Oplus(_418004, _418006, _418008))], (7351 ^ _164577) ^ [_418254, _418256, _418258] : [class_Groups_Oab__group__add(_418254), -(c_Groups_Ominus__class_Ominus(_418254, _418256, _418258) = c_Groups_Oplus__class_Oplus(_418254, _418256, c_Groups_Ouminus__class_Ouminus(_418254, _418258)))], (7357 ^ _164577) ^ [_418504, _418506, _418508] : [class_Groups_Ogroup__add(_418504), -(c_Groups_Ominus__class_Ominus(_418504, _418506, _418508) = c_Groups_Oplus__class_Oplus(_418504, _418506, c_Groups_Ouminus__class_Ouminus(_418504, _418508)))], (7363 ^ _164577) ^ [_418754, _418756, _418758] : [class_Groups_Oordered__ab__group__add__abs(_418754), -(c_Orderings_Oord__class_Oless__eq(_418754, c_Groups_Oabs__class_Oabs(_418754, c_Groups_Oplus__class_Oplus(_418754, _418756, _418758)), c_Groups_Oplus__class_Oplus(_418754, c_Groups_Oabs__class_Oabs(_418754, _418756), c_Groups_Oabs__class_Oabs(_418754, _418758))))], (7369 ^ _164577) ^ [_419018, _419020, _419022] : [class_Groups_Oordered__ab__group__add__abs(_419018), -(c_Orderings_Oord__class_Oless__eq(_419018, c_Groups_Ominus__class_Ominus(_419018, c_Groups_Oabs__class_Oabs(_419018, _419020), c_Groups_Oabs__class_Oabs(_419018, _419022)), c_Groups_Oabs__class_Oabs(_419018, c_Groups_Ominus__class_Ominus(_419018, _419022, _419020))))], (7375 ^ _164577) ^ [_419282, _419284, _419286] : [class_Groups_Oordered__ab__group__add__abs(_419282), -(c_Orderings_Oord__class_Oless__eq(_419282, c_Groups_Ominus__class_Ominus(_419282, c_Groups_Oabs__class_Oabs(_419282, _419284), c_Groups_Oabs__class_Oabs(_419282, _419286)), c_Groups_Oabs__class_Oabs(_419282, c_Groups_Ominus__class_Ominus(_419282, _419284, _419286))))], (7381 ^ _164577) ^ [_419546, _419548, _419550] : [class_Groups_Oordered__ab__group__add__abs(_419546), -(c_Orderings_Oord__class_Oless__eq(_419546, c_Groups_Oabs__class_Oabs(_419546, c_Groups_Ominus__class_Ominus(_419546, c_Groups_Oabs__class_Oabs(_419546, _419548), c_Groups_Oabs__class_Oabs(_419546, _419550))), c_Groups_Oabs__class_Oabs(_419546, c_Groups_Ominus__class_Ominus(_419546, _419548, _419550))))], (7387 ^ _164577) ^ [_419816, _419818, _419820] : [class_Groups_Oordered__ab__group__add__abs(_419816), c_Orderings_Oord__class_Oless__eq(_419816, c_Groups_Oabs__class_Oabs(_419816, _419818), _419820), -(c_Orderings_Oord__class_Oless__eq(_419816, c_Groups_Ouminus__class_Ouminus(_419816, _419818), _419820))], (7397 ^ _164577) ^ [_420153, _420155, _420157] : [class_Groups_Oordered__ab__group__add__abs(_420153), c_Orderings_Oord__class_Oless__eq(_420153, _420155, _420157), c_Orderings_Oord__class_Oless__eq(_420153, c_Groups_Ouminus__class_Ouminus(_420153, _420155), _420157), -(c_Orderings_Oord__class_Oless__eq(_420153, c_Groups_Oabs__class_Oabs(_420153, _420155), _420157))], (7411 ^ _164577) ^ [_420585, _420587, _420589] : [class_Groups_Oordered__ab__group__add__abs(_420585), 7414 ^ _164577 : [(7415 ^ _164577) ^ [] : [c_Orderings_Oord__class_Oless__eq(_420585, c_Groups_Oabs__class_Oabs(_420585, _420587), _420589), 7418 ^ _164577 : [(7419 ^ _164577) ^ [] : [-(c_Orderings_Oord__class_Oless__eq(_420585, _420587, _420589))], (7421 ^ _164577) ^ [] : [-(c_Orderings_Oord__class_Oless__eq(_420585, c_Groups_Ouminus__class_Ouminus(_420585, _420587), _420589))]]], (7423 ^ _164577) ^ [] : [-(c_Orderings_Oord__class_Oless__eq(_420585, c_Groups_Oabs__class_Oabs(_420585, _420587), _420589)), c_Orderings_Oord__class_Oless__eq(_420585, _420587, _420589), c_Orderings_Oord__class_Oless__eq(_420585, c_Groups_Ouminus__class_Ouminus(_420585, _420587), _420589)]]], (7433 ^ _164577) ^ [_421250, _421252] : [class_Groups_Oordered__ab__group__add__abs(_421250), -(c_Orderings_Oord__class_Oless__eq(_421250, c_Groups_Ouminus__class_Ouminus(_421250, _421252), c_Groups_Oabs__class_Oabs(_421250, _421252)))], (7439 ^ _164577) ^ [_421486, _421488, _421490] : [class_Groups_Oordered__comm__monoid__add(_421486), c_Orderings_Oord__class_Oless(_421486, c_Groups_Ozero__class_Ozero(_421486), _421488), c_Orderings_Oord__class_Oless__eq(_421486, c_Groups_Ozero__class_Ozero(_421486), _421490), -(c_Orderings_Oord__class_Oless(_421486, c_Groups_Ozero__class_Ozero(_421486), c_Groups_Oplus__class_Oplus(_421486, _421488, _421490)))], (7453 ^ _164577) ^ [_421926, _421928, _421930] : [class_Groups_Oordered__comm__monoid__add(_421926), c_Orderings_Oord__class_Oless__eq(_421926, c_Groups_Ozero__class_Ozero(_421926), _421928), c_Orderings_Oord__class_Oless(_421926, c_Groups_Ozero__class_Ozero(_421926), _421930), -(c_Orderings_Oord__class_Oless(_421926, c_Groups_Ozero__class_Ozero(_421926), c_Groups_Oplus__class_Oplus(_421926, _421928, _421930)))], (7467 ^ _164577) ^ [_422380, _422382, _422384, _422386] : [class_Groups_Oordered__comm__monoid__add(_422380), c_Orderings_Oord__class_Oless(_422380, c_Groups_Ozero__class_Ozero(_422380), _422382), c_Orderings_Oord__class_Oless__eq(_422380, _422384, _422386), -(c_Orderings_Oord__class_Oless(_422380, _422384, c_Groups_Oplus__class_Oplus(_422380, _422382, _422386)))], (7481 ^ _164577) ^ [_422840, _422842, _422844, _422846] : [class_Groups_Oordered__comm__monoid__add(_422840), c_Orderings_Oord__class_Oless__eq(_422840, c_Groups_Ozero__class_Ozero(_422840), _422842), c_Orderings_Oord__class_Oless(_422840, _422844, _422846), -(c_Orderings_Oord__class_Oless(_422840, _422844, c_Groups_Oplus__class_Oplus(_422840, _422842, _422846)))], (7495 ^ _164577) ^ [_423286, _423288, _423290] : [class_Groups_Oordered__comm__monoid__add(_423286), c_Orderings_Oord__class_Oless(_423286, _423288, c_Groups_Ozero__class_Ozero(_423286)), c_Orderings_Oord__class_Oless__eq(_423286, _423290, c_Groups_Ozero__class_Ozero(_423286)), -(c_Orderings_Oord__class_Oless(_423286, c_Groups_Oplus__class_Oplus(_423286, _423288, _423290), c_Groups_Ozero__class_Ozero(_423286)))], (7509 ^ _164577) ^ [_423726, _423728, _423730] : [class_Groups_Oordered__comm__monoid__add(_423726), c_Orderings_Oord__class_Oless__eq(_423726, _423728, c_Groups_Ozero__class_Ozero(_423726)), c_Orderings_Oord__class_Oless(_423726, _423730, c_Groups_Ozero__class_Ozero(_423726)), -(c_Orderings_Oord__class_Oless(_423726, c_Groups_Oplus__class_Oplus(_423726, _423728, _423730), c_Groups_Ozero__class_Ozero(_423726)))], (7523 ^ _164577) ^ [_424152, _424154] : [class_Groups_Oordered__ab__group__add__abs(_424152), c_Orderings_Oord__class_Oless__eq(_424152, _424154, c_Groups_Ozero__class_Ozero(_424152)), -(c_Groups_Oabs__class_Oabs(_424152, _424154) = c_Groups_Ouminus__class_Ouminus(_424152, _424154))], (7533 ^ _164577) ^ [_424467, _424469] : [class_Groups_Oordered__ab__group__add__abs(_424467), -(c_Orderings_Oord__class_Oless__eq(_424467, c_Groups_Ouminus__class_Ouminus(_424467, c_Groups_Oabs__class_Oabs(_424467, _424469)), c_Groups_Ozero__class_Ozero(_424467)))], (7539 ^ _164577) ^ [_424693, _424695] : [class_Groups_Oordered__ab__group__add__abs(_424693), c_Orderings_Oord__class_Oless(_424693, _424695, c_Groups_Ozero__class_Ozero(_424693)), -(c_Groups_Oabs__class_Oabs(_424693, _424695) = c_Groups_Ouminus__class_Ouminus(_424693, _424695))], (7549 ^ _164577) ^ [_425008, _425010] : [class_Groups_Oabs__if(_425008), 7552 ^ _164577 : [(7553 ^ _164577) ^ [] : [c_Orderings_Oord__class_Oless(_425008, _425010, c_Groups_Ozero__class_Ozero(_425008)), -(c_Groups_Oabs__class_Oabs(_425008, _425010) = c_Groups_Ouminus__class_Ouminus(_425008, _425010))], (7559 ^ _164577) ^ [] : [-(c_Orderings_Oord__class_Oless(_425008, _425010, c_Groups_Ozero__class_Ozero(_425008))), -(c_Groups_Oabs__class_Oabs(_425008, _425010) = _425010)]]], (7565 ^ _164577) ^ [_425544, _425546, _425548, _425550, _425552] : [class_Groups_Oordered__ab__group__add__abs(_425544), -(c_Orderings_Oord__class_Oless__eq(_425544, c_Groups_Oabs__class_Oabs(_425544, c_Groups_Ominus__class_Ominus(_425544, c_Groups_Oplus__class_Oplus(_425544, _425546, _425548), c_Groups_Oplus__class_Oplus(_425544, _425550, _425552))), c_Groups_Oplus__class_Oplus(_425544, c_Groups_Oabs__class_Oabs(_425544, c_Groups_Ominus__class_Ominus(_425544, _425546, _425550)), c_Groups_Oabs__class_Oabs(_425544, c_Groups_Ominus__class_Ominus(_425544, _425548, _425552)))))], (7571 ^ _164577) ^ [] : [c_Fundamental__Theorem__Algebra__Mirabelle_Oconstant(tc_Complex_Ocomplex, tc_Complex_Ocomplex, c_Polynomial_Opoly(tc_Complex_Ocomplex, c_Polynomial_OpCons(tc_Complex_Ocomplex, c_Groups_Oone__class_Oone(tc_Complex_Ocomplex), c_Polynomial_Omonom(tc_Complex_Ocomplex, v_a____, c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v_k____, c_Groups_Oone__class_Oone(tc_Nat_Onat))))))], (7573 ^ _164577) ^ [] : [-(c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v_k____, c_Groups_Oone__class_Oone(tc_Nat_Onat)) = c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(tc_Complex_Ocomplex, c_Polynomial_OpCons(tc_Complex_Ocomplex, c_Groups_Oone__class_Oone(tc_Complex_Ocomplex), c_Polynomial_Omonom(tc_Complex_Ocomplex, v_a____, c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v_k____, c_Groups_Oone__class_Oone(tc_Nat_Onat))))))], (7575 ^ _164577) ^ [_425971, _425973, _425975, _425977] : [class_Rings_Ocomm__semiring__0(_425971), -(hAPP(c_Polynomial_Opoly(_425971, c_Polynomial_OpCons(_425971, _425973, _425975)), _425977) = c_Groups_Oplus__class_Oplus(_425971, _425973, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_425971), _425977), hAPP(c_Polynomial_Opoly(_425971, _425975), _425977))))], (7581 ^ _164577) ^ [_426247, _426249] : [-(_426247 = c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)), -(_426249 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), -(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex, c_Groups_Oone__class_Oone(tc_Complex_Ocomplex), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex), _426247), hAPP(hAPP(c_Power_Opower__class_Opower(tc_Complex_Ocomplex), 7588 ^ [_426247, _426249]), _426249)))), c_Groups_Oone__class_Oone(tc_RealDef_Oreal)))], (7592 ^ _164577) ^ [_426697, _426699, _426701, _426703] : [class_Rings_Ocomm__semiring__0(_426697), -(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(_426697)), c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(_426697), _426699, _426701)), _426703) = c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(_426697), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(_426697)), _426699), _426703), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(_426697)), _426701), _426703)))], (7598 ^ _164577) ^ [_427029, _427031, _427033, _427035] : [class_Groups_Ozero(_427029), 7601 ^ _164577 : [(7602 ^ _164577) ^ [] : [c_Polynomial_Omonom(_427029, _427031, _427033) = c_Polynomial_Omonom(_427029, _427035, _427033), -(_427031 = _427035)], (7608 ^ _164577) ^ [] : [_427031 = _427035, -(c_Polynomial_Omonom(_427029, _427031, _427033) = c_Polynomial_Omonom(_427029, _427035, _427033))]]], (7614 ^ _164577) ^ [_427557, _427559, _427561] : [class_Groups_Oab__group__add(_427557), -(c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(_427557), c_Polynomial_Omonom(_427557, _427559, _427561)) = c_Polynomial_Omonom(_427557, c_Groups_Ouminus__class_Ouminus(_427557, _427559), _427561))], (7620 ^ _164577) ^ [_427831, _427833, _427835, _427837] : [class_Groups_Oab__group__add(_427831), -(c_Groups_Ominus__class_Ominus(tc_Polynomial_Opoly(_427831), c_Polynomial_Omonom(_427831, _427833, _427835), c_Polynomial_Omonom(_427831, _427837, _427835)) = c_Polynomial_Omonom(_427831, c_Groups_Ominus__class_Ominus(_427831, _427833, _427837), _427835))], (7626 ^ _164577) ^ [_428123, _428125, _428127, _428129] : [class_Groups_Ocomm__monoid__add(_428123), -(c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(_428123), c_Polynomial_Omonom(_428123, _428125, _428127), c_Polynomial_Omonom(_428123, _428129, _428127)) = c_Polynomial_Omonom(_428123, c_Groups_Oplus__class_Oplus(_428123, _428125, _428129), _428127))], (7632 ^ _164577) ^ [_428429, _428431, _428433, _428435, _428437] : [class_Rings_Ocomm__semiring__0(_428429), -(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(_428429)), c_Polynomial_Omonom(_428429, _428431, _428433)), c_Polynomial_Omonom(_428429, _428435, _428437)) = c_Polynomial_Omonom(_428429, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_428429), _428431), _428435), c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _428433, _428437)))], (7638 ^ _164577) ^ [_428737, _428739, _428741] : [class_Groups_Ozero(_428737), 7641 ^ _164577 : [(7642 ^ _164577) ^ [] : [c_Polynomial_Omonom(_428737, _428739, _428741) = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(_428737)), -(_428739 = c_Groups_Ozero__class_Ozero(_428737))], (7648 ^ _164577) ^ [] : [_428739 = c_Groups_Ozero__class_Ozero(_428737), -(c_Polynomial_Omonom(_428737, _428739, _428741) = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(_428737)))]]], (7654 ^ _164577) ^ [_429241, _429243] : [class_Groups_Ozero(_429241), -(c_Polynomial_Omonom(_429241, c_Groups_Ozero__class_Ozero(_429241), _429243) = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(_429241)))], (7660 ^ _164577) ^ [_429497, _429499, _429501, _429503] : [class_Rings_Ocomm__semiring__0(_429497), -(c_Polynomial_Osmult(_429497, _429499, c_Polynomial_Omonom(_429497, _429501, _429503)) = c_Polynomial_Omonom(_429497, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_429497), _429499), _429501), _429503))], (7666 ^ _164577) ^ [_429785, _429787, _429789, _429791] : [class_Rings_Ocomm__semiring__1(_429785), -(hAPP(c_Polynomial_Opoly(_429785, c_Polynomial_Omonom(_429785, _429787, _429789)), _429791) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_429785), _429787), hAPP(hAPP(c_Power_Opower__class_Opower(_429785), _429791), _429789)))], (7672 ^ _164577) ^ [_430057, _430059] : [class_Groups_Ozero(_430057), -(c_Polynomial_Omonom(_430057, _430059, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Polynomial_OpCons(_430057, _430059, c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(_430057))))], (7678 ^ _164577) ^ [_430303, _430305, _430307] : [class_Int_Oring__char__0(_430303), class_Rings_Oidom(_430303), 7685 ^ _164577 : [(7686 ^ _164577) ^ [] : [c_Polynomial_Opoly(_430303, _430305) = c_Polynomial_Opoly(_430303, _430307), -(_430305 = _430307)], (7692 ^ _164577) ^ [] : [_430305 = _430307, -(c_Polynomial_Opoly(_430303, _430305) = c_Polynomial_Opoly(_430303, _430307))]]], (7698 ^ _164577) ^ [_430874] : [class_Groups_Oab__group__add(_430874), -(c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(_430874), c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(_430874))) = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(_430874)))], (7704 ^ _164577) ^ [_431102, _431104] : [class_Rings_Ocomm__semiring__0(_431102), -(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(_431102)), c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(_431102))), _431104) = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(_431102)))], (7710 ^ _164577) ^ [_431346, _431348] : [class_Groups_Ocomm__monoid__add(_431346), -(c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(_431346), c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(_431346)), _431348) = _431348)], (7716 ^ _164577) ^ [_431574, _431576] : [class_Rings_Ocomm__semiring__0(_431574), -(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(_431574)), _431576), c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(_431574))) = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(_431574)))], (7722 ^ _164577) ^ [_431818, _431820] : [class_Groups_Ocomm__monoid__add(_431818), -(c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(_431818), _431820, c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(_431818))) = _431820)], (7728 ^ _164577) ^ [_432046, _432048] : [class_Groups_Oab__group__add(_432046), -(c_Groups_Ominus__class_Ominus(tc_Polynomial_Opoly(_432046), _432048, c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(_432046))) = _432048)], (7734 ^ _164577) ^ [_432274, _432276] : [class_Groups_Oab__group__add(_432274), -(c_Groups_Ominus__class_Ominus(tc_Polynomial_Opoly(_432274), c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(_432274)), _432276) = c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(_432274), _432276))], (7740 ^ _164577) ^ [_432512, _432514] : [class_Rings_Olinordered__idom(_432512), 7743 ^ _164577 : [(7744 ^ _164577) ^ [] : [c_Orderings_Oord__class_Oless(tc_Polynomial_Opoly(_432512), _432514, c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(_432512))), -(c_Groups_Oabs__class_Oabs(tc_Polynomial_Opoly(_432512), _432514) = c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(_432512), _432514))], (7750 ^ _164577) ^ [] : [-(c_Orderings_Oord__class_Oless(tc_Polynomial_Opoly(_432512), _432514, c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(_432512)))), -(c_Groups_Oabs__class_Oabs(tc_Polynomial_Opoly(_432512), _432514) = _432514)]]], (7756 ^ _164577) ^ [_433076, _433078, _433080, _433082, _433084] : [class_Groups_Ozero(_433076), 7759 ^ _164577 : [(7760 ^ _164577) ^ [] : [c_Polynomial_OpCons(_433076, _433078, _433080) = c_Polynomial_OpCons(_433076, _433082, _433084), 7763 ^ _164577 : [(7764 ^ _164577) ^ [] : [-(_433078 = _433082)], (7766 ^ _164577) ^ [] : [-(_433080 = _433084)]]], (7768 ^ _164577) ^ [] : [-(c_Polynomial_OpCons(_433076, _433078, _433080) = c_Polynomial_OpCons(_433076, _433082, _433084)), _433078 = _433082, _433080 = _433084]]], (7778 ^ _164577) ^ [_433796, _433798, _433800] : [class_Rings_Ocomm__ring(_433796), -(c_Polynomial_Osmult(_433796, _433798, c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(_433796), _433800)) = c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(_433796), c_Polynomial_Osmult(_433796, _433798, _433800)))], (7784 ^ _164577) ^ [_434074, _434076, _434078, _434080] : [class_Rings_Ocomm__semiring__0(_434074), -(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(_434074)), _434076), c_Polynomial_Osmult(_434074, _434078, _434080)) = c_Polynomial_Osmult(_434074, _434078, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(_434074)), _434076), _434080)))], (7790 ^ _164577) ^ [_434378, _434380, _434382, _434384] : [class_Rings_Ocomm__semiring__0(_434378), -(c_Polynomial_Osmult(_434378, _434380, c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(_434378), _434382, _434384)) = c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(_434378), c_Polynomial_Osmult(_434378, _434380, _434382), c_Polynomial_Osmult(_434378, _434380, _434384)))], (7796 ^ _164577) ^ [_434674, _434676, _434678, _434680] : [class_Rings_Ocomm__semiring__0(_434674), -(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(_434674)), c_Polynomial_Osmult(_434674, _434676, _434678)), _434680) = c_Polynomial_Osmult(_434674, _434676, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(_434674)), _434678), _434680)))], (7802 ^ _164577) ^ [_434978, _434980, _434982, _434984] : [class_Rings_Ocomm__ring(_434978), -(c_Polynomial_Osmult(_434978, _434980, c_Groups_Ominus__class_Ominus(tc_Polynomial_Opoly(_434978), _434982, _434984)) = c_Groups_Ominus__class_Ominus(tc_Polynomial_Opoly(_434978), c_Polynomial_Osmult(_434978, _434980, _434982), c_Polynomial_Osmult(_434978, _434980, _434984)))], (7808 ^ _164577) ^ [_435274, _435276, _435278, _435280] : [class_Rings_Ocomm__ring__1(_435274), -(hAPP(c_Polynomial_Opoly(_435274, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(_435274)), c_Polynomial_Omonom(_435274, c_Groups_Oone__class_Oone(_435274), _435276)), _435278)), _435280) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_435274), hAPP(hAPP(c_Power_Opower__class_Opower(_435274), _435280), _435276)), hAPP(c_Polynomial_Opoly(_435274, _435278), _435280)))], (7814 ^ _164577) ^ [_435610, _435612, _435614, _435616] : [class_Rings_Ocomm__semiring__0(_435610), -(hAPP(c_Polynomial_Opoly(_435610, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(_435610)), _435612), _435614)), _435616) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_435610), hAPP(c_Polynomial_Opoly(_435610, _435612), _435616)), hAPP(c_Polynomial_Opoly(_435610, _435614), _435616)))], (7820 ^ _164577) ^ [_435930, _435932, _435934, _435936] : [class_Rings_Ocomm__semiring__0(_435930), -(hAPP(c_Polynomial_Opoly(_435930, c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(_435930), _435932, _435934)), _435936) = c_Groups_Oplus__class_Oplus(_435930, hAPP(c_Polynomial_Opoly(_435930, _435932), _435936), hAPP(c_Polynomial_Opoly(_435930, _435934), _435936)))], (7826 ^ _164577) ^ [_436206, _436208] : [class_Rings_Ocomm__semiring__1(_436206), -(hAPP(c_Polynomial_Opoly(_436206, c_Groups_Oone__class_Oone(tc_Polynomial_Opoly(_436206))), _436208) = c_Groups_Oone__class_Oone(_436206))], (7832 ^ _164577) ^ [_436466, _436468, _436470, _436472] : [class_Rings_Ocomm__ring(_436466), -(hAPP(c_Polynomial_Opoly(_436466, c_Groups_Ominus__class_Ominus(tc_Polynomial_Opoly(_436466), _436468, _436470)), _436472) = c_Groups_Ominus__class_Ominus(_436466, hAPP(c_Polynomial_Opoly(_436466, _436468), _436472), hAPP(c_Polynomial_Opoly(_436466, _436470), _436472)))], (7838 ^ _164577) ^ [_436784, _436786, _436788, _436790, _436792] : [class_Groups_Ocomm__monoid__add(_436784), -(c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(_436784), c_Polynomial_OpCons(_436784, _436786, _436788), c_Polynomial_OpCons(_436784, _436790, _436792)) = c_Polynomial_OpCons(_436784, c_Groups_Oplus__class_Oplus(_436784, _436786, _436790), c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(_436784), _436788, _436792)))], (7844 ^ _164577) ^ [_437094, _437096, _437098, _437100] : [class_Rings_Ocomm__semiring__1(_437094), -(hAPP(c_Polynomial_Opoly(_437094, hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(_437094)), _437096), _437098)), _437100) = hAPP(hAPP(c_Power_Opower__class_Opower(_437094), hAPP(c_Polynomial_Opoly(_437094, _437096), _437100)), _437098))], (7850 ^ _164577) ^ [_437388, _437390, _437392] : [class_Rings_Ocomm__ring(_437388), -(hAPP(c_Polynomial_Opoly(_437388, c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(_437388), _437390)), _437392) = c_Groups_Ouminus__class_Ouminus(_437388, hAPP(c_Polynomial_Opoly(_437388, _437390), _437392)))], (7856 ^ _164577) ^ [_437684, _437686, _437688, _437690, _437692] : [class_Groups_Oab__group__add(_437684), -(c_Groups_Ominus__class_Ominus(tc_Polynomial_Opoly(_437684), c_Polynomial_OpCons(_437684, _437686, _437688), c_Polynomial_OpCons(_437684, _437690, _437692)) = c_Polynomial_OpCons(_437684, c_Groups_Ominus__class_Ominus(_437684, _437686, _437690), c_Groups_Ominus__class_Ominus(tc_Polynomial_Opoly(_437684), _437688, _437692)))], (7862 ^ _164577) ^ [_437994, _437996, _437998, _438000] : [class_Rings_Ocomm__semiring__0(_437994), -(c_Polynomial_Osmult(_437994, _437996, c_Polynomial_Osmult(_437994, _437998, _438000)) = c_Polynomial_Osmult(_437994, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_437994), _437996), _437998), _438000))], (7868 ^ _164577) ^ [_438282, _438284, _438286, _438288] : [class_Rings_Ocomm__semiring__0(_438282), -(c_Polynomial_Osmult(_438282, c_Groups_Oplus__class_Oplus(_438282, _438284, _438286), _438288) = c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(_438282), c_Polynomial_Osmult(_438282, _438284, _438288), c_Polynomial_Osmult(_438282, _438286, _438288)))], (7874 ^ _164577) ^ [_438546, _438548] : [class_Rings_Ocomm__semiring__1(_438546), -(c_Polynomial_Osmult(_438546, c_Groups_Oone__class_Oone(_438546), _438548) = _438548)], (7880 ^ _164577) ^ [_438780, _438782, _438784] : [class_Groups_Oab__group__add(_438780), -(c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(_438780), c_Polynomial_OpCons(_438780, _438782, _438784)) = c_Polynomial_OpCons(_438780, c_Groups_Ouminus__class_Ouminus(_438780, _438782), c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(_438780), _438784)))], (7886 ^ _164577) ^ [_439050, _439052, _439054] : [class_Groups_Oab__group__add(_439050), -(c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(_439050), c_Polynomial_OpCons(_439050, _439052, _439054)) = c_Polynomial_OpCons(_439050, c_Groups_Ouminus__class_Ouminus(_439050, _439052), c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(_439050), _439054)))], (7892 ^ _164577) ^ [_439334, _439336, _439338, _439340] : [class_Rings_Ocomm__ring(_439334), -(c_Polynomial_Osmult(_439334, c_Groups_Ominus__class_Ominus(_439334, _439336, _439338), _439340) = c_Groups_Ominus__class_Ominus(tc_Polynomial_Opoly(_439334), c_Polynomial_Osmult(_439334, _439336, _439340), c_Polynomial_Osmult(_439334, _439338, _439340)))], (7898 ^ _164577) ^ [_439612, _439614, _439616] : [class_Rings_Ocomm__ring(_439612), -(c_Polynomial_Osmult(_439612, c_Groups_Ouminus__class_Ouminus(_439612, _439614), _439616) = c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(_439612), c_Polynomial_Osmult(_439612, _439614, _439616)))], (7904 ^ _164577) ^ [_439858, _439860] : [class_Int_Oring__char__0(_439858), class_Rings_Oidom(_439858), 7911 ^ _164577 : [(7912 ^ _164577) ^ [] : [c_Polynomial_Opoly(_439858, _439860) = c_Polynomial_Opoly(_439858, c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(_439858))), -(_439860 = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(_439858)))], (7918 ^ _164577) ^ [] : [_439860 = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(_439858)), -(c_Polynomial_Opoly(_439858, _439860) = c_Polynomial_Opoly(_439858, c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(_439858))))]]], (7924 ^ _164577) ^ [_440447, _440449] : [class_Rings_Ocomm__semiring__0(_440447), -(c_Polynomial_Osmult(_440447, _440449, c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(_440447))) = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(_440447)))], (7930 ^ _164577) ^ [_440679, _440681] : [class_Rings_Ocomm__semiring__0(_440679), -(hAPP(c_Polynomial_Opoly(_440679, c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(_440679))), _440681) = c_Groups_Ozero__class_Ozero(_440679))], (7936 ^ _164577) ^ [_440897] : [class_Groups_Ozero(_440897), -(c_Polynomial_OpCons(_440897, c_Groups_Ozero__class_Ozero(_440897), c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(_440897))) = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(_440897)))], (7942 ^ _164577) ^ [_441141, _441143, _441145] : [class_Groups_Ozero(_441141), 7945 ^ _164577 : [(7946 ^ _164577) ^ [] : [c_Polynomial_OpCons(_441141, _441143, _441145) = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(_441141)), 7949 ^ _164577 : [(7950 ^ _164577) ^ [] : [-(_441143 = c_Groups_Ozero__class_Ozero(_441141))], (7952 ^ _164577) ^ [] : [-(_441145 = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(_441141)))]]], (7954 ^ _164577) ^ [] : [-(c_Polynomial_OpCons(_441141, _441143, _441145) = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(_441141))), _441143 = c_Groups_Ozero__class_Ozero(_441141), _441145 = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(_441141))]]], (7964 ^ _164577) ^ [_441835, _441837, _441839] : [class_Rings_Oidom(_441835), 7967 ^ _164577 : [(7978 ^ _164577) ^ [] : [7979 ^ _164577 : [(7980 ^ _164577) ^ [] : [_441837 = c_Groups_Ozero__class_Ozero(_441835)], (7982 ^ _164577) ^ [] : [_441839 = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(_441835))]], -(c_Polynomial_Osmult(_441835, _441837, _441839) = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(_441835)))], (7968 ^ _164577) ^ [] : [c_Polynomial_Osmult(_441835, _441837, _441839) = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(_441835)), -(_441837 = c_Groups_Ozero__class_Ozero(_441835)), -(_441839 = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(_441835)))]]], (7986 ^ _164577) ^ [_442515, _442517] : [class_Rings_Ocomm__semiring__0(_442515), -(c_Polynomial_Osmult(_442515, c_Groups_Ozero__class_Ozero(_442515), _442517) = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(_442515)))], (7992 ^ _164577) ^ [_442729] : [class_Rings_Ocomm__semiring__1(_442729), -(c_Groups_Oone__class_Oone(tc_Polynomial_Opoly(_442729)) = c_Polynomial_OpCons(_442729, c_Groups_Oone__class_Oone(_442729), c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(_442729))))], (7998 ^ _164577) ^ [_442987, _442989, _442991, _442993] : [class_Rings_Ocomm__semiring__0(_442987), -(hAPP(c_Polynomial_Opoly(_442987, c_Polynomial_Osmult(_442987, _442989, _442991)), _442993) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_442987), _442989), hAPP(c_Polynomial_Opoly(_442987, _442991), _442993)))], (8004 ^ _164577) ^ [_443283, _443285, _443287, _443289] : [class_Rings_Ocomm__semiring__0(_443283), -(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(_443283)), _443285), c_Polynomial_OpCons(_443283, _443287, _443289)) = c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(_443283), c_Polynomial_Osmult(_443283, _443287, _443285), c_Polynomial_OpCons(_443283, c_Groups_Ozero__class_Ozero(_443283), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(_443283)), _443285), _443289))))], (8010 ^ _164577) ^ [_443611, _443613, _443615, _443617] : [class_Rings_Ocomm__semiring__0(_443611), -(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(_443611)), c_Polynomial_OpCons(_443611, _443613, _443615)), _443617) = c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(_443611), c_Polynomial_Osmult(_443611, _443613, _443617), c_Polynomial_OpCons(_443611, c_Groups_Ozero__class_Ozero(_443611), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(_443611)), _443615), _443617))))], (8016 ^ _164577) ^ [_443939, _443941, _443943, _443945] : [class_Rings_Ocomm__semiring__0(_443939), -(c_Polynomial_Osmult(_443939, _443941, c_Polynomial_OpCons(_443939, _443943, _443945)) = c_Polynomial_OpCons(_443939, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_443939), _443941), _443943), c_Polynomial_Osmult(_443939, _443941, _443945)))], (8022 ^ _164577) ^ [_444235, _444237, _444239, _444241] : [class_Rings_Ocomm__semiring__0(_444235), c_Polynomial_Osmult(_444235, _444237, _444239) = c_Polynomial_OpCons(_444235, _444241, _444239), -(_444239 = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(_444235)))], (8033 ^ _164577) ^ [] : [-(hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex, c_Polynomial_OpCons(tc_Complex_Ocomplex, c_Groups_Oone__class_Oone(tc_Complex_Ocomplex), c_Polynomial_Omonom(tc_Complex_Ocomplex, v_a____, c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v_k____, c_Groups_Oone__class_Oone(tc_Nat_Onat))))), 8031 ^ []) = c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex))], (8035 ^ _164577) ^ [_444683, _444685, _444687] : [class_Rings_Ocomm__ring__1(_444683), -(c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(_444683), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(_444683)), c_Polynomial_OpCons(_444683, c_Groups_Ouminus__class_Ouminus(_444683, _444685), c_Polynomial_OpCons(_444683, c_Groups_Oone__class_Oone(_444683), c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(_444683))))), c_Polynomial_Osynthetic__div(_444683, _444687, _444685)), c_Polynomial_OpCons(_444683, hAPP(c_Polynomial_Opoly(_444683, _444687), _444685), c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(_444683)))) = _444687)], (8051 ^ _164577) ^ [_445296, _445298] : [8052 ^ _164577 : [(8053 ^ _164577) ^ [] : [_445298 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)], (8055 ^ _164577) ^ [] : [c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _445296)]], -(c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), _445296), _445298)))], (8041 ^ _164577) ^ [_445028, _445030] : [c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), _445028), _445030)), -(_445030 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), -(c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _445028))], (8059 ^ _164577) ^ [_445598, _445600] : [class_Rings_Ocomm__semiring__0(_445598), -(c_Polynomial_Osynthetic__div(_445598, c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(_445598)), _445600) = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(_445598)))], (8065 ^ _164577) ^ [_445858, _445860, _445862, _445864] : [class_Rings_Ocomm__semiring__0(_445858), -(c_Polynomial_Osynthetic__div(_445858, c_Polynomial_OpCons(_445858, _445860, _445862), _445864) = c_Polynomial_OpCons(_445858, hAPP(c_Polynomial_Opoly(_445858, _445862), _445864), c_Polynomial_Osynthetic__div(_445858, _445862, _445864)))], (8071 ^ _164577) ^ [_446136, _446138, _446140] : [class_Rings_Ocomm__semiring__0(_446136), -(c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(_446136), _446138, c_Polynomial_Osmult(_446136, _446140, c_Polynomial_Osynthetic__div(_446136, _446138, _446140))) = c_Polynomial_OpCons(_446136, hAPP(c_Polynomial_Opoly(_446136, _446138), _446140), c_Polynomial_Osynthetic__div(_446136, _446138, _446140)))], (8077 ^ _164577) ^ [_446448, _446450, _446452, _446454, _446456] : [class_Rings_Ocomm__semiring__0(_446448), c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(_446448), _446450, c_Polynomial_Osmult(_446448, _446452, _446454)) = c_Polynomial_OpCons(_446448, _446456, _446454), 8084 ^ _164577 : [(8085 ^ _164577) ^ [] : [-(_446456 = hAPP(c_Polynomial_Opoly(_446448, _446450), _446452))], (8087 ^ _164577) ^ [] : [-(_446454 = c_Polynomial_Osynthetic__div(_446448, _446450, _446452))]]], (8089 ^ _164577) ^ [_446919] : [-(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal), _446919), _446919))), -(_446919 = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))], (8095 ^ _164577) ^ [_447092] : [_447092 = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal), _447092), _447092))], (8101 ^ _164577) ^ [_447341, _447343, _447345, _447347] : [class_Rings_Ocomm__semiring__1(_447341), -(hAPP(hAPP(c_Groups_Otimes__class_Otimes(_447341), hAPP(hAPP(c_Power_Opower__class_Opower(_447341), _447343), _447345)), hAPP(hAPP(c_Power_Opower__class_Opower(_447341), _447343), _447347)) = hAPP(hAPP(c_Power_Opower__class_Opower(_447341), _447343), c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _447345, _447347)))], (8107 ^ _164577) ^ [_447633, _447635] : [class_Rings_Ocomm__semiring__1(_447633), -(hAPP(hAPP(c_Power_Opower__class_Opower(_447633), _447635), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Oone__class_Oone(_447633))], (8113 ^ _164577) ^ [_447903, _447905, _447907, _447909, _447911] : [class_Rings_Ocomm__semiring__1(_447903), -(hAPP(hAPP(c_Groups_Otimes__class_Otimes(_447903), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_447903), _447905), _447907)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_447903), _447909), _447911)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_447903), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_447903), _447905), _447909)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_447903), _447907), _447911)))], (8119 ^ _164577) ^ [_448267, _448269, _448271, _448273, _448275] : [class_Rings_Ocomm__semiring__1(_448267), -(hAPP(hAPP(c_Groups_Otimes__class_Otimes(_448267), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_448267), _448269), _448271)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_448267), _448273), _448275)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_448267), _448273), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_448267), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_448267), _448269), _448271)), _448275)))], (8125 ^ _164577) ^ [_448631, _448633, _448635, _448637, _448639] : [class_Rings_Ocomm__semiring__1(_448631), -(hAPP(hAPP(c_Groups_Otimes__class_Otimes(_448631), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_448631), _448633), _448635)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_448631), _448637), _448639)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_448631), _448633), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_448631), _448635), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_448631), _448637), _448639))))], (8131 ^ _164577) ^ [_448981, _448983, _448985, _448987] : [class_Rings_Ocomm__semiring__1(_448981), -(hAPP(hAPP(c_Groups_Otimes__class_Otimes(_448981), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_448981), _448983), _448985)), _448987) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_448981), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_448981), _448983), _448987)), _448985))], (8137 ^ _164577) ^ [_449293, _449295, _449297, _449299] : [class_Rings_Ocomm__semiring__1(_449293), -(hAPP(hAPP(c_Groups_Otimes__class_Otimes(_449293), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_449293), _449295), _449297)), _449299) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_449293), _449295), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_449293), _449297), _449299)))], (8143 ^ _164577) ^ [_449605, _449607, _449609, _449611] : [class_Rings_Ocomm__semiring__1(_449605), -(hAPP(hAPP(c_Groups_Otimes__class_Otimes(_449605), _449607), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_449605), _449609), _449611)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_449605), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_449605), _449607), _449609)), _449611))], (8149 ^ _164577) ^ [_449917, _449919, _449921, _449923] : [class_Rings_Ocomm__semiring__1(_449917), -(hAPP(hAPP(c_Groups_Otimes__class_Otimes(_449917), _449919), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_449917), _449921), _449923)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_449917), _449921), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_449917), _449919), _449923)))], (8155 ^ _164577) ^ [_450215, _450217, _450219] : [class_Rings_Ocomm__semiring__1(_450215), -(hAPP(hAPP(c_Groups_Otimes__class_Otimes(_450215), _450217), _450219) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_450215), _450219), _450217))], (8161 ^ _164577) ^ [_450503, _450505, _450507, _450509, _450511] : [class_Rings_Ocomm__semiring__1(_450503), -(c_Groups_Oplus__class_Oplus(_450503, c_Groups_Oplus__class_Oplus(_450503, _450505, _450507), c_Groups_Oplus__class_Oplus(_450503, _450509, _450511)) = c_Groups_Oplus__class_Oplus(_450503, c_Groups_Oplus__class_Oplus(_450503, _450505, _450509), c_Groups_Oplus__class_Oplus(_450503, _450507, _450511)))], (8167 ^ _164577) ^ [_450805, _450807, _450809, _450811] : [class_Rings_Ocomm__semiring__1(_450805), -(c_Groups_Oplus__class_Oplus(_450805, c_Groups_Oplus__class_Oplus(_450805, _450807, _450809), _450811) = c_Groups_Oplus__class_Oplus(_450805, c_Groups_Oplus__class_Oplus(_450805, _450807, _450811), _450809))], (8173 ^ _164577) ^ [_451085, _451087, _451089, _451091] : [class_Rings_Ocomm__semiring__1(_451085), -(c_Groups_Oplus__class_Oplus(_451085, c_Groups_Oplus__class_Oplus(_451085, _451087, _451089), _451091) = c_Groups_Oplus__class_Oplus(_451085, _451087, c_Groups_Oplus__class_Oplus(_451085, _451089, _451091)))], (8179 ^ _164577) ^ [_451365, _451367, _451369, _451371] : [class_Rings_Ocomm__semiring__1(_451365), -(c_Groups_Oplus__class_Oplus(_451365, _451367, c_Groups_Oplus__class_Oplus(_451365, _451369, _451371)) = c_Groups_Oplus__class_Oplus(_451365, c_Groups_Oplus__class_Oplus(_451365, _451367, _451369), _451371))], (8185 ^ _164577) ^ [_451645, _451647, _451649, _451651] : [class_Rings_Ocomm__semiring__1(_451645), -(c_Groups_Oplus__class_Oplus(_451645, _451647, c_Groups_Oplus__class_Oplus(_451645, _451649, _451651)) = c_Groups_Oplus__class_Oplus(_451645, _451649, c_Groups_Oplus__class_Oplus(_451645, _451647, _451651)))], (8191 ^ _164577) ^ [_451911, _451913, _451915] : [class_Rings_Ocomm__semiring__1(_451911), -(c_Groups_Oplus__class_Oplus(_451911, _451913, _451915) = c_Groups_Oplus__class_Oplus(_451911, _451915, _451913))], (8197 ^ _164577) ^ [_452141, _452143] : [class_Rings_Ocomm__semiring__1(_452141), -(hAPP(hAPP(c_Groups_Otimes__class_Otimes(_452141), _452143), c_Groups_Ozero__class_Ozero(_452141)) = c_Groups_Ozero__class_Ozero(_452141))], (8203 ^ _164577) ^ [_452373, _452375] : [class_Rings_Ocomm__semiring__1(_452373), -(hAPP(hAPP(c_Groups_Otimes__class_Otimes(_452373), c_Groups_Ozero__class_Ozero(_452373)), _452375) = c_Groups_Ozero__class_Ozero(_452373))], (8209 ^ _164577) ^ [_452619, _452621, _452623] : [class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(_452619), 8212 ^ _164577 : [(8213 ^ _164577) ^ [] : [_452621 = c_Groups_Oplus__class_Oplus(_452619, _452621, _452623), -(_452623 = c_Groups_Ozero__class_Ozero(_452619))], (8219 ^ _164577) ^ [] : [_452623 = c_Groups_Ozero__class_Ozero(_452619), -(_452621 = c_Groups_Oplus__class_Oplus(_452619, _452621, _452623))]]], (8225 ^ _164577) ^ [_453111, _453113] : [class_Rings_Ocomm__semiring__1(_453111), -(c_Groups_Oplus__class_Oplus(_453111, _453113, c_Groups_Ozero__class_Ozero(_453111)) = _453113)], (8231 ^ _164577) ^ [_453331, _453333] : [class_Rings_Ocomm__semiring__1(_453331), -(c_Groups_Oplus__class_Oplus(_453331, c_Groups_Ozero__class_Ozero(_453331), _453333) = _453333)], (8237 ^ _164577) ^ [_453593, _453595, _453597, _453599, _453601] : [class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(_453593), 8240 ^ _164577 : [(8251 ^ _164577) ^ [] : [8252 ^ _164577 : [(8253 ^ _164577) ^ [] : [_453595 = _453599], (8255 ^ _164577) ^ [] : [_453597 = _453601]], -(c_Groups_Oplus__class_Oplus(_453593, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_453593), _453595), _453597), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_453593), _453599), _453601)) = c_Groups_Oplus__class_Oplus(_453593, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_453593), _453595), _453601), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_453593), _453599), _453597)))], (8241 ^ _164577) ^ [] : [c_Groups_Oplus__class_Oplus(_453593, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_453593), _453595), _453597), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_453593), _453599), _453601)) = c_Groups_Oplus__class_Oplus(_453593, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_453593), _453595), _453601), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_453593), _453599), _453597)), -(_453595 = _453599), -(_453597 = _453601)]]], (8259 ^ _164577) ^ [_454423, _454425, _454427, _454429] : [class_Rings_Ocomm__semiring__1(_454423), -(c_Groups_Oplus__class_Oplus(_454423, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_454423), _454425), _454427), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_454423), _454429), _454427)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_454423), c_Groups_Oplus__class_Oplus(_454423, _454425, _454429)), _454427))], (8265 ^ _164577) ^ [_454735, _454737, _454739, _454741] : [class_Rings_Ocomm__semiring__1(_454735), -(hAPP(hAPP(c_Groups_Otimes__class_Otimes(_454735), c_Groups_Oplus__class_Oplus(_454735, _454737, _454739)), _454741) = c_Groups_Oplus__class_Oplus(_454735, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_454735), _454737), _454741), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_454735), _454739), _454741)))], (8271 ^ _164577) ^ [_455061, _455063, _455065, _455067, _455069] : [class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(_455061), 8274 ^ _164577 : [(8285 ^ _164577) ^ [] : [-(c_Groups_Oplus__class_Oplus(_455061, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_455061), _455063), _455067), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_455061), _455065), _455069)) = c_Groups_Oplus__class_Oplus(_455061, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_455061), _455063), _455069), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_455061), _455065), _455067))), 8288 ^ _164577 : [(8289 ^ _164577) ^ [] : [_455063 = _455065], (8291 ^ _164577) ^ [] : [_455067 = _455069]]], (8275 ^ _164577) ^ [] : [c_Groups_Oplus__class_Oplus(_455061, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_455061), _455063), _455067), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_455061), _455065), _455069)) = c_Groups_Oplus__class_Oplus(_455061, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_455061), _455063), _455069), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_455061), _455065), _455067)), -(_455063 = _455065), -(_455067 = _455069)]]], (8293 ^ _164577) ^ [_455897, _455899, _455901, _455903] : [class_Rings_Ocomm__semiring__1(_455897), -(hAPP(hAPP(c_Groups_Otimes__class_Otimes(_455897), _455899), c_Groups_Oplus__class_Oplus(_455897, _455901, _455903)) = c_Groups_Oplus__class_Oplus(_455897, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_455897), _455899), _455901), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_455897), _455899), _455903)))], (8299 ^ _164577) ^ [_456181, _456183] : [class_Rings_Ocomm__semiring__1(_456181), -(hAPP(hAPP(c_Groups_Otimes__class_Otimes(_456181), _456183), c_Groups_Oone__class_Oone(_456181)) = _456183)], (8305 ^ _164577) ^ [_456409, _456411] : [class_Rings_Ocomm__semiring__1(_456409), -(hAPP(hAPP(c_Groups_Otimes__class_Otimes(_456409), c_Groups_Oone__class_Oone(_456409)), _456411) = _456411)], (8311 ^ _164577) ^ [_456665, _456667, _456669, _456671] : [class_Rings_Ocomm__semiring__1(_456665), -(hAPP(hAPP(c_Power_Opower__class_Opower(_456665), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_456665), _456667), _456669)), _456671) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_456665), hAPP(hAPP(c_Power_Opower__class_Opower(_456665), _456667), _456671)), hAPP(hAPP(c_Power_Opower__class_Opower(_456665), _456669), _456671)))], (8317 ^ _164577) ^ [_456993, _456995, _456997, _456999] : [class_Rings_Ocomm__semiring__1(_456993), -(hAPP(hAPP(c_Power_Opower__class_Opower(_456993), hAPP(hAPP(c_Power_Opower__class_Opower(_456993), _456995), _456997)), _456999) = hAPP(hAPP(c_Power_Opower__class_Opower(_456993), _456995), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _456997), _456999)))], (8323 ^ _164577) ^ [_457273, _457275] : [class_Rings_Ocomm__semiring__1(_457273), -(hAPP(hAPP(c_Power_Opower__class_Opower(_457273), _457275), c_Groups_Oone__class_Oone(tc_Nat_Onat)) = _457275)], (8329 ^ _164577) ^ [_457553, _457555, _457557, _457559, _457561, _457563] : [class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(_457553), -(_457555 = c_Groups_Ozero__class_Ozero(_457553)), c_Groups_Oplus__class_Oplus(_457553, _457557, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_457553), _457555), _457561)) = c_Groups_Oplus__class_Oplus(_457553, _457559, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_457553), _457555), _457563)), _457557 = _457559, -(_457561 = _457563)], (8347 ^ _164577) ^ [_458173, _458175, _458177] : [class_Rings_Ocomm__semiring__1(_458173), -(c_Groups_Oplus__class_Oplus(_458173, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_458173), _458175), _458177), _458177) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_458173), c_Groups_Oplus__class_Oplus(_458173, _458175, c_Groups_Oone__class_Oone(_458173))), _458177))], (8353 ^ _164577) ^ [_458453, _458455, _458457] : [class_Rings_Ocomm__semiring__1(_458453), -(c_Groups_Oplus__class_Oplus(_458453, _458455, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_458453), _458457), _458455)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_458453), c_Groups_Oplus__class_Oplus(_458453, _458457, c_Groups_Oone__class_Oone(_458453))), _458455))], (8359 ^ _164577) ^ [_458719, _458721] : [class_Rings_Ocomm__semiring__1(_458719), -(c_Groups_Oplus__class_Oplus(_458719, _458721, _458721) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_458719), c_Groups_Oplus__class_Oplus(_458719, c_Groups_Oone__class_Oone(_458719), c_Groups_Oone__class_Oone(_458719))), _458721))], (8365 ^ _164577) ^ [_458967, _458969] : [class_Rings_Ocomm__ring__1(_458967), -(c_Groups_Ouminus__class_Ouminus(_458967, _458969) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_458967), c_Groups_Ouminus__class_Ouminus(_458967, c_Groups_Oone__class_Oone(_458967))), _458969))], (8371 ^ _164577) ^ [_459221, _459223, _459225] : [class_Rings_Ocomm__ring__1(_459221), -(c_Groups_Ominus__class_Ominus(_459221, _459223, _459225) = c_Groups_Oplus__class_Oplus(_459221, _459223, c_Groups_Ouminus__class_Ouminus(_459221, _459225)))], (8377 ^ _164577) ^ [_459485, _459487, _459489, _459491] : [class_Rings_Ocomm__semiring__0(_459485), -(c_Polynomial_Opcompose(_459485, c_Polynomial_OpCons(_459485, _459487, _459489), _459491) = c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(_459485), c_Polynomial_OpCons(_459485, _459487, c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(_459485))), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(_459485)), _459491), c_Polynomial_Opcompose(_459485, _459489, _459491))))], (8383 ^ _164577) ^ [_459777, _459779] : [class_Rings_Olinordered__idom(_459777), 8386 ^ _164577 : [(8387 ^ _164577) ^ [] : [c_Orderings_Oord__class_Oless(_459777, c_Groups_Oplus__class_Oplus(_459777, _459779, _459779), c_Groups_Ozero__class_Ozero(_459777)), -(c_Orderings_Oord__class_Oless(_459777, _459779, c_Groups_Ozero__class_Ozero(_459777)))], (8393 ^ _164577) ^ [] : [c_Orderings_Oord__class_Oless(_459777, _459779, c_Groups_Ozero__class_Ozero(_459777)), -(c_Orderings_Oord__class_Oless(_459777, c_Groups_Oplus__class_Oplus(_459777, _459779, _459779), c_Groups_Ozero__class_Ozero(_459777)))]]], (8399 ^ _164577) ^ [_460251] : [8407 ^ _164577 : [(8408 ^ _164577) ^ [] : [-(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), 8406 ^ [_460251]))], (8410 ^ _164577) ^ [_460611] : [-(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_RealVector_Onorm__class_Onorm(_460251, c_RealVector_Oof__real(_460251, _460611)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal), c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal, _460611)), 8406 ^ [_460251])))]], class_RealVector_Oreal__algebra__1(_460251), class_RealVector_Oreal__normed__vector(_460251)], (8412 ^ _164577) ^ [_460776, _460778, _460780, _460782] : [class_Rings_Ocomm__semiring__0(_460776), -(hAPP(c_Polynomial_Opoly(_460776, c_Polynomial_Opcompose(_460776, _460778, _460780)), _460782) = hAPP(c_Polynomial_Opoly(_460776, _460778), hAPP(c_Polynomial_Opoly(_460776, _460780), _460782)))], (8418 ^ _164577) ^ [_461040, _461042] : [class_Rings_Ocomm__semiring__0(_461040), -(c_Polynomial_Opcompose(_461040, c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(_461040)), _461042) = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(_461040)))], (8434 ^ _164577) ^ [_461574, _461576] : [8435 ^ _164577 : [(8436 ^ _164577) ^ [] : [-(_461574 = c_Groups_Ozero__class_Ozero(tc_Int_Oint))], (8438 ^ _164577) ^ [] : [_461576 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)]], -(c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), c_Groups_Oabs__class_Oabs(tc_Int_Oint, _461574)), _461576)))], (8424 ^ _164577) ^ [_461301, _461303] : [c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), c_Groups_Oabs__class_Oabs(tc_Int_Oint, _461301)), _461303)), _461301 = c_Groups_Ozero__class_Ozero(tc_Int_Oint), -(_461303 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat))], (8442 ^ _164577) ^ [_461882, _461884, _461886] : [-(hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), _461882), c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _461884, _461886)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), _461882), _461884)), hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), _461882), _461886)))], (8444 ^ _164577) ^ [_462020, _462022, _462024] : [-(hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), _462020), _462022)), _462024) = hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), _462020), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _462022), _462024)))], (8446 ^ _164577) ^ [_462155, _462157] : [class_Groups_Olinordered__ab__group__add(_462155), 8449 ^ _164577 : [(8450 ^ _164577) ^ [] : [c_Groups_Oplus__class_Oplus(_462155, _462157, _462157) = c_Groups_Ozero__class_Ozero(_462155), -(_462157 = c_Groups_Ozero__class_Ozero(_462155))], (8456 ^ _164577) ^ [] : [_462157 = c_Groups_Ozero__class_Ozero(_462155), -(c_Groups_Oplus__class_Oplus(_462155, _462157, _462157) = c_Groups_Ozero__class_Ozero(_462155))]]], (8462 ^ _164577) ^ [_462623] : [c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, _462623) = c_Groups_Oone__class_Oone(tc_RealDef_Oreal), -(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex, _462623, c_Groups_Oone__class_Oone(tc_Complex_Ocomplex))), c_Groups_Oone__class_Oone(tc_RealDef_Oreal))), -(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex, _462623, c_Groups_Oone__class_Oone(tc_Complex_Ocomplex))), c_Groups_Oone__class_Oone(tc_RealDef_Oreal))), -(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex, _462623, c_Complex_Oii)), c_Groups_Oone__class_Oone(tc_RealDef_Oreal))), -(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex, _462623, c_Complex_Oii)), c_Groups_Oone__class_Oone(tc_RealDef_Oreal)))], (8480 ^ _164577) ^ [_463169, _463171, _463173] : [class_Rings_Oidom(_463169), 8483 ^ _164577 : [(8494 ^ _164577) ^ [] : [8495 ^ _164577 : [(8496 ^ _164577) ^ [] : [_463171 = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(_463169))], (8498 ^ _164577) ^ [] : [-(c_Polynomial_Oorder(_463169, _463173, _463171) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat))]], -(hAPP(c_Polynomial_Opoly(_463169, _463171), _463173) = c_Groups_Ozero__class_Ozero(_463169))], (8484 ^ _164577) ^ [] : [hAPP(c_Polynomial_Opoly(_463169, _463171), _463173) = c_Groups_Ozero__class_Ozero(_463169), -(_463171 = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(_463169))), c_Polynomial_Oorder(_463169, _463173, _463171) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)]]], (8502 ^ _164577) ^ [_463828] : [-(c_Groups_Oplus__class_Oplus(tc_Int_Oint, _463828, c_Groups_Ozero__class_Ozero(tc_Int_Oint)) = _463828)], (8504 ^ _164577) ^ [_463910] : [-(c_Groups_Oplus__class_Oplus(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _463910) = _463910)], (8506 ^ _164577) ^ [_464006, _464008] : [-(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), c_Groups_Oabs__class_Oabs(tc_Int_Oint, _464006)), _464008)))], (8508 ^ _164577) ^ [_464131] : [c_Orderings_Oord__class_Oless(tc_Int_Oint, _464131, c_Groups_Ozero__class_Ozero(tc_Int_Oint)), -(c_Groups_Oabs__class_Oabs(tc_Int_Oint, _464131) = c_Groups_Ouminus__class_Ouminus(tc_Int_Oint, _464131))], (8514 ^ _164577) ^ [_464301] : [-(c_Orderings_Oord__class_Oless(tc_Int_Oint, _464301, c_Groups_Ozero__class_Ozero(tc_Int_Oint))), -(c_Groups_Oabs__class_Oabs(tc_Int_Oint, _464301) = _464301)], (8520 ^ _164577) ^ [_464547, _464549] : [c_Orderings_Oord__class_Oless(tc_Int_Oint, _464547, _464549), -(c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Groups_Ominus__class_Ominus(tc_Int_Oint, _464547, _464549), c_Groups_Ozero__class_Ozero(tc_Int_Oint)))], (8526 ^ _164577) ^ [_464721, _464723] : [c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Groups_Ominus__class_Ominus(tc_Int_Oint, _464721, _464723), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), -(c_Orderings_Oord__class_Oless(tc_Int_Oint, _464721, _464723))], (8532 ^ _164577) ^ [_464960] : [c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Groups_Oabs__class_Oabs(tc_Int_Oint, _464960), c_Groups_Oone__class_Oone(tc_Int_Oint)), -(_464960 = c_Groups_Ozero__class_Ozero(tc_Int_Oint))], (8538 ^ _164577) ^ [_465124] : [_465124 = c_Groups_Ozero__class_Ozero(tc_Int_Oint), -(c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Groups_Oabs__class_Oabs(tc_Int_Oint, _465124), c_Groups_Oone__class_Oone(tc_Int_Oint)))], (8544 ^ _164577) ^ [_465352, _465354, _465356] : [c_Orderings_Oord__class_Oless(tc_Int_Oint, _465352, _465354), c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _465356), -(c_Orderings_Oord__class_Oless(tc_Int_Oint, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _465356), _465352), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _465356), _465354)))], (8554 ^ _164577) ^ [_465691, _465693] : [c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _465691), 8557 ^ _164577 : [(8558 ^ _164577) ^ [] : [hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _465691), _465693) = c_Groups_Oone__class_Oone(tc_Int_Oint), 8561 ^ _164577 : [(8562 ^ _164577) ^ [] : [-(_465691 = c_Groups_Oone__class_Oone(tc_Int_Oint))], (8564 ^ _164577) ^ [] : [-(_465693 = c_Groups_Oone__class_Oone(tc_Int_Oint))]]], (8566 ^ _164577) ^ [] : [-(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _465691), _465693) = c_Groups_Oone__class_Oone(tc_Int_Oint)), _465691 = c_Groups_Oone__class_Oone(tc_Int_Oint), _465693 = c_Groups_Oone__class_Oone(tc_Int_Oint)]]], (8576 ^ _164577) ^ [_466344] : [c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _466344), -(c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _466344))], (8582 ^ _164577) ^ [_466504] : [c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _466504), -(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _466504))], (8588 ^ _164577) ^ [] : [-(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint)) = c_Groups_Ozero__class_Ozero(tc_Int_Oint))], (8590 ^ _164577) ^ [] : [-(c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), c_Groups_Oone__class_Oone(tc_Int_Oint)))], (8592 ^ _164577) ^ [] : [c_Groups_Ozero__class_Ozero(tc_Int_Oint) = c_Groups_Oone__class_Oone(tc_Int_Oint)], (8594 ^ _164577) ^ [_466843] : [-(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), c_Groups_Oone__class_Oone(tc_Int_Oint)), _466843) = _466843)], (8596 ^ _164577) ^ [_466924] : [-(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _466924), c_Groups_Oone__class_Oone(tc_Int_Oint)) = _466924)], (8598 ^ _164577) ^ [_467022, _467024] : [-(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _467022), _467024) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _467024), _467022))], (8600 ^ _164577) ^ [_467172, _467174] : [c_Orderings_Oord__class_Oless(tc_Int_Oint, _467172, _467174), 8603 ^ _164577 : [(8604 ^ _164577) ^ [] : [-(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _467172, _467174))], (8606 ^ _164577) ^ [] : [_467172 = _467174]]], (8608 ^ _164577) ^ [_467414, _467416] : [-(c_Orderings_Oord__class_Oless(tc_Int_Oint, _467414, _467416)), c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _467414, _467416), -(_467414 = _467416)], (8618 ^ _164577) ^ [_467722, _467724] : [-(c_Orderings_Oord__class_Oless(tc_Int_Oint, _467722, _467724)), -(_467722 = _467724), -(c_Orderings_Oord__class_Oless(tc_Int_Oint, _467724, _467722))], (8628 ^ _164577) ^ [_468012, _468014] : [-(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), c_Groups_Ouminus__class_Ouminus(tc_Int_Oint, _468012)), _468014) = c_Groups_Ouminus__class_Ouminus(tc_Int_Oint, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _468012), _468014)))], (8630 ^ _164577) ^ [_468138, _468140, _468142] : [-(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _468138), _468140)), _468142) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _468138), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _468140), _468142)))], (8632 ^ _164577) ^ [_468273, _468275] : [c_Groups_Oabs__class_Oabs(tc_Int_Oint, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _468273), _468275)) = c_Groups_Oone__class_Oone(tc_Int_Oint), -(c_Groups_Oabs__class_Oabs(tc_Int_Oint, _468273) = c_Groups_Oone__class_Oone(tc_Int_Oint))], (8638 ^ _164577) ^ [_468506, _468508, _468510] : [-(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), c_Groups_Ominus__class_Ominus(tc_Int_Oint, _468506, _468508)), _468510) = c_Groups_Ominus__class_Ominus(tc_Int_Oint, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _468506), _468510), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _468508), _468510)))], (8640 ^ _164577) ^ [_468642, _468644, _468646] : [-(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _468642), c_Groups_Ominus__class_Ominus(tc_Int_Oint, _468644, _468646)) = c_Groups_Ominus__class_Ominus(tc_Int_Oint, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _468642), _468644), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _468642), _468646)))], (8642 ^ _164577) ^ [_468808, _468810] : [c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _468808, c_Groups_Ominus__class_Ominus(tc_Int_Oint, _468810, c_Groups_Oone__class_Oone(tc_Int_Oint))), -(c_Orderings_Oord__class_Oless(tc_Int_Oint, _468808, _468810))], (8648 ^ _164577) ^ [_468982, _468984] : [c_Orderings_Oord__class_Oless(tc_Int_Oint, _468982, _468984), -(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _468982, c_Groups_Ominus__class_Ominus(tc_Int_Oint, _468984, c_Groups_Oone__class_Oone(tc_Int_Oint))))], (8654 ^ _164577) ^ [_469234, _469236, _469238, _469240] : [c_Orderings_Oord__class_Oless(tc_Int_Oint, _469234, _469236), c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _469238, _469240), -(c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Groups_Oplus__class_Oplus(tc_Int_Oint, _469234, _469238), c_Groups_Oplus__class_Oplus(tc_Int_Oint, _469236, _469240)))], (8664 ^ _164577) ^ [_469589, _469591, _469593] : [c_Orderings_Oord__class_Oless(tc_Int_Oint, _469589, _469591), -(c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Groups_Oplus__class_Oplus(tc_Int_Oint, _469589, _469593), c_Groups_Oplus__class_Oplus(tc_Int_Oint, _469591, _469593)))], (8670 ^ _164577) ^ [_469825, _469827] : [c_Orderings_Oord__class_Oless(tc_Int_Oint, _469825, _469827), -(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Groups_Oplus__class_Oplus(tc_Int_Oint, _469825, c_Groups_Oone__class_Oone(tc_Int_Oint)), _469827))], (8676 ^ _164577) ^ [_470046, _470048, _470050] : [-(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), c_Groups_Oplus__class_Oplus(tc_Int_Oint, _470046, _470048)), _470050) = c_Groups_Oplus__class_Oplus(tc_Int_Oint, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _470046), _470050), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _470048), _470050)))], (8678 ^ _164577) ^ [_470212, _470214] : [c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Groups_Oplus__class_Oplus(tc_Int_Oint, _470212, c_Groups_Oone__class_Oone(tc_Int_Oint)), _470214), -(c_Orderings_Oord__class_Oless(tc_Int_Oint, _470212, _470214))], (8684 ^ _164577) ^ [_470386, _470388] : [c_Orderings_Oord__class_Oless(tc_Int_Oint, _470386, _470388), -(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Groups_Oplus__class_Oplus(tc_Int_Oint, _470386, c_Groups_Oone__class_Oone(tc_Int_Oint)), _470388))], (8690 ^ _164577) ^ [_470609, _470611, _470613] : [-(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _470609), c_Groups_Oplus__class_Oplus(tc_Int_Oint, _470611, _470613)) = c_Groups_Oplus__class_Oplus(tc_Int_Oint, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _470609), _470611), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _470609), _470613)))], (8702 ^ _164577) ^ [_471039, _471041] : [8703 ^ _164577 : [(8704 ^ _164577) ^ [] : [c_Orderings_Oord__class_Oless(tc_Int_Oint, _471039, _471041)], (8706 ^ _164577) ^ [] : [_471039 = _471041]], -(c_Orderings_Oord__class_Oless(tc_Int_Oint, _471039, c_Groups_Oplus__class_Oplus(tc_Int_Oint, _471041, c_Groups_Oone__class_Oone(tc_Int_Oint))))], (8692 ^ _164577) ^ [_470775, _470777] : [c_Orderings_Oord__class_Oless(tc_Int_Oint, _470775, c_Groups_Oplus__class_Oplus(tc_Int_Oint, _470777, c_Groups_Oone__class_Oone(tc_Int_Oint))), -(c_Orderings_Oord__class_Oless(tc_Int_Oint, _470775, _470777)), -(_470775 = _470777)], (8710 ^ _164577) ^ [_471366, _471368] : [c_Orderings_Oord__class_Oless(tc_Int_Oint, _471366, c_Groups_Oplus__class_Oplus(tc_Int_Oint, _471368, c_Groups_Oone__class_Oone(tc_Int_Oint))), -(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _471366, _471368))], (8716 ^ _164577) ^ [_471540, _471542] : [c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _471540, _471542), -(c_Orderings_Oord__class_Oless(tc_Int_Oint, _471540, c_Groups_Oplus__class_Oplus(tc_Int_Oint, _471542, c_Groups_Oone__class_Oone(tc_Int_Oint))))], (8722 ^ _164577) ^ [_471734] : [c_Groups_Oplus__class_Oplus(tc_Int_Oint, c_Groups_Oplus__class_Oplus(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _471734), _471734) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)], (8724 ^ _164577) ^ [_471820] : [-(c_Groups_Oplus__class_Oplus(tc_Int_Oint, c_Groups_Ouminus__class_Ouminus(tc_Int_Oint, _471820), _471820) = c_Groups_Ozero__class_Ozero(tc_Int_Oint))], (8726 ^ _164577) ^ [_471949] : [c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Groups_Oplus__class_Oplus(tc_Int_Oint, c_Groups_Oplus__class_Oplus(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _471949), _471949), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), -(c_Orderings_Oord__class_Oless(tc_Int_Oint, _471949, c_Groups_Ozero__class_Ozero(tc_Int_Oint)))], (8732 ^ _164577) ^ [_472125] : [c_Orderings_Oord__class_Oless(tc_Int_Oint, _472125, c_Groups_Ozero__class_Ozero(tc_Int_Oint)), -(c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Groups_Oplus__class_Oplus(tc_Int_Oint, c_Groups_Oplus__class_Oplus(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _472125), _472125), c_Groups_Ozero__class_Ozero(tc_Int_Oint)))], (8738 ^ _164577) ^ [_472337] : [c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _472337), -(c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), c_Groups_Oplus__class_Oplus(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _472337)))], (8744 ^ _164577) ^ [] : [c_Complex_Oii = c_Groups_Oone__class_Oone(tc_Complex_Ocomplex)], (8746 ^ _164577) ^ [] : [c_Complex_Oii = c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)], (8748 ^ _164577) ^ [_472628] : [-(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex), c_Complex_Oii), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex), c_Complex_Oii), _472628)) = c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex, _472628))], (8750 ^ _164577) ^ [] : [-(c_Rings_Oinverse__class_Oinverse(tc_Complex_Ocomplex, c_Complex_Oii) = c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex, c_Complex_Oii))], (8752 ^ _164577) ^ [] : [-(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex), c_Complex_Oii), c_Complex_Oii) = c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex, c_Groups_Oone__class_Oone(tc_Complex_Ocomplex)))], (8754 ^ _164577) ^ [_472864, _472866, _472868] : [c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _472864), -(c_Orderings_Oord__class_Oless(tc_Int_Oint, _472866, c_Groups_Oplus__class_Oplus(tc_Int_Oint, _472868, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), c_Groups_Oplus__class_Oplus(tc_Int_Oint, c_Groups_Oabs__class_Oabs(tc_Int_Oint, c_Groups_Ominus__class_Ominus(tc_Int_Oint, _472868, _472866)), c_Groups_Oone__class_Oone(tc_Int_Oint))), _472864))))], (8760 ^ _164577) ^ [_473140, _473142, _473144] : [c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _473140), -(c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Groups_Ominus__class_Ominus(tc_Int_Oint, _473142, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), c_Groups_Oplus__class_Oplus(tc_Int_Oint, c_Groups_Oabs__class_Oabs(tc_Int_Oint, c_Groups_Ominus__class_Ominus(tc_Int_Oint, _473142, _473144)), c_Groups_Oone__class_Oone(tc_Int_Oint))), _473140)), _473144))], (8766 ^ _164577) ^ [_473387, _473389] : [-(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint, c_Groups_Oplus__class_Oplus(tc_Int_Oint, _473387, _473389)) = c_Groups_Oplus__class_Oplus(tc_Int_Oint, c_Groups_Ouminus__class_Ouminus(tc_Int_Oint, _473387), c_Groups_Ouminus__class_Ouminus(tc_Int_Oint, _473389)))], (8768 ^ _164577) ^ [_473498, _473500] : [-(c_Groups_Oplus__class_Oplus(tc_Int_Oint, _473498, c_Groups_Ouminus__class_Ouminus(tc_Int_Oint, _473500)) = c_Groups_Ominus__class_Ominus(tc_Int_Oint, _473498, _473500))], (8770 ^ _164577) ^ [_473603, _473605] : [-(c_Groups_Ominus__class_Ominus(tc_Int_Oint, _473603, _473605) = c_Groups_Oplus__class_Oplus(tc_Int_Oint, _473603, c_Groups_Ouminus__class_Ouminus(tc_Int_Oint, _473605)))], (8772 ^ _164577) ^ [_473694] : [-(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint, c_Groups_Ouminus__class_Ouminus(tc_Int_Oint, _473694)) = _473694)], (8774 ^ _164577) ^ [_473778] : [-(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _473778, _473778))], (8776 ^ _164577) ^ [_473886, _473888] : [-(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _473886, _473888)), -(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _473888, _473886))], (8782 ^ _164577) ^ [_474115, _474117, _474119] : [c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _474115, _474117), c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _474117, _474119), -(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _474115, _474119))], (8792 ^ _164577) ^ [_474430, _474432] : [c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _474430, _474432), c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _474432, _474430), -(_474430 = _474432)], (8802 ^ _164577) ^ [_474747, _474749, _474751] : [c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _474747, _474749), -(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Groups_Oplus__class_Oplus(tc_Int_Oint, _474751, _474747), c_Groups_Oplus__class_Oplus(tc_Int_Oint, _474751, _474749)))], (8808 ^ _164577) ^ [_474982, _474984, _474986] : [-(c_Groups_Oplus__class_Oplus(tc_Int_Oint, c_Groups_Oplus__class_Oplus(tc_Int_Oint, _474982, _474984), _474986) = c_Groups_Oplus__class_Oplus(tc_Int_Oint, _474982, c_Groups_Oplus__class_Oplus(tc_Int_Oint, _474984, _474986)))], (8810 ^ _164577) ^ [_475108, _475110, _475112] : [-(c_Groups_Oplus__class_Oplus(tc_Int_Oint, _475108, c_Groups_Oplus__class_Oplus(tc_Int_Oint, _475110, _475112)) = c_Groups_Oplus__class_Oplus(tc_Int_Oint, _475110, c_Groups_Oplus__class_Oplus(tc_Int_Oint, _475108, _475112)))], (8812 ^ _164577) ^ [_475220, _475222] : [-(c_Groups_Oplus__class_Oplus(tc_Int_Oint, _475220, _475222) = c_Groups_Oplus__class_Oplus(tc_Int_Oint, _475222, _475220))], (8814 ^ _164577) ^ [_475351, _475353, _475355] : [c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _475351), _475351 = c_Groups_Oplus__class_Oplus(tc_Int_Oint, _475353, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _475351), _475355)), c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _475353), -(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _475355, c_Groups_Oone__class_Oone(tc_Int_Oint)))], (8828 ^ _164577) ^ [_475793, _475795, _475797] : [c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _475793), _475793 = c_Groups_Oplus__class_Oplus(tc_Int_Oint, _475795, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _475793), _475797)), c_Orderings_Oord__class_Oless(tc_Int_Oint, _475795, _475793), -(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _475797))], (8842 ^ _164577) ^ [_476277, _476279, _476281, _476283, _476285, _476287] : [c_Groups_Oplus__class_Oplus(tc_Int_Oint, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _476277), _476279), _476281) = c_Groups_Oplus__class_Oplus(tc_Int_Oint, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _476283), _476285), _476287), c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Groups_Oplus__class_Oplus(tc_Int_Oint, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _476283), _476285), _476287), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), c_Orderings_Oord__class_Oless(tc_Int_Oint, _476281, _476277), c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _476287), c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _476283), c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _476283, _476277), -(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _476285, _476279))], (8868 ^ _164577) ^ [_477150, _477152, _477154, _477156, _477158] : [c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Groups_Oplus__class_Oplus(tc_Int_Oint, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _477150), _477152), _477154), c_Groups_Oplus__class_Oplus(tc_Int_Oint, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _477150), _477156), _477158)), c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _477158, c_Groups_Ozero__class_Ozero(tc_Int_Oint)), c_Orderings_Oord__class_Oless(tc_Int_Oint, _477150, _477158), c_Orderings_Oord__class_Oless(tc_Int_Oint, _477150, _477154), -(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _477156, _477152))], (8886 ^ _164577) ^ [_477787, _477789, _477791, _477793, _477795, _477797] : [c_Groups_Oplus__class_Oplus(tc_Int_Oint, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _477787), _477789), _477791) = c_Groups_Oplus__class_Oplus(tc_Int_Oint, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _477793), _477795), _477797), c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), c_Groups_Oplus__class_Oplus(tc_Int_Oint, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _477793), _477795), _477797)), c_Orderings_Oord__class_Oless(tc_Int_Oint, _477797, _477793), c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _477791), c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _477793), c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _477793, _477787), -(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _477789, _477795))], (8912 ^ _164577) ^ [_478660, _478662, _478664, _478666, _478668] : [c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Groups_Oplus__class_Oplus(tc_Int_Oint, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _478660), _478662), _478664), c_Groups_Oplus__class_Oplus(tc_Int_Oint, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _478660), _478666), _478668)), c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _478664), c_Orderings_Oord__class_Oless(tc_Int_Oint, _478664, _478660), c_Orderings_Oord__class_Oless(tc_Int_Oint, _478668, _478660), -(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _478662, _478666))], (8930 ^ _164577) ^ [_479255, _479257, _479259] : [c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Groups_Oplus__class_Oplus(tc_Int_Oint, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _479255), _479257), _479259), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _479259), c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _479255), -(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _479257, c_Groups_Ozero__class_Ozero(tc_Int_Oint)))], (8944 ^ _164577) ^ [_479699, _479701, _479703] : [c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), c_Groups_Oplus__class_Oplus(tc_Int_Oint, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _479699), _479701), _479703)), c_Orderings_Oord__class_Oless(tc_Int_Oint, _479703, _479699), c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _479699), -(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _479701))], (8958 ^ _164577) ^ [_480129, _480131] : [c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _480129), -(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), _480129), _480131)))], (8964 ^ _164577) ^ [_480355, _480357] : [c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _480355), c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _480357), -(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _480355), _480357)))], (8974 ^ _164577) ^ [] : [-(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)))], (8976 ^ _164577) ^ [] : [-(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), c_Groups_Oone__class_Oone(tc_Int_Oint)))], (8978 ^ _164577) ^ [_480778, _480780] : [c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _480778), c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _480780), -(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), c_Groups_Oplus__class_Oplus(tc_Int_Oint, _480778, _480780)))], (8989 ^ _164577) ^ [] : [-(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), 8987 ^ []))], (8991 ^ _164577) ^ [_481198] : [c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, _481198), c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v_w____)), -(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex, v_s____), _481198)), 8987 ^ []))], (8997 ^ _164577) ^ [_481426, _481428] : [class_Orderings_Opreorder(_481426), -(c_Orderings_Oord__class_Oless__eq(_481426, _481428, _481428))], (9003 ^ _164577) ^ [_481664, _481666, _481668, _481670] : [class_Orderings_Oord(_481664), 9006 ^ _164577 : [(9007 ^ _164577) ^ [] : [c_Orderings_Oord__class_Oless__eq(tc_fun(_481666, _481664), _481668, _481670), 9010 ^ _164577 : [(9011 ^ _164577) ^ [_481923] : [-(c_Orderings_Oord__class_Oless__eq(_481664, hAPP(_481668, _481923), hAPP(_481670, _481923)))]]], (9013 ^ _164577) ^ [] : [c_Orderings_Oord__class_Oless__eq(_481664, hAPP(_481668, 9014 ^ [_481664, _481666, _481668, _481670]), hAPP(_481670, 9014 ^ [_481664, _481666, _481668, _481670])), -(c_Orderings_Oord__class_Oless__eq(tc_fun(_481666, _481664), _481668, _481670))]]], (9020 ^ _164577) ^ [_482305, _482307, _482309] : [class_Orderings_Olinorder(_482305), -(c_Orderings_Oord__class_Oless__eq(_482305, _482307, _482309)), -(c_Orderings_Oord__class_Oless__eq(_482305, _482309, _482307))], (9030 ^ _164577) ^ [_482631, _482633, _482635] : [class_Orderings_Oorder(_482631), 9033 ^ _164577 : [(9034 ^ _164577) ^ [] : [_482633 = _482635, 9037 ^ _164577 : [(9038 ^ _164577) ^ [] : [-(c_Orderings_Oord__class_Oless__eq(_482631, _482633, _482635))], (9040 ^ _164577) ^ [] : [-(c_Orderings_Oord__class_Oless__eq(_482631, _482635, _482633))]]], (9042 ^ _164577) ^ [] : [-(_482633 = _482635), c_Orderings_Oord__class_Oless__eq(_482631, _482633, _482635), c_Orderings_Oord__class_Oless__eq(_482631, _482635, _482633)]]], (9052 ^ _164577) ^ [_483289, _483291, _483293] : [class_Orderings_Opreorder(_483289), _483291 = _483293, -(c_Orderings_Oord__class_Oless__eq(_483289, _483291, _483293))], (9062 ^ _164577) ^ [_483640, _483642, _483644, _483646, _483648] : [class_Orderings_Oord(_483640), c_Orderings_Oord__class_Oless__eq(tc_fun(_483642, _483640), _483644, _483646), -(c_Orderings_Oord__class_Oless__eq(_483640, hAPP(_483644, _483648), hAPP(_483646, _483648)))], (9072 ^ _164577) ^ [_484003, _484005, _484007] : [class_Orderings_Oorder(_484003), c_Orderings_Oord__class_Oless__eq(_484003, _484005, _484007), 9079 ^ _164577 : [(9080 ^ _164577) ^ [] : [c_Orderings_Oord__class_Oless__eq(_484003, _484007, _484005), -(_484007 = _484005)], (9086 ^ _164577) ^ [] : [_484007 = _484005, -(c_Orderings_Oord__class_Oless__eq(_484003, _484007, _484005))]]], (9092 ^ _164577) ^ [_484603, _484605, _484607, _484609] : [class_Orderings_Oord(_484603), _484605 = _484607, c_Orderings_Oord__class_Oless__eq(_484603, _484607, _484609), -(c_Orderings_Oord__class_Oless__eq(_484603, _484605, _484609))], (9106 ^ _164577) ^ [_485049, _485051, _485053, _485055] : [class_Orderings_Oorder(_485049), _485051 = _485053, c_Orderings_Oord__class_Oless__eq(_485049, _485055, _485053), -(c_Orderings_Oord__class_Oless__eq(_485049, _485055, _485051))], (9120 ^ _164577) ^ [_485495, _485497, _485499, _485501] : [class_Orderings_Oord(_485495), c_Orderings_Oord__class_Oless__eq(_485495, _485497, _485499), _485499 = _485501, -(c_Orderings_Oord__class_Oless__eq(_485495, _485497, _485501))], (9134 ^ _164577) ^ [_485941, _485943, _485945, _485947] : [class_Orderings_Oorder(_485941), c_Orderings_Oord__class_Oless__eq(_485941, _485943, _485945), _485943 = _485947, -(c_Orderings_Oord__class_Oless__eq(_485941, _485947, _485945))], (9148 ^ _164577) ^ [_486373, _486375, _486377] : [class_Orderings_Oorder(_486373), c_Orderings_Oord__class_Oless__eq(_486373, _486375, _486377), c_Orderings_Oord__class_Oless__eq(_486373, _486377, _486375), -(_486375 = _486377)], (9162 ^ _164577) ^ [_486805, _486807, _486809, _486811] : [class_Orderings_Opreorder(_486805), c_Orderings_Oord__class_Oless__eq(_486805, _486807, _486809), c_Orderings_Oord__class_Oless__eq(_486805, _486809, _486811), -(c_Orderings_Oord__class_Oless__eq(_486805, _486807, _486811))], (9176 ^ _164577) ^ [_487239, _487241, _487243] : [class_Orderings_Oorder(_487239), c_Orderings_Oord__class_Oless__eq(_487239, _487241, _487243), c_Orderings_Oord__class_Oless__eq(_487239, _487243, _487241), -(_487243 = _487241)], (9190 ^ _164577) ^ [_487671, _487673, _487675, _487677] : [class_Orderings_Oorder(_487671), c_Orderings_Oord__class_Oless__eq(_487671, _487673, _487675), c_Orderings_Oord__class_Oless__eq(_487671, _487677, _487673), -(c_Orderings_Oord__class_Oless__eq(_487671, _487677, _487675))], (9204 ^ _164577) ^ [_488133, _488135, _488137, _488139, _488141] : [class_Orderings_Oord(_488133), c_Orderings_Oord__class_Oless__eq(tc_fun(_488135, _488133), _488137, _488139), -(c_Orderings_Oord__class_Oless__eq(_488133, hAPP(_488137, _488141), hAPP(_488139, _488141)))], (9214 ^ _164577) ^ [_488496, _488498, _488500] : [class_Orderings_Olinorder(_488496), -(c_Orderings_Oord__class_Oless__eq(_488496, _488498, _488500)), -(c_Orderings_Oord__class_Oless__eq(_488496, _488500, _488498))], (9224 ^ _164577) ^ [_488824, _488826, _488828] : [class_Orderings_Olinorder(_488824), -(c_Orderings_Oord__class_Oless(_488824, _488826, _488828)), -(_488826 = _488828), -(c_Orderings_Oord__class_Oless(_488824, _488828, _488826))], (9238 ^ _164577) ^ [_489248, _489250, _489252] : [class_Orderings_Opreorder(_489248), c_Orderings_Oord__class_Oless(_489248, _489250, _489252), c_Orderings_Oord__class_Oless(_489248, _489252, _489250)], (9248 ^ _164577) ^ [_489588, _489590, _489592, _489594] : [class_Orderings_Oorder(_489588), c_Orderings_Oord__class_Oless(_489588, _489590, _489592), c_Orderings_Oord__class_Oless(_489588, _489594, _489590), -(c_Orderings_Oord__class_Oless(_489588, _489594, _489592))], (9262 ^ _164577) ^ [_490036, _490038, _490040, _490042] : [class_Orderings_Opreorder(_490036), c_Orderings_Oord__class_Oless(_490036, _490038, _490040), c_Orderings_Oord__class_Oless(_490036, _490040, _490042), -(c_Orderings_Oord__class_Oless(_490036, _490038, _490042))], (9276 ^ _164577) ^ [_490484, _490486, _490488, _490490] : [class_Orderings_Oorder(_490484), c_Orderings_Oord__class_Oless(_490484, _490486, _490488), _490486 = _490490, -(c_Orderings_Oord__class_Oless(_490484, _490490, _490488))], (9290 ^ _164577) ^ [_490930, _490932, _490934, _490936] : [class_Orderings_Oord(_490930), c_Orderings_Oord__class_Oless(_490930, _490932, _490934), _490934 = _490936, -(c_Orderings_Oord__class_Oless(_490930, _490932, _490936))], (9304 ^ _164577) ^ [_491376, _491378, _491380, _491382] : [class_Orderings_Oorder(_491376), _491378 = _491380, c_Orderings_Oord__class_Oless(_491376, _491382, _491380), -(c_Orderings_Oord__class_Oless(_491376, _491382, _491378))], (9318 ^ _164577) ^ [_491822, _491824, _491826, _491828] : [class_Orderings_Oord(_491822), _491824 = _491826, c_Orderings_Oord__class_Oless(_491822, _491826, _491828), -(c_Orderings_Oord__class_Oless(_491822, _491824, _491828))], (9332 ^ _164577) ^ [_492254, _492256, _492258] : [class_Orderings_Oorder(_492254), c_Orderings_Oord__class_Oless(_492254, _492256, _492258), c_Orderings_Oord__class_Oless(_492254, _492258, _492256)], (9342 ^ _164577) ^ [_492580, _492582, _492584] : [class_Orderings_Opreorder(_492580), c_Orderings_Oord__class_Oless(_492580, _492582, _492584), c_Orderings_Oord__class_Oless(_492580, _492584, _492582)], (9352 ^ _164577) ^ [_492906, _492908, _492910] : [class_Orderings_Oorder(_492906), c_Orderings_Oord__class_Oless(_492906, _492908, _492910), _492910 = _492908], (9362 ^ _164577) ^ [_493230, _493232, _493234] : [class_Orderings_Oorder(_493230), c_Orderings_Oord__class_Oless(_493230, _493232, _493234), _493232 = _493234], (9372 ^ _164577) ^ [_493554, _493556, _493558] : [class_Orderings_Opreorder(_493554), c_Orderings_Oord__class_Oless(_493554, _493556, _493558), c_Orderings_Oord__class_Oless(_493554, _493558, _493556)], (9382 ^ _164577) ^ [_493880, _493882, _493884] : [class_Orderings_Opreorder(_493880), c_Orderings_Oord__class_Oless(_493880, _493882, _493884), c_Orderings_Oord__class_Oless(_493880, _493884, _493882)], (9392 ^ _164577) ^ [_494206, _494208, _494210] : [class_Orderings_Oorder(_494206), c_Orderings_Oord__class_Oless(_494206, _494208, _494210), _494208 = _494210], (9402 ^ _164577) ^ [_494530, _494532, _494534] : [class_Orderings_Olinorder(_494530), -(_494532 = _494534), -(c_Orderings_Oord__class_Oless(_494530, _494532, _494534)), -(c_Orderings_Oord__class_Oless(_494530, _494534, _494532))], (9416 ^ _164577) ^ [_494954, _494956, _494958] : [class_Orderings_Olinorder(_494954), -(c_Orderings_Oord__class_Oless(_494954, _494956, _494958)), 9423 ^ _164577 : [(9424 ^ _164577) ^ [] : [-(c_Orderings_Oord__class_Oless(_494954, _494958, _494956)), -(_494958 = _494956)], (9430 ^ _164577) ^ [] : [_494958 = _494956, c_Orderings_Oord__class_Oless(_494954, _494958, _494956)]]], (9436 ^ _164577) ^ [_495545, _495547, _495549] : [class_Orderings_Olinorder(_495545), -(c_Orderings_Oord__class_Oless(_495545, _495547, _495549)), -(_495547 = _495549), -(c_Orderings_Oord__class_Oless(_495545, _495549, _495547))], (9450 ^ _164577) ^ [_495965, _495967, _495969] : [class_Orderings_Olinorder(_495965), 9453 ^ _164577 : [(9464 ^ _164577) ^ [] : [9465 ^ _164577 : [(9466 ^ _164577) ^ [] : [c_Orderings_Oord__class_Oless(_495965, _495969, _495967)], (9468 ^ _164577) ^ [] : [_495967 = _495969]], c_Orderings_Oord__class_Oless(_495965, _495967, _495969)], (9454 ^ _164577) ^ [] : [-(c_Orderings_Oord__class_Oless(_495965, _495967, _495969)), -(c_Orderings_Oord__class_Oless(_495965, _495969, _495967)), -(_495967 = _495969)]]], (9472 ^ _164577) ^ [_496625, _496627, _496629] : [class_Orderings_Olinorder(_496625), 9475 ^ _164577 : [(9486 ^ _164577) ^ [] : [9487 ^ _164577 : [(9488 ^ _164577) ^ [] : [c_Orderings_Oord__class_Oless(_496625, _496627, _496629)], (9490 ^ _164577) ^ [] : [c_Orderings_Oord__class_Oless(_496625, _496629, _496627)]], _496627 = _496629], (9476 ^ _164577) ^ [] : [-(_496627 = _496629), -(c_Orderings_Oord__class_Oless(_496625, _496627, _496629)), -(c_Orderings_Oord__class_Oless(_496625, _496629, _496627))]]], (9494 ^ _164577) ^ [_497271, _497273] : [class_Orderings_Opreorder(_497271), c_Orderings_Oord__class_Oless(_497271, _497273, _497273)], (9500 ^ _164577) ^ [_497510, _497512, _497514, _497516] : [class_Orderings_Oorder(_497510), c_Orderings_Oord__class_Oless__eq(_497510, _497512, _497514), c_Orderings_Oord__class_Oless(_497510, _497516, _497512), -(c_Orderings_Oord__class_Oless(_497510, _497516, _497514))], (9514 ^ _164577) ^ [_497958, _497960, _497962, _497964] : [class_Orderings_Opreorder(_497958), c_Orderings_Oord__class_Oless__eq(_497958, _497960, _497962), c_Orderings_Oord__class_Oless(_497958, _497962, _497964), -(c_Orderings_Oord__class_Oless(_497958, _497960, _497964))], (9528 ^ _164577) ^ [_498406, _498408, _498410, _498412] : [class_Orderings_Oorder(_498406), c_Orderings_Oord__class_Oless(_498406, _498408, _498410), c_Orderings_Oord__class_Oless__eq(_498406, _498412, _498408), -(c_Orderings_Oord__class_Oless(_498406, _498412, _498410))], (9542 ^ _164577) ^ [_498854, _498856, _498858, _498860] : [class_Orderings_Opreorder(_498854), c_Orderings_Oord__class_Oless(_498854, _498856, _498858), c_Orderings_Oord__class_Oless__eq(_498854, _498858, _498860), -(c_Orderings_Oord__class_Oless(_498854, _498856, _498860))], (9556 ^ _164577) ^ [_499288, _499290, _499292] : [class_Orderings_Oorder(_499288), c_Orderings_Oord__class_Oless__eq(_499288, _499290, _499292), -(_499292 = _499290), -(c_Orderings_Oord__class_Oless(_499288, _499290, _499292))], (9570 ^ _164577) ^ [_499709, _499711, _499713] : [class_Orderings_Oorder(_499709), c_Orderings_Oord__class_Oless__eq(_499709, _499711, _499713), -(_499711 = _499713), -(c_Orderings_Oord__class_Oless(_499709, _499711, _499713))], (9584 ^ _164577) ^ [_500130, _500132, _500134] : [class_Orderings_Oorder(_500130), c_Orderings_Oord__class_Oless__eq(_500130, _500132, _500134), -(c_Orderings_Oord__class_Oless(_500130, _500132, _500134)), -(_500132 = _500134)], (9598 ^ _164577) ^ [_500549, _500551, _500553] : [class_Orderings_Olinorder(_500549), c_Orderings_Oord__class_Oless__eq(_500549, _500551, _500553), 9605 ^ _164577 : [(9606 ^ _164577) ^ [] : [-(c_Orderings_Oord__class_Oless(_500549, _500551, _500553)), -(_500551 = _500553)], (9612 ^ _164577) ^ [] : [_500551 = _500553, c_Orderings_Oord__class_Oless(_500549, _500551, _500553)]]], (9618 ^ _164577) ^ [_501137, _501139, _501141] : [class_Orderings_Opreorder(_501137), c_Orderings_Oord__class_Oless(_501137, _501139, _501141), -(c_Orderings_Oord__class_Oless__eq(_501137, _501139, _501141))], (9628 ^ _164577) ^ [_501462, _501464, _501466] : [class_Orderings_Olinorder(_501462), c_Orderings_Oord__class_Oless__eq(_501462, _501464, _501466), c_Orderings_Oord__class_Oless(_501462, _501466, _501464)], (9638 ^ _164577) ^ [_501788, _501790, _501792] : [class_Orderings_Oorder(_501788), -(_501790 = _501792), c_Orderings_Oord__class_Oless__eq(_501788, _501792, _501790), -(c_Orderings_Oord__class_Oless(_501788, _501792, _501790))], (9652 ^ _164577) ^ [_502209, _502211, _502213] : [class_Orderings_Oorder(_502209), -(_502211 = _502213), c_Orderings_Oord__class_Oless__eq(_502209, _502211, _502213), -(c_Orderings_Oord__class_Oless(_502209, _502211, _502213))], (9666 ^ _164577) ^ [_502630, _502632, _502634] : [class_Orderings_Olinorder(_502630), -(c_Orderings_Oord__class_Oless(_502630, _502632, _502634)), 9673 ^ _164577 : [(9674 ^ _164577) ^ [] : [c_Orderings_Oord__class_Oless__eq(_502630, _502632, _502634), -(_502632 = _502634)], (9680 ^ _164577) ^ [] : [_502632 = _502634, -(c_Orderings_Oord__class_Oless__eq(_502630, _502632, _502634))]]], (9686 ^ _164577) ^ [_503219, _503221, _503223] : [class_Orderings_Olinorder(_503219), -(c_Orderings_Oord__class_Oless__eq(_503219, _503221, _503223)), -(c_Orderings_Oord__class_Oless(_503219, _503223, _503221))], (9696 ^ _164577) ^ [_503547, _503549, _503551] : [class_Orderings_Olinorder(_503547), -(c_Orderings_Oord__class_Oless(_503547, _503549, _503551)), -(c_Orderings_Oord__class_Oless__eq(_503547, _503551, _503549))], (9706 ^ _164577) ^ [_503875, _503877, _503879] : [class_Orderings_Oorder(_503875), 9709 ^ _164577 : [(9720 ^ _164577) ^ [] : [9721 ^ _164577 : [(9722 ^ _164577) ^ [] : [c_Orderings_Oord__class_Oless(_503875, _503877, _503879)], (9724 ^ _164577) ^ [] : [_503877 = _503879]], -(c_Orderings_Oord__class_Oless__eq(_503875, _503877, _503879))], (9710 ^ _164577) ^ [] : [c_Orderings_Oord__class_Oless__eq(_503875, _503877, _503879), -(c_Orderings_Oord__class_Oless(_503875, _503877, _503879)), -(_503877 = _503879)]]], (9728 ^ _164577) ^ [_504533, _504535, _504537] : [class_Orderings_Opreorder(_504533), 9731 ^ _164577 : [(9732 ^ _164577) ^ [] : [c_Orderings_Oord__class_Oless(_504533, _504535, _504537), 9735 ^ _164577 : [(9736 ^ _164577) ^ [] : [-(c_Orderings_Oord__class_Oless__eq(_504533, _504535, _504537))], (9738 ^ _164577) ^ [] : [c_Orderings_Oord__class_Oless__eq(_504533, _504537, _504535)]]], (9740 ^ _164577) ^ [] : [-(c_Orderings_Oord__class_Oless(_504533, _504535, _504537)), c_Orderings_Oord__class_Oless__eq(_504533, _504535, _504537), -(c_Orderings_Oord__class_Oless__eq(_504533, _504537, _504535))]]], (9750 ^ _164577) ^ [_505196, _505198, _505200] : [class_Orderings_Oorder(_505196), 9753 ^ _164577 : [(9754 ^ _164577) ^ [] : [c_Orderings_Oord__class_Oless(_505196, _505198, _505200), 9757 ^ _164577 : [(9758 ^ _164577) ^ [] : [-(c_Orderings_Oord__class_Oless__eq(_505196, _505198, _505200))], (9760 ^ _164577) ^ [] : [_505198 = _505200]]], (9762 ^ _164577) ^ [] : [-(c_Orderings_Oord__class_Oless(_505196, _505198, _505200)), c_Orderings_Oord__class_Oless__eq(_505196, _505198, _505200), -(_505198 = _505200)]]], (9772 ^ _164577) ^ [_505856, _505858, _505860] : [class_Orderings_Olinorder(_505856), -(c_Orderings_Oord__class_Oless__eq(_505856, _505858, _505860)), -(c_Orderings_Oord__class_Oless(_505856, _505860, _505858))], (9782 ^ _164577) ^ [_506182, _506184, _506186] : [class_Orderings_Olinorder(_506182), 9785 ^ _164577 : [(9786 ^ _164577) ^ [] : [-(c_Orderings_Oord__class_Oless__eq(_506182, _506184, _506186)), -(c_Orderings_Oord__class_Oless(_506182, _506186, _506184))], (9792 ^ _164577) ^ [] : [c_Orderings_Oord__class_Oless(_506182, _506186, _506184), c_Orderings_Oord__class_Oless__eq(_506182, _506184, _506186)]]], (9798 ^ _164577) ^ [_506678, _506680, _506682] : [class_Orderings_Olinorder(_506678), 9801 ^ _164577 : [(9802 ^ _164577) ^ [] : [-(c_Orderings_Oord__class_Oless(_506678, _506680, _506682)), -(c_Orderings_Oord__class_Oless__eq(_506678, _506682, _506680))], (9808 ^ _164577) ^ [] : [c_Orderings_Oord__class_Oless__eq(_506678, _506682, _506680), c_Orderings_Oord__class_Oless(_506678, _506680, _506682)]]], (9816 ^ _164577) ^ [] : [9814 ^ [] = c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)], (9818 ^ _164577) ^ [] : [9813 ^ [] = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)], (9821 ^ _164577) ^ [] : [-(c_Groups_Oplus__class_Oplus(tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(tc_Complex_Ocomplex, 9819 ^ []), 9813 ^ []), c_Groups_Oone__class_Oone(tc_Nat_Onat)) = c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(tc_Complex_Ocomplex, c_Polynomial_Osmult(tc_Complex_Ocomplex, c_Rings_Oinverse__class_Oinverse(tc_Complex_Ocomplex, hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex, v_q____), c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex))), v_q____)))], (9823 ^ _164577) ^ [_507594] : [-(hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex, c_Polynomial_Osmult(tc_Complex_Ocomplex, c_Rings_Oinverse__class_Oinverse(tc_Complex_Ocomplex, hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex, v_q____), c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex))), v_q____)), _507594) = c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex, hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex, c_Polynomial_Osmult(tc_Complex_Ocomplex, c_Rings_Oinverse__class_Oinverse(tc_Complex_Ocomplex, hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex, v_q____), c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex))), v_q____)), c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex), hAPP(hAPP(c_Power_Opower__class_Opower(tc_Complex_Ocomplex), _507594), 9813 ^ [])), hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex, c_Polynomial_OpCons(tc_Complex_Ocomplex, 9814 ^ [], 9819 ^ [])), _507594))))], (9825 ^ _164577) ^ [_507715] : [c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), _507715), -(c_RComplete_Onatceiling(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, _507715, c_Groups_Oone__class_Oone(tc_RealDef_Oreal))) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat, c_RComplete_Onatceiling(_507715), c_Groups_Oone__class_Oone(tc_Nat_Onat)))], (9831 ^ _164577) ^ [_507973, _507975, _507977, _507979] : [class_Orderings_Oord(_507973), 9834 ^ _164577 : [(9835 ^ _164577) ^ [] : [c_Orderings_Oord__class_Oless(tc_fun(_507975, _507973), _507977, _507979), 9838 ^ _164577 : [(9839 ^ _164577) ^ [] : [-(c_Orderings_Oord__class_Oless__eq(tc_fun(_507975, _507973), _507977, _507979))], (9841 ^ _164577) ^ [] : [c_Orderings_Oord__class_Oless__eq(tc_fun(_507975, _507973), _507979, _507977)]]], (9843 ^ _164577) ^ [] : [-(c_Orderings_Oord__class_Oless(tc_fun(_507975, _507973), _507977, _507979)), c_Orderings_Oord__class_Oless__eq(tc_fun(_507975, _507973), _507977, _507979), -(c_Orderings_Oord__class_Oless__eq(tc_fun(_507975, _507973), _507979, _507977))]]], (9853 ^ _164577) ^ [] : [-(c_RComplete_Onatceiling(c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat))], (9855 ^ _164577) ^ [_508695] : [-(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), c_RComplete_Onatceiling(_508695)))], (9857 ^ _164577) ^ [_508805, _508807] : [c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, _508805, _508807), -(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, c_RComplete_Onatceiling(_508805), c_RComplete_Onatceiling(_508807)))], (9863 ^ _164577) ^ [] : [-(c_RComplete_Onatceiling(c_Groups_Oone__class_Oone(tc_RealDef_Oreal)) = c_Groups_Oone__class_Oone(tc_Nat_Onat))], (9865 ^ _164577) ^ [_509066] : [c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, _509066, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)), -(c_RComplete_Onatceiling(_509066) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat))], (9871 ^ _164577) ^ [_509291] : [c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, c_RComplete_Onatceiling(_509291), c_Groups_Oone__class_Oone(tc_Nat_Onat)), -(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, _509291, c_Groups_Oone__class_Oone(tc_RealDef_Oreal)))], (9877 ^ _164577) ^ [_509455] : [c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, _509455, c_Groups_Oone__class_Oone(tc_RealDef_Oreal)), -(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, c_RComplete_Onatceiling(_509455), c_Groups_Oone__class_Oone(tc_Nat_Onat)))], (9883 ^ _164577) ^ [_509655] : [class_Power_Opower(_509655), -(c_Power_Opower__class_Opower(_509655) = c_Power_Opower_Opower(_509655, c_Groups_Oone__class_Oone(_509655), c_Groups_Otimes__class_Otimes(_509655)))], (9889 ^ _164577) ^ [_509863] : [9897 ^ _164577 : [(9898 ^ _164577) ^ [] : [-(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), 9896 ^ [_509863]))], (9900 ^ _164577) ^ [_510223] : [-(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_RealVector_Onorm__class_Onorm(_509863, c_RealVector_Oof__real(_509863, _510223)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal), c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal, _510223)), 9896 ^ [_509863])))]], class_RealVector_Oreal__algebra__1(_509863), class_RealVector_Oreal__normed__vector(_509863)], (9902 ^ _164577) ^ [_510373, _510375, _510377, _510379] : [-(hAPP(hAPP(c_Power_Opower_Opower(_510373, _510375, _510377), _510379), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = _510375)], (9904 ^ _164577) ^ [_510524, _510526, _510528, _510530] : [class_RealVector_Oreal__normed__vector(_510524), class_Orderings_Oord(_510526), 9914 ^ _164577 : [(9915 ^ _164577) ^ [] : [-(c_Orderings_Oord__class_Oless__eq(_510526, _510528, 9913 ^ [_510524, _510526, _510528, _510530]))], (9917 ^ _164577) ^ [] : [c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_RealVector_Onorm__class_Onorm(_510524, c_Groups_Ominus__class_Ominus(_510524, hAPP(_510530, _510528), hAPP(_510530, 9913 ^ [_510524, _510526, _510528, _510530]))), c_Groups_Oone__class_Oone(tc_RealDef_Oreal))]], 9918 ^ _164577 : [(9919 ^ _164577) ^ [_511082] : [c_Orderings_Oord__class_Oless__eq(_510526, _510528, _511082), -(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_RealVector_Onorm__class_Onorm(_510524, hAPP(_510530, _511082)), c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, c_Groups_Oone__class_Oone(tc_RealDef_Oreal), c_RealVector_Onorm__class_Onorm(_510524, hAPP(_510530, _510528)))))]]], (9925 ^ _164577) ^ [_511366, _511368] : [class_RealVector_Oreal__normed__algebra(_511366), 9929 ^ _164577 : [(9930 ^ _164577) ^ [] : [-(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), 9928 ^ [_511366, _511368]))], (9932 ^ _164577) ^ [_511665] : [-(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_RealVector_Onorm__class_Onorm(_511366, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_511366), _511665), _511368)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal), c_RealVector_Onorm__class_Onorm(_511366, _511665)), 9928 ^ [_511366, _511368])))]]], (9934 ^ _164577) ^ [_511797] : [class_RealVector_Oreal__normed__algebra(_511797), 9938 ^ _164577 : [(9939 ^ _164577) ^ [] : [-(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), 9937 ^ [_511797]))], (9941 ^ _164577) ^ [_512126, _512128] : [-(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_RealVector_Onorm__class_Onorm(_511797, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_511797), _512128), _512126)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal), c_RealVector_Onorm__class_Onorm(_511797, _512128)), c_RealVector_Onorm__class_Onorm(_511797, _512126))), 9937 ^ [_511797])))]]], (9943 ^ _164577) ^ [_512279, _512281] : [class_RealVector_Oreal__normed__algebra(_512279), 9947 ^ _164577 : [(9948 ^ _164577) ^ [] : [-(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), 9946 ^ [_512279, _512281]))], (9950 ^ _164577) ^ [_512578] : [-(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_RealVector_Onorm__class_Onorm(_512279, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_512279), _512281), _512578)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal), c_RealVector_Onorm__class_Onorm(_512279, _512578)), 9946 ^ [_512279, _512281])))]]], (9953 ^ _164577) ^ [] : [-(c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(tc_Complex_Ocomplex, 9951 ^ []) = c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(tc_Complex_Ocomplex, v_pa____))], (9955 ^ _164577) ^ [_512814] : [-(hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex, 9951 ^ []), _512814) = hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex, v_pa____), c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex, v_c____, _512814)))], (9957 ^ _164577) ^ [_512919] : [c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), _512919), -(c_RComplete_Onatfloor(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, _512919, c_Groups_Oone__class_Oone(tc_RealDef_Oreal))) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat, c_RComplete_Onatfloor(_512919), c_Groups_Oone__class_Oone(tc_Nat_Onat)))], (9963 ^ _164577) ^ [] : [-(c_RComplete_Onatfloor(c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat))], (9965 ^ _164577) ^ [] : [-(c_RComplete_Onatfloor(c_Groups_Oone__class_Oone(tc_RealDef_Oreal)) = c_Groups_Oone__class_Oone(tc_Nat_Onat))], (9967 ^ _164577) ^ [_513226] : [-(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), c_RComplete_Onatfloor(_513226)))], (9969 ^ _164577) ^ [_513336, _513338] : [c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, _513336, _513338), -(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, c_RComplete_Onatfloor(_513336), c_RComplete_Onatfloor(_513338)))], (9975 ^ _164577) ^ [_513544] : [c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, _513544, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)), -(c_RComplete_Onatfloor(_513544) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat))], (9981 ^ _164577) ^ [_513769] : [c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, c_Groups_Oone__class_Oone(tc_Nat_Onat), c_RComplete_Onatfloor(_513769)), -(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_Groups_Oone__class_Oone(tc_RealDef_Oreal), _513769))], (9987 ^ _164577) ^ [_513933] : [c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_Groups_Oone__class_Oone(tc_RealDef_Oreal), _513933), -(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, c_Groups_Oone__class_Oone(tc_Nat_Onat), c_RComplete_Onatfloor(_513933)))], (9993 ^ _164577) ^ [_514147, _514149] : [c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), _514147), c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), _514149), -(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), c_RComplete_Onatfloor(_514147)), c_RComplete_Onatfloor(_514149)), c_RComplete_Onatfloor(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal), _514147), _514149))))], (10003 ^ _164577) ^ [_514508, _514510] : [c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _514508, _514510), -(c_Nat__Transfer_Otsub(_514510, _514508) = c_Groups_Ominus__class_Ominus(tc_Int_Oint, _514510, _514508))], (10009 ^ _164577) ^ [_514686, _514688] : [-(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _514686, _514688)), -(c_Nat__Transfer_Otsub(_514688, _514686) = c_Groups_Ozero__class_Ozero(tc_Int_Oint))], (10015 ^ _164577) ^ [_514923, _514925, _514927] : [c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _514923, _514925), -(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _514923, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _514925, _514927)))], (10021 ^ _164577) ^ [_515151, _515153] : [c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _515151), c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _515153), -(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), c_Nat__Transfer_Otsub(_515151, _515153)))], (10031 ^ _164577) ^ [_515462, _515464] : [c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _515462, _515464), -(c_Nat__Transfer_Otsub(_515464, _515462) = c_Groups_Ominus__class_Ominus(tc_Int_Oint, _515464, _515462))], (10037 ^ _164577) ^ [_515702, _515704, _515706] : [c_Orderings_Oord__class_Oless(tc_Nat_Onat, _515702, _515704), -(c_Orderings_Oord__class_Oless(tc_Nat_Onat, _515702, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _515706, _515704)))], (10043 ^ _164577) ^ [_515944, _515946, _515948] : [c_Orderings_Oord__class_Oless(tc_Nat_Onat, _515944, _515946), -(c_Orderings_Oord__class_Oless(tc_Nat_Onat, _515944, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _515946, _515948)))], (10049 ^ _164577) ^ [_516172, _516174] : [c_Orderings_Oord__class_Oless(tc_Nat_Onat, _516172, _516174), -(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _516172, _516174))], (10055 ^ _164577) ^ [_516400, _516402, _516404] : [c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _516400, _516402), -(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _516400, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _516404, _516402)))], (10061 ^ _164577) ^ [_516628, _516630] : [c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_RealDef_Oreal(tc_Nat_Onat, _516628), _516630), c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, _516630, c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, c_RealDef_Oreal(tc_Nat_Onat, _516628), c_Groups_Oone__class_Oone(tc_RealDef_Oreal))), -(c_RComplete_Onatceiling(_516630) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _516628, c_Groups_Oone__class_Oone(tc_Nat_Onat)))], (10071 ^ _164577) ^ [_516977, _516979, _516981] : [class_Rings_Olinordered__idom(_516977), 10074 ^ _164577 : [(10075 ^ _164577) ^ [] : [c_Polynomial_Opos__poly(_516977, c_Polynomial_OpCons(_516977, _516979, _516981)), -(c_Polynomial_Opos__poly(_516977, _516981)), 10082 ^ _164577 : [(10083 ^ _164577) ^ [] : [-(_516981 = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(_516977)))], (10085 ^ _164577) ^ [] : [-(c_Orderings_Oord__class_Oless(_516977, c_Groups_Ozero__class_Ozero(_516977), _516979))]]], (10087 ^ _164577) ^ [] : [-(c_Polynomial_Opos__poly(_516977, c_Polynomial_OpCons(_516977, _516979, _516981))), 10088 ^ _164577 : [(10089 ^ _164577) ^ [] : [c_Polynomial_Opos__poly(_516977, _516981)], (10091 ^ _164577) ^ [] : [_516981 = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(_516977)), c_Orderings_Oord__class_Oless(_516977, c_Groups_Ozero__class_Ozero(_516977), _516979)]]]]], (10099 ^ _164577) ^ [_517783] : [-(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), c_RealDef_Oreal(tc_Nat_Onat, _517783)))], (10101 ^ _164577) ^ [_517894, _517896] : [c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _517894, _517896), -(c_RealDef_Oreal(tc_Nat_Onat, c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _517896, _517894)) = c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal, c_RealDef_Oreal(tc_Nat_Onat, _517896), c_RealDef_Oreal(tc_Nat_Onat, _517894)))], (10107 ^ _164577) ^ [_518169, _518171] : [c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_RealDef_Oreal(tc_Nat_Onat, _518169), c_RealDef_Oreal(tc_Nat_Onat, _518171)), -(c_Orderings_Oord__class_Oless(tc_Nat_Onat, _518169, _518171))], (10113 ^ _164577) ^ [_518347, _518349] : [c_Orderings_Oord__class_Oless(tc_Nat_Onat, _518347, _518349), -(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_RealDef_Oreal(tc_Nat_Onat, _518347), c_RealDef_Oreal(tc_Nat_Onat, _518349)))], (10119 ^ _164577) ^ [_518545] : [c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_RealDef_Oreal(tc_Nat_Onat, _518545), c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))], (10121 ^ _164577) ^ [_518641, _518643] : [-(hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal), c_RealDef_Oreal(tc_Nat_Onat, _518641)), _518643) = c_RealDef_Oreal(tc_Nat_Onat, hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), _518641), _518643)))], (10123 ^ _164577) ^ [_518753, _518755] : [-(c_RealDef_Oreal(tc_Nat_Onat, hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), _518753), _518755)) = hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal), c_RealDef_Oreal(tc_Nat_Onat, _518753)), _518755))], (10125 ^ _164577) ^ [_518894, _518896, _518898] : [class_Rings_Olinordered__idom(_518894), c_Polynomial_Opos__poly(_518894, _518896), c_Polynomial_Opos__poly(_518894, _518898), -(c_Polynomial_Opos__poly(_518894, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(_518894)), _518896), _518898)))], (10139 ^ _164577) ^ [_519285] : [-(c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, c_RealDef_Oreal(tc_Nat_Onat, _519285)) = c_RealDef_Oreal(tc_Nat_Onat, _519285))], (10141 ^ _164577) ^ [_519416] : [c_RealDef_Oreal(tc_Nat_Onat, _519416) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), -(_519416 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat))], (10147 ^ _164577) ^ [_519578] : [_519578 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat), -(c_RealDef_Oreal(tc_Nat_Onat, _519578) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))], (10153 ^ _164577) ^ [] : [-(c_RealDef_Oreal(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))], (10155 ^ _164577) ^ [_519828, _519830] : [-(c_RealDef_Oreal(tc_Nat_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _519828), _519830)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal), c_RealDef_Oreal(tc_Nat_Onat, _519828)), c_RealDef_Oreal(tc_Nat_Onat, _519830)))], (10157 ^ _164577) ^ [_519944] : [class_Rings_Olinordered__idom(_519944), c_Polynomial_Opos__poly(_519944, c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(_519944)))], (10163 ^ _164577) ^ [_520184, _520186] : [c_RealDef_Oreal(tc_Nat_Onat, _520184) = c_RealDef_Oreal(tc_Nat_Onat, _520186), -(_520184 = _520186)], (10169 ^ _164577) ^ [_520358, _520360] : [_520358 = _520360, -(c_RealDef_Oreal(tc_Nat_Onat, _520358) = c_RealDef_Oreal(tc_Nat_Onat, _520360))], (10175 ^ _164577) ^ [_520596, _520598, _520600] : [class_Rings_Olinordered__idom(_520596), c_Polynomial_Opos__poly(_520596, _520598), c_Polynomial_Opos__poly(_520596, _520600), -(c_Polynomial_Opos__poly(_520596, c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(_520596), _520598, _520600)))], (10189 ^ _164577) ^ [_520993, _520995] : [-(c_RealDef_Oreal(tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _520993, _520995)) = c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, c_RealDef_Oreal(tc_Nat_Onat, _520993), c_RealDef_Oreal(tc_Nat_Onat, _520995)))], (10191 ^ _164577) ^ [] : [-(c_RealDef_Oreal(tc_Nat_Onat, c_Groups_Oone__class_Oone(tc_Nat_Onat)) = c_Groups_Oone__class_Oone(tc_RealDef_Oreal))], (10193 ^ _164577) ^ [_521187] : [c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_RealDef_Oreal(tc_Nat_Onat, _521187), c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)), -(_521187 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat))], (10199 ^ _164577) ^ [_521351] : [_521351 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat), -(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_RealDef_Oreal(tc_Nat_Onat, _521351), c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)))], (10205 ^ _164577) ^ [_521536] : [-(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, _521536, c_RealDef_Oreal(tc_Nat_Onat, c_RComplete_Onatceiling(_521536))))], (10207 ^ _164577) ^ [_521678, _521680] : [c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_RealDef_Oreal(tc_Nat_Onat, _521678), c_RealDef_Oreal(tc_Nat_Onat, _521680)), -(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _521678, _521680))], (10213 ^ _164577) ^ [_521856, _521858] : [c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _521856, _521858), -(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_RealDef_Oreal(tc_Nat_Onat, _521856), c_RealDef_Oreal(tc_Nat_Onat, _521858)))], (10219 ^ _164577) ^ [_522098, _522100, _522102] : [class_Rings_Olinordered__idom(_522098), 10222 ^ _164577 : [(10233 ^ _164577) ^ [] : [10234 ^ _164577 : [(10235 ^ _164577) ^ [] : [_522100 = _522102], (10237 ^ _164577) ^ [] : [c_Polynomial_Opos__poly(_522098, c_Groups_Ominus__class_Ominus(tc_Polynomial_Opoly(_522098), _522102, _522100))]], -(c_Orderings_Oord__class_Oless__eq(tc_Polynomial_Opoly(_522098), _522100, _522102))], (10223 ^ _164577) ^ [] : [c_Orderings_Oord__class_Oless__eq(tc_Polynomial_Opoly(_522098), _522100, _522102), -(_522100 = _522102), -(c_Polynomial_Opos__poly(_522098, c_Groups_Ominus__class_Ominus(tc_Polynomial_Opoly(_522098), _522102, _522100)))]]], (10241 ^ _164577) ^ [_522734] : [-(c_RComplete_Onatceiling(c_RealDef_Oreal(tc_Nat_Onat, _522734)) = _522734)], (10243 ^ _164577) ^ [_522817] : [-(c_RComplete_Onatfloor(c_RealDef_Oreal(tc_Nat_Onat, _522817)) = _522817)], (10245 ^ _164577) ^ [_522915] : [c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), _522915), -(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_RealDef_Oreal(tc_Nat_Onat, c_RComplete_Onatfloor(_522915)), _522915))], (10251 ^ _164577) ^ [_523133, _523135] : [c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_RealDef_Oreal(tc_Nat_Onat, _523133), _523135), -(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _523133, c_RComplete_Onatfloor(_523135)))], (10257 ^ _164577) ^ [_523357, _523359] : [c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, _523357, c_RealDef_Oreal(tc_Nat_Onat, _523359)), -(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, c_RComplete_Onatceiling(_523357), _523359))], (10263 ^ _164577) ^ [_523581, _523583] : [_523581 = c_RealDef_Oreal(tc_Nat_Onat, c_RComplete_Onatfloor(_523581)), -(c_RComplete_Onatfloor(hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal), _523581), _523583)) = hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), c_RComplete_Onatfloor(_523581)), _523583))], (10269 ^ _164577) ^ [_523848] : [c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), c_RealDef_Oreal(tc_Nat_Onat, _523848)), -(c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _523848))], (10275 ^ _164577) ^ [_524014] : [c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _524014), -(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), c_RealDef_Oreal(tc_Nat_Onat, _524014)))], (10281 ^ _164577) ^ [_524259, _524261] : [c_Orderings_Oord__class_Oless(tc_Nat_Onat, _524259, _524261), -(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, c_RealDef_Oreal(tc_Nat_Onat, _524259), c_Groups_Oone__class_Oone(tc_RealDef_Oreal)), c_RealDef_Oreal(tc_Nat_Onat, _524261)))], (10287 ^ _164577) ^ [_524445, _524447] : [c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, c_RealDef_Oreal(tc_Nat_Onat, _524445), c_Groups_Oone__class_Oone(tc_RealDef_Oreal)), c_RealDef_Oreal(tc_Nat_Onat, _524447)), -(c_Orderings_Oord__class_Oless(tc_Nat_Onat, _524445, _524447))], (10293 ^ _164577) ^ [_524710, _524712] : [c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _524710, _524712), -(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_RealDef_Oreal(tc_Nat_Onat, _524710), c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, c_RealDef_Oreal(tc_Nat_Onat, _524712), c_Groups_Oone__class_Oone(tc_RealDef_Oreal))))], (10299 ^ _164577) ^ [_524896, _524898] : [c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_RealDef_Oreal(tc_Nat_Onat, _524896), c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, c_RealDef_Oreal(tc_Nat_Onat, _524898), c_Groups_Oone__class_Oone(tc_RealDef_Oreal))), -(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _524896, _524898))], (10305 ^ _164577) ^ [_525132, _525134] : [c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), _525132), 10308 ^ _164577 : [(10309 ^ _164577) ^ [] : [c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _525134, c_RComplete_Onatfloor(_525132)), -(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_RealDef_Oreal(tc_Nat_Onat, _525134), _525132))], (10315 ^ _164577) ^ [] : [c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_RealDef_Oreal(tc_Nat_Onat, _525134), _525132), -(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _525134, c_RComplete_Onatfloor(_525132)))]]], (10321 ^ _164577) ^ [_525615, _525617] : [class_Rings_Olinordered__idom(_525615), -(_525617 = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(_525615))), -(c_Polynomial_Opos__poly(_525615, _525617)), -(c_Polynomial_Opos__poly(_525615, c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(_525615), _525617)))], (10335 ^ _164577) ^ [_526021, _526023] : [c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), _526021), 10338 ^ _164577 : [(10339 ^ _164577) ^ [] : [c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, c_RComplete_Onatceiling(_526021), _526023), -(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, _526021, c_RealDef_Oreal(tc_Nat_Onat, _526023)))], (10345 ^ _164577) ^ [] : [c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, _526021, c_RealDef_Oreal(tc_Nat_Onat, _526023)), -(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, c_RComplete_Onatceiling(_526021), _526023))]]], (10351 ^ _164577) ^ [_526475] : [-(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, _526475, c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, c_RealDef_Oreal(tc_Nat_Onat, c_RComplete_Onatfloor(_526475)), c_Groups_Oone__class_Oone(tc_RealDef_Oreal))))], (10353 ^ _164577) ^ [_526592, _526594] : [c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_RealDef_Oreal(tc_Nat_Onat, _526592), _526594), -(c_RComplete_Onatfloor(c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal, _526594, c_RealDef_Oreal(tc_Nat_Onat, _526592))) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat, c_RComplete_Onatfloor(_526594), _526592))], (10359 ^ _164577) ^ [_526811] : [-(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal, _526811, c_Groups_Oone__class_Oone(tc_RealDef_Oreal)), c_RealDef_Oreal(tc_Nat_Onat, c_RComplete_Onatfloor(_526811))))], (10361 ^ _164577) ^ [_526928, _526930] : [c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_RealDef_Oreal(tc_Nat_Onat, _526928), _526930), -(c_RComplete_Onatceiling(c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal, _526930, c_RealDef_Oreal(tc_Nat_Onat, _526928))) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat, c_RComplete_Onatceiling(_526930), _526928))], (10367 ^ _164577) ^ [_527176, _527178] : [c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), _527176), c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, _527176, c_RealDef_Oreal(tc_Nat_Onat, _527178)), -(c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_RComplete_Onatfloor(_527176), _527178))], (10377 ^ _164577) ^ [_527491, _527493] : [c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), _527491), -(c_RComplete_Onatfloor(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, _527491, c_RealDef_Oreal(tc_Nat_Onat, _527493))) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat, c_RComplete_Onatfloor(_527491), _527493))], (10383 ^ _164577) ^ [_527733, _527735] : [c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, c_RComplete_Onatfloor(_527733), c_Groups_Oone__class_Oone(tc_Nat_Onat)), _527735), -(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, _527733, c_RealDef_Oreal(tc_Nat_Onat, _527735)))], (10389 ^ _164577) ^ [_527965, _527967] : [c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_RealDef_Oreal(tc_Nat_Onat, _527965), _527967), c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, _527967, c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, c_RealDef_Oreal(tc_Nat_Onat, _527965), c_Groups_Oone__class_Oone(tc_RealDef_Oreal))), -(c_RComplete_Onatfloor(_527967) = _527965)], (10399 ^ _164577) ^ [_528292, _528294] : [c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), _528292), -(c_RComplete_Onatceiling(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, _528292, c_RealDef_Oreal(tc_Nat_Onat, _528294))) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat, c_RComplete_Onatceiling(_528292), _528294))], (10405 ^ _164577) ^ [_528548, _528550, _528552] : [class_Rings_Olinordered__idom(_528548), 10408 ^ _164577 : [(10409 ^ _164577) ^ [] : [c_Orderings_Oord__class_Oless(tc_Polynomial_Opoly(_528548), _528550, _528552), -(c_Polynomial_Opos__poly(_528548, c_Groups_Ominus__class_Ominus(tc_Polynomial_Opoly(_528548), _528552, _528550)))], (10415 ^ _164577) ^ [] : [c_Polynomial_Opos__poly(_528548, c_Groups_Ominus__class_Ominus(tc_Polynomial_Opoly(_528548), _528552, _528550)), -(c_Orderings_Oord__class_Oless(tc_Polynomial_Opoly(_528548), _528550, _528552))]]], (10421 ^ _164577) ^ [_529049, _529051] : [c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), _529049), -(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal), c_RealDef_Oreal(tc_Nat_Onat, _529051)), _529049), c_Groups_Oone__class_Oone(tc_RealDef_Oreal)), hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal), c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, _529049, c_Groups_Oone__class_Oone(tc_RealDef_Oreal))), _529051)))], (10427 ^ _164577) ^ [_529295] : [c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), _529295), 10431 ^ _164577 : [(10432 ^ _164577) ^ [] : [-(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_RealDef_Oreal(tc_Nat_Onat, c_Groups_Ominus__class_Ominus(tc_Nat_Onat, 10430 ^ [_529295], c_Groups_Oone__class_Oone(tc_Nat_Onat))), _529295))], (10434 ^ _164577) ^ [] : [-(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, _529295, c_RealDef_Oreal(tc_Nat_Onat, 10430 ^ [_529295])))]]], (10436 ^ _164577) ^ [_529686, _529688, _529690] : [class_Groups_Oab__group__add(_529686), -(c_Groups_Ominus__class_Ominus(_529686, c_Groups_Ouminus__class_Ouminus(_529686, _529688), c_Groups_Ouminus__class_Ouminus(_529686, _529690)) = c_Groups_Ouminus__class_Ouminus(_529686, c_Groups_Ominus__class_Ominus(_529686, _529688, _529690)))], (10442 ^ _164577) ^ [_529934, _529936] : [class_Orderings_Oorder(_529934), 10445 ^ _164577 : [(10456 ^ _164577) ^ [] : [10459 ^ _164577 : [(10460 ^ _164577) ^ [] : [-(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, 10457 ^ [_529934, _529936], 10458 ^ [_529934, _529936]))], (10462 ^ _164577) ^ [] : [c_Orderings_Oord__class_Oless__eq(_529934, hAPP(_529936, 10458 ^ [_529934, _529936]), hAPP(_529936, 10457 ^ [_529934, _529936]))]], -(c_SEQ_Odecseq(_529934, _529936))], (10446 ^ _164577) ^ [] : [c_SEQ_Odecseq(_529934, _529936), 10449 ^ _164577 : [(10450 ^ _164577) ^ [_530210, _530212] : [c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _530212, _530210), -(c_Orderings_Oord__class_Oless__eq(_529934, hAPP(_529936, _530210), hAPP(_529936, _530212)))]]]]], (10466 ^ _164577) ^ [_530849, _530851, _530853] : [c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), _530849), 10470 ^ _164577 : [(10471 ^ _164577) ^ [] : [-(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), 10469 ^ [_530849, _530851, _530853]))], (10473 ^ _164577) ^ [_531233] : [-(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex, hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex, _530853), _531233), hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex, _530853), _530851))), _530849)), c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex, _531233, _530851))), c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex, _531233, _530851)), 10469 ^ [_530849, _530851, _530853])]]], (10483 ^ _164577) ^ [_531669, _531671, _531673] : [class_Lattices_Oboolean__algebra(_531669), c_Orderings_Oord__class_Oless__eq(_531669, _531671, _531673), -(c_Orderings_Oord__class_Oless__eq(_531669, c_Groups_Ouminus__class_Ouminus(_531669, _531673), c_Groups_Ouminus__class_Ouminus(_531669, _531671)))], (10493 ^ _164577) ^ [_532006, _532008, _532010] : [class_Lattices_Oboolean__algebra(_532006), 10496 ^ _164577 : [(10497 ^ _164577) ^ [] : [c_Orderings_Oord__class_Oless__eq(_532006, c_Groups_Ouminus__class_Ouminus(_532006, _532008), c_Groups_Ouminus__class_Ouminus(_532006, _532010)), -(c_Orderings_Oord__class_Oless__eq(_532006, _532010, _532008))], (10503 ^ _164577) ^ [] : [c_Orderings_Oord__class_Oless__eq(_532006, _532010, _532008), -(c_Orderings_Oord__class_Oless__eq(_532006, c_Groups_Ouminus__class_Ouminus(_532006, _532008), c_Groups_Ouminus__class_Ouminus(_532006, _532010)))]]], (10509 ^ _164577) ^ [_532518, _532520, _532522] : [class_Lattices_Oboolean__algebra(_532518), 10512 ^ _164577 : [(10513 ^ _164577) ^ [] : [c_Groups_Ouminus__class_Ouminus(_532518, _532520) = c_Groups_Ouminus__class_Ouminus(_532518, _532522), -(_532520 = _532522)], (10519 ^ _164577) ^ [] : [_532520 = _532522, -(c_Groups_Ouminus__class_Ouminus(_532518, _532520) = c_Groups_Ouminus__class_Ouminus(_532518, _532522))]]], (10525 ^ _164577) ^ [_533038, _533040, _533042, _533044] : [class_Groups_Ouminus(_533038), -(hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_533040, _533038), _533042), _533044) = c_Groups_Ouminus__class_Ouminus(_533038, hAPP(_533042, _533044)))], (10531 ^ _164577) ^ [_533288, _533290] : [class_Lattices_Oboolean__algebra(_533288), -(c_Groups_Ouminus__class_Ouminus(_533288, c_Groups_Ouminus__class_Ouminus(_533288, _533290)) = _533290)], (10537 ^ _164577) ^ [_533550, _533552, _533554, _533556, _533558] : [class_Groups_Ominus(_533550), -(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_533552, _533550), _533554, _533556), _533558) = c_Groups_Ominus__class_Ominus(_533550, hAPP(_533554, _533558), hAPP(_533556, _533558)))], (10543 ^ _164577) ^ [_533816, _533818] : [class_Lattices_Oab__semigroup__idem__mult(_533816), -(hAPP(hAPP(c_Groups_Otimes__class_Otimes(_533816), _533818), _533818) = _533818)], (10549 ^ _164577) ^ [_534040, _534042] : [class_Lattices_Oab__semigroup__idem__mult(_534040), -(hAPP(hAPP(c_Groups_Otimes__class_Otimes(_534040), _534042), _534042) = _534042)], (10555 ^ _164577) ^ [_534278, _534280, _534282] : [class_Lattices_Oab__semigroup__idem__mult(_534278), -(hAPP(hAPP(c_Groups_Otimes__class_Otimes(_534278), _534280), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_534278), _534280), _534282)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_534278), _534280), _534282))], (10561 ^ _164577) ^ [_534526] : [10569 ^ _164577 : [(10570 ^ _164577) ^ [_534802] : [-(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_RealVector_Onorm__class_Onorm(_534526, c_RealVector_Oof__real(_534526, _534802)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal), c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal, _534802)), 10568 ^ [_534526])))]], class_RealVector_Oreal__algebra__1(_534526), class_RealVector_Oreal__normed__vector(_534526)], (10572 ^ _164577) ^ [_534937, _534939] : [class_Rings_Olinordered__idom(_534937), 10575 ^ _164577 : [(10576 ^ _164577) ^ [] : [_534939 = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(_534937)), -(c_Groups_Osgn__class_Osgn(tc_Polynomial_Opoly(_534937), _534939) = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(_534937)))], (10582 ^ _164577) ^ [] : [-(_534939 = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(_534937))), 10585 ^ _164577 : [(10586 ^ _164577) ^ [] : [c_Orderings_Oord__class_Oless(tc_Polynomial_Opoly(_534937), c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(_534937)), _534939), -(c_Groups_Osgn__class_Osgn(tc_Polynomial_Opoly(_534937), _534939) = c_Groups_Oone__class_Oone(tc_Polynomial_Opoly(_534937)))], (10592 ^ _164577) ^ [] : [-(c_Orderings_Oord__class_Oless(tc_Polynomial_Opoly(_534937), c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(_534937)), _534939)), -(c_Groups_Osgn__class_Osgn(tc_Polynomial_Opoly(_534937), _534939) = c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(_534937), c_Groups_Oone__class_Oone(tc_Polynomial_Opoly(_534937))))]]]]], (10598 ^ _164577) ^ [_535765, _535767] : [class_Rings_Olinordered__idom(_535765), 10601 ^ _164577 : [(10602 ^ _164577) ^ [] : [c_Orderings_Oord__class_Oless(_535765, c_Groups_Osgn__class_Osgn(_535765, _535767), c_Groups_Ozero__class_Ozero(_535765)), -(c_Orderings_Oord__class_Oless(_535765, _535767, c_Groups_Ozero__class_Ozero(_535765)))], (10608 ^ _164577) ^ [] : [c_Orderings_Oord__class_Oless(_535765, _535767, c_Groups_Ozero__class_Ozero(_535765)), -(c_Orderings_Oord__class_Oless(_535765, c_Groups_Osgn__class_Osgn(_535765, _535767), c_Groups_Ozero__class_Ozero(_535765)))]]], (10614 ^ _164577) ^ [_536250, _536252] : [class_Rings_Olinordered__idom(_536250), 10617 ^ _164577 : [(10618 ^ _164577) ^ [] : [c_Orderings_Oord__class_Oless(_536250, c_Groups_Ozero__class_Ozero(_536250), c_Groups_Osgn__class_Osgn(_536250, _536252)), -(c_Orderings_Oord__class_Oless(_536250, c_Groups_Ozero__class_Ozero(_536250), _536252))], (10624 ^ _164577) ^ [] : [c_Orderings_Oord__class_Oless(_536250, c_Groups_Ozero__class_Ozero(_536250), _536252), -(c_Orderings_Oord__class_Oless(_536250, c_Groups_Ozero__class_Ozero(_536250), c_Groups_Osgn__class_Osgn(_536250, _536252)))]]], (10630 ^ _164577) ^ [_536735, _536737] : [class_Rings_Olinordered__idom(_536735), -(hAPP(hAPP(c_Groups_Otimes__class_Otimes(_536735), c_Groups_Osgn__class_Osgn(_536735, _536737)), c_Groups_Oabs__class_Oabs(_536735, _536737)) = _536737)], (10636 ^ _164577) ^ [_536971, _536973] : [class_Rings_Olinordered__idom(_536971), -(c_Groups_Oabs__class_Oabs(_536971, _536973) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_536971), _536973), c_Groups_Osgn__class_Osgn(_536971, _536973)))], (10642 ^ _164577) ^ [_537221, _537223, _537225] : [class_RealVector_Oreal__normed__div__algebra(_537221), -(c_Groups_Osgn__class_Osgn(_537221, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_537221), _537223), _537225)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_537221), c_Groups_Osgn__class_Osgn(_537221, _537223)), c_Groups_Osgn__class_Osgn(_537221, _537225)))], (10648 ^ _164577) ^ [_537499, _537501, _537503] : [class_Rings_Olinordered__idom(_537499), -(c_Groups_Osgn__class_Osgn(_537499, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_537499), _537501), _537503)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_537499), c_Groups_Osgn__class_Osgn(_537499, _537501)), c_Groups_Osgn__class_Osgn(_537499, _537503)))], (10654 ^ _164577) ^ [_537749] : [class_Groups_Osgn__if(_537749), -(c_Groups_Osgn__class_Osgn(_537749, c_Groups_Ozero__class_Ozero(_537749)) = c_Groups_Ozero__class_Ozero(_537749))], (10660 ^ _164577) ^ [_537965, _537967] : [class_Rings_Olinordered__idom(_537965), 10663 ^ _164577 : [(10664 ^ _164577) ^ [] : [c_Groups_Osgn__class_Osgn(_537965, _537967) = c_Groups_Ozero__class_Ozero(_537965), -(_537967 = c_Groups_Ozero__class_Ozero(_537965))], (10670 ^ _164577) ^ [] : [_537967 = c_Groups_Ozero__class_Ozero(_537965), -(c_Groups_Osgn__class_Osgn(_537965, _537967) = c_Groups_Ozero__class_Ozero(_537965))]]], (10676 ^ _164577) ^ [_538444, _538446] : [class_RealVector_Oreal__normed__vector(_538444), 10679 ^ _164577 : [(10680 ^ _164577) ^ [] : [c_Groups_Osgn__class_Osgn(_538444, _538446) = c_Groups_Ozero__class_Ozero(_538444), -(_538446 = c_Groups_Ozero__class_Ozero(_538444))], (10686 ^ _164577) ^ [] : [_538446 = c_Groups_Ozero__class_Ozero(_538444), -(c_Groups_Osgn__class_Osgn(_538444, _538446) = c_Groups_Ozero__class_Ozero(_538444))]]], (10692 ^ _164577) ^ [_538909] : [class_RealVector_Oreal__normed__vector(_538909), -(c_Groups_Osgn__class_Osgn(_538909, c_Groups_Ozero__class_Ozero(_538909)) = c_Groups_Ozero__class_Ozero(_538909))], (10698 ^ _164577) ^ [_539125, _539127] : [class_RealVector_Oreal__normed__algebra__1(_539125), -(c_Groups_Osgn__class_Osgn(_539125, c_RealVector_Oof__real(_539125, _539127)) = c_RealVector_Oof__real(_539125, c_Groups_Osgn__class_Osgn(tc_RealDef_Oreal, _539127)))], (10704 ^ _164577) ^ [_539357, _539359] : [class_Rings_Olinordered__idom(_539357), -(c_Groups_Osgn__class_Osgn(_539357, c_Groups_Osgn__class_Osgn(_539357, _539359)) = c_Groups_Osgn__class_Osgn(_539357, _539359))], (10710 ^ _164577) ^ [_539583, _539585] : [class_RealVector_Oreal__normed__vector(_539583), -(c_Groups_Osgn__class_Osgn(_539583, c_Groups_Ouminus__class_Ouminus(_539583, _539585)) = c_Groups_Ouminus__class_Ouminus(_539583, c_Groups_Osgn__class_Osgn(_539583, _539585)))], (10716 ^ _164577) ^ [_539801] : [class_RealVector_Oreal__normed__algebra__1(_539801), -(c_Groups_Osgn__class_Osgn(_539801, c_Groups_Oone__class_Oone(_539801)) = c_Groups_Oone__class_Oone(_539801))], (10722 ^ _164577) ^ [_540017, _540019] : [class_Rings_Olinordered__idom(_540017), 10725 ^ _164577 : [(10726 ^ _164577) ^ [] : [c_Groups_Osgn__class_Osgn(_540017, _540019) = c_Groups_Oone__class_Oone(_540017), -(c_Orderings_Oord__class_Oless(_540017, c_Groups_Ozero__class_Ozero(_540017), _540019))], (10732 ^ _164577) ^ [] : [c_Orderings_Oord__class_Oless(_540017, c_Groups_Ozero__class_Ozero(_540017), _540019), -(c_Groups_Osgn__class_Osgn(_540017, _540019) = c_Groups_Oone__class_Oone(_540017))]]], (10738 ^ _164577) ^ [_540499, _540501] : [class_Rings_Olinordered__idom(_540499), c_Orderings_Oord__class_Oless(_540499, c_Groups_Ozero__class_Ozero(_540499), _540501), -(c_Groups_Osgn__class_Osgn(_540499, _540501) = c_Groups_Oone__class_Oone(_540499))], (10748 ^ _164577) ^ [_540812, _540814] : [class_Groups_Osgn__if(_540812), 10751 ^ _164577 : [(10752 ^ _164577) ^ [] : [_540814 = c_Groups_Ozero__class_Ozero(_540812), -(c_Groups_Osgn__class_Osgn(_540812, _540814) = c_Groups_Ozero__class_Ozero(_540812))], (10758 ^ _164577) ^ [] : [-(_540814 = c_Groups_Ozero__class_Ozero(_540812)), 10761 ^ _164577 : [(10762 ^ _164577) ^ [] : [c_Orderings_Oord__class_Oless(_540812, c_Groups_Ozero__class_Ozero(_540812), _540814), -(c_Groups_Osgn__class_Osgn(_540812, _540814) = c_Groups_Oone__class_Oone(_540812))], (10768 ^ _164577) ^ [] : [-(c_Orderings_Oord__class_Oless(_540812, c_Groups_Ozero__class_Ozero(_540812), _540814)), -(c_Groups_Osgn__class_Osgn(_540812, _540814) = c_Groups_Ouminus__class_Ouminus(_540812, c_Groups_Oone__class_Oone(_540812)))]]]]], (10774 ^ _164577) ^ [_541588, _541590] : [class_Rings_Olinordered__idom(_541588), 10777 ^ _164577 : [(10778 ^ _164577) ^ [] : [c_Groups_Osgn__class_Osgn(_541588, _541590) = c_Groups_Ouminus__class_Ouminus(_541588, c_Groups_Oone__class_Oone(_541588)), -(c_Orderings_Oord__class_Oless(_541588, _541590, c_Groups_Ozero__class_Ozero(_541588)))], (10784 ^ _164577) ^ [] : [c_Orderings_Oord__class_Oless(_541588, _541590, c_Groups_Ozero__class_Ozero(_541588)), -(c_Groups_Osgn__class_Osgn(_541588, _541590) = c_Groups_Ouminus__class_Ouminus(_541588, c_Groups_Oone__class_Oone(_541588)))]]], (10790 ^ _164577) ^ [_542079, _542081] : [class_Rings_Olinordered__idom(_542079), c_Orderings_Oord__class_Oless(_542079, _542081, c_Groups_Ozero__class_Ozero(_542079)), -(c_Groups_Osgn__class_Osgn(_542079, _542081) = c_Groups_Ouminus__class_Ouminus(_542079, c_Groups_Oone__class_Oone(_542079)))], (10800 ^ _164577) ^ [_542398, _542400] : [class_RealVector_Oreal__normed__vector(_542398), 10803 ^ _164577 : [(10804 ^ _164577) ^ [] : [_542400 = c_Groups_Ozero__class_Ozero(_542398), -(c_RealVector_Onorm__class_Onorm(_542398, c_Groups_Osgn__class_Osgn(_542398, _542400)) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))], (10810 ^ _164577) ^ [] : [-(_542400 = c_Groups_Ozero__class_Ozero(_542398)), -(c_RealVector_Onorm__class_Onorm(_542398, c_Groups_Osgn__class_Osgn(_542398, _542400)) = c_Groups_Oone__class_Oone(tc_RealDef_Oreal))]]], (10816 ^ _164577) ^ [_542908, _542910, _542912] : [class_Rings_Oidom(_542908), -(c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(_542908), hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(_542908)), c_Polynomial_OpCons(_542908, c_Groups_Ouminus__class_Ouminus(_542908, _542910), c_Polynomial_OpCons(_542908, c_Groups_Oone__class_Oone(_542908), c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(_542908))))), c_Polynomial_Oorder(_542908, _542910, _542912)), _542912))], (10822 ^ _164577) ^ [_543218, _543220, _543222, _543224] : [class_Rings_Ocomm__semiring__0(_543218), -(c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(_543218, c_Polynomial_OpCons(_543218, _543220, _543222), _543224) = c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(_543218), c_Polynomial_Osmult(_543218, _543224, c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(_543218, _543222, _543224)), c_Polynomial_OpCons(_543218, _543220, c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(_543218, _543222, _543224))))], (10828 ^ _164577) ^ [_543498, _543500] : [class_Rings_Ocomm__semiring__1(_543498), -(c_Rings_Odvd__class_Odvd(_543498, _543500, c_Groups_Ozero__class_Ozero(_543498)))], (10834 ^ _164577) ^ [_543726, _543728, _543730] : [class_Rings_Ocomm__ring__1(_543726), 10837 ^ _164577 : [(10838 ^ _164577) ^ [] : [c_Rings_Odvd__class_Odvd(_543726, _543728, c_Groups_Ouminus__class_Ouminus(_543726, _543730)), -(c_Rings_Odvd__class_Odvd(_543726, _543728, _543730))], (10844 ^ _164577) ^ [] : [c_Rings_Odvd__class_Odvd(_543726, _543728, _543730), -(c_Rings_Odvd__class_Odvd(_543726, _543728, c_Groups_Ouminus__class_Ouminus(_543726, _543730)))]]], (10850 ^ _164577) ^ [_544229, _544231, _544233] : [class_Rings_Ocomm__ring__1(_544229), 10853 ^ _164577 : [(10854 ^ _164577) ^ [] : [c_Rings_Odvd__class_Odvd(_544229, c_Groups_Ouminus__class_Ouminus(_544229, _544231), _544233), -(c_Rings_Odvd__class_Odvd(_544229, _544231, _544233))], (10860 ^ _164577) ^ [] : [c_Rings_Odvd__class_Odvd(_544229, _544231, _544233), -(c_Rings_Odvd__class_Odvd(_544229, c_Groups_Ouminus__class_Ouminus(_544229, _544231), _544233))]]], (10866 ^ _164577) ^ [_544746, _544748, _544750, _544752] : [class_Rings_Ocomm__ring__1(_544746), c_Rings_Odvd__class_Odvd(_544746, _544748, _544750), c_Rings_Odvd__class_Odvd(_544746, _544748, _544752), -(c_Rings_Odvd__class_Odvd(_544746, _544748, c_Groups_Ominus__class_Ominus(_544746, _544750, _544752)))], (10880 ^ _164577) ^ [_545202, _545204, _545206, _545208] : [class_Rings_Ocomm__ring(_545202), class_Rings_Odvd(_545202), c_Rings_Odvd__class_Odvd(_545202, _545204, _545206), 10891 ^ _164577 : [(10892 ^ _164577) ^ [_545605, _545607] : [c_Rings_Odvd__class_Odvd(_545202, _545204, c_Groups_Oplus__class_Oplus(_545202, _545607, _545208)), -(c_Rings_Odvd__class_Odvd(_545202, _545204, c_Groups_Oplus__class_Oplus(_545202, c_Groups_Ominus__class_Ominus(_545202, _545607, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_545202), _545605), _545206)), _545208)))], (10898 ^ _164577) ^ [_545843, _545845] : [c_Rings_Odvd__class_Odvd(_545202, _545204, c_Groups_Oplus__class_Oplus(_545202, c_Groups_Ominus__class_Ominus(_545202, _545845, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_545202), _545843), _545206)), _545208)), -(c_Rings_Odvd__class_Odvd(_545202, _545204, c_Groups_Oplus__class_Oplus(_545202, _545845, _545208)))]]], (10904 ^ _164577) ^ [_546170, _546172, _546174, _546176] : [class_Rings_Ocomm__ring(_546170), class_Rings_Odvd(_546170), c_Rings_Odvd__class_Odvd(_546170, _546172, _546174), 10915 ^ _164577 : [(10916 ^ _164577) ^ [_546573, _546575] : [c_Rings_Odvd__class_Odvd(_546170, _546172, c_Groups_Oplus__class_Oplus(_546170, _546575, _546176)), -(c_Rings_Odvd__class_Odvd(_546170, _546172, c_Groups_Oplus__class_Oplus(_546170, c_Groups_Ominus__class_Ominus(_546170, _546575, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_546170), _546573), _546174)), _546176)))], (10922 ^ _164577) ^ [_546811, _546813] : [c_Rings_Odvd__class_Odvd(_546170, _546172, c_Groups_Oplus__class_Oplus(_546170, c_Groups_Ominus__class_Ominus(_546170, _546813, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_546170), _546811), _546174)), _546176)), -(c_Rings_Odvd__class_Odvd(_546170, _546172, c_Groups_Oplus__class_Oplus(_546170, _546813, _546176)))]]], (10928 ^ _164577) ^ [_547124, _547126, _547128] : [class_Rings_Odvd(_547124), class_Rings_Osemiring__0(_547124), 10935 ^ _164577 : [(10936 ^ _164577) ^ [] : [10937 ^ _164577 : [(10938 ^ _164577) ^ [_547433] : [hBOOL(hAPP(_547126, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_547124), _547128), _547433)))]], 10940 ^ _164577 : [(10941 ^ _164577) ^ [] : [-(c_Rings_Odvd__class_Odvd(_547124, _547128, c_Groups_Oplus__class_Oplus(_547124, 10939 ^ [_547124, _547126, _547128], c_Groups_Ozero__class_Ozero(_547124))))], (10943 ^ _164577) ^ [] : [-(hBOOL(hAPP(_547126, 10939 ^ [_547124, _547126, _547128])))]]], (10945 ^ _164577) ^ [] : [-(hBOOL(hAPP(_547126, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_547124), _547128), 10952 ^ [_547124, _547126, _547128])))), 10946 ^ _164577 : [(10947 ^ _164577) ^ [_547773] : [c_Rings_Odvd__class_Odvd(_547124, _547128, c_Groups_Oplus__class_Oplus(_547124, _547773, c_Groups_Ozero__class_Ozero(_547124))), hBOOL(hAPP(_547126, _547773))]]]]], (10956 ^ _164577) ^ [_548186, _548188, _548190, _548192] : [class_Rings_Ocomm__semiring__1(_548186), c_Rings_Odvd__class_Odvd(_548186, _548188, _548190), c_Rings_Odvd__class_Odvd(_548186, _548188, _548192), -(c_Rings_Odvd__class_Odvd(_548186, _548188, c_Groups_Oplus__class_Oplus(_548186, _548190, _548192)))], (10970 ^ _164577) ^ [_548614, _548616] : [class_Rings_Ocomm__semiring__1(_548614), -(c_Rings_Odvd__class_Odvd(_548614, c_Groups_Oone__class_Oone(_548614), _548616))], (10976 ^ _164577) ^ [_548842, _548844, _548846] : [class_Rings_Ocomm__semiring__0(_548842), 10979 ^ _164577 : [(10980 ^ _164577) ^ [] : [c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(_548842, _548844, _548846) = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(_548842)), -(_548844 = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(_548842)))], (10986 ^ _164577) ^ [] : [_548844 = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(_548842)), -(c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(_548842, _548844, _548846) = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(_548842)))]]], (10992 ^ _164577) ^ [_549352, _549354] : [class_Rings_Ocomm__semiring__0(_549352), -(c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(_549352, c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(_549352)), _549354) = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(_549352)))], (10998 ^ _164577) ^ [_549612, _549614, _549616, _549618] : [class_Rings_Ocomm__semiring__1(_549612), c_Rings_Odvd__class_Odvd(_549612, _549614, _549616), c_Rings_Odvd__class_Odvd(_549612, _549616, _549618), -(c_Rings_Odvd__class_Odvd(_549612, _549614, _549618))], (11012 ^ _164577) ^ [_550032, _550034] : [class_Rings_Ocomm__semiring__1(_550032), -(c_Rings_Odvd__class_Odvd(_550032, _550034, _550034))], (11018 ^ _164577) ^ [_550270, _550272, _550274, _550276] : [class_Rings_Ocomm__semiring__1(_550270), c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(_550270), _550272, _550274), -(c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(_550270), _550272, c_Polynomial_Osmult(_550270, _550276, _550274)))], (11028 ^ _164577) ^ [_550635, _550637, _550639, _550641] : [class_Rings_Ocomm__semiring__1(_550635), c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(_550635), c_Polynomial_Osmult(_550635, _550637, _550639), _550641), -(c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(_550635), _550639, _550641))], (11038 ^ _164577) ^ [_550958] : [class_Groups_Ocancel__comm__monoid__add(_550958), -(class_Groups_Ocancel__comm__monoid__add(tc_Polynomial_Opoly(_550958)))], (11044 ^ _164577) ^ [] : [-(class_Groups_Ocancel__comm__monoid__add(tc_Complex_Ocomplex))], (11046 ^ _164577) ^ [] : [-(class_Groups_Ocancel__comm__monoid__add(tc_RealDef_Oreal))], (11048 ^ _164577) ^ [] : [-(class_Groups_Ocancel__comm__monoid__add(tc_Nat_Onat))], (11050 ^ _164577) ^ [] : [-(class_Groups_Ocancel__comm__monoid__add(tc_Int_Oint))], (11052 ^ _164577) ^ [_551374, _551376] : [class_Lattices_Oboolean__algebra(_551374), -(class_Lattices_Oboolean__algebra(tc_fun(_551376, _551374)))], (11058 ^ _164577) ^ [_551586, _551588] : [class_Orderings_Opreorder(_551586), -(class_Orderings_Opreorder(tc_fun(_551588, _551586)))], (11064 ^ _164577) ^ [_551798, _551800] : [class_Orderings_Oorder(_551798), -(class_Orderings_Oorder(tc_fun(_551800, _551798)))], (11070 ^ _164577) ^ [_552010, _552012] : [class_Orderings_Oord(_552010), -(class_Orderings_Oord(tc_fun(_552012, _552010)))], (11076 ^ _164577) ^ [_552222, _552224] : [class_Groups_Ouminus(_552222), -(class_Groups_Ouminus(tc_fun(_552224, _552222)))], (11082 ^ _164577) ^ [_552434, _552436] : [class_Groups_Ominus(_552434), -(class_Groups_Ominus(tc_fun(_552436, _552434)))], (11088 ^ _164577) ^ [] : [-(class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(tc_Int_Oint))], (11090 ^ _164577) ^ [] : [-(class_Groups_Oordered__cancel__ab__semigroup__add(tc_Int_Oint))], (11092 ^ _164577) ^ [] : [-(class_Groups_Oordered__ab__semigroup__add__imp__le(tc_Int_Oint))], (11094 ^ _164577) ^ [] : [-(class_Rings_Olinordered__comm__semiring__strict(tc_Int_Oint))], (11096 ^ _164577) ^ [] : [-(class_Rings_Olinordered__semiring__1__strict(tc_Int_Oint))], (11098 ^ _164577) ^ [] : [-(class_Rings_Olinordered__semiring__strict(tc_Int_Oint))], (11100 ^ _164577) ^ [] : [-(class_Groups_Oordered__ab__semigroup__add(tc_Int_Oint))], (11102 ^ _164577) ^ [] : [-(class_Groups_Oordered__ab__group__add__abs(tc_Int_Oint))], (11104 ^ _164577) ^ [] : [-(class_Groups_Oordered__comm__monoid__add(tc_Int_Oint))], (11106 ^ _164577) ^ [] : [-(class_Groups_Olinordered__ab__group__add(tc_Int_Oint))], (11108 ^ _164577) ^ [] : [-(class_Groups_Ocancel__ab__semigroup__add(tc_Int_Oint))], (11110 ^ _164577) ^ [] : [-(class_Rings_Oring__1__no__zero__divisors(tc_Int_Oint))], (11112 ^ _164577) ^ [] : [-(class_Rings_Oordered__cancel__semiring(tc_Int_Oint))], (11114 ^ _164577) ^ [] : [-(class_Rings_Olinordered__ring__strict(tc_Int_Oint))], (11116 ^ _164577) ^ [] : [-(class_Rings_Oring__no__zero__divisors(tc_Int_Oint))], (11118 ^ _164577) ^ [] : [-(class_Rings_Oordered__comm__semiring(tc_Int_Oint))], (11120 ^ _164577) ^ [] : [-(class_Rings_Olinordered__semiring__1(tc_Int_Oint))], (11122 ^ _164577) ^ [] : [-(class_Groups_Oordered__ab__group__add(tc_Int_Oint))], (11124 ^ _164577) ^ [] : [-(class_Groups_Ocancel__semigroup__add(tc_Int_Oint))], (11126 ^ _164577) ^ [] : [-(class_Rings_Olinordered__semiring(tc_Int_Oint))], (11128 ^ _164577) ^ [] : [-(class_Rings_Olinordered__semidom(tc_Int_Oint))], (11130 ^ _164577) ^ [] : [-(class_Groups_Oab__semigroup__mult(tc_Int_Oint))], (11132 ^ _164577) ^ [] : [-(class_Groups_Ocomm__monoid__mult(tc_Int_Oint))], (11134 ^ _164577) ^ [] : [-(class_Groups_Oab__semigroup__add(tc_Int_Oint))], (11136 ^ _164577) ^ [] : [-(class_Rings_Oordered__semiring(tc_Int_Oint))], (11138 ^ _164577) ^ [] : [-(class_Rings_Oordered__ring__abs(tc_Int_Oint))], (11140 ^ _164577) ^ [] : [-(class_Rings_Ono__zero__divisors(tc_Int_Oint))], (11142 ^ _164577) ^ [] : [-(class_Groups_Ocomm__monoid__add(tc_Int_Oint))], (11144 ^ _164577) ^ [] : [-(class_Rings_Olinordered__ring(tc_Int_Oint))], (11146 ^ _164577) ^ [] : [-(class_Rings_Olinordered__idom(tc_Int_Oint))], (11148 ^ _164577) ^ [] : [-(class_Rings_Ocomm__semiring__1(tc_Int_Oint))], (11150 ^ _164577) ^ [] : [-(class_Rings_Ocomm__semiring__0(tc_Int_Oint))], (11152 ^ _164577) ^ [] : [-(class_Rings_Ocomm__semiring(tc_Int_Oint))], (11154 ^ _164577) ^ [] : [-(class_Groups_Oab__group__add(tc_Int_Oint))], (11156 ^ _164577) ^ [] : [-(class_Rings_Ozero__neq__one(tc_Int_Oint))], (11158 ^ _164577) ^ [] : [-(class_Rings_Oordered__ring(tc_Int_Oint))], (11160 ^ _164577) ^ [] : [-(class_Orderings_Opreorder(tc_Int_Oint))], (11162 ^ _164577) ^ [] : [-(class_Orderings_Olinorder(tc_Int_Oint))], (11164 ^ _164577) ^ [] : [-(class_Groups_Omonoid__mult(tc_Int_Oint))], (11166 ^ _164577) ^ [] : [-(class_Rings_Ocomm__ring__1(tc_Int_Oint))], (11168 ^ _164577) ^ [] : [-(class_Groups_Omonoid__add(tc_Int_Oint))], (11170 ^ _164577) ^ [] : [-(class_Rings_Osemiring__0(tc_Int_Oint))], (11172 ^ _164577) ^ [] : [-(class_Groups_Ogroup__add(tc_Int_Oint))], (11174 ^ _164577) ^ [] : [-(class_Rings_Omult__zero(tc_Int_Oint))], (11176 ^ _164577) ^ [] : [-(class_Rings_Ocomm__ring(tc_Int_Oint))], (11178 ^ _164577) ^ [] : [-(class_Orderings_Oorder(tc_Int_Oint))], (11180 ^ _164577) ^ [] : [-(class_Int_Oring__char__0(tc_Int_Oint))], (11182 ^ _164577) ^ [] : [-(class_Rings_Osemiring(tc_Int_Oint))], (11184 ^ _164577) ^ [] : [-(class_Orderings_Oord(tc_Int_Oint))], (11186 ^ _164577) ^ [] : [-(class_Groups_Ouminus(tc_Int_Oint))], (11188 ^ _164577) ^ [] : [-(class_Groups_Osgn__if(tc_Int_Oint))], (11190 ^ _164577) ^ [] : [-(class_Groups_Oabs__if(tc_Int_Oint))], (11192 ^ _164577) ^ [] : [-(class_Rings_Oring__1(tc_Int_Oint))], (11194 ^ _164577) ^ [] : [-(class_Groups_Ominus(tc_Int_Oint))], (11196 ^ _164577) ^ [] : [-(class_Power_Opower(tc_Int_Oint))], (11198 ^ _164577) ^ [] : [-(class_Groups_Ozero(tc_Int_Oint))], (11200 ^ _164577) ^ [] : [-(class_Rings_Oring(tc_Int_Oint))], (11202 ^ _164577) ^ [] : [-(class_Rings_Oidom(tc_Int_Oint))], (11204 ^ _164577) ^ [] : [-(class_Groups_Oone(tc_Int_Oint))], (11206 ^ _164577) ^ [] : [-(class_Rings_Odvd(tc_Int_Oint))], (11208 ^ _164577) ^ [] : [-(class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(tc_Nat_Onat))], (11210 ^ _164577) ^ [] : [-(class_Groups_Oordered__cancel__ab__semigroup__add(tc_Nat_Onat))], (11212 ^ _164577) ^ [] : [-(class_Groups_Oordered__ab__semigroup__add__imp__le(tc_Nat_Onat))], (11214 ^ _164577) ^ [] : [-(class_Rings_Olinordered__comm__semiring__strict(tc_Nat_Onat))], (11216 ^ _164577) ^ [] : [-(class_Rings_Olinordered__semiring__strict(tc_Nat_Onat))], (11218 ^ _164577) ^ [] : [-(class_Groups_Oordered__ab__semigroup__add(tc_Nat_Onat))], (11220 ^ _164577) ^ [] : [-(class_Groups_Oordered__comm__monoid__add(tc_Nat_Onat))], (11222 ^ _164577) ^ [] : [-(class_Groups_Ocancel__ab__semigroup__add(tc_Nat_Onat))], (11224 ^ _164577) ^ [] : [-(class_Rings_Oordered__cancel__semiring(tc_Nat_Onat))], (11226 ^ _164577) ^ [] : [-(class_Rings_Oordered__comm__semiring(tc_Nat_Onat))], (11228 ^ _164577) ^ [] : [-(class_Groups_Ocancel__semigroup__add(tc_Nat_Onat))], (11230 ^ _164577) ^ [] : [-(class_Rings_Olinordered__semiring(tc_Nat_Onat))], (11232 ^ _164577) ^ [] : [-(class_Rings_Olinordered__semidom(tc_Nat_Onat))], (11234 ^ _164577) ^ [] : [-(class_Groups_Oab__semigroup__mult(tc_Nat_Onat))], (11236 ^ _164577) ^ [] : [-(class_Groups_Ocomm__monoid__mult(tc_Nat_Onat))], (11238 ^ _164577) ^ [] : [-(class_Groups_Oab__semigroup__add(tc_Nat_Onat))], (11240 ^ _164577) ^ [] : [-(class_Rings_Oordered__semiring(tc_Nat_Onat))], (11242 ^ _164577) ^ [] : [-(class_Rings_Ono__zero__divisors(tc_Nat_Onat))], (11244 ^ _164577) ^ [] : [-(class_Groups_Ocomm__monoid__add(tc_Nat_Onat))], (11246 ^ _164577) ^ [] : [-(class_Rings_Ocomm__semiring__1(tc_Nat_Onat))], (11248 ^ _164577) ^ [] : [-(class_Rings_Ocomm__semiring__0(tc_Nat_Onat))], (11250 ^ _164577) ^ [] : [-(class_Rings_Ocomm__semiring(tc_Nat_Onat))], (11252 ^ _164577) ^ [] : [-(class_Rings_Ozero__neq__one(tc_Nat_Onat))], (11254 ^ _164577) ^ [] : [-(class_Orderings_Opreorder(tc_Nat_Onat))], (11256 ^ _164577) ^ [] : [-(class_Orderings_Olinorder(tc_Nat_Onat))], (11258 ^ _164577) ^ [] : [-(class_Groups_Omonoid__mult(tc_Nat_Onat))], (11260 ^ _164577) ^ [] : [-(class_Groups_Omonoid__add(tc_Nat_Onat))], (11262 ^ _164577) ^ [] : [-(class_Rings_Osemiring__0(tc_Nat_Onat))], (11264 ^ _164577) ^ [] : [-(class_Rings_Omult__zero(tc_Nat_Onat))], (11266 ^ _164577) ^ [] : [-(class_Orderings_Oorder(tc_Nat_Onat))], (11268 ^ _164577) ^ [] : [-(class_Rings_Osemiring(tc_Nat_Onat))], (11270 ^ _164577) ^ [] : [-(class_Orderings_Oord(tc_Nat_Onat))], (11272 ^ _164577) ^ [] : [-(class_Groups_Ominus(tc_Nat_Onat))], (11274 ^ _164577) ^ [] : [-(class_Power_Opower(tc_Nat_Onat))], (11276 ^ _164577) ^ [] : [-(class_Groups_Ozero(tc_Nat_Onat))], (11278 ^ _164577) ^ [] : [-(class_Groups_Oone(tc_Nat_Onat))], (11280 ^ _164577) ^ [] : [-(class_Rings_Odvd(tc_Nat_Onat))], (11282 ^ _164577) ^ [] : [-(class_Lattices_Oboolean__algebra(tc_HOL_Obool))], (11284 ^ _164577) ^ [] : [-(class_Orderings_Opreorder(tc_HOL_Obool))], (11286 ^ _164577) ^ [] : [-(class_Orderings_Oorder(tc_HOL_Obool))], (11288 ^ _164577) ^ [] : [-(class_Orderings_Oord(tc_HOL_Obool))], (11290 ^ _164577) ^ [] : [-(class_Groups_Ouminus(tc_HOL_Obool))], (11292 ^ _164577) ^ [] : [-(class_Groups_Ominus(tc_HOL_Obool))], (11294 ^ _164577) ^ [] : [-(class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(tc_RealDef_Oreal))], (11296 ^ _164577) ^ [] : [-(class_Groups_Oordered__cancel__ab__semigroup__add(tc_RealDef_Oreal))], (11298 ^ _164577) ^ [] : [-(class_Groups_Oordered__ab__semigroup__add__imp__le(tc_RealDef_Oreal))], (11300 ^ _164577) ^ [] : [-(class_Rings_Olinordered__comm__semiring__strict(tc_RealDef_Oreal))], (11302 ^ _164577) ^ [] : [-(class_Fields_Olinordered__field__inverse__zero(tc_RealDef_Oreal))], (11304 ^ _164577) ^ [] : [-(class_Rings_Olinordered__semiring__1__strict(tc_RealDef_Oreal))], (11306 ^ _164577) ^ [] : [-(class_RealVector_Oreal__normed__div__algebra(tc_RealDef_Oreal))], (11308 ^ _164577) ^ [] : [-(class_Rings_Olinordered__semiring__strict(tc_RealDef_Oreal))], (11310 ^ _164577) ^ [] : [-(class_Rings_Odivision__ring__inverse__zero(tc_RealDef_Oreal))], (11312 ^ _164577) ^ [] : [-(class_RealVector_Oreal__normed__algebra__1(tc_RealDef_Oreal))], (11314 ^ _164577) ^ [] : [-(class_Groups_Oordered__ab__semigroup__add(tc_RealDef_Oreal))], (11316 ^ _164577) ^ [] : [-(class_Groups_Oordered__ab__group__add__abs(tc_RealDef_Oreal))], (11318 ^ _164577) ^ [] : [-(class_RealVector_Oreal__normed__algebra(tc_RealDef_Oreal))], (11320 ^ _164577) ^ [] : [-(class_Groups_Oordered__comm__monoid__add(tc_RealDef_Oreal))], (11322 ^ _164577) ^ [] : [-(class_Groups_Olinordered__ab__group__add(tc_RealDef_Oreal))], (11324 ^ _164577) ^ [] : [-(class_Groups_Ocancel__ab__semigroup__add(tc_RealDef_Oreal))], (11326 ^ _164577) ^ [] : [-(class_Rings_Oring__1__no__zero__divisors(tc_RealDef_Oreal))], (11328 ^ _164577) ^ [] : [-(class_Rings_Oordered__cancel__semiring(tc_RealDef_Oreal))], (11330 ^ _164577) ^ [] : [-(class_RealVector_Oreal__normed__vector(tc_RealDef_Oreal))], (11332 ^ _164577) ^ [] : [-(class_Rings_Olinordered__ring__strict(tc_RealDef_Oreal))], (11334 ^ _164577) ^ [] : [-(class_Rings_Oring__no__zero__divisors(tc_RealDef_Oreal))], (11336 ^ _164577) ^ [] : [-(class_Rings_Oordered__comm__semiring(tc_RealDef_Oreal))], (11338 ^ _164577) ^ [] : [-(class_Rings_Olinordered__semiring__1(tc_RealDef_Oreal))], (11340 ^ _164577) ^ [] : [-(class_RealVector_Oreal__div__algebra(tc_RealDef_Oreal))], (11342 ^ _164577) ^ [] : [-(class_Groups_Oordered__ab__group__add(tc_RealDef_Oreal))], (11344 ^ _164577) ^ [] : [-(class_Groups_Ocancel__semigroup__add(tc_RealDef_Oreal))], (11346 ^ _164577) ^ [] : [-(class_Rings_Olinordered__semiring(tc_RealDef_Oreal))], (11348 ^ _164577) ^ [] : [-(class_RealVector_Oreal__algebra__1(tc_RealDef_Oreal))], (11350 ^ _164577) ^ [] : [-(class_Fields_Ofield__inverse__zero(tc_RealDef_Oreal))], (11352 ^ _164577) ^ [] : [-(class_Rings_Olinordered__semidom(tc_RealDef_Oreal))], (11354 ^ _164577) ^ [] : [-(class_Groups_Oab__semigroup__mult(tc_RealDef_Oreal))], (11356 ^ _164577) ^ [] : [-(class_Groups_Ocomm__monoid__mult(tc_RealDef_Oreal))], (11358 ^ _164577) ^ [] : [-(class_Groups_Oab__semigroup__add(tc_RealDef_Oreal))], (11360 ^ _164577) ^ [] : [-(class_Fields_Olinordered__field(tc_RealDef_Oreal))], (11362 ^ _164577) ^ [] : [-(class_Rings_Oordered__semiring(tc_RealDef_Oreal))], (11364 ^ _164577) ^ [] : [-(class_Rings_Oordered__ring__abs(tc_RealDef_Oreal))], (11366 ^ _164577) ^ [] : [-(class_Rings_Ono__zero__divisors(tc_RealDef_Oreal))], (11368 ^ _164577) ^ [] : [-(class_Groups_Ocomm__monoid__add(tc_RealDef_Oreal))], (11370 ^ _164577) ^ [] : [-(class_Rings_Olinordered__ring(tc_RealDef_Oreal))], (11372 ^ _164577) ^ [] : [-(class_Rings_Olinordered__idom(tc_RealDef_Oreal))], (11374 ^ _164577) ^ [] : [-(class_Rings_Ocomm__semiring__1(tc_RealDef_Oreal))], (11376 ^ _164577) ^ [] : [-(class_Rings_Ocomm__semiring__0(tc_RealDef_Oreal))], (11378 ^ _164577) ^ [] : [-(class_Rings_Odivision__ring(tc_RealDef_Oreal))], (11380 ^ _164577) ^ [] : [-(class_Rings_Ocomm__semiring(tc_RealDef_Oreal))], (11382 ^ _164577) ^ [] : [-(class_Groups_Oab__group__add(tc_RealDef_Oreal))], (11384 ^ _164577) ^ [] : [-(class_Rings_Ozero__neq__one(tc_RealDef_Oreal))], (11386 ^ _164577) ^ [] : [-(class_Rings_Oordered__ring(tc_RealDef_Oreal))], (11388 ^ _164577) ^ [] : [-(class_Orderings_Opreorder(tc_RealDef_Oreal))], (11390 ^ _164577) ^ [] : [-(class_Orderings_Olinorder(tc_RealDef_Oreal))], (11392 ^ _164577) ^ [] : [-(class_Groups_Omonoid__mult(tc_RealDef_Oreal))], (11394 ^ _164577) ^ [] : [-(class_Rings_Ocomm__ring__1(tc_RealDef_Oreal))], (11396 ^ _164577) ^ [] : [-(class_Groups_Omonoid__add(tc_RealDef_Oreal))], (11398 ^ _164577) ^ [] : [-(class_Rings_Osemiring__0(tc_RealDef_Oreal))], (11400 ^ _164577) ^ [] : [-(class_Groups_Ogroup__add(tc_RealDef_Oreal))], (11402 ^ _164577) ^ [] : [-(class_Rings_Omult__zero(tc_RealDef_Oreal))], (11404 ^ _164577) ^ [] : [-(class_Rings_Ocomm__ring(tc_RealDef_Oreal))], (11406 ^ _164577) ^ [] : [-(class_Orderings_Oorder(tc_RealDef_Oreal))], (11408 ^ _164577) ^ [] : [-(class_Int_Oring__char__0(tc_RealDef_Oreal))], (11410 ^ _164577) ^ [] : [-(class_Rings_Osemiring(tc_RealDef_Oreal))], (11412 ^ _164577) ^ [] : [-(class_Orderings_Oord(tc_RealDef_Oreal))], (11414 ^ _164577) ^ [] : [-(class_Groups_Ouminus(tc_RealDef_Oreal))], (11416 ^ _164577) ^ [] : [-(class_Groups_Osgn__if(tc_RealDef_Oreal))], (11418 ^ _164577) ^ [] : [-(class_Groups_Oabs__if(tc_RealDef_Oreal))], (11420 ^ _164577) ^ [] : [-(class_Rings_Oring__1(tc_RealDef_Oreal))], (11422 ^ _164577) ^ [] : [-(class_Groups_Ominus(tc_RealDef_Oreal))], (11424 ^ _164577) ^ [] : [-(class_Fields_Ofield(tc_RealDef_Oreal))], (11426 ^ _164577) ^ [] : [-(class_Power_Opower(tc_RealDef_Oreal))], (11428 ^ _164577) ^ [] : [-(class_Groups_Ozero(tc_RealDef_Oreal))], (11430 ^ _164577) ^ [] : [-(class_Rings_Oring(tc_RealDef_Oreal))], (11432 ^ _164577) ^ [] : [-(class_Rings_Oidom(tc_RealDef_Oreal))], (11434 ^ _164577) ^ [] : [-(class_Groups_Oone(tc_RealDef_Oreal))], (11436 ^ _164577) ^ [] : [-(class_Rings_Odvd(tc_RealDef_Oreal))], (11438 ^ _164577) ^ [] : [-(class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(tc_Complex_Ocomplex))], (11440 ^ _164577) ^ [] : [-(class_RealVector_Oreal__normed__div__algebra(tc_Complex_Ocomplex))], (11442 ^ _164577) ^ [] : [-(class_Rings_Odivision__ring__inverse__zero(tc_Complex_Ocomplex))], (11444 ^ _164577) ^ [] : [-(class_RealVector_Oreal__normed__algebra__1(tc_Complex_Ocomplex))], (11446 ^ _164577) ^ [] : [-(class_RealVector_Oreal__normed__algebra(tc_Complex_Ocomplex))], (11448 ^ _164577) ^ [] : [-(class_Groups_Ocancel__ab__semigroup__add(tc_Complex_Ocomplex))], (11450 ^ _164577) ^ [] : [-(class_Rings_Oring__1__no__zero__divisors(tc_Complex_Ocomplex))], (11452 ^ _164577) ^ [] : [-(class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex))], (11454 ^ _164577) ^ [] : [-(class_Rings_Oring__no__zero__divisors(tc_Complex_Ocomplex))], (11456 ^ _164577) ^ [] : [-(class_RealVector_Oreal__div__algebra(tc_Complex_Ocomplex))], (11458 ^ _164577) ^ [] : [-(class_Groups_Ocancel__semigroup__add(tc_Complex_Ocomplex))], (11460 ^ _164577) ^ [] : [-(class_RealVector_Oreal__algebra__1(tc_Complex_Ocomplex))], (11462 ^ _164577) ^ [] : [-(class_Fields_Ofield__inverse__zero(tc_Complex_Ocomplex))], (11464 ^ _164577) ^ [] : [-(class_Groups_Oab__semigroup__mult(tc_Complex_Ocomplex))], (11466 ^ _164577) ^ [] : [-(class_Groups_Ocomm__monoid__mult(tc_Complex_Ocomplex))], (11468 ^ _164577) ^ [] : [-(class_Groups_Oab__semigroup__add(tc_Complex_Ocomplex))], (11470 ^ _164577) ^ [] : [-(class_Rings_Ono__zero__divisors(tc_Complex_Ocomplex))], (11472 ^ _164577) ^ [] : [-(class_Groups_Ocomm__monoid__add(tc_Complex_Ocomplex))], (11474 ^ _164577) ^ [] : [-(class_Rings_Ocomm__semiring__1(tc_Complex_Ocomplex))], (11476 ^ _164577) ^ [] : [-(class_Rings_Ocomm__semiring__0(tc_Complex_Ocomplex))], (11478 ^ _164577) ^ [] : [-(class_Rings_Odivision__ring(tc_Complex_Ocomplex))], (11480 ^ _164577) ^ [] : [-(class_Rings_Ocomm__semiring(tc_Complex_Ocomplex))], (11482 ^ _164577) ^ [] : [-(class_Groups_Oab__group__add(tc_Complex_Ocomplex))], (11484 ^ _164577) ^ [] : [-(class_Rings_Ozero__neq__one(tc_Complex_Ocomplex))], (11486 ^ _164577) ^ [] : [-(class_Groups_Omonoid__mult(tc_Complex_Ocomplex))], (11488 ^ _164577) ^ [] : [-(class_Rings_Ocomm__ring__1(tc_Complex_Ocomplex))], (11490 ^ _164577) ^ [] : [-(class_Groups_Omonoid__add(tc_Complex_Ocomplex))], (11492 ^ _164577) ^ [] : [-(class_Rings_Osemiring__0(tc_Complex_Ocomplex))], (11494 ^ _164577) ^ [] : [-(class_Groups_Ogroup__add(tc_Complex_Ocomplex))], (11496 ^ _164577) ^ [] : [-(class_Rings_Omult__zero(tc_Complex_Ocomplex))], (11498 ^ _164577) ^ [] : [-(class_Rings_Ocomm__ring(tc_Complex_Ocomplex))], (11500 ^ _164577) ^ [] : [-(class_Int_Oring__char__0(tc_Complex_Ocomplex))], (11502 ^ _164577) ^ [] : [-(class_Rings_Osemiring(tc_Complex_Ocomplex))], (11504 ^ _164577) ^ [] : [-(class_Groups_Ouminus(tc_Complex_Ocomplex))], (11506 ^ _164577) ^ [] : [-(class_Rings_Oring__1(tc_Complex_Ocomplex))], (11508 ^ _164577) ^ [] : [-(class_Groups_Ominus(tc_Complex_Ocomplex))], (11510 ^ _164577) ^ [] : [-(class_Fields_Ofield(tc_Complex_Ocomplex))], (11512 ^ _164577) ^ [] : [-(class_Power_Opower(tc_Complex_Ocomplex))], (11514 ^ _164577) ^ [] : [-(class_Groups_Ozero(tc_Complex_Ocomplex))], (11516 ^ _164577) ^ [] : [-(class_Rings_Oring(tc_Complex_Ocomplex))], (11518 ^ _164577) ^ [] : [-(class_Rings_Oidom(tc_Complex_Ocomplex))], (11520 ^ _164577) ^ [] : [-(class_Groups_Oone(tc_Complex_Ocomplex))], (11522 ^ _164577) ^ [] : [-(class_Rings_Odvd(tc_Complex_Ocomplex))], (11524 ^ _164577) ^ [_564186] : [class_Rings_Oidom(_564186), -(class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(tc_Polynomial_Opoly(_564186)))], (11530 ^ _164577) ^ [_564376] : [class_Rings_Olinordered__idom(_564376), -(class_Groups_Oordered__cancel__ab__semigroup__add(tc_Polynomial_Opoly(_564376)))], (11536 ^ _164577) ^ [_564566] : [class_Rings_Olinordered__idom(_564566), -(class_Groups_Oordered__ab__semigroup__add__imp__le(tc_Polynomial_Opoly(_564566)))], (11542 ^ _164577) ^ [_564756] : [class_Rings_Olinordered__idom(_564756), -(class_Rings_Olinordered__comm__semiring__strict(tc_Polynomial_Opoly(_564756)))], (11548 ^ _164577) ^ [_564946] : [class_Rings_Olinordered__idom(_564946), -(class_Rings_Olinordered__semiring__1__strict(tc_Polynomial_Opoly(_564946)))], (11554 ^ _164577) ^ [_565136] : [class_Rings_Olinordered__idom(_565136), -(class_Rings_Olinordered__semiring__strict(tc_Polynomial_Opoly(_565136)))], (11560 ^ _164577) ^ [_565326] : [class_Rings_Olinordered__idom(_565326), -(class_Groups_Oordered__ab__semigroup__add(tc_Polynomial_Opoly(_565326)))], (11566 ^ _164577) ^ [_565516] : [class_Rings_Olinordered__idom(_565516), -(class_Groups_Oordered__ab__group__add__abs(tc_Polynomial_Opoly(_565516)))], (11572 ^ _164577) ^ [_565706] : [class_Rings_Olinordered__idom(_565706), -(class_Groups_Oordered__comm__monoid__add(tc_Polynomial_Opoly(_565706)))], (11578 ^ _164577) ^ [_565896] : [class_Rings_Olinordered__idom(_565896), -(class_Groups_Olinordered__ab__group__add(tc_Polynomial_Opoly(_565896)))], (11584 ^ _164577) ^ [_566086] : [class_Groups_Ocancel__comm__monoid__add(_566086), -(class_Groups_Ocancel__ab__semigroup__add(tc_Polynomial_Opoly(_566086)))], (11590 ^ _164577) ^ [_566276] : [class_Rings_Oidom(_566276), -(class_Rings_Oring__1__no__zero__divisors(tc_Polynomial_Opoly(_566276)))], (11596 ^ _164577) ^ [_566466] : [class_Rings_Olinordered__idom(_566466), -(class_Rings_Oordered__cancel__semiring(tc_Polynomial_Opoly(_566466)))], (11602 ^ _164577) ^ [_566656] : [class_Rings_Olinordered__idom(_566656), -(class_Rings_Olinordered__ring__strict(tc_Polynomial_Opoly(_566656)))], (11608 ^ _164577) ^ [_566846] : [class_Rings_Oidom(_566846), -(class_Rings_Oring__no__zero__divisors(tc_Polynomial_Opoly(_566846)))], (11614 ^ _164577) ^ [_567036] : [class_Rings_Olinordered__idom(_567036), -(class_Rings_Oordered__comm__semiring(tc_Polynomial_Opoly(_567036)))], (11620 ^ _164577) ^ [_567226] : [class_Rings_Olinordered__idom(_567226), -(class_Rings_Olinordered__semiring__1(tc_Polynomial_Opoly(_567226)))], (11626 ^ _164577) ^ [_567416] : [class_Rings_Olinordered__idom(_567416), -(class_Groups_Oordered__ab__group__add(tc_Polynomial_Opoly(_567416)))], (11632 ^ _164577) ^ [_567606] : [class_Groups_Ocancel__comm__monoid__add(_567606), -(class_Groups_Ocancel__semigroup__add(tc_Polynomial_Opoly(_567606)))], (11638 ^ _164577) ^ [_567796] : [class_Rings_Olinordered__idom(_567796), -(class_Rings_Olinordered__semiring(tc_Polynomial_Opoly(_567796)))], (11644 ^ _164577) ^ [_567986] : [class_Rings_Olinordered__idom(_567986), -(class_Rings_Olinordered__semidom(tc_Polynomial_Opoly(_567986)))], (11650 ^ _164577) ^ [_568176] : [class_Rings_Ocomm__semiring__0(_568176), -(class_Groups_Oab__semigroup__mult(tc_Polynomial_Opoly(_568176)))], (11656 ^ _164577) ^ [_568366] : [class_Rings_Ocomm__semiring__1(_568366), -(class_Groups_Ocomm__monoid__mult(tc_Polynomial_Opoly(_568366)))], (11662 ^ _164577) ^ [_568556] : [class_Groups_Ocomm__monoid__add(_568556), -(class_Groups_Oab__semigroup__add(tc_Polynomial_Opoly(_568556)))], (11668 ^ _164577) ^ [_568746] : [class_Rings_Olinordered__idom(_568746), -(class_Rings_Oordered__semiring(tc_Polynomial_Opoly(_568746)))], (11674 ^ _164577) ^ [_568936] : [class_Rings_Olinordered__idom(_568936), -(class_Rings_Oordered__ring__abs(tc_Polynomial_Opoly(_568936)))], (11680 ^ _164577) ^ [_569126] : [class_Rings_Oidom(_569126), -(class_Rings_Ono__zero__divisors(tc_Polynomial_Opoly(_569126)))], (11686 ^ _164577) ^ [_569316] : [class_Groups_Ocomm__monoid__add(_569316), -(class_Groups_Ocomm__monoid__add(tc_Polynomial_Opoly(_569316)))], (11692 ^ _164577) ^ [_569506] : [class_Rings_Olinordered__idom(_569506), -(class_Rings_Olinordered__ring(tc_Polynomial_Opoly(_569506)))], (11698 ^ _164577) ^ [_569696] : [class_Rings_Olinordered__idom(_569696), -(class_Rings_Olinordered__idom(tc_Polynomial_Opoly(_569696)))], (11704 ^ _164577) ^ [_569886] : [class_Rings_Ocomm__semiring__1(_569886), -(class_Rings_Ocomm__semiring__1(tc_Polynomial_Opoly(_569886)))], (11710 ^ _164577) ^ [_570076] : [class_Rings_Ocomm__semiring__0(_570076), -(class_Rings_Ocomm__semiring__0(tc_Polynomial_Opoly(_570076)))], (11716 ^ _164577) ^ [_570266] : [class_Rings_Ocomm__semiring__0(_570266), -(class_Rings_Ocomm__semiring(tc_Polynomial_Opoly(_570266)))], (11722 ^ _164577) ^ [_570456] : [class_Groups_Oab__group__add(_570456), -(class_Groups_Oab__group__add(tc_Polynomial_Opoly(_570456)))], (11728 ^ _164577) ^ [_570646] : [class_Rings_Ocomm__semiring__1(_570646), -(class_Rings_Ozero__neq__one(tc_Polynomial_Opoly(_570646)))], (11734 ^ _164577) ^ [_570836] : [class_Rings_Olinordered__idom(_570836), -(class_Rings_Oordered__ring(tc_Polynomial_Opoly(_570836)))], (11740 ^ _164577) ^ [_571026] : [class_Rings_Olinordered__idom(_571026), -(class_Orderings_Opreorder(tc_Polynomial_Opoly(_571026)))], (11746 ^ _164577) ^ [_571216] : [class_Rings_Olinordered__idom(_571216), -(class_Orderings_Olinorder(tc_Polynomial_Opoly(_571216)))], (11752 ^ _164577) ^ [_571406] : [class_Rings_Ocomm__semiring__1(_571406), -(class_Groups_Omonoid__mult(tc_Polynomial_Opoly(_571406)))], (11758 ^ _164577) ^ [_571596] : [class_Rings_Ocomm__ring__1(_571596), -(class_Rings_Ocomm__ring__1(tc_Polynomial_Opoly(_571596)))], (11764 ^ _164577) ^ [_571786] : [class_Groups_Ocomm__monoid__add(_571786), -(class_Groups_Omonoid__add(tc_Polynomial_Opoly(_571786)))], (11770 ^ _164577) ^ [_571976] : [class_Rings_Ocomm__semiring__0(_571976), -(class_Rings_Osemiring__0(tc_Polynomial_Opoly(_571976)))], (11776 ^ _164577) ^ [_572166] : [class_Groups_Oab__group__add(_572166), -(class_Groups_Ogroup__add(tc_Polynomial_Opoly(_572166)))], (11782 ^ _164577) ^ [_572356] : [class_Rings_Ocomm__semiring__0(_572356), -(class_Rings_Omult__zero(tc_Polynomial_Opoly(_572356)))], (11788 ^ _164577) ^ [_572546] : [class_Rings_Ocomm__ring(_572546), -(class_Rings_Ocomm__ring(tc_Polynomial_Opoly(_572546)))], (11794 ^ _164577) ^ [_572736] : [class_Rings_Olinordered__idom(_572736), -(class_Orderings_Oorder(tc_Polynomial_Opoly(_572736)))], (11800 ^ _164577) ^ [_572926] : [class_Rings_Olinordered__idom(_572926), -(class_Int_Oring__char__0(tc_Polynomial_Opoly(_572926)))], (11806 ^ _164577) ^ [_573116] : [class_Rings_Ocomm__semiring__0(_573116), -(class_Rings_Osemiring(tc_Polynomial_Opoly(_573116)))], (11812 ^ _164577) ^ [_573306] : [class_Rings_Olinordered__idom(_573306), -(class_Orderings_Oord(tc_Polynomial_Opoly(_573306)))], (11818 ^ _164577) ^ [_573496] : [class_Groups_Oab__group__add(_573496), -(class_Groups_Ouminus(tc_Polynomial_Opoly(_573496)))], (11824 ^ _164577) ^ [_573686] : [class_Rings_Olinordered__idom(_573686), -(class_Groups_Osgn__if(tc_Polynomial_Opoly(_573686)))], (11830 ^ _164577) ^ [_573876] : [class_Rings_Olinordered__idom(_573876), -(class_Groups_Oabs__if(tc_Polynomial_Opoly(_573876)))], (11836 ^ _164577) ^ [_574066] : [class_Rings_Ocomm__ring__1(_574066), -(class_Rings_Oring__1(tc_Polynomial_Opoly(_574066)))], (11842 ^ _164577) ^ [_574256] : [class_Groups_Oab__group__add(_574256), -(class_Groups_Ominus(tc_Polynomial_Opoly(_574256)))], (11848 ^ _164577) ^ [_574446] : [class_Rings_Ocomm__semiring__1(_574446), -(class_Power_Opower(tc_Polynomial_Opoly(_574446)))], (11854 ^ _164577) ^ [_574636] : [class_Groups_Ozero(_574636), -(class_Groups_Ozero(tc_Polynomial_Opoly(_574636)))], (11860 ^ _164577) ^ [_574826] : [class_Rings_Ocomm__ring(_574826), -(class_Rings_Oring(tc_Polynomial_Opoly(_574826)))], (11866 ^ _164577) ^ [_575016] : [class_Rings_Oidom(_575016), -(class_Rings_Oidom(tc_Polynomial_Opoly(_575016)))], (11872 ^ _164577) ^ [_575206] : [class_Rings_Ocomm__semiring__1(_575206), -(class_Groups_Oone(tc_Polynomial_Opoly(_575206)))], (11878 ^ _164577) ^ [_575376] : [class_Rings_Ocomm__semiring__1(_575376), -(class_Rings_Odvd(tc_Polynomial_Opoly(_575376)))]], input).
% 0.56/1.39 ncf('1',plain,[c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex, c_Groups_Oone__class_Oone(tc_Complex_Ocomplex), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex), hAPP(hAPP(c_Power_Opower__class_Opower(tc_Complex_Ocomplex), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex), c_RealVector_Oof__real(tc_Complex_Ocomplex, v_t____)), v_w____)), v_k____)), c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex, v_a____, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex), c_RealVector_Oof__real(tc_Complex_Ocomplex, v_t____)), v_w____)), hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex, v_s____), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex), c_RealVector_Oof__real(tc_Complex_Ocomplex, v_t____)), v_w____))))))), c_Groups_Oone__class_Oone(tc_RealDef_Oreal))],start(11884 ^ 0)).
% 0.56/1.39 ncf('1.1',plain,[-(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex, c_Groups_Oone__class_Oone(tc_Complex_Ocomplex), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex), hAPP(hAPP(c_Power_Opower__class_Opower(tc_Complex_Ocomplex), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex), c_RealVector_Oof__real(tc_Complex_Ocomplex, v_t____)), v_w____)), v_k____)), c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex, v_a____, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex), c_RealVector_Oof__real(tc_Complex_Ocomplex, v_t____)), v_w____)), hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex, v_s____), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex), c_RealVector_Oof__real(tc_Complex_Ocomplex, v_t____)), v_w____))))))), c_Groups_Oone__class_Oone(tc_RealDef_Oreal))), class_Orderings_Opreorder(tc_RealDef_Oreal), c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex, c_Groups_Oone__class_Oone(tc_Complex_Ocomplex), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex), hAPP(hAPP(c_Power_Opower__class_Opower(tc_Complex_Ocomplex), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex), c_RealVector_Oof__real(tc_Complex_Ocomplex, v_t____)), v_w____)), v_k____)), c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex, v_a____, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex), c_RealVector_Oof__real(tc_Complex_Ocomplex, v_t____)), v_w____)), hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex, v_s____), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex), c_RealVector_Oof__real(tc_Complex_Ocomplex, v_t____)), v_w____))))))), c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal, c_Groups_Oone__class_Oone(tc_RealDef_Oreal), hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal), v_t____), v_k____))), c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex), hAPP(hAPP(c_Power_Opower__class_Opower(tc_Complex_Ocomplex), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex), c_RealVector_Oof__real(tc_Complex_Ocomplex, v_t____)), v_w____)), v_k____)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex), c_RealVector_Oof__real(tc_Complex_Ocomplex, v_t____)), v_w____))), hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex, v_s____), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex), c_RealVector_Oof__real(tc_Complex_Ocomplex, v_t____)), v_w____)))))), c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal, c_Groups_Oone__class_Oone(tc_RealDef_Oreal), hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal), v_t____), v_k____))), c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex), hAPP(hAPP(c_Power_Opower__class_Opower(tc_Complex_Ocomplex), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex), c_RealVector_Oof__real(tc_Complex_Ocomplex, v_t____)), v_w____)), v_k____)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex), c_RealVector_Oof__real(tc_Complex_Ocomplex, v_t____)), v_w____))), hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex, v_s____), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex), c_RealVector_Oof__real(tc_Complex_Ocomplex, v_t____)), v_w____))))), c_Groups_Oone__class_Oone(tc_RealDef_Oreal))],extension(9514 ^ 1,bind([[_497958, _497960, _497962, _497964], [tc_RealDef_Oreal, c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex, c_Groups_Oone__class_Oone(tc_Complex_Ocomplex), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex), hAPP(hAPP(c_Power_Opower__class_Opower(tc_Complex_Ocomplex), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex), c_RealVector_Oof__real(tc_Complex_Ocomplex, v_t____)), v_w____)), v_k____)), c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex, v_a____, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex), c_RealVector_Oof__real(tc_Complex_Ocomplex, v_t____)), v_w____)), hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex, v_s____), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex), c_RealVector_Oof__real(tc_Complex_Ocomplex, v_t____)), v_w____))))))), c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal, c_Groups_Oone__class_Oone(tc_RealDef_Oreal), hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal), v_t____), v_k____))), c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex), hAPP(hAPP(c_Power_Opower__class_Opower(tc_Complex_Ocomplex), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex), c_RealVector_Oof__real(tc_Complex_Ocomplex, v_t____)), v_w____)), v_k____)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex), c_RealVector_Oof__real(tc_Complex_Ocomplex, v_t____)), v_w____))), hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex, v_s____), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex), c_RealVector_Oof__real(tc_Complex_Ocomplex, v_t____)), v_w____))))), c_Groups_Oone__class_Oone(tc_RealDef_Oreal)]]))).
% 0.56/1.39 ncf('1.1.1',plain,[-(class_Orderings_Opreorder(tc_RealDef_Oreal))],extension(11388 ^ 2)).
% 0.56/1.39 ncf('1.1.2',plain,[-(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex, c_Groups_Oone__class_Oone(tc_Complex_Ocomplex), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex), hAPP(hAPP(c_Power_Opower__class_Opower(tc_Complex_Ocomplex), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex), c_RealVector_Oof__real(tc_Complex_Ocomplex, v_t____)), v_w____)), v_k____)), c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex, v_a____, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex), c_RealVector_Oof__real(tc_Complex_Ocomplex, v_t____)), v_w____)), hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex, v_s____), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex), c_RealVector_Oof__real(tc_Complex_Ocomplex, v_t____)), v_w____))))))), c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal, c_Groups_Oone__class_Oone(tc_RealDef_Oreal), hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal), v_t____), v_k____))), c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex), hAPP(hAPP(c_Power_Opower__class_Opower(tc_Complex_Ocomplex), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex), c_RealVector_Oof__real(tc_Complex_Ocomplex, v_t____)), v_w____)), v_k____)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex), c_RealVector_Oof__real(tc_Complex_Ocomplex, v_t____)), v_w____))), hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex, v_s____), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex), c_RealVector_Oof__real(tc_Complex_Ocomplex, v_t____)), v_w____)))))))],extension(1309 ^ 2)).
% 0.56/1.39 ncf('1.1.3',plain,[-(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal, c_Groups_Oone__class_Oone(tc_RealDef_Oreal), hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal), v_t____), v_k____))), c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex), hAPP(hAPP(c_Power_Opower__class_Opower(tc_Complex_Ocomplex), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex), c_RealVector_Oof__real(tc_Complex_Ocomplex, v_t____)), v_w____)), v_k____)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex), c_RealVector_Oof__real(tc_Complex_Ocomplex, v_t____)), v_w____))), hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex, v_s____), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex), c_RealVector_Oof__real(tc_Complex_Ocomplex, v_t____)), v_w____))))), c_Groups_Oone__class_Oone(tc_RealDef_Oreal)))],extension(1305 ^ 2)).
% 0.56/1.39 %-----------------------------------------------------
% 0.56/1.39 End of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
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