%------------------------------------------------------------------------------ % File : Princess---230619 % Problem : SWW229+1 : TPTP v8.1.2. Released v5.2.0. % Transfm : none % Format : tptp % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s % Computer : n009.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 Sep 1 00:49:31 EDT 2023 % Result : Theorem 74.22s 10.77s % Output : Proof 259.32s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.03/0.12 % Problem : SWW229+1 : TPTP v8.1.2. Released v5.2.0. % 0.03/0.13 % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s % 0.12/0.34 % Computer : n009.cluster.edu % 0.12/0.34 % Model : x86_64 x86_64 % 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.12/0.34 % Memory : 8042.1875MB % 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.12/0.34 % CPULimit : 300 % 0.12/0.34 % WCLimit : 300 % 0.12/0.34 % DateTime : Sun Aug 27 21:24:05 EDT 2023 % 0.12/0.34 % CPUTime : % 0.50/0.61 ________ _____ % 0.50/0.61 ___ __ \_________(_)________________________________ % 0.50/0.61 __ /_/ /_ ___/_ /__ __ \ ___/ _ \_ ___/_ ___/ % 0.50/0.61 _ ____/_ / _ / _ / / / /__ / __/(__ )_(__ ) % 0.50/0.61 /_/ /_/ /_/ /_/ /_/\___/ \___//____/ /____/ % 0.50/0.61 % 0.50/0.61 A Theorem Prover for First-Order Logic modulo Linear Integer Arithmetic % 0.50/0.61 (2023-06-19) % 0.50/0.61 % 0.50/0.61 (c) Philipp Rümmer, 2009-2023 % 0.50/0.61 Contributors: Peter Backeman, Peter Baumgartner, Angelo Brillout, Zafer Esen, % 0.50/0.61 Amanda Stjerna. % 0.50/0.61 Free software under BSD-3-Clause. % 0.50/0.61 % 0.50/0.61 For more information, visit http://www.philipp.ruemmer.org/princess.shtml % 0.50/0.61 % 0.50/0.61 Loading /export/starexec/sandbox2/benchmark/theBenchmark.p ... % 0.50/0.62 Running up to 7 provers in parallel. % 0.50/0.63 Prover 0: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1042961893 % 0.50/0.63 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1571432423 % 0.50/0.63 Prover 3: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1922548996 % 0.50/0.63 Prover 2: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1065072994 % 0.50/0.63 Prover 4: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=1868514696 % 0.50/0.63 Prover 6: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365 % 0.50/0.63 Prover 5: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=1259561288 % 19.19/3.46 Prover 5: Preprocessing ... % 19.19/3.47 Prover 2: Preprocessing ... % 19.19/3.47 Prover 3: Preprocessing ... % 19.34/3.50 Prover 0: Preprocessing ... % 19.34/3.51 Prover 1: Preprocessing ... % 19.90/3.55 Prover 6: Preprocessing ... % 22.27/3.91 Prover 4: Preprocessing ... % 57.27/8.57 Prover 1: Warning: ignoring some quantifiers % 59.79/8.92 Prover 3: Warning: ignoring some quantifiers % 61.20/9.06 Prover 1: Constructing countermodel ... % 61.20/9.07 Prover 3: Constructing countermodel ... % 62.76/9.27 Prover 6: Proving ... % 63.89/9.42 Prover 4: Warning: ignoring some quantifiers % 67.55/9.92 Prover 4: Constructing countermodel ... % 74.22/10.77 Prover 3: proved (10139ms) % 74.22/10.77 % 74.22/10.77 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p % 74.22/10.77 % 74.22/10.78 Prover 6: stopped % 74.22/10.80 Prover 7: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470 % 74.22/10.80 Prover 8: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089 % 82.17/11.86 Prover 2: Proving ... % 82.17/11.86 Prover 2: stopped % 82.17/11.88 Prover 10: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=919308125 % 82.17/11.88 Prover 0: Proving ... % 82.17/11.88 Prover 0: stopped % 82.17/11.88 Prover 11: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1509710984 % 83.14/12.00 Prover 8: Preprocessing ... % 84.71/12.23 Prover 5: Proving ... % 84.71/12.23 Prover 5: stopped % 84.71/12.23 Prover 13: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=1138197443 % 85.85/12.33 Prover 7: Preprocessing ... % 92.92/13.25 Prover 10: Preprocessing ... % 93.61/13.34 Prover 11: Preprocessing ... % 93.69/13.41 Prover 13: Preprocessing ... % 99.70/14.17 Prover 8: Warning: ignoring some quantifiers % 101.79/14.44 Prover 8: Constructing countermodel ... % 102.68/14.62 Prover 7: Warning: ignoring some quantifiers % 104.14/14.79 Prover 10: Warning: ignoring some quantifiers % 104.65/14.81 Prover 7: Constructing countermodel ... % 105.62/14.95 Prover 10: Constructing countermodel ... % 110.42/15.60 Prover 13: Warning: ignoring some quantifiers % 112.78/15.93 Prover 13: Constructing countermodel ... % 113.24/15.99 Prover 1: stopped % 113.24/16.01 Prover 16: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=completeFrugal -randomSeed=-2043353683 % 116.00/16.38 Prover 13: stopped % 116.00/16.39 Prover 19: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=-1780594085 % 116.30/16.43 Prover 11: Warning: ignoring some quantifiers % 117.51/16.63 Prover 11: Constructing countermodel ... % 120.78/17.02 Prover 16: Preprocessing ... % 122.94/17.29 Prover 19: Preprocessing ... % 132.85/18.57 Prover 16: Warning: ignoring some quantifiers % 133.45/18.72 Prover 16: Constructing countermodel ... % 136.26/19.01 Prover 19: Warning: ignoring some quantifiers % 137.78/19.21 Prover 19: Constructing countermodel ... % 146.24/20.34 Prover 19: stopped % 150.05/20.87 Prover 16: stopped % 200.77/27.96 Prover 4: stopped % 215.16/30.71 Prover 7: stopped % 256.00/40.02 Prover 8: Found proof (size 881) % 256.00/40.02 Prover 8: proved (29173ms) % 256.00/40.02 Prover 11: stopped % 256.11/40.04 Prover 10: stopped % 256.11/40.04 % 256.11/40.04 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p % 256.11/40.04 % 256.93/40.49 % SZS output start Proof for theBenchmark % 256.93/40.52 Assumptions after simplification: % 256.93/40.52 --------------------------------- % 256.93/40.52 % 256.93/40.52 (arity_Complex__Ocomplex__RealVector_Oreal__normed__vector) % 256.93/40.55 class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex) = 0 & % 256.93/40.55 $i(tc_Complex_Ocomplex) % 256.93/40.55 % 256.93/40.55 (conj_0) % 256.93/40.55 $i(v_p) & $i(v_z____) & $i(v_N2____) & $i(v_N1____) & $i(tc_Nat_Onat) & % 256.93/40.55 $i(tc_Complex_Ocomplex) & $i(tc_RealDef_Oreal) & $i(v_f____) & ? [v0: $i] : % 256.93/40.55 ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] : ? [v5: $i] : ? [v6: % 256.93/40.55 $i] : ? [v7: $i] : ? [v8: $i] : ? [v9: $i] : ? [v10: $i] : ? [v11: $i] % 256.93/40.55 : ? [v12: int] : ( ~ (v12 = 0) & c_Polynomial_Opoly(tc_Complex_Ocomplex, v_p) % 256.93/40.55 = v0 & c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, v8) = v9 & % 256.93/40.55 c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex, v4, v6) = v10 & % 256.93/40.55 c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal, v5, v7) = v8 & % 256.93/40.55 c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v_N1____, v_N2____) = v1 & % 256.93/40.55 v_g____(v2) = v3 & c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v10) % 256.93/40.55 = v11 & c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v6) = v7 & % 256.93/40.55 c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v4) = v5 & % 256.93/40.55 c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v9, v11) = v12 & % 256.93/40.55 hAPP(v0, v3) = v4 & hAPP(v0, v_z____) = v6 & hAPP(v_f____, v1) = v2 & % 256.93/40.55 $i(v11) & $i(v10) & $i(v9) & $i(v8) & $i(v7) & $i(v6) & $i(v5) & $i(v4) & % 256.93/40.55 $i(v3) & $i(v2) & $i(v1) & $i(v0)) % 256.93/40.55 % 256.93/40.55 (fact_N2) % 256.93/40.56 $i(c_Int_OPls) & $i(v_p) & $i(v_s____) & $i(v_z____) & $i(v_N2____) & % 256.93/40.56 $i(tc_Nat_Onat) & $i(tc_Complex_Ocomplex) & $i(tc_RealDef_Oreal) & ? [v0: $i] % 256.93/40.56 : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] : ? [v5: $i] : ? % 256.93/40.56 [v6: $i] : ? [v7: $i] : ? [v8: $i] : ? [v9: $i] : ? [v10: $i] : % 256.93/40.56 (c_Int_OBit1(c_Int_OPls) = v0 & c_Int_OBit0(v0) = v1 & % 256.93/40.56 c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, v1) = v2 & % 256.93/40.56 c_RealDef_Oreal(tc_Nat_Onat, v_N2____) = v10 & % 256.93/40.56 c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, v2, v8) = v9 & % 256.93/40.56 c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v_s____) = v6 & % 256.93/40.56 c_Polynomial_Opoly(tc_Complex_Ocomplex, v_p) = v3 & % 256.93/40.56 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v9, v10) = 0 & % 256.93/40.56 c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, v7) = v8 & % 256.93/40.56 c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal, v5, v6) = v7 & % 256.93/40.56 c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v4) = v5 & hAPP(v3, % 256.93/40.56 v_z____) = v4 & $i(v10) & $i(v9) & $i(v8) & $i(v7) & $i(v6) & $i(v5) & % 256.93/40.56 $i(v4) & $i(v3) & $i(v2) & $i(v1) & $i(v0)) % 256.93/40.56 % 256.93/40.56 (fact__0961_A_P_Areal_A_ISuc_A_IN1_A_L_AN2_J_J_A_060_Aabs_A_Icmod_A_Ipoly_Ap_Az_J_A_N_A_N_As_J_A_P_A2_096) % 257.24/40.57 $i(c_Int_OPls) & $i(v_p) & $i(v_s____) & $i(v_z____) & $i(v_N2____) & % 257.24/40.57 $i(v_N1____) & $i(tc_Nat_Onat) & $i(tc_Complex_Ocomplex) & % 257.24/40.57 $i(tc_RealDef_Oreal) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : % 257.24/40.57 ? [v4: $i] : ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : ? [v8: $i] : ? [v9: % 257.24/40.57 $i] : ? [v10: $i] : ? [v11: $i] : ? [v12: $i] : ? [v13: $i] : ? [v14: % 257.24/40.57 $i] : (c_Int_OBit1(c_Int_OPls) = v11 & c_Int_OBit0(v11) = v12 & % 257.24/40.57 c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, v12) = v13 & % 257.24/40.57 c_Nat_OSuc(v1) = v2 & c_RealDef_Oreal(tc_Nat_Onat, v2) = v3 & % 257.24/40.57 c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, v10, v13) = v14 & % 257.24/40.57 c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, v0, v3) = v4 & % 257.24/40.57 c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = v0 & % 257.24/40.57 c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v_s____) = v8 & % 257.24/40.57 c_Polynomial_Opoly(tc_Complex_Ocomplex, v_p) = v5 & % 257.24/40.57 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v4, v14) = 0 & % 257.24/40.57 c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, v9) = v10 & % 257.24/40.57 c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal, v7, v8) = v9 & % 257.24/40.57 c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v_N1____, v_N2____) = v1 & % 257.24/40.57 c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v6) = v7 & hAPP(v5, % 257.24/40.57 v_z____) = v6 & $i(v14) & $i(v13) & $i(v12) & $i(v11) & $i(v10) & $i(v9) & % 257.24/40.57 $i(v8) & $i(v7) & $i(v6) & $i(v5) & $i(v4) & $i(v3) & $i(v2) & $i(v1) & % 257.24/40.57 $i(v0)) % 257.24/40.57 % 257.24/40.57 (fact__0961_A_P_Areal_A_ISuc_A_If_A_IN1_A_L_AN2_J_J_J_A_060_061_A1_A_P_Areal_A_ISuc_A_IN1_A_L_AN2_J_J_096) % 257.24/40.58 $i(v_N2____) & $i(v_N1____) & $i(tc_Nat_Onat) & $i(tc_RealDef_Oreal) & % 257.24/40.58 $i(v_f____) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: % 257.24/40.58 $i] : ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : ? [v8: $i] : % 257.24/40.58 (c_Nat_OSuc(v2) = v3 & c_Nat_OSuc(v1) = v6 & c_RealDef_Oreal(tc_Nat_Onat, v6) % 257.24/40.58 = v7 & c_RealDef_Oreal(tc_Nat_Onat, v3) = v4 & % 257.24/40.58 c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, v0, v7) = v8 & % 257.24/40.58 c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, v0, v4) = v5 & % 257.24/40.58 c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = v0 & % 257.24/40.58 c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v_N1____, v_N2____) = v1 & % 257.24/40.58 c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v5, v8) = 0 & % 257.24/40.58 hAPP(v_f____, v1) = v2 & $i(v8) & $i(v7) & $i(v6) & $i(v5) & $i(v4) & $i(v3) % 257.24/40.58 & $i(v2) & $i(v1) & $i(v0)) % 257.24/40.58 % 257.24/40.58 (fact__0962_A_P_Aabs_A_Icmod_A_Ipoly_Ap_Az_J_A_N_A_N_As_J_A_060_Areal_A_ISuc_A_IN1_A_L_AN2_J_J_096) % 257.24/40.59 $i(c_Int_OPls) & $i(v_p) & $i(v_s____) & $i(v_z____) & $i(v_N2____) & % 257.24/40.59 $i(v_N1____) & $i(tc_Nat_Onat) & $i(tc_Complex_Ocomplex) & % 257.24/40.59 $i(tc_RealDef_Oreal) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : % 257.24/40.59 ? [v4: $i] : ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : ? [v8: $i] : ? [v9: % 257.24/40.59 $i] : ? [v10: $i] : ? [v11: $i] : ? [v12: $i] : (c_Int_OBit1(c_Int_OPls) % 257.24/40.59 = v0 & c_Int_OBit0(v0) = v1 & % 257.24/40.59 c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, v1) = v2 & % 257.24/40.59 c_Nat_OSuc(v10) = v11 & c_RealDef_Oreal(tc_Nat_Onat, v11) = v12 & % 257.24/40.59 c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, v2, v8) = v9 & % 257.24/40.59 c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v_s____) = v6 & % 257.24/40.59 c_Polynomial_Opoly(tc_Complex_Ocomplex, v_p) = v3 & % 257.24/40.59 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v9, v12) = 0 & % 257.24/40.59 c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, v7) = v8 & % 257.24/40.59 c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal, v5, v6) = v7 & % 257.24/40.59 c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v_N1____, v_N2____) = v10 & % 257.24/40.59 c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v4) = v5 & hAPP(v3, % 257.24/40.59 v_z____) = v4 & $i(v12) & $i(v11) & $i(v10) & $i(v9) & $i(v8) & $i(v7) & % 257.24/40.59 $i(v6) & $i(v5) & $i(v4) & $i(v3) & $i(v2) & $i(v1) & $i(v0)) % 257.24/40.59 % 257.37/40.59 (fact__096EX_Ad_0620_O_AALL_Aw_O_A0_A_060_Acmod_A_Iw_A_N_Az_J_A_G_Acmod_A_Iw_A_N_Az_J_A_060_Ad_A_N_N_062_Acmod_A_Ipoly_Ap_Aw_A_N_Apoly_Ap_Az_J_A_060_Aabs_A_Icmod_A_Ipoly_Ap_Az_J_A_N_A_N_As_J_A_P_A2_096) % 257.37/40.60 $i(c_Int_OPls) & $i(v_p) & $i(v_s____) & $i(v_z____) & $i(tc_Complex_Ocomplex) % 257.37/40.60 & $i(tc_RealDef_Oreal) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] % 257.37/40.60 : ? [v4: $i] : ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : ? [v8: $i] : ? % 257.37/40.60 [v9: $i] : ? [v10: $i] : (c_Int_OBit1(c_Int_OPls) = v7 & c_Int_OBit0(v7) = v8 % 257.37/40.60 & c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, v8) = v9 & % 257.37/40.60 c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, v6, v9) = v10 & % 257.37/40.60 c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v_s____) = v4 & % 257.37/40.60 c_Polynomial_Opoly(tc_Complex_Ocomplex, v_p) = v1 & % 257.37/40.60 c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & % 257.37/40.60 c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, v5) = v6 & % 257.37/40.60 c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal, v3, v4) = v5 & % 257.37/40.60 c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v2) = v3 & hAPP(v1, % 257.37/40.60 v_z____) = v2 & $i(v10) & $i(v9) & $i(v8) & $i(v7) & $i(v6) & $i(v5) & % 257.37/40.60 $i(v4) & $i(v3) & $i(v2) & $i(v1) & $i(v0) & ? [v11: $i] : % 257.37/40.60 (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v11) = 0 & $i(v11) & ! % 257.37/40.60 [v12: $i] : ! [v13: $i] : ! [v14: $i] : ( ~ % 257.37/40.60 (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v14, v11) = 0) | ~ % 257.37/40.60 (c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex, v12, v_z____) = v13) % 257.37/40.60 | ~ (c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v13) = v14) | % 257.37/40.60 ~ $i(v12) | ? [v15: any] : ? [v16: $i] : ? [v17: $i] : ? [v18: $i] % 257.37/40.60 : ? [v19: any] : (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v18, % 257.37/40.60 v10) = v19 & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, % 257.37/40.60 v14) = v15 & c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex, v16, % 257.37/40.60 v2) = v17 & c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, % 257.37/40.60 v17) = v18 & hAPP(v1, v12) = v16 & $i(v18) & $i(v17) & $i(v16) & ( ~ % 257.37/40.60 (v15 = 0) | v19 = 0))))) % 257.37/40.60 % 257.37/40.60 (fact__096EX_Af_O_AALL_Ax_O_Acmod_A_If_Ax_J_A_060_061_Ar_A_G_Acmod_A_Ipoly_Ap_A_If_Ax_J_J_A_060_A_N_As_A_L_A1_A_P_Areal_A_ISuc_Ax_J_096) % 257.37/40.61 $i(v_p) & $i(v_s____) & $i(tc_Nat_Onat) & $i(v_r) & $i(tc_Complex_Ocomplex) & % 257.37/40.61 $i(tc_RealDef_Oreal) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : % 257.37/40.61 (c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = v2 & % 257.37/40.61 c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v_s____) = v1 & % 257.37/40.61 c_Polynomial_Opoly(tc_Complex_Ocomplex, v_p) = v0 & $i(v2) & $i(v1) & $i(v0) % 257.37/40.61 & ? [v3: $i] : ($i(v3) & ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : ! [v7: % 257.37/40.61 $i] : ! [v8: $i] : ! [v9: $i] : ! [v10: $i] : ! [v11: $i] : ! [v12: % 257.37/40.61 int] : (v12 = 0 | ~ (c_Nat_OSuc(v4) = v8) | ~ % 257.37/40.61 (c_RealDef_Oreal(tc_Nat_Onat, v8) = v9) | ~ % 257.37/40.61 (c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, v2, v9) = v10) | ~ % 257.37/40.61 (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v7, v11) = v12) | ~ % 257.37/40.61 (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v1, v10) = v11) | ~ % 257.37/40.61 (c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v6) = v7) | ~ % 257.37/40.61 (hAPP(v3, v4) = v5) | ~ (hAPP(v0, v5) = v6) | ~ $i(v4)) & ! [v4: $i] % 257.37/40.61 : ! [v5: $i] : ( ~ (hAPP(v3, v4) = v5) | ~ $i(v4) | ? [v6: $i] : % 257.37/40.61 (c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v5) = v6 & % 257.37/40.61 c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v6, v_r) = 0 & % 257.37/40.61 $i(v6))))) % 257.37/40.61 % 257.37/40.61 (fact__096EX_An_O_A2_A_P_Aabs_A_Icmod_A_Ipoly_Ap_Az_J_A_N_A_N_As_J_A_060_Areal_An_096) % 257.37/40.62 $i(c_Int_OPls) & $i(v_p) & $i(v_s____) & $i(v_z____) & $i(tc_Nat_Onat) & % 257.37/40.62 $i(tc_Complex_Ocomplex) & $i(tc_RealDef_Oreal) & ? [v0: $i] : ? [v1: $i] : % 257.37/40.62 ? [v2: $i] : ? [v3: $i] : ? [v4: $i] : ? [v5: $i] : ? [v6: $i] : ? [v7: % 257.37/40.62 $i] : ? [v8: $i] : ? [v9: $i] : (c_Int_OBit1(c_Int_OPls) = v0 & % 257.37/40.62 c_Int_OBit0(v0) = v1 & c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, % 257.37/40.62 v1) = v2 & c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, v2, v8) = v9 % 257.37/40.62 & c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v_s____) = v6 & % 257.37/40.62 c_Polynomial_Opoly(tc_Complex_Ocomplex, v_p) = v3 & % 257.37/40.62 c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, v7) = v8 & % 257.37/40.62 c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal, v5, v6) = v7 & % 257.37/40.62 c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v4) = v5 & hAPP(v3, % 257.37/40.62 v_z____) = v4 & $i(v9) & $i(v8) & $i(v7) & $i(v6) & $i(v5) & $i(v4) & % 257.37/40.62 $i(v3) & $i(v2) & $i(v1) & $i(v0) & ? [v10: $i] : ? [v11: $i] : % 257.37/40.62 (c_RealDef_Oreal(tc_Nat_Onat, v10) = v11 & % 257.37/40.62 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v9, v11) = 0 & $i(v11) & % 257.37/40.62 $i(v10))) % 257.37/40.62 % 257.37/40.62 (fact__096EX_As_O_AALL_Ay_O_A_IEX_Ax_O_A_IEX_Az_O_Acmod_Az_A_060_061_Ar_A_G_Acmod_A_Ipoly_Ap_Az_J_A_061_A_N_Ax_J_A_G_Ay_A_060_Ax_J_A_061_A_Iy_A_060_As_J_096) % 257.54/40.63 $i(v_p) & $i(v_r) & $i(tc_Complex_Ocomplex) & $i(tc_RealDef_Oreal) & ? [v0: % 257.54/40.63 $i] : (c_Polynomial_Opoly(tc_Complex_Ocomplex, v_p) = v0 & $i(v0) & ? [v1: % 257.54/40.63 $i] : ($i(v1) & ! [v2: $i] : ! [v3: int] : (v3 = 0 | ~ % 257.54/40.63 (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v2, v1) = v3) | ~ % 257.54/40.63 $i(v2) | ! [v4: $i] : ! [v5: $i] : ( ~ % 257.54/40.63 (c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v4) = v5) | ~ % 257.54/40.63 $i(v4) | ? [v6: int] : ( ~ (v6 = 0) & % 257.54/40.63 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v2, v4) = v6) | ! % 257.54/40.63 [v6: $i] : ! [v7: $i] : ( ~ (hAPP(v0, v6) = v7) | ~ $i(v6) | ? [v8: % 257.54/40.63 $i] : ? [v9: any] : ? [v10: $i] : % 257.54/40.63 (c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v7) = v10 & % 257.54/40.63 c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v6) = v8 & % 257.54/40.63 c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v8, v_r) = v9 % 257.54/40.63 & $i(v10) & $i(v8) & ( ~ (v10 = v5) | ~ (v9 = 0)))))) & ! [v2: % 257.54/40.63 $i] : ( ~ (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v2, v1) = 0) % 257.54/40.63 | ~ $i(v2) | ? [v3: $i] : ? [v4: $i] : % 257.54/40.63 (c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v3) = v4 & % 257.54/40.63 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v2, v3) = 0 & $i(v4) & % 257.54/40.63 $i(v3) & ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : % 257.54/40.63 (c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v7) = v4 & % 257.54/40.63 c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v5) = v6 & % 257.54/40.63 c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v6, v_r) = 0 & % 257.54/40.63 hAPP(v0, v5) = v7 & $i(v7) & $i(v6) & $i(v5)))))) % 257.54/40.63 % 257.54/40.63 (fact__096N1_A_L_AN2_A_060_061_Af_A_IN1_A_L_AN2_J_096) % 257.58/40.63 $i(v_N2____) & $i(v_N1____) & $i(tc_Nat_Onat) & $i(v_f____) & ? [v0: $i] : ? % 257.58/40.63 [v1: $i] : (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v_N1____, v_N2____) = v0 % 257.58/40.63 & c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v0, v1) = 0 & hAPP(v_f____, % 257.58/40.63 v0) = v1 & $i(v1) & $i(v0)) % 257.58/40.63 % 257.58/40.63 (fact__096_091_124_A2_A_P_Aabs_A_Icmod_A_Ipoly_Ap_Az_J_A_N_A_N_As_J_A_060_Areal_A_ISuc_A_IN1_A_L_AN2_J_J_059_A0_A_060_A2_A_P_Aabs_A_Icmod_A_Ipoly_Ap_Az_J_A_N_A_N_As_J_A_124_093_061_061_062_Ainverse_A_Ireal_A_ISuc_A_IN1_A_L_AN2_J_J_J_A_060_Ainverse_A_I2_A_P_Aabs_A_Icmod_A_Ipoly_Ap_Az_J_A_N_A_N_As_J_J_096) % 257.58/40.64 $i(c_Int_OPls) & $i(v_p) & $i(v_s____) & $i(v_z____) & $i(v_N2____) & % 257.58/40.64 $i(v_N1____) & $i(tc_Nat_Onat) & $i(tc_Complex_Ocomplex) & % 257.58/40.64 $i(tc_RealDef_Oreal) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : % 257.58/40.64 ? [v4: $i] : ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : ? [v8: $i] : ? [v9: % 257.58/40.64 $i] : ? [v10: $i] : ? [v11: $i] : ? [v12: $i] : ? [v13: any] : ? [v14: % 257.58/40.64 $i] : ? [v15: any] : ? [v16: $i] : ? [v17: $i] : ? [v18: any] : % 257.58/40.64 (c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal, v12) = v16 & % 257.58/40.64 c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal, v9) = v17 & % 257.58/40.64 c_Int_OBit1(c_Int_OPls) = v0 & c_Int_OBit0(v0) = v1 & % 257.58/40.64 c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, v1) = v2 & % 257.58/40.64 c_Nat_OSuc(v10) = v11 & c_RealDef_Oreal(tc_Nat_Onat, v11) = v12 & % 257.58/40.64 c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, v2, v8) = v9 & % 257.58/40.64 c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v_s____) = v6 & % 257.58/40.64 c_Polynomial_Opoly(tc_Complex_Ocomplex, v_p) = v3 & % 257.58/40.64 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v16, v17) = v18 & % 257.58/40.64 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v14, v9) = v15 & % 257.58/40.64 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v9, v12) = v13 & % 257.58/40.64 c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v14 & % 257.58/40.64 c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, v7) = v8 & % 257.58/40.64 c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal, v5, v6) = v7 & % 257.58/40.64 c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v_N1____, v_N2____) = v10 & % 257.58/40.64 c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v4) = v5 & hAPP(v3, % 257.58/40.64 v_z____) = v4 & $i(v17) & $i(v16) & $i(v14) & $i(v12) & $i(v11) & $i(v10) % 257.58/40.64 & $i(v9) & $i(v8) & $i(v7) & $i(v6) & $i(v5) & $i(v4) & $i(v3) & $i(v2) & % 257.58/40.64 $i(v1) & $i(v0) & ( ~ (v15 = 0) | ~ (v13 = 0) | v18 = 0)) % 257.58/40.64 % 257.58/40.64 (fact__096_B_Bn_O_AEX_Az_O_Acmod_Az_A_060_061_Ar_A_G_Acmod_A_Ipoly_Ap_Az_J_A_060_A_N_As_A_L_A1_A_P_Areal_A_ISuc_An_J_096) % 257.58/40.64 $i(v_p) & $i(v_s____) & $i(tc_Nat_Onat) & $i(v_r) & $i(tc_Complex_Ocomplex) & % 257.58/40.64 $i(tc_RealDef_Oreal) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : % 257.58/40.64 (c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = v2 & % 257.58/40.64 c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v_s____) = v1 & % 257.58/40.64 c_Polynomial_Opoly(tc_Complex_Ocomplex, v_p) = v0 & $i(v2) & $i(v1) & $i(v0) % 257.58/40.64 & ! [v3: $i] : ! [v4: $i] : ( ~ (c_Nat_OSuc(v3) = v4) | ~ $i(v3) | ? % 257.58/40.64 [v5: $i] : ? [v6: $i] : ? [v7: $i] : (c_RealDef_Oreal(tc_Nat_Onat, v4) = % 257.58/40.64 v5 & c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, v2, v5) = v6 & % 257.58/40.64 c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v1, v6) = v7 & $i(v7) & % 257.58/40.64 $i(v6) & $i(v5) & ? [v8: $i] : ? [v9: $i] : ? [v10: $i] : ? [v11: % 257.58/40.65 $i] : (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v11, v7) = 0 & % 257.58/40.65 c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v10) = v11 & % 257.58/40.65 c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v8) = v9 & % 257.58/40.65 c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v9, v_r) = 0 & % 257.58/40.65 hAPP(v0, v8) = v10 & $i(v11) & $i(v10) & $i(v9) & $i(v8))))) % 257.58/40.65 % 257.58/40.65 (fact__096_B_Bn_O_A_N_As_A_060_061_Acmod_A_Ipoly_Ap_A_Ig_An_J_J_096) % 257.58/40.65 $i(v_p) & $i(v_s____) & $i(tc_Complex_Ocomplex) & $i(tc_RealDef_Oreal) & ? % 257.58/40.65 [v0: $i] : ? [v1: $i] : (c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, % 257.58/40.65 v_s____) = v0 & c_Polynomial_Opoly(tc_Complex_Ocomplex, v_p) = v1 & $i(v1) % 257.58/40.65 & $i(v0) & ! [v2: $i] : ! [v3: $i] : ( ~ (v_g____(v2) = v3) | ~ $i(v2) | % 257.58/40.65 ? [v4: $i] : ? [v5: $i] : % 257.58/40.65 (c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v4) = v5 & % 257.58/40.65 c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0, v5) = 0 & % 257.58/40.65 hAPP(v1, v3) = v4 & $i(v5) & $i(v4)))) % 257.58/40.65 % 257.58/40.65 (fact__096_B_Bthesis_O_A_I_B_BN2_O_A2_A_P_Aabs_A_Icmod_A_Ipoly_Ap_Az_J_A_N_A_N_As_J_A_060_Areal_AN2_A_061_061_062_Athesis_J_A_061_061_062_Athesis_096) % 257.58/40.65 $i(c_Int_OPls) & $i(v_p) & $i(v_s____) & $i(v_z____) & $i(tc_Nat_Onat) & % 257.58/40.65 $i(tc_Complex_Ocomplex) & $i(tc_RealDef_Oreal) & ? [v0: $i] : ? [v1: $i] : % 257.58/40.65 ? [v2: $i] : ? [v3: $i] : ? [v4: $i] : ? [v5: $i] : ? [v6: $i] : ? [v7: % 257.58/40.65 $i] : ? [v8: $i] : ? [v9: $i] : (c_Int_OBit1(c_Int_OPls) = v0 & % 257.58/40.65 c_Int_OBit0(v0) = v1 & c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, % 257.58/40.65 v1) = v2 & c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, v2, v8) = v9 % 257.58/40.65 & c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v_s____) = v6 & % 257.58/40.65 c_Polynomial_Opoly(tc_Complex_Ocomplex, v_p) = v3 & % 257.58/40.65 c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, v7) = v8 & % 257.58/40.65 c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal, v5, v6) = v7 & % 257.58/40.65 c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v4) = v5 & hAPP(v3, % 257.58/40.65 v_z____) = v4 & $i(v9) & $i(v8) & $i(v7) & $i(v6) & $i(v5) & $i(v4) & % 257.58/40.65 $i(v3) & $i(v2) & $i(v1) & $i(v0) & ? [v10: $i] : ? [v11: $i] : % 257.58/40.65 (c_RealDef_Oreal(tc_Nat_Onat, v10) = v11 & % 257.58/40.65 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v9, v11) = 0 & $i(v11) & % 257.58/40.65 $i(v10))) % 257.58/40.65 % 257.58/40.65 (fact__096_B_Bthesis_O_A_I_B_Bg_O_A_091_124_AALL_An_O_Acmod_A_Ig_An_J_A_060_061_Ar_059_AALL_An_O_Acmod_A_Ipoly_Ap_A_Ig_An_J_J_A_060_A_N_As_A_L_A1_A_P_Areal_A_ISuc_An_J_A_124_093_A_061_061_062_Athesis_J_A_061_061_062_Athesis_096) % 257.58/40.66 $i(v_p) & $i(v_s____) & $i(tc_Nat_Onat) & $i(v_r) & $i(tc_Complex_Ocomplex) & % 257.58/40.66 $i(tc_RealDef_Oreal) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : % 257.58/40.66 (c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = v2 & % 257.58/40.66 c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v_s____) = v1 & % 257.58/40.66 c_Polynomial_Opoly(tc_Complex_Ocomplex, v_p) = v0 & $i(v2) & $i(v1) & $i(v0) % 257.58/40.66 & ? [v3: $i] : ($i(v3) & ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : ! [v7: % 257.58/40.66 $i] : ! [v8: $i] : ! [v9: $i] : ! [v10: $i] : ! [v11: $i] : ! [v12: % 257.58/40.66 int] : (v12 = 0 | ~ (c_Nat_OSuc(v4) = v8) | ~ % 257.58/40.66 (c_RealDef_Oreal(tc_Nat_Onat, v8) = v9) | ~ % 257.58/40.66 (c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, v2, v9) = v10) | ~ % 257.58/40.66 (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v7, v11) = v12) | ~ % 257.58/40.66 (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v1, v10) = v11) | ~ % 257.58/40.66 (c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v6) = v7) | ~ % 257.58/40.66 (hAPP(v3, v4) = v5) | ~ (hAPP(v0, v5) = v6) | ~ $i(v4)) & ! [v4: $i] % 257.58/40.66 : ! [v5: $i] : ( ~ (hAPP(v3, v4) = v5) | ~ $i(v4) | ? [v6: $i] : % 257.58/40.66 (c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v5) = v6 & % 257.58/40.66 c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v6, v_r) = 0 & % 257.58/40.66 $i(v6))))) % 257.58/40.66 % 257.58/40.66 (fact__096_B_By_O_A_IEX_Az_Ax_O_Acmod_Az_A_060_061_Ar_A_G_A_N_A_I_N_Acmod_A_Ipoly_Ap_Az_J_J_A_060_Ay_J_A_061_A_I_N_As_A_060_Ay_J_096) % 257.58/40.66 $i(v_p) & $i(v_s____) & $i(v_r) & $i(tc_Complex_Ocomplex) & % 257.58/40.66 $i(tc_RealDef_Oreal) & ? [v0: $i] : ? [v1: $i] : % 257.58/40.66 (c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v_s____) = v1 & % 257.58/40.66 c_Polynomial_Opoly(tc_Complex_Ocomplex, v_p) = v0 & $i(v1) & $i(v0) & ! % 257.58/40.67 [v2: $i] : ! [v3: int] : (v3 = 0 | ~ % 257.58/40.67 (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v1, v2) = v3) | ~ $i(v2) % 257.58/40.67 | ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : ! [v7: $i] : ! [v8: $i] : ( % 257.58/40.67 ~ (c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v7) = v8) | ~ % 257.58/40.67 (c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v6) = v7) | ~ % 257.58/40.67 (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v8, v2) = 0) | ~ % 257.58/40.67 (c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v5) = v6) | ~ % 257.58/40.67 (hAPP(v0, v4) = v5) | ~ $i(v4) | ? [v9: $i] : ? [v10: int] : ( ~ (v10 % 257.58/40.67 = 0) & c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v4) = v9 % 257.58/40.67 & c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v9, v_r) = v10 & % 257.58/40.67 $i(v9)))) & ! [v2: $i] : ( ~ % 257.58/40.67 (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v1, v2) = 0) | ~ $i(v2) % 257.58/40.67 | ? [v3: $i] : ? [v4: $i] : ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : ? % 257.58/40.67 [v8: $i] : (c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v7) = v8 & % 257.58/40.67 c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v6) = v7 & % 257.58/40.67 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v8, v2) = 0 & % 257.58/40.67 c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v5) = v6 & % 257.58/40.67 c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v3) = v4 & % 257.58/40.67 c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v4, v_r) = 0 & % 257.58/40.67 hAPP(v0, v3) = v5 & $i(v8) & $i(v7) & $i(v6) & $i(v5) & $i(v4) & % 257.58/40.67 $i(v3)))) % 257.58/40.67 % 257.58/40.67 (fact__096_B_Bz_Ax_O_A_091_124_Acmod_Az_A_060_061_Ar_059_Acmod_A_Ipoly_Ap_Az_J_A_061_A_N_Ax_059_A_126_Ax_A_060_A1_A_124_093_A_061_061_062_AFalse_096) % 257.58/40.67 $i(v_p) & $i(v_r) & $i(tc_Complex_Ocomplex) & $i(tc_RealDef_Oreal) & ? [v0: % 257.58/40.67 $i] : ? [v1: $i] : (c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = v1 & % 257.58/40.67 c_Polynomial_Opoly(tc_Complex_Ocomplex, v_p) = v0 & $i(v1) & $i(v0) & ! % 257.58/40.67 [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: int] : (v5 = 0 | ~ % 257.58/40.67 (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v2, v1) = v5) | ~ % 257.58/40.67 (hAPP(v0, v3) = v4) | ~ $i(v3) | ~ $i(v2) | ? [v6: $i] : ? [v7: any] : % 257.58/40.67 ? [v8: $i] : ? [v9: $i] : % 257.58/40.67 (c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v2) = v9 & % 257.58/40.67 c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v4) = v8 & % 257.58/40.67 c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v3) = v6 & % 257.58/40.67 c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v6, v_r) = v7 & % 257.58/40.67 $i(v9) & $i(v8) & $i(v6) & ( ~ (v9 = v8) | ~ (v7 = 0))))) % 257.58/40.67 % 257.58/40.67 (fact__096_IEX_Az_Ax_O_Acmod_Az_A_060_061_Ar_A_G_Acmod_A_Ipoly_Ap_Az_J_A_060_A_N_As_J_A_061_A_I_N_As_A_060_A_N_As_J_096) % 257.58/40.68 $i(v_p) & $i(v_s____) & $i(v_r) & $i(tc_Complex_Ocomplex) & % 257.58/40.68 $i(tc_RealDef_Oreal) & ? [v0: $i] : ? [v1: $i] : ? [v2: any] : % 257.58/40.68 (c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v_s____) = v1 & % 257.58/40.68 c_Polynomial_Opoly(tc_Complex_Ocomplex, v_p) = v0 & % 257.58/40.68 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v1, v1) = v2 & $i(v1) & % 257.58/40.68 $i(v0) & ((v2 = 0 & ? [v3: $i] : ? [v4: $i] : ? [v5: $i] : ? [v6: $i] : % 257.58/40.68 (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v6, v1) = 0 & % 257.58/40.68 c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v5) = v6 & % 257.58/40.68 c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v3) = v4 & % 257.58/40.68 c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v4, v_r) = 0 & % 257.58/40.68 hAPP(v0, v3) = v5 & $i(v6) & $i(v5) & $i(v4) & $i(v3))) | ( ~ (v2 = 0) % 257.58/40.68 & ! [v3: $i] : ! [v4: $i] : ( ~ (hAPP(v0, v3) = v4) | ~ $i(v3) | ? % 257.58/40.68 [v5: $i] : ? [v6: any] : ? [v7: $i] : ? [v8: any] : % 257.58/40.68 (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v7, v1) = v8 & % 257.58/40.68 c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v4) = v7 & % 257.58/40.68 c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v3) = v5 & % 257.58/40.68 c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v5, v_r) = v6 & % 257.58/40.68 $i(v7) & $i(v5) & ( ~ (v8 = 0) | ~ (v6 = 0))))))) % 257.58/40.68 % 257.58/40.68 (fact__096abs_A_Icmod_A_Ipoly_Ap_A_Ig_A_If_A_IN1_A_L_AN2_J_J_J_J_A_N_A_N_As_J_A_060_A1_A_P_Areal_A_ISuc_A_IN1_A_L_AN2_J_J_096) % 257.58/40.68 $i(v_p) & $i(v_s____) & $i(v_N2____) & $i(v_N1____) & $i(tc_Nat_Onat) & % 257.58/40.68 $i(tc_Complex_Ocomplex) & $i(tc_RealDef_Oreal) & $i(v_f____) & ? [v0: $i] : % 257.58/40.68 ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] : ? [v5: $i] : ? [v6: % 257.58/40.68 $i] : ? [v7: $i] : ? [v8: $i] : ? [v9: $i] : ? [v10: $i] : ? [v11: $i] % 257.58/40.68 : ? [v12: $i] : (c_Nat_OSuc(v1) = v10 & c_RealDef_Oreal(tc_Nat_Onat, v10) = % 257.58/40.68 v11 & c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, v9, v11) = v12 & % 257.58/40.68 c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = v9 & % 257.58/40.68 c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v_s____) = v6 & % 257.58/40.68 c_Polynomial_Opoly(tc_Complex_Ocomplex, v_p) = v0 & % 257.58/40.68 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v8, v12) = 0 & % 257.58/40.68 c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, v7) = v8 & % 257.58/40.68 c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal, v5, v6) = v7 & % 257.58/40.68 c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v_N1____, v_N2____) = v1 & % 257.58/40.68 v_g____(v2) = v3 & c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v4) % 257.58/40.68 = v5 & hAPP(v0, v3) = v4 & hAPP(v_f____, v1) = v2 & $i(v12) & $i(v11) & % 257.58/40.68 $i(v10) & $i(v9) & $i(v8) & $i(v7) & $i(v6) & $i(v5) & $i(v4) & $i(v3) & % 257.58/40.68 $i(v2) & $i(v1) & $i(v0)) % 257.58/40.68 % 257.58/40.68 (fact__096cmod_A0_A_060_061_Ar_A_G_Acmod_A_Ipoly_Ap_A0_J_A_061_A_N_A_I_N_Acmod_A_Ipoly_Ap_A0_J_J_096) % 257.58/40.69 $i(v_p) & $i(v_r) & $i(tc_Complex_Ocomplex) & $i(tc_RealDef_Oreal) & ? [v0: % 257.58/40.69 $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] : ? [v5: $i] : % 257.58/40.69 (c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v5) = v4 & % 257.58/40.69 c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v4) = v5 & % 257.58/40.69 c_Polynomial_Opoly(tc_Complex_Ocomplex, v_p) = v2 & % 257.58/40.69 c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = v0 & % 257.58/40.69 c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v3) = v4 & % 257.58/40.69 c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v0) = v1 & % 257.58/40.69 c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v1, v_r) = 0 & hAPP(v2, % 257.58/40.69 v0) = v3 & $i(v5) & $i(v4) & $i(v3) & $i(v2) & $i(v1) & $i(v0)) % 257.58/40.69 % 257.58/40.69 (fact__096cmod_A_Ipoly_Ap_A_Ig_A_If_A_IN1_A_L_AN2_J_J_J_J_A_060_A_N_As_A_L_A1_A_P_Areal_A_ISuc_A_If_A_IN1_A_L_AN2_J_J_J_096) % 257.58/40.69 $i(v_p) & $i(v_s____) & $i(v_N2____) & $i(v_N1____) & $i(tc_Nat_Onat) & % 257.58/40.69 $i(tc_Complex_Ocomplex) & $i(tc_RealDef_Oreal) & $i(v_f____) & ? [v0: $i] : % 257.58/40.69 ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] : ? [v5: $i] : ? [v6: % 257.58/40.69 $i] : ? [v7: $i] : ? [v8: $i] : ? [v9: $i] : ? [v10: $i] : ? [v11: $i] % 257.58/40.69 : (c_Nat_OSuc(v2) = v8 & c_RealDef_Oreal(tc_Nat_Onat, v8) = v9 & % 257.58/40.69 c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, v7, v9) = v10 & % 257.58/40.69 c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = v7 & % 257.58/40.69 c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v_s____) = v6 & % 257.58/40.69 c_Polynomial_Opoly(tc_Complex_Ocomplex, v_p) = v0 & % 257.58/40.69 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v5, v11) = 0 & % 257.58/40.69 c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v_N1____, v_N2____) = v1 & % 257.58/40.69 c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v6, v10) = v11 & v_g____(v2) = % 257.58/40.69 v3 & c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v4) = v5 & % 257.58/40.69 hAPP(v0, v3) = v4 & hAPP(v_f____, v1) = v2 & $i(v11) & $i(v10) & $i(v9) & % 257.58/40.69 $i(v8) & $i(v7) & $i(v6) & $i(v5) & $i(v4) & $i(v3) & $i(v2) & $i(v1) & % 257.58/40.69 $i(v0)) % 257.58/40.69 % 257.58/40.69 (fact_abs__norm__cancel) % 257.58/40.69 $i(tc_RealDef_Oreal) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ % 257.58/40.69 (c_RealVector_Onorm__class_Onorm(v1, v0) = v2) | ~ $i(v1) | ~ $i(v0) | ? % 257.58/40.69 [v3: any] : ? [v4: $i] : (c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, v2) = % 257.58/40.69 v4 & class_RealVector_Oreal__normed__vector(v1) = v3 & $i(v4) & ( ~ (v3 = % 257.58/40.69 0) | v4 = v2))) % 257.58/40.69 % 257.58/40.69 (fact_calculation) % 257.58/40.70 $i(v_p) & $i(v_r) & $i(tc_Complex_Ocomplex) & $i(tc_RealDef_Oreal) & ? [v0: % 257.58/40.70 $i] : ? [v1: any] : ? [v2: $i] : (c_Polynomial_Opoly(tc_Complex_Ocomplex, % 257.58/40.70 v_p) = v2 & c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & % 257.58/40.70 c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0, v_r) = v1 & $i(v2) & % 257.58/40.70 $i(v0) & (v1 = 0 | ? [v3: $i] : ? [v4: $i] : ? [v5: $i] : % 257.58/40.70 (c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v4) = v5 & hAPP(v2, % 257.58/40.70 v3) = v4 & $i(v5) & $i(v4) & $i(v3) & ! [v6: $i] : ! [v7: $i] : ! % 257.58/40.70 [v8: $i] : ! [v9: int] : (v9 = 0 | ~ % 257.58/40.70 (c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v7) = v8) | ~ % 257.58/40.70 (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v5, v8) = v9) | % 257.58/40.70 ~ (hAPP(v2, v6) = v7) | ~ $i(v6) | ? [v10: $i] : ? [v11: int] : ( ~ % 257.58/40.70 (v11 = 0) & c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v6) % 257.58/40.70 = v10 & c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v10, % 257.58/40.70 v_r) = v11 & $i(v10)))))) % 257.58/40.70 % 257.58/40.70 (fact_complex__i__not__zero) % 257.58/40.70 $i(c_Complex_Oii) & $i(tc_Complex_Ocomplex) & ? [v0: $i] : ( ~ (v0 = % 257.58/40.70 c_Complex_Oii) & c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = v0 & % 257.58/40.70 $i(v0)) % 257.58/40.70 % 257.58/40.70 (fact_d_I2_J) % 257.58/40.70 $i(c_Int_OPls) & $i(v_p) & $i(v_s____) & $i(v_d____) & $i(v_z____) & % 257.58/40.70 $i(tc_Complex_Ocomplex) & $i(tc_RealDef_Oreal) & ? [v0: $i] : ? [v1: $i] : % 257.58/40.70 ? [v2: $i] : ? [v3: $i] : ? [v4: $i] : ? [v5: $i] : ? [v6: $i] : ? [v7: % 257.58/40.70 $i] : ? [v8: $i] : ? [v9: $i] : ? [v10: $i] : (c_Int_OBit1(c_Int_OPls) = % 257.58/40.70 v7 & c_Int_OBit0(v7) = v8 & % 257.58/40.70 c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, v8) = v9 & % 257.58/40.70 c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, v6, v9) = v10 & % 257.58/40.70 c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v_s____) = v4 & % 257.58/40.70 c_Polynomial_Opoly(tc_Complex_Ocomplex, v_p) = v1 & % 257.58/40.70 c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & % 257.58/40.70 c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, v5) = v6 & % 257.93/40.70 c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal, v3, v4) = v5 & % 257.93/40.70 c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v2) = v3 & hAPP(v1, % 257.93/40.70 v_z____) = v2 & $i(v10) & $i(v9) & $i(v8) & $i(v7) & $i(v6) & $i(v5) & % 257.93/40.70 $i(v4) & $i(v3) & $i(v2) & $i(v1) & $i(v0) & ! [v11: $i] : ! [v12: $i] : ( % 257.93/40.70 ~ (hAPP(v1, v11) = v12) | ~ $i(v11) | ? [v13: $i] : ? [v14: $i] : ? % 257.93/40.70 [v15: any] : ? [v16: any] : ? [v17: $i] : ? [v18: $i] : ? [v19: any] : % 257.93/40.70 (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v18, v10) = v19 & % 257.93/40.70 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v14, v_d____) = v16 & % 257.93/40.70 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v14) = v15 & % 257.93/40.70 c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex, v12, v2) = v17 & % 257.93/40.70 c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex, v11, v_z____) = v13 & % 257.93/40.70 c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v17) = v18 & % 257.93/40.70 c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v13) = v14 & % 257.93/40.70 $i(v18) & $i(v17) & $i(v14) & $i(v13) & ( ~ (v16 = 0) | ~ (v15 = 0) | % 257.93/40.70 v19 = 0)))) % 257.93/40.70 % 257.93/40.70 (fact_e) % 257.93/40.71 $i(v_p) & $i(v_s____) & $i(v_z____) & $i(tc_Complex_Ocomplex) & % 257.93/40.71 $i(tc_RealDef_Oreal) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : % 257.93/40.71 ? [v4: $i] : ? [v5: $i] : ? [v6: $i] : % 257.93/40.71 (c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v_s____) = v4 & % 257.93/40.71 c_Polynomial_Opoly(tc_Complex_Ocomplex, v_p) = v1 & % 257.93/40.71 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v6) = 0 & % 257.93/40.71 c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & % 257.93/40.71 c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, v5) = v6 & % 257.93/40.71 c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal, v3, v4) = v5 & % 257.93/40.71 c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v2) = v3 & hAPP(v1, % 257.93/40.71 v_z____) = v2 & $i(v6) & $i(v5) & $i(v4) & $i(v3) & $i(v2) & $i(v1) & % 257.93/40.71 $i(v0)) % 257.93/40.71 % 257.93/40.71 (fact_e2) % 257.93/40.71 $i(c_Int_OPls) & $i(v_p) & $i(v_s____) & $i(v_z____) & $i(tc_Complex_Ocomplex) % 257.93/40.71 & $i(tc_RealDef_Oreal) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] % 257.93/40.71 : ? [v4: $i] : ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : ? [v8: $i] : ? % 257.93/40.71 [v9: $i] : ? [v10: $i] : (c_Int_OBit1(c_Int_OPls) = v7 & c_Int_OBit0(v7) = v8 % 257.93/40.71 & c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, v8) = v9 & % 257.93/40.71 c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, v6, v9) = v10 & % 257.93/40.71 c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v_s____) = v4 & % 257.93/40.71 c_Polynomial_Opoly(tc_Complex_Ocomplex, v_p) = v1 & % 257.93/40.71 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v10) = 0 & % 257.93/40.71 c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & % 257.93/40.71 c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, v5) = v6 & % 257.93/40.71 c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal, v3, v4) = v5 & % 257.93/40.71 c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v2) = v3 & hAPP(v1, % 257.93/40.71 v_z____) = v2 & $i(v10) & $i(v9) & $i(v8) & $i(v7) & $i(v6) & $i(v5) & % 257.93/40.71 $i(v4) & $i(v3) & $i(v2) & $i(v1) & $i(v0)) % 257.93/40.71 % 257.93/40.71 (fact_g_I2_J) % 257.93/40.71 $i(v_p) & $i(v_s____) & $i(tc_Nat_Onat) & $i(tc_Complex_Ocomplex) & % 257.93/40.71 $i(tc_RealDef_Oreal) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : % 257.93/40.71 (c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = v2 & % 257.93/40.71 c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v_s____) = v1 & % 257.93/40.71 c_Polynomial_Opoly(tc_Complex_Ocomplex, v_p) = v0 & $i(v2) & $i(v1) & $i(v0) % 257.93/40.71 & ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : ! [v7: $i] : ! % 257.93/40.71 [v8: $i] : ! [v9: $i] : ! [v10: $i] : ! [v11: int] : (v11 = 0 | ~ % 257.93/40.71 (c_Nat_OSuc(v3) = v7) | ~ (c_RealDef_Oreal(tc_Nat_Onat, v7) = v8) | ~ % 257.93/40.71 (c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, v2, v8) = v9) | ~ % 257.93/40.72 (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v6, v10) = v11) | ~ % 257.93/40.72 (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v1, v9) = v10) | ~ % 257.93/40.72 (v_g____(v3) = v4) | ~ % 257.93/40.72 (c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v5) = v6) | ~ % 257.93/40.72 (hAPP(v0, v4) = v5) | ~ $i(v3))) % 257.93/40.72 % 257.93/40.72 (fact_mth1) % 257.93/40.72 $i(v_p) & $i(v_r) & $i(tc_Complex_Ocomplex) & $i(tc_RealDef_Oreal) & ? [v0: % 257.93/40.72 $i] : (c_Polynomial_Opoly(tc_Complex_Ocomplex, v_p) = v0 & $i(v0) & ? [v1: % 257.93/40.72 $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] : ? [v5: $i] : % 257.93/40.72 (c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v1) = v5 & % 257.93/40.72 c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v4) = v5 & % 257.93/40.72 c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v2) = v3 & % 257.93/40.72 c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v3, v_r) = 0 & % 257.93/40.72 hAPP(v0, v2) = v4 & $i(v5) & $i(v4) & $i(v3) & $i(v2) & $i(v1))) % 257.93/40.72 % 257.93/40.72 (fact_mth2) % 257.93/40.72 $i(v_p) & $i(v_r) & $i(tc_Complex_Ocomplex) & $i(tc_RealDef_Oreal) & ? [v0: % 257.93/40.72 $i] : (c_Polynomial_Opoly(tc_Complex_Ocomplex, v_p) = v0 & $i(v0) & ? [v1: % 257.93/40.72 $i] : ($i(v1) & ! [v2: $i] : ! [v3: $i] : ( ~ % 257.93/40.72 (c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v2) = v3) | ~ $i(v2) % 257.93/40.72 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v2, v1) = 0 | ! [v4: % 257.93/40.72 $i] : ! [v5: $i] : ( ~ (hAPP(v0, v4) = v5) | ~ $i(v4) | ? [v6: $i] % 257.93/40.72 : ? [v7: any] : ? [v8: $i] : % 257.93/40.72 (c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v5) = v8 & % 257.93/40.72 c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v4) = v6 & % 257.93/40.72 c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v6, v_r) = v7 & % 257.93/40.72 $i(v8) & $i(v6) & ( ~ (v8 = v3) | ~ (v7 = 0))))))) % 257.93/40.72 % 257.93/40.72 (fact_norm__eq__zero) % 257.93/40.72 $i(tc_RealDef_Oreal) & ? [v0: $i] : % 257.93/40.72 (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & $i(v0) & ! [v1: $i] : % 257.93/40.72 ! [v2: $i] : ! [v3: $i] : ( ~ (c_RealVector_Onorm__class_Onorm(v2, v1) = % 257.93/40.72 v3) | ~ $i(v2) | ~ $i(v1) | ? [v4: any] : ? [v5: $i] : % 257.93/40.72 (c_Groups_Ozero__class_Ozero(v2) = v5 & % 257.93/40.72 class_RealVector_Oreal__normed__vector(v2) = v4 & $i(v5) & ( ~ (v4 = 0) % 257.93/40.72 | (( ~ (v5 = v1) | v3 = v0) & ( ~ (v3 = v0) | v5 = v1)))))) % 257.93/40.72 % 257.93/40.72 (fact_norm__ge__zero) % 257.93/40.73 $i(tc_RealDef_Oreal) & ? [v0: $i] : % 257.93/40.73 (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & $i(v0) & ! [v1: $i] : % 257.93/40.73 ! [v2: $i] : ! [v3: $i] : ( ~ (c_RealVector_Onorm__class_Onorm(v2, v1) = % 257.93/40.73 v3) | ~ $i(v2) | ~ $i(v1) | ? [v4: any] : ? [v5: any] : % 257.93/40.73 (class_RealVector_Oreal__normed__vector(v2) = v4 & % 257.93/40.73 c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0, v3) = v5 & ( ~ % 257.93/40.73 (v4 = 0) | v5 = 0)))) % 257.93/40.73 % 257.93/40.73 (fact_norm__le__zero__iff) % 257.93/40.73 $i(tc_RealDef_Oreal) & ? [v0: $i] : % 257.93/40.73 (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & $i(v0) & ! [v1: $i] : % 257.93/40.73 ! [v2: $i] : ! [v3: $i] : ( ~ (c_RealVector_Onorm__class_Onorm(v2, v1) = % 257.93/40.73 v3) | ~ $i(v2) | ~ $i(v1) | ? [v4: any] : ? [v5: any] : ? [v6: $i] % 257.93/40.73 : (c_Groups_Ozero__class_Ozero(v2) = v6 & % 257.93/40.73 class_RealVector_Oreal__normed__vector(v2) = v4 & % 257.93/40.73 c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v3, v0) = v5 & % 257.93/40.73 $i(v6) & ( ~ (v4 = 0) | (( ~ (v6 = v1) | v5 = 0) & ( ~ (v5 = 0) | v6 = % 257.93/40.73 v1)))))) % 257.93/40.73 % 257.93/40.73 (fact_norm__minus__commute) % 257.93/40.73 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ( ~ % 257.93/40.73 (c_Groups_Ominus__class_Ominus(v2, v0, v1) = v3) | ~ % 257.93/40.73 (c_RealVector_Onorm__class_Onorm(v2, v3) = v4) | ~ $i(v2) | ~ $i(v1) | ~ % 257.93/40.73 $i(v0) | ? [v5: any] : ? [v6: $i] : ? [v7: $i] : % 257.93/40.73 (c_Groups_Ominus__class_Ominus(v2, v1, v0) = v6 & % 257.93/40.73 class_RealVector_Oreal__normed__vector(v2) = v5 & % 257.93/40.73 c_RealVector_Onorm__class_Onorm(v2, v6) = v7 & $i(v7) & $i(v6) & ( ~ (v5 = % 257.93/40.73 0) | v7 = v4))) % 257.93/40.73 % 257.93/40.73 (fact_norm__not__less__zero) % 257.93/40.73 $i(tc_RealDef_Oreal) & ? [v0: $i] : % 257.93/40.73 (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & $i(v0) & ! [v1: $i] : % 257.93/40.73 ! [v2: $i] : ! [v3: $i] : ( ~ (c_RealVector_Onorm__class_Onorm(v2, v1) = % 257.93/40.73 v3) | ~ $i(v2) | ~ $i(v1) | ? [v4: any] : ? [v5: any] : % 257.93/40.73 (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v3, v0) = v5 & % 257.93/40.73 class_RealVector_Oreal__normed__vector(v2) = v4 & ( ~ (v5 = 0) | ~ (v4 % 257.93/40.73 = 0))))) % 257.93/40.73 % 257.93/40.73 (fact_norm__triangle__ineq3) % 257.93/40.74 $i(tc_RealDef_Oreal) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : % 257.93/40.74 ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : ! [v7: $i] : ! [v8: $i] : ! [v9: % 257.93/40.74 int] : (v9 = 0 | ~ (c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, v5) = v6) | % 257.93/40.74 ~ (c_Groups_Ominus__class_Ominus(v2, v1, v0) = v7) | ~ % 257.93/40.74 (c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal, v3, v4) = v5) | ~ % 257.93/40.74 (c_RealVector_Onorm__class_Onorm(v2, v7) = v8) | ~ % 257.93/40.74 (c_RealVector_Onorm__class_Onorm(v2, v1) = v3) | ~ % 257.93/40.74 (c_RealVector_Onorm__class_Onorm(v2, v0) = v4) | ~ % 257.93/40.74 (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v6, v8) = v9) | ~ % 257.93/40.74 $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v10: int] : ( ~ (v10 = 0) & % 257.93/40.74 class_RealVector_Oreal__normed__vector(v2) = v10)) % 257.93/40.74 % 257.93/40.74 (fact_s) % 257.93/40.74 $i(v_p) & $i(v_s____) & $i(v_r) & $i(tc_Complex_Ocomplex) & % 257.93/40.74 $i(tc_RealDef_Oreal) & ? [v0: $i] : (c_Polynomial_Opoly(tc_Complex_Ocomplex, % 257.93/40.74 v_p) = v0 & $i(v0) & ! [v1: $i] : ! [v2: int] : (v2 = 0 | ~ % 257.93/40.74 (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v1, v_s____) = v2) | ~ % 257.93/40.74 $i(v1) | ! [v3: $i] : ! [v4: $i] : ( ~ % 257.93/40.74 (c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v3) = v4) | ~ $i(v3) % 257.93/40.74 | ? [v5: int] : ( ~ (v5 = 0) & % 257.93/40.74 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v1, v3) = v5) | ! % 257.93/40.74 [v5: $i] : ! [v6: $i] : ( ~ (hAPP(v0, v5) = v6) | ~ $i(v5) | ? [v7: % 257.93/40.74 $i] : ? [v8: any] : ? [v9: $i] : % 257.93/40.74 (c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v6) = v9 & % 257.93/40.74 c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v5) = v7 & % 257.93/40.74 c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v7, v_r) = v8 & % 257.93/40.74 $i(v9) & $i(v7) & ( ~ (v9 = v4) | ~ (v8 = 0)))))) & ! [v1: $i] : ( % 257.93/40.74 ~ (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v1, v_s____) = 0) | ~ % 257.93/40.74 $i(v1) | ? [v2: $i] : ? [v3: $i] : % 257.93/40.74 (c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v2) = v3 & % 257.93/40.74 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v1, v2) = 0 & $i(v3) & % 257.93/40.74 $i(v2) & ? [v4: $i] : ? [v5: $i] : ? [v6: $i] : % 257.93/40.74 (c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v6) = v3 & % 257.93/40.74 c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v4) = v5 & % 257.93/40.74 c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v5, v_r) = 0 & % 257.93/40.74 hAPP(v0, v4) = v6 & $i(v6) & $i(v5) & $i(v4))))) % 257.93/40.74 % 257.93/40.74 (fact_s1) % 257.93/40.75 $i(v_p) & $i(v_s____) & $i(v_r) & $i(tc_Complex_Ocomplex) & % 257.93/40.75 $i(tc_RealDef_Oreal) & ? [v0: $i] : ? [v1: $i] : % 257.93/40.75 (c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v_s____) = v1 & % 257.93/40.75 c_Polynomial_Opoly(tc_Complex_Ocomplex, v_p) = v0 & $i(v1) & $i(v0) & ! % 257.93/40.75 [v2: $i] : ! [v3: int] : (v3 = 0 | ~ % 257.93/40.75 (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v1, v2) = v3) | ~ $i(v2) % 257.93/40.75 | ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : ( ~ % 257.93/40.75 (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v6, v2) = 0) | ~ % 257.93/40.75 (c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v5) = v6) | ~ % 257.93/40.75 (hAPP(v0, v4) = v5) | ~ $i(v4) | ? [v7: $i] : ? [v8: int] : ( ~ (v8 = % 257.93/40.75 0) & c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v4) = v7 & % 257.93/40.75 c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v7, v_r) = v8 & % 257.93/40.75 $i(v7)))) & ! [v2: $i] : ( ~ % 257.93/40.75 (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v1, v2) = 0) | ~ $i(v2) % 257.93/40.75 | ? [v3: $i] : ? [v4: $i] : ? [v5: $i] : ? [v6: $i] : % 257.93/40.75 (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v6, v2) = 0 & % 257.93/40.75 c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v5) = v6 & % 257.93/40.75 c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v3) = v4 & % 257.93/40.75 c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v4, v_r) = 0 & % 257.93/40.75 hAPP(v0, v3) = v5 & $i(v6) & $i(v5) & $i(v4) & $i(v3)))) % 257.93/40.75 % 257.93/40.75 (fact_s1m) % 257.93/40.75 $i(v_p) & $i(v_s____) & $i(v_r) & $i(tc_Complex_Ocomplex) & % 257.93/40.75 $i(tc_RealDef_Oreal) & ? [v0: $i] : ? [v1: $i] : % 257.93/40.75 (c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v_s____) = v0 & % 257.93/40.75 c_Polynomial_Opoly(tc_Complex_Ocomplex, v_p) = v1 & $i(v1) & $i(v0) & ! % 257.93/40.75 [v2: $i] : ! [v3: $i] : ( ~ (hAPP(v1, v2) = v3) | ~ $i(v2) | ? [v4: $i] : % 257.93/40.75 ? [v5: any] : ? [v6: $i] : ? [v7: any] : % 257.93/40.75 (c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v3) = v6 & % 257.93/40.75 c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v2) = v4 & % 257.93/40.75 c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v4, v_r) = v5 & % 257.93/40.75 c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0, v6) = v7 & % 257.93/40.75 $i(v6) & $i(v4) & ( ~ (v5 = 0) | v7 = 0)))) % 257.93/40.75 % 257.93/40.75 (fact_th) % 257.93/40.75 $i(v_p) & $i(v_s____) & $i(tc_Nat_Onat) & $i(v_r) & $i(tc_Complex_Ocomplex) & % 257.93/40.75 $i(tc_RealDef_Oreal) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : % 257.93/40.75 (c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = v2 & % 257.93/40.75 c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v_s____) = v1 & % 257.93/40.75 c_Polynomial_Opoly(tc_Complex_Ocomplex, v_p) = v0 & $i(v2) & $i(v1) & $i(v0) % 257.93/40.75 & ! [v3: $i] : ! [v4: $i] : ( ~ (c_Nat_OSuc(v3) = v4) | ~ $i(v3) | ? % 257.93/40.75 [v5: $i] : ? [v6: $i] : ? [v7: $i] : (c_RealDef_Oreal(tc_Nat_Onat, v4) = % 257.93/40.75 v5 & c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, v2, v5) = v6 & % 257.93/40.75 c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v1, v6) = v7 & $i(v7) & % 257.93/40.75 $i(v6) & $i(v5) & ? [v8: $i] : ? [v9: $i] : ? [v10: $i] : ? [v11: % 257.93/40.75 $i] : (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v11, v7) = 0 & % 257.93/40.75 c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v10) = v11 & % 257.93/40.75 c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v8) = v9 & % 257.93/40.75 c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v9, v_r) = 0 & % 257.93/40.75 hAPP(v0, v8) = v10 & $i(v11) & $i(v10) & $i(v9) & $i(v8))))) % 257.93/40.75 % 257.93/40.75 (fact_th00) % 257.93/40.76 $i(v_s____) & $i(v_N2____) & $i(v_N1____) & $i(tc_Nat_Onat) & % 257.93/40.76 $i(tc_RealDef_Oreal) & $i(v_f____) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : % 257.93/40.76 ? [v3: $i] : ? [v4: $i] : ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : ? [v8: % 257.93/40.76 $i] : ? [v9: $i] : ? [v10: $i] : ? [v11: $i] : (c_Nat_OSuc(v3) = v4 & % 257.93/40.76 c_Nat_OSuc(v2) = v8 & c_RealDef_Oreal(tc_Nat_Onat, v8) = v9 & % 257.93/40.76 c_RealDef_Oreal(tc_Nat_Onat, v4) = v5 & % 257.93/40.76 c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, v1, v9) = v10 & % 257.93/40.76 c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, v1, v5) = v6 & % 257.93/40.76 c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = v1 & % 257.93/40.76 c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v_s____) = v0 & % 257.93/40.76 c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v_N1____, v_N2____) = v2 & % 257.93/40.76 c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v0, v10) = v11 & % 257.93/40.76 c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v0, v6) = v7 & % 257.93/40.76 c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v7, v11) = 0 & % 257.93/40.76 hAPP(v_f____, v2) = v3 & $i(v11) & $i(v10) & $i(v9) & $i(v8) & $i(v7) & % 257.93/40.76 $i(v6) & $i(v5) & $i(v4) & $i(v3) & $i(v2) & $i(v1) & $i(v0)) % 257.93/40.76 % 257.93/40.76 (fact_th1) % 257.93/40.76 $i(c_Int_OPls) & $i(v_p) & $i(v_s____) & $i(v_d____) & $i(v_z____) & % 257.93/40.76 $i(tc_Complex_Ocomplex) & $i(tc_RealDef_Oreal) & ? [v0: $i] : ? [v1: $i] : % 257.93/40.76 ? [v2: $i] : ? [v3: $i] : ? [v4: $i] : ? [v5: $i] : ? [v6: $i] : ? [v7: % 257.93/40.76 $i] : ? [v8: $i] : ? [v9: $i] : (c_Int_OBit1(c_Int_OPls) = v6 & % 257.93/40.76 c_Int_OBit0(v6) = v7 & c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, % 257.93/40.76 v7) = v8 & c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, v5, v8) = v9 % 257.93/40.76 & c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v_s____) = v3 & % 257.93/40.76 c_Polynomial_Opoly(tc_Complex_Ocomplex, v_p) = v0 & % 257.93/40.76 c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, v4) = v5 & % 257.93/40.76 c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal, v2, v3) = v4 & % 257.93/40.76 c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v1) = v2 & hAPP(v0, % 257.93/40.76 v_z____) = v1 & $i(v9) & $i(v8) & $i(v7) & $i(v6) & $i(v5) & $i(v4) & % 257.93/40.76 $i(v3) & $i(v2) & $i(v1) & $i(v0) & ! [v10: $i] : ! [v11: $i] : ( ~ % 257.93/40.76 (hAPP(v0, v10) = v11) | ~ $i(v10) | ? [v12: $i] : ? [v13: $i] : ? % 257.93/40.76 [v14: any] : ? [v15: $i] : ? [v16: $i] : ? [v17: any] : % 257.93/40.76 (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v16, v9) = v17 & % 257.93/40.76 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v13, v_d____) = v14 & % 257.93/40.76 c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex, v11, v1) = v15 & % 257.93/40.76 c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex, v10, v_z____) = v12 & % 257.93/40.76 c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v15) = v16 & % 257.93/40.76 c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v12) = v13 & % 257.93/40.76 $i(v16) & $i(v15) & $i(v13) & $i(v12) & ( ~ (v14 = 0) | v17 = 0)))) % 257.93/40.76 % 257.93/40.76 (fact_th2) % 257.93/40.76 $i(c_Int_OPls) & $i(v_p) & $i(v_s____) & $i(v_z____) & $i(v_N2____) & % 257.93/40.76 $i(v_N1____) & $i(tc_Nat_Onat) & $i(tc_Complex_Ocomplex) & % 257.93/40.76 $i(tc_RealDef_Oreal) & $i(v_f____) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : % 257.93/40.76 ? [v3: $i] : ? [v4: $i] : ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : ? [v8: % 257.93/40.76 $i] : ? [v9: $i] : ? [v10: $i] : ? [v11: $i] : ? [v12: $i] : ? [v13: % 257.93/40.76 $i] : ? [v14: $i] : ? [v15: $i] : (c_Int_OBit1(c_Int_OPls) = v12 & % 257.93/40.76 c_Int_OBit0(v12) = v13 & c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, % 257.93/40.76 v13) = v14 & c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, v11, v14) = % 257.93/40.76 v15 & c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v_s____) = v9 & % 257.93/40.76 c_Polynomial_Opoly(tc_Complex_Ocomplex, v_p) = v0 & % 257.93/40.76 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v7, v15) = 0 & % 257.93/40.76 c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, v10) = v11 & % 257.93/40.76 c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex, v4, v5) = v6 & % 257.93/40.76 c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal, v8, v9) = v10 & % 257.93/40.76 c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v_N1____, v_N2____) = v1 & % 257.93/40.76 v_g____(v2) = v3 & c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v6) % 257.93/40.76 = v7 & c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v5) = v8 & % 257.93/40.76 hAPP(v0, v3) = v4 & hAPP(v0, v_z____) = v5 & hAPP(v_f____, v1) = v2 & % 257.93/40.76 $i(v15) & $i(v14) & $i(v13) & $i(v12) & $i(v11) & $i(v10) & $i(v9) & $i(v8) % 257.93/40.76 & $i(v7) & $i(v6) & $i(v5) & $i(v4) & $i(v3) & $i(v2) & $i(v1) & $i(v0)) % 257.93/40.76 % 257.93/40.77 (fact_th31) % 257.93/40.77 $i(v_p) & $i(v_s____) & $i(v_N2____) & $i(v_N1____) & $i(tc_Nat_Onat) & % 257.93/40.77 $i(tc_Complex_Ocomplex) & $i(tc_RealDef_Oreal) & $i(v_f____) & ? [v0: $i] : % 257.93/40.77 ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] : ? [v5: $i] : ? [v6: % 257.93/40.77 $i] : (c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v_s____) = v0 & % 257.93/40.77 c_Polynomial_Opoly(tc_Complex_Ocomplex, v_p) = v1 & % 257.93/40.77 c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v_N1____, v_N2____) = v2 & % 257.93/40.77 v_g____(v3) = v4 & c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v5) % 257.93/40.77 = v6 & c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0, v6) = 0 & % 257.93/40.77 hAPP(v1, v4) = v5 & hAPP(v_f____, v2) = v3 & $i(v6) & $i(v5) & $i(v4) & % 257.93/40.77 $i(v3) & $i(v2) & $i(v1) & $i(v0)) % 257.93/40.77 % 257.93/40.77 (fact_th32) % 257.93/40.77 $i(v_p) & $i(v_s____) & $i(v_N2____) & $i(v_N1____) & $i(tc_Nat_Onat) & % 257.93/40.77 $i(tc_Complex_Ocomplex) & $i(tc_RealDef_Oreal) & $i(v_f____) & ? [v0: $i] : % 257.93/40.77 ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] : ? [v5: $i] : ? [v6: % 257.93/40.77 $i] : ? [v7: $i] : ? [v8: $i] : ? [v9: $i] : ? [v10: $i] : ? [v11: $i] % 257.93/40.77 : (c_Nat_OSuc(v1) = v8 & c_RealDef_Oreal(tc_Nat_Onat, v8) = v9 & % 257.93/40.77 c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, v7, v9) = v10 & % 257.93/40.77 c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = v7 & % 257.93/40.77 c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v_s____) = v6 & % 257.93/40.77 c_Polynomial_Opoly(tc_Complex_Ocomplex, v_p) = v0 & % 257.93/40.77 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v5, v11) = 0 & % 257.93/40.77 c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v_N1____, v_N2____) = v1 & % 257.93/40.77 c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v6, v10) = v11 & v_g____(v2) = % 257.93/40.77 v3 & c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v4) = v5 & % 257.93/40.77 hAPP(v0, v3) = v4 & hAPP(v_f____, v1) = v2 & $i(v11) & $i(v10) & $i(v9) & % 257.93/40.77 $i(v8) & $i(v7) & $i(v6) & $i(v5) & $i(v4) & $i(v3) & $i(v2) & $i(v1) & % 257.93/40.77 $i(v0)) % 257.93/40.77 % 257.93/40.77 (fact_thc1) % 257.93/40.77 $i(c_Int_OPls) & $i(v_p) & $i(v_s____) & $i(v_z____) & $i(v_N2____) & % 257.93/40.77 $i(v_N1____) & $i(tc_Nat_Onat) & $i(tc_Complex_Ocomplex) & % 257.93/40.77 $i(tc_RealDef_Oreal) & $i(v_f____) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : % 257.93/40.77 ? [v3: $i] : ? [v4: $i] : ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : ? [v8: % 257.93/40.77 $i] : ? [v9: $i] : ? [v10: $i] : ? [v11: $i] : ? [v12: $i] : ? [v13: % 257.93/40.77 $i] : ? [v14: $i] : ? [v15: $i] : ? [v16: $i] : (c_Int_OBit1(c_Int_OPls) % 257.93/40.77 = v13 & c_Int_OBit0(v13) = v14 & % 257.93/40.77 c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, v14) = v15 & % 257.93/40.77 c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, v12, v15) = v16 & % 257.93/40.78 c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v_s____) = v6 & % 257.93/40.78 c_Polynomial_Opoly(tc_Complex_Ocomplex, v_p) = v0 & % 257.93/40.78 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v8, v16) = 0 & % 257.93/40.78 c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, v11) = v12 & % 257.93/40.78 c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, v7) = v8 & % 257.93/40.78 c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal, v10, v6) = v11 & % 257.93/40.78 c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal, v5, v6) = v7 & % 257.93/40.78 c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v_N1____, v_N2____) = v1 & % 257.93/40.78 v_g____(v2) = v3 & c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v9) % 257.93/40.78 = v10 & c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v4) = v5 & % 257.93/40.78 hAPP(v0, v3) = v4 & hAPP(v0, v_z____) = v9 & hAPP(v_f____, v1) = v2 & % 257.93/40.78 $i(v16) & $i(v15) & $i(v14) & $i(v13) & $i(v12) & $i(v11) & $i(v10) & $i(v9) % 257.93/40.78 & $i(v8) & $i(v7) & $i(v6) & $i(v5) & $i(v4) & $i(v3) & $i(v2) & $i(v1) & % 257.93/40.78 $i(v0)) % 257.93/40.78 % 257.93/40.78 (fact_wr) % 257.93/40.78 $i(v_w____) & $i(v_r) & $i(tc_Complex_Ocomplex) & $i(tc_RealDef_Oreal) & ? % 257.93/40.78 [v0: $i] : (c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v_w____) = v0 % 257.93/40.78 & c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0, v_r) = 0 & $i(v0)) % 257.93/40.78 % 257.93/40.78 (fact_zero__less__norm__iff) % 257.93/40.78 $i(tc_RealDef_Oreal) & ? [v0: $i] : % 257.93/40.78 (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & $i(v0) & ! [v1: $i] : % 257.93/40.78 ! [v2: $i] : ! [v3: $i] : ( ~ (c_RealVector_Onorm__class_Onorm(v2, v1) = % 257.93/40.78 v3) | ~ $i(v2) | ~ $i(v1) | ? [v4: any] : ? [v5: any] : ? [v6: $i] % 257.93/40.78 : (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v3) = v5 & % 257.93/40.78 c_Groups_Ozero__class_Ozero(v2) = v6 & % 257.93/40.78 class_RealVector_Oreal__normed__vector(v2) = v4 & $i(v6) & ( ~ (v4 = 0) % 257.93/40.78 | (( ~ (v6 = v1) | ~ (v5 = 0)) & (v6 = v1 | v5 = 0)))))) % 257.93/40.78 % 258.27/40.78 (function-axioms) % 258.27/40.82 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : (v1 = v0 % 258.27/40.82 | ~ (c_Groups_Otimes__class_Otimes(v4, v3, v2) = v1) | ~ % 258.27/40.82 (c_Groups_Otimes__class_Otimes(v4, v3, v2) = v0)) & ! [v0: $i] : ! [v1: % 258.27/40.82 $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : (v1 = v0 | ~ % 258.27/40.82 (c_Divides_Odiv__class_Odiv(v4, v3, v2) = v1) | ~ % 258.27/40.82 (c_Divides_Odiv__class_Odiv(v4, v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : % 258.27/40.82 ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : (v1 = v0 | ~ % 258.27/40.82 (c_Polynomial_Oorder(v4, v3, v2) = v1) | ~ (c_Polynomial_Oorder(v4, v3, v2) % 258.27/40.82 = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: % 258.27/40.82 $i] : (v1 = v0 | ~ (c_Rings_Oinverse__class_Odivide(v4, v3, v2) = v1) | ~ % 258.27/40.82 (c_Rings_Oinverse__class_Odivide(v4, v3, v2) = v0)) & ! [v0: % 258.27/40.82 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : ! [v3: $i] % 258.27/40.82 : ! [v4: $i] : (v1 = v0 | ~ (c_Orderings_Oord__class_Oless(v4, v3, v2) = v1) % 258.27/40.82 | ~ (c_Orderings_Oord__class_Oless(v4, v3, v2) = v0)) & ! [v0: $i] : ! % 258.27/40.82 [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : (v1 = v0 | ~ % 258.27/40.82 (c_Groups_Ominus__class_Ominus(v4, v3, v2) = v1) | ~ % 258.27/40.82 (c_Groups_Ominus__class_Ominus(v4, v3, v2) = v0)) & ! [v0: $i] : ! [v1: % 258.27/40.82 $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : (v1 = v0 | ~ % 258.27/40.82 (c_Groups_Oplus__class_Oplus(v4, v3, v2) = v1) | ~ % 258.27/40.82 (c_Groups_Oplus__class_Oplus(v4, v3, v2) = v0)) & ! [v0: MultipleValueBool] % 258.27/40.82 : ! [v1: MultipleValueBool] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : (v1 = % 258.27/40.82 v0 | ~ (c_Orderings_Oord__class_Oless__eq(v4, v3, v2) = v1) | ~ % 258.27/40.82 (c_Orderings_Oord__class_Oless__eq(v4, v3, v2) = v0)) & ! [v0: $i] : ! % 258.27/40.82 [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 258.27/40.82 (c_Rings_Oinverse__class_Oinverse(v3, v2) = v1) | ~ % 258.27/40.83 (c_Rings_Oinverse__class_Oinverse(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] % 258.27/40.83 : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 258.27/40.83 (c_Int_Onumber__class_Onumber__of(v3, v2) = v1) | ~ % 258.27/40.83 (c_Int_Onumber__class_Onumber__of(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] % 258.27/40.83 : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ (c_Groups_Osgn__class_Osgn(v3, v2) % 258.27/40.83 = v1) | ~ (c_Groups_Osgn__class_Osgn(v3, v2) = v0)) & ! [v0: % 258.27/40.83 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : ! [v3: $i] % 258.27/40.83 : (v1 = v0 | ~ (c_SEQ_Odecseq(v3, v2) = v1) | ~ (c_SEQ_Odecseq(v3, v2) = % 258.27/40.83 v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | % 258.27/40.83 ~ (c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(v3, v2) = v1) | ~ % 258.27/40.83 (c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(v3, v2) = v0)) & ! [v0: % 258.27/40.83 $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 258.27/40.83 (c_RealDef_Oreal(v3, v2) = v1) | ~ (c_RealDef_Oreal(v3, v2) = v0)) & ! % 258.27/40.83 [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ (tc_fun(v3, % 258.27/40.83 v2) = v1) | ~ (tc_fun(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! % 258.27/40.83 [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ (c_Groups_Ouminus__class_Ouminus(v3, % 258.27/40.83 v2) = v1) | ~ (c_Groups_Ouminus__class_Ouminus(v3, v2) = v0)) & ! [v0: % 258.27/40.83 $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 258.27/40.83 (c_Polynomial_Opoly(v3, v2) = v1) | ~ (c_Polynomial_Opoly(v3, v2) = v0)) & % 258.27/40.83 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 258.27/40.83 (c_Groups_Oabs__class_Oabs(v3, v2) = v1) | ~ (c_Groups_Oabs__class_Oabs(v3, % 258.27/40.83 v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 % 258.27/40.83 = v0 | ~ (c_RealVector_Onorm__class_Onorm(v3, v2) = v1) | ~ % 258.27/40.83 (c_RealVector_Onorm__class_Onorm(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] % 258.27/40.83 : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP(v3, v2) = v1) | ~ (hAPP(v3, % 258.27/40.83 v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : % 258.27/40.83 ! [v2: $i] : (v1 = v0 | ~ (class_Groups_Ocancel__comm__monoid__add(v2) = v1) % 258.27/40.83 | ~ (class_Groups_Ocancel__comm__monoid__add(v2) = v0)) & ! [v0: % 258.27/40.83 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 | % 258.27/40.83 ~ (class_Rings_Olinordered__semiring__strict(v2) = v1) | ~ % 258.27/40.83 (class_Rings_Olinordered__semiring__strict(v2) = v0)) & ! [v0: % 258.27/40.83 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 | % 258.27/40.83 ~ (class_Rings_Olinordered__comm__semiring__strict(v2) = v1) | ~ % 258.27/40.83 (class_Rings_Olinordered__comm__semiring__strict(v2) = v0)) & ! [v0: % 258.27/40.83 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 | % 258.27/40.83 ~ (class_Rings_Oordered__comm__semiring(v2) = v1) | ~ % 258.27/40.83 (class_Rings_Oordered__comm__semiring(v2) = v0)) & ! [v0: % 258.27/40.83 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 | % 258.27/40.83 ~ (class_Rings_Oordered__semiring(v2) = v1) | ~ % 258.27/40.83 (class_Rings_Oordered__semiring(v2) = v0)) & ! [v0: MultipleValueBool] : ! % 258.27/40.83 [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~ % 258.27/40.83 (class_Rings_Oordered__ring(v2) = v1) | ~ (class_Rings_Oordered__ring(v2) = % 258.27/40.83 v0)) & ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: % 258.27/40.83 $i] : (v1 = v0 | ~ (class_Rings_Oordered__cancel__semiring(v2) = v1) | ~ % 258.27/40.83 (class_Rings_Oordered__cancel__semiring(v2) = v0)) & ! [v0: % 258.27/40.83 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 | % 258.27/40.83 ~ (class_Rings_Olinordered__ring__strict(v2) = v1) | ~ % 258.27/40.83 (class_Rings_Olinordered__ring__strict(v2) = v0)) & ! [v0: % 258.27/40.83 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 | % 258.27/40.83 ~ (class_Rings_Olinordered__ring(v2) = v1) | ~ % 258.27/40.83 (class_Rings_Olinordered__ring(v2) = v0)) & ! [v0: MultipleValueBool] : ! % 258.27/40.83 [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~ % 258.27/40.83 (class_Groups_Ocomm__monoid__mult(v2) = v1) | ~ % 258.27/40.83 (class_Groups_Ocomm__monoid__mult(v2) = v0)) & ! [v0: MultipleValueBool] : % 258.27/40.83 ! [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~ % 258.27/40.83 (class_Groups_Omonoid__mult(v2) = v1) | ~ (class_Groups_Omonoid__mult(v2) = % 258.27/40.83 v0)) & ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: % 258.27/40.83 $i] : (v1 = v0 | ~ (class_Rings_Ono__zero__divisors(v2) = v1) | ~ % 258.27/40.83 (class_Rings_Ono__zero__divisors(v2) = v0)) & ! [v0: MultipleValueBool] : % 258.27/40.83 ! [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~ % 258.27/40.83 (class_Rings_Oring__no__zero__divisors(v2) = v1) | ~ % 258.27/40.83 (class_Rings_Oring__no__zero__divisors(v2) = v0)) & ! [v0: % 258.27/40.83 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 | % 258.27/40.83 ~ (class_Rings_Omult__zero(v2) = v1) | ~ (class_Rings_Omult__zero(v2) = % 258.27/40.83 v0)) & ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: % 258.27/40.83 $i] : (v1 = v0 | ~ (class_Rings_Ocomm__semiring(v2) = v1) | ~ % 258.27/40.83 (class_Rings_Ocomm__semiring(v2) = v0)) & ! [v0: MultipleValueBool] : ! % 258.27/40.83 [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~ % 258.27/40.83 (class_Rings_Osemiring(v2) = v1) | ~ (class_Rings_Osemiring(v2) = v0)) & ! % 258.27/40.83 [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 % 258.27/40.83 | ~ (class_Rings_Oring(v2) = v1) | ~ (class_Rings_Oring(v2) = v0)) & ! % 258.27/40.83 [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 % 258.27/40.83 | ~ (class_RealVector_Oreal__normed__algebra(v2) = v1) | ~ % 258.27/40.83 (class_RealVector_Oreal__normed__algebra(v2) = v0)) & ! [v0: % 258.27/40.83 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 | % 258.27/40.83 ~ (class_RealVector_Oreal__normed__div__algebra(v2) = v1) | ~ % 258.27/40.83 (class_RealVector_Oreal__normed__div__algebra(v2) = v0)) & ! [v0: % 258.27/40.83 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 | % 258.27/40.83 ~ (class_Groups_Osgn__if(v2) = v1) | ~ (class_Groups_Osgn__if(v2) = v0)) & % 258.27/40.83 ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : (v1 = % 258.27/40.83 v0 | ~ (class_Int_Onumber(v2) = v1) | ~ (class_Int_Onumber(v2) = v0)) & ! % 258.27/40.83 [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 % 258.27/40.83 | ~ (class_Int_Onumber__ring(v2) = v1) | ~ (class_Int_Onumber__ring(v2) = % 258.27/40.83 v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ % 258.27/40.83 (c_Int_OBit1(v2) = v1) | ~ (c_Int_OBit1(v2) = v0)) & ! [v0: $i] : ! [v1: % 258.27/40.83 $i] : ! [v2: $i] : (v1 = v0 | ~ (c_Int_OBit0(v2) = v1) | ~ % 258.27/40.83 (c_Int_OBit0(v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1: % 258.27/40.83 MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~ (class_Groups_Ouminus(v2) = % 258.27/40.83 v1) | ~ (class_Groups_Ouminus(v2) = v0)) & ! [v0: MultipleValueBool] : % 258.27/40.83 ! [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~ % 258.27/40.83 (class_Groups_Ominus(v2) = v1) | ~ (class_Groups_Ominus(v2) = v0)) & ! % 258.27/40.83 [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 % 258.27/40.83 | ~ (class_Fields_Ofield(v2) = v1) | ~ (class_Fields_Ofield(v2) = v0)) & % 258.27/40.83 ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : (v1 = % 258.27/40.83 v0 | ~ (class_Lattices_Oboolean__algebra(v2) = v1) | ~ % 258.27/40.83 (class_Lattices_Oboolean__algebra(v2) = v0)) & ! [v0: MultipleValueBool] : % 258.27/40.83 ! [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~ % 258.27/40.83 (class_Divides_Osemiring__div(v2) = v1) | ~ % 258.27/40.83 (class_Divides_Osemiring__div(v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! % 258.27/40.83 [v2: $i] : (v1 = v0 | ~ (c_RComplete_Onatfloor(v2) = v1) | ~ % 258.27/40.83 (c_RComplete_Onatfloor(v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] % 258.27/40.83 : (v1 = v0 | ~ (c_RComplete_Onatceiling(v2) = v1) | ~ % 258.27/40.83 (c_RComplete_Onatceiling(v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1: % 258.27/40.83 MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~ % 258.27/40.83 (class_Fields_Olinordered__field(v2) = v1) | ~ % 258.27/40.83 (class_Fields_Olinordered__field(v2) = v0)) & ! [v0: MultipleValueBool] : % 258.27/40.83 ! [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~ % 258.27/40.83 (class_Fields_Olinordered__field__inverse__zero(v2) = v1) | ~ % 258.27/40.83 (class_Fields_Olinordered__field__inverse__zero(v2) = v0)) & ! [v0: % 258.27/40.83 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 | % 258.27/40.83 ~ % 258.27/40.83 (class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(v2) % 258.27/40.83 = v1) | ~ % 258.27/40.83 (class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(v2) % 258.27/40.83 = v0)) & ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: % 258.27/40.83 $i] : (v1 = v0 | ~ (class_Rings_Odivision__ring(v2) = v1) | ~ % 258.27/40.83 (class_Rings_Odivision__ring(v2) = v0)) & ! [v0: MultipleValueBool] : ! % 258.27/40.83 [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~ % 258.27/40.83 (class_Rings_Odivision__ring__inverse__zero(v2) = v1) | ~ % 258.27/40.83 (class_Rings_Odivision__ring__inverse__zero(v2) = v0)) & ! [v0: % 258.27/40.83 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 | % 258.27/40.83 ~ (class_Fields_Ofield__inverse__zero(v2) = v1) | ~ % 258.27/40.83 (class_Fields_Ofield__inverse__zero(v2) = v0)) & ! [v0: MultipleValueBool] % 258.27/40.83 : ! [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~ % 258.27/40.83 (class_RealVector_Oreal__normed__field(v2) = v1) | ~ % 258.27/40.83 (class_RealVector_Oreal__normed__field(v2) = v0)) & ! [v0: $i] : ! [v1: % 258.27/40.83 $i] : ! [v2: $i] : (v1 = v0 | ~ (c_Nat_OSuc(v2) = v1) | ~ (c_Nat_OSuc(v2) % 258.27/40.83 = v0)) & ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: % 258.27/40.83 $i] : (v1 = v0 | ~ (class_Rings_Ocomm__ring__1(v2) = v1) | ~ % 258.27/40.83 (class_Rings_Ocomm__ring__1(v2) = v0)) & ! [v0: MultipleValueBool] : ! % 258.27/40.83 [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~ % 258.27/40.83 (class_Rings_Olinordered__semidom(v2) = v1) | ~ % 258.27/40.83 (class_Rings_Olinordered__semidom(v2) = v0)) & ! [v0: MultipleValueBool] : % 258.27/40.83 ! [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~ (hBOOL(v2) = v1) | ~ % 258.27/40.83 (hBOOL(v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] % 258.27/40.83 : ! [v2: $i] : (v1 = v0 | ~ (class_Rings_Ozero__neq__one(v2) = v1) | ~ % 258.27/40.83 (class_Rings_Ozero__neq__one(v2) = v0)) & ! [v0: MultipleValueBool] : ! % 258.27/40.83 [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~ % 258.27/40.83 (class_Rings_Ocomm__semiring__1(v2) = v1) | ~ % 258.27/40.83 (class_Rings_Ocomm__semiring__1(v2) = v0)) & ! [v0: MultipleValueBool] : ! % 258.27/40.83 [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~ % 258.27/40.83 (class_RealVector_Oreal__normed__algebra__1(v2) = v1) | ~ % 258.27/40.83 (class_RealVector_Oreal__normed__algebra__1(v2) = v0)) & ! [v0: % 258.27/40.83 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 | % 258.27/40.83 ~ (class_Groups_Oone(v2) = v1) | ~ (class_Groups_Oone(v2) = v0)) & ! [v0: % 258.27/40.83 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 | % 258.27/40.83 ~ (class_Rings_Olinordered__idom(v2) = v1) | ~ % 258.27/40.83 (class_Rings_Olinordered__idom(v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! % 258.27/40.83 [v2: $i] : (v1 = v0 | ~ (c_Groups_Oone__class_Oone(v2) = v1) | ~ % 258.27/40.83 (c_Groups_Oone__class_Oone(v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1: % 258.27/40.83 MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~ % 258.27/40.83 (class_Int_Oring__char__0(v2) = v1) | ~ (class_Int_Oring__char__0(v2) = % 258.27/40.83 v0)) & ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: % 258.27/40.83 $i] : (v1 = v0 | ~ (class_Rings_Oidom(v2) = v1) | ~ (class_Rings_Oidom(v2) % 258.27/40.83 = v0)) & ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: % 258.27/40.83 $i] : (v1 = v0 | ~ (class_Groups_Ocomm__monoid__add(v2) = v1) | ~ % 258.27/40.83 (class_Groups_Ocomm__monoid__add(v2) = v0)) & ! [v0: MultipleValueBool] : % 258.27/40.83 ! [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~ % 258.27/40.83 (class_Groups_Omonoid__add(v2) = v1) | ~ (class_Groups_Omonoid__add(v2) = % 258.27/40.83 v0)) & ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: % 258.27/40.83 $i] : (v1 = v0 | ~ (class_Groups_Oordered__cancel__ab__semigroup__add(v2) = % 258.27/40.83 v1) | ~ (class_Groups_Oordered__cancel__ab__semigroup__add(v2) = v0)) & % 258.27/40.83 ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : (v1 = % 258.27/40.83 v0 | ~ (class_Groups_Oordered__comm__monoid__add(v2) = v1) | ~ % 258.27/40.83 (class_Groups_Oordered__comm__monoid__add(v2) = v0)) & ! [v0: % 258.27/40.83 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 | % 258.27/40.83 ~ (class_Orderings_Oord(v2) = v1) | ~ (class_Orderings_Oord(v2) = v0)) & ! % 258.27/40.83 [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 % 258.27/40.83 | ~ (class_Orderings_Oorder(v2) = v1) | ~ (class_Orderings_Oorder(v2) = % 258.27/40.83 v0)) & ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: % 258.27/40.83 $i] : (v1 = v0 | ~ (class_Orderings_Olinorder(v2) = v1) | ~ % 258.27/40.83 (class_Orderings_Olinorder(v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1: % 258.27/40.83 MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~ % 258.27/40.83 (class_Groups_Olinordered__ab__group__add(v2) = v1) | ~ % 258.27/40.83 (class_Groups_Olinordered__ab__group__add(v2) = v0)) & ! [v0: % 258.27/40.83 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 | % 258.27/40.83 ~ (class_Groups_Ozero(v2) = v1) | ~ (class_Groups_Ozero(v2) = v0)) & ! % 258.27/40.83 [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 % 258.27/40.83 | ~ (class_Groups_Oabs__if(v2) = v1) | ~ (class_Groups_Oabs__if(v2) = v0)) % 258.27/40.83 & ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : (v1 % 258.27/40.83 = v0 | ~ (class_Rings_Ocomm__semiring__0(v2) = v1) | ~ % 258.27/40.83 (class_Rings_Ocomm__semiring__0(v2) = v0)) & ! [v0: MultipleValueBool] : ! % 258.27/40.83 [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~ % 258.27/40.83 (class_Rings_Ocomm__ring(v2) = v1) | ~ (class_Rings_Ocomm__ring(v2) = v0)) % 258.27/40.83 & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ % 258.27/40.83 (tc_Polynomial_Opoly(v2) = v1) | ~ (tc_Polynomial_Opoly(v2) = v0)) & ! % 258.27/40.83 [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 % 258.27/40.83 | ~ (class_Orderings_Opreorder(v2) = v1) | ~ % 258.27/40.83 (class_Orderings_Opreorder(v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1: % 258.27/40.83 MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~ % 258.27/40.83 (class_Groups_Ogroup__add(v2) = v1) | ~ (class_Groups_Ogroup__add(v2) = % 258.27/40.83 v0)) & ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: % 258.27/40.83 $i] : (v1 = v0 | ~ (class_Groups_Oordered__ab__group__add(v2) = v1) | ~ % 258.27/40.83 (class_Groups_Oordered__ab__group__add(v2) = v0)) & ! [v0: % 258.27/40.83 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 | % 258.27/40.83 ~ (class_Groups_Oordered__ab__semigroup__add(v2) = v1) | ~ % 258.27/40.83 (class_Groups_Oordered__ab__semigroup__add(v2) = v0)) & ! [v0: % 258.27/40.83 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 | % 258.27/40.83 ~ (class_Groups_Oordered__ab__semigroup__add__imp__le(v2) = v1) | ~ % 258.27/40.83 (class_Groups_Oordered__ab__semigroup__add__imp__le(v2) = v0)) & ! [v0: % 258.27/40.83 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 | % 258.27/40.83 ~ (class_Groups_Oab__group__add(v2) = v1) | ~ % 258.27/40.83 (class_Groups_Oab__group__add(v2) = v0)) & ! [v0: MultipleValueBool] : ! % 258.27/40.83 [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~ % 258.27/40.83 (class_Groups_Oab__semigroup__add(v2) = v1) | ~ % 258.27/40.83 (class_Groups_Oab__semigroup__add(v2) = v0)) & ! [v0: MultipleValueBool] : % 258.27/40.83 ! [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~ % 258.27/40.83 (class_Groups_Ocancel__ab__semigroup__add(v2) = v1) | ~ % 258.27/40.83 (class_Groups_Ocancel__ab__semigroup__add(v2) = v0)) & ! [v0: % 258.27/40.83 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 | % 258.27/40.83 ~ (class_Groups_Ocancel__semigroup__add(v2) = v1) | ~ % 258.27/40.83 (class_Groups_Ocancel__semigroup__add(v2) = v0)) & ! [v0: $i] : ! [v1: $i] % 258.27/40.83 : ! [v2: $i] : (v1 = v0 | ~ (c_Groups_Ozero__class_Ozero(v2) = v1) | ~ % 258.27/40.83 (c_Groups_Ozero__class_Ozero(v2) = v0)) & ! [v0: MultipleValueBool] : ! % 258.27/40.83 [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~ % 258.27/40.83 (class_Groups_Oordered__ab__group__add__abs(v2) = v1) | ~ % 258.27/40.83 (class_Groups_Oordered__ab__group__add__abs(v2) = v0)) & ! [v0: % 258.27/40.83 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 | % 258.27/40.83 ~ (class_RealVector_Oreal__normed__vector(v2) = v1) | ~ % 258.27/40.83 (class_RealVector_Oreal__normed__vector(v2) = v0)) & ! [v0: $i] : ! [v1: % 258.27/40.83 $i] : ! [v2: $i] : (v1 = v0 | ~ (v_g____(v2) = v1) | ~ (v_g____(v2) = % 258.27/40.83 v0)) & ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: % 258.27/40.83 $i] : (v1 = v0 | ~ (c_SEQ_Osubseq(v2) = v1) | ~ (c_SEQ_Osubseq(v2) = v0)) % 258.27/40.83 & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: MultipleValueBool] : % 258.27/40.83 (c_Orderings_Oord__class_Oless(v2, v1, v0) = v3) & ? [v0: $i] : ? [v1: $i] : % 258.27/40.83 ? [v2: $i] : ? [v3: MultipleValueBool] : % 258.27/40.83 (c_Orderings_Oord__class_Oless__eq(v2, v1, v0) = v3) & ? [v0: $i] : ? [v1: % 258.27/40.83 $i] : ? [v2: $i] : ? [v3: $i] : (c_Groups_Otimes__class_Otimes(v2, v1, v0) % 258.27/40.83 = v3 & $i(v3)) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : % 258.27/40.83 (c_Divides_Odiv__class_Odiv(v2, v1, v0) = v3 & $i(v3)) & ? [v0: $i] : ? [v1: % 258.27/40.83 $i] : ? [v2: $i] : ? [v3: $i] : (c_Polynomial_Oorder(v2, v1, v0) = v3 & % 258.27/40.83 $i(v3)) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : % 258.27/40.83 (c_Rings_Oinverse__class_Odivide(v2, v1, v0) = v3 & $i(v3)) & ? [v0: $i] : ? % 258.27/40.83 [v1: $i] : ? [v2: $i] : ? [v3: $i] : (c_Groups_Ominus__class_Ominus(v2, v1, % 258.27/40.83 v0) = v3 & $i(v3)) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] % 258.27/40.83 : (c_Groups_Oplus__class_Oplus(v2, v1, v0) = v3 & $i(v3)) & ? [v0: $i] : ? % 258.27/40.83 [v1: $i] : ? [v2: MultipleValueBool] : (c_SEQ_Odecseq(v1, v0) = v2) & ? [v0: % 258.27/40.83 $i] : ? [v1: $i] : ? [v2: $i] : (c_Rings_Oinverse__class_Oinverse(v1, v0) % 258.27/40.83 = v2 & $i(v2)) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : % 258.27/40.83 (c_Int_Onumber__class_Onumber__of(v1, v0) = v2 & $i(v2)) & ? [v0: $i] : ? % 258.27/40.83 [v1: $i] : ? [v2: $i] : (c_Groups_Osgn__class_Osgn(v1, v0) = v2 & $i(v2)) & % 258.27/40.83 ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : % 258.27/40.83 (c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(v1, v0) = v2 & $i(v2)) & ? % 258.27/40.83 [v0: $i] : ? [v1: $i] : ? [v2: $i] : (c_RealDef_Oreal(v1, v0) = v2 & $i(v2)) % 258.27/40.83 & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (tc_fun(v1, v0) = v2 & $i(v2)) & % 258.27/40.83 ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (c_Groups_Ouminus__class_Ouminus(v1, % 258.27/40.83 v0) = v2 & $i(v2)) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : % 258.27/40.83 (c_Polynomial_Opoly(v1, v0) = v2 & $i(v2)) & ? [v0: $i] : ? [v1: $i] : ? % 258.27/40.83 [v2: $i] : (c_Groups_Oabs__class_Oabs(v1, v0) = v2 & $i(v2)) & ? [v0: $i] : % 258.27/40.83 ? [v1: $i] : ? [v2: $i] : (c_RealVector_Onorm__class_Onorm(v1, v0) = v2 & % 258.27/40.83 $i(v2)) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (hAPP(v1, v0) = v2 & % 258.27/40.83 $i(v2)) & ? [v0: $i] : ? [v1: MultipleValueBool] : % 258.27/40.83 (class_Groups_Ocancel__comm__monoid__add(v0) = v1) & ? [v0: $i] : ? [v1: % 258.27/40.83 MultipleValueBool] : (class_Rings_Olinordered__semiring__strict(v0) = v1) & % 258.27/40.83 ? [v0: $i] : ? [v1: MultipleValueBool] : % 258.27/40.83 (class_Rings_Olinordered__comm__semiring__strict(v0) = v1) & ? [v0: $i] : ? % 258.27/40.83 [v1: MultipleValueBool] : (class_Rings_Oordered__comm__semiring(v0) = v1) & ? % 258.27/40.83 [v0: $i] : ? [v1: MultipleValueBool] : (class_Rings_Oordered__semiring(v0) = % 258.27/40.83 v1) & ? [v0: $i] : ? [v1: MultipleValueBool] : % 258.27/40.83 (class_Rings_Oordered__ring(v0) = v1) & ? [v0: $i] : ? [v1: % 258.27/40.83 MultipleValueBool] : (class_Rings_Oordered__cancel__semiring(v0) = v1) & ? % 258.27/40.83 [v0: $i] : ? [v1: MultipleValueBool] : % 258.27/40.83 (class_Rings_Olinordered__ring__strict(v0) = v1) & ? [v0: $i] : ? [v1: % 258.27/40.83 MultipleValueBool] : (class_Rings_Olinordered__ring(v0) = v1) & ? [v0: $i] % 258.27/40.83 : ? [v1: MultipleValueBool] : (class_Groups_Ocomm__monoid__mult(v0) = v1) & % 258.27/40.83 ? [v0: $i] : ? [v1: MultipleValueBool] : (class_Groups_Omonoid__mult(v0) = % 258.27/40.83 v1) & ? [v0: $i] : ? [v1: MultipleValueBool] : % 258.27/40.83 (class_Rings_Ono__zero__divisors(v0) = v1) & ? [v0: $i] : ? [v1: % 258.27/40.83 MultipleValueBool] : (class_Rings_Oring__no__zero__divisors(v0) = v1) & ? % 258.27/40.83 [v0: $i] : ? [v1: MultipleValueBool] : (class_Rings_Omult__zero(v0) = v1) & % 258.27/40.83 ? [v0: $i] : ? [v1: MultipleValueBool] : (class_Rings_Ocomm__semiring(v0) = % 258.27/40.83 v1) & ? [v0: $i] : ? [v1: MultipleValueBool] : (class_Rings_Osemiring(v0) % 258.27/40.83 = v1) & ? [v0: $i] : ? [v1: MultipleValueBool] : (class_Rings_Oring(v0) = % 258.27/40.83 v1) & ? [v0: $i] : ? [v1: MultipleValueBool] : % 258.27/40.83 (class_RealVector_Oreal__normed__algebra(v0) = v1) & ? [v0: $i] : ? [v1: % 258.27/40.83 MultipleValueBool] : (class_RealVector_Oreal__normed__div__algebra(v0) = v1) % 258.27/40.83 & ? [v0: $i] : ? [v1: MultipleValueBool] : (class_Groups_Osgn__if(v0) = v1) % 258.27/40.83 & ? [v0: $i] : ? [v1: MultipleValueBool] : (class_Int_Onumber(v0) = v1) & ? % 258.27/40.83 [v0: $i] : ? [v1: MultipleValueBool] : (class_Int_Onumber__ring(v0) = v1) & % 258.27/40.83 ? [v0: $i] : ? [v1: MultipleValueBool] : (class_Groups_Ouminus(v0) = v1) & ? % 258.27/40.83 [v0: $i] : ? [v1: MultipleValueBool] : (class_Groups_Ominus(v0) = v1) & ? % 258.27/40.83 [v0: $i] : ? [v1: MultipleValueBool] : (class_Fields_Ofield(v0) = v1) & ? % 258.27/40.83 [v0: $i] : ? [v1: MultipleValueBool] : (class_Lattices_Oboolean__algebra(v0) % 258.27/40.83 = v1) & ? [v0: $i] : ? [v1: MultipleValueBool] : % 258.27/40.83 (class_Divides_Osemiring__div(v0) = v1) & ? [v0: $i] : ? [v1: % 258.27/40.83 MultipleValueBool] : (class_Fields_Olinordered__field(v0) = v1) & ? [v0: % 258.27/40.83 $i] : ? [v1: MultipleValueBool] : % 258.27/40.83 (class_Fields_Olinordered__field__inverse__zero(v0) = v1) & ? [v0: $i] : ? % 258.27/40.83 [v1: MultipleValueBool] : % 258.27/40.83 (class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(v0) = % 258.27/40.83 v1) & ? [v0: $i] : ? [v1: MultipleValueBool] : % 258.27/40.83 (class_Rings_Odivision__ring(v0) = v1) & ? [v0: $i] : ? [v1: % 258.27/40.83 MultipleValueBool] : (class_Rings_Odivision__ring__inverse__zero(v0) = v1) & % 258.27/40.83 ? [v0: $i] : ? [v1: MultipleValueBool] : % 258.27/40.83 (class_Fields_Ofield__inverse__zero(v0) = v1) & ? [v0: $i] : ? [v1: % 258.27/40.83 MultipleValueBool] : (class_RealVector_Oreal__normed__field(v0) = v1) & ? % 258.27/40.83 [v0: $i] : ? [v1: MultipleValueBool] : (class_Rings_Ocomm__ring__1(v0) = v1) % 258.27/40.83 & ? [v0: $i] : ? [v1: MultipleValueBool] : % 258.27/40.83 (class_Rings_Olinordered__semidom(v0) = v1) & ? [v0: $i] : ? [v1: % 258.27/40.83 MultipleValueBool] : (hBOOL(v0) = v1) & ? [v0: $i] : ? [v1: % 258.27/40.83 MultipleValueBool] : (class_Rings_Ozero__neq__one(v0) = v1) & ? [v0: $i] : % 258.27/40.83 ? [v1: MultipleValueBool] : (class_Rings_Ocomm__semiring__1(v0) = v1) & ? % 258.27/40.83 [v0: $i] : ? [v1: MultipleValueBool] : % 258.27/40.83 (class_RealVector_Oreal__normed__algebra__1(v0) = v1) & ? [v0: $i] : ? [v1: % 258.27/40.83 MultipleValueBool] : (class_Groups_Oone(v0) = v1) & ? [v0: $i] : ? [v1: % 258.27/40.83 MultipleValueBool] : (class_Rings_Olinordered__idom(v0) = v1) & ? [v0: $i] % 258.27/40.83 : ? [v1: MultipleValueBool] : (class_Int_Oring__char__0(v0) = v1) & ? [v0: % 258.27/40.83 $i] : ? [v1: MultipleValueBool] : (class_Rings_Oidom(v0) = v1) & ? [v0: % 258.27/40.83 $i] : ? [v1: MultipleValueBool] : (class_Groups_Ocomm__monoid__add(v0) = % 258.27/40.83 v1) & ? [v0: $i] : ? [v1: MultipleValueBool] : % 258.27/40.83 (class_Groups_Omonoid__add(v0) = v1) & ? [v0: $i] : ? [v1: % 258.27/40.83 MultipleValueBool] : (class_Groups_Oordered__cancel__ab__semigroup__add(v0) % 258.27/40.83 = v1) & ? [v0: $i] : ? [v1: MultipleValueBool] : % 258.27/40.83 (class_Groups_Oordered__comm__monoid__add(v0) = v1) & ? [v0: $i] : ? [v1: % 258.27/40.83 MultipleValueBool] : (class_Orderings_Oord(v0) = v1) & ? [v0: $i] : ? [v1: % 258.27/40.83 MultipleValueBool] : (class_Orderings_Oorder(v0) = v1) & ? [v0: $i] : ? % 258.27/40.83 [v1: MultipleValueBool] : (class_Orderings_Olinorder(v0) = v1) & ? [v0: $i] : % 258.27/40.83 ? [v1: MultipleValueBool] : (class_Groups_Olinordered__ab__group__add(v0) = % 258.27/40.83 v1) & ? [v0: $i] : ? [v1: MultipleValueBool] : (class_Groups_Ozero(v0) = % 258.27/40.83 v1) & ? [v0: $i] : ? [v1: MultipleValueBool] : (class_Groups_Oabs__if(v0) % 258.27/40.83 = v1) & ? [v0: $i] : ? [v1: MultipleValueBool] : % 258.27/40.83 (class_Rings_Ocomm__semiring__0(v0) = v1) & ? [v0: $i] : ? [v1: % 258.27/40.83 MultipleValueBool] : (class_Rings_Ocomm__ring(v0) = v1) & ? [v0: $i] : ? % 258.27/40.83 [v1: MultipleValueBool] : (class_Orderings_Opreorder(v0) = v1) & ? [v0: $i] : % 258.27/40.83 ? [v1: MultipleValueBool] : (class_Groups_Ogroup__add(v0) = v1) & ? [v0: $i] % 258.27/40.83 : ? [v1: MultipleValueBool] : (class_Groups_Oordered__ab__group__add(v0) = % 258.27/40.83 v1) & ? [v0: $i] : ? [v1: MultipleValueBool] : % 258.27/40.83 (class_Groups_Oordered__ab__semigroup__add(v0) = v1) & ? [v0: $i] : ? [v1: % 258.27/40.83 MultipleValueBool] : (class_Groups_Oordered__ab__semigroup__add__imp__le(v0) % 258.27/40.83 = v1) & ? [v0: $i] : ? [v1: MultipleValueBool] : % 258.27/40.83 (class_Groups_Oab__group__add(v0) = v1) & ? [v0: $i] : ? [v1: % 258.27/40.83 MultipleValueBool] : (class_Groups_Oab__semigroup__add(v0) = v1) & ? [v0: % 258.27/40.83 $i] : ? [v1: MultipleValueBool] : % 258.27/40.83 (class_Groups_Ocancel__ab__semigroup__add(v0) = v1) & ? [v0: $i] : ? [v1: % 258.27/40.83 MultipleValueBool] : (class_Groups_Ocancel__semigroup__add(v0) = v1) & ? % 258.27/40.83 [v0: $i] : ? [v1: MultipleValueBool] : % 258.27/40.83 (class_Groups_Oordered__ab__group__add__abs(v0) = v1) & ? [v0: $i] : ? [v1: % 258.27/40.83 MultipleValueBool] : (class_RealVector_Oreal__normed__vector(v0) = v1) & ? % 258.27/40.83 [v0: $i] : ? [v1: MultipleValueBool] : (c_SEQ_Osubseq(v0) = v1) & ? [v0: $i] % 258.27/40.83 : ? [v1: $i] : (c_Int_OBit1(v0) = v1 & $i(v1)) & ? [v0: $i] : ? [v1: $i] : % 258.27/40.83 (c_Int_OBit0(v0) = v1 & $i(v1)) & ? [v0: $i] : ? [v1: $i] : % 258.27/40.83 (c_RComplete_Onatfloor(v0) = v1 & $i(v1)) & ? [v0: $i] : ? [v1: $i] : % 258.27/40.83 (c_RComplete_Onatceiling(v0) = v1 & $i(v1)) & ? [v0: $i] : ? [v1: $i] : % 258.27/40.83 (c_Nat_OSuc(v0) = v1 & $i(v1)) & ? [v0: $i] : ? [v1: $i] : % 258.27/40.83 (c_Groups_Oone__class_Oone(v0) = v1 & $i(v1)) & ? [v0: $i] : ? [v1: $i] : % 258.27/40.83 (tc_Polynomial_Opoly(v0) = v1 & $i(v1)) & ? [v0: $i] : ? [v1: $i] : % 258.27/40.83 (c_Groups_Ozero__class_Ozero(v0) = v1 & $i(v1)) & ? [v0: $i] : ? [v1: $i] : % 258.27/40.83 (v_g____(v0) = v1 & $i(v1)) % 258.27/40.83 % 258.27/40.83 Further assumptions not needed in the proof: % 258.27/40.83 -------------------------------------------- % 258.27/40.84 arity_Complex__Ocomplex__Fields_Ofield, % 258.27/40.84 arity_Complex__Ocomplex__Fields_Ofield__inverse__zero, % 258.27/40.84 arity_Complex__Ocomplex__Groups_Oab__group__add, % 258.27/40.84 arity_Complex__Ocomplex__Groups_Oab__semigroup__add, % 258.27/40.84 arity_Complex__Ocomplex__Groups_Ocancel__ab__semigroup__add, % 258.27/40.84 arity_Complex__Ocomplex__Groups_Ocancel__comm__monoid__add, % 258.27/40.84 arity_Complex__Ocomplex__Groups_Ocancel__semigroup__add, % 258.27/40.84 arity_Complex__Ocomplex__Groups_Ocomm__monoid__add, % 258.27/40.84 arity_Complex__Ocomplex__Groups_Ocomm__monoid__mult, % 258.27/40.84 arity_Complex__Ocomplex__Groups_Ogroup__add, % 258.27/40.84 arity_Complex__Ocomplex__Groups_Ominus, % 258.27/40.84 arity_Complex__Ocomplex__Groups_Omonoid__add, % 258.27/40.84 arity_Complex__Ocomplex__Groups_Omonoid__mult, % 258.27/40.84 arity_Complex__Ocomplex__Groups_Oone, arity_Complex__Ocomplex__Groups_Ouminus, % 258.27/40.84 arity_Complex__Ocomplex__Groups_Ozero, arity_Complex__Ocomplex__Int_Onumber, % 258.27/40.84 arity_Complex__Ocomplex__Int_Onumber__ring, % 258.27/40.84 arity_Complex__Ocomplex__Int_Oring__char__0, % 258.27/40.84 arity_Complex__Ocomplex__RealVector_Oreal__normed__algebra, % 258.27/40.84 arity_Complex__Ocomplex__RealVector_Oreal__normed__algebra__1, % 258.27/40.84 arity_Complex__Ocomplex__RealVector_Oreal__normed__div__algebra, % 258.27/40.84 arity_Complex__Ocomplex__RealVector_Oreal__normed__field, % 258.27/40.84 arity_Complex__Ocomplex__Rings_Ocomm__ring, % 258.27/40.84 arity_Complex__Ocomplex__Rings_Ocomm__ring__1, % 258.27/40.84 arity_Complex__Ocomplex__Rings_Ocomm__semiring, % 258.27/40.84 arity_Complex__Ocomplex__Rings_Ocomm__semiring__0, % 258.27/40.84 arity_Complex__Ocomplex__Rings_Ocomm__semiring__1, % 258.27/40.84 arity_Complex__Ocomplex__Rings_Odivision__ring, % 258.27/40.84 arity_Complex__Ocomplex__Rings_Odivision__ring__inverse__zero, % 258.27/40.84 arity_Complex__Ocomplex__Rings_Oidom, % 258.27/40.84 arity_Complex__Ocomplex__Rings_Omult__zero, % 258.27/40.84 arity_Complex__Ocomplex__Rings_Ono__zero__divisors, % 258.27/40.84 arity_Complex__Ocomplex__Rings_Oring, % 258.27/40.84 arity_Complex__Ocomplex__Rings_Oring__no__zero__divisors, % 258.27/40.84 arity_Complex__Ocomplex__Rings_Osemiring, % 258.27/40.84 arity_Complex__Ocomplex__Rings_Ozero__neq__one, % 258.27/40.84 arity_Complex__Ocomplex__Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct, % 258.27/40.84 arity_HOL__Obool__Groups_Ominus, arity_HOL__Obool__Groups_Ouminus, % 258.27/40.84 arity_HOL__Obool__Lattices_Oboolean__algebra, arity_HOL__Obool__Orderings_Oord, % 258.27/40.84 arity_HOL__Obool__Orderings_Oorder, arity_HOL__Obool__Orderings_Opreorder, % 258.27/40.84 arity_Int__Oint__Divides_Osemiring__div, % 258.27/40.84 arity_Int__Oint__Groups_Oab__group__add, % 258.27/40.84 arity_Int__Oint__Groups_Oab__semigroup__add, arity_Int__Oint__Groups_Oabs__if, % 258.27/40.84 arity_Int__Oint__Groups_Ocancel__ab__semigroup__add, % 258.27/40.84 arity_Int__Oint__Groups_Ocancel__comm__monoid__add, % 258.27/40.84 arity_Int__Oint__Groups_Ocancel__semigroup__add, % 258.27/40.84 arity_Int__Oint__Groups_Ocomm__monoid__add, % 258.27/40.84 arity_Int__Oint__Groups_Ocomm__monoid__mult, % 258.27/40.84 arity_Int__Oint__Groups_Ogroup__add, % 258.27/40.84 arity_Int__Oint__Groups_Olinordered__ab__group__add, % 258.27/40.84 arity_Int__Oint__Groups_Ominus, arity_Int__Oint__Groups_Omonoid__add, % 258.27/40.84 arity_Int__Oint__Groups_Omonoid__mult, arity_Int__Oint__Groups_Oone, % 258.27/40.84 arity_Int__Oint__Groups_Oordered__ab__group__add, % 258.27/40.84 arity_Int__Oint__Groups_Oordered__ab__group__add__abs, % 258.27/40.84 arity_Int__Oint__Groups_Oordered__ab__semigroup__add, % 258.27/40.84 arity_Int__Oint__Groups_Oordered__ab__semigroup__add__imp__le, % 258.27/40.84 arity_Int__Oint__Groups_Oordered__cancel__ab__semigroup__add, % 258.27/40.84 arity_Int__Oint__Groups_Oordered__comm__monoid__add, % 258.27/40.84 arity_Int__Oint__Groups_Osgn__if, arity_Int__Oint__Groups_Ouminus, % 258.27/40.84 arity_Int__Oint__Groups_Ozero, arity_Int__Oint__Int_Onumber, % 258.27/40.84 arity_Int__Oint__Int_Onumber__ring, arity_Int__Oint__Int_Oring__char__0, % 258.27/40.84 arity_Int__Oint__Orderings_Olinorder, arity_Int__Oint__Orderings_Oord, % 258.27/40.84 arity_Int__Oint__Orderings_Oorder, arity_Int__Oint__Orderings_Opreorder, % 258.27/40.84 arity_Int__Oint__Rings_Ocomm__ring, arity_Int__Oint__Rings_Ocomm__ring__1, % 258.27/40.84 arity_Int__Oint__Rings_Ocomm__semiring, % 258.27/40.84 arity_Int__Oint__Rings_Ocomm__semiring__0, % 258.27/40.84 arity_Int__Oint__Rings_Ocomm__semiring__1, arity_Int__Oint__Rings_Oidom, % 258.27/40.84 arity_Int__Oint__Rings_Olinordered__comm__semiring__strict, % 258.27/40.84 arity_Int__Oint__Rings_Olinordered__idom, % 258.27/40.84 arity_Int__Oint__Rings_Olinordered__ring, % 258.27/40.84 arity_Int__Oint__Rings_Olinordered__ring__strict, % 258.27/40.84 arity_Int__Oint__Rings_Olinordered__semidom, % 258.27/40.84 arity_Int__Oint__Rings_Olinordered__semiring__strict, % 258.27/40.84 arity_Int__Oint__Rings_Omult__zero, arity_Int__Oint__Rings_Ono__zero__divisors, % 258.27/40.84 arity_Int__Oint__Rings_Oordered__cancel__semiring, % 258.27/40.84 arity_Int__Oint__Rings_Oordered__comm__semiring, % 258.27/40.84 arity_Int__Oint__Rings_Oordered__ring, % 258.27/40.84 arity_Int__Oint__Rings_Oordered__semiring, arity_Int__Oint__Rings_Oring, % 258.27/40.84 arity_Int__Oint__Rings_Oring__no__zero__divisors, % 258.27/40.84 arity_Int__Oint__Rings_Osemiring, arity_Int__Oint__Rings_Ozero__neq__one, % 258.27/40.84 arity_Int__Oint__Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct, % 258.27/40.84 arity_Nat__Onat__Divides_Osemiring__div, % 258.27/40.84 arity_Nat__Onat__Groups_Oab__semigroup__add, % 258.27/40.84 arity_Nat__Onat__Groups_Ocancel__ab__semigroup__add, % 258.27/40.84 arity_Nat__Onat__Groups_Ocancel__comm__monoid__add, % 258.27/40.84 arity_Nat__Onat__Groups_Ocancel__semigroup__add, % 258.27/40.84 arity_Nat__Onat__Groups_Ocomm__monoid__add, % 258.27/40.84 arity_Nat__Onat__Groups_Ocomm__monoid__mult, arity_Nat__Onat__Groups_Ominus, % 258.27/40.84 arity_Nat__Onat__Groups_Omonoid__add, arity_Nat__Onat__Groups_Omonoid__mult, % 258.27/40.84 arity_Nat__Onat__Groups_Oone, % 258.27/40.84 arity_Nat__Onat__Groups_Oordered__ab__semigroup__add, % 258.27/40.84 arity_Nat__Onat__Groups_Oordered__ab__semigroup__add__imp__le, % 258.27/40.84 arity_Nat__Onat__Groups_Oordered__cancel__ab__semigroup__add, % 258.27/40.84 arity_Nat__Onat__Groups_Oordered__comm__monoid__add, % 258.27/40.84 arity_Nat__Onat__Groups_Ozero, arity_Nat__Onat__Int_Onumber, % 258.27/40.84 arity_Nat__Onat__Orderings_Olinorder, arity_Nat__Onat__Orderings_Oord, % 258.27/40.84 arity_Nat__Onat__Orderings_Oorder, arity_Nat__Onat__Orderings_Opreorder, % 258.27/40.84 arity_Nat__Onat__Rings_Ocomm__semiring, % 258.27/40.84 arity_Nat__Onat__Rings_Ocomm__semiring__0, % 258.27/40.84 arity_Nat__Onat__Rings_Ocomm__semiring__1, % 258.27/40.84 arity_Nat__Onat__Rings_Olinordered__comm__semiring__strict, % 258.27/40.84 arity_Nat__Onat__Rings_Olinordered__semidom, % 258.27/40.84 arity_Nat__Onat__Rings_Olinordered__semiring__strict, % 258.27/40.84 arity_Nat__Onat__Rings_Omult__zero, arity_Nat__Onat__Rings_Ono__zero__divisors, % 258.27/40.84 arity_Nat__Onat__Rings_Oordered__cancel__semiring, % 258.27/40.84 arity_Nat__Onat__Rings_Oordered__comm__semiring, % 258.27/40.84 arity_Nat__Onat__Rings_Oordered__semiring, arity_Nat__Onat__Rings_Osemiring, % 258.27/40.84 arity_Nat__Onat__Rings_Ozero__neq__one, % 258.27/40.84 arity_Nat__Onat__Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct, % 258.27/40.84 arity_Polynomial__Opoly__Divides_Osemiring__div, % 258.27/40.84 arity_Polynomial__Opoly__Groups_Oab__group__add, % 258.27/40.84 arity_Polynomial__Opoly__Groups_Oab__semigroup__add, % 258.27/40.84 arity_Polynomial__Opoly__Groups_Oabs__if, % 258.27/40.84 arity_Polynomial__Opoly__Groups_Ocancel__ab__semigroup__add, % 258.27/40.84 arity_Polynomial__Opoly__Groups_Ocancel__comm__monoid__add, % 258.27/40.84 arity_Polynomial__Opoly__Groups_Ocancel__semigroup__add, % 258.27/40.84 arity_Polynomial__Opoly__Groups_Ocomm__monoid__add, % 258.27/40.84 arity_Polynomial__Opoly__Groups_Ocomm__monoid__mult, % 258.27/40.84 arity_Polynomial__Opoly__Groups_Ogroup__add, % 258.27/40.84 arity_Polynomial__Opoly__Groups_Olinordered__ab__group__add, % 258.27/40.84 arity_Polynomial__Opoly__Groups_Ominus, % 258.27/40.84 arity_Polynomial__Opoly__Groups_Omonoid__add, % 258.27/40.84 arity_Polynomial__Opoly__Groups_Omonoid__mult, % 258.27/40.84 arity_Polynomial__Opoly__Groups_Oone, % 258.27/40.84 arity_Polynomial__Opoly__Groups_Oordered__ab__group__add, % 258.27/40.84 arity_Polynomial__Opoly__Groups_Oordered__ab__group__add__abs, % 258.27/40.84 arity_Polynomial__Opoly__Groups_Oordered__ab__semigroup__add, % 258.27/40.84 arity_Polynomial__Opoly__Groups_Oordered__ab__semigroup__add__imp__le, % 258.27/40.84 arity_Polynomial__Opoly__Groups_Oordered__cancel__ab__semigroup__add, % 258.27/40.84 arity_Polynomial__Opoly__Groups_Oordered__comm__monoid__add, % 258.27/40.84 arity_Polynomial__Opoly__Groups_Osgn__if, % 258.27/40.84 arity_Polynomial__Opoly__Groups_Ouminus, arity_Polynomial__Opoly__Groups_Ozero, % 258.27/40.84 arity_Polynomial__Opoly__Int_Onumber, % 258.27/40.84 arity_Polynomial__Opoly__Int_Onumber__ring, % 258.27/40.84 arity_Polynomial__Opoly__Int_Oring__char__0, % 258.27/40.84 arity_Polynomial__Opoly__Orderings_Olinorder, % 258.27/40.84 arity_Polynomial__Opoly__Orderings_Oord, % 258.27/40.84 arity_Polynomial__Opoly__Orderings_Oorder, % 258.27/40.84 arity_Polynomial__Opoly__Orderings_Opreorder, % 258.27/40.84 arity_Polynomial__Opoly__Rings_Ocomm__ring, % 258.27/40.84 arity_Polynomial__Opoly__Rings_Ocomm__ring__1, % 258.27/40.84 arity_Polynomial__Opoly__Rings_Ocomm__semiring, % 258.27/40.84 arity_Polynomial__Opoly__Rings_Ocomm__semiring__0, % 258.27/40.84 arity_Polynomial__Opoly__Rings_Ocomm__semiring__1, % 258.27/40.84 arity_Polynomial__Opoly__Rings_Oidom, % 258.27/40.84 arity_Polynomial__Opoly__Rings_Olinordered__comm__semiring__strict, % 258.27/40.84 arity_Polynomial__Opoly__Rings_Olinordered__idom, % 258.27/40.84 arity_Polynomial__Opoly__Rings_Olinordered__ring, % 258.27/40.84 arity_Polynomial__Opoly__Rings_Olinordered__ring__strict, % 258.27/40.84 arity_Polynomial__Opoly__Rings_Olinordered__semidom, % 258.27/40.84 arity_Polynomial__Opoly__Rings_Olinordered__semiring__strict, % 258.27/40.84 arity_Polynomial__Opoly__Rings_Omult__zero, % 258.27/40.84 arity_Polynomial__Opoly__Rings_Ono__zero__divisors, % 258.27/40.84 arity_Polynomial__Opoly__Rings_Oordered__cancel__semiring, % 258.27/40.84 arity_Polynomial__Opoly__Rings_Oordered__comm__semiring, % 258.27/40.84 arity_Polynomial__Opoly__Rings_Oordered__ring, % 258.27/40.84 arity_Polynomial__Opoly__Rings_Oordered__semiring, % 258.27/40.84 arity_Polynomial__Opoly__Rings_Oring, % 258.27/40.84 arity_Polynomial__Opoly__Rings_Oring__no__zero__divisors, % 258.27/40.84 arity_Polynomial__Opoly__Rings_Osemiring, % 258.27/40.84 arity_Polynomial__Opoly__Rings_Ozero__neq__one, % 258.27/40.84 arity_Polynomial__Opoly__Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct, % 258.27/40.84 arity_RealDef__Oreal__Fields_Ofield, % 258.27/40.84 arity_RealDef__Oreal__Fields_Ofield__inverse__zero, % 258.27/40.84 arity_RealDef__Oreal__Fields_Olinordered__field, % 258.27/40.84 arity_RealDef__Oreal__Fields_Olinordered__field__inverse__zero, % 258.27/40.84 arity_RealDef__Oreal__Groups_Oab__group__add, % 258.27/40.84 arity_RealDef__Oreal__Groups_Oab__semigroup__add, % 258.27/40.84 arity_RealDef__Oreal__Groups_Oabs__if, % 258.27/40.84 arity_RealDef__Oreal__Groups_Ocancel__ab__semigroup__add, % 258.27/40.84 arity_RealDef__Oreal__Groups_Ocancel__comm__monoid__add, % 258.27/40.84 arity_RealDef__Oreal__Groups_Ocancel__semigroup__add, % 258.27/40.84 arity_RealDef__Oreal__Groups_Ocomm__monoid__add, % 258.27/40.84 arity_RealDef__Oreal__Groups_Ocomm__monoid__mult, % 258.27/40.84 arity_RealDef__Oreal__Groups_Ogroup__add, % 258.27/40.84 arity_RealDef__Oreal__Groups_Olinordered__ab__group__add, % 258.27/40.84 arity_RealDef__Oreal__Groups_Ominus, arity_RealDef__Oreal__Groups_Omonoid__add, % 258.27/40.84 arity_RealDef__Oreal__Groups_Omonoid__mult, arity_RealDef__Oreal__Groups_Oone, % 258.27/40.84 arity_RealDef__Oreal__Groups_Oordered__ab__group__add, % 258.27/40.84 arity_RealDef__Oreal__Groups_Oordered__ab__group__add__abs, % 258.27/40.84 arity_RealDef__Oreal__Groups_Oordered__ab__semigroup__add, % 258.27/40.84 arity_RealDef__Oreal__Groups_Oordered__ab__semigroup__add__imp__le, % 258.27/40.84 arity_RealDef__Oreal__Groups_Oordered__cancel__ab__semigroup__add, % 258.27/40.84 arity_RealDef__Oreal__Groups_Oordered__comm__monoid__add, % 258.27/40.84 arity_RealDef__Oreal__Groups_Osgn__if, arity_RealDef__Oreal__Groups_Ouminus, % 258.27/40.84 arity_RealDef__Oreal__Groups_Ozero, arity_RealDef__Oreal__Int_Onumber, % 258.27/40.84 arity_RealDef__Oreal__Int_Onumber__ring, % 258.27/40.84 arity_RealDef__Oreal__Int_Oring__char__0, % 258.27/40.84 arity_RealDef__Oreal__Orderings_Olinorder, arity_RealDef__Oreal__Orderings_Oord, % 258.27/40.84 arity_RealDef__Oreal__Orderings_Oorder, % 258.27/40.84 arity_RealDef__Oreal__Orderings_Opreorder, % 258.27/40.84 arity_RealDef__Oreal__RealVector_Oreal__normed__algebra, % 258.27/40.84 arity_RealDef__Oreal__RealVector_Oreal__normed__algebra__1, % 258.27/40.84 arity_RealDef__Oreal__RealVector_Oreal__normed__div__algebra, % 258.27/40.84 arity_RealDef__Oreal__RealVector_Oreal__normed__field, % 258.27/40.84 arity_RealDef__Oreal__RealVector_Oreal__normed__vector, % 258.27/40.84 arity_RealDef__Oreal__Rings_Ocomm__ring, % 258.27/40.84 arity_RealDef__Oreal__Rings_Ocomm__ring__1, % 258.27/40.84 arity_RealDef__Oreal__Rings_Ocomm__semiring, % 258.27/40.84 arity_RealDef__Oreal__Rings_Ocomm__semiring__0, % 258.27/40.84 arity_RealDef__Oreal__Rings_Ocomm__semiring__1, % 258.27/40.84 arity_RealDef__Oreal__Rings_Odivision__ring, % 258.27/40.84 arity_RealDef__Oreal__Rings_Odivision__ring__inverse__zero, % 258.27/40.84 arity_RealDef__Oreal__Rings_Oidom, % 258.27/40.84 arity_RealDef__Oreal__Rings_Olinordered__comm__semiring__strict, % 258.27/40.84 arity_RealDef__Oreal__Rings_Olinordered__idom, % 258.27/40.84 arity_RealDef__Oreal__Rings_Olinordered__ring, % 258.27/40.84 arity_RealDef__Oreal__Rings_Olinordered__ring__strict, % 258.27/40.84 arity_RealDef__Oreal__Rings_Olinordered__semidom, % 258.27/40.84 arity_RealDef__Oreal__Rings_Olinordered__semiring__strict, % 258.27/40.84 arity_RealDef__Oreal__Rings_Omult__zero, % 258.27/40.84 arity_RealDef__Oreal__Rings_Ono__zero__divisors, % 258.27/40.84 arity_RealDef__Oreal__Rings_Oordered__cancel__semiring, % 258.27/40.84 arity_RealDef__Oreal__Rings_Oordered__comm__semiring, % 258.27/40.84 arity_RealDef__Oreal__Rings_Oordered__ring, % 258.27/40.84 arity_RealDef__Oreal__Rings_Oordered__semiring, % 258.27/40.84 arity_RealDef__Oreal__Rings_Oring, % 258.27/40.84 arity_RealDef__Oreal__Rings_Oring__no__zero__divisors, % 258.27/40.84 arity_RealDef__Oreal__Rings_Osemiring, % 258.27/40.84 arity_RealDef__Oreal__Rings_Ozero__neq__one, % 258.27/40.84 arity_RealDef__Oreal__Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct, % 258.27/40.84 arity_fun__Groups_Ominus, arity_fun__Groups_Ouminus, % 258.27/40.84 arity_fun__Lattices_Oboolean__algebra, arity_fun__Orderings_Oord, % 258.27/40.84 arity_fun__Orderings_Oorder, arity_fun__Orderings_Opreorder, fact_Bit0__Pls, % 258.27/40.84 fact_Bit0__def, fact_Bit1__def, fact_Bseq__inverse__lemma, % 258.27/40.84 fact_DERIV__inverse__lemma, fact_Deriv_Oadd__diff__add, % 258.27/40.84 fact_Deriv_Oinverse__diff__inverse, % 258.27/40.84 fact_Divides_Otransfer__nat__int__function__closures_I1_J, fact_INVERSE__ZERO, % 258.27/40.84 fact_Limits_Ominus__diff__minus, fact_N1, fact_Nat_Oadd__0__right, % 258.27/40.84 fact_Nat_Odiff__diff__eq, fact_Numeral1__eq1__nat, fact_One__nat__def, % 258.27/40.84 fact_Pls__def, fact_Suc3__eq__add__3, fact_Suc__diff__1, fact_Suc__diff__diff, % 258.27/40.84 fact_Suc__diff__eq__diff__pred, fact_Suc__diff__le, % 258.27/40.84 fact_Suc__div__eq__add3__div, fact_Suc__div__eq__add3__div__number__of, % 258.27/40.84 fact_Suc__eq__plus1, fact_Suc__eq__plus1__left, fact_Suc__inject, fact_Suc__leD, % 258.27/40.84 fact_Suc__leI, fact_Suc__le__eq, fact_Suc__le__lessD, fact_Suc__le__mono, % 258.27/40.84 fact_Suc__lessD, fact_Suc__lessI, fact_Suc__less__SucD, fact_Suc__less__eq, % 258.27/40.84 fact_Suc__mono, fact_Suc__n__div__2__gt__zero, fact_Suc__n__not__le__n, % 258.27/40.84 fact_Suc__n__not__n, fact_Suc__neq__Zero, fact_Suc__not__Zero, fact_Suc__pred, % 258.27/40.84 fact_Suc__pred_H, fact_Zero__neq__Suc, fact_Zero__not__Suc, % 258.27/40.84 fact__096EX_AN_O_AALL_An_062_061N_O_Acmod_A_Ig_A_If_An_J_A_N_Az_J_A_060_Ad_096, % 258.27/40.84 fact__096_B_Bthesis_O_A_I_B_BN1_O_AALL_An_062_061N1_O_Acmod_A_Ig_A_If_An_J_A_N_Az_J_A_060_Ad_A_061_061_062_Athesis_J_A_061_061_062_Athesis_096, % 258.27/40.84 fact_ab__diff__minus, fact_ab__left__minus, % 258.27/40.84 fact_ab__semigroup__add__class_Oadd__ac_I1_J, fact_abs__add__abs, % 258.27/40.84 fact_abs__add__one__gt__zero, fact_abs__add__one__not__less__self, % 258.27/40.84 fact_abs__diff__less__iff, fact_abs__diff__triangle__ineq, fact_abs__div__pos, % 258.27/40.84 fact_abs__divide, fact_abs__eq__0, fact_abs__ge__minus__self, % 258.27/40.84 fact_abs__ge__self, fact_abs__ge__zero, fact_abs__idempotent, fact_abs__if, % 258.27/40.84 fact_abs__leI, fact_abs__le__D1, fact_abs__le__D2, fact_abs__le__iff, % 258.27/40.84 fact_abs__le__interval__iff, fact_abs__le__zero__iff, fact_abs__less__iff, % 258.27/40.84 fact_abs__minus__add__cancel, fact_abs__minus__cancel, fact_abs__minus__commute, % 258.27/40.84 fact_abs__minus__le__zero, fact_abs__not__less__zero, fact_abs__number__of, % 258.27/40.84 fact_abs__of__neg, fact_abs__of__nonneg, fact_abs__of__nonpos, % 258.27/40.84 fact_abs__of__pos, fact_abs__one, fact_abs__poly__def, fact_abs__real__def, % 258.27/40.84 fact_abs__real__of__nat__cancel, fact_abs__sum__triangle__ineq, % 258.27/40.84 fact_abs__triangle__ineq, fact_abs__triangle__ineq2, % 258.27/40.84 fact_abs__triangle__ineq2__sym, fact_abs__triangle__ineq3, % 258.27/40.84 fact_abs__triangle__ineq4, fact_abs__zero, fact_add1__zle__eq, % 258.27/40.84 fact_add_Ocomm__neutral, fact_add__0, fact_add__0__iff, fact_add__0__left, % 258.27/40.84 fact_add__0__right, fact_add__2__eq__Suc, fact_add__2__eq__Suc_H, % 258.27/40.84 fact_add__Bit0__Bit0, fact_add__Bit0__Bit1, fact_add__Bit1__Bit0, fact_add__Pls, % 258.27/40.84 fact_add__Pls__right, fact_add__Suc, fact_add__Suc__right, fact_add__Suc__shift, % 258.27/40.84 fact_add__diff__assoc, fact_add__diff__assoc2, fact_add__diff__cancel, % 258.27/40.84 fact_add__diff__inverse, fact_add__divide__distrib, fact_add__eq__0__iff, % 258.27/40.84 fact_add__eq__if, fact_add__eq__self__zero, fact_add__gr__0, fact_add__imp__eq, % 258.27/40.84 fact_add__increasing, fact_add__increasing2, fact_add__is__0, fact_add__is__1, % 258.27/40.84 fact_add__leD1, fact_add__leD2, fact_add__leE, fact_add__le__cancel__left, % 258.27/40.84 fact_add__le__cancel__right, fact_add__le__imp__le__left, % 258.27/40.84 fact_add__le__imp__le__right, fact_add__le__less__mono, fact_add__le__mono, % 258.27/40.84 fact_add__le__mono1, fact_add__left__cancel, fact_add__left__imp__eq, % 258.27/40.84 fact_add__left__mono, fact_add__lessD1, fact_add__less__cancel__left, % 258.27/40.84 fact_add__less__cancel__right, fact_add__less__imp__less__left, % 258.27/40.84 fact_add__less__imp__less__right, fact_add__less__le__mono, % 258.27/40.84 fact_add__less__mono, fact_add__less__mono1, fact_add__minus__cancel, % 258.27/40.84 fact_add__mono, fact_add__nat__number__of, fact_add__neg__neg, % 258.27/40.84 fact_add__neg__nonpos, fact_add__nonneg__eq__0__iff, fact_add__nonneg__nonneg, % 258.27/40.84 fact_add__nonneg__pos, fact_add__nonpos__neg, fact_add__nonpos__nonpos, % 258.27/40.84 fact_add__number__of__diff1, fact_add__number__of__diff2, % 258.27/40.84 fact_add__number__of__eq, fact_add__number__of__left, fact_add__numeral__0, % 258.27/40.84 fact_add__numeral__0__right, fact_add__poly__code_I1_J, % 258.27/40.84 fact_add__poly__code_I2_J, fact_add__pos__nonneg, fact_add__pos__pos, % 258.27/40.84 fact_add__right__cancel, fact_add__right__imp__eq, fact_add__right__mono, % 258.27/40.84 fact_add__scale__eq__noteq, fact_add__self__div__2, fact_add__special_I2_J, % 258.27/40.84 fact_add__special_I3_J, fact_add__strict__increasing, % 258.27/40.84 fact_add__strict__increasing2, fact_add__strict__left__mono, % 258.27/40.84 fact_add__strict__mono, fact_add__strict__right__mono, fact_arith__simps_I30_J, % 258.27/40.84 fact_arith__simps_I32_J, fact_ath, fact_ath2, fact_bin__less__0__simps_I1_J, % 258.27/40.84 fact_bin__less__0__simps_I3_J, fact_bin__less__0__simps_I4_J, % 258.27/40.84 fact_combine__common__factor, fact_comm__mult__left__mono, % 258.27/40.84 fact_comm__mult__strict__left__mono, % 258.27/40.84 fact_comm__ring__1__class_Onormalizing__ring__rules_I2_J, % 258.27/40.84 fact_comm__semiring__1__class_Onormalizing__semiring__rules_I10_J, % 258.27/40.84 fact_comm__semiring__1__class_Onormalizing__semiring__rules_I11_J, % 258.27/40.84 fact_comm__semiring__1__class_Onormalizing__semiring__rules_I12_J, % 258.27/40.84 fact_comm__semiring__1__class_Onormalizing__semiring__rules_I1_J, % 258.27/40.84 fact_comm__semiring__1__class_Onormalizing__semiring__rules_I20_J, % 258.27/40.84 fact_comm__semiring__1__class_Onormalizing__semiring__rules_I21_J, % 258.27/40.84 fact_comm__semiring__1__class_Onormalizing__semiring__rules_I22_J, % 258.27/40.84 fact_comm__semiring__1__class_Onormalizing__semiring__rules_I23_J, % 258.27/40.84 fact_comm__semiring__1__class_Onormalizing__semiring__rules_I24_J, % 258.27/40.84 fact_comm__semiring__1__class_Onormalizing__semiring__rules_I25_J, % 258.27/40.84 fact_comm__semiring__1__class_Onormalizing__semiring__rules_I2_J, % 258.27/40.84 fact_comm__semiring__1__class_Onormalizing__semiring__rules_I34_J, % 258.27/40.84 fact_comm__semiring__1__class_Onormalizing__semiring__rules_I3_J, % 258.27/40.84 fact_comm__semiring__1__class_Onormalizing__semiring__rules_I4_J, % 258.27/40.84 fact_comm__semiring__1__class_Onormalizing__semiring__rules_I5_J, % 258.27/40.84 fact_comm__semiring__1__class_Onormalizing__semiring__rules_I6_J, % 258.27/40.84 fact_comm__semiring__1__class_Onormalizing__semiring__rules_I8_J, % 258.27/40.84 fact_comm__semiring__1__class_Onormalizing__semiring__rules_I9_J, % 258.27/40.84 fact_comm__semiring__class_Odistrib, fact_compl__eq__compl__iff, % 258.27/40.84 fact_compl__le__compl__iff, fact_compl__mono, fact_complex__diff__def, % 258.27/40.84 fact_complex__i__not__number__of, fact_complex__i__not__one, % 258.27/40.84 fact_complex__mod__minus__le__complex__mod, fact_complex__mod__triangle__ineq2, % 258.27/40.84 fact_complex__mod__triangle__sub, fact_crossproduct__eq, % 258.27/40.84 fact_crossproduct__noteq, fact_d_I1_J, fact_decseq__def, fact_diff__0, % 258.27/40.84 fact_diff__0__eq__0, fact_diff__0__right, fact_diff__Suc__1, % 258.27/40.84 fact_diff__Suc__Suc, fact_diff__Suc__diff__eq1, fact_diff__Suc__diff__eq2, % 258.27/40.84 fact_diff__Suc__eq__diff__pred, fact_diff__Suc__less, fact_diff__add__0, % 258.27/40.84 fact_diff__add__assoc, fact_diff__add__assoc2, fact_diff__add__cancel, % 258.27/40.84 fact_diff__add__inverse, fact_diff__add__inverse2, fact_diff__bin__simps_I10_J, % 258.27/40.84 fact_diff__bin__simps_I1_J, fact_diff__bin__simps_I3_J, % 258.27/40.84 fact_diff__bin__simps_I7_J, fact_diff__bin__simps_I9_J, fact_diff__cancel, % 258.27/40.84 fact_diff__cancel2, fact_diff__commute, fact_diff__def, fact_diff__diff__cancel, % 258.27/40.84 fact_diff__diff__left, fact_diff__diff__right, fact_diff__divide__distrib, % 258.27/40.84 fact_diff__eq__diff__eq, fact_diff__eq__diff__less, % 258.27/40.84 fact_diff__eq__diff__less__eq, fact_diff__int__def, % 258.27/40.84 fact_diff__int__def__symmetric, fact_diff__is__0__eq, fact_diff__is__0__eq_H, % 258.27/40.84 fact_diff__le__mono, fact_diff__le__mono2, fact_diff__le__self, fact_diff__less, % 258.27/40.84 fact_diff__less__Suc, fact_diff__less__mono, fact_diff__less__mono2, % 258.27/40.84 fact_diff__minus__eq__add, fact_diff__number__of__eq, % 258.27/40.84 fact_diff__poly__code_I1_J, fact_diff__poly__code_I2_J, fact_diff__self, % 258.27/40.84 fact_diff__self__eq__0, fact_diff__special_I1_J, fact_diff__special_I2_J, % 258.27/40.84 fact_diffs0__imp__equal, fact_div2__Suc__Suc, fact_div__0, fact_div__1, % 258.27/40.84 fact_div__2__gt__zero, fact_div__Suc__eq__div__add3, fact_div__add__self1, % 258.27/40.84 fact_div__add__self2, fact_div__by__0, fact_div__by__1, fact_div__geq, % 258.27/40.84 fact_div__if, fact_div__le__dividend, fact_div__le__mono, fact_div__le__mono2, % 258.27/40.84 fact_div__less, fact_div__less__dividend, fact_div__neg__neg__trivial, % 258.27/40.84 fact_div__neg__pos__less0, fact_div__nonneg__neg__le0, % 258.27/40.84 fact_div__nonpos__pos__le0, fact_div__pos__pos__trivial, fact_div__self, % 258.27/40.84 fact_divide_Oadd, fact_divide_Odiff, fact_divide_Ominus, fact_divide_Ozero, % 258.27/40.84 fact_divide__1, fact_divide__Numeral0, fact_divide__Numeral1, % 258.27/40.84 fact_divide__eq__eq, fact_divide__eq__imp, fact_divide__le__0__iff, % 258.27/40.84 fact_divide__less__0__iff, fact_divide__neg__neg, fact_divide__neg__pos, % 258.27/40.84 fact_divide__nonneg__neg, fact_divide__nonneg__pos, fact_divide__nonpos__neg, % 258.27/40.84 fact_divide__nonpos__pos, fact_divide__numeral__1, fact_divide__pos__neg, % 258.27/40.84 fact_divide__pos__pos, fact_divide__right__mono, fact_divide__right__mono__neg, % 258.27/40.84 fact_divide__self, fact_divide__self__if, fact_divide__strict__right__mono, % 258.27/40.84 fact_divide__strict__right__mono__neg, fact_divide__zero, % 258.27/40.84 fact_divide__zero__left, fact_division__ring__inverse__add, % 258.27/40.84 fact_division__ring__inverse__diff, fact_divisors__zero, % 258.27/40.84 fact_double__add__le__zero__iff__single__add__le__zero, % 258.27/40.84 fact_double__add__less__zero__iff__single__add__less__zero, fact_double__compl, % 258.27/40.84 fact_double__eq__0__iff, fact_double__zero__sym, fact_eq__0__number__of, % 258.27/40.84 fact_eq__add__iff1, fact_eq__add__iff2, fact_eq__diff__iff, fact_eq__divide__eq, % 258.27/40.84 fact_eq__divide__imp, fact_eq__iff__diff__eq__0, fact_eq__imp__le, % 258.27/40.84 fact_eq__neg__iff__add__eq__0, fact_eq__number__of, fact_eq__number__of__0, % 258.27/40.84 fact_equal__neg__zero, fact_equation__minus__iff, fact_even__less__0__iff, % 258.27/40.84 fact_expand__Suc, fact_ext, fact_field__class_Onormalizing__field__rules_I2_J, % 258.27/40.84 fact_field__inverse, fact_field__inverse__zero, fact_frac__eq__eq, % 258.27/40.84 fact_frac__le, fact_frac__less, fact_frac__less2, fact_fz_I1_J, fact_fz_I2_J, % 258.27/40.84 fact_g_I1_J, fact_ge__natfloor__plus__one__imp__gt, fact_gr0I, % 258.27/40.84 fact_gr0__conv__Suc, fact_gr__implies__not0, fact_gt__half__sum, fact_half, % 258.27/40.84 fact_half__gt__zero, fact_half__gt__zero__iff, fact_int__0__less__1, % 258.27/40.84 fact_int__0__neq__1, fact_int__div__less__self, % 258.27/40.84 fact_int__one__le__iff__zero__less, fact_int__pos__lt__two__imp__zero__or__one, % 258.27/40.84 fact_inverse__1, fact_inverse__add, fact_inverse__eq__1__iff, % 258.27/40.84 fact_inverse__eq__divide, fact_inverse__less__imp__less, % 258.27/40.84 fact_inverse__less__imp__less__neg, fact_inverse__minus__eq, % 258.27/40.84 fact_inverse__negative__iff__negative, fact_inverse__negative__imp__negative, % 258.27/40.84 fact_inverse__nonnegative__iff__nonnegative, % 258.27/40.84 fact_inverse__nonpositive__iff__nonpositive, % 258.27/40.84 fact_inverse__nonzero__iff__nonzero, fact_inverse__positive__iff__positive, % 258.27/40.84 fact_inverse__positive__imp__positive, fact_inverse__unique, fact_inverse__zero, % 258.27/40.84 fact_inverse__zero__imp__zero, fact_le0, fact_leD, fact_leI, fact_le__0__eq, % 258.27/40.84 fact_le__SucE, fact_le__SucI, fact_le__Suc__eq, fact_le__Suc__ex__iff, % 258.27/40.84 fact_le__add1, fact_le__add2, fact_le__add__diff, fact_le__add__diff__inverse, % 258.27/40.84 fact_le__add__diff__inverse2, fact_le__antisym, fact_le__diff__conv, % 258.27/40.84 fact_le__diff__conv2, fact_le__diff__iff, fact_le__div__geq, % 258.27/40.84 fact_le__eq__less__or__eq, fact_le__funD, fact_le__funE, fact_le__fun__def, % 258.27/40.84 fact_le__iff__add, fact_le__iff__diff__le__0, fact_le__imp__0__less, % 258.27/40.84 fact_le__imp__diff__is__add, fact_le__imp__less__Suc, fact_le__imp__neg__le, % 258.27/40.84 fact_le__less__Suc__eq, fact_le__minus__iff, fact_le__minus__self__iff, % 258.27/40.84 fact_le__nat__number__of, fact_le__natfloor, fact_le__natfloor__eq, % 258.27/40.84 fact_le__natfloor__eq__one, fact_le__neq__implies__less, fact_le__number__of, % 258.27/40.84 fact_le__number__of__eq__not__less, fact_le__refl, fact_le__special_I1_J, % 258.27/40.84 fact_le__special_I2_J, fact_le__special_I3_J, fact_le__special_I4_J, % 258.27/40.84 fact_le__trans, fact_left__diff__distrib__number__of, % 258.27/40.84 fact_left__distrib__number__of, fact_left__inverse, fact_left__minus, % 258.27/40.84 fact_lemmaCauchy, fact_lemma__NBseq__def, fact_lemma__NBseq__def2, fact_lessI, % 258.27/40.84 fact_less__0__number__of, fact_less__1__mult, fact_less__2__cases, % 258.27/40.84 fact_less__Suc0, fact_less__SucE, fact_less__SucI, fact_less__Suc__eq, % 258.27/40.84 fact_less__Suc__eq__0__disj, fact_less__Suc__eq__le, fact_less__add__Suc1, % 258.27/40.84 fact_less__add__Suc2, fact_less__add__eq__less, fact_less__add__one, % 258.27/40.84 fact_less__antisym, fact_less__bin__lemma, fact_less__diff__conv, % 258.27/40.84 fact_less__diff__iff, fact_less__eq__Suc__le, fact_less__eq__int__code_I13_J, % 258.27/40.84 fact_less__eq__int__code_I14_J, fact_less__eq__int__code_I15_J, % 258.27/40.84 fact_less__eq__int__code_I16_J, fact_less__eq__nat_Osimps_I1_J, % 258.27/40.84 fact_less__eq__number__of__int__code, fact_less__eq__real__def, % 258.27/40.84 fact_less__fun__def, fact_less__half__sum, fact_less__iff__Suc__add, % 258.27/40.84 fact_less__iff__diff__less__0, fact_less__imp__diff__less, % 258.27/40.84 fact_less__imp__inverse__less, fact_less__imp__inverse__less__neg, % 258.27/40.84 fact_less__imp__le__nat, fact_less__imp__neq, fact_less__int__code_I13_J, % 258.27/40.84 fact_less__int__code_I14_J, fact_less__int__code_I15_J, % 258.27/40.84 fact_less__int__code_I16_J, fact_less__irrefl__nat, fact_less__le__not__le, % 258.27/40.84 fact_less__minus__iff, fact_less__minus__self__iff, fact_less__nat__number__of, % 258.27/40.84 fact_less__nat__zero__code, fact_less__natfloor, fact_less__not__refl, % 258.27/40.84 fact_less__not__refl2, fact_less__not__refl3, fact_less__number__of, % 258.27/40.84 fact_less__number__of__int__code, fact_less__or__eq__imp__le, % 258.27/40.84 fact_less__special_I1_J, fact_less__special_I2_J, fact_less__special_I3_J, % 258.27/40.84 fact_less__special_I4_J, fact_less__trans__Suc, fact_less__zeroE, % 258.27/40.84 fact_linorder__antisym__conv1, fact_linorder__antisym__conv2, % 258.27/40.84 fact_linorder__antisym__conv3, fact_linorder__cases, fact_linorder__le__cases, % 258.27/40.84 fact_linorder__le__less__linear, fact_linorder__less__linear, % 258.27/40.84 fact_linorder__linear, fact_linorder__neqE, % 258.27/40.84 fact_linorder__neqE__linordered__idom, fact_linorder__neqE__nat, % 258.27/40.84 fact_linorder__neq__iff, fact_linorder__not__le, fact_linorder__not__less, % 258.27/40.84 fact_minus__Bit0, fact_minus__Pls, fact_minus__add, fact_minus__add__cancel, % 258.27/40.84 fact_minus__add__distrib, fact_minus__apply, fact_minus__diff__eq, % 258.27/40.84 fact_minus__divide__divide, fact_minus__divide__left, fact_minus__divide__right, % 258.27/40.84 fact_minus__equation__iff, fact_minus__le__iff, fact_minus__le__self__iff, % 258.27/40.84 fact_minus__less__iff, fact_minus__minus, fact_minus__mult__commute, % 258.27/40.84 fact_minus__mult__left, fact_minus__mult__minus, fact_minus__mult__right, % 258.27/40.84 fact_minus__nat_Odiff__0, fact_minus__numeral__code_I5_J, % 258.27/40.84 fact_minus__numeral__code_I6_J, fact_minus__poly__code_I1_J, % 258.27/40.84 fact_minus__real__def, fact_minus__unique, fact_minus__zero, % 258.27/40.84 fact_mult_Oadd__left, fact_mult_Oadd__right, fact_mult_Ocomm__neutral, % 258.27/40.84 fact_mult_Odiff__left, fact_mult_Odiff__right, fact_mult_Ominus__left, % 258.27/40.84 fact_mult_Ominus__right, fact_mult_Oprod__diff__prod, fact_mult_Ozero__left, % 258.27/40.84 fact_mult_Ozero__right, fact_mult__1, fact_mult__1__left, fact_mult__1__right, % 258.27/40.84 fact_mult__diff__mult, fact_mult__divide__mult__cancel__left, % 258.27/40.84 fact_mult__divide__mult__cancel__right, fact_mult__eq__0__iff, % 258.27/40.84 fact_mult__le__0__iff, fact_mult__left_Oadd, fact_mult__left_Odiff, % 258.27/40.84 fact_mult__left_Ominus, fact_mult__left_Ozero, fact_mult__left__mono, % 258.27/40.84 fact_mult__left__mono__neg, fact_mult__less__cancel__left__disj, % 258.27/40.84 fact_mult__less__cancel__left__neg, fact_mult__less__cancel__left__pos, % 258.27/40.84 fact_mult__less__cancel__right__disj, fact_mult__mono, fact_mult__mono_H, % 258.27/40.84 fact_mult__neg__neg, fact_mult__neg__pos, fact_mult__nonneg__nonneg, % 258.27/40.84 fact_mult__nonneg__nonpos, fact_mult__nonneg__nonpos2, % 258.27/40.84 fact_mult__nonpos__nonneg, fact_mult__nonpos__nonpos, % 258.27/40.84 fact_mult__number__of__left, fact_mult__pos__neg, fact_mult__pos__neg2, % 258.27/40.84 fact_mult__pos__pos, fact_mult__right_Oadd, fact_mult__right_Odiff, % 258.27/40.84 fact_mult__right_Ominus, fact_mult__right_Ozero, fact_mult__right__mono, % 258.27/40.84 fact_mult__right__mono__neg, fact_mult__strict__left__mono, % 258.27/40.84 fact_mult__strict__left__mono__neg, fact_mult__strict__right__mono, % 258.27/40.84 fact_mult__strict__right__mono__neg, fact_mult__zero__left, % 258.27/40.84 fact_mult__zero__right, fact_n__not__Suc__n, fact_nat_Oinject, % 258.27/40.84 fact_nat_Osimps_I2_J, fact_nat_Osimps_I3_J, fact_nat__1__add__1, % 258.27/40.84 fact_nat__add__assoc, fact_nat__add__commute, fact_nat__add__left__cancel, % 258.27/40.84 fact_nat__add__left__cancel__le, fact_nat__add__left__cancel__less, % 258.27/40.84 fact_nat__add__left__commute, fact_nat__add__right__cancel, % 258.27/40.84 fact_nat__diff__split, fact_nat__diff__split__asm, fact_nat__le__linear, % 258.27/40.84 fact_nat__le__real__less, fact_nat__less__cases, fact_nat__less__le, % 258.27/40.84 fact_nat__less__real__le, fact_nat__lt__two__imp__zero__or__one, % 258.27/40.84 fact_nat__neq__iff, fact_nat__number__of__Pls, fact_nat__numeral__1__eq__1, % 258.27/40.84 fact_natceiling__add, fact_natceiling__add__one, fact_natceiling__eq, % 258.27/40.84 fact_natceiling__le, fact_natceiling__le__eq, fact_natceiling__le__eq__one, % 258.27/40.84 fact_natceiling__mono, fact_natceiling__neg, fact_natceiling__number__of__eq, % 258.27/40.84 fact_natceiling__one, fact_natceiling__real__of__nat, fact_natceiling__subtract, % 258.27/40.84 fact_natceiling__zero, fact_natfloor__add, fact_natfloor__add__one, % 258.27/40.84 fact_natfloor__div__nat, fact_natfloor__eq, fact_natfloor__mono, % 258.27/40.84 fact_natfloor__neg, fact_natfloor__number__of__eq, fact_natfloor__one, % 258.27/40.84 fact_natfloor__real__of__nat, fact_natfloor__subtract, fact_natfloor__zero, % 258.27/40.84 fact_neg__0__equal__iff__equal, fact_neg__0__le__iff__le, % 258.27/40.84 fact_neg__0__less__iff__less, fact_neg__equal__0__iff__equal, % 258.27/40.84 fact_neg__equal__iff__equal, fact_neg__equal__zero, % 258.27/40.84 fact_neg__imp__zdiv__neg__iff, fact_neg__imp__zdiv__nonneg__iff, % 258.27/40.84 fact_neg__le__0__iff__le, fact_neg__le__iff__le, fact_neg__less__0__iff__less, % 258.27/40.84 fact_neg__less__iff__less, fact_neg__less__nonneg, % 258.27/40.84 fact_negative__imp__inverse__negative, fact_neq0__conv, fact_no__zero__divisors, % 258.27/40.84 fact_nonneg1__imp__zdiv__pos__iff, fact_nonzero__abs__divide, % 258.27/40.84 fact_nonzero__abs__inverse, fact_nonzero__divide__eq__eq, % 258.27/40.84 fact_nonzero__imp__inverse__nonzero, fact_nonzero__inverse__eq__imp__eq, % 258.27/40.84 fact_nonzero__inverse__inverse__eq, fact_nonzero__inverse__minus__eq, % 258.27/40.84 fact_nonzero__inverse__mult__distrib, fact_nonzero__minus__divide__divide, % 258.27/40.84 fact_nonzero__minus__divide__right, fact_nonzero__norm__divide, % 258.27/40.84 fact_nonzero__norm__inverse, fact_norm__add__less, fact_norm__diff__ineq, % 258.27/40.84 fact_norm__diff__triangle__ineq, fact_norm__divide, fact_norm__minus__cancel, % 258.27/40.84 fact_norm__mult__ineq, fact_norm__mult__less, fact_norm__number__of, % 258.27/40.84 fact_norm__one, fact_norm__sgn, fact_norm__triangle__ineq, % 258.27/40.84 fact_norm__triangle__ineq2, fact_norm__triangle__ineq4, fact_norm__zero, % 258.27/40.84 fact_not__add__less1, fact_not__add__less2, fact_not__leE, fact_not__less0, % 258.27/40.84 fact_not__less__eq, fact_not__less__eq__eq, fact_not__less__iff__gr__or__eq, % 258.27/40.84 fact_not__less__less__Suc__eq, fact_not__one__le__zero, % 258.27/40.84 fact_not__one__less__zero, fact_not__real__of__nat__less__zero, % 258.27/40.84 fact_not__square__less__zero, fact_number__of__Bit0, fact_number__of__Bit1, % 258.27/40.84 fact_number__of__Pls, fact_number__of__add, fact_number__of__diff, % 258.27/40.84 fact_number__of__is__id, fact_number__of__minus, fact_number__of__mult, % 258.27/40.84 fact_number__of__reorient, fact_numeral__1__eq__1, fact_numeral__1__eq__Suc__0, % 258.27/40.84 fact_numeral__2__eq__2, fact_numeral__3__eq__3, fact_odd__less__0, % 258.27/40.84 fact_odd__nonzero, fact_one__add__one__is__two, fact_one__is__add, % 258.27/40.84 fact_one__is__num__one, fact_one__neq__zero, fact_one__reorient, % 258.27/40.84 fact_ord__eq__le__trans, fact_ord__eq__less__trans, fact_ord__le__eq__trans, % 258.27/40.84 fact_ord__less__eq__trans, fact_order__antisym, fact_order__antisym__conv, % 258.27/40.84 fact_order__eq__iff, fact_order__eq__refl, fact_order__le__imp__less__or__eq, % 258.27/40.84 fact_order__le__less, fact_order__le__less__trans, fact_order__le__neq__trans, % 258.27/40.84 fact_order__less__asym, fact_order__less__asym_H, fact_order__less__imp__le, % 258.27/40.84 fact_order__less__imp__not__eq, fact_order__less__imp__not__eq2, % 258.27/40.84 fact_order__less__imp__not__less, fact_order__less__irrefl, % 258.27/40.84 fact_order__less__le, fact_order__less__le__trans, fact_order__less__not__sym, % 258.27/40.84 fact_order__less__trans, fact_order__neq__le__trans, fact_order__refl, % 258.27/40.84 fact_order__root, fact_order__trans, fact_plus__nat_Oadd__0, % 258.27/40.84 fact_plus__numeral__code_I9_J, fact_poly__0, fact_poly__1, fact_poly__add, % 258.27/40.84 fact_poly__cont, fact_poly__diff, fact_poly__div__minus__left, % 258.27/40.84 fact_poly__div__minus__right, fact_poly__eq__iff, fact_poly__minus, % 258.27/40.84 fact_poly__zero, fact_pos__add__strict, fact_pos__imp__zdiv__neg__iff, % 258.27/40.84 fact_pos__imp__zdiv__nonneg__iff, fact_pos__imp__zdiv__pos__iff, % 258.27/40.84 fact_positive__imp__inverse__positive, fact_psize__eq__0__iff, % 258.27/40.84 fact_real__0__le__add__iff, fact_real__0__le__divide__iff, % 258.27/40.84 fact_real__0__less__add__iff, fact_real__abs__def, fact_real__add__eq__0__iff, % 258.27/40.84 fact_real__add__le__0__iff, fact_real__add__left__mono, % 258.27/40.84 fact_real__add__less__0__iff, fact_real__add__minus__iff, % 258.27/40.84 fact_real__add__mult__distrib, fact_real__average__minus__first, % 258.27/40.84 fact_real__average__minus__second, fact_real__diff__def, % 258.27/40.84 fact_real__gt__half__sum, fact_real__le__antisym, fact_real__le__eq__diff, % 258.27/40.84 fact_real__le__linear, fact_real__le__refl, fact_real__le__trans, % 258.27/40.84 fact_real__less__def, fact_real__less__half__sum, fact_real__mult__1, % 258.27/40.84 fact_real__mult__inverse__left, fact_real__mult__left__cancel, % 258.27/40.84 fact_real__mult__right__cancel, fact_real__natceiling__ge, % 258.27/40.84 fact_real__natfloor__add__one__gt, fact_real__natfloor__gt__diff__one, % 258.27/40.84 fact_real__natfloor__le, fact_real__norm__def, fact_real__of__nat__1, % 258.27/40.84 fact_real__of__nat__Suc, fact_real__of__nat__Suc__gt__zero, % 258.27/40.84 fact_real__of__nat__add, fact_real__of__nat__diff, fact_real__of__nat__div2, % 258.27/40.84 fact_real__of__nat__div3, fact_real__of__nat__div4, % 258.27/40.84 fact_real__of__nat__ge__zero, fact_real__of__nat__gt__zero__cancel__iff, % 258.27/40.84 fact_real__of__nat__inject, fact_real__of__nat__le__iff, % 258.27/40.84 fact_real__of__nat__le__zero__cancel__iff, fact_real__of__nat__less__iff, % 258.27/40.84 fact_real__of__nat__one, fact_real__of__nat__zero, % 258.27/40.84 fact_real__of__nat__zero__iff, fact_real__sgn__def, fact_real__sgn__eq, % 258.27/40.84 fact_real__sgn__pos, fact_real__sum__of__halves, fact_real__zero__not__eq__one, % 258.27/40.84 fact_reals__Archimedean6, fact_rel__simps_I10_J, fact_rel__simps_I12_J, % 258.27/40.84 fact_rel__simps_I14_J, fact_rel__simps_I15_J, fact_rel__simps_I16_J, % 258.27/40.84 fact_rel__simps_I17_J, fact_rel__simps_I19_J, fact_rel__simps_I21_J, % 258.27/40.84 fact_rel__simps_I22_J, fact_rel__simps_I27_J, fact_rel__simps_I29_J, % 258.27/40.84 fact_rel__simps_I2_J, fact_rel__simps_I31_J, fact_rel__simps_I32_J, % 258.27/40.84 fact_rel__simps_I33_J, fact_rel__simps_I34_J, fact_rel__simps_I38_J, % 258.27/40.84 fact_rel__simps_I39_J, fact_rel__simps_I44_J, fact_rel__simps_I46_J, % 258.27/40.84 fact_rel__simps_I48_J, fact_rel__simps_I49_J, fact_rel__simps_I4_J, % 258.27/40.84 fact_rel__simps_I50_J, fact_rel__simps_I51_J, fact_rel__simps_I5_J, % 258.27/40.84 fact_right__diff__distrib__number__of, fact_right__distrib__number__of, % 258.27/40.84 fact_right__inverse, fact_right__inverse__eq, fact_right__minus, % 258.27/40.84 fact_right__minus__eq, fact_rp, fact_semiring__norm_I110_J, % 258.27/40.84 fact_semiring__norm_I112_J, fact_semiring__norm_I113_J, % 258.27/40.84 fact_semiring__norm_I115_J, fact_seq__suble, fact_sgn0, fact_sgn__0__0, % 258.27/40.84 fact_sgn__1__neg, fact_sgn__1__pos, fact_sgn__greater, fact_sgn__if, % 258.27/40.84 fact_sgn__less, fact_sgn__minus, fact_sgn__mult, fact_sgn__neg, fact_sgn__one, % 258.27/40.84 fact_sgn__poly__def, fact_sgn__pos, fact_sgn__real__def, fact_sgn__sgn, % 258.27/40.84 fact_sgn__times, fact_sgn__zero, fact_sgn__zero__iff, fact_split__mult__neg__le, % 258.27/40.84 fact_split__mult__pos__le, fact_square__eq__iff, fact_subseq__Suc__iff, % 258.27/40.84 fact_subseq__def, fact_sum__squares__eq__zero__iff, % 258.27/40.84 fact_termination__basic__simps_I1_J, fact_termination__basic__simps_I2_J, % 258.27/40.84 fact_termination__basic__simps_I3_J, fact_termination__basic__simps_I4_J, % 258.27/40.84 fact_termination__basic__simps_I5_J, fact_th0, fact_th000_I1_J, fact_th000_I2_J, % 258.27/40.84 fact_th000_I3_J, fact_trans__le__add1, fact_trans__le__add2, % 258.27/40.84 fact_trans__less__add1, fact_trans__less__add2, fact_uminus__apply, % 258.27/40.84 fact_unimodular__reduce__norm, fact_xt1_I10_J, fact_xt1_I11_J, fact_xt1_I12_J, % 258.27/40.84 fact_xt1_I1_J, fact_xt1_I2_J, fact_xt1_I3_J, fact_xt1_I4_J, fact_xt1_I5_J, % 258.27/40.84 fact_xt1_I6_J, fact_xt1_I7_J, fact_xt1_I8_J, fact_xt1_I9_J, fact_zabs__def, % 258.27/40.84 fact_zabs__less__one__iff, fact_zadd__0, fact_zadd__0__right, fact_zadd__assoc, % 258.27/40.84 fact_zadd__commute, fact_zadd__left__commute, fact_zadd__left__mono, % 258.27/40.84 fact_zadd__strict__right__mono, fact_zadd__zless__mono, % 258.27/40.84 fact_zadd__zminus__inverse2, fact_zdiv__eq__0__iff, fact_zdiv__mono1, % 258.27/40.84 fact_zdiv__mono1__neg, fact_zdiv__mono2, fact_zdiv__mono2__neg, % 258.27/40.84 fact_zdiv__number__of__Bit0, fact_zdiv__number__of__Bit1, fact_zdiv__self, % 258.27/40.84 fact_zdiv__zero, fact_zdiv__zminus2, fact_zdiv__zminus__zminus, % 258.27/40.84 fact_zero__is__num__zero, fact_zero__le__divide__iff, % 258.27/40.84 fact_zero__le__double__add__iff__zero__le__single__add, % 258.27/40.84 fact_zero__le__mult__iff, fact_zero__le__natceiling, fact_zero__le__natfloor, % 258.27/40.84 fact_zero__le__one, fact_zero__le__square, fact_zero__less__Suc, % 258.27/40.84 fact_zero__less__abs__iff, fact_zero__less__diff, fact_zero__less__divide__iff, % 258.27/40.84 fact_zero__less__double__add__iff__zero__less__single__add, % 258.27/40.84 fact_zero__less__mult__pos, fact_zero__less__mult__pos2, fact_zero__less__one, % 258.27/40.84 fact_zero__less__two, fact_zero__neq__one, fact_zero__reorient, % 258.27/40.84 fact_zle__add1__eq__le, fact_zle__antisym, fact_zle__diff1__eq, % 258.27/40.84 fact_zle__linear, fact_zle__refl, fact_zle__trans, fact_zless__add1__eq, % 258.27/40.84 fact_zless__imp__add1__zle, fact_zless__le, fact_zless__linear, fact_zminus__0, % 258.27/40.84 fact_zminus__zadd__distrib, fact_zminus__zminus, fact_zsgn__def % 258.27/40.84 % 258.27/40.84 Those formulas are unsatisfiable: % 258.27/40.84 --------------------------------- % 258.27/40.84 % 258.27/40.84 Begin of proof % 258.27/40.85 | % 258.27/40.85 | ALPHA: (fact_wr) implies: % 258.27/40.85 | (1) $i(v_w____) % 258.27/40.85 | (2) ? [v0: $i] : (c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, % 258.27/40.85 | v_w____) = v0 & c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, % 258.27/40.85 | v0, v_r) = 0 & $i(v0)) % 258.27/40.85 | % 258.27/40.85 | ALPHA: (fact__096N1_A_L_AN2_A_060_061_Af_A_IN1_A_L_AN2_J_096) implies: % 258.27/40.85 | (3) ? [v0: $i] : ? [v1: $i] : (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, % 258.27/40.85 | v_N1____, v_N2____) = v0 & % 258.27/40.85 | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v0, v1) = 0 & % 258.27/40.85 | hAPP(v_f____, v0) = v1 & $i(v1) & $i(v0)) % 258.27/40.85 | % 258.27/40.85 | ALPHA: (fact_norm__triangle__ineq3) implies: % 258.27/40.85 | (4) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : % 258.27/40.85 | ! [v5: $i] : ! [v6: $i] : ! [v7: $i] : ! [v8: $i] : ! [v9: int] : % 258.27/40.85 | (v9 = 0 | ~ (c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, v5) = v6) | % 258.27/40.85 | ~ (c_Groups_Ominus__class_Ominus(v2, v1, v0) = v7) | ~ % 258.27/40.85 | (c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal, v3, v4) = v5) | ~ % 258.27/40.85 | (c_RealVector_Onorm__class_Onorm(v2, v7) = v8) | ~ % 258.27/40.85 | (c_RealVector_Onorm__class_Onorm(v2, v1) = v3) | ~ % 258.27/40.85 | (c_RealVector_Onorm__class_Onorm(v2, v0) = v4) | ~ % 258.27/40.85 | (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v6, v8) = v9) | % 258.27/40.85 | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v10: int] : ( ~ (v10 = 0) & % 258.27/40.85 | class_RealVector_Oreal__normed__vector(v2) = v10)) % 258.27/40.85 | % 258.27/40.85 | ALPHA: (fact_abs__norm__cancel) implies: % 258.27/40.85 | (5) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ % 258.27/40.85 | (c_RealVector_Onorm__class_Onorm(v1, v0) = v2) | ~ $i(v1) | ~ % 258.27/40.85 | $i(v0) | ? [v3: any] : ? [v4: $i] : % 258.27/40.85 | (c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, v2) = v4 & % 258.27/40.85 | class_RealVector_Oreal__normed__vector(v1) = v3 & $i(v4) & ( ~ (v3 % 258.27/40.85 | = 0) | v4 = v2))) % 258.27/40.85 | % 258.27/40.85 | ALPHA: (fact_th31) implies: % 258.27/40.86 | (6) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] : % 258.27/40.86 | ? [v5: $i] : ? [v6: $i] : % 258.27/40.86 | (c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v_s____) = v0 & % 258.27/40.86 | c_Polynomial_Opoly(tc_Complex_Ocomplex, v_p) = v1 & % 258.27/40.86 | c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v_N1____, v_N2____) = v2 & % 258.27/40.86 | v_g____(v3) = v4 & % 258.27/40.86 | c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v5) = v6 & % 258.27/40.86 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0, v6) = 0 & % 258.27/40.86 | hAPP(v1, v4) = v5 & hAPP(v_f____, v2) = v3 & $i(v6) & $i(v5) & $i(v4) % 258.27/40.86 | & $i(v3) & $i(v2) & $i(v1) & $i(v0)) % 258.27/40.86 | % 258.27/40.86 | ALPHA: (fact_e) implies: % 258.27/40.86 | (7) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] : % 258.27/40.86 | ? [v5: $i] : ? [v6: $i] : % 258.27/40.86 | (c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v_s____) = v4 & % 258.27/40.86 | c_Polynomial_Opoly(tc_Complex_Ocomplex, v_p) = v1 & % 258.27/40.86 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v6) = 0 & % 258.27/40.86 | c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & % 258.27/40.86 | c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, v5) = v6 & % 258.27/40.86 | c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal, v3, v4) = v5 & % 258.27/40.86 | c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v2) = v3 & % 258.27/40.86 | hAPP(v1, v_z____) = v2 & $i(v6) & $i(v5) & $i(v4) & $i(v3) & $i(v2) & % 258.27/40.86 | $i(v1) & $i(v0)) % 258.27/40.86 | % 258.27/40.86 | ALPHA: (fact_s1m) implies: % 258.27/40.86 | (8) ? [v0: $i] : ? [v1: $i] : % 258.27/40.86 | (c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v_s____) = v0 & % 258.27/40.86 | c_Polynomial_Opoly(tc_Complex_Ocomplex, v_p) = v1 & $i(v1) & $i(v0) & % 258.27/40.86 | ! [v2: $i] : ! [v3: $i] : ( ~ (hAPP(v1, v2) = v3) | ~ $i(v2) | ? % 258.27/40.86 | [v4: $i] : ? [v5: any] : ? [v6: $i] : ? [v7: any] : % 258.27/40.86 | (c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v3) = v6 & % 258.27/40.86 | c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v2) = v4 & % 258.27/40.86 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v4, v_r) = v5 % 258.27/40.86 | & c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0, v6) = % 258.27/40.86 | v7 & $i(v6) & $i(v4) & ( ~ (v5 = 0) | v7 = 0)))) % 258.27/40.86 | % 258.27/40.86 | ALPHA: (fact__096_B_Bn_O_A_N_As_A_060_061_Acmod_A_Ipoly_Ap_A_Ig_An_J_J_096) % 258.27/40.86 | implies: % 258.27/40.86 | (9) ? [v0: $i] : ? [v1: $i] : % 258.27/40.86 | (c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v_s____) = v0 & % 258.27/40.86 | c_Polynomial_Opoly(tc_Complex_Ocomplex, v_p) = v1 & $i(v1) & $i(v0) & % 258.27/40.86 | ! [v2: $i] : ! [v3: $i] : ( ~ (v_g____(v2) = v3) | ~ $i(v2) | ? % 258.27/40.86 | [v4: $i] : ? [v5: $i] : % 258.27/40.86 | (c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v4) = v5 & % 258.27/40.86 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0, v5) = 0 & % 258.27/40.86 | hAPP(v1, v3) = v4 & $i(v5) & $i(v4)))) % 258.27/40.86 | % 258.27/40.86 | ALPHA: (fact_s) implies: % 258.27/40.86 | (10) ? [v0: $i] : (c_Polynomial_Opoly(tc_Complex_Ocomplex, v_p) = v0 & % 258.27/40.86 | $i(v0) & ! [v1: $i] : ! [v2: int] : (v2 = 0 | ~ % 258.27/40.86 | (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v1, v_s____) = % 258.27/40.86 | v2) | ~ $i(v1) | ! [v3: $i] : ! [v4: $i] : ( ~ % 258.27/40.86 | (c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v3) = v4) | % 258.27/40.86 | ~ $i(v3) | ? [v5: int] : ( ~ (v5 = 0) & % 258.27/40.86 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v1, v3) = v5) % 258.27/40.86 | | ! [v5: $i] : ! [v6: $i] : ( ~ (hAPP(v0, v5) = v6) | ~ % 258.27/40.86 | $i(v5) | ? [v7: $i] : ? [v8: any] : ? [v9: $i] : % 258.27/40.86 | (c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v6) = v9 % 258.27/40.86 | & c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v5) = % 258.27/40.86 | v7 & c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v7, % 258.27/40.86 | v_r) = v8 & $i(v9) & $i(v7) & ( ~ (v9 = v4) | ~ (v8 = % 258.27/40.86 | 0)))))) & ! [v1: $i] : ( ~ % 258.27/40.86 | (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v1, v_s____) = 0) % 258.27/40.86 | | ~ $i(v1) | ? [v2: $i] : ? [v3: $i] : % 258.27/40.86 | (c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v2) = v3 & % 258.27/40.86 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v1, v2) = 0 & % 258.27/40.86 | $i(v3) & $i(v2) & ? [v4: $i] : ? [v5: $i] : ? [v6: $i] : % 258.27/40.86 | (c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v6) = v3 & % 258.27/40.86 | c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v4) = v5 % 258.27/40.86 | & c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v5, v_r) % 258.27/40.86 | = 0 & hAPP(v0, v4) = v6 & $i(v6) & $i(v5) & $i(v4))))) % 258.27/40.86 | % 258.27/40.86 | ALPHA: (fact_zero__less__norm__iff) implies: % 258.27/40.86 | (11) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & % 258.27/40.86 | $i(v0) & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~ % 258.27/40.86 | (c_RealVector_Onorm__class_Onorm(v2, v1) = v3) | ~ $i(v2) | ~ % 258.27/40.86 | $i(v1) | ? [v4: any] : ? [v5: any] : ? [v6: $i] : % 258.27/40.86 | (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v3) = v5 & % 258.27/40.86 | c_Groups_Ozero__class_Ozero(v2) = v6 & % 258.27/40.86 | class_RealVector_Oreal__normed__vector(v2) = v4 & $i(v6) & ( ~ % 258.27/40.86 | (v4 = 0) | (( ~ (v6 = v1) | ~ (v5 = 0)) & (v6 = v1 | v5 = % 258.27/40.86 | 0)))))) % 258.27/40.86 | % 258.27/40.86 | ALPHA: (fact_norm__not__less__zero) implies: % 258.27/40.86 | (12) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & % 258.27/40.86 | $i(v0) & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~ % 258.27/40.86 | (c_RealVector_Onorm__class_Onorm(v2, v1) = v3) | ~ $i(v2) | ~ % 258.27/40.86 | $i(v1) | ? [v4: any] : ? [v5: any] : % 258.27/40.86 | (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v3, v0) = v5 & % 258.27/40.86 | class_RealVector_Oreal__normed__vector(v2) = v4 & ( ~ (v5 = 0) | % 258.27/40.86 | ~ (v4 = 0))))) % 258.27/40.86 | % 258.27/40.86 | ALPHA: (fact_norm__eq__zero) implies: % 258.27/40.86 | (13) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & % 258.27/40.86 | $i(v0) & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~ % 258.27/40.86 | (c_RealVector_Onorm__class_Onorm(v2, v1) = v3) | ~ $i(v2) | ~ % 258.27/40.86 | $i(v1) | ? [v4: any] : ? [v5: $i] : % 258.27/40.86 | (c_Groups_Ozero__class_Ozero(v2) = v5 & % 258.27/40.86 | class_RealVector_Oreal__normed__vector(v2) = v4 & $i(v5) & ( ~ % 258.27/40.86 | (v4 = 0) | (( ~ (v5 = v1) | v3 = v0) & ( ~ (v3 = v0) | v5 = % 258.27/40.86 | v1)))))) % 258.27/40.86 | % 258.27/40.86 | ALPHA: (fact_norm__le__zero__iff) implies: % 258.27/40.86 | (14) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & % 258.27/40.86 | $i(v0) & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~ % 258.27/40.86 | (c_RealVector_Onorm__class_Onorm(v2, v1) = v3) | ~ $i(v2) | ~ % 258.27/40.86 | $i(v1) | ? [v4: any] : ? [v5: any] : ? [v6: $i] : % 258.27/40.86 | (c_Groups_Ozero__class_Ozero(v2) = v6 & % 258.27/40.86 | class_RealVector_Oreal__normed__vector(v2) = v4 & % 258.27/40.86 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v3, v0) = v5 % 258.27/40.86 | & $i(v6) & ( ~ (v4 = 0) | (( ~ (v6 = v1) | v5 = 0) & ( ~ (v5 = % 258.27/40.86 | 0) | v6 = v1)))))) % 258.27/40.86 | % 258.27/40.86 | ALPHA: (fact_norm__ge__zero) implies: % 258.27/40.86 | (15) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & % 258.27/40.86 | $i(v0) & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~ % 258.27/40.86 | (c_RealVector_Onorm__class_Onorm(v2, v1) = v3) | ~ $i(v2) | ~ % 258.27/40.86 | $i(v1) | ? [v4: any] : ? [v5: any] : % 258.27/40.86 | (class_RealVector_Oreal__normed__vector(v2) = v4 & % 258.27/40.86 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0, v3) = v5 % 258.27/40.86 | & ( ~ (v4 = 0) | v5 = 0)))) % 258.27/40.86 | % 258.27/40.86 | ALPHA: (fact__096_B_By_O_A_IEX_Az_Ax_O_Acmod_Az_A_060_061_Ar_A_G_A_N_A_I_N_Acmod_A_Ipoly_Ap_Az_J_J_A_060_Ay_J_A_061_A_I_N_As_A_060_Ay_J_096) % 258.27/40.86 | implies: % 258.27/40.86 | (16) ? [v0: $i] : ? [v1: $i] : % 258.27/40.86 | (c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v_s____) = v1 & % 258.27/40.86 | c_Polynomial_Opoly(tc_Complex_Ocomplex, v_p) = v0 & $i(v1) & $i(v0) % 258.27/40.86 | & ! [v2: $i] : ! [v3: int] : (v3 = 0 | ~ % 258.27/40.86 | (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v1, v2) = v3) | % 258.27/40.86 | ~ $i(v2) | ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : ! [v7: $i] : % 258.27/40.86 | ! [v8: $i] : ( ~ % 258.27/40.86 | (c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v7) = v8) | % 258.27/40.86 | ~ (c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v6) = v7) | % 258.27/40.86 | ~ (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v8, v2) = 0) % 258.27/40.86 | | ~ (c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v5) = % 258.27/40.86 | v6) | ~ (hAPP(v0, v4) = v5) | ~ $i(v4) | ? [v9: $i] : ? % 258.27/40.86 | [v10: int] : ( ~ (v10 = 0) & % 258.27/40.86 | c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v4) = v9 % 258.27/40.86 | & c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v9, v_r) % 258.27/40.86 | = v10 & $i(v9)))) & ! [v2: $i] : ( ~ % 258.27/40.86 | (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v1, v2) = 0) | ~ % 258.27/40.86 | $i(v2) | ? [v3: $i] : ? [v4: $i] : ? [v5: $i] : ? [v6: $i] : % 258.27/40.86 | ? [v7: $i] : ? [v8: $i] : % 258.27/40.86 | (c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v7) = v8 & % 258.27/40.86 | c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v6) = v7 & % 258.27/40.86 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v8, v2) = 0 & % 258.27/40.86 | c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v5) = v6 & % 258.27/40.86 | c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v3) = v4 & % 258.27/40.86 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v4, v_r) = 0 % 258.27/40.86 | & hAPP(v0, v3) = v5 & $i(v8) & $i(v7) & $i(v6) & $i(v5) & $i(v4) % 258.27/40.86 | & $i(v3)))) % 258.27/40.86 | % 258.27/40.86 | ALPHA: (fact_s1) implies: % 258.27/40.86 | (17) ? [v0: $i] : ? [v1: $i] : % 258.27/40.86 | (c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v_s____) = v1 & % 258.27/40.86 | c_Polynomial_Opoly(tc_Complex_Ocomplex, v_p) = v0 & $i(v1) & $i(v0) % 258.27/40.86 | & ! [v2: $i] : ! [v3: int] : (v3 = 0 | ~ % 258.27/40.86 | (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v1, v2) = v3) | % 258.27/40.86 | ~ $i(v2) | ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : ( ~ % 258.27/40.86 | (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v6, v2) = 0) | % 258.27/40.86 | ~ (c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v5) = % 258.27/40.86 | v6) | ~ (hAPP(v0, v4) = v5) | ~ $i(v4) | ? [v7: $i] : ? % 258.27/40.86 | [v8: int] : ( ~ (v8 = 0) & % 258.27/40.86 | c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v4) = v7 % 258.27/40.86 | & c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v7, v_r) % 258.27/40.86 | = v8 & $i(v7)))) & ! [v2: $i] : ( ~ % 258.27/40.86 | (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v1, v2) = 0) | ~ % 258.27/40.86 | $i(v2) | ? [v3: $i] : ? [v4: $i] : ? [v5: $i] : ? [v6: $i] : % 258.27/40.86 | (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v6, v2) = 0 & % 258.27/40.86 | c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v5) = v6 & % 258.27/40.86 | c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v3) = v4 & % 258.27/40.86 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v4, v_r) = 0 % 258.27/40.86 | & hAPP(v0, v3) = v5 & $i(v6) & $i(v5) & $i(v4) & $i(v3)))) % 258.27/40.86 | % 258.27/40.86 | ALPHA: (fact__096_IEX_Az_Ax_O_Acmod_Az_A_060_061_Ar_A_G_Acmod_A_Ipoly_Ap_Az_J_A_060_A_N_As_J_A_061_A_I_N_As_A_060_A_N_As_J_096) % 258.27/40.86 | implies: % 258.27/40.86 | (18) ? [v0: $i] : ? [v1: $i] : ? [v2: any] : % 258.27/40.86 | (c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v_s____) = v1 & % 258.27/40.86 | c_Polynomial_Opoly(tc_Complex_Ocomplex, v_p) = v0 & % 258.27/40.86 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v1, v1) = v2 & % 258.27/40.86 | $i(v1) & $i(v0) & ((v2 = 0 & ? [v3: $i] : ? [v4: $i] : ? [v5: $i] % 258.27/40.86 | : ? [v6: $i] : (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, % 258.27/40.86 | v6, v1) = 0 & % 258.27/40.86 | c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v5) = v6 % 258.27/40.86 | & c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v3) = % 258.27/40.86 | v4 & c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v4, % 258.27/40.86 | v_r) = 0 & hAPP(v0, v3) = v5 & $i(v6) & $i(v5) & $i(v4) & % 258.27/40.86 | $i(v3))) | ( ~ (v2 = 0) & ! [v3: $i] : ! [v4: $i] : ( ~ % 258.27/40.86 | (hAPP(v0, v3) = v4) | ~ $i(v3) | ? [v5: $i] : ? [v6: any] : % 258.27/40.86 | ? [v7: $i] : ? [v8: any] : % 258.27/40.86 | (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v7, v1) = v8 % 258.27/40.86 | & c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v4) = % 258.27/40.86 | v7 & c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, % 258.27/40.86 | v3) = v5 & % 258.27/40.86 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v5, v_r) % 258.27/40.86 | = v6 & $i(v7) & $i(v5) & ( ~ (v8 = 0) | ~ (v6 = 0))))))) % 258.27/40.86 | % 258.27/40.86 | ALPHA: (fact_mth2) implies: % 258.27/40.86 | (19) ? [v0: $i] : (c_Polynomial_Opoly(tc_Complex_Ocomplex, v_p) = v0 & % 258.27/40.86 | $i(v0) & ? [v1: $i] : ($i(v1) & ! [v2: $i] : ! [v3: $i] : ( ~ % 258.27/40.86 | (c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v2) = v3) | % 258.27/40.86 | ~ $i(v2) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v2, % 258.27/40.86 | v1) = 0 | ! [v4: $i] : ! [v5: $i] : ( ~ (hAPP(v0, v4) = v5) % 258.27/40.86 | | ~ $i(v4) | ? [v6: $i] : ? [v7: any] : ? [v8: $i] : % 258.27/40.86 | (c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v5) = v8 % 258.27/40.86 | & c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v4) = % 258.27/40.86 | v6 & c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v6, % 258.27/40.86 | v_r) = v7 & $i(v8) & $i(v6) & ( ~ (v8 = v3) | ~ (v7 = % 258.27/40.86 | 0))))))) % 258.27/40.86 | % 258.27/40.86 | ALPHA: (fact_calculation) implies: % 258.27/40.86 | (20) ? [v0: $i] : ? [v1: any] : ? [v2: $i] : % 258.27/40.86 | (c_Polynomial_Opoly(tc_Complex_Ocomplex, v_p) = v2 & % 258.27/40.86 | c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & % 258.27/40.86 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0, v_r) = v1 & % 258.27/40.86 | $i(v2) & $i(v0) & (v1 = 0 | ? [v3: $i] : ? [v4: $i] : ? [v5: $i] % 258.27/40.86 | : (c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v4) = v5 & % 258.27/40.86 | hAPP(v2, v3) = v4 & $i(v5) & $i(v4) & $i(v3) & ! [v6: $i] : ! % 258.27/40.86 | [v7: $i] : ! [v8: $i] : ! [v9: int] : (v9 = 0 | ~ % 258.27/40.86 | (c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v7) = % 258.27/40.86 | v8) | ~ % 258.27/40.86 | (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v5, v8) = % 258.27/40.86 | v9) | ~ (hAPP(v2, v6) = v7) | ~ $i(v6) | ? [v10: $i] : ? % 258.27/40.86 | [v11: int] : ( ~ (v11 = 0) & % 258.27/40.86 | c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v6) = % 258.27/40.86 | v10 & c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, % 258.27/40.86 | v10, v_r) = v11 & $i(v10)))))) % 258.27/40.86 | % 258.27/40.86 | ALPHA: (fact__096_B_Bz_Ax_O_A_091_124_Acmod_Az_A_060_061_Ar_059_Acmod_A_Ipoly_Ap_Az_J_A_061_A_N_Ax_059_A_126_Ax_A_060_A1_A_124_093_A_061_061_062_AFalse_096) % 258.27/40.86 | implies: % 258.27/40.87 | (21) ? [v0: $i] : ? [v1: $i] : % 258.27/40.87 | (c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = v1 & % 258.27/40.87 | c_Polynomial_Opoly(tc_Complex_Ocomplex, v_p) = v0 & $i(v1) & $i(v0) % 258.27/40.87 | & ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: int] : (v5 = 0 | % 258.27/40.87 | ~ (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v2, v1) = v5) % 258.27/40.87 | | ~ (hAPP(v0, v3) = v4) | ~ $i(v3) | ~ $i(v2) | ? [v6: $i] : % 258.27/40.87 | ? [v7: any] : ? [v8: $i] : ? [v9: $i] : % 258.27/40.87 | (c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v2) = v9 & % 258.27/40.87 | c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v4) = v8 & % 258.27/40.87 | c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v3) = v6 & % 258.27/40.87 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v6, v_r) = % 258.27/40.87 | v7 & $i(v9) & $i(v8) & $i(v6) & ( ~ (v9 = v8) | ~ (v7 = 0))))) % 258.27/40.87 | % 258.27/40.87 | ALPHA: (fact__096cmod_A0_A_060_061_Ar_A_G_Acmod_A_Ipoly_Ap_A0_J_A_061_A_N_A_I_N_Acmod_A_Ipoly_Ap_A0_J_J_096) % 258.27/40.87 | implies: % 258.27/40.87 | (22) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] : % 258.27/40.87 | ? [v5: $i] : (c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v5) = % 258.27/40.87 | v4 & c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v4) = v5 & % 258.27/40.87 | c_Polynomial_Opoly(tc_Complex_Ocomplex, v_p) = v2 & % 258.27/40.87 | c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = v0 & % 258.27/40.87 | c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v3) = v4 & % 258.27/40.87 | c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v0) = v1 & % 258.27/40.87 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v1, v_r) = 0 & % 258.27/40.87 | hAPP(v2, v0) = v3 & $i(v5) & $i(v4) & $i(v3) & $i(v2) & $i(v1) & % 258.27/40.87 | $i(v0)) % 258.27/40.87 | % 258.27/40.87 | ALPHA: (fact__096EX_As_O_AALL_Ay_O_A_IEX_Ax_O_A_IEX_Az_O_Acmod_Az_A_060_061_Ar_A_G_Acmod_A_Ipoly_Ap_Az_J_A_061_A_N_Ax_J_A_G_Ay_A_060_Ax_J_A_061_A_Iy_A_060_As_J_096) % 258.27/40.87 | implies: % 258.27/40.87 | (23) ? [v0: $i] : (c_Polynomial_Opoly(tc_Complex_Ocomplex, v_p) = v0 & % 258.27/40.87 | $i(v0) & ? [v1: $i] : ($i(v1) & ! [v2: $i] : ! [v3: int] : (v3 = % 258.27/40.87 | 0 | ~ (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v2, v1) % 258.27/40.87 | = v3) | ~ $i(v2) | ! [v4: $i] : ! [v5: $i] : ( ~ % 258.27/40.87 | (c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v4) = v5) | % 258.27/40.87 | ~ $i(v4) | ? [v6: int] : ( ~ (v6 = 0) & % 258.27/40.87 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v2, v4) = % 258.27/40.87 | v6) | ! [v6: $i] : ! [v7: $i] : ( ~ (hAPP(v0, v6) = v7) | % 258.27/40.87 | ~ $i(v6) | ? [v8: $i] : ? [v9: any] : ? [v10: $i] : % 258.27/40.87 | (c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v7) = % 258.27/40.87 | v10 & c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, % 258.27/40.87 | v6) = v8 & % 258.27/40.87 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v8, % 258.27/40.87 | v_r) = v9 & $i(v10) & $i(v8) & ( ~ (v10 = v5) | ~ (v9 = % 258.27/40.87 | 0)))))) & ! [v2: $i] : ( ~ % 258.27/40.87 | (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v2, v1) = 0) | % 258.27/40.87 | ~ $i(v2) | ? [v3: $i] : ? [v4: $i] : % 258.27/40.87 | (c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v3) = v4 & % 258.27/40.87 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v2, v3) = 0 & % 258.27/40.87 | $i(v4) & $i(v3) & ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : % 258.27/40.87 | (c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v7) = v4 % 258.27/40.87 | & c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v5) = % 258.27/40.87 | v6 & c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v6, % 258.27/40.87 | v_r) = 0 & hAPP(v0, v5) = v7 & $i(v7) & $i(v6) & % 258.27/40.87 | $i(v5)))))) % 258.27/40.87 | % 258.27/40.87 | ALPHA: (fact__096abs_A_Icmod_A_Ipoly_Ap_A_Ig_A_If_A_IN1_A_L_AN2_J_J_J_J_A_N_A_N_As_J_A_060_A1_A_P_Areal_A_ISuc_A_IN1_A_L_AN2_J_J_096) % 258.27/40.87 | implies: % 258.27/40.87 | (24) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] : % 258.27/40.87 | ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : ? [v8: $i] : ? [v9: $i] : % 258.27/40.87 | ? [v10: $i] : ? [v11: $i] : ? [v12: $i] : (c_Nat_OSuc(v1) = v10 & % 258.27/40.87 | c_RealDef_Oreal(tc_Nat_Onat, v10) = v11 & % 258.27/40.87 | c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, v9, v11) = v12 & % 258.27/40.87 | c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = v9 & % 258.27/40.87 | c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v_s____) = v6 & % 258.27/40.87 | c_Polynomial_Opoly(tc_Complex_Ocomplex, v_p) = v0 & % 258.27/40.87 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v8, v12) = 0 & % 258.27/40.87 | c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, v7) = v8 & % 258.27/40.87 | c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal, v5, v6) = v7 & % 258.27/40.87 | c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v_N1____, v_N2____) = v1 & % 258.27/40.87 | v_g____(v2) = v3 & % 258.27/40.87 | c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v4) = v5 & % 258.27/40.87 | hAPP(v0, v3) = v4 & hAPP(v_f____, v1) = v2 & $i(v12) & $i(v11) & % 258.27/40.87 | $i(v10) & $i(v9) & $i(v8) & $i(v7) & $i(v6) & $i(v5) & $i(v4) & % 258.27/40.87 | $i(v3) & $i(v2) & $i(v1) & $i(v0)) % 258.27/40.87 | % 258.27/40.87 | ALPHA: (fact_mth1) implies: % 258.27/40.87 | (25) ? [v0: $i] : (c_Polynomial_Opoly(tc_Complex_Ocomplex, v_p) = v0 & % 258.27/40.87 | $i(v0) & ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] : ? % 258.27/40.87 | [v5: $i] : (c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v1) = % 258.27/40.87 | v5 & c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v4) = v5 % 258.27/40.87 | & c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v2) = v3 & % 258.27/40.87 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v3, v_r) = 0 & % 258.27/40.87 | hAPP(v0, v2) = v4 & $i(v5) & $i(v4) & $i(v3) & $i(v2) & $i(v1))) % 258.27/40.87 | % 258.27/40.87 | ALPHA: (fact_g_I2_J) implies: % 258.27/40.87 | (26) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : % 258.27/40.87 | (c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = v2 & % 258.27/40.87 | c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v_s____) = v1 & % 258.27/40.87 | c_Polynomial_Opoly(tc_Complex_Ocomplex, v_p) = v0 & $i(v2) & $i(v1) % 258.27/40.87 | & $i(v0) & ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : % 258.27/40.87 | ! [v7: $i] : ! [v8: $i] : ! [v9: $i] : ! [v10: $i] : ! [v11: % 258.27/40.87 | int] : (v11 = 0 | ~ (c_Nat_OSuc(v3) = v7) | ~ % 258.27/40.87 | (c_RealDef_Oreal(tc_Nat_Onat, v7) = v8) | ~ % 258.27/40.87 | (c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, v2, v8) = v9) | % 258.27/40.87 | ~ (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v6, v10) = % 258.27/40.87 | v11) | ~ (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v1, v9) % 258.27/40.87 | = v10) | ~ (v_g____(v3) = v4) | ~ % 258.27/40.87 | (c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v5) = v6) | % 258.27/40.87 | ~ (hAPP(v0, v4) = v5) | ~ $i(v3))) % 258.27/40.87 | % 258.27/40.87 | ALPHA: (fact__0961_A_P_Areal_A_ISuc_A_If_A_IN1_A_L_AN2_J_J_J_A_060_061_A1_A_P_Areal_A_ISuc_A_IN1_A_L_AN2_J_J_096) % 258.27/40.87 | implies: % 258.27/40.87 | (27) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] : % 258.27/40.87 | ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : ? [v8: $i] : (c_Nat_OSuc(v2) % 258.27/40.87 | = v3 & c_Nat_OSuc(v1) = v6 & c_RealDef_Oreal(tc_Nat_Onat, v6) = v7 & % 258.27/40.87 | c_RealDef_Oreal(tc_Nat_Onat, v3) = v4 & % 258.27/40.87 | c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, v0, v7) = v8 & % 258.27/40.87 | c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, v0, v4) = v5 & % 258.27/40.87 | c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = v0 & % 258.27/40.87 | c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v_N1____, v_N2____) = v1 & % 258.27/40.87 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v5, v8) = 0 & % 258.27/40.87 | hAPP(v_f____, v1) = v2 & $i(v8) & $i(v7) & $i(v6) & $i(v5) & $i(v4) % 258.27/40.87 | & $i(v3) & $i(v2) & $i(v1) & $i(v0)) % 258.27/40.87 | % 258.27/40.87 | ALPHA: (fact_th00) implies: % 258.27/40.87 | (28) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] : % 258.27/40.87 | ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : ? [v8: $i] : ? [v9: $i] : % 258.27/40.87 | ? [v10: $i] : ? [v11: $i] : (c_Nat_OSuc(v3) = v4 & c_Nat_OSuc(v2) = % 258.27/40.87 | v8 & c_RealDef_Oreal(tc_Nat_Onat, v8) = v9 & % 258.27/40.87 | c_RealDef_Oreal(tc_Nat_Onat, v4) = v5 & % 258.27/40.87 | c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, v1, v9) = v10 & % 258.27/40.87 | c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, v1, v5) = v6 & % 258.27/40.87 | c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = v1 & % 258.27/40.87 | c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v_s____) = v0 & % 258.27/40.87 | c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v_N1____, v_N2____) = v2 & % 258.27/40.87 | c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v0, v10) = v11 & % 258.27/40.87 | c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v0, v6) = v7 & % 258.27/40.87 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v7, v11) = 0 & % 258.27/40.87 | hAPP(v_f____, v2) = v3 & $i(v11) & $i(v10) & $i(v9) & $i(v8) & % 258.27/40.87 | $i(v7) & $i(v6) & $i(v5) & $i(v4) & $i(v3) & $i(v2) & $i(v1) & % 258.27/40.87 | $i(v0)) % 258.27/40.87 | % 258.27/40.87 | ALPHA: (fact__096cmod_A_Ipoly_Ap_A_Ig_A_If_A_IN1_A_L_AN2_J_J_J_J_A_060_A_N_As_A_L_A1_A_P_Areal_A_ISuc_A_If_A_IN1_A_L_AN2_J_J_J_096) % 258.27/40.87 | implies: % 258.27/40.87 | (29) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] : % 258.27/40.87 | ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : ? [v8: $i] : ? [v9: $i] : % 258.27/40.87 | ? [v10: $i] : ? [v11: $i] : (c_Nat_OSuc(v2) = v8 & % 258.27/40.87 | c_RealDef_Oreal(tc_Nat_Onat, v8) = v9 & % 258.27/40.87 | c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, v7, v9) = v10 & % 258.27/40.87 | c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = v7 & % 258.27/40.87 | c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v_s____) = v6 & % 258.27/40.87 | c_Polynomial_Opoly(tc_Complex_Ocomplex, v_p) = v0 & % 258.27/40.87 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v5, v11) = 0 & % 258.27/40.87 | c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v_N1____, v_N2____) = v1 & % 258.27/40.87 | c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v6, v10) = v11 & % 258.27/40.87 | v_g____(v2) = v3 & % 258.27/40.87 | c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v4) = v5 & % 258.27/40.87 | hAPP(v0, v3) = v4 & hAPP(v_f____, v1) = v2 & $i(v11) & $i(v10) & % 258.27/40.87 | $i(v9) & $i(v8) & $i(v7) & $i(v6) & $i(v5) & $i(v4) & $i(v3) & % 258.27/40.87 | $i(v2) & $i(v1) & $i(v0)) % 258.27/40.87 | % 258.27/40.87 | ALPHA: (fact_th32) implies: % 258.66/40.87 | (30) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] : % 258.66/40.87 | ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : ? [v8: $i] : ? [v9: $i] : % 258.66/40.87 | ? [v10: $i] : ? [v11: $i] : (c_Nat_OSuc(v1) = v8 & % 258.66/40.87 | c_RealDef_Oreal(tc_Nat_Onat, v8) = v9 & % 258.66/40.87 | c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, v7, v9) = v10 & % 258.66/40.87 | c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = v7 & % 258.66/40.87 | c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v_s____) = v6 & % 258.66/40.87 | c_Polynomial_Opoly(tc_Complex_Ocomplex, v_p) = v0 & % 258.66/40.87 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v5, v11) = 0 & % 258.66/40.87 | c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v_N1____, v_N2____) = v1 & % 258.66/40.87 | c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v6, v10) = v11 & % 258.66/40.87 | v_g____(v2) = v3 & % 258.66/40.87 | c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v4) = v5 & % 258.66/40.87 | hAPP(v0, v3) = v4 & hAPP(v_f____, v1) = v2 & $i(v11) & $i(v10) & % 258.66/40.87 | $i(v9) & $i(v8) & $i(v7) & $i(v6) & $i(v5) & $i(v4) & $i(v3) & % 258.66/40.87 | $i(v2) & $i(v1) & $i(v0)) % 258.66/40.87 | % 258.66/40.87 | ALPHA: (fact_th) implies: % 258.66/40.87 | (31) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : % 258.66/40.87 | (c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = v2 & % 258.66/40.87 | c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v_s____) = v1 & % 258.66/40.87 | c_Polynomial_Opoly(tc_Complex_Ocomplex, v_p) = v0 & $i(v2) & $i(v1) % 258.66/40.87 | & $i(v0) & ! [v3: $i] : ! [v4: $i] : ( ~ (c_Nat_OSuc(v3) = v4) | % 258.66/40.87 | ~ $i(v3) | ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : % 258.66/40.87 | (c_RealDef_Oreal(tc_Nat_Onat, v4) = v5 & % 258.66/40.87 | c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, v2, v5) = v6 & % 258.66/40.87 | c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v1, v6) = v7 & % 258.66/40.87 | $i(v7) & $i(v6) & $i(v5) & ? [v8: $i] : ? [v9: $i] : ? [v10: % 258.66/40.87 | $i] : ? [v11: $i] : % 258.66/40.87 | (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v11, v7) = 0 & % 258.66/40.87 | c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v10) = % 258.66/40.87 | v11 & c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v8) % 258.66/40.87 | = v9 & c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v9, % 258.66/40.87 | v_r) = 0 & hAPP(v0, v8) = v10 & $i(v11) & $i(v10) & $i(v9) & % 258.66/40.87 | $i(v8))))) % 258.66/40.87 | % 258.66/40.87 | ALPHA: (fact__096_B_Bthesis_O_A_I_B_Bg_O_A_091_124_AALL_An_O_Acmod_A_Ig_An_J_A_060_061_Ar_059_AALL_An_O_Acmod_A_Ipoly_Ap_A_Ig_An_J_J_A_060_A_N_As_A_L_A1_A_P_Areal_A_ISuc_An_J_A_124_093_A_061_061_062_Athesis_J_A_061_061_062_Athesis_096) % 258.66/40.87 | implies: % 258.66/40.87 | (32) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : % 258.66/40.87 | (c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = v2 & % 258.66/40.87 | c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v_s____) = v1 & % 258.66/40.87 | c_Polynomial_Opoly(tc_Complex_Ocomplex, v_p) = v0 & $i(v2) & $i(v1) % 258.66/40.87 | & $i(v0) & ? [v3: $i] : ($i(v3) & ! [v4: $i] : ! [v5: $i] : ! % 258.66/40.87 | [v6: $i] : ! [v7: $i] : ! [v8: $i] : ! [v9: $i] : ! [v10: $i] % 258.66/40.87 | : ! [v11: $i] : ! [v12: int] : (v12 = 0 | ~ (c_Nat_OSuc(v4) = % 258.66/40.87 | v8) | ~ (c_RealDef_Oreal(tc_Nat_Onat, v8) = v9) | ~ % 258.66/40.87 | (c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, v2, v9) = % 258.66/40.87 | v10) | ~ (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v7, % 258.66/40.87 | v11) = v12) | ~ % 258.66/40.87 | (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v1, v10) = v11) | % 258.66/40.87 | ~ (c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v6) = % 258.66/40.87 | v7) | ~ (hAPP(v3, v4) = v5) | ~ (hAPP(v0, v5) = v6) | ~ % 258.66/40.87 | $i(v4)) & ! [v4: $i] : ! [v5: $i] : ( ~ (hAPP(v3, v4) = v5) | % 258.66/40.87 | ~ $i(v4) | ? [v6: $i] : % 258.66/40.87 | (c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v5) = v6 & % 258.66/40.87 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v6, v_r) = % 258.66/40.87 | 0 & $i(v6))))) % 258.66/40.87 | % 258.66/40.87 | ALPHA: (fact_complex__i__not__zero) implies: % 258.66/40.87 | (33) ? [v0: $i] : ( ~ (v0 = c_Complex_Oii) & % 258.66/40.87 | c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = v0 & $i(v0)) % 258.66/40.87 | % 258.66/40.87 | ALPHA: (fact_th2) implies: % 258.66/40.87 | (34) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] : % 258.66/40.87 | ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : ? [v8: $i] : ? [v9: $i] : % 258.66/40.87 | ? [v10: $i] : ? [v11: $i] : ? [v12: $i] : ? [v13: $i] : ? [v14: % 258.66/40.87 | $i] : ? [v15: $i] : (c_Int_OBit1(c_Int_OPls) = v12 & % 258.66/40.87 | c_Int_OBit0(v12) = v13 & % 258.66/40.87 | c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, v13) = v14 & % 258.66/40.87 | c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, v11, v14) = v15 & % 258.66/40.87 | c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v_s____) = v9 & % 258.66/40.87 | c_Polynomial_Opoly(tc_Complex_Ocomplex, v_p) = v0 & % 258.66/40.87 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v7, v15) = 0 & % 258.66/40.87 | c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, v10) = v11 & % 258.66/40.87 | c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex, v4, v5) = v6 & % 258.66/40.87 | c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal, v8, v9) = v10 & % 258.66/40.87 | c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v_N1____, v_N2____) = v1 & % 258.66/40.87 | v_g____(v2) = v3 & % 258.66/40.87 | c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v6) = v7 & % 258.66/40.87 | c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v5) = v8 & % 258.66/40.87 | hAPP(v0, v3) = v4 & hAPP(v0, v_z____) = v5 & hAPP(v_f____, v1) = v2 % 258.66/40.87 | & $i(v15) & $i(v14) & $i(v13) & $i(v12) & $i(v11) & $i(v10) & $i(v9) % 258.66/40.87 | & $i(v8) & $i(v7) & $i(v6) & $i(v5) & $i(v4) & $i(v3) & $i(v2) & % 258.66/40.87 | $i(v1) & $i(v0)) % 258.66/40.87 | % 258.66/40.87 | ALPHA: (fact_N2) implies: % 258.66/40.88 | (35) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] : % 258.66/40.88 | ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : ? [v8: $i] : ? [v9: $i] : % 258.66/40.88 | ? [v10: $i] : (c_Int_OBit1(c_Int_OPls) = v0 & c_Int_OBit0(v0) = v1 & % 258.66/40.88 | c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, v1) = v2 & % 258.66/40.88 | c_RealDef_Oreal(tc_Nat_Onat, v_N2____) = v10 & % 258.66/40.88 | c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, v2, v8) = v9 & % 258.66/40.88 | c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v_s____) = v6 & % 258.66/40.88 | c_Polynomial_Opoly(tc_Complex_Ocomplex, v_p) = v3 & % 258.66/40.88 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v9, v10) = 0 & % 258.66/40.88 | c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, v7) = v8 & % 258.66/40.88 | c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal, v5, v6) = v7 & % 258.66/40.88 | c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v4) = v5 & % 258.66/40.88 | hAPP(v3, v_z____) = v4 & $i(v10) & $i(v9) & $i(v8) & $i(v7) & $i(v6) % 258.66/40.88 | & $i(v5) & $i(v4) & $i(v3) & $i(v2) & $i(v1) & $i(v0)) % 258.66/40.88 | % 258.66/40.88 | ALPHA: (fact_d_I2_J) implies: % 258.66/40.88 | (36) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] : % 258.66/40.88 | ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : ? [v8: $i] : ? [v9: $i] : % 258.66/40.88 | ? [v10: $i] : (c_Int_OBit1(c_Int_OPls) = v7 & c_Int_OBit0(v7) = v8 & % 258.66/40.88 | c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, v8) = v9 & % 258.66/40.88 | c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, v6, v9) = v10 & % 258.66/40.88 | c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v_s____) = v4 & % 258.66/40.88 | c_Polynomial_Opoly(tc_Complex_Ocomplex, v_p) = v1 & % 258.66/40.88 | c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & % 258.66/40.88 | c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, v5) = v6 & % 258.66/40.88 | c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal, v3, v4) = v5 & % 258.66/40.88 | c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v2) = v3 & % 258.66/40.88 | hAPP(v1, v_z____) = v2 & $i(v10) & $i(v9) & $i(v8) & $i(v7) & $i(v6) % 258.66/40.88 | & $i(v5) & $i(v4) & $i(v3) & $i(v2) & $i(v1) & $i(v0) & ! [v11: $i] % 258.66/40.88 | : ! [v12: $i] : ( ~ (hAPP(v1, v11) = v12) | ~ $i(v11) | ? [v13: % 258.66/40.88 | $i] : ? [v14: $i] : ? [v15: any] : ? [v16: any] : ? [v17: % 258.66/40.88 | $i] : ? [v18: $i] : ? [v19: any] : % 258.66/40.88 | (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v18, v10) = v19 & % 258.66/40.88 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v14, v_d____) = % 258.66/40.88 | v16 & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v14) = % 258.66/40.88 | v15 & c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex, v12, % 258.66/40.88 | v2) = v17 & c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex, % 258.66/40.88 | v11, v_z____) = v13 & % 258.66/40.88 | c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v17) = v18 % 258.66/40.88 | & c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v13) = % 258.66/40.88 | v14 & $i(v18) & $i(v17) & $i(v14) & $i(v13) & ( ~ (v16 = 0) | ~ % 258.66/40.88 | (v15 = 0) | v19 = 0)))) % 258.66/40.88 | % 258.66/40.88 | ALPHA: (fact_e2) implies: % 258.66/40.88 | (37) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] : % 258.66/40.88 | ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : ? [v8: $i] : ? [v9: $i] : % 258.66/40.88 | ? [v10: $i] : (c_Int_OBit1(c_Int_OPls) = v7 & c_Int_OBit0(v7) = v8 & % 258.66/40.88 | c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, v8) = v9 & % 258.66/40.88 | c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, v6, v9) = v10 & % 258.66/40.88 | c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v_s____) = v4 & % 258.66/40.88 | c_Polynomial_Opoly(tc_Complex_Ocomplex, v_p) = v1 & % 258.66/40.88 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v10) = 0 & % 258.66/40.88 | c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & % 258.66/40.88 | c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, v5) = v6 & % 258.66/40.88 | c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal, v3, v4) = v5 & % 258.66/40.88 | c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v2) = v3 & % 258.66/40.88 | hAPP(v1, v_z____) = v2 & $i(v10) & $i(v9) & $i(v8) & $i(v7) & $i(v6) % 258.66/40.88 | & $i(v5) & $i(v4) & $i(v3) & $i(v2) & $i(v1) & $i(v0)) % 258.66/40.88 | % 258.66/40.88 | ALPHA: (fact_th1) implies: % 258.66/40.88 | (38) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] : % 258.66/40.88 | ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : ? [v8: $i] : ? [v9: $i] : % 258.66/40.88 | (c_Int_OBit1(c_Int_OPls) = v6 & c_Int_OBit0(v6) = v7 & % 258.66/40.88 | c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, v7) = v8 & % 258.66/40.88 | c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, v5, v8) = v9 & % 258.66/40.88 | c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v_s____) = v3 & % 258.66/40.88 | c_Polynomial_Opoly(tc_Complex_Ocomplex, v_p) = v0 & % 258.66/40.88 | c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, v4) = v5 & % 258.66/40.88 | c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal, v2, v3) = v4 & % 258.66/40.88 | c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v1) = v2 & % 258.66/40.88 | hAPP(v0, v_z____) = v1 & $i(v9) & $i(v8) & $i(v7) & $i(v6) & $i(v5) % 258.66/40.88 | & $i(v4) & $i(v3) & $i(v2) & $i(v1) & $i(v0) & ! [v10: $i] : ! % 258.66/40.88 | [v11: $i] : ( ~ (hAPP(v0, v10) = v11) | ~ $i(v10) | ? [v12: $i] : % 258.66/40.88 | ? [v13: $i] : ? [v14: any] : ? [v15: $i] : ? [v16: $i] : ? % 258.66/40.88 | [v17: any] : (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v16, % 258.66/40.88 | v9) = v17 & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, % 258.66/40.88 | v13, v_d____) = v14 & % 258.66/40.88 | c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex, v11, v1) = % 258.66/40.88 | v15 & c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex, v10, % 258.66/40.88 | v_z____) = v12 & % 258.66/40.88 | c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v15) = v16 % 258.66/40.88 | & c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v12) = % 258.66/40.88 | v13 & $i(v16) & $i(v15) & $i(v13) & $i(v12) & ( ~ (v14 = 0) | % 258.66/40.88 | v17 = 0)))) % 258.66/40.88 | % 258.66/40.88 | ALPHA: (fact__0962_A_P_Aabs_A_Icmod_A_Ipoly_Ap_Az_J_A_N_A_N_As_J_A_060_Areal_A_ISuc_A_IN1_A_L_AN2_J_J_096) % 258.66/40.88 | implies: % 258.66/40.88 | (39) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] : % 258.66/40.88 | ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : ? [v8: $i] : ? [v9: $i] : % 258.66/40.88 | ? [v10: $i] : ? [v11: $i] : ? [v12: $i] : (c_Int_OBit1(c_Int_OPls) = % 258.66/40.88 | v0 & c_Int_OBit0(v0) = v1 & % 258.66/40.88 | c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, v1) = v2 & % 258.66/40.88 | c_Nat_OSuc(v10) = v11 & c_RealDef_Oreal(tc_Nat_Onat, v11) = v12 & % 258.66/40.88 | c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, v2, v8) = v9 & % 258.66/40.88 | c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v_s____) = v6 & % 258.66/40.88 | c_Polynomial_Opoly(tc_Complex_Ocomplex, v_p) = v3 & % 258.66/40.88 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v9, v12) = 0 & % 258.66/40.88 | c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, v7) = v8 & % 258.66/40.88 | c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal, v5, v6) = v7 & % 258.66/40.88 | c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v_N1____, v_N2____) = v10 & % 258.66/40.88 | c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v4) = v5 & % 258.66/40.88 | hAPP(v3, v_z____) = v4 & $i(v12) & $i(v11) & $i(v10) & $i(v9) & % 258.66/40.88 | $i(v8) & $i(v7) & $i(v6) & $i(v5) & $i(v4) & $i(v3) & $i(v2) & % 258.66/40.88 | $i(v1) & $i(v0)) % 258.66/40.88 | % 258.66/40.88 | ALPHA: (fact__0961_A_P_Areal_A_ISuc_A_IN1_A_L_AN2_J_J_A_060_Aabs_A_Icmod_A_Ipoly_Ap_Az_J_A_N_A_N_As_J_A_P_A2_096) % 258.66/40.88 | implies: % 258.66/40.88 | (40) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] : % 258.66/40.88 | ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : ? [v8: $i] : ? [v9: $i] : % 258.66/40.88 | ? [v10: $i] : ? [v11: $i] : ? [v12: $i] : ? [v13: $i] : ? [v14: % 258.66/40.88 | $i] : (c_Int_OBit1(c_Int_OPls) = v11 & c_Int_OBit0(v11) = v12 & % 258.66/40.88 | c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, v12) = v13 & % 258.66/40.88 | c_Nat_OSuc(v1) = v2 & c_RealDef_Oreal(tc_Nat_Onat, v2) = v3 & % 258.66/40.88 | c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, v10, v13) = v14 & % 258.66/40.88 | c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, v0, v3) = v4 & % 258.66/40.88 | c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = v0 & % 258.66/40.88 | c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v_s____) = v8 & % 258.66/40.88 | c_Polynomial_Opoly(tc_Complex_Ocomplex, v_p) = v5 & % 258.66/40.88 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v4, v14) = 0 & % 258.66/40.88 | c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, v9) = v10 & % 258.66/40.88 | c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal, v7, v8) = v9 & % 258.66/40.88 | c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v_N1____, v_N2____) = v1 & % 258.66/40.88 | c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v6) = v7 & % 258.66/40.88 | hAPP(v5, v_z____) = v6 & $i(v14) & $i(v13) & $i(v12) & $i(v11) & % 258.66/40.88 | $i(v10) & $i(v9) & $i(v8) & $i(v7) & $i(v6) & $i(v5) & $i(v4) & % 258.66/40.88 | $i(v3) & $i(v2) & $i(v1) & $i(v0)) % 258.66/40.88 | % 258.66/40.88 | ALPHA: (fact_thc1) implies: % 258.66/40.88 | (41) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] : % 258.66/40.88 | ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : ? [v8: $i] : ? [v9: $i] : % 258.66/40.88 | ? [v10: $i] : ? [v11: $i] : ? [v12: $i] : ? [v13: $i] : ? [v14: % 258.66/40.88 | $i] : ? [v15: $i] : ? [v16: $i] : (c_Int_OBit1(c_Int_OPls) = v13 & % 258.66/40.88 | c_Int_OBit0(v13) = v14 & % 258.66/40.88 | c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, v14) = v15 & % 258.66/40.88 | c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, v12, v15) = v16 & % 258.66/40.88 | c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v_s____) = v6 & % 258.66/40.88 | c_Polynomial_Opoly(tc_Complex_Ocomplex, v_p) = v0 & % 258.66/40.88 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v8, v16) = 0 & % 258.66/40.88 | c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, v11) = v12 & % 258.66/40.88 | c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, v7) = v8 & % 258.66/40.88 | c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal, v10, v6) = v11 & % 258.66/40.88 | c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal, v5, v6) = v7 & % 258.66/40.88 | c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v_N1____, v_N2____) = v1 & % 258.66/40.88 | v_g____(v2) = v3 & % 258.66/40.88 | c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v9) = v10 & % 258.66/40.88 | c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v4) = v5 & % 258.66/40.88 | hAPP(v0, v3) = v4 & hAPP(v0, v_z____) = v9 & hAPP(v_f____, v1) = v2 % 258.66/40.88 | & $i(v16) & $i(v15) & $i(v14) & $i(v13) & $i(v12) & $i(v11) & % 258.66/40.88 | $i(v10) & $i(v9) & $i(v8) & $i(v7) & $i(v6) & $i(v5) & $i(v4) & % 258.66/40.88 | $i(v3) & $i(v2) & $i(v1) & $i(v0)) % 258.66/40.88 | % 258.66/40.88 | ALPHA: (fact__096EX_Ad_0620_O_AALL_Aw_O_A0_A_060_Acmod_A_Iw_A_N_Az_J_A_G_Acmod_A_Iw_A_N_Az_J_A_060_Ad_A_N_N_062_Acmod_A_Ipoly_Ap_Aw_A_N_Apoly_Ap_Az_J_A_060_Aabs_A_Icmod_A_Ipoly_Ap_Az_J_A_N_A_N_As_J_A_P_A2_096) % 258.66/40.88 | implies: % 258.66/40.89 | (42) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] : % 258.66/40.89 | ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : ? [v8: $i] : ? [v9: $i] : % 258.66/40.89 | ? [v10: $i] : (c_Int_OBit1(c_Int_OPls) = v7 & c_Int_OBit0(v7) = v8 & % 258.66/40.89 | c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, v8) = v9 & % 258.66/40.89 | c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, v6, v9) = v10 & % 258.66/40.89 | c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v_s____) = v4 & % 258.66/40.89 | c_Polynomial_Opoly(tc_Complex_Ocomplex, v_p) = v1 & % 258.66/40.89 | c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & % 258.66/40.89 | c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, v5) = v6 & % 258.66/40.89 | c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal, v3, v4) = v5 & % 258.66/40.89 | c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v2) = v3 & % 258.66/40.89 | hAPP(v1, v_z____) = v2 & $i(v10) & $i(v9) & $i(v8) & $i(v7) & $i(v6) % 258.66/40.89 | & $i(v5) & $i(v4) & $i(v3) & $i(v2) & $i(v1) & $i(v0) & ? [v11: $i] % 258.66/40.89 | : (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v11) = 0 & % 258.66/40.89 | $i(v11) & ! [v12: $i] : ! [v13: $i] : ! [v14: $i] : ( ~ % 258.66/40.89 | (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v14, v11) = 0) % 258.66/40.89 | | ~ (c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex, v12, % 258.66/40.89 | v_z____) = v13) | ~ % 258.66/40.89 | (c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v13) = % 258.66/40.89 | v14) | ~ $i(v12) | ? [v15: any] : ? [v16: $i] : ? [v17: % 258.66/40.89 | $i] : ? [v18: $i] : ? [v19: any] : % 258.66/40.89 | (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v18, v10) = v19 % 258.66/40.89 | & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v14) = % 258.66/40.89 | v15 & c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex, v16, % 258.66/40.89 | v2) = v17 & % 258.66/40.89 | c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v17) = % 258.66/40.89 | v18 & hAPP(v1, v12) = v16 & $i(v18) & $i(v17) & $i(v16) & ( ~ % 258.66/40.89 | (v15 = 0) | v19 = 0))))) % 258.66/40.89 | % 258.66/40.89 | ALPHA: (fact__096_B_Bthesis_O_A_I_B_BN2_O_A2_A_P_Aabs_A_Icmod_A_Ipoly_Ap_Az_J_A_N_A_N_As_J_A_060_Areal_AN2_A_061_061_062_Athesis_J_A_061_061_062_Athesis_096) % 258.66/40.89 | implies: % 258.66/40.89 | (43) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] : % 258.66/40.89 | ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : ? [v8: $i] : ? [v9: $i] : % 258.66/40.89 | (c_Int_OBit1(c_Int_OPls) = v0 & c_Int_OBit0(v0) = v1 & % 258.66/40.89 | c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, v1) = v2 & % 258.66/40.89 | c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, v2, v8) = v9 & % 258.66/40.89 | c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v_s____) = v6 & % 258.66/40.89 | c_Polynomial_Opoly(tc_Complex_Ocomplex, v_p) = v3 & % 258.66/40.89 | c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, v7) = v8 & % 258.66/40.89 | c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal, v5, v6) = v7 & % 258.66/40.89 | c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v4) = v5 & % 258.66/40.89 | hAPP(v3, v_z____) = v4 & $i(v9) & $i(v8) & $i(v7) & $i(v6) & $i(v5) % 258.66/40.89 | & $i(v4) & $i(v3) & $i(v2) & $i(v1) & $i(v0) & ? [v10: $i] : ? % 258.66/40.89 | [v11: $i] : (c_RealDef_Oreal(tc_Nat_Onat, v10) = v11 & % 258.66/40.89 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v9, v11) = 0 & % 258.66/40.89 | $i(v11) & $i(v10))) % 258.66/40.89 | % 258.66/40.89 | ALPHA: (fact__096_091_124_A2_A_P_Aabs_A_Icmod_A_Ipoly_Ap_Az_J_A_N_A_N_As_J_A_060_Areal_A_ISuc_A_IN1_A_L_AN2_J_J_059_A0_A_060_A2_A_P_Aabs_A_Icmod_A_Ipoly_Ap_Az_J_A_N_A_N_As_J_A_124_093_061_061_062_Ainverse_A_Ireal_A_ISuc_A_IN1_A_L_AN2_J_J_J_A_060_Ainverse_A_I2_A_P_Aabs_A_Icmod_A_Ipoly_Ap_Az_J_A_N_A_N_As_J_J_096) % 258.66/40.89 | implies: % 258.66/40.89 | (44) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] : % 258.66/40.89 | ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : ? [v8: $i] : ? [v9: $i] : % 258.66/40.89 | ? [v10: $i] : ? [v11: $i] : ? [v12: $i] : ? [v13: any] : ? [v14: % 258.66/40.89 | $i] : ? [v15: any] : ? [v16: $i] : ? [v17: $i] : ? [v18: any] : % 258.66/40.89 | (c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal, v12) = v16 & % 258.66/40.89 | c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal, v9) = v17 & % 258.66/40.89 | c_Int_OBit1(c_Int_OPls) = v0 & c_Int_OBit0(v0) = v1 & % 258.66/40.89 | c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, v1) = v2 & % 258.66/40.89 | c_Nat_OSuc(v10) = v11 & c_RealDef_Oreal(tc_Nat_Onat, v11) = v12 & % 258.66/40.89 | c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, v2, v8) = v9 & % 258.66/40.89 | c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v_s____) = v6 & % 258.66/40.89 | c_Polynomial_Opoly(tc_Complex_Ocomplex, v_p) = v3 & % 258.66/40.89 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v16, v17) = v18 & % 258.66/40.89 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v14, v9) = v15 & % 258.66/40.89 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v9, v12) = v13 & % 258.66/40.89 | c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v14 & % 258.66/40.89 | c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, v7) = v8 & % 258.66/40.89 | c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal, v5, v6) = v7 & % 258.66/40.89 | c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v_N1____, v_N2____) = v10 & % 258.66/40.89 | c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v4) = v5 & % 258.66/40.89 | hAPP(v3, v_z____) = v4 & $i(v17) & $i(v16) & $i(v14) & $i(v12) & % 258.66/40.89 | $i(v11) & $i(v10) & $i(v9) & $i(v8) & $i(v7) & $i(v6) & $i(v5) & % 258.66/40.89 | $i(v4) & $i(v3) & $i(v2) & $i(v1) & $i(v0) & ( ~ (v15 = 0) | ~ (v13 % 258.66/40.89 | = 0) | v18 = 0)) % 258.66/40.89 | % 258.66/40.89 | ALPHA: (arity_Complex__Ocomplex__RealVector_Oreal__normed__vector) implies: % 258.66/40.89 | (45) class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex) = 0 % 258.66/40.89 | % 258.66/40.89 | ALPHA: (conj_0) implies: % 258.66/40.89 | (46) $i(tc_Complex_Ocomplex) % 258.66/40.89 | (47) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] : % 258.66/40.89 | ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : ? [v8: $i] : ? [v9: $i] : % 258.66/40.89 | ? [v10: $i] : ? [v11: $i] : ? [v12: int] : ( ~ (v12 = 0) & % 258.66/40.89 | c_Polynomial_Opoly(tc_Complex_Ocomplex, v_p) = v0 & % 258.66/40.89 | c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, v8) = v9 & % 258.66/40.89 | c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex, v4, v6) = v10 & % 258.66/40.89 | c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal, v5, v7) = v8 & % 258.66/40.89 | c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v_N1____, v_N2____) = v1 & % 258.66/40.89 | v_g____(v2) = v3 & % 258.66/40.89 | c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v10) = v11 & % 258.66/40.89 | c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v6) = v7 & % 258.66/40.89 | c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v4) = v5 & % 258.66/40.89 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v9, v11) = v12 & % 258.66/40.89 | hAPP(v0, v3) = v4 & hAPP(v0, v_z____) = v6 & hAPP(v_f____, v1) = v2 % 258.66/40.89 | & $i(v11) & $i(v10) & $i(v9) & $i(v8) & $i(v7) & $i(v6) & $i(v5) & % 258.66/40.89 | $i(v4) & $i(v3) & $i(v2) & $i(v1) & $i(v0)) % 258.66/40.89 | % 258.66/40.89 | ALPHA: (function-axioms) implies: % 258.66/40.89 | (48) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (v_g____(v2) = % 258.66/40.89 | v1) | ~ (v_g____(v2) = v0)) % 258.66/40.89 | (49) ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] % 258.66/40.89 | : (v1 = v0 | ~ (class_RealVector_Oreal__normed__vector(v2) = v1) | ~ % 258.66/40.89 | (class_RealVector_Oreal__normed__vector(v2) = v0)) % 258.66/40.89 | (50) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ % 258.66/40.89 | (c_Groups_Ozero__class_Ozero(v2) = v1) | ~ % 258.66/40.89 | (c_Groups_Ozero__class_Ozero(v2) = v0)) % 258.66/40.89 | (51) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 258.66/40.89 | (hAPP(v3, v2) = v1) | ~ (hAPP(v3, v2) = v0)) % 258.66/40.89 | (52) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 258.66/40.89 | (c_RealVector_Onorm__class_Onorm(v3, v2) = v1) | ~ % 258.66/40.89 | (c_RealVector_Onorm__class_Onorm(v3, v2) = v0)) % 258.66/40.89 | (53) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 258.66/40.89 | (c_Polynomial_Opoly(v3, v2) = v1) | ~ (c_Polynomial_Opoly(v3, v2) = % 258.66/40.89 | v0)) % 258.66/40.89 | (54) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : % 258.66/40.89 | (v1 = v0 | ~ (c_Groups_Oplus__class_Oplus(v4, v3, v2) = v1) | ~ % 258.66/40.89 | (c_Groups_Oplus__class_Oplus(v4, v3, v2) = v0)) % 258.66/40.89 | (55) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : % 258.66/40.89 | (v1 = v0 | ~ (c_Groups_Ominus__class_Ominus(v4, v3, v2) = v1) | ~ % 258.66/40.89 | (c_Groups_Ominus__class_Ominus(v4, v3, v2) = v0)) % 258.66/40.89 | % 258.66/40.89 | DELTA: instantiating (2) with fresh symbol all_972_0 gives: % 258.66/40.89 | (56) c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v_w____) = % 258.66/40.89 | all_972_0 & c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, % 258.66/40.89 | all_972_0, v_r) = 0 & $i(all_972_0) % 258.66/40.89 | % 258.66/40.89 | ALPHA: (56) implies: % 258.66/40.89 | (57) c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v_w____) = % 258.66/40.89 | all_972_0 % 258.66/40.89 | % 258.66/40.89 | DELTA: instantiating (33) with fresh symbol all_978_0 gives: % 258.66/40.89 | (58) ~ (all_978_0 = c_Complex_Oii) & % 258.66/40.89 | c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = all_978_0 & % 258.66/40.89 | $i(all_978_0) % 258.66/40.89 | % 258.66/40.89 | ALPHA: (58) implies: % 258.66/40.89 | (59) c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = all_978_0 % 258.66/40.89 | % 258.66/40.89 | DELTA: instantiating (3) with fresh symbols all_1098_0, all_1098_1 gives: % 258.66/40.89 | (60) c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v_N1____, v_N2____) = % 258.66/40.89 | all_1098_1 & c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, % 258.66/40.89 | all_1098_1, all_1098_0) = 0 & hAPP(v_f____, all_1098_1) = all_1098_0 % 258.66/40.89 | & $i(all_1098_0) & $i(all_1098_1) % 258.66/40.89 | % 258.66/40.89 | ALPHA: (60) implies: % 258.66/40.90 | (61) hAPP(v_f____, all_1098_1) = all_1098_0 % 258.66/40.90 | (62) c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v_N1____, v_N2____) = % 258.66/40.90 | all_1098_1 % 258.66/40.90 | % 258.66/40.90 | DELTA: instantiating (15) with fresh symbol all_1199_0 gives: % 258.66/40.90 | (63) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1199_0 & % 258.66/40.90 | $i(all_1199_0) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ % 258.66/40.90 | (c_RealVector_Onorm__class_Onorm(v1, v0) = v2) | ~ $i(v1) | ~ % 258.66/40.90 | $i(v0) | ? [v3: any] : ? [v4: any] : % 258.66/40.90 | (class_RealVector_Oreal__normed__vector(v1) = v3 & % 258.66/40.90 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_1199_0, % 258.66/40.90 | v2) = v4 & ( ~ (v3 = 0) | v4 = 0))) % 258.66/40.90 | % 258.66/40.90 | ALPHA: (63) implies: % 258.66/40.90 | (64) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ % 258.66/40.90 | (c_RealVector_Onorm__class_Onorm(v1, v0) = v2) | ~ $i(v1) | ~ % 258.66/40.90 | $i(v0) | ? [v3: any] : ? [v4: any] : % 258.66/40.90 | (class_RealVector_Oreal__normed__vector(v1) = v3 & % 258.66/40.90 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_1199_0, % 258.66/40.90 | v2) = v4 & ( ~ (v3 = 0) | v4 = 0))) % 258.66/40.90 | % 258.66/40.90 | DELTA: instantiating (12) with fresh symbol all_1217_0 gives: % 258.66/40.90 | (65) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1217_0 & % 258.66/40.90 | $i(all_1217_0) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ % 258.66/40.90 | (c_RealVector_Onorm__class_Onorm(v1, v0) = v2) | ~ $i(v1) | ~ % 258.66/40.90 | $i(v0) | ? [v3: any] : ? [v4: any] : % 258.66/40.90 | (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v2, all_1217_0) = % 258.66/40.90 | v4 & class_RealVector_Oreal__normed__vector(v1) = v3 & ( ~ (v4 = % 258.66/40.90 | 0) | ~ (v3 = 0)))) % 258.66/40.90 | % 258.66/40.90 | ALPHA: (65) implies: % 258.66/40.90 | (66) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ % 258.66/40.90 | (c_RealVector_Onorm__class_Onorm(v1, v0) = v2) | ~ $i(v1) | ~ % 258.66/40.90 | $i(v0) | ? [v3: any] : ? [v4: any] : % 258.66/40.90 | (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v2, all_1217_0) = % 258.66/40.90 | v4 & class_RealVector_Oreal__normed__vector(v1) = v3 & ( ~ (v4 = % 258.66/40.90 | 0) | ~ (v3 = 0)))) % 258.66/40.90 | % 258.66/40.90 | DELTA: instantiating (9) with fresh symbols all_1285_0, all_1285_1 gives: % 258.66/40.90 | (67) c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v_s____) = % 258.66/40.90 | all_1285_1 & c_Polynomial_Opoly(tc_Complex_Ocomplex, v_p) = all_1285_0 % 258.66/40.90 | & $i(all_1285_0) & $i(all_1285_1) & ! [v0: $i] : ! [v1: $i] : ( ~ % 258.66/40.90 | (v_g____(v0) = v1) | ~ $i(v0) | ? [v2: $i] : ? [v3: $i] : % 258.66/40.90 | (c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v2) = v3 & % 258.66/40.90 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_1285_1, % 258.66/40.90 | v3) = 0 & hAPP(all_1285_0, v1) = v2 & $i(v3) & $i(v2))) % 258.66/40.90 | % 258.66/40.90 | ALPHA: (67) implies: % 258.66/40.90 | (68) c_Polynomial_Opoly(tc_Complex_Ocomplex, v_p) = all_1285_0 % 258.66/40.90 | % 258.66/40.90 | DELTA: instantiating (25) with fresh symbol all_1335_0 gives: % 258.66/40.90 | (69) c_Polynomial_Opoly(tc_Complex_Ocomplex, v_p) = all_1335_0 & % 258.66/40.90 | $i(all_1335_0) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] % 258.66/40.90 | : ? [v4: $i] : (c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v0) % 258.66/40.90 | = v4 & c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v3) = v4 % 258.66/40.90 | & c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v1) = v2 & % 258.66/40.90 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v2, v_r) = 0 & % 258.66/40.90 | hAPP(all_1335_0, v1) = v3 & $i(v4) & $i(v3) & $i(v2) & $i(v1) & % 258.66/40.90 | $i(v0)) % 258.66/40.90 | % 258.66/40.90 | ALPHA: (69) implies: % 258.77/40.90 | (70) c_Polynomial_Opoly(tc_Complex_Ocomplex, v_p) = all_1335_0 % 258.77/40.90 | (71) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] : % 258.77/40.90 | (c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v0) = v4 & % 258.77/40.90 | c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v3) = v4 & % 258.77/40.90 | c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v1) = v2 & % 258.77/40.90 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v2, v_r) = 0 & % 258.77/40.90 | hAPP(all_1335_0, v1) = v3 & $i(v4) & $i(v3) & $i(v2) & $i(v1) & % 258.77/40.90 | $i(v0)) % 258.77/40.90 | % 258.77/40.90 | DELTA: instantiating (13) with fresh symbol all_1358_0 gives: % 258.77/40.90 | (72) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1358_0 & % 258.77/40.90 | $i(all_1358_0) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ % 258.77/40.90 | (c_RealVector_Onorm__class_Onorm(v1, v0) = v2) | ~ $i(v1) | ~ % 258.77/40.90 | $i(v0) | ? [v3: any] : ? [v4: $i] : % 258.77/40.90 | (c_Groups_Ozero__class_Ozero(v1) = v4 & % 258.77/40.90 | class_RealVector_Oreal__normed__vector(v1) = v3 & $i(v4) & ( ~ (v3 % 258.77/40.90 | = 0) | (( ~ (v4 = v0) | v2 = all_1358_0) & ( ~ (v2 = % 258.77/40.90 | all_1358_0) | v4 = v0))))) % 258.77/40.90 | % 258.77/40.90 | ALPHA: (72) implies: % 258.77/40.90 | (73) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ % 258.77/40.90 | (c_RealVector_Onorm__class_Onorm(v1, v0) = v2) | ~ $i(v1) | ~ % 258.77/40.90 | $i(v0) | ? [v3: any] : ? [v4: $i] : % 258.77/40.90 | (c_Groups_Ozero__class_Ozero(v1) = v4 & % 258.77/40.90 | class_RealVector_Oreal__normed__vector(v1) = v3 & $i(v4) & ( ~ (v3 % 258.77/40.90 | = 0) | (( ~ (v4 = v0) | v2 = all_1358_0) & ( ~ (v2 = % 258.77/40.90 | all_1358_0) | v4 = v0))))) % 258.77/40.90 | % 258.77/40.90 | DELTA: instantiating (14) with fresh symbol all_1396_0 gives: % 258.77/40.90 | (74) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1396_0 & % 258.77/40.90 | $i(all_1396_0) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ % 258.77/40.90 | (c_RealVector_Onorm__class_Onorm(v1, v0) = v2) | ~ $i(v1) | ~ % 258.77/40.90 | $i(v0) | ? [v3: any] : ? [v4: any] : ? [v5: $i] : % 258.77/40.90 | (c_Groups_Ozero__class_Ozero(v1) = v5 & % 258.77/40.90 | class_RealVector_Oreal__normed__vector(v1) = v3 & % 258.77/40.90 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v2, % 258.77/40.90 | all_1396_0) = v4 & $i(v5) & ( ~ (v3 = 0) | (( ~ (v5 = v0) | v4 = % 258.77/40.90 | 0) & ( ~ (v4 = 0) | v5 = v0))))) % 258.77/40.90 | % 258.77/40.90 | ALPHA: (74) implies: % 258.77/40.90 | (75) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ % 258.77/40.90 | (c_RealVector_Onorm__class_Onorm(v1, v0) = v2) | ~ $i(v1) | ~ % 258.77/40.90 | $i(v0) | ? [v3: any] : ? [v4: any] : ? [v5: $i] : % 258.77/40.90 | (c_Groups_Ozero__class_Ozero(v1) = v5 & % 258.77/40.90 | class_RealVector_Oreal__normed__vector(v1) = v3 & % 258.77/40.90 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v2, % 258.77/40.90 | all_1396_0) = v4 & $i(v5) & ( ~ (v3 = 0) | (( ~ (v5 = v0) | v4 = % 258.77/40.90 | 0) & ( ~ (v4 = 0) | v5 = v0))))) % 258.77/40.90 | % 258.77/40.90 | DELTA: instantiating (22) with fresh symbols all_1408_0, all_1408_1, % 258.77/40.90 | all_1408_2, all_1408_3, all_1408_4, all_1408_5 gives: % 258.77/40.90 | (76) c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, all_1408_0) = % 258.77/40.90 | all_1408_1 & c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, % 258.77/40.90 | all_1408_1) = all_1408_0 & c_Polynomial_Opoly(tc_Complex_Ocomplex, % 258.77/40.90 | v_p) = all_1408_3 & c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) % 258.77/40.90 | = all_1408_5 & c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, % 258.77/40.90 | all_1408_2) = all_1408_1 & % 258.77/40.90 | c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, all_1408_5) = % 258.77/40.90 | all_1408_4 & c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, % 258.77/40.90 | all_1408_4, v_r) = 0 & hAPP(all_1408_3, all_1408_5) = all_1408_2 & % 258.77/40.90 | $i(all_1408_0) & $i(all_1408_1) & $i(all_1408_2) & $i(all_1408_3) & % 258.77/40.90 | $i(all_1408_4) & $i(all_1408_5) % 258.77/40.90 | % 258.77/40.90 | ALPHA: (76) implies: % 258.77/40.90 | (77) $i(all_1408_5) % 258.77/40.90 | (78) $i(all_1408_2) % 258.77/40.90 | (79) c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, all_1408_5) = % 258.77/40.90 | all_1408_4 % 258.77/40.90 | (80) c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, all_1408_2) = % 258.77/40.90 | all_1408_1 % 258.77/40.90 | (81) c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = all_1408_5 % 258.77/40.90 | (82) c_Polynomial_Opoly(tc_Complex_Ocomplex, v_p) = all_1408_3 % 258.77/40.90 | % 258.77/40.90 | DELTA: instantiating (8) with fresh symbols all_1410_0, all_1410_1 gives: % 258.77/40.90 | (83) c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v_s____) = % 258.77/40.90 | all_1410_1 & c_Polynomial_Opoly(tc_Complex_Ocomplex, v_p) = all_1410_0 % 258.77/40.90 | & $i(all_1410_0) & $i(all_1410_1) & ! [v0: $i] : ! [v1: $i] : ( ~ % 258.77/40.90 | (hAPP(all_1410_0, v0) = v1) | ~ $i(v0) | ? [v2: $i] : ? [v3: any] % 258.77/40.90 | : ? [v4: $i] : ? [v5: any] : % 258.77/40.90 | (c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v1) = v4 & % 258.77/40.90 | c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v0) = v2 & % 258.77/40.90 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v2, v_r) = v3 % 258.77/40.90 | & c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_1410_1, % 258.77/40.90 | v4) = v5 & $i(v4) & $i(v2) & ( ~ (v3 = 0) | v5 = 0))) % 258.77/40.90 | % 258.77/40.90 | ALPHA: (83) implies: % 258.77/40.90 | (84) c_Polynomial_Opoly(tc_Complex_Ocomplex, v_p) = all_1410_0 % 258.77/40.90 | % 258.77/40.90 | DELTA: instantiating (11) with fresh symbol all_1416_0 gives: % 258.77/40.91 | (85) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1416_0 & % 258.77/40.91 | $i(all_1416_0) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ % 258.77/40.91 | (c_RealVector_Onorm__class_Onorm(v1, v0) = v2) | ~ $i(v1) | ~ % 258.77/40.91 | $i(v0) | ? [v3: any] : ? [v4: any] : ? [v5: $i] : % 258.77/40.91 | (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1416_0, v2) = % 258.77/40.91 | v4 & c_Groups_Ozero__class_Ozero(v1) = v5 & % 258.77/40.91 | class_RealVector_Oreal__normed__vector(v1) = v3 & $i(v5) & ( ~ (v3 % 258.77/40.91 | = 0) | (( ~ (v5 = v0) | ~ (v4 = 0)) & (v5 = v0 | v4 = 0))))) % 258.77/40.91 | % 258.77/40.91 | ALPHA: (85) implies: % 258.77/40.91 | (86) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ % 258.77/40.91 | (c_RealVector_Onorm__class_Onorm(v1, v0) = v2) | ~ $i(v1) | ~ % 258.77/40.91 | $i(v0) | ? [v3: any] : ? [v4: any] : ? [v5: $i] : % 258.77/40.91 | (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1416_0, v2) = % 258.77/40.91 | v4 & c_Groups_Ozero__class_Ozero(v1) = v5 & % 258.77/40.91 | class_RealVector_Oreal__normed__vector(v1) = v3 & $i(v5) & ( ~ (v3 % 258.77/40.91 | = 0) | (( ~ (v5 = v0) | ~ (v4 = 0)) & (v5 = v0 | v4 = 0))))) % 258.77/40.91 | % 258.77/40.91 | DELTA: instantiating (7) with fresh symbols all_1437_0, all_1437_1, % 258.77/40.91 | all_1437_2, all_1437_3, all_1437_4, all_1437_5, all_1437_6 gives: % 258.77/40.91 | (87) c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v_s____) = % 258.77/40.91 | all_1437_2 & c_Polynomial_Opoly(tc_Complex_Ocomplex, v_p) = all_1437_5 % 258.77/40.91 | & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1437_6, % 258.77/40.91 | all_1437_0) = 0 & c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = % 258.77/40.91 | all_1437_6 & c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, all_1437_1) = % 258.77/40.91 | all_1437_0 & c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal, % 258.77/40.91 | all_1437_3, all_1437_2) = all_1437_1 & % 258.77/40.91 | c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, all_1437_4) = % 258.77/40.91 | all_1437_3 & hAPP(all_1437_5, v_z____) = all_1437_4 & $i(all_1437_0) & % 258.77/40.91 | $i(all_1437_1) & $i(all_1437_2) & $i(all_1437_3) & $i(all_1437_4) & % 258.77/40.91 | $i(all_1437_5) & $i(all_1437_6) % 258.77/40.91 | % 258.77/40.91 | ALPHA: (87) implies: % 258.77/40.91 | (88) hAPP(all_1437_5, v_z____) = all_1437_4 % 258.77/40.91 | (89) c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, all_1437_4) = % 258.77/40.91 | all_1437_3 % 258.77/40.91 | (90) c_Polynomial_Opoly(tc_Complex_Ocomplex, v_p) = all_1437_5 % 258.77/40.91 | % 258.77/40.91 | DELTA: instantiating (6) with fresh symbols all_1448_0, all_1448_1, % 258.77/40.91 | all_1448_2, all_1448_3, all_1448_4, all_1448_5, all_1448_6 gives: % 258.77/40.91 | (91) c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v_s____) = % 258.77/40.91 | all_1448_6 & c_Polynomial_Opoly(tc_Complex_Ocomplex, v_p) = all_1448_5 % 258.77/40.91 | & c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v_N1____, v_N2____) = % 258.77/40.91 | all_1448_4 & v_g____(all_1448_3) = all_1448_2 & % 258.77/40.91 | c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, all_1448_1) = % 258.77/40.91 | all_1448_0 & c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, % 258.77/40.91 | all_1448_6, all_1448_0) = 0 & hAPP(all_1448_5, all_1448_2) = % 258.77/40.91 | all_1448_1 & hAPP(v_f____, all_1448_4) = all_1448_3 & $i(all_1448_0) & % 258.77/40.91 | $i(all_1448_1) & $i(all_1448_2) & $i(all_1448_3) & $i(all_1448_4) & % 258.77/40.91 | $i(all_1448_5) & $i(all_1448_6) % 258.77/40.91 | % 258.77/40.91 | ALPHA: (91) implies: % 258.77/40.91 | (92) hAPP(v_f____, all_1448_4) = all_1448_3 % 258.77/40.91 | (93) hAPP(all_1448_5, all_1448_2) = all_1448_1 % 258.77/40.91 | (94) c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, all_1448_1) = % 258.77/40.91 | all_1448_0 % 258.77/40.91 | (95) v_g____(all_1448_3) = all_1448_2 % 258.77/40.91 | (96) c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v_N1____, v_N2____) = % 258.77/40.91 | all_1448_4 % 258.77/40.91 | (97) c_Polynomial_Opoly(tc_Complex_Ocomplex, v_p) = all_1448_5 % 258.77/40.91 | % 258.77/40.91 | DELTA: instantiating (19) with fresh symbol all_1450_0 gives: % 258.77/40.91 | (98) c_Polynomial_Opoly(tc_Complex_Ocomplex, v_p) = all_1450_0 & % 258.77/40.91 | $i(all_1450_0) & ? [v0: $i] : ($i(v0) & ! [v1: $i] : ! [v2: $i] : ( % 258.77/40.91 | ~ (c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v1) = v2) | % 258.77/40.91 | ~ $i(v1) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v1, v0) % 258.77/40.91 | = 0 | ! [v3: $i] : ! [v4: $i] : ( ~ (hAPP(all_1450_0, v3) = v4) % 258.77/40.91 | | ~ $i(v3) | ? [v5: $i] : ? [v6: any] : ? [v7: $i] : % 258.77/40.91 | (c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v4) = v7 & % 258.77/40.91 | c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v3) = v5 % 258.77/40.91 | & c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v5, v_r) % 258.77/40.91 | = v6 & $i(v7) & $i(v5) & ( ~ (v7 = v2) | ~ (v6 = 0)))))) % 258.77/40.91 | % 258.77/40.91 | ALPHA: (98) implies: % 258.77/40.91 | (99) c_Polynomial_Opoly(tc_Complex_Ocomplex, v_p) = all_1450_0 % 258.77/40.91 | % 258.77/40.91 | DELTA: instantiating (26) with fresh symbols all_1500_0, all_1500_1, % 258.77/40.91 | all_1500_2 gives: % 258.77/40.91 | (100) c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = all_1500_0 & % 258.77/40.91 | c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v_s____) = % 258.77/40.91 | all_1500_1 & c_Polynomial_Opoly(tc_Complex_Ocomplex, v_p) = % 258.77/40.91 | all_1500_2 & $i(all_1500_0) & $i(all_1500_1) & $i(all_1500_2) & ! % 258.77/40.91 | [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! % 258.77/40.91 | [v5: $i] : ! [v6: $i] : ! [v7: $i] : ! [v8: int] : (v8 = 0 | ~ % 258.77/40.91 | (c_Nat_OSuc(v0) = v4) | ~ (c_RealDef_Oreal(tc_Nat_Onat, v4) = v5) % 258.77/40.91 | | ~ (c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, all_1500_0, % 258.77/40.91 | v5) = v6) | ~ (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, % 258.77/40.91 | v3, v7) = v8) | ~ % 258.77/40.91 | (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, all_1500_1, v6) = % 258.77/40.91 | v7) | ~ (v_g____(v0) = v1) | ~ % 258.77/40.91 | (c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v2) = v3) | % 258.77/40.91 | ~ (hAPP(all_1500_2, v1) = v2) | ~ $i(v0)) % 258.77/40.91 | % 258.77/40.91 | ALPHA: (100) implies: % 258.77/40.91 | (101) c_Polynomial_Opoly(tc_Complex_Ocomplex, v_p) = all_1500_2 % 258.77/40.91 | % 258.77/40.91 | DELTA: instantiating (21) with fresh symbols all_1596_0, all_1596_1 gives: % 258.77/40.91 | (102) c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = all_1596_0 & % 258.77/40.91 | c_Polynomial_Opoly(tc_Complex_Ocomplex, v_p) = all_1596_1 & % 258.77/40.91 | $i(all_1596_0) & $i(all_1596_1) & ! [v0: $i] : ! [v1: $i] : ! [v2: % 258.77/40.91 | $i] : ! [v3: int] : (v3 = 0 | ~ % 258.77/40.91 | (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, all_1596_0) = % 258.77/40.91 | v3) | ~ (hAPP(all_1596_1, v1) = v2) | ~ $i(v1) | ~ $i(v0) | ? % 258.77/40.91 | [v4: $i] : ? [v5: any] : ? [v6: $i] : ? [v7: $i] : % 258.77/40.91 | (c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v0) = v7 & % 258.77/40.91 | c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v2) = v6 & % 258.77/40.91 | c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v1) = v4 & % 258.77/40.91 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v4, v_r) = v5 % 258.77/40.91 | & $i(v7) & $i(v6) & $i(v4) & ( ~ (v7 = v6) | ~ (v5 = 0)))) % 258.77/40.91 | % 258.77/40.91 | ALPHA: (102) implies: % 258.77/40.91 | (103) c_Polynomial_Opoly(tc_Complex_Ocomplex, v_p) = all_1596_1 % 258.77/40.91 | % 258.77/40.91 | DELTA: instantiating (27) with fresh symbols all_1611_0, all_1611_1, % 258.77/40.91 | all_1611_2, all_1611_3, all_1611_4, all_1611_5, all_1611_6, all_1611_7, % 258.77/40.91 | all_1611_8 gives: % 258.77/40.91 | (104) c_Nat_OSuc(all_1611_6) = all_1611_5 & c_Nat_OSuc(all_1611_7) = % 258.77/40.91 | all_1611_2 & c_RealDef_Oreal(tc_Nat_Onat, all_1611_2) = all_1611_1 & % 258.77/40.91 | c_RealDef_Oreal(tc_Nat_Onat, all_1611_5) = all_1611_4 & % 258.77/40.91 | c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, all_1611_8, % 258.77/40.91 | all_1611_1) = all_1611_0 & % 258.77/40.91 | c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, all_1611_8, % 258.77/40.91 | all_1611_4) = all_1611_3 & % 258.77/40.91 | c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = all_1611_8 & % 258.77/40.91 | c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v_N1____, v_N2____) = % 258.77/40.91 | all_1611_7 & c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, % 258.77/40.91 | all_1611_3, all_1611_0) = 0 & hAPP(v_f____, all_1611_7) = % 258.77/40.91 | all_1611_6 & $i(all_1611_0) & $i(all_1611_1) & $i(all_1611_2) & % 258.77/40.91 | $i(all_1611_3) & $i(all_1611_4) & $i(all_1611_5) & $i(all_1611_6) & % 258.77/40.91 | $i(all_1611_7) & $i(all_1611_8) % 258.77/40.91 | % 258.77/40.91 | ALPHA: (104) implies: % 258.77/40.91 | (105) hAPP(v_f____, all_1611_7) = all_1611_6 % 258.77/40.91 | (106) c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v_N1____, v_N2____) = % 258.77/40.91 | all_1611_7 % 258.77/40.91 | % 258.77/40.91 | DELTA: instantiating (20) with fresh symbols all_1631_0, all_1631_1, % 258.77/40.91 | all_1631_2 gives: % 258.77/40.91 | (107) c_Polynomial_Opoly(tc_Complex_Ocomplex, v_p) = all_1631_0 & % 258.77/40.91 | c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1631_2 & % 258.77/40.91 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_1631_2, v_r) % 258.77/40.91 | = all_1631_1 & $i(all_1631_0) & $i(all_1631_2) & (all_1631_1 = 0 | ? % 258.77/40.91 | [v0: $i] : ? [v1: $i] : ? [v2: $i] : % 258.77/40.91 | (c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v1) = v2 & % 258.77/40.91 | hAPP(all_1631_0, v0) = v1 & $i(v2) & $i(v1) & $i(v0) & ! [v3: % 258.77/40.91 | $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: int] : (v6 = 0 | ~ % 258.77/40.91 | (c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v4) = v5) % 258.77/40.91 | | ~ (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v2, % 258.77/40.91 | v5) = v6) | ~ (hAPP(all_1631_0, v3) = v4) | ~ $i(v3) | ? % 258.77/40.91 | [v7: $i] : ? [v8: int] : ( ~ (v8 = 0) & % 258.77/40.91 | c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v3) = v7 % 258.77/40.91 | & c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v7, % 258.77/40.91 | v_r) = v8 & $i(v7))))) % 258.77/40.91 | % 258.77/40.91 | ALPHA: (107) implies: % 258.77/40.91 | (108) c_Polynomial_Opoly(tc_Complex_Ocomplex, v_p) = all_1631_0 % 258.77/40.91 | % 258.77/40.91 | DELTA: instantiating (32) with fresh symbols all_1639_0, all_1639_1, % 258.77/40.91 | all_1639_2 gives: % 258.77/40.91 | (109) c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = all_1639_0 & % 258.77/40.91 | c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v_s____) = % 258.77/40.91 | all_1639_1 & c_Polynomial_Opoly(tc_Complex_Ocomplex, v_p) = % 258.77/40.91 | all_1639_2 & $i(all_1639_0) & $i(all_1639_1) & $i(all_1639_2) & ? % 258.77/40.91 | [v0: $i] : ($i(v0) & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! % 258.77/40.91 | [v4: $i] : ! [v5: $i] : ! [v6: $i] : ! [v7: $i] : ! [v8: $i] : % 258.77/40.91 | ! [v9: int] : (v9 = 0 | ~ (c_Nat_OSuc(v1) = v5) | ~ % 258.77/40.91 | (c_RealDef_Oreal(tc_Nat_Onat, v5) = v6) | ~ % 258.77/40.91 | (c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, all_1639_0, % 258.77/40.91 | v6) = v7) | ~ % 258.77/40.91 | (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v4, v8) = v9) | % 258.77/40.91 | ~ (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, all_1639_1, v7) % 258.77/40.91 | = v8) | ~ % 258.77/40.91 | (c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v3) = v4) | % 258.77/40.91 | ~ (hAPP(v0, v1) = v2) | ~ (hAPP(all_1639_2, v2) = v3) | ~ % 258.77/40.91 | $i(v1)) & ! [v1: $i] : ! [v2: $i] : ( ~ (hAPP(v0, v1) = v2) | % 258.77/40.91 | ~ $i(v1) | ? [v3: $i] : % 258.77/40.91 | (c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v2) = v3 & % 258.77/40.91 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v3, v_r) = % 258.77/40.91 | 0 & $i(v3)))) % 258.77/40.91 | % 258.77/40.91 | ALPHA: (109) implies: % 258.77/40.91 | (110) c_Polynomial_Opoly(tc_Complex_Ocomplex, v_p) = all_1639_2 % 258.77/40.91 | % 258.77/40.91 | DELTA: instantiating (32) with fresh symbols all_1641_0, all_1641_1, % 258.77/40.91 | all_1641_2 gives: % 258.77/40.92 | (111) c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = all_1641_0 & % 258.77/40.92 | c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v_s____) = % 258.77/40.92 | all_1641_1 & c_Polynomial_Opoly(tc_Complex_Ocomplex, v_p) = % 258.77/40.92 | all_1641_2 & $i(all_1641_0) & $i(all_1641_1) & $i(all_1641_2) & ? % 258.77/40.92 | [v0: $i] : ($i(v0) & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! % 258.77/40.92 | [v4: $i] : ! [v5: $i] : ! [v6: $i] : ! [v7: $i] : ! [v8: $i] : % 258.77/40.92 | ! [v9: int] : (v9 = 0 | ~ (c_Nat_OSuc(v1) = v5) | ~ % 258.77/40.92 | (c_RealDef_Oreal(tc_Nat_Onat, v5) = v6) | ~ % 258.77/40.92 | (c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, all_1641_0, % 258.77/40.92 | v6) = v7) | ~ % 258.77/40.92 | (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v4, v8) = v9) | % 258.77/40.92 | ~ (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, all_1641_1, v7) % 258.77/40.92 | = v8) | ~ % 258.77/40.92 | (c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v3) = v4) | % 258.77/40.92 | ~ (hAPP(v0, v1) = v2) | ~ (hAPP(all_1641_2, v2) = v3) | ~ % 258.77/40.92 | $i(v1)) & ! [v1: $i] : ! [v2: $i] : ( ~ (hAPP(v0, v1) = v2) | % 258.77/40.92 | ~ $i(v1) | ? [v3: $i] : % 258.77/40.92 | (c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v2) = v3 & % 258.77/40.92 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v3, v_r) = % 258.77/40.92 | 0 & $i(v3)))) % 258.77/40.92 | % 258.77/40.92 | ALPHA: (111) implies: % 258.77/40.92 | (112) c_Polynomial_Opoly(tc_Complex_Ocomplex, v_p) = all_1641_2 % 258.77/40.92 | % 258.77/40.92 | DELTA: instantiating (35) with fresh symbols all_1643_0, all_1643_1, % 258.77/40.92 | all_1643_2, all_1643_3, all_1643_4, all_1643_5, all_1643_6, all_1643_7, % 258.77/40.92 | all_1643_8, all_1643_9, all_1643_10 gives: % 258.77/40.92 | (113) c_Int_OBit1(c_Int_OPls) = all_1643_10 & c_Int_OBit0(all_1643_10) = % 258.77/40.92 | all_1643_9 & c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, % 258.77/40.92 | all_1643_9) = all_1643_8 & c_RealDef_Oreal(tc_Nat_Onat, v_N2____) = % 258.77/40.92 | all_1643_0 & c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, % 258.77/40.92 | all_1643_8, all_1643_2) = all_1643_1 & % 258.77/40.92 | c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v_s____) = % 258.77/40.92 | all_1643_4 & c_Polynomial_Opoly(tc_Complex_Ocomplex, v_p) = % 258.77/40.92 | all_1643_7 & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, % 258.77/40.92 | all_1643_1, all_1643_0) = 0 & % 258.77/40.92 | c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, all_1643_3) = all_1643_2 % 258.77/40.92 | & c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal, all_1643_5, % 258.77/40.92 | all_1643_4) = all_1643_3 & % 258.77/40.92 | c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, all_1643_6) = % 258.77/40.92 | all_1643_5 & hAPP(all_1643_7, v_z____) = all_1643_6 & $i(all_1643_0) % 258.77/40.92 | & $i(all_1643_1) & $i(all_1643_2) & $i(all_1643_3) & $i(all_1643_4) & % 258.77/40.92 | $i(all_1643_5) & $i(all_1643_6) & $i(all_1643_7) & $i(all_1643_8) & % 258.77/40.92 | $i(all_1643_9) & $i(all_1643_10) % 258.77/40.92 | % 258.77/40.92 | ALPHA: (113) implies: % 258.77/40.92 | (114) $i(all_1643_6) % 258.77/40.92 | (115) hAPP(all_1643_7, v_z____) = all_1643_6 % 258.77/40.92 | (116) c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, all_1643_6) = % 258.77/40.92 | all_1643_5 % 258.77/40.92 | (117) c_Polynomial_Opoly(tc_Complex_Ocomplex, v_p) = all_1643_7 % 258.77/40.92 | % 258.77/40.92 | DELTA: instantiating (31) with fresh symbols all_1645_0, all_1645_1, % 258.77/40.92 | all_1645_2 gives: % 258.77/40.92 | (118) c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = all_1645_0 & % 258.77/40.92 | c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v_s____) = % 258.77/40.92 | all_1645_1 & c_Polynomial_Opoly(tc_Complex_Ocomplex, v_p) = % 258.77/40.92 | all_1645_2 & $i(all_1645_0) & $i(all_1645_1) & $i(all_1645_2) & ! % 258.77/40.92 | [v0: $i] : ! [v1: $i] : ( ~ (c_Nat_OSuc(v0) = v1) | ~ $i(v0) | ? % 258.77/40.92 | [v2: $i] : ? [v3: $i] : ? [v4: $i] : % 258.77/40.92 | (c_RealDef_Oreal(tc_Nat_Onat, v1) = v2 & % 258.77/40.92 | c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, all_1645_0, v2) % 258.77/40.92 | = v3 & c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, all_1645_1, % 258.77/40.92 | v3) = v4 & $i(v4) & $i(v3) & $i(v2) & ? [v5: $i] : ? [v6: $i] % 258.77/40.92 | : ? [v7: $i] : ? [v8: $i] : % 258.77/40.92 | (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v8, v4) = 0 & % 258.77/40.92 | c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v7) = v8 & % 258.77/40.92 | c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v5) = v6 & % 258.77/40.92 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v6, v_r) = % 258.77/40.92 | 0 & hAPP(all_1645_2, v5) = v7 & $i(v8) & $i(v7) & $i(v6) & % 258.77/40.92 | $i(v5)))) % 258.77/40.92 | % 258.77/40.92 | ALPHA: (118) implies: % 258.77/40.92 | (119) c_Polynomial_Opoly(tc_Complex_Ocomplex, v_p) = all_1645_2 % 258.77/40.92 | % 258.77/40.92 | DELTA: instantiating (37) with fresh symbols all_1648_0, all_1648_1, % 258.77/40.92 | all_1648_2, all_1648_3, all_1648_4, all_1648_5, all_1648_6, all_1648_7, % 258.77/40.92 | all_1648_8, all_1648_9, all_1648_10 gives: % 258.77/40.92 | (120) c_Int_OBit1(c_Int_OPls) = all_1648_3 & c_Int_OBit0(all_1648_3) = % 258.77/40.92 | all_1648_2 & c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, % 258.77/40.92 | all_1648_2) = all_1648_1 & % 258.77/40.92 | c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, all_1648_4, % 258.77/40.92 | all_1648_1) = all_1648_0 & % 258.77/40.92 | c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v_s____) = % 258.77/40.92 | all_1648_6 & c_Polynomial_Opoly(tc_Complex_Ocomplex, v_p) = % 258.77/40.92 | all_1648_9 & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, % 258.77/40.92 | all_1648_10, all_1648_0) = 0 & % 258.77/40.92 | c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1648_10 & % 258.77/40.92 | c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, all_1648_5) = all_1648_4 % 258.77/40.92 | & c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal, all_1648_7, % 258.77/40.92 | all_1648_6) = all_1648_5 & % 258.77/40.92 | c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, all_1648_8) = % 258.77/40.92 | all_1648_7 & hAPP(all_1648_9, v_z____) = all_1648_8 & $i(all_1648_0) % 258.77/40.92 | & $i(all_1648_1) & $i(all_1648_2) & $i(all_1648_3) & $i(all_1648_4) & % 258.77/40.92 | $i(all_1648_5) & $i(all_1648_6) & $i(all_1648_7) & $i(all_1648_8) & % 258.77/40.92 | $i(all_1648_9) & $i(all_1648_10) % 258.77/40.92 | % 258.77/40.92 | ALPHA: (120) implies: % 258.77/40.92 | (121) hAPP(all_1648_9, v_z____) = all_1648_8 % 258.77/40.92 | (122) c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, all_1648_8) = % 258.77/40.92 | all_1648_7 % 258.77/40.92 | (123) c_Polynomial_Opoly(tc_Complex_Ocomplex, v_p) = all_1648_9 % 258.77/40.92 | % 258.77/40.92 | DELTA: instantiating (31) with fresh symbols all_1653_0, all_1653_1, % 258.77/40.92 | all_1653_2 gives: % 258.77/40.92 | (124) c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = all_1653_0 & % 258.77/40.92 | c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v_s____) = % 258.77/40.92 | all_1653_1 & c_Polynomial_Opoly(tc_Complex_Ocomplex, v_p) = % 258.77/40.92 | all_1653_2 & $i(all_1653_0) & $i(all_1653_1) & $i(all_1653_2) & ! % 258.77/40.92 | [v0: $i] : ! [v1: $i] : ( ~ (c_Nat_OSuc(v0) = v1) | ~ $i(v0) | ? % 258.77/40.92 | [v2: $i] : ? [v3: $i] : ? [v4: $i] : % 258.77/40.92 | (c_RealDef_Oreal(tc_Nat_Onat, v1) = v2 & % 258.77/40.92 | c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, all_1653_0, v2) % 258.77/40.92 | = v3 & c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, all_1653_1, % 258.77/40.92 | v3) = v4 & $i(v4) & $i(v3) & $i(v2) & ? [v5: $i] : ? [v6: $i] % 258.77/40.92 | : ? [v7: $i] : ? [v8: $i] : % 258.77/40.92 | (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v8, v4) = 0 & % 258.77/40.92 | c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v7) = v8 & % 258.77/40.92 | c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v5) = v6 & % 258.77/40.92 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v6, v_r) = % 258.77/40.92 | 0 & hAPP(all_1653_2, v5) = v7 & $i(v8) & $i(v7) & $i(v6) & % 258.77/40.92 | $i(v5)))) % 258.77/40.92 | % 258.77/40.92 | ALPHA: (124) implies: % 258.77/40.92 | (125) c_Polynomial_Opoly(tc_Complex_Ocomplex, v_p) = all_1653_2 % 258.77/40.92 | % 258.77/40.92 | DELTA: instantiating (43) with fresh symbols all_1656_0, all_1656_1, % 258.77/40.92 | all_1656_2, all_1656_3, all_1656_4, all_1656_5, all_1656_6, all_1656_7, % 258.77/40.92 | all_1656_8, all_1656_9 gives: % 258.77/40.92 | (126) c_Int_OBit1(c_Int_OPls) = all_1656_9 & c_Int_OBit0(all_1656_9) = % 258.77/40.92 | all_1656_8 & c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, % 258.77/40.92 | all_1656_8) = all_1656_7 & % 258.77/40.92 | c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, all_1656_7, % 258.77/40.92 | all_1656_1) = all_1656_0 & % 258.77/40.92 | c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v_s____) = % 258.77/40.92 | all_1656_3 & c_Polynomial_Opoly(tc_Complex_Ocomplex, v_p) = % 258.77/40.92 | all_1656_6 & c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, all_1656_2) % 258.77/40.92 | = all_1656_1 & c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal, % 258.77/40.92 | all_1656_4, all_1656_3) = all_1656_2 & % 258.77/40.92 | c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, all_1656_5) = % 258.77/40.92 | all_1656_4 & hAPP(all_1656_6, v_z____) = all_1656_5 & $i(all_1656_0) % 258.77/40.92 | & $i(all_1656_1) & $i(all_1656_2) & $i(all_1656_3) & $i(all_1656_4) & % 258.77/40.92 | $i(all_1656_5) & $i(all_1656_6) & $i(all_1656_7) & $i(all_1656_8) & % 258.77/40.92 | $i(all_1656_9) & ? [v0: $i] : ? [v1: $i] : % 258.77/40.92 | (c_RealDef_Oreal(tc_Nat_Onat, v0) = v1 & % 258.77/40.92 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1656_0, v1) = 0 % 258.77/40.92 | & $i(v1) & $i(v0)) % 258.77/40.92 | % 258.77/40.92 | ALPHA: (126) implies: % 258.77/40.92 | (127) hAPP(all_1656_6, v_z____) = all_1656_5 % 258.77/40.92 | (128) c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, all_1656_5) = % 258.77/40.92 | all_1656_4 % 258.77/40.92 | (129) c_Polynomial_Opoly(tc_Complex_Ocomplex, v_p) = all_1656_6 % 258.77/40.92 | % 258.77/40.92 | DELTA: instantiating (43) with fresh symbols all_1658_0, all_1658_1, % 258.77/40.92 | all_1658_2, all_1658_3, all_1658_4, all_1658_5, all_1658_6, all_1658_7, % 258.77/40.92 | all_1658_8, all_1658_9 gives: % 258.77/40.92 | (130) c_Int_OBit1(c_Int_OPls) = all_1658_9 & c_Int_OBit0(all_1658_9) = % 258.77/40.92 | all_1658_8 & c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, % 258.77/40.92 | all_1658_8) = all_1658_7 & % 258.77/40.92 | c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, all_1658_7, % 258.77/40.92 | all_1658_1) = all_1658_0 & % 258.77/40.92 | c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v_s____) = % 258.77/40.92 | all_1658_3 & c_Polynomial_Opoly(tc_Complex_Ocomplex, v_p) = % 258.77/40.92 | all_1658_6 & c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, all_1658_2) % 258.77/40.92 | = all_1658_1 & c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal, % 258.77/40.92 | all_1658_4, all_1658_3) = all_1658_2 & % 258.77/40.92 | c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, all_1658_5) = % 258.77/40.92 | all_1658_4 & hAPP(all_1658_6, v_z____) = all_1658_5 & $i(all_1658_0) % 258.77/40.92 | & $i(all_1658_1) & $i(all_1658_2) & $i(all_1658_3) & $i(all_1658_4) & % 258.77/40.92 | $i(all_1658_5) & $i(all_1658_6) & $i(all_1658_7) & $i(all_1658_8) & % 258.77/40.92 | $i(all_1658_9) & ? [v0: $i] : ? [v1: $i] : % 258.89/40.92 | (c_RealDef_Oreal(tc_Nat_Onat, v0) = v1 & % 258.89/40.92 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1658_0, v1) = 0 % 258.89/40.92 | & $i(v1) & $i(v0)) % 258.89/40.92 | % 258.89/40.92 | ALPHA: (130) implies: % 258.89/40.92 | (131) hAPP(all_1658_6, v_z____) = all_1658_5 % 258.89/40.92 | (132) c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, all_1658_5) = % 258.89/40.92 | all_1658_4 % 258.89/40.92 | (133) c_Polynomial_Opoly(tc_Complex_Ocomplex, v_p) = all_1658_6 % 258.89/40.92 | % 258.89/40.92 | DELTA: instantiating (30) with fresh symbols all_1663_0, all_1663_1, % 258.89/40.92 | all_1663_2, all_1663_3, all_1663_4, all_1663_5, all_1663_6, all_1663_7, % 258.89/40.92 | all_1663_8, all_1663_9, all_1663_10, all_1663_11 gives: % 258.89/40.93 | (134) c_Nat_OSuc(all_1663_10) = all_1663_3 & c_RealDef_Oreal(tc_Nat_Onat, % 258.89/40.93 | all_1663_3) = all_1663_2 & % 258.89/40.93 | c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, all_1663_4, % 258.89/40.93 | all_1663_2) = all_1663_1 & % 258.89/40.93 | c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = all_1663_4 & % 258.89/40.93 | c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v_s____) = % 258.89/40.93 | all_1663_5 & c_Polynomial_Opoly(tc_Complex_Ocomplex, v_p) = % 258.89/40.93 | all_1663_11 & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, % 258.89/40.93 | all_1663_6, all_1663_0) = 0 & % 258.89/40.93 | c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v_N1____, v_N2____) = % 258.89/40.93 | all_1663_10 & c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, % 258.89/40.93 | all_1663_5, all_1663_1) = all_1663_0 & v_g____(all_1663_9) = % 258.89/40.93 | all_1663_8 & c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, % 258.89/40.93 | all_1663_7) = all_1663_6 & hAPP(all_1663_11, all_1663_8) = % 258.89/40.93 | all_1663_7 & hAPP(v_f____, all_1663_10) = all_1663_9 & $i(all_1663_0) % 258.89/40.93 | & $i(all_1663_1) & $i(all_1663_2) & $i(all_1663_3) & $i(all_1663_4) & % 258.89/40.93 | $i(all_1663_5) & $i(all_1663_6) & $i(all_1663_7) & $i(all_1663_8) & % 258.89/40.93 | $i(all_1663_9) & $i(all_1663_10) & $i(all_1663_11) % 258.89/40.93 | % 258.89/40.93 | ALPHA: (134) implies: % 258.89/40.93 | (135) $i(all_1663_7) % 258.89/40.93 | (136) hAPP(v_f____, all_1663_10) = all_1663_9 % 258.89/40.93 | (137) hAPP(all_1663_11, all_1663_8) = all_1663_7 % 258.89/40.93 | (138) c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, all_1663_7) = % 258.89/40.93 | all_1663_6 % 258.89/40.93 | (139) v_g____(all_1663_9) = all_1663_8 % 258.89/40.93 | (140) c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v_N1____, v_N2____) = % 258.89/40.93 | all_1663_10 % 258.89/40.93 | (141) c_Polynomial_Opoly(tc_Complex_Ocomplex, v_p) = all_1663_11 % 258.89/40.93 | % 258.89/40.93 | DELTA: instantiating (29) with fresh symbols all_1665_0, all_1665_1, % 258.89/40.93 | all_1665_2, all_1665_3, all_1665_4, all_1665_5, all_1665_6, all_1665_7, % 258.89/40.93 | all_1665_8, all_1665_9, all_1665_10, all_1665_11 gives: % 258.89/40.93 | (142) c_Nat_OSuc(all_1665_9) = all_1665_3 & c_RealDef_Oreal(tc_Nat_Onat, % 258.89/40.93 | all_1665_3) = all_1665_2 & % 258.89/40.93 | c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, all_1665_4, % 258.89/40.93 | all_1665_2) = all_1665_1 & % 258.89/40.93 | c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = all_1665_4 & % 258.89/40.93 | c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v_s____) = % 258.89/40.93 | all_1665_5 & c_Polynomial_Opoly(tc_Complex_Ocomplex, v_p) = % 258.89/40.93 | all_1665_11 & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, % 258.89/40.93 | all_1665_6, all_1665_0) = 0 & % 258.89/40.93 | c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v_N1____, v_N2____) = % 258.89/40.93 | all_1665_10 & c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, % 258.89/40.93 | all_1665_5, all_1665_1) = all_1665_0 & v_g____(all_1665_9) = % 258.89/40.93 | all_1665_8 & c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, % 258.89/40.93 | all_1665_7) = all_1665_6 & hAPP(all_1665_11, all_1665_8) = % 258.89/40.93 | all_1665_7 & hAPP(v_f____, all_1665_10) = all_1665_9 & $i(all_1665_0) % 258.89/40.93 | & $i(all_1665_1) & $i(all_1665_2) & $i(all_1665_3) & $i(all_1665_4) & % 258.89/40.93 | $i(all_1665_5) & $i(all_1665_6) & $i(all_1665_7) & $i(all_1665_8) & % 258.89/40.93 | $i(all_1665_9) & $i(all_1665_10) & $i(all_1665_11) % 258.89/40.93 | % 258.89/40.93 | ALPHA: (142) implies: % 258.89/40.93 | (143) hAPP(v_f____, all_1665_10) = all_1665_9 % 258.89/40.93 | (144) hAPP(all_1665_11, all_1665_8) = all_1665_7 % 258.89/40.93 | (145) c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, all_1665_7) = % 258.89/40.93 | all_1665_6 % 258.89/40.93 | (146) v_g____(all_1665_9) = all_1665_8 % 258.89/40.93 | (147) c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v_N1____, v_N2____) = % 258.89/40.93 | all_1665_10 % 258.89/40.93 | (148) c_Polynomial_Opoly(tc_Complex_Ocomplex, v_p) = all_1665_11 % 258.89/40.93 | % 258.89/40.93 | DELTA: instantiating (28) with fresh symbols all_1667_0, all_1667_1, % 258.89/40.93 | all_1667_2, all_1667_3, all_1667_4, all_1667_5, all_1667_6, all_1667_7, % 258.89/40.93 | all_1667_8, all_1667_9, all_1667_10, all_1667_11 gives: % 258.89/40.93 | (149) c_Nat_OSuc(all_1667_8) = all_1667_7 & c_Nat_OSuc(all_1667_9) = % 258.89/40.93 | all_1667_3 & c_RealDef_Oreal(tc_Nat_Onat, all_1667_3) = all_1667_2 & % 258.89/40.93 | c_RealDef_Oreal(tc_Nat_Onat, all_1667_7) = all_1667_6 & % 258.89/40.93 | c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, all_1667_10, % 258.89/40.93 | all_1667_2) = all_1667_1 & % 258.89/40.93 | c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, all_1667_10, % 258.89/40.93 | all_1667_6) = all_1667_5 & % 258.89/40.93 | c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = all_1667_10 & % 258.89/40.93 | c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v_s____) = % 258.89/40.93 | all_1667_11 & c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v_N1____, % 258.89/40.93 | v_N2____) = all_1667_9 & % 258.89/40.93 | c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, all_1667_11, % 258.89/40.93 | all_1667_1) = all_1667_0 & % 258.89/40.93 | c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, all_1667_11, % 258.89/40.93 | all_1667_5) = all_1667_4 & % 258.89/40.93 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_1667_4, % 258.89/40.93 | all_1667_0) = 0 & hAPP(v_f____, all_1667_9) = all_1667_8 & % 258.89/40.93 | $i(all_1667_0) & $i(all_1667_1) & $i(all_1667_2) & $i(all_1667_3) & % 258.89/40.93 | $i(all_1667_4) & $i(all_1667_5) & $i(all_1667_6) & $i(all_1667_7) & % 258.89/40.93 | $i(all_1667_8) & $i(all_1667_9) & $i(all_1667_10) & $i(all_1667_11) % 258.89/40.93 | % 258.89/40.93 | ALPHA: (149) implies: % 258.89/40.93 | (150) hAPP(v_f____, all_1667_9) = all_1667_8 % 258.89/40.93 | (151) c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v_N1____, v_N2____) = % 258.89/40.93 | all_1667_9 % 258.89/40.93 | % 258.89/40.93 | DELTA: instantiating (47) with fresh symbols all_1669_0, all_1669_1, % 258.89/40.93 | all_1669_2, all_1669_3, all_1669_4, all_1669_5, all_1669_6, all_1669_7, % 258.89/40.93 | all_1669_8, all_1669_9, all_1669_10, all_1669_11, all_1669_12 gives: % 258.89/40.93 | (152) ~ (all_1669_0 = 0) & c_Polynomial_Opoly(tc_Complex_Ocomplex, v_p) = % 258.89/40.93 | all_1669_12 & c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, all_1669_4) % 258.89/40.93 | = all_1669_3 & c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex, % 258.89/40.93 | all_1669_8, all_1669_6) = all_1669_2 & % 258.89/40.93 | c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal, all_1669_7, % 258.89/40.93 | all_1669_5) = all_1669_4 & c_Groups_Oplus__class_Oplus(tc_Nat_Onat, % 258.89/40.93 | v_N1____, v_N2____) = all_1669_11 & v_g____(all_1669_10) = % 258.89/40.93 | all_1669_9 & c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, % 258.89/40.93 | all_1669_2) = all_1669_1 & % 258.89/40.93 | c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, all_1669_6) = % 258.89/40.93 | all_1669_5 & c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, % 258.89/40.93 | all_1669_8) = all_1669_7 & % 258.89/40.93 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_1669_3, % 258.89/40.93 | all_1669_1) = all_1669_0 & hAPP(all_1669_12, all_1669_9) = % 258.89/40.93 | all_1669_8 & hAPP(all_1669_12, v_z____) = all_1669_6 & hAPP(v_f____, % 258.89/40.93 | all_1669_11) = all_1669_10 & $i(all_1669_1) & $i(all_1669_2) & % 258.89/40.93 | $i(all_1669_3) & $i(all_1669_4) & $i(all_1669_5) & $i(all_1669_6) & % 258.89/40.93 | $i(all_1669_7) & $i(all_1669_8) & $i(all_1669_9) & $i(all_1669_10) & % 258.89/40.93 | $i(all_1669_11) & $i(all_1669_12) % 258.89/40.93 | % 258.89/40.93 | ALPHA: (152) implies: % 258.89/40.93 | (153) ~ (all_1669_0 = 0) % 258.89/40.93 | (154) hAPP(v_f____, all_1669_11) = all_1669_10 % 258.89/40.93 | (155) hAPP(all_1669_12, v_z____) = all_1669_6 % 258.89/40.93 | (156) hAPP(all_1669_12, all_1669_9) = all_1669_8 % 258.89/40.93 | (157) c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_1669_3, % 258.89/40.93 | all_1669_1) = all_1669_0 % 258.89/40.93 | (158) c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, all_1669_8) = % 258.89/40.93 | all_1669_7 % 258.89/40.93 | (159) c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, all_1669_6) = % 258.89/40.93 | all_1669_5 % 258.89/40.93 | (160) c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, all_1669_2) = % 258.89/40.93 | all_1669_1 % 258.89/40.93 | (161) v_g____(all_1669_10) = all_1669_9 % 258.89/40.93 | (162) c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v_N1____, v_N2____) = % 258.89/40.93 | all_1669_11 % 258.89/40.93 | (163) c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal, all_1669_7, % 258.89/40.93 | all_1669_5) = all_1669_4 % 258.89/40.93 | (164) c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex, all_1669_8, % 258.89/40.93 | all_1669_6) = all_1669_2 % 258.89/40.93 | (165) c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, all_1669_4) = all_1669_3 % 258.89/40.93 | (166) c_Polynomial_Opoly(tc_Complex_Ocomplex, v_p) = all_1669_12 % 258.89/40.93 | % 258.89/40.93 | DELTA: instantiating (18) with fresh symbols all_1671_0, all_1671_1, % 258.89/40.93 | all_1671_2 gives: % 258.89/40.93 | (167) c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v_s____) = % 258.89/40.93 | all_1671_1 & c_Polynomial_Opoly(tc_Complex_Ocomplex, v_p) = % 258.89/40.93 | all_1671_2 & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, % 258.89/40.93 | all_1671_1, all_1671_1) = all_1671_0 & $i(all_1671_1) & % 258.89/40.93 | $i(all_1671_2) & ((all_1671_0 = 0 & ? [v0: $i] : ? [v1: $i] : ? % 258.89/40.93 | [v2: $i] : ? [v3: $i] : % 258.89/40.93 | (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v3, all_1671_1) % 258.89/40.93 | = 0 & c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v2) % 258.89/40.93 | = v3 & c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v0) % 258.89/40.93 | = v1 & c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v1, % 258.89/40.93 | v_r) = 0 & hAPP(all_1671_2, v0) = v2 & $i(v3) & $i(v2) & % 258.89/40.93 | $i(v1) & $i(v0))) | ( ~ (all_1671_0 = 0) & ! [v0: $i] : ! % 258.89/40.93 | [v1: $i] : ( ~ (hAPP(all_1671_2, v0) = v1) | ~ $i(v0) | ? [v2: % 258.89/40.93 | $i] : ? [v3: any] : ? [v4: $i] : ? [v5: any] : % 258.89/40.93 | (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v4, % 258.89/40.93 | all_1671_1) = v5 & % 258.89/40.93 | c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v1) = v4 % 258.89/40.93 | & c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v0) = % 258.89/40.93 | v2 & c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v2, % 258.89/40.93 | v_r) = v3 & $i(v4) & $i(v2) & ( ~ (v5 = 0) | ~ (v3 = % 258.89/40.93 | 0)))))) % 258.89/40.93 | % 258.89/40.93 | ALPHA: (167) implies: % 258.89/40.93 | (168) c_Polynomial_Opoly(tc_Complex_Ocomplex, v_p) = all_1671_2 % 258.89/40.93 | % 258.89/40.93 | DELTA: instantiating (17) with fresh symbols all_1673_0, all_1673_1 gives: % 258.89/40.93 | (169) c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v_s____) = % 258.89/40.93 | all_1673_0 & c_Polynomial_Opoly(tc_Complex_Ocomplex, v_p) = % 258.89/40.93 | all_1673_1 & $i(all_1673_0) & $i(all_1673_1) & ! [v0: $i] : ! [v1: % 258.89/40.93 | int] : (v1 = 0 | ~ % 258.89/40.93 | (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1673_0, v0) = % 258.89/40.93 | v1) | ~ $i(v0) | ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ( ~ % 258.89/40.93 | (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v4, v0) = 0) | % 258.89/40.93 | ~ (c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v3) = v4) % 258.89/40.93 | | ~ (hAPP(all_1673_1, v2) = v3) | ~ $i(v2) | ? [v5: $i] : ? % 258.89/40.93 | [v6: int] : ( ~ (v6 = 0) & % 258.89/40.93 | c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v2) = v5 & % 258.89/40.93 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v5, v_r) = % 258.89/40.93 | v6 & $i(v5)))) & ! [v0: $i] : ( ~ % 258.89/40.93 | (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1673_0, v0) = % 258.89/40.93 | 0) | ~ $i(v0) | ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? % 258.89/40.93 | [v4: $i] : (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v4, v0) % 258.89/40.93 | = 0 & c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v3) = % 258.89/40.93 | v4 & c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v1) = % 258.89/40.93 | v2 & c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v2, v_r) % 258.89/40.93 | = 0 & hAPP(all_1673_1, v1) = v3 & $i(v4) & $i(v3) & $i(v2) & % 258.89/40.93 | $i(v1))) % 258.89/40.93 | % 258.89/40.93 | ALPHA: (169) implies: % 258.89/40.93 | (170) c_Polynomial_Opoly(tc_Complex_Ocomplex, v_p) = all_1673_1 % 258.89/40.93 | % 258.89/40.93 | DELTA: instantiating (24) with fresh symbols all_1679_0, all_1679_1, % 258.89/40.93 | all_1679_2, all_1679_3, all_1679_4, all_1679_5, all_1679_6, all_1679_7, % 258.89/40.93 | all_1679_8, all_1679_9, all_1679_10, all_1679_11, all_1679_12 gives: % 258.89/40.94 | (171) c_Nat_OSuc(all_1679_11) = all_1679_2 & c_RealDef_Oreal(tc_Nat_Onat, % 258.89/40.94 | all_1679_2) = all_1679_1 & % 258.89/40.94 | c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, all_1679_3, % 258.89/40.94 | all_1679_1) = all_1679_0 & % 258.89/40.94 | c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = all_1679_3 & % 258.89/40.94 | c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v_s____) = % 258.89/40.94 | all_1679_6 & c_Polynomial_Opoly(tc_Complex_Ocomplex, v_p) = % 258.89/40.94 | all_1679_12 & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, % 258.89/40.94 | all_1679_4, all_1679_0) = 0 & % 258.89/40.94 | c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, all_1679_5) = all_1679_4 % 258.89/40.94 | & c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal, all_1679_7, % 258.89/40.94 | all_1679_6) = all_1679_5 & c_Groups_Oplus__class_Oplus(tc_Nat_Onat, % 258.89/40.94 | v_N1____, v_N2____) = all_1679_11 & v_g____(all_1679_10) = % 258.89/40.94 | all_1679_9 & c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, % 258.89/40.94 | all_1679_8) = all_1679_7 & hAPP(all_1679_12, all_1679_9) = % 258.89/40.94 | all_1679_8 & hAPP(v_f____, all_1679_11) = all_1679_10 & % 258.89/40.94 | $i(all_1679_0) & $i(all_1679_1) & $i(all_1679_2) & $i(all_1679_3) & % 258.89/40.94 | $i(all_1679_4) & $i(all_1679_5) & $i(all_1679_6) & $i(all_1679_7) & % 258.89/40.94 | $i(all_1679_8) & $i(all_1679_9) & $i(all_1679_10) & $i(all_1679_11) & % 258.89/40.94 | $i(all_1679_12) % 258.89/40.94 | % 258.89/40.94 | ALPHA: (171) implies: % 258.89/40.94 | (172) hAPP(v_f____, all_1679_11) = all_1679_10 % 258.89/40.94 | (173) hAPP(all_1679_12, all_1679_9) = all_1679_8 % 258.89/40.94 | (174) c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, all_1679_8) = % 258.89/40.94 | all_1679_7 % 258.89/40.94 | (175) v_g____(all_1679_10) = all_1679_9 % 258.89/40.94 | (176) c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v_N1____, v_N2____) = % 258.89/40.94 | all_1679_11 % 258.89/40.94 | (177) c_Polynomial_Opoly(tc_Complex_Ocomplex, v_p) = all_1679_12 % 258.89/40.94 | % 258.89/40.94 | DELTA: instantiating (39) with fresh symbols all_1681_0, all_1681_1, % 258.89/40.94 | all_1681_2, all_1681_3, all_1681_4, all_1681_5, all_1681_6, all_1681_7, % 258.89/40.94 | all_1681_8, all_1681_9, all_1681_10, all_1681_11, all_1681_12 gives: % 258.89/40.94 | (178) c_Int_OBit1(c_Int_OPls) = all_1681_12 & c_Int_OBit0(all_1681_12) = % 258.89/40.94 | all_1681_11 & c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, % 258.89/40.94 | all_1681_11) = all_1681_10 & c_Nat_OSuc(all_1681_2) = all_1681_1 & % 258.89/40.94 | c_RealDef_Oreal(tc_Nat_Onat, all_1681_1) = all_1681_0 & % 258.89/40.94 | c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, all_1681_10, % 258.89/40.94 | all_1681_4) = all_1681_3 & % 258.89/40.94 | c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v_s____) = % 258.89/40.94 | all_1681_6 & c_Polynomial_Opoly(tc_Complex_Ocomplex, v_p) = % 258.89/40.94 | all_1681_9 & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, % 258.89/40.94 | all_1681_3, all_1681_0) = 0 & % 258.89/40.94 | c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, all_1681_5) = all_1681_4 % 258.89/40.94 | & c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal, all_1681_7, % 258.89/40.94 | all_1681_6) = all_1681_5 & c_Groups_Oplus__class_Oplus(tc_Nat_Onat, % 258.89/40.94 | v_N1____, v_N2____) = all_1681_2 & % 258.89/40.94 | c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, all_1681_8) = % 258.89/40.94 | all_1681_7 & hAPP(all_1681_9, v_z____) = all_1681_8 & $i(all_1681_0) % 258.89/40.94 | & $i(all_1681_1) & $i(all_1681_2) & $i(all_1681_3) & $i(all_1681_4) & % 258.89/40.94 | $i(all_1681_5) & $i(all_1681_6) & $i(all_1681_7) & $i(all_1681_8) & % 258.89/40.94 | $i(all_1681_9) & $i(all_1681_10) & $i(all_1681_11) & $i(all_1681_12) % 258.89/40.94 | % 258.89/40.94 | ALPHA: (178) implies: % 258.89/40.94 | (179) hAPP(all_1681_9, v_z____) = all_1681_8 % 258.89/40.94 | (180) c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, all_1681_8) = % 258.89/40.94 | all_1681_7 % 258.89/40.94 | (181) c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v_N1____, v_N2____) = % 258.89/40.94 | all_1681_2 % 258.89/40.94 | (182) c_Polynomial_Opoly(tc_Complex_Ocomplex, v_p) = all_1681_9 % 258.89/40.94 | % 258.89/40.94 | DELTA: instantiating (40) with fresh symbols all_1692_0, all_1692_1, % 258.89/40.94 | all_1692_2, all_1692_3, all_1692_4, all_1692_5, all_1692_6, all_1692_7, % 258.89/40.94 | all_1692_8, all_1692_9, all_1692_10, all_1692_11, all_1692_12, % 258.89/40.94 | all_1692_13, all_1692_14 gives: % 258.89/40.94 | (183) c_Int_OBit1(c_Int_OPls) = all_1692_3 & c_Int_OBit0(all_1692_3) = % 258.89/40.94 | all_1692_2 & c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, % 258.89/40.94 | all_1692_2) = all_1692_1 & c_Nat_OSuc(all_1692_13) = all_1692_12 & % 258.89/40.94 | c_RealDef_Oreal(tc_Nat_Onat, all_1692_12) = all_1692_11 & % 258.89/40.94 | c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, all_1692_4, % 258.89/40.94 | all_1692_1) = all_1692_0 & % 258.89/40.94 | c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, all_1692_14, % 258.89/40.94 | all_1692_11) = all_1692_10 & % 258.89/40.94 | c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = all_1692_14 & % 258.89/40.94 | c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v_s____) = % 258.89/40.94 | all_1692_6 & c_Polynomial_Opoly(tc_Complex_Ocomplex, v_p) = % 258.89/40.94 | all_1692_9 & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, % 258.89/40.94 | all_1692_10, all_1692_0) = 0 & % 258.89/40.94 | c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, all_1692_5) = all_1692_4 % 258.89/40.94 | & c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal, all_1692_7, % 258.89/40.94 | all_1692_6) = all_1692_5 & c_Groups_Oplus__class_Oplus(tc_Nat_Onat, % 258.89/40.94 | v_N1____, v_N2____) = all_1692_13 & % 258.89/40.94 | c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, all_1692_8) = % 258.89/40.94 | all_1692_7 & hAPP(all_1692_9, v_z____) = all_1692_8 & $i(all_1692_0) % 258.89/40.94 | & $i(all_1692_1) & $i(all_1692_2) & $i(all_1692_3) & $i(all_1692_4) & % 258.89/40.94 | $i(all_1692_5) & $i(all_1692_6) & $i(all_1692_7) & $i(all_1692_8) & % 258.89/40.94 | $i(all_1692_9) & $i(all_1692_10) & $i(all_1692_11) & $i(all_1692_12) % 258.89/40.94 | & $i(all_1692_13) & $i(all_1692_14) % 258.89/40.94 | % 258.89/40.94 | ALPHA: (183) implies: % 258.89/40.94 | (184) hAPP(all_1692_9, v_z____) = all_1692_8 % 258.89/40.94 | (185) c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, all_1692_8) = % 258.89/40.94 | all_1692_7 % 258.89/40.94 | (186) c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v_N1____, v_N2____) = % 258.89/40.94 | all_1692_13 % 258.89/40.94 | (187) c_Polynomial_Opoly(tc_Complex_Ocomplex, v_p) = all_1692_9 % 258.89/40.94 | % 258.89/40.94 | DELTA: instantiating (10) with fresh symbol all_1694_0 gives: % 258.89/40.94 | (188) c_Polynomial_Opoly(tc_Complex_Ocomplex, v_p) = all_1694_0 & % 258.89/40.94 | $i(all_1694_0) & ! [v0: $i] : ! [v1: int] : (v1 = 0 | ~ % 258.89/40.94 | (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v_s____) = v1) % 258.89/40.94 | | ~ $i(v0) | ! [v2: $i] : ! [v3: $i] : ( ~ % 258.89/40.94 | (c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v2) = v3) | ~ % 258.89/40.94 | $i(v2) | ? [v4: int] : ( ~ (v4 = 0) & % 258.89/40.94 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v2) = v4) | % 258.89/40.94 | ! [v4: $i] : ! [v5: $i] : ( ~ (hAPP(all_1694_0, v4) = v5) | ~ % 258.89/40.94 | $i(v4) | ? [v6: $i] : ? [v7: any] : ? [v8: $i] : % 258.89/40.94 | (c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v5) = v8 % 258.89/40.94 | & c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v4) = % 258.89/40.94 | v6 & c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v6, % 258.89/40.94 | v_r) = v7 & $i(v8) & $i(v6) & ( ~ (v8 = v3) | ~ (v7 = % 258.89/40.94 | 0)))))) & ! [v0: $i] : ( ~ % 258.89/40.94 | (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v_s____) = 0) % 258.89/40.94 | | ~ $i(v0) | ? [v1: $i] : ? [v2: $i] : % 258.89/40.94 | (c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v1) = v2 & % 258.89/40.94 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v1) = 0 & % 258.89/40.94 | $i(v2) & $i(v1) & ? [v3: $i] : ? [v4: $i] : ? [v5: $i] : % 258.89/40.94 | (c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v5) = v2 & % 258.89/40.94 | c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v3) = v4 & % 258.89/40.94 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v4, v_r) = % 258.89/40.94 | 0 & hAPP(all_1694_0, v3) = v5 & $i(v5) & $i(v4) & $i(v3)))) % 258.89/40.94 | % 258.89/40.94 | ALPHA: (188) implies: % 258.89/40.94 | (189) c_Polynomial_Opoly(tc_Complex_Ocomplex, v_p) = all_1694_0 % 258.89/40.94 | % 258.89/40.94 | DELTA: instantiating (23) with fresh symbol all_1697_0 gives: % 258.89/40.94 | (190) c_Polynomial_Opoly(tc_Complex_Ocomplex, v_p) = all_1697_0 & % 258.89/40.94 | $i(all_1697_0) & ? [v0: $i] : ($i(v0) & ! [v1: $i] : ! [v2: int] : % 258.89/40.94 | (v2 = 0 | ~ (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v1, % 258.89/40.94 | v0) = v2) | ~ $i(v1) | ! [v3: $i] : ! [v4: $i] : ( ~ % 258.89/40.94 | (c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v3) = v4) | % 258.89/40.94 | ~ $i(v3) | ? [v5: int] : ( ~ (v5 = 0) & % 258.89/40.94 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v1, v3) = v5) % 258.89/40.94 | | ! [v5: $i] : ! [v6: $i] : ( ~ (hAPP(all_1697_0, v5) = v6) | % 258.89/40.94 | ~ $i(v5) | ? [v7: $i] : ? [v8: any] : ? [v9: $i] : % 258.89/40.94 | (c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v6) = % 258.89/40.94 | v9 & c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, % 258.89/40.94 | v5) = v7 & % 258.89/40.94 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v7, % 258.89/40.94 | v_r) = v8 & $i(v9) & $i(v7) & ( ~ (v9 = v4) | ~ (v8 = % 258.89/40.94 | 0)))))) & ! [v1: $i] : ( ~ % 258.89/40.94 | (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v1, v0) = 0) | % 258.89/40.94 | ~ $i(v1) | ? [v2: $i] : ? [v3: $i] : % 258.89/40.94 | (c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v2) = v3 & % 258.89/40.94 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v1, v2) = 0 & % 258.89/40.94 | $i(v3) & $i(v2) & ? [v4: $i] : ? [v5: $i] : ? [v6: $i] : % 258.89/40.94 | (c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v6) = v3 % 258.89/40.94 | & c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v4) = % 258.89/40.94 | v5 & c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v5, % 258.89/40.94 | v_r) = 0 & hAPP(all_1697_0, v4) = v6 & $i(v6) & $i(v5) & % 258.89/40.94 | $i(v4))))) % 258.89/40.94 | % 258.89/40.94 | ALPHA: (190) implies: % 258.89/40.94 | (191) c_Polynomial_Opoly(tc_Complex_Ocomplex, v_p) = all_1697_0 % 258.89/40.94 | % 258.89/40.94 | DELTA: instantiating (16) with fresh symbols all_1699_0, all_1699_1 gives: % 258.89/40.94 | (192) c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v_s____) = % 258.89/40.94 | all_1699_0 & c_Polynomial_Opoly(tc_Complex_Ocomplex, v_p) = % 258.89/40.94 | all_1699_1 & $i(all_1699_0) & $i(all_1699_1) & ! [v0: $i] : ! [v1: % 258.89/40.94 | int] : (v1 = 0 | ~ % 258.89/40.94 | (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1699_0, v0) = % 258.89/40.94 | v1) | ~ $i(v0) | ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! % 258.89/40.94 | [v5: $i] : ! [v6: $i] : ( ~ % 258.89/40.94 | (c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v5) = v6) | ~ % 258.89/40.94 | (c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v4) = v5) | ~ % 258.89/40.94 | (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v6, v0) = 0) | % 258.89/40.94 | ~ (c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v3) = v4) % 258.89/40.94 | | ~ (hAPP(all_1699_1, v2) = v3) | ~ $i(v2) | ? [v7: $i] : ? % 258.89/40.94 | [v8: int] : ( ~ (v8 = 0) & % 258.89/40.94 | c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v2) = v7 & % 258.89/40.94 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v7, v_r) = % 258.89/40.94 | v8 & $i(v7)))) & ! [v0: $i] : ( ~ % 258.89/40.94 | (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1699_0, v0) = % 258.89/40.94 | 0) | ~ $i(v0) | ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? % 258.89/40.94 | [v4: $i] : ? [v5: $i] : ? [v6: $i] : % 258.89/40.94 | (c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v5) = v6 & % 258.89/40.94 | c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v4) = v5 & % 258.89/40.94 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v6, v0) = 0 & % 258.89/40.94 | c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v3) = v4 & % 258.89/40.94 | c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v1) = v2 & % 258.89/40.94 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v2, v_r) = 0 % 258.89/40.94 | & hAPP(all_1699_1, v1) = v3 & $i(v6) & $i(v5) & $i(v4) & $i(v3) & % 258.89/40.94 | $i(v2) & $i(v1))) % 258.89/40.94 | % 258.89/40.94 | ALPHA: (192) implies: % 258.89/40.94 | (193) c_Polynomial_Opoly(tc_Complex_Ocomplex, v_p) = all_1699_1 % 258.89/40.94 | % 258.89/40.94 | DELTA: instantiating (34) with fresh symbols all_1702_0, all_1702_1, % 258.89/40.94 | all_1702_2, all_1702_3, all_1702_4, all_1702_5, all_1702_6, all_1702_7, % 258.89/40.94 | all_1702_8, all_1702_9, all_1702_10, all_1702_11, all_1702_12, % 258.89/40.94 | all_1702_13, all_1702_14, all_1702_15 gives: % 258.89/40.95 | (194) c_Int_OBit1(c_Int_OPls) = all_1702_3 & c_Int_OBit0(all_1702_3) = % 258.89/40.95 | all_1702_2 & c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, % 258.89/40.95 | all_1702_2) = all_1702_1 & % 258.89/40.95 | c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, all_1702_4, % 258.89/40.95 | all_1702_1) = all_1702_0 & % 258.89/40.95 | c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v_s____) = % 258.89/40.95 | all_1702_6 & c_Polynomial_Opoly(tc_Complex_Ocomplex, v_p) = % 258.89/40.95 | all_1702_15 & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, % 258.89/40.95 | all_1702_8, all_1702_0) = 0 & % 258.89/40.95 | c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, all_1702_5) = all_1702_4 % 258.89/40.95 | & c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex, all_1702_11, % 258.89/40.95 | all_1702_10) = all_1702_9 & % 258.89/40.95 | c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal, all_1702_7, % 258.89/40.95 | all_1702_6) = all_1702_5 & c_Groups_Oplus__class_Oplus(tc_Nat_Onat, % 258.89/40.95 | v_N1____, v_N2____) = all_1702_14 & v_g____(all_1702_13) = % 258.89/40.95 | all_1702_12 & c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, % 258.89/40.95 | all_1702_9) = all_1702_8 & % 258.89/40.95 | c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, all_1702_10) = % 258.89/40.95 | all_1702_7 & hAPP(all_1702_15, all_1702_12) = all_1702_11 & % 258.89/40.95 | hAPP(all_1702_15, v_z____) = all_1702_10 & hAPP(v_f____, all_1702_14) % 258.89/40.95 | = all_1702_13 & $i(all_1702_0) & $i(all_1702_1) & $i(all_1702_2) & % 258.89/40.95 | $i(all_1702_3) & $i(all_1702_4) & $i(all_1702_5) & $i(all_1702_6) & % 258.89/40.95 | $i(all_1702_7) & $i(all_1702_8) & $i(all_1702_9) & $i(all_1702_10) & % 258.89/40.95 | $i(all_1702_11) & $i(all_1702_12) & $i(all_1702_13) & $i(all_1702_14) % 258.89/40.95 | & $i(all_1702_15) % 258.89/40.95 | % 258.89/40.95 | ALPHA: (194) implies: % 258.89/40.95 | (195) $i(all_1702_9) % 258.89/40.95 | (196) hAPP(v_f____, all_1702_14) = all_1702_13 % 258.89/40.95 | (197) hAPP(all_1702_15, v_z____) = all_1702_10 % 258.89/40.95 | (198) hAPP(all_1702_15, all_1702_12) = all_1702_11 % 258.89/40.95 | (199) c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, all_1702_10) = % 258.89/40.95 | all_1702_7 % 258.89/40.95 | (200) c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, all_1702_9) = % 258.89/40.95 | all_1702_8 % 258.89/40.95 | (201) v_g____(all_1702_13) = all_1702_12 % 258.89/40.95 | (202) c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v_N1____, v_N2____) = % 258.89/40.95 | all_1702_14 % 258.89/40.95 | (203) c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex, all_1702_11, % 258.89/40.95 | all_1702_10) = all_1702_9 % 258.89/40.95 | (204) c_Polynomial_Opoly(tc_Complex_Ocomplex, v_p) = all_1702_15 % 258.89/40.95 | % 258.89/40.95 | DELTA: instantiating (38) with fresh symbols all_1704_0, all_1704_1, % 258.89/40.95 | all_1704_2, all_1704_3, all_1704_4, all_1704_5, all_1704_6, all_1704_7, % 258.89/40.95 | all_1704_8, all_1704_9 gives: % 258.89/40.95 | (205) c_Int_OBit1(c_Int_OPls) = all_1704_3 & c_Int_OBit0(all_1704_3) = % 258.89/40.95 | all_1704_2 & c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, % 258.89/40.95 | all_1704_2) = all_1704_1 & % 258.89/40.95 | c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, all_1704_4, % 258.89/40.95 | all_1704_1) = all_1704_0 & % 258.89/40.95 | c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v_s____) = % 258.89/40.95 | all_1704_6 & c_Polynomial_Opoly(tc_Complex_Ocomplex, v_p) = % 258.89/40.95 | all_1704_9 & c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, all_1704_5) % 258.89/40.95 | = all_1704_4 & c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal, % 258.89/40.95 | all_1704_7, all_1704_6) = all_1704_5 & % 258.89/40.95 | c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, all_1704_8) = % 258.89/40.95 | all_1704_7 & hAPP(all_1704_9, v_z____) = all_1704_8 & $i(all_1704_0) % 258.89/40.95 | & $i(all_1704_1) & $i(all_1704_2) & $i(all_1704_3) & $i(all_1704_4) & % 258.89/40.95 | $i(all_1704_5) & $i(all_1704_6) & $i(all_1704_7) & $i(all_1704_8) & % 258.89/40.95 | $i(all_1704_9) & ! [v0: $i] : ! [v1: $i] : ( ~ (hAPP(all_1704_9, % 258.89/40.95 | v0) = v1) | ~ $i(v0) | ? [v2: $i] : ? [v3: $i] : ? [v4: % 258.89/40.95 | any] : ? [v5: $i] : ? [v6: $i] : ? [v7: any] : % 258.89/40.95 | (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v6, all_1704_0) = % 258.89/40.95 | v7 & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v3, v_d____) % 258.89/40.95 | = v4 & c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex, v1, % 258.89/40.95 | all_1704_8) = v5 & % 258.89/40.95 | c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex, v0, v_z____) = % 258.89/40.95 | v2 & c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v5) = % 258.89/40.95 | v6 & c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v2) = % 258.89/40.95 | v3 & $i(v6) & $i(v5) & $i(v3) & $i(v2) & ( ~ (v4 = 0) | v7 = 0))) % 258.89/40.95 | % 258.89/40.95 | ALPHA: (205) implies: % 258.89/40.95 | (206) hAPP(all_1704_9, v_z____) = all_1704_8 % 258.89/40.95 | (207) c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, all_1704_8) = % 258.89/40.95 | all_1704_7 % 258.89/40.95 | (208) c_Polynomial_Opoly(tc_Complex_Ocomplex, v_p) = all_1704_9 % 258.89/40.95 | % 258.89/40.95 | DELTA: instantiating (41) with fresh symbols all_1707_0, all_1707_1, % 258.89/40.95 | all_1707_2, all_1707_3, all_1707_4, all_1707_5, all_1707_6, all_1707_7, % 258.89/40.95 | all_1707_8, all_1707_9, all_1707_10, all_1707_11, all_1707_12, % 258.89/40.95 | all_1707_13, all_1707_14, all_1707_15, all_1707_16 gives: % 258.89/40.95 | (209) c_Int_OBit1(c_Int_OPls) = all_1707_3 & c_Int_OBit0(all_1707_3) = % 258.89/40.95 | all_1707_2 & c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, % 258.89/40.95 | all_1707_2) = all_1707_1 & % 258.89/40.95 | c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, all_1707_4, % 258.89/40.95 | all_1707_1) = all_1707_0 & % 258.89/40.95 | c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v_s____) = % 258.89/40.95 | all_1707_10 & c_Polynomial_Opoly(tc_Complex_Ocomplex, v_p) = % 258.89/40.95 | all_1707_16 & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, % 258.89/40.95 | all_1707_8, all_1707_0) = 0 & % 258.89/40.95 | c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, all_1707_5) = all_1707_4 % 258.89/40.95 | & c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, all_1707_9) = % 258.89/40.95 | all_1707_8 & c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal, % 258.89/40.95 | all_1707_6, all_1707_10) = all_1707_5 & % 258.89/40.95 | c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal, all_1707_11, % 258.89/40.95 | all_1707_10) = all_1707_9 & % 258.89/40.95 | c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v_N1____, v_N2____) = % 258.89/40.95 | all_1707_15 & v_g____(all_1707_14) = all_1707_13 & % 258.89/40.95 | c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, all_1707_7) = % 258.89/40.95 | all_1707_6 & c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, % 258.89/40.95 | all_1707_12) = all_1707_11 & hAPP(all_1707_16, all_1707_13) = % 258.89/40.95 | all_1707_12 & hAPP(all_1707_16, v_z____) = all_1707_7 & hAPP(v_f____, % 258.89/40.95 | all_1707_15) = all_1707_14 & $i(all_1707_0) & $i(all_1707_1) & % 258.89/40.95 | $i(all_1707_2) & $i(all_1707_3) & $i(all_1707_4) & $i(all_1707_5) & % 258.89/40.95 | $i(all_1707_6) & $i(all_1707_7) & $i(all_1707_8) & $i(all_1707_9) & % 258.89/40.95 | $i(all_1707_10) & $i(all_1707_11) & $i(all_1707_12) & $i(all_1707_13) % 258.89/40.95 | & $i(all_1707_14) & $i(all_1707_15) & $i(all_1707_16) % 258.89/40.95 | % 258.89/40.95 | ALPHA: (209) implies: % 258.89/40.95 | (210) hAPP(v_f____, all_1707_15) = all_1707_14 % 258.89/40.95 | (211) hAPP(all_1707_16, v_z____) = all_1707_7 % 258.89/40.95 | (212) hAPP(all_1707_16, all_1707_13) = all_1707_12 % 258.89/40.95 | (213) c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, all_1707_12) = % 258.89/40.95 | all_1707_11 % 258.89/40.95 | (214) c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, all_1707_7) = % 258.89/40.95 | all_1707_6 % 258.89/40.95 | (215) v_g____(all_1707_14) = all_1707_13 % 258.89/40.95 | (216) c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v_N1____, v_N2____) = % 258.89/40.95 | all_1707_15 % 258.89/40.95 | (217) c_Polynomial_Opoly(tc_Complex_Ocomplex, v_p) = all_1707_16 % 258.89/40.95 | % 258.89/40.95 | DELTA: instantiating (36) with fresh symbols all_1709_0, all_1709_1, % 258.89/40.95 | all_1709_2, all_1709_3, all_1709_4, all_1709_5, all_1709_6, all_1709_7, % 258.89/40.95 | all_1709_8, all_1709_9, all_1709_10 gives: % 258.89/40.95 | (218) c_Int_OBit1(c_Int_OPls) = all_1709_3 & c_Int_OBit0(all_1709_3) = % 258.89/40.95 | all_1709_2 & c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, % 258.89/40.95 | all_1709_2) = all_1709_1 & % 258.89/40.95 | c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, all_1709_4, % 258.89/40.95 | all_1709_1) = all_1709_0 & % 258.89/40.95 | c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v_s____) = % 258.89/40.95 | all_1709_6 & c_Polynomial_Opoly(tc_Complex_Ocomplex, v_p) = % 258.89/40.95 | all_1709_9 & c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = % 258.89/40.95 | all_1709_10 & c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, all_1709_5) % 258.89/40.95 | = all_1709_4 & c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal, % 258.89/40.95 | all_1709_7, all_1709_6) = all_1709_5 & % 258.89/40.95 | c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, all_1709_8) = % 258.89/40.95 | all_1709_7 & hAPP(all_1709_9, v_z____) = all_1709_8 & $i(all_1709_0) % 258.89/40.95 | & $i(all_1709_1) & $i(all_1709_2) & $i(all_1709_3) & $i(all_1709_4) & % 258.89/40.95 | $i(all_1709_5) & $i(all_1709_6) & $i(all_1709_7) & $i(all_1709_8) & % 258.89/40.95 | $i(all_1709_9) & $i(all_1709_10) & ! [v0: $i] : ! [v1: $i] : ( ~ % 258.89/40.95 | (hAPP(all_1709_9, v0) = v1) | ~ $i(v0) | ? [v2: $i] : ? [v3: $i] % 258.89/40.95 | : ? [v4: any] : ? [v5: any] : ? [v6: $i] : ? [v7: $i] : ? [v8: % 258.89/40.95 | any] : (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v7, % 258.89/40.95 | all_1709_0) = v8 & % 258.89/40.95 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v3, v_d____) = v5 % 258.89/40.95 | & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1709_10, % 258.89/40.95 | v3) = v4 & c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex, % 258.89/40.95 | v1, all_1709_8) = v6 & % 258.89/40.95 | c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex, v0, v_z____) = % 258.89/40.95 | v2 & c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v6) = % 258.89/40.95 | v7 & c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v2) = % 258.89/40.95 | v3 & $i(v7) & $i(v6) & $i(v3) & $i(v2) & ( ~ (v5 = 0) | ~ (v4 = % 258.89/40.95 | 0) | v8 = 0))) % 258.89/40.95 | % 258.89/40.95 | ALPHA: (218) implies: % 258.89/40.95 | (219) hAPP(all_1709_9, v_z____) = all_1709_8 % 258.89/40.95 | (220) c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, all_1709_8) = % 258.89/40.95 | all_1709_7 % 258.89/40.95 | (221) c_Polynomial_Opoly(tc_Complex_Ocomplex, v_p) = all_1709_9 % 258.89/40.95 | % 258.89/40.95 | DELTA: instantiating (42) with fresh symbols all_1712_0, all_1712_1, % 258.89/40.95 | all_1712_2, all_1712_3, all_1712_4, all_1712_5, all_1712_6, all_1712_7, % 258.89/40.95 | all_1712_8, all_1712_9, all_1712_10 gives: % 258.89/40.95 | (222) c_Int_OBit1(c_Int_OPls) = all_1712_3 & c_Int_OBit0(all_1712_3) = % 258.89/40.95 | all_1712_2 & c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, % 258.89/40.95 | all_1712_2) = all_1712_1 & % 258.89/40.95 | c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, all_1712_4, % 258.89/40.95 | all_1712_1) = all_1712_0 & % 258.89/40.95 | c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v_s____) = % 258.89/40.95 | all_1712_6 & c_Polynomial_Opoly(tc_Complex_Ocomplex, v_p) = % 258.89/40.95 | all_1712_9 & c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = % 258.89/40.95 | all_1712_10 & c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, all_1712_5) % 258.89/40.95 | = all_1712_4 & c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal, % 258.89/40.95 | all_1712_7, all_1712_6) = all_1712_5 & % 258.89/40.95 | c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, all_1712_8) = % 258.89/40.95 | all_1712_7 & hAPP(all_1712_9, v_z____) = all_1712_8 & $i(all_1712_0) % 258.89/40.95 | & $i(all_1712_1) & $i(all_1712_2) & $i(all_1712_3) & $i(all_1712_4) & % 258.89/40.95 | $i(all_1712_5) & $i(all_1712_6) & $i(all_1712_7) & $i(all_1712_8) & % 258.89/40.95 | $i(all_1712_9) & $i(all_1712_10) & ? [v0: $i] : % 258.89/40.95 | (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1712_10, v0) = 0 % 258.89/40.95 | & $i(v0) & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~ % 258.89/40.95 | (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v3, v0) = 0) | % 258.89/40.95 | ~ (c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex, v1, % 258.89/40.95 | v_z____) = v2) | ~ % 258.89/40.95 | (c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v2) = v3) | % 258.89/40.95 | ~ $i(v1) | ? [v4: any] : ? [v5: $i] : ? [v6: $i] : ? [v7: % 258.89/40.95 | $i] : ? [v8: any] : % 258.89/40.95 | (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v7, all_1712_0) % 258.89/40.95 | = v8 & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, % 258.89/40.95 | all_1712_10, v3) = v4 & % 258.89/40.95 | c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex, v5, % 258.89/40.95 | all_1712_8) = v6 & % 258.89/40.95 | c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v6) = v7 & % 258.89/40.95 | hAPP(all_1712_9, v1) = v5 & $i(v7) & $i(v6) & $i(v5) & ( ~ (v4 % 258.89/40.95 | = 0) | v8 = 0)))) % 258.89/40.95 | % 258.89/40.95 | ALPHA: (222) implies: % 258.89/40.95 | (223) hAPP(all_1712_9, v_z____) = all_1712_8 % 258.89/40.95 | (224) c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, all_1712_8) = % 258.89/40.95 | all_1712_7 % 258.89/40.95 | (225) c_Polynomial_Opoly(tc_Complex_Ocomplex, v_p) = all_1712_9 % 258.89/40.95 | % 258.89/40.95 | DELTA: instantiating (44) with fresh symbols all_1714_0, all_1714_1, % 258.89/40.95 | all_1714_2, all_1714_3, all_1714_4, all_1714_5, all_1714_6, all_1714_7, % 258.89/40.95 | all_1714_8, all_1714_9, all_1714_10, all_1714_11, all_1714_12, % 258.89/40.95 | all_1714_13, all_1714_14, all_1714_15, all_1714_16, all_1714_17, % 258.89/40.95 | all_1714_18 gives: % 258.89/40.96 | (226) c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal, all_1714_6) = % 258.89/40.96 | all_1714_2 & c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal, % 258.89/40.96 | all_1714_9) = all_1714_1 & c_Int_OBit1(c_Int_OPls) = all_1714_18 & % 258.89/40.96 | c_Int_OBit0(all_1714_18) = all_1714_17 & % 258.89/40.96 | c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, all_1714_17) = % 258.89/40.96 | all_1714_16 & c_Nat_OSuc(all_1714_8) = all_1714_7 & % 258.89/40.96 | c_RealDef_Oreal(tc_Nat_Onat, all_1714_7) = all_1714_6 & % 258.89/40.96 | c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, all_1714_16, % 258.89/40.96 | all_1714_10) = all_1714_9 & % 258.89/40.96 | c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v_s____) = % 258.89/40.96 | all_1714_12 & c_Polynomial_Opoly(tc_Complex_Ocomplex, v_p) = % 258.89/40.96 | all_1714_15 & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, % 258.89/40.96 | all_1714_2, all_1714_1) = all_1714_0 & % 258.89/40.96 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1714_4, % 258.89/40.96 | all_1714_9) = all_1714_3 & % 258.89/40.96 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1714_9, % 258.89/40.96 | all_1714_6) = all_1714_5 & % 258.89/40.96 | c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1714_4 & % 258.89/40.96 | c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, all_1714_11) = % 258.89/40.96 | all_1714_10 & c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal, % 258.89/40.96 | all_1714_13, all_1714_12) = all_1714_11 & % 258.89/40.96 | c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v_N1____, v_N2____) = % 258.89/40.96 | all_1714_8 & c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, % 258.89/40.96 | all_1714_14) = all_1714_13 & hAPP(all_1714_15, v_z____) = % 258.89/40.96 | all_1714_14 & $i(all_1714_1) & $i(all_1714_2) & $i(all_1714_4) & % 258.89/40.96 | $i(all_1714_6) & $i(all_1714_7) & $i(all_1714_8) & $i(all_1714_9) & % 258.89/40.96 | $i(all_1714_10) & $i(all_1714_11) & $i(all_1714_12) & $i(all_1714_13) % 258.89/40.96 | & $i(all_1714_14) & $i(all_1714_15) & $i(all_1714_16) & % 258.89/40.96 | $i(all_1714_17) & $i(all_1714_18) & ( ~ (all_1714_3 = 0) | ~ % 258.89/40.96 | (all_1714_5 = 0) | all_1714_0 = 0) % 258.89/40.96 | % 258.89/40.96 | ALPHA: (226) implies: % 258.89/40.96 | (227) hAPP(all_1714_15, v_z____) = all_1714_14 % 258.89/40.96 | (228) c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, all_1714_14) = % 258.89/40.96 | all_1714_13 % 258.89/40.96 | (229) c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v_N1____, v_N2____) = % 258.89/40.96 | all_1714_8 % 258.89/40.96 | (230) c_Polynomial_Opoly(tc_Complex_Ocomplex, v_p) = all_1714_15 % 258.89/40.96 | % 258.89/40.96 | DELTA: instantiating (71) with fresh symbols all_1729_0, all_1729_1, % 258.89/40.96 | all_1729_2, all_1729_3, all_1729_4 gives: % 258.89/40.96 | (231) c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, all_1729_4) = % 258.89/40.96 | all_1729_0 & c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, % 258.89/40.96 | all_1729_1) = all_1729_0 & % 258.89/40.96 | c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, all_1729_3) = % 258.89/40.96 | all_1729_2 & c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, % 258.89/40.96 | all_1729_2, v_r) = 0 & hAPP(all_1335_0, all_1729_3) = all_1729_1 & % 258.89/40.96 | $i(all_1729_0) & $i(all_1729_1) & $i(all_1729_2) & $i(all_1729_3) & % 258.89/40.96 | $i(all_1729_4) % 258.89/40.96 | % 258.89/40.96 | ALPHA: (231) implies: % 258.89/40.96 | (232) $i(all_1729_3) % 258.89/40.96 | (233) $i(all_1729_1) % 258.89/40.96 | (234) c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, all_1729_3) = % 258.89/40.96 | all_1729_2 % 258.89/40.96 | (235) c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, all_1729_1) = % 258.89/40.96 | all_1729_0 % 258.89/40.96 | % 258.89/40.96 | GROUND_INST: instantiating (54) with all_1665_10, all_1667_9, v_N2____, % 258.89/40.96 | v_N1____, tc_Nat_Onat, simplifying with (147), (151) gives: % 258.89/40.96 | (236) all_1667_9 = all_1665_10 % 258.89/40.96 | % 258.89/40.96 | GROUND_INST: instantiating (54) with all_1665_10, all_1669_11, v_N2____, % 258.89/40.96 | v_N1____, tc_Nat_Onat, simplifying with (147), (162) gives: % 258.89/40.96 | (237) all_1669_11 = all_1665_10 % 258.89/40.96 | % 258.89/40.96 | GROUND_INST: instantiating (54) with all_1663_10, all_1669_11, v_N2____, % 258.89/40.96 | v_N1____, tc_Nat_Onat, simplifying with (140), (162) gives: % 258.89/40.96 | (238) all_1669_11 = all_1663_10 % 258.89/40.96 | % 258.89/40.96 | GROUND_INST: instantiating (54) with all_1448_4, all_1669_11, v_N2____, % 258.89/40.96 | v_N1____, tc_Nat_Onat, simplifying with (96), (162) gives: % 258.89/40.96 | (239) all_1669_11 = all_1448_4 % 258.89/40.96 | % 258.89/40.96 | GROUND_INST: instantiating (54) with all_1098_1, all_1669_11, v_N2____, % 258.89/40.96 | v_N1____, tc_Nat_Onat, simplifying with (62), (162) gives: % 258.89/40.96 | (240) all_1669_11 = all_1098_1 % 258.89/40.96 | % 258.89/40.96 | GROUND_INST: instantiating (54) with all_1667_9, all_1679_11, v_N2____, % 258.89/40.96 | v_N1____, tc_Nat_Onat, simplifying with (151), (176) gives: % 258.89/40.96 | (241) all_1679_11 = all_1667_9 % 258.89/40.96 | % 258.89/40.96 | GROUND_INST: instantiating (54) with all_1679_11, all_1681_2, v_N2____, % 258.89/40.96 | v_N1____, tc_Nat_Onat, simplifying with (176), (181) gives: % 258.89/40.96 | (242) all_1681_2 = all_1679_11 % 258.89/40.96 | % 258.89/40.96 | GROUND_INST: instantiating (54) with all_1681_2, all_1692_13, v_N2____, % 258.89/40.96 | v_N1____, tc_Nat_Onat, simplifying with (181), (186) gives: % 258.89/40.96 | (243) all_1692_13 = all_1681_2 % 258.89/40.96 | % 258.89/40.96 | GROUND_INST: instantiating (54) with all_1692_13, all_1702_14, v_N2____, % 258.89/40.96 | v_N1____, tc_Nat_Onat, simplifying with (186), (202) gives: % 258.89/40.96 | (244) all_1702_14 = all_1692_13 % 258.89/40.96 | % 258.89/40.96 | GROUND_INST: instantiating (54) with all_1702_14, all_1707_15, v_N2____, % 258.89/40.96 | v_N1____, tc_Nat_Onat, simplifying with (202), (216) gives: % 258.89/40.96 | (245) all_1707_15 = all_1702_14 % 258.89/40.96 | % 258.89/40.96 | GROUND_INST: instantiating (54) with all_1707_15, all_1714_8, v_N2____, % 258.89/40.96 | v_N1____, tc_Nat_Onat, simplifying with (216), (229) gives: % 258.89/40.96 | (246) all_1714_8 = all_1707_15 % 258.89/40.96 | % 258.89/40.96 | GROUND_INST: instantiating (54) with all_1611_7, all_1714_8, v_N2____, % 258.89/40.96 | v_N1____, tc_Nat_Onat, simplifying with (106), (229) gives: % 258.89/40.96 | (247) all_1714_8 = all_1611_7 % 258.89/40.96 | % 258.89/40.96 | GROUND_INST: instantiating (50) with all_978_0, all_1408_5, % 258.89/40.96 | tc_Complex_Ocomplex, simplifying with (59), (81) gives: % 258.89/40.96 | (248) all_1408_5 = all_978_0 % 258.89/40.96 | % 258.89/40.96 | GROUND_INST: instantiating (53) with all_1408_3, all_1410_0, v_p, % 258.89/40.96 | tc_Complex_Ocomplex, simplifying with (82), (84) gives: % 258.89/40.96 | (249) all_1410_0 = all_1408_3 % 258.89/40.96 | % 258.89/40.96 | GROUND_INST: instantiating (53) with all_1410_0, all_1437_5, v_p, % 258.89/40.96 | tc_Complex_Ocomplex, simplifying with (84), (90) gives: % 258.89/40.96 | (250) all_1437_5 = all_1410_0 % 258.89/40.96 | % 258.89/40.96 | GROUND_INST: instantiating (53) with all_1437_5, all_1448_5, v_p, % 258.89/40.96 | tc_Complex_Ocomplex, simplifying with (90), (97) gives: % 258.89/40.96 | (251) all_1448_5 = all_1437_5 % 258.89/40.96 | % 258.89/40.96 | GROUND_INST: instantiating (53) with all_1639_2, all_1641_2, v_p, % 258.89/40.96 | tc_Complex_Ocomplex, simplifying with (110), (112) gives: % 258.89/40.96 | (252) all_1641_2 = all_1639_2 % 258.89/40.96 | % 258.89/40.96 | GROUND_INST: instantiating (53) with all_1641_2, all_1643_7, v_p, % 258.89/40.96 | tc_Complex_Ocomplex, simplifying with (112), (117) gives: % 258.89/40.96 | (253) all_1643_7 = all_1641_2 % 258.89/40.96 | % 258.89/40.96 | GROUND_INST: instantiating (53) with all_1643_7, all_1645_2, v_p, % 258.89/40.96 | tc_Complex_Ocomplex, simplifying with (117), (119) gives: % 258.89/40.96 | (254) all_1645_2 = all_1643_7 % 258.89/40.96 | % 258.89/40.96 | GROUND_INST: instantiating (53) with all_1408_3, all_1648_9, v_p, % 258.89/40.96 | tc_Complex_Ocomplex, simplifying with (82), (123) gives: % 258.89/40.96 | (255) all_1648_9 = all_1408_3 % 258.89/40.96 | % 258.89/40.96 | GROUND_INST: instantiating (53) with all_1631_0, all_1653_2, v_p, % 258.89/40.96 | tc_Complex_Ocomplex, simplifying with (108), (125) gives: % 258.89/40.96 | (256) all_1653_2 = all_1631_0 % 258.89/40.96 | % 258.89/40.96 | GROUND_INST: instantiating (53) with all_1653_2, all_1656_6, v_p, % 258.89/40.96 | tc_Complex_Ocomplex, simplifying with (125), (129) gives: % 258.89/40.96 | (257) all_1656_6 = all_1653_2 % 258.89/40.96 | % 258.89/40.96 | GROUND_INST: instantiating (53) with all_1648_9, all_1663_11, v_p, % 258.89/40.96 | tc_Complex_Ocomplex, simplifying with (123), (141) gives: % 258.89/40.96 | (258) all_1663_11 = all_1648_9 % 258.89/40.96 | % 258.89/40.96 | GROUND_INST: instantiating (53) with all_1335_0, all_1663_11, v_p, % 258.89/40.96 | tc_Complex_Ocomplex, simplifying with (70), (141) gives: % 258.89/40.96 | (259) all_1663_11 = all_1335_0 % 258.89/40.96 | % 258.89/40.96 | GROUND_INST: instantiating (53) with all_1631_0, all_1665_11, v_p, % 258.89/40.96 | tc_Complex_Ocomplex, simplifying with (108), (148) gives: % 258.89/40.96 | (260) all_1665_11 = all_1631_0 % 258.89/40.96 | % 258.89/40.96 | GROUND_INST: instantiating (53) with all_1500_2, all_1665_11, v_p, % 258.89/40.96 | tc_Complex_Ocomplex, simplifying with (101), (148) gives: % 258.89/40.96 | (261) all_1665_11 = all_1500_2 % 258.89/40.96 | % 258.89/40.96 | GROUND_INST: instantiating (53) with all_1448_5, all_1665_11, v_p, % 258.89/40.96 | tc_Complex_Ocomplex, simplifying with (97), (148) gives: % 258.89/40.96 | (262) all_1665_11 = all_1448_5 % 258.89/40.96 | % 258.89/40.96 | GROUND_INST: instantiating (53) with all_1656_6, all_1669_12, v_p, % 258.89/40.96 | tc_Complex_Ocomplex, simplifying with (129), (166) gives: % 258.89/40.96 | (263) all_1669_12 = all_1656_6 % 258.89/40.96 | % 258.89/40.96 | GROUND_INST: instantiating (53) with all_1669_12, all_1671_2, v_p, % 258.89/40.96 | tc_Complex_Ocomplex, simplifying with (166), (168) gives: % 258.89/40.96 | (264) all_1671_2 = all_1669_12 % 258.89/40.96 | % 258.89/40.96 | GROUND_INST: instantiating (53) with all_1671_2, all_1673_1, v_p, % 258.89/40.96 | tc_Complex_Ocomplex, simplifying with (168), (170) gives: % 258.89/40.96 | (265) all_1673_1 = all_1671_2 % 258.89/40.96 | % 258.89/40.97 | GROUND_INST: instantiating (53) with all_1665_11, all_1679_12, v_p, % 258.89/40.97 | tc_Complex_Ocomplex, simplifying with (148), (177) gives: % 258.89/40.97 | (266) all_1679_12 = all_1665_11 % 258.89/40.97 | % 258.89/40.97 | GROUND_INST: instantiating (53) with all_1639_2, all_1679_12, v_p, % 258.89/40.97 | tc_Complex_Ocomplex, simplifying with (110), (177) gives: % 258.89/40.97 | (267) all_1679_12 = all_1639_2 % 258.89/40.97 | % 258.89/40.97 | GROUND_INST: instantiating (53) with all_1596_1, all_1679_12, v_p, % 258.89/40.97 | tc_Complex_Ocomplex, simplifying with (103), (177) gives: % 258.89/40.97 | (268) all_1679_12 = all_1596_1 % 258.89/40.97 | % 258.89/40.97 | GROUND_INST: instantiating (53) with all_1673_1, all_1681_9, v_p, % 258.89/40.97 | tc_Complex_Ocomplex, simplifying with (170), (182) gives: % 258.89/40.97 | (269) all_1681_9 = all_1673_1 % 258.89/40.97 | % 258.89/40.97 | GROUND_INST: instantiating (53) with all_1694_0, all_1697_0, v_p, % 258.89/40.97 | tc_Complex_Ocomplex, simplifying with (189), (191) gives: % 258.89/40.97 | (270) all_1697_0 = all_1694_0 % 258.89/40.97 | % 258.89/40.97 | GROUND_INST: instantiating (53) with all_1692_9, all_1697_0, v_p, % 258.89/40.97 | tc_Complex_Ocomplex, simplifying with (187), (191) gives: % 258.89/40.97 | (271) all_1697_0 = all_1692_9 % 258.89/40.97 | % 258.89/40.97 | GROUND_INST: instantiating (53) with all_1679_12, all_1697_0, v_p, % 258.89/40.97 | tc_Complex_Ocomplex, simplifying with (177), (191) gives: % 258.89/40.97 | (272) all_1697_0 = all_1679_12 % 258.89/40.97 | % 258.89/40.97 | GROUND_INST: instantiating (53) with all_1658_6, all_1697_0, v_p, % 258.89/40.97 | tc_Complex_Ocomplex, simplifying with (133), (191) gives: % 258.89/40.97 | (273) all_1697_0 = all_1658_6 % 258.89/40.97 | % 258.89/40.97 | GROUND_INST: instantiating (53) with all_1681_9, all_1699_1, v_p, % 258.89/40.97 | tc_Complex_Ocomplex, simplifying with (182), (193) gives: % 258.89/40.97 | (274) all_1699_1 = all_1681_9 % 258.89/40.97 | % 258.89/40.97 | GROUND_INST: instantiating (53) with all_1645_2, all_1702_15, v_p, % 258.89/40.97 | tc_Complex_Ocomplex, simplifying with (119), (204) gives: % 258.89/40.97 | (275) all_1702_15 = all_1645_2 % 258.89/40.97 | % 258.89/40.97 | GROUND_INST: instantiating (53) with all_1699_1, all_1704_9, v_p, % 258.89/40.97 | tc_Complex_Ocomplex, simplifying with (193), (208) gives: % 258.89/40.97 | (276) all_1704_9 = all_1699_1 % 258.89/40.97 | % 258.89/40.97 | GROUND_INST: instantiating (53) with all_1702_15, all_1707_16, v_p, % 258.89/40.97 | tc_Complex_Ocomplex, simplifying with (204), (217) gives: % 258.89/40.97 | (277) all_1707_16 = all_1702_15 % 258.89/40.97 | % 258.89/40.97 | GROUND_INST: instantiating (53) with all_1707_16, all_1709_9, v_p, % 258.89/40.97 | tc_Complex_Ocomplex, simplifying with (217), (221) gives: % 258.89/40.97 | (278) all_1709_9 = all_1707_16 % 258.89/40.97 | % 258.89/40.97 | GROUND_INST: instantiating (53) with all_1450_0, all_1709_9, v_p, % 258.89/40.97 | tc_Complex_Ocomplex, simplifying with (99), (221) gives: % 258.89/40.97 | (279) all_1709_9 = all_1450_0 % 258.89/40.97 | % 258.89/40.97 | GROUND_INST: instantiating (53) with all_1712_9, all_1714_15, v_p, % 258.89/40.97 | tc_Complex_Ocomplex, simplifying with (225), (230) gives: % 258.89/40.97 | (280) all_1714_15 = all_1712_9 % 258.89/40.97 | % 258.89/40.97 | GROUND_INST: instantiating (53) with all_1704_9, all_1714_15, v_p, % 258.89/40.97 | tc_Complex_Ocomplex, simplifying with (208), (230) gives: % 258.89/40.97 | (281) all_1714_15 = all_1704_9 % 258.89/40.97 | % 258.89/40.97 | GROUND_INST: instantiating (53) with all_1285_0, all_1714_15, v_p, % 258.89/40.97 | tc_Complex_Ocomplex, simplifying with (68), (230) gives: % 258.89/40.97 | (282) all_1714_15 = all_1285_0 % 258.89/40.97 | % 258.89/40.97 | COMBINE_EQS: (246), (247) imply: % 258.89/40.97 | (283) all_1707_15 = all_1611_7 % 258.89/40.97 | % 258.89/40.97 | SIMP: (283) implies: % 258.89/40.97 | (284) all_1707_15 = all_1611_7 % 258.89/40.97 | % 258.89/40.97 | COMBINE_EQS: (280), (282) imply: % 258.89/40.97 | (285) all_1712_9 = all_1285_0 % 258.89/40.97 | % 258.89/40.97 | COMBINE_EQS: (280), (281) imply: % 258.89/40.97 | (286) all_1712_9 = all_1704_9 % 258.89/40.97 | % 258.89/40.97 | COMBINE_EQS: (285), (286) imply: % 258.89/40.97 | (287) all_1704_9 = all_1285_0 % 258.89/40.97 | % 258.89/40.97 | SIMP: (287) implies: % 258.89/40.97 | (288) all_1704_9 = all_1285_0 % 258.89/40.97 | % 258.89/40.97 | COMBINE_EQS: (278), (279) imply: % 258.89/40.97 | (289) all_1707_16 = all_1450_0 % 258.89/40.97 | % 258.89/40.97 | SIMP: (289) implies: % 258.89/40.97 | (290) all_1707_16 = all_1450_0 % 258.89/40.97 | % 258.89/40.97 | COMBINE_EQS: (245), (284) imply: % 258.89/40.97 | (291) all_1702_14 = all_1611_7 % 258.89/40.97 | % 258.89/40.97 | SIMP: (291) implies: % 258.89/40.97 | (292) all_1702_14 = all_1611_7 % 258.89/40.97 | % 258.89/40.97 | COMBINE_EQS: (277), (290) imply: % 258.89/40.97 | (293) all_1702_15 = all_1450_0 % 258.89/40.97 | % 258.89/40.97 | SIMP: (293) implies: % 258.89/40.97 | (294) all_1702_15 = all_1450_0 % 258.89/40.97 | % 258.89/40.97 | COMBINE_EQS: (276), (288) imply: % 258.89/40.97 | (295) all_1699_1 = all_1285_0 % 258.89/40.97 | % 258.89/40.97 | SIMP: (295) implies: % 258.89/40.97 | (296) all_1699_1 = all_1285_0 % 258.89/40.97 | % 258.89/40.97 | COMBINE_EQS: (244), (292) imply: % 258.89/40.97 | (297) all_1692_13 = all_1611_7 % 258.89/40.97 | % 258.89/40.97 | SIMP: (297) implies: % 258.89/40.97 | (298) all_1692_13 = all_1611_7 % 258.89/40.97 | % 258.89/40.97 | COMBINE_EQS: (275), (294) imply: % 258.89/40.97 | (299) all_1645_2 = all_1450_0 % 258.89/40.97 | % 258.89/40.97 | SIMP: (299) implies: % 258.89/40.97 | (300) all_1645_2 = all_1450_0 % 258.89/40.97 | % 258.89/40.97 | COMBINE_EQS: (274), (296) imply: % 258.89/40.97 | (301) all_1681_9 = all_1285_0 % 258.89/40.97 | % 258.89/40.97 | SIMP: (301) implies: % 258.89/40.97 | (302) all_1681_9 = all_1285_0 % 258.89/40.97 | % 258.89/40.97 | COMBINE_EQS: (270), (272) imply: % 258.89/40.97 | (303) all_1694_0 = all_1679_12 % 258.89/40.97 | % 258.89/40.97 | COMBINE_EQS: (270), (273) imply: % 258.89/40.97 | (304) all_1694_0 = all_1658_6 % 258.89/40.97 | % 258.89/40.97 | COMBINE_EQS: (270), (271) imply: % 258.89/40.97 | (305) all_1694_0 = all_1692_9 % 258.89/40.97 | % 258.89/40.97 | COMBINE_EQS: (304), (305) imply: % 258.89/40.97 | (306) all_1692_9 = all_1658_6 % 258.89/40.97 | % 258.89/40.97 | COMBINE_EQS: (303), (305) imply: % 258.89/40.97 | (307) all_1692_9 = all_1679_12 % 258.89/40.97 | % 258.89/40.97 | COMBINE_EQS: (306), (307) imply: % 258.89/40.97 | (308) all_1679_12 = all_1658_6 % 258.89/40.97 | % 258.89/40.97 | SIMP: (308) implies: % 258.89/40.97 | (309) all_1679_12 = all_1658_6 % 258.89/40.97 | % 258.89/40.97 | COMBINE_EQS: (243), (298) imply: % 258.89/40.97 | (310) all_1681_2 = all_1611_7 % 258.89/40.97 | % 258.89/40.97 | SIMP: (310) implies: % 258.89/40.97 | (311) all_1681_2 = all_1611_7 % 258.89/40.97 | % 258.89/40.97 | COMBINE_EQS: (242), (311) imply: % 258.89/40.97 | (312) all_1679_11 = all_1611_7 % 258.89/40.97 | % 258.89/40.97 | SIMP: (312) implies: % 258.89/40.97 | (313) all_1679_11 = all_1611_7 % 258.89/40.97 | % 258.89/40.97 | COMBINE_EQS: (269), (302) imply: % 258.89/40.97 | (314) all_1673_1 = all_1285_0 % 258.89/40.97 | % 258.89/40.97 | SIMP: (314) implies: % 258.89/40.97 | (315) all_1673_1 = all_1285_0 % 258.89/40.97 | % 258.89/40.97 | COMBINE_EQS: (241), (313) imply: % 258.89/40.97 | (316) all_1667_9 = all_1611_7 % 258.89/40.97 | % 258.89/40.97 | SIMP: (316) implies: % 258.89/40.97 | (317) all_1667_9 = all_1611_7 % 258.89/40.97 | % 258.89/40.97 | COMBINE_EQS: (267), (309) imply: % 258.89/40.97 | (318) all_1658_6 = all_1639_2 % 258.89/40.97 | % 258.89/40.97 | COMBINE_EQS: (266), (309) imply: % 258.89/40.97 | (319) all_1665_11 = all_1658_6 % 258.89/40.97 | % 258.89/40.97 | SIMP: (319) implies: % 258.89/40.97 | (320) all_1665_11 = all_1658_6 % 258.89/40.97 | % 258.89/40.97 | COMBINE_EQS: (268), (309) imply: % 258.89/40.97 | (321) all_1658_6 = all_1596_1 % 258.89/40.97 | % 258.89/40.97 | COMBINE_EQS: (265), (315) imply: % 258.89/40.97 | (322) all_1671_2 = all_1285_0 % 258.89/40.97 | % 258.89/40.97 | SIMP: (322) implies: % 258.89/40.97 | (323) all_1671_2 = all_1285_0 % 258.89/40.97 | % 258.89/40.97 | COMBINE_EQS: (264), (323) imply: % 258.89/40.97 | (324) all_1669_12 = all_1285_0 % 258.89/40.97 | % 258.89/40.97 | SIMP: (324) implies: % 258.89/40.97 | (325) all_1669_12 = all_1285_0 % 258.89/40.97 | % 258.89/40.97 | COMBINE_EQS: (237), (238) imply: % 258.89/40.97 | (326) all_1665_10 = all_1663_10 % 258.89/40.97 | % 258.89/40.97 | SIMP: (326) implies: % 258.89/40.97 | (327) all_1665_10 = all_1663_10 % 258.89/40.97 | % 258.89/40.97 | COMBINE_EQS: (238), (240) imply: % 258.89/40.97 | (328) all_1663_10 = all_1098_1 % 258.89/40.97 | % 258.89/40.97 | COMBINE_EQS: (238), (239) imply: % 258.89/40.97 | (329) all_1663_10 = all_1448_4 % 258.89/40.97 | % 258.89/40.97 | COMBINE_EQS: (263), (325) imply: % 258.89/40.97 | (330) all_1656_6 = all_1285_0 % 258.89/40.97 | % 258.89/40.97 | SIMP: (330) implies: % 258.89/40.97 | (331) all_1656_6 = all_1285_0 % 258.89/40.97 | % 258.89/40.97 | COMBINE_EQS: (236), (317) imply: % 258.89/40.97 | (332) all_1665_10 = all_1611_7 % 258.89/40.97 | % 258.89/40.97 | SIMP: (332) implies: % 258.89/40.97 | (333) all_1665_10 = all_1611_7 % 258.89/40.97 | % 258.89/40.97 | COMBINE_EQS: (327), (333) imply: % 258.89/40.97 | (334) all_1663_10 = all_1611_7 % 258.89/40.97 | % 258.89/40.97 | SIMP: (334) implies: % 258.89/40.97 | (335) all_1663_10 = all_1611_7 % 258.89/40.97 | % 258.89/40.97 | COMBINE_EQS: (261), (262) imply: % 258.89/40.97 | (336) all_1500_2 = all_1448_5 % 258.89/40.97 | % 258.89/40.97 | COMBINE_EQS: (260), (261) imply: % 258.89/40.97 | (337) all_1631_0 = all_1500_2 % 258.89/40.97 | % 258.89/40.97 | SIMP: (337) implies: % 258.89/40.97 | (338) all_1631_0 = all_1500_2 % 258.89/40.97 | % 258.89/40.97 | COMBINE_EQS: (261), (320) imply: % 258.89/40.97 | (339) all_1658_6 = all_1500_2 % 258.89/40.97 | % 258.89/40.97 | SIMP: (339) implies: % 258.89/40.97 | (340) all_1658_6 = all_1500_2 % 258.89/40.97 | % 258.89/40.97 | COMBINE_EQS: (329), (335) imply: % 258.89/40.97 | (341) all_1611_7 = all_1448_4 % 258.89/40.97 | % 258.89/40.97 | COMBINE_EQS: (328), (335) imply: % 258.89/40.97 | (342) all_1611_7 = all_1098_1 % 258.89/40.97 | % 258.89/40.97 | COMBINE_EQS: (258), (259) imply: % 258.89/40.97 | (343) all_1648_9 = all_1335_0 % 258.89/40.97 | % 258.89/40.97 | SIMP: (343) implies: % 258.89/40.97 | (344) all_1648_9 = all_1335_0 % 258.89/40.97 | % 258.89/40.97 | COMBINE_EQS: (318), (321) imply: % 258.89/40.97 | (345) all_1639_2 = all_1596_1 % 258.89/40.97 | % 258.89/40.97 | SIMP: (345) implies: % 258.89/40.97 | (346) all_1639_2 = all_1596_1 % 258.89/40.97 | % 258.89/40.97 | COMBINE_EQS: (321), (340) imply: % 258.89/40.97 | (347) all_1596_1 = all_1500_2 % 258.89/40.97 | % 258.89/40.97 | COMBINE_EQS: (257), (331) imply: % 258.89/40.97 | (348) all_1653_2 = all_1285_0 % 258.89/40.97 | % 258.89/40.97 | SIMP: (348) implies: % 258.89/40.97 | (349) all_1653_2 = all_1285_0 % 258.89/40.97 | % 258.89/40.97 | COMBINE_EQS: (256), (349) imply: % 258.89/40.97 | (350) all_1631_0 = all_1285_0 % 258.89/40.97 | % 258.89/40.97 | SIMP: (350) implies: % 258.89/40.97 | (351) all_1631_0 = all_1285_0 % 258.89/40.97 | % 258.89/40.97 | COMBINE_EQS: (255), (344) imply: % 258.89/40.97 | (352) all_1408_3 = all_1335_0 % 258.89/40.97 | % 258.89/40.97 | SIMP: (352) implies: % 258.89/40.97 | (353) all_1408_3 = all_1335_0 % 258.89/40.97 | % 258.89/40.97 | COMBINE_EQS: (254), (300) imply: % 258.89/40.97 | (354) all_1643_7 = all_1450_0 % 258.89/40.97 | % 258.89/40.97 | SIMP: (354) implies: % 258.89/40.97 | (355) all_1643_7 = all_1450_0 % 258.89/40.97 | % 258.89/40.97 | COMBINE_EQS: (253), (355) imply: % 258.89/40.97 | (356) all_1641_2 = all_1450_0 % 258.89/40.97 | % 258.89/40.97 | SIMP: (356) implies: % 258.89/40.97 | (357) all_1641_2 = all_1450_0 % 258.89/40.97 | % 258.89/40.97 | COMBINE_EQS: (252), (357) imply: % 258.89/40.97 | (358) all_1639_2 = all_1450_0 % 258.89/40.97 | % 258.89/40.97 | SIMP: (358) implies: % 258.89/40.97 | (359) all_1639_2 = all_1450_0 % 258.89/40.97 | % 258.89/40.97 | COMBINE_EQS: (346), (359) imply: % 258.89/40.97 | (360) all_1596_1 = all_1450_0 % 258.89/40.97 | % 258.89/40.97 | SIMP: (360) implies: % 258.89/40.97 | (361) all_1596_1 = all_1450_0 % 258.89/40.97 | % 258.89/40.97 | COMBINE_EQS: (338), (351) imply: % 258.89/40.97 | (362) all_1500_2 = all_1285_0 % 258.89/40.97 | % 258.89/40.97 | SIMP: (362) implies: % 258.89/40.97 | (363) all_1500_2 = all_1285_0 % 258.89/40.97 | % 258.89/40.97 | COMBINE_EQS: (341), (342) imply: % 258.89/40.97 | (364) all_1448_4 = all_1098_1 % 258.89/40.97 | % 258.89/40.98 | SIMP: (364) implies: % 258.89/40.98 | (365) all_1448_4 = all_1098_1 % 258.89/40.98 | % 258.89/40.98 | COMBINE_EQS: (347), (361) imply: % 258.89/40.98 | (366) all_1500_2 = all_1450_0 % 258.89/40.98 | % 258.89/40.98 | SIMP: (366) implies: % 258.89/40.98 | (367) all_1500_2 = all_1450_0 % 258.89/40.98 | % 258.89/40.98 | COMBINE_EQS: (336), (367) imply: % 258.89/40.98 | (368) all_1450_0 = all_1448_5 % 258.89/40.98 | % 258.89/40.98 | COMBINE_EQS: (363), (367) imply: % 258.89/40.98 | (369) all_1450_0 = all_1285_0 % 258.89/40.98 | % 258.89/40.98 | COMBINE_EQS: (368), (369) imply: % 258.89/40.98 | (370) all_1448_5 = all_1285_0 % 258.89/40.98 | % 258.89/40.98 | SIMP: (370) implies: % 258.89/40.98 | (371) all_1448_5 = all_1285_0 % 258.89/40.98 | % 258.89/40.98 | COMBINE_EQS: (251), (371) imply: % 258.89/40.98 | (372) all_1437_5 = all_1285_0 % 258.89/40.98 | % 258.89/40.98 | SIMP: (372) implies: % 258.89/40.98 | (373) all_1437_5 = all_1285_0 % 258.89/40.98 | % 258.89/40.98 | COMBINE_EQS: (250), (373) imply: % 258.89/40.98 | (374) all_1410_0 = all_1285_0 % 258.89/40.98 | % 258.89/40.98 | SIMP: (374) implies: % 258.89/40.98 | (375) all_1410_0 = all_1285_0 % 258.89/40.98 | % 258.89/40.98 | COMBINE_EQS: (249), (375) imply: % 258.89/40.98 | (376) all_1408_3 = all_1285_0 % 258.89/40.98 | % 258.89/40.98 | SIMP: (376) implies: % 258.89/40.98 | (377) all_1408_3 = all_1285_0 % 258.89/40.98 | % 258.89/40.98 | COMBINE_EQS: (353), (377) imply: % 258.89/40.98 | (378) all_1335_0 = all_1285_0 % 258.89/40.98 | % 258.89/40.98 | SIMP: (378) implies: % 258.89/40.98 | (379) all_1335_0 = all_1285_0 % 258.89/40.98 | % 258.89/40.98 | COMBINE_EQS: (361), (369) imply: % 258.89/40.98 | (380) all_1596_1 = all_1285_0 % 258.89/40.98 | % 258.89/40.98 | COMBINE_EQS: (355), (369) imply: % 258.89/40.98 | (381) all_1643_7 = all_1285_0 % 258.89/40.98 | % 258.89/40.98 | COMBINE_EQS: (344), (379) imply: % 258.89/40.98 | (382) all_1648_9 = all_1285_0 % 258.89/40.98 | % 258.89/40.98 | COMBINE_EQS: (321), (380) imply: % 258.89/40.98 | (383) all_1658_6 = all_1285_0 % 258.89/40.98 | % 258.89/40.98 | COMBINE_EQS: (259), (379) imply: % 258.89/40.98 | (384) all_1663_11 = all_1285_0 % 258.89/40.98 | % 258.89/40.98 | COMBINE_EQS: (261), (363) imply: % 258.89/40.98 | (385) all_1665_11 = all_1285_0 % 258.89/40.98 | % 258.89/40.98 | COMBINE_EQS: (333), (342) imply: % 258.89/40.98 | (386) all_1665_10 = all_1098_1 % 258.89/40.98 | % 258.89/40.98 | COMBINE_EQS: (317), (342) imply: % 258.89/40.98 | (387) all_1667_9 = all_1098_1 % 258.89/40.98 | % 258.89/40.98 | COMBINE_EQS: (309), (383) imply: % 258.89/40.98 | (388) all_1679_12 = all_1285_0 % 258.89/40.98 | % 258.89/40.98 | COMBINE_EQS: (313), (342) imply: % 258.89/40.98 | (389) all_1679_11 = all_1098_1 % 258.89/40.98 | % 258.89/40.98 | COMBINE_EQS: (306), (383) imply: % 258.89/40.98 | (390) all_1692_9 = all_1285_0 % 258.89/40.98 | % 258.89/40.98 | COMBINE_EQS: (294), (369) imply: % 258.89/40.98 | (391) all_1702_15 = all_1285_0 % 258.89/40.98 | % 258.89/40.98 | COMBINE_EQS: (292), (342) imply: % 258.89/40.98 | (392) all_1702_14 = all_1098_1 % 258.89/40.98 | % 258.89/40.98 | COMBINE_EQS: (290), (369) imply: % 258.89/40.98 | (393) all_1707_16 = all_1285_0 % 258.89/40.98 | % 258.89/40.98 | COMBINE_EQS: (284), (342) imply: % 258.89/40.98 | (394) all_1707_15 = all_1098_1 % 258.89/40.98 | % 258.89/40.98 | COMBINE_EQS: (279), (369) imply: % 258.89/40.98 | (395) all_1709_9 = all_1285_0 % 258.89/40.98 | % 258.89/40.98 | REDUCE: (79), (248) imply: % 258.89/40.98 | (396) c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, all_978_0) = % 258.89/40.98 | all_1408_4 % 258.89/40.98 | % 258.89/40.98 | REDUCE: (227), (282) imply: % 258.89/40.98 | (397) hAPP(all_1285_0, v_z____) = all_1714_14 % 258.89/40.98 | % 258.89/40.98 | REDUCE: (223), (285) imply: % 258.89/40.98 | (398) hAPP(all_1285_0, v_z____) = all_1712_8 % 258.89/40.98 | % 258.89/40.98 | REDUCE: (219), (395) imply: % 258.89/40.98 | (399) hAPP(all_1285_0, v_z____) = all_1709_8 % 258.89/40.98 | % 258.89/40.98 | REDUCE: (212), (393) imply: % 258.89/40.98 | (400) hAPP(all_1285_0, all_1707_13) = all_1707_12 % 258.89/40.98 | % 258.89/40.98 | REDUCE: (211), (393) imply: % 258.89/40.98 | (401) hAPP(all_1285_0, v_z____) = all_1707_7 % 258.89/40.98 | % 258.89/40.98 | REDUCE: (206), (288) imply: % 258.89/40.98 | (402) hAPP(all_1285_0, v_z____) = all_1704_8 % 258.89/40.98 | % 258.89/40.98 | REDUCE: (198), (391) imply: % 258.89/40.98 | (403) hAPP(all_1285_0, all_1702_12) = all_1702_11 % 258.89/40.98 | % 258.89/40.98 | REDUCE: (197), (391) imply: % 258.89/40.98 | (404) hAPP(all_1285_0, v_z____) = all_1702_10 % 258.89/40.98 | % 258.89/40.98 | REDUCE: (184), (390) imply: % 258.89/40.98 | (405) hAPP(all_1285_0, v_z____) = all_1692_8 % 258.89/40.98 | % 258.89/40.98 | REDUCE: (179), (302) imply: % 258.89/40.98 | (406) hAPP(all_1285_0, v_z____) = all_1681_8 % 258.89/40.98 | % 258.89/40.98 | REDUCE: (173), (388) imply: % 258.89/40.98 | (407) hAPP(all_1285_0, all_1679_9) = all_1679_8 % 258.89/40.98 | % 258.89/40.98 | REDUCE: (156), (325) imply: % 258.89/40.98 | (408) hAPP(all_1285_0, all_1669_9) = all_1669_8 % 258.89/40.98 | % 258.89/40.98 | REDUCE: (155), (325) imply: % 258.89/40.98 | (409) hAPP(all_1285_0, v_z____) = all_1669_6 % 258.89/40.98 | % 258.89/40.98 | REDUCE: (144), (385) imply: % 258.89/40.98 | (410) hAPP(all_1285_0, all_1665_8) = all_1665_7 % 258.89/40.98 | % 258.89/40.98 | REDUCE: (137), (384) imply: % 258.89/40.98 | (411) hAPP(all_1285_0, all_1663_8) = all_1663_7 % 258.89/40.98 | % 258.89/40.98 | REDUCE: (131), (383) imply: % 258.89/40.98 | (412) hAPP(all_1285_0, v_z____) = all_1658_5 % 258.89/40.98 | % 258.89/40.98 | REDUCE: (127), (331) imply: % 258.89/40.98 | (413) hAPP(all_1285_0, v_z____) = all_1656_5 % 258.89/40.98 | % 258.89/40.98 | REDUCE: (121), (382) imply: % 258.89/40.98 | (414) hAPP(all_1285_0, v_z____) = all_1648_8 % 258.89/40.98 | % 258.89/40.98 | REDUCE: (115), (381) imply: % 258.89/40.98 | (415) hAPP(all_1285_0, v_z____) = all_1643_6 % 258.89/40.98 | % 258.89/40.98 | REDUCE: (93), (371) imply: % 258.89/40.98 | (416) hAPP(all_1285_0, all_1448_2) = all_1448_1 % 258.89/40.98 | % 258.89/40.98 | REDUCE: (88), (373) imply: % 258.89/40.98 | (417) hAPP(all_1285_0, v_z____) = all_1437_4 % 258.89/40.98 | % 258.89/40.98 | REDUCE: (210), (394) imply: % 258.89/40.98 | (418) hAPP(v_f____, all_1098_1) = all_1707_14 % 258.89/40.98 | % 258.89/40.98 | REDUCE: (196), (392) imply: % 258.89/40.98 | (419) hAPP(v_f____, all_1098_1) = all_1702_13 % 258.89/40.98 | % 258.89/40.98 | REDUCE: (172), (389) imply: % 258.89/40.98 | (420) hAPP(v_f____, all_1098_1) = all_1679_10 % 258.89/40.98 | % 258.89/40.98 | REDUCE: (154), (240) imply: % 258.89/40.98 | (421) hAPP(v_f____, all_1098_1) = all_1669_10 % 258.89/40.98 | % 258.89/40.98 | REDUCE: (150), (387) imply: % 258.89/40.98 | (422) hAPP(v_f____, all_1098_1) = all_1667_8 % 258.89/40.98 | % 258.89/40.98 | REDUCE: (143), (386) imply: % 258.89/40.98 | (423) hAPP(v_f____, all_1098_1) = all_1665_9 % 258.89/40.98 | % 258.89/40.98 | REDUCE: (136), (328) imply: % 258.89/40.98 | (424) hAPP(v_f____, all_1098_1) = all_1663_9 % 258.89/40.98 | % 258.89/40.98 | REDUCE: (105), (342) imply: % 258.89/40.98 | (425) hAPP(v_f____, all_1098_1) = all_1611_6 % 258.89/40.98 | % 258.89/40.98 | REDUCE: (92), (365) imply: % 258.89/40.98 | (426) hAPP(v_f____, all_1098_1) = all_1448_3 % 258.89/40.98 | % 258.89/40.98 | REDUCE: (77), (248) imply: % 258.89/40.98 | (427) $i(all_978_0) % 258.89/40.98 | % 258.89/40.98 | GROUND_INST: instantiating (51) with all_1098_0, all_1663_9, all_1098_1, % 258.89/40.98 | v_f____, simplifying with (61), (424) gives: % 258.89/40.98 | (428) all_1663_9 = all_1098_0 % 258.89/40.98 | % 258.89/40.98 | GROUND_INST: instantiating (51) with all_1448_3, all_1663_9, all_1098_1, % 258.89/40.98 | v_f____, simplifying with (424), (426) gives: % 258.89/40.98 | (429) all_1663_9 = all_1448_3 % 258.89/40.98 | % 258.89/40.98 | GROUND_INST: instantiating (51) with all_1663_9, all_1665_9, all_1098_1, % 258.89/40.98 | v_f____, simplifying with (423), (424) gives: % 258.89/40.98 | (430) all_1665_9 = all_1663_9 % 258.89/40.98 | % 258.89/40.98 | GROUND_INST: instantiating (51) with all_1665_9, all_1667_8, all_1098_1, % 258.89/40.98 | v_f____, simplifying with (422), (423) gives: % 258.89/40.98 | (431) all_1667_8 = all_1665_9 % 258.89/40.98 | % 258.89/40.98 | GROUND_INST: instantiating (51) with all_1667_8, all_1669_10, all_1098_1, % 258.89/40.98 | v_f____, simplifying with (421), (422) gives: % 258.89/40.98 | (432) all_1669_10 = all_1667_8 % 258.89/40.98 | % 258.89/40.98 | GROUND_INST: instantiating (51) with all_1669_10, all_1679_10, all_1098_1, % 258.89/40.98 | v_f____, simplifying with (420), (421) gives: % 258.89/40.98 | (433) all_1679_10 = all_1669_10 % 258.89/40.98 | % 258.89/40.98 | GROUND_INST: instantiating (51) with all_1679_10, all_1702_13, all_1098_1, % 258.89/40.98 | v_f____, simplifying with (419), (420) gives: % 258.89/40.98 | (434) all_1702_13 = all_1679_10 % 258.89/40.98 | % 258.89/40.98 | GROUND_INST: instantiating (51) with all_1702_13, all_1707_14, all_1098_1, % 258.89/40.98 | v_f____, simplifying with (418), (419) gives: % 258.89/40.98 | (435) all_1707_14 = all_1702_13 % 258.89/40.98 | % 258.89/40.98 | GROUND_INST: instantiating (51) with all_1611_6, all_1707_14, all_1098_1, % 258.89/40.98 | v_f____, simplifying with (418), (425) gives: % 258.89/40.98 | (436) all_1707_14 = all_1611_6 % 258.89/40.98 | % 258.89/40.98 | GROUND_INST: instantiating (51) with all_1658_5, all_1669_6, v_z____, % 258.89/40.98 | all_1285_0, simplifying with (409), (412) gives: % 258.89/40.98 | (437) all_1669_6 = all_1658_5 % 258.89/40.98 | % 258.89/40.98 | GROUND_INST: instantiating (51) with all_1669_6, all_1681_8, v_z____, % 258.89/40.98 | all_1285_0, simplifying with (406), (409) gives: % 258.89/40.98 | (438) all_1681_8 = all_1669_6 % 258.89/40.98 | % 258.89/40.98 | GROUND_INST: instantiating (51) with all_1643_6, all_1702_10, v_z____, % 258.89/40.98 | all_1285_0, simplifying with (404), (415) gives: % 258.89/40.98 | (439) all_1702_10 = all_1643_6 % 258.89/40.98 | % 258.89/40.98 | GROUND_INST: instantiating (51) with all_1648_8, all_1704_8, v_z____, % 258.89/40.98 | all_1285_0, simplifying with (402), (414) gives: % 258.89/40.98 | (440) all_1704_8 = all_1648_8 % 258.89/40.98 | % 258.89/40.98 | GROUND_INST: instantiating (51) with all_1681_8, all_1707_7, v_z____, % 258.89/40.98 | all_1285_0, simplifying with (401), (406) gives: % 258.89/40.99 | (441) all_1707_7 = all_1681_8 % 258.89/40.99 | % 258.89/40.99 | GROUND_INST: instantiating (51) with all_1704_8, all_1709_8, v_z____, % 258.89/40.99 | all_1285_0, simplifying with (399), (402) gives: % 258.89/40.99 | (442) all_1709_8 = all_1704_8 % 258.89/40.99 | % 258.89/40.99 | GROUND_INST: instantiating (51) with all_1702_10, all_1709_8, v_z____, % 258.89/40.99 | all_1285_0, simplifying with (399), (404) gives: % 258.89/40.99 | (443) all_1709_8 = all_1702_10 % 258.89/40.99 | % 258.89/40.99 | GROUND_INST: instantiating (51) with all_1692_8, all_1709_8, v_z____, % 258.89/40.99 | all_1285_0, simplifying with (399), (405) gives: % 258.89/40.99 | (444) all_1709_8 = all_1692_8 % 258.89/40.99 | % 258.89/40.99 | GROUND_INST: instantiating (51) with all_1704_8, all_1712_8, v_z____, % 258.89/40.99 | all_1285_0, simplifying with (398), (402) gives: % 258.89/40.99 | (445) all_1712_8 = all_1704_8 % 258.89/40.99 | % 258.89/40.99 | GROUND_INST: instantiating (51) with all_1669_6, all_1712_8, v_z____, % 258.89/40.99 | all_1285_0, simplifying with (398), (409) gives: % 258.89/40.99 | (446) all_1712_8 = all_1669_6 % 258.89/40.99 | % 258.89/40.99 | GROUND_INST: instantiating (51) with all_1656_5, all_1712_8, v_z____, % 258.89/40.99 | all_1285_0, simplifying with (398), (413) gives: % 258.89/40.99 | (447) all_1712_8 = all_1656_5 % 258.89/40.99 | % 258.89/40.99 | GROUND_INST: instantiating (51) with all_1707_7, all_1714_14, v_z____, % 258.89/40.99 | all_1285_0, simplifying with (397), (401) gives: % 258.89/40.99 | (448) all_1714_14 = all_1707_7 % 258.89/40.99 | % 258.89/40.99 | GROUND_INST: instantiating (51) with all_1437_4, all_1714_14, v_z____, % 258.89/40.99 | all_1285_0, simplifying with (397), (417) gives: % 258.89/40.99 | (449) all_1714_14 = all_1437_4 % 258.89/40.99 | % 258.89/40.99 | COMBINE_EQS: (448), (449) imply: % 258.89/40.99 | (450) all_1707_7 = all_1437_4 % 258.89/40.99 | % 258.89/40.99 | SIMP: (450) implies: % 258.89/40.99 | (451) all_1707_7 = all_1437_4 % 258.89/40.99 | % 258.89/40.99 | COMBINE_EQS: (446), (447) imply: % 258.89/40.99 | (452) all_1669_6 = all_1656_5 % 258.89/40.99 | % 258.89/40.99 | SIMP: (452) implies: % 258.89/40.99 | (453) all_1669_6 = all_1656_5 % 258.89/40.99 | % 258.89/40.99 | COMBINE_EQS: (445), (447) imply: % 258.89/40.99 | (454) all_1704_8 = all_1656_5 % 258.89/40.99 | % 258.89/40.99 | SIMP: (454) implies: % 258.89/40.99 | (455) all_1704_8 = all_1656_5 % 258.89/40.99 | % 258.89/40.99 | COMBINE_EQS: (443), (444) imply: % 258.89/40.99 | (456) all_1702_10 = all_1692_8 % 258.89/40.99 | % 258.89/40.99 | SIMP: (456) implies: % 258.89/40.99 | (457) all_1702_10 = all_1692_8 % 258.89/40.99 | % 258.89/40.99 | COMBINE_EQS: (442), (444) imply: % 258.89/40.99 | (458) all_1704_8 = all_1692_8 % 258.89/40.99 | % 258.89/40.99 | SIMP: (458) implies: % 258.89/40.99 | (459) all_1704_8 = all_1692_8 % 258.89/40.99 | % 258.89/40.99 | COMBINE_EQS: (441), (451) imply: % 258.89/40.99 | (460) all_1681_8 = all_1437_4 % 258.89/40.99 | % 258.89/40.99 | SIMP: (460) implies: % 258.89/40.99 | (461) all_1681_8 = all_1437_4 % 258.89/40.99 | % 258.89/40.99 | COMBINE_EQS: (435), (436) imply: % 258.89/40.99 | (462) all_1702_13 = all_1611_6 % 258.89/40.99 | % 258.89/40.99 | SIMP: (462) implies: % 258.89/40.99 | (463) all_1702_13 = all_1611_6 % 258.89/40.99 | % 258.89/40.99 | COMBINE_EQS: (440), (455) imply: % 258.89/40.99 | (464) all_1656_5 = all_1648_8 % 258.89/40.99 | % 258.89/40.99 | SIMP: (464) implies: % 258.89/40.99 | (465) all_1656_5 = all_1648_8 % 258.89/40.99 | % 258.89/40.99 | COMBINE_EQS: (440), (459) imply: % 258.89/40.99 | (466) all_1692_8 = all_1648_8 % 258.89/40.99 | % 258.89/40.99 | SIMP: (466) implies: % 258.89/40.99 | (467) all_1692_8 = all_1648_8 % 258.89/40.99 | % 258.89/40.99 | COMBINE_EQS: (439), (457) imply: % 258.89/40.99 | (468) all_1692_8 = all_1643_6 % 258.89/40.99 | % 258.89/40.99 | SIMP: (468) implies: % 258.89/40.99 | (469) all_1692_8 = all_1643_6 % 258.89/40.99 | % 258.89/40.99 | COMBINE_EQS: (434), (463) imply: % 258.89/40.99 | (470) all_1679_10 = all_1611_6 % 258.89/40.99 | % 258.89/40.99 | SIMP: (470) implies: % 258.89/40.99 | (471) all_1679_10 = all_1611_6 % 258.89/40.99 | % 258.89/40.99 | COMBINE_EQS: (467), (469) imply: % 258.89/40.99 | (472) all_1648_8 = all_1643_6 % 258.89/40.99 | % 258.89/40.99 | SIMP: (472) implies: % 258.89/40.99 | (473) all_1648_8 = all_1643_6 % 258.89/40.99 | % 258.89/40.99 | COMBINE_EQS: (438), (461) imply: % 258.89/40.99 | (474) all_1669_6 = all_1437_4 % 258.89/40.99 | % 258.89/40.99 | SIMP: (474) implies: % 258.89/40.99 | (475) all_1669_6 = all_1437_4 % 258.89/40.99 | % 258.89/40.99 | COMBINE_EQS: (433), (471) imply: % 258.89/40.99 | (476) all_1669_10 = all_1611_6 % 258.89/40.99 | % 258.89/40.99 | SIMP: (476) implies: % 258.89/40.99 | (477) all_1669_10 = all_1611_6 % 258.89/40.99 | % 258.89/40.99 | COMBINE_EQS: (437), (475) imply: % 258.89/40.99 | (478) all_1658_5 = all_1437_4 % 258.89/40.99 | % 258.89/40.99 | COMBINE_EQS: (437), (453) imply: % 258.89/40.99 | (479) all_1658_5 = all_1656_5 % 258.89/40.99 | % 258.89/40.99 | COMBINE_EQS: (432), (477) imply: % 258.89/40.99 | (480) all_1667_8 = all_1611_6 % 258.89/40.99 | % 258.89/40.99 | SIMP: (480) implies: % 258.89/40.99 | (481) all_1667_8 = all_1611_6 % 258.89/40.99 | % 258.89/40.99 | COMBINE_EQS: (431), (481) imply: % 258.89/40.99 | (482) all_1665_9 = all_1611_6 % 258.89/40.99 | % 258.89/40.99 | SIMP: (482) implies: % 258.89/40.99 | (483) all_1665_9 = all_1611_6 % 258.89/40.99 | % 258.89/40.99 | COMBINE_EQS: (430), (483) imply: % 258.89/40.99 | (484) all_1663_9 = all_1611_6 % 258.89/40.99 | % 258.89/40.99 | SIMP: (484) implies: % 258.89/40.99 | (485) all_1663_9 = all_1611_6 % 258.89/40.99 | % 258.89/40.99 | COMBINE_EQS: (428), (485) imply: % 258.89/40.99 | (486) all_1611_6 = all_1098_0 % 258.89/40.99 | % 258.89/40.99 | COMBINE_EQS: (429), (485) imply: % 258.89/40.99 | (487) all_1611_6 = all_1448_3 % 258.89/40.99 | % 258.89/40.99 | COMBINE_EQS: (478), (479) imply: % 258.89/40.99 | (488) all_1656_5 = all_1437_4 % 258.89/40.99 | % 258.89/40.99 | SIMP: (488) implies: % 258.89/40.99 | (489) all_1656_5 = all_1437_4 % 258.89/40.99 | % 258.89/40.99 | COMBINE_EQS: (465), (489) imply: % 258.89/40.99 | (490) all_1648_8 = all_1437_4 % 258.89/40.99 | % 258.89/40.99 | SIMP: (490) implies: % 258.89/40.99 | (491) all_1648_8 = all_1437_4 % 258.89/40.99 | % 258.89/40.99 | COMBINE_EQS: (473), (491) imply: % 258.89/40.99 | (492) all_1643_6 = all_1437_4 % 258.89/40.99 | % 258.89/40.99 | SIMP: (492) implies: % 258.89/40.99 | (493) all_1643_6 = all_1437_4 % 258.89/40.99 | % 258.89/40.99 | COMBINE_EQS: (486), (487) imply: % 258.89/40.99 | (494) all_1448_3 = all_1098_0 % 258.89/40.99 | % 258.89/40.99 | SIMP: (494) implies: % 258.89/40.99 | (495) all_1448_3 = all_1098_0 % 258.89/40.99 | % 258.89/40.99 | COMBINE_EQS: (483), (486) imply: % 258.89/40.99 | (496) all_1665_9 = all_1098_0 % 258.89/40.99 | % 258.89/40.99 | COMBINE_EQS: (477), (486) imply: % 258.89/40.99 | (497) all_1669_10 = all_1098_0 % 258.89/40.99 | % 258.89/40.99 | COMBINE_EQS: (471), (486) imply: % 258.89/40.99 | (498) all_1679_10 = all_1098_0 % 258.89/40.99 | % 258.89/40.99 | COMBINE_EQS: (469), (493) imply: % 258.89/40.99 | (499) all_1692_8 = all_1437_4 % 258.89/40.99 | % 258.89/40.99 | COMBINE_EQS: (463), (486) imply: % 258.89/40.99 | (500) all_1702_13 = all_1098_0 % 258.89/40.99 | % 258.89/40.99 | COMBINE_EQS: (439), (493) imply: % 258.89/40.99 | (501) all_1702_10 = all_1437_4 % 258.89/40.99 | % 258.89/40.99 | COMBINE_EQS: (440), (491) imply: % 258.89/40.99 | (502) all_1704_8 = all_1437_4 % 258.89/40.99 | % 258.89/40.99 | COMBINE_EQS: (436), (486) imply: % 258.89/40.99 | (503) all_1707_14 = all_1098_0 % 258.89/40.99 | % 258.89/40.99 | COMBINE_EQS: (444), (499) imply: % 258.89/40.99 | (504) all_1709_8 = all_1437_4 % 258.89/40.99 | % 258.89/40.99 | COMBINE_EQS: (447), (489) imply: % 258.89/40.99 | (505) all_1712_8 = all_1437_4 % 258.89/40.99 | % 258.89/40.99 | REDUCE: (203), (501) imply: % 258.89/40.99 | (506) c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex, all_1702_11, % 258.89/40.99 | all_1437_4) = all_1702_9 % 258.89/40.99 | % 258.89/40.99 | REDUCE: (164), (475) imply: % 258.89/40.99 | (507) c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex, all_1669_8, % 258.89/40.99 | all_1437_4) = all_1669_2 % 258.89/40.99 | % 258.89/40.99 | REDUCE: (215), (503) imply: % 258.89/40.99 | (508) v_g____(all_1098_0) = all_1707_13 % 258.89/40.99 | % 258.89/40.99 | REDUCE: (201), (500) imply: % 258.89/40.99 | (509) v_g____(all_1098_0) = all_1702_12 % 258.89/40.99 | % 258.89/40.99 | REDUCE: (175), (498) imply: % 258.89/40.99 | (510) v_g____(all_1098_0) = all_1679_9 % 258.89/40.99 | % 258.89/40.99 | REDUCE: (161), (497) imply: % 258.89/40.99 | (511) v_g____(all_1098_0) = all_1669_9 % 258.89/40.99 | % 258.89/40.99 | REDUCE: (146), (496) imply: % 258.89/40.99 | (512) v_g____(all_1098_0) = all_1665_8 % 258.89/40.99 | % 258.89/40.99 | REDUCE: (139), (428) imply: % 258.89/40.99 | (513) v_g____(all_1098_0) = all_1663_8 % 258.89/40.99 | % 258.89/40.99 | REDUCE: (95), (495) imply: % 258.89/40.99 | (514) v_g____(all_1098_0) = all_1448_2 % 258.89/40.99 | % 258.89/40.99 | REDUCE: (228), (449) imply: % 258.89/40.99 | (515) c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, all_1437_4) = % 258.89/40.99 | all_1714_13 % 258.89/40.99 | % 258.89/40.99 | REDUCE: (224), (505) imply: % 258.89/40.99 | (516) c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, all_1437_4) = % 258.89/40.99 | all_1712_7 % 258.89/40.99 | % 258.89/40.99 | REDUCE: (220), (504) imply: % 258.89/40.99 | (517) c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, all_1437_4) = % 258.89/40.99 | all_1709_7 % 258.89/40.99 | % 258.89/40.99 | REDUCE: (214), (451) imply: % 258.89/40.99 | (518) c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, all_1437_4) = % 258.89/40.99 | all_1707_6 % 258.89/40.99 | % 258.89/40.99 | REDUCE: (207), (502) imply: % 258.89/40.99 | (519) c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, all_1437_4) = % 258.89/40.99 | all_1704_7 % 258.89/40.99 | % 258.89/40.99 | REDUCE: (199), (501) imply: % 258.89/40.99 | (520) c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, all_1437_4) = % 258.89/40.99 | all_1702_7 % 258.89/40.99 | % 258.89/40.99 | REDUCE: (185), (499) imply: % 258.89/40.99 | (521) c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, all_1437_4) = % 258.89/40.99 | all_1692_7 % 258.89/40.99 | % 258.89/40.99 | REDUCE: (180), (461) imply: % 258.89/40.99 | (522) c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, all_1437_4) = % 258.89/40.99 | all_1681_7 % 258.89/40.99 | % 258.89/40.99 | REDUCE: (159), (475) imply: % 258.89/40.99 | (523) c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, all_1437_4) = % 258.89/40.99 | all_1669_5 % 258.89/40.99 | % 258.89/40.99 | REDUCE: (132), (478) imply: % 258.89/40.99 | (524) c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, all_1437_4) = % 258.89/40.99 | all_1658_4 % 258.89/40.99 | % 258.89/40.99 | REDUCE: (128), (489) imply: % 258.89/40.99 | (525) c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, all_1437_4) = % 258.89/40.99 | all_1656_4 % 258.89/40.99 | % 258.89/40.99 | REDUCE: (122), (491) imply: % 258.89/40.99 | (526) c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, all_1437_4) = % 258.89/40.99 | all_1648_7 % 258.89/40.99 | % 258.89/40.99 | REDUCE: (116), (493) imply: % 258.89/40.99 | (527) c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, all_1437_4) = % 258.89/40.99 | all_1643_5 % 258.89/40.99 | % 258.89/40.99 | REDUCE: (114), (493) imply: % 258.89/40.99 | (528) $i(all_1437_4) % 258.89/40.99 | % 258.89/40.99 | GROUND_INST: instantiating (52) with all_1681_7, all_1702_7, all_1437_4, % 258.89/40.99 | tc_Complex_Ocomplex, simplifying with (520), (522) gives: % 258.89/40.99 | (529) all_1702_7 = all_1681_7 % 258.89/40.99 | % 258.89/40.99 | GROUND_INST: instantiating (52) with all_1669_5, all_1702_7, all_1437_4, % 258.89/40.99 | tc_Complex_Ocomplex, simplifying with (520), (523) gives: % 258.89/40.99 | (530) all_1702_7 = all_1669_5 % 258.89/40.99 | % 258.89/40.99 | GROUND_INST: instantiating (52) with all_1643_5, all_1704_7, all_1437_4, % 258.89/40.99 | tc_Complex_Ocomplex, simplifying with (519), (527) gives: % 258.89/40.99 | (531) all_1704_7 = all_1643_5 % 258.89/40.99 | % 258.89/40.99 | GROUND_INST: instantiating (52) with all_1702_7, all_1707_6, all_1437_4, % 258.89/40.99 | tc_Complex_Ocomplex, simplifying with (518), (520) gives: % 258.89/40.99 | (532) all_1707_6 = all_1702_7 % 258.89/40.99 | % 258.89/41.00 | GROUND_INST: instantiating (52) with all_1658_4, all_1707_6, all_1437_4, % 258.89/41.00 | tc_Complex_Ocomplex, simplifying with (518), (524) gives: % 258.89/41.00 | (533) all_1707_6 = all_1658_4 % 258.89/41.00 | % 258.89/41.00 | GROUND_INST: instantiating (52) with all_1702_7, all_1709_7, all_1437_4, % 258.89/41.00 | tc_Complex_Ocomplex, simplifying with (517), (520) gives: % 258.89/41.00 | (534) all_1709_7 = all_1702_7 % 258.89/41.00 | % 258.89/41.00 | GROUND_INST: instantiating (52) with all_1692_7, all_1709_7, all_1437_4, % 258.89/41.00 | tc_Complex_Ocomplex, simplifying with (517), (521) gives: % 258.89/41.00 | (535) all_1709_7 = all_1692_7 % 258.89/41.00 | % 258.89/41.00 | GROUND_INST: instantiating (52) with all_1437_3, all_1712_7, all_1437_4, % 258.89/41.00 | tc_Complex_Ocomplex, simplifying with (89), (516) gives: % 258.89/41.00 | (536) all_1712_7 = all_1437_3 % 258.89/41.00 | % 258.89/41.00 | GROUND_INST: instantiating (52) with all_1704_7, all_1712_7, all_1437_4, % 258.89/41.00 | tc_Complex_Ocomplex, simplifying with (516), (519) gives: % 258.89/41.00 | (537) all_1712_7 = all_1704_7 % 258.89/41.00 | % 258.89/41.00 | GROUND_INST: instantiating (52) with all_1669_5, all_1712_7, all_1437_4, % 258.89/41.00 | tc_Complex_Ocomplex, simplifying with (516), (523) gives: % 258.89/41.00 | (538) all_1712_7 = all_1669_5 % 258.89/41.00 | % 258.89/41.00 | GROUND_INST: instantiating (52) with all_1656_4, all_1712_7, all_1437_4, % 258.89/41.00 | tc_Complex_Ocomplex, simplifying with (516), (525) gives: % 258.89/41.00 | (539) all_1712_7 = all_1656_4 % 258.89/41.00 | % 258.89/41.00 | GROUND_INST: instantiating (52) with all_1669_5, all_1714_13, all_1437_4, % 258.89/41.00 | tc_Complex_Ocomplex, simplifying with (515), (523) gives: % 258.89/41.00 | (540) all_1714_13 = all_1669_5 % 258.89/41.00 | % 258.89/41.00 | GROUND_INST: instantiating (52) with all_1648_7, all_1714_13, all_1437_4, % 258.89/41.00 | tc_Complex_Ocomplex, simplifying with (515), (526) gives: % 258.89/41.00 | (541) all_1714_13 = all_1648_7 % 258.89/41.00 | % 258.89/41.00 | GROUND_INST: instantiating (48) with all_1665_8, all_1702_12, all_1098_0, % 258.89/41.00 | simplifying with (509), (512) gives: % 258.89/41.00 | (542) all_1702_12 = all_1665_8 % 258.89/41.00 | % 258.89/41.00 | GROUND_INST: instantiating (48) with all_1448_2, all_1702_12, all_1098_0, % 258.89/41.00 | simplifying with (509), (514) gives: % 258.89/41.00 | (543) all_1702_12 = all_1448_2 % 258.89/41.00 | % 258.89/41.00 | GROUND_INST: instantiating (48) with all_1702_12, all_1707_13, all_1098_0, % 258.89/41.00 | simplifying with (508), (509) gives: % 258.89/41.00 | (544) all_1707_13 = all_1702_12 % 258.89/41.00 | % 258.89/41.00 | GROUND_INST: instantiating (48) with all_1679_9, all_1707_13, all_1098_0, % 258.89/41.00 | simplifying with (508), (510) gives: % 258.89/41.00 | (545) all_1707_13 = all_1679_9 % 258.89/41.00 | % 258.89/41.00 | GROUND_INST: instantiating (48) with all_1669_9, all_1707_13, all_1098_0, % 258.89/41.00 | simplifying with (508), (511) gives: % 258.89/41.00 | (546) all_1707_13 = all_1669_9 % 258.89/41.00 | % 258.89/41.00 | GROUND_INST: instantiating (48) with all_1663_8, all_1707_13, all_1098_0, % 258.89/41.00 | simplifying with (508), (513) gives: % 258.89/41.00 | (547) all_1707_13 = all_1663_8 % 258.89/41.00 | % 258.89/41.00 | COMBINE_EQS: (540), (541) imply: % 258.89/41.00 | (548) all_1669_5 = all_1648_7 % 258.89/41.00 | % 258.89/41.00 | SIMP: (548) implies: % 258.89/41.00 | (549) all_1669_5 = all_1648_7 % 258.89/41.00 | % 258.89/41.00 | COMBINE_EQS: (537), (539) imply: % 258.89/41.00 | (550) all_1704_7 = all_1656_4 % 258.89/41.00 | % 258.89/41.00 | SIMP: (550) implies: % 258.89/41.00 | (551) all_1704_7 = all_1656_4 % 258.89/41.00 | % 258.89/41.00 | COMBINE_EQS: (538), (539) imply: % 258.89/41.00 | (552) all_1669_5 = all_1656_4 % 258.89/41.00 | % 258.89/41.00 | SIMP: (552) implies: % 258.89/41.00 | (553) all_1669_5 = all_1656_4 % 258.89/41.00 | % 258.89/41.00 | COMBINE_EQS: (536), (539) imply: % 258.89/41.00 | (554) all_1656_4 = all_1437_3 % 258.89/41.00 | % 258.89/41.00 | COMBINE_EQS: (534), (535) imply: % 258.89/41.00 | (555) all_1702_7 = all_1692_7 % 258.89/41.00 | % 258.89/41.00 | SIMP: (555) implies: % 258.89/41.00 | (556) all_1702_7 = all_1692_7 % 258.89/41.00 | % 258.89/41.00 | COMBINE_EQS: (532), (533) imply: % 258.89/41.00 | (557) all_1702_7 = all_1658_4 % 258.89/41.00 | % 258.89/41.00 | SIMP: (557) implies: % 258.89/41.00 | (558) all_1702_7 = all_1658_4 % 258.89/41.00 | % 258.89/41.00 | COMBINE_EQS: (544), (545) imply: % 258.89/41.00 | (559) all_1702_12 = all_1679_9 % 258.89/41.00 | % 258.89/41.00 | SIMP: (559) implies: % 258.89/41.00 | (560) all_1702_12 = all_1679_9 % 258.89/41.00 | % 258.89/41.00 | COMBINE_EQS: (545), (546) imply: % 258.89/41.00 | (561) all_1679_9 = all_1669_9 % 258.89/41.00 | % 258.89/41.00 | COMBINE_EQS: (545), (547) imply: % 258.89/41.00 | (562) all_1679_9 = all_1663_8 % 258.89/41.00 | % 258.89/41.00 | COMBINE_EQS: (531), (551) imply: % 258.89/41.00 | (563) all_1656_4 = all_1643_5 % 258.89/41.00 | % 258.89/41.00 | SIMP: (563) implies: % 258.89/41.00 | (564) all_1656_4 = all_1643_5 % 258.89/41.00 | % 258.89/41.00 | COMBINE_EQS: (529), (556) imply: % 258.89/41.00 | (565) all_1692_7 = all_1681_7 % 258.89/41.00 | % 258.89/41.00 | COMBINE_EQS: (530), (556) imply: % 258.89/41.00 | (566) all_1692_7 = all_1669_5 % 258.89/41.00 | % 258.89/41.00 | COMBINE_EQS: (556), (558) imply: % 258.89/41.00 | (567) all_1692_7 = all_1658_4 % 258.89/41.00 | % 258.89/41.00 | COMBINE_EQS: (542), (543) imply: % 258.89/41.00 | (568) all_1665_8 = all_1448_2 % 258.89/41.00 | % 258.89/41.00 | COMBINE_EQS: (542), (560) imply: % 258.89/41.00 | (569) all_1679_9 = all_1665_8 % 258.89/41.00 | % 258.89/41.00 | SIMP: (569) implies: % 258.89/41.00 | (570) all_1679_9 = all_1665_8 % 258.89/41.00 | % 258.89/41.00 | COMBINE_EQS: (565), (566) imply: % 258.89/41.00 | (571) all_1681_7 = all_1669_5 % 258.89/41.00 | % 258.89/41.00 | COMBINE_EQS: (565), (567) imply: % 258.89/41.00 | (572) all_1681_7 = all_1658_4 % 258.89/41.00 | % 258.89/41.00 | COMBINE_EQS: (571), (572) imply: % 258.89/41.00 | (573) all_1669_5 = all_1658_4 % 258.89/41.00 | % 258.89/41.00 | SIMP: (573) implies: % 258.89/41.00 | (574) all_1669_5 = all_1658_4 % 258.89/41.00 | % 258.89/41.00 | COMBINE_EQS: (561), (562) imply: % 258.89/41.00 | (575) all_1669_9 = all_1663_8 % 258.89/41.00 | % 258.89/41.00 | COMBINE_EQS: (561), (570) imply: % 258.89/41.00 | (576) all_1669_9 = all_1665_8 % 258.89/41.00 | % 258.89/41.00 | COMBINE_EQS: (549), (574) imply: % 258.89/41.00 | (577) all_1658_4 = all_1648_7 % 258.89/41.00 | % 258.89/41.00 | COMBINE_EQS: (553), (574) imply: % 258.89/41.00 | (578) all_1658_4 = all_1656_4 % 258.89/41.00 | % 258.89/41.00 | COMBINE_EQS: (575), (576) imply: % 258.89/41.00 | (579) all_1665_8 = all_1663_8 % 258.89/41.00 | % 258.89/41.00 | SIMP: (579) implies: % 258.89/41.00 | (580) all_1665_8 = all_1663_8 % 258.89/41.00 | % 258.89/41.00 | COMBINE_EQS: (568), (580) imply: % 258.89/41.00 | (581) all_1663_8 = all_1448_2 % 258.89/41.00 | % 258.89/41.00 | COMBINE_EQS: (577), (578) imply: % 258.89/41.00 | (582) all_1656_4 = all_1648_7 % 258.89/41.00 | % 258.89/41.00 | SIMP: (582) implies: % 258.89/41.00 | (583) all_1656_4 = all_1648_7 % 258.89/41.00 | % 258.89/41.00 | COMBINE_EQS: (554), (583) imply: % 258.89/41.00 | (584) all_1648_7 = all_1437_3 % 258.89/41.00 | % 258.89/41.00 | COMBINE_EQS: (564), (583) imply: % 258.89/41.00 | (585) all_1648_7 = all_1643_5 % 258.89/41.00 | % 258.89/41.00 | COMBINE_EQS: (584), (585) imply: % 258.89/41.00 | (586) all_1643_5 = all_1437_3 % 258.89/41.00 | % 258.89/41.00 | COMBINE_EQS: (577), (584) imply: % 258.89/41.00 | (587) all_1658_4 = all_1437_3 % 258.89/41.00 | % 258.89/41.00 | COMBINE_EQS: (575), (581) imply: % 258.89/41.00 | (588) all_1669_9 = all_1448_2 % 258.89/41.00 | % 258.89/41.00 | COMBINE_EQS: (574), (587) imply: % 258.89/41.00 | (589) all_1669_5 = all_1437_3 % 258.89/41.00 | % 258.89/41.00 | COMBINE_EQS: (561), (588) imply: % 258.89/41.00 | (590) all_1679_9 = all_1448_2 % 258.89/41.00 | % 258.89/41.00 | COMBINE_EQS: (545), (590) imply: % 258.89/41.00 | (591) all_1707_13 = all_1448_2 % 258.89/41.00 | % 258.89/41.00 | REDUCE: (163), (589) imply: % 258.89/41.00 | (592) c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal, all_1669_7, % 258.89/41.00 | all_1437_3) = all_1669_4 % 258.89/41.00 | % 258.89/41.00 | REDUCE: (400), (591) imply: % 258.89/41.00 | (593) hAPP(all_1285_0, all_1448_2) = all_1707_12 % 258.89/41.00 | % 258.89/41.00 | REDUCE: (403), (543) imply: % 258.89/41.00 | (594) hAPP(all_1285_0, all_1448_2) = all_1702_11 % 258.89/41.00 | % 258.89/41.00 | REDUCE: (407), (590) imply: % 258.89/41.00 | (595) hAPP(all_1285_0, all_1448_2) = all_1679_8 % 258.89/41.00 | % 258.89/41.00 | REDUCE: (408), (588) imply: % 258.89/41.00 | (596) hAPP(all_1285_0, all_1448_2) = all_1669_8 % 258.89/41.00 | % 258.89/41.00 | REDUCE: (410), (568) imply: % 258.89/41.00 | (597) hAPP(all_1285_0, all_1448_2) = all_1665_7 % 258.89/41.00 | % 258.89/41.00 | REDUCE: (411), (581) imply: % 258.89/41.00 | (598) hAPP(all_1285_0, all_1448_2) = all_1663_7 % 258.89/41.00 | % 258.89/41.00 | GROUND_INST: instantiating (51) with all_1679_8, all_1702_11, all_1448_2, % 258.89/41.00 | all_1285_0, simplifying with (594), (595) gives: % 258.89/41.00 | (599) all_1702_11 = all_1679_8 % 258.89/41.00 | % 258.89/41.00 | GROUND_INST: instantiating (51) with all_1669_8, all_1702_11, all_1448_2, % 258.89/41.00 | all_1285_0, simplifying with (594), (596) gives: % 258.89/41.00 | (600) all_1702_11 = all_1669_8 % 258.89/41.00 | % 258.89/41.00 | GROUND_INST: instantiating (51) with all_1663_7, all_1702_11, all_1448_2, % 258.89/41.00 | all_1285_0, simplifying with (594), (598) gives: % 258.89/41.00 | (601) all_1702_11 = all_1663_7 % 258.89/41.00 | % 258.89/41.00 | GROUND_INST: instantiating (51) with all_1448_1, all_1707_12, all_1448_2, % 258.89/41.00 | all_1285_0, simplifying with (416), (593) gives: % 258.89/41.00 | (602) all_1707_12 = all_1448_1 % 258.89/41.00 | % 258.89/41.00 | GROUND_INST: instantiating (51) with all_1702_11, all_1707_12, all_1448_2, % 258.89/41.00 | all_1285_0, simplifying with (593), (594) gives: % 258.89/41.00 | (603) all_1707_12 = all_1702_11 % 258.89/41.00 | % 258.89/41.00 | GROUND_INST: instantiating (51) with all_1665_7, all_1707_12, all_1448_2, % 258.89/41.00 | all_1285_0, simplifying with (593), (597) gives: % 258.89/41.00 | (604) all_1707_12 = all_1665_7 % 258.89/41.00 | % 258.89/41.00 | COMBINE_EQS: (603), (604) imply: % 258.89/41.00 | (605) all_1702_11 = all_1665_7 % 258.89/41.00 | % 258.89/41.00 | SIMP: (605) implies: % 258.89/41.00 | (606) all_1702_11 = all_1665_7 % 258.89/41.00 | % 258.89/41.00 | COMBINE_EQS: (602), (604) imply: % 258.89/41.00 | (607) all_1665_7 = all_1448_1 % 258.89/41.00 | % 258.89/41.00 | COMBINE_EQS: (599), (600) imply: % 258.89/41.00 | (608) all_1679_8 = all_1669_8 % 258.89/41.00 | % 258.89/41.00 | COMBINE_EQS: (599), (601) imply: % 258.89/41.00 | (609) all_1679_8 = all_1663_7 % 258.89/41.00 | % 258.89/41.00 | COMBINE_EQS: (599), (606) imply: % 258.89/41.00 | (610) all_1679_8 = all_1665_7 % 258.89/41.00 | % 258.89/41.00 | COMBINE_EQS: (608), (609) imply: % 258.89/41.00 | (611) all_1669_8 = all_1663_7 % 258.89/41.00 | % 258.89/41.00 | COMBINE_EQS: (608), (610) imply: % 258.89/41.00 | (612) all_1669_8 = all_1665_7 % 258.89/41.00 | % 258.89/41.00 | COMBINE_EQS: (611), (612) imply: % 258.89/41.00 | (613) all_1665_7 = all_1663_7 % 258.89/41.00 | % 258.89/41.00 | SIMP: (613) implies: % 258.89/41.00 | (614) all_1665_7 = all_1663_7 % 258.89/41.00 | % 258.89/41.00 | COMBINE_EQS: (607), (614) imply: % 258.89/41.00 | (615) all_1663_7 = all_1448_1 % 258.89/41.00 | % 258.89/41.00 | COMBINE_EQS: (611), (615) imply: % 258.89/41.00 | (616) all_1669_8 = all_1448_1 % 258.89/41.00 | % 258.89/41.00 | COMBINE_EQS: (608), (616) imply: % 258.89/41.00 | (617) all_1679_8 = all_1448_1 % 258.89/41.00 | % 258.89/41.00 | COMBINE_EQS: (599), (617) imply: % 258.89/41.00 | (618) all_1702_11 = all_1448_1 % 258.89/41.00 | % 258.89/41.00 | REDUCE: (506), (618) imply: % 258.89/41.00 | (619) c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex, all_1448_1, % 258.89/41.00 | all_1437_4) = all_1702_9 % 258.89/41.00 | % 258.89/41.00 | REDUCE: (507), (616) imply: % 258.89/41.00 | (620) c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex, all_1448_1, % 258.89/41.00 | all_1437_4) = all_1669_2 % 258.89/41.00 | % 258.89/41.00 | REDUCE: (213), (602) imply: % 258.89/41.00 | (621) c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, all_1448_1) = % 258.89/41.00 | all_1707_11 % 258.89/41.00 | % 258.89/41.00 | REDUCE: (174), (617) imply: % 258.89/41.00 | (622) c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, all_1448_1) = % 258.89/41.00 | all_1679_7 % 258.89/41.00 | % 258.89/41.00 | REDUCE: (158), (616) imply: % 258.89/41.00 | (623) c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, all_1448_1) = % 258.89/41.00 | all_1669_7 % 258.89/41.00 | % 258.89/41.00 | REDUCE: (145), (607) imply: % 258.89/41.00 | (624) c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, all_1448_1) = % 258.89/41.00 | all_1665_6 % 258.89/41.00 | % 258.89/41.00 | REDUCE: (138), (615) imply: % 258.89/41.00 | (625) c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, all_1448_1) = % 258.89/41.00 | all_1663_6 % 258.89/41.00 | % 258.89/41.00 | REDUCE: (135), (615) imply: % 258.89/41.00 | (626) $i(all_1448_1) % 258.89/41.00 | % 258.89/41.00 | GROUND_INST: instantiating (52) with all_1448_0, all_1669_7, all_1448_1, % 258.89/41.00 | tc_Complex_Ocomplex, simplifying with (94), (623) gives: % 258.89/41.00 | (627) all_1669_7 = all_1448_0 % 258.89/41.00 | % 258.89/41.00 | GROUND_INST: instantiating (52) with all_1663_6, all_1669_7, all_1448_1, % 258.89/41.00 | tc_Complex_Ocomplex, simplifying with (623), (625) gives: % 258.89/41.00 | (628) all_1669_7 = all_1663_6 % 258.89/41.00 | % 258.89/41.00 | GROUND_INST: instantiating (52) with all_1679_7, all_1707_11, all_1448_1, % 258.89/41.00 | tc_Complex_Ocomplex, simplifying with (621), (622) gives: % 258.89/41.00 | (629) all_1707_11 = all_1679_7 % 258.89/41.00 | % 258.89/41.00 | GROUND_INST: instantiating (52) with all_1669_7, all_1707_11, all_1448_1, % 258.89/41.00 | tc_Complex_Ocomplex, simplifying with (621), (623) gives: % 258.89/41.00 | (630) all_1707_11 = all_1669_7 % 258.89/41.00 | % 258.89/41.00 | GROUND_INST: instantiating (52) with all_1665_6, all_1707_11, all_1448_1, % 258.89/41.00 | tc_Complex_Ocomplex, simplifying with (621), (624) gives: % 258.89/41.00 | (631) all_1707_11 = all_1665_6 % 258.89/41.00 | % 258.89/41.00 | GROUND_INST: instantiating (55) with all_1669_2, all_1702_9, all_1437_4, % 258.89/41.00 | all_1448_1, tc_Complex_Ocomplex, simplifying with (619), (620) % 258.89/41.00 | gives: % 258.89/41.00 | (632) all_1702_9 = all_1669_2 % 258.89/41.00 | % 258.89/41.00 | COMBINE_EQS: (629), (631) imply: % 258.89/41.00 | (633) all_1679_7 = all_1665_6 % 258.89/41.00 | % 258.89/41.00 | COMBINE_EQS: (629), (630) imply: % 258.89/41.00 | (634) all_1679_7 = all_1669_7 % 258.89/41.00 | % 258.89/41.00 | COMBINE_EQS: (633), (634) imply: % 258.89/41.00 | (635) all_1669_7 = all_1665_6 % 258.89/41.00 | % 258.89/41.00 | SIMP: (635) implies: % 258.89/41.00 | (636) all_1669_7 = all_1665_6 % 258.89/41.00 | % 258.89/41.00 | COMBINE_EQS: (628), (636) imply: % 258.89/41.00 | (637) all_1665_6 = all_1663_6 % 258.89/41.00 | % 258.89/41.00 | COMBINE_EQS: (627), (636) imply: % 258.89/41.00 | (638) all_1665_6 = all_1448_0 % 258.89/41.00 | % 258.89/41.00 | COMBINE_EQS: (637), (638) imply: % 258.89/41.00 | (639) all_1663_6 = all_1448_0 % 258.89/41.00 | % 258.89/41.00 | REDUCE: (592), (627) imply: % 258.89/41.00 | (640) c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal, all_1448_0, % 258.89/41.00 | all_1437_3) = all_1669_4 % 258.89/41.00 | % 258.89/41.00 | REDUCE: (200), (632) imply: % 258.89/41.00 | (641) c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, all_1669_2) = % 258.89/41.00 | all_1702_8 % 258.89/41.00 | % 258.89/41.00 | REDUCE: (195), (632) imply: % 258.89/41.00 | (642) $i(all_1669_2) % 258.89/41.00 | % 258.89/41.00 | GROUND_INST: instantiating (52) with all_1669_1, all_1702_8, all_1669_2, % 258.89/41.00 | tc_Complex_Ocomplex, simplifying with (160), (641) gives: % 258.89/41.00 | (643) all_1702_8 = all_1669_1 % 258.89/41.00 | % 258.89/41.00 | GROUND_INST: instantiating (86) with v_w____, tc_Complex_Ocomplex, all_972_0, % 258.89/41.00 | simplifying with (1), (46), (57) gives: % 258.89/41.00 | (644) ? [v0: any] : ? [v1: any] : ? [v2: $i] : % 258.89/41.00 | (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1416_0, % 258.89/41.00 | all_972_0) = v1 & % 258.89/41.00 | c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = v2 & % 258.89/41.00 | class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex) = v0 & % 258.89/41.00 | $i(v2) & ( ~ (v0 = 0) | (( ~ (v2 = v_w____) | ~ (v1 = 0)) & (v2 = % 258.89/41.01 | v_w____ | v1 = 0)))) % 258.89/41.01 | % 258.89/41.01 | GROUND_INST: instantiating (75) with v_w____, tc_Complex_Ocomplex, all_972_0, % 258.89/41.01 | simplifying with (1), (46), (57) gives: % 258.89/41.01 | (645) ? [v0: any] : ? [v1: any] : ? [v2: $i] : % 258.89/41.01 | (c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = v2 & % 258.89/41.01 | class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex) = v0 & % 258.89/41.01 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_972_0, % 258.89/41.01 | all_1396_0) = v1 & $i(v2) & ( ~ (v0 = 0) | (( ~ (v2 = v_w____) | % 258.89/41.01 | v1 = 0) & ( ~ (v1 = 0) | v2 = v_w____)))) % 258.89/41.01 | % 258.89/41.01 | GROUND_INST: instantiating (66) with v_w____, tc_Complex_Ocomplex, all_972_0, % 258.89/41.01 | simplifying with (1), (46), (57) gives: % 258.89/41.01 | (646) ? [v0: any] : ? [v1: any] : % 258.89/41.01 | (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_972_0, % 258.89/41.01 | all_1217_0) = v1 & % 258.89/41.01 | class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex) = v0 & % 258.89/41.01 | ( ~ (v1 = 0) | ~ (v0 = 0))) % 258.89/41.01 | % 258.89/41.01 | GROUND_INST: instantiating (73) with v_w____, tc_Complex_Ocomplex, all_972_0, % 258.89/41.01 | simplifying with (1), (46), (57) gives: % 258.89/41.01 | (647) ? [v0: any] : ? [v1: $i] : % 258.89/41.01 | (c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = v1 & % 258.89/41.01 | class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex) = v0 & % 258.89/41.01 | $i(v1) & ( ~ (v0 = 0) | (( ~ (v1 = v_w____) | all_1358_0 = % 258.89/41.01 | all_972_0) & ( ~ (all_1358_0 = all_972_0) | v1 = v_w____)))) % 258.89/41.01 | % 258.89/41.01 | GROUND_INST: instantiating (5) with v_w____, tc_Complex_Ocomplex, all_972_0, % 258.89/41.01 | simplifying with (1), (46), (57) gives: % 258.89/41.01 | (648) ? [v0: any] : ? [v1: $i] : % 258.89/41.01 | (c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, all_972_0) = v1 & % 258.89/41.01 | class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex) = v0 & % 258.89/41.01 | $i(v1) & ( ~ (v0 = 0) | v1 = all_972_0)) % 258.89/41.01 | % 258.89/41.01 | GROUND_INST: instantiating (64) with v_w____, tc_Complex_Ocomplex, all_972_0, % 258.89/41.01 | simplifying with (1), (46), (57) gives: % 258.89/41.01 | (649) ? [v0: any] : ? [v1: any] : % 258.89/41.01 | (class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex) = v0 & % 258.89/41.01 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_1199_0, % 258.89/41.01 | all_972_0) = v1 & ( ~ (v0 = 0) | v1 = 0)) % 258.89/41.01 | % 258.89/41.01 | GROUND_INST: instantiating (86) with all_978_0, tc_Complex_Ocomplex, % 258.89/41.01 | all_1408_4, simplifying with (46), (396), (427) gives: % 258.89/41.01 | (650) ? [v0: any] : ? [v1: any] : ? [v2: $i] : % 258.89/41.01 | (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1416_0, % 258.89/41.01 | all_1408_4) = v1 & % 258.89/41.01 | c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = v2 & % 258.89/41.01 | class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex) = v0 & % 258.89/41.01 | $i(v2) & ( ~ (v0 = 0) | (( ~ (v2 = all_978_0) | ~ (v1 = 0)) & (v2 % 258.89/41.01 | = all_978_0 | v1 = 0)))) % 258.89/41.01 | % 258.89/41.01 | GROUND_INST: instantiating (75) with all_978_0, tc_Complex_Ocomplex, % 258.89/41.01 | all_1408_4, simplifying with (46), (396), (427) gives: % 258.89/41.01 | (651) ? [v0: any] : ? [v1: any] : ? [v2: $i] : % 258.89/41.01 | (c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = v2 & % 258.89/41.01 | class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex) = v0 & % 258.89/41.01 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_1408_4, % 258.89/41.01 | all_1396_0) = v1 & $i(v2) & ( ~ (v0 = 0) | (( ~ (v2 = all_978_0) % 258.89/41.01 | | v1 = 0) & ( ~ (v1 = 0) | v2 = all_978_0)))) % 258.89/41.01 | % 258.89/41.01 | GROUND_INST: instantiating (66) with all_978_0, tc_Complex_Ocomplex, % 258.89/41.01 | all_1408_4, simplifying with (46), (396), (427) gives: % 258.89/41.01 | (652) ? [v0: any] : ? [v1: any] : % 258.89/41.01 | (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1408_4, % 258.89/41.01 | all_1217_0) = v1 & % 258.89/41.01 | class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex) = v0 & % 258.89/41.01 | ( ~ (v1 = 0) | ~ (v0 = 0))) % 258.89/41.01 | % 258.89/41.01 | GROUND_INST: instantiating (73) with all_978_0, tc_Complex_Ocomplex, % 258.89/41.01 | all_1408_4, simplifying with (46), (396), (427) gives: % 258.89/41.01 | (653) ? [v0: any] : ? [v1: $i] : % 258.89/41.01 | (c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = v1 & % 258.89/41.01 | class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex) = v0 & % 258.89/41.01 | $i(v1) & ( ~ (v0 = 0) | (( ~ (v1 = all_978_0) | all_1408_4 = % 258.89/41.01 | all_1358_0) & ( ~ (all_1408_4 = all_1358_0) | v1 = % 258.89/41.01 | all_978_0)))) % 258.89/41.01 | % 258.89/41.01 | GROUND_INST: instantiating (5) with all_978_0, tc_Complex_Ocomplex, % 258.89/41.01 | all_1408_4, simplifying with (46), (396), (427) gives: % 258.89/41.01 | (654) ? [v0: any] : ? [v1: $i] : % 258.89/41.01 | (c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, all_1408_4) = v1 & % 258.89/41.01 | class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex) = v0 & % 258.89/41.01 | $i(v1) & ( ~ (v0 = 0) | v1 = all_1408_4)) % 258.89/41.01 | % 258.89/41.01 | GROUND_INST: instantiating (64) with all_978_0, tc_Complex_Ocomplex, % 258.89/41.01 | all_1408_4, simplifying with (46), (396), (427) gives: % 258.89/41.01 | (655) ? [v0: any] : ? [v1: any] : % 258.89/41.01 | (class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex) = v0 & % 258.89/41.01 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_1199_0, % 258.89/41.01 | all_1408_4) = v1 & ( ~ (v0 = 0) | v1 = 0)) % 258.89/41.01 | % 258.89/41.01 | GROUND_INST: instantiating (86) with all_1408_2, tc_Complex_Ocomplex, % 258.89/41.01 | all_1408_1, simplifying with (46), (78), (80) gives: % 258.89/41.01 | (656) ? [v0: any] : ? [v1: any] : ? [v2: $i] : % 258.89/41.01 | (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1416_0, % 258.89/41.01 | all_1408_1) = v1 & % 258.89/41.01 | c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = v2 & % 258.89/41.01 | class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex) = v0 & % 258.89/41.01 | $i(v2) & ( ~ (v0 = 0) | (( ~ (v2 = all_1408_2) | ~ (v1 = 0)) & (v2 % 258.89/41.01 | = all_1408_2 | v1 = 0)))) % 258.89/41.01 | % 258.89/41.01 | GROUND_INST: instantiating (75) with all_1408_2, tc_Complex_Ocomplex, % 258.89/41.01 | all_1408_1, simplifying with (46), (78), (80) gives: % 258.89/41.01 | (657) ? [v0: any] : ? [v1: any] : ? [v2: $i] : % 258.89/41.01 | (c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = v2 & % 258.89/41.01 | class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex) = v0 & % 258.89/41.01 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_1408_1, % 258.89/41.01 | all_1396_0) = v1 & $i(v2) & ( ~ (v0 = 0) | (( ~ (v2 = all_1408_2) % 258.89/41.01 | | v1 = 0) & ( ~ (v1 = 0) | v2 = all_1408_2)))) % 258.89/41.01 | % 258.89/41.01 | GROUND_INST: instantiating (66) with all_1408_2, tc_Complex_Ocomplex, % 258.89/41.01 | all_1408_1, simplifying with (46), (78), (80) gives: % 258.89/41.01 | (658) ? [v0: any] : ? [v1: any] : % 258.89/41.01 | (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1408_1, % 258.89/41.01 | all_1217_0) = v1 & % 258.89/41.01 | class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex) = v0 & % 258.89/41.01 | ( ~ (v1 = 0) | ~ (v0 = 0))) % 258.89/41.01 | % 258.89/41.01 | GROUND_INST: instantiating (73) with all_1408_2, tc_Complex_Ocomplex, % 258.89/41.01 | all_1408_1, simplifying with (46), (78), (80) gives: % 258.89/41.01 | (659) ? [v0: any] : ? [v1: $i] : % 258.89/41.01 | (c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = v1 & % 258.89/41.01 | class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex) = v0 & % 258.89/41.01 | $i(v1) & ( ~ (v0 = 0) | (( ~ (v1 = all_1408_2) | all_1408_1 = % 258.89/41.01 | all_1358_0) & ( ~ (all_1408_1 = all_1358_0) | v1 = % 258.89/41.01 | all_1408_2)))) % 258.89/41.01 | % 258.89/41.01 | GROUND_INST: instantiating (5) with all_1408_2, tc_Complex_Ocomplex, % 258.89/41.01 | all_1408_1, simplifying with (46), (78), (80) gives: % 258.89/41.01 | (660) ? [v0: any] : ? [v1: $i] : % 258.89/41.01 | (c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, all_1408_1) = v1 & % 258.89/41.01 | class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex) = v0 & % 258.89/41.01 | $i(v1) & ( ~ (v0 = 0) | v1 = all_1408_1)) % 258.89/41.01 | % 258.89/41.01 | GROUND_INST: instantiating (64) with all_1408_2, tc_Complex_Ocomplex, % 258.89/41.01 | all_1408_1, simplifying with (46), (78), (80) gives: % 258.89/41.01 | (661) ? [v0: any] : ? [v1: any] : % 258.89/41.01 | (class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex) = v0 & % 258.89/41.01 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_1199_0, % 258.89/41.01 | all_1408_1) = v1 & ( ~ (v0 = 0) | v1 = 0)) % 258.89/41.01 | % 258.89/41.01 | GROUND_INST: instantiating (86) with all_1437_4, tc_Complex_Ocomplex, % 258.89/41.01 | all_1437_3, simplifying with (46), (89), (528) gives: % 258.89/41.01 | (662) ? [v0: any] : ? [v1: any] : ? [v2: $i] : % 258.89/41.01 | (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1416_0, % 258.89/41.01 | all_1437_3) = v1 & % 258.89/41.01 | c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = v2 & % 258.89/41.01 | class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex) = v0 & % 258.89/41.01 | $i(v2) & ( ~ (v0 = 0) | (( ~ (v2 = all_1437_4) | ~ (v1 = 0)) & (v2 % 258.89/41.01 | = all_1437_4 | v1 = 0)))) % 258.89/41.01 | % 258.89/41.01 | GROUND_INST: instantiating (75) with all_1437_4, tc_Complex_Ocomplex, % 258.89/41.01 | all_1437_3, simplifying with (46), (89), (528) gives: % 258.89/41.01 | (663) ? [v0: any] : ? [v1: any] : ? [v2: $i] : % 258.89/41.01 | (c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = v2 & % 258.89/41.01 | class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex) = v0 & % 258.89/41.01 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_1437_3, % 258.89/41.01 | all_1396_0) = v1 & $i(v2) & ( ~ (v0 = 0) | (( ~ (v2 = all_1437_4) % 258.89/41.01 | | v1 = 0) & ( ~ (v1 = 0) | v2 = all_1437_4)))) % 258.89/41.01 | % 258.89/41.01 | GROUND_INST: instantiating (66) with all_1437_4, tc_Complex_Ocomplex, % 258.89/41.01 | all_1437_3, simplifying with (46), (89), (528) gives: % 258.89/41.01 | (664) ? [v0: any] : ? [v1: any] : % 258.89/41.01 | (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1437_3, % 258.89/41.01 | all_1217_0) = v1 & % 258.89/41.01 | class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex) = v0 & % 258.89/41.01 | ( ~ (v1 = 0) | ~ (v0 = 0))) % 258.89/41.01 | % 258.89/41.01 | GROUND_INST: instantiating (73) with all_1437_4, tc_Complex_Ocomplex, % 258.89/41.01 | all_1437_3, simplifying with (46), (89), (528) gives: % 258.89/41.01 | (665) ? [v0: any] : ? [v1: $i] : % 258.89/41.01 | (c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = v1 & % 258.89/41.01 | class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex) = v0 & % 258.89/41.01 | $i(v1) & ( ~ (v0 = 0) | (( ~ (v1 = all_1437_4) | all_1437_3 = % 258.89/41.01 | all_1358_0) & ( ~ (all_1437_3 = all_1358_0) | v1 = % 258.89/41.01 | all_1437_4)))) % 258.89/41.01 | % 258.89/41.01 | GROUND_INST: instantiating (5) with all_1437_4, tc_Complex_Ocomplex, % 258.89/41.01 | all_1437_3, simplifying with (46), (89), (528) gives: % 258.89/41.01 | (666) ? [v0: any] : ? [v1: $i] : % 258.89/41.01 | (c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, all_1437_3) = v1 & % 258.89/41.01 | class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex) = v0 & % 258.89/41.01 | $i(v1) & ( ~ (v0 = 0) | v1 = all_1437_3)) % 258.89/41.01 | % 258.89/41.01 | GROUND_INST: instantiating (64) with all_1437_4, tc_Complex_Ocomplex, % 258.89/41.01 | all_1437_3, simplifying with (46), (89), (528) gives: % 258.89/41.01 | (667) ? [v0: any] : ? [v1: any] : % 258.89/41.01 | (class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex) = v0 & % 258.89/41.01 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_1199_0, % 258.89/41.01 | all_1437_3) = v1 & ( ~ (v0 = 0) | v1 = 0)) % 258.89/41.01 | % 258.89/41.01 | GROUND_INST: instantiating (86) with all_1448_1, tc_Complex_Ocomplex, % 258.89/41.01 | all_1448_0, simplifying with (46), (94), (626) gives: % 258.89/41.01 | (668) ? [v0: any] : ? [v1: any] : ? [v2: $i] : % 258.89/41.01 | (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1416_0, % 258.89/41.01 | all_1448_0) = v1 & % 258.89/41.01 | c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = v2 & % 258.89/41.01 | class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex) = v0 & % 258.89/41.01 | $i(v2) & ( ~ (v0 = 0) | (( ~ (v2 = all_1448_1) | ~ (v1 = 0)) & (v2 % 258.89/41.01 | = all_1448_1 | v1 = 0)))) % 258.89/41.01 | % 258.89/41.01 | GROUND_INST: instantiating (75) with all_1448_1, tc_Complex_Ocomplex, % 258.89/41.01 | all_1448_0, simplifying with (46), (94), (626) gives: % 258.89/41.01 | (669) ? [v0: any] : ? [v1: any] : ? [v2: $i] : % 258.89/41.01 | (c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = v2 & % 258.89/41.01 | class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex) = v0 & % 258.89/41.01 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_1448_0, % 258.89/41.01 | all_1396_0) = v1 & $i(v2) & ( ~ (v0 = 0) | (( ~ (v2 = all_1448_1) % 258.89/41.01 | | v1 = 0) & ( ~ (v1 = 0) | v2 = all_1448_1)))) % 258.89/41.01 | % 258.89/41.01 | GROUND_INST: instantiating (66) with all_1448_1, tc_Complex_Ocomplex, % 258.89/41.01 | all_1448_0, simplifying with (46), (94), (626) gives: % 258.89/41.01 | (670) ? [v0: any] : ? [v1: any] : % 258.89/41.01 | (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1448_0, % 258.89/41.01 | all_1217_0) = v1 & % 258.89/41.01 | class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex) = v0 & % 258.89/41.01 | ( ~ (v1 = 0) | ~ (v0 = 0))) % 258.89/41.01 | % 258.89/41.01 | GROUND_INST: instantiating (73) with all_1448_1, tc_Complex_Ocomplex, % 258.89/41.01 | all_1448_0, simplifying with (46), (94), (626) gives: % 258.89/41.01 | (671) ? [v0: any] : ? [v1: $i] : % 258.89/41.01 | (c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = v1 & % 258.89/41.01 | class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex) = v0 & % 258.89/41.01 | $i(v1) & ( ~ (v0 = 0) | (( ~ (v1 = all_1448_1) | all_1448_0 = % 258.89/41.01 | all_1358_0) & ( ~ (all_1448_0 = all_1358_0) | v1 = % 258.89/41.01 | all_1448_1)))) % 258.89/41.01 | % 258.89/41.01 | GROUND_INST: instantiating (5) with all_1448_1, tc_Complex_Ocomplex, % 258.89/41.01 | all_1448_0, simplifying with (46), (94), (626) gives: % 258.89/41.02 | (672) ? [v0: any] : ? [v1: $i] : % 258.89/41.02 | (c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, all_1448_0) = v1 & % 258.89/41.02 | class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex) = v0 & % 258.89/41.02 | $i(v1) & ( ~ (v0 = 0) | v1 = all_1448_0)) % 258.89/41.02 | % 258.89/41.02 | GROUND_INST: instantiating (64) with all_1448_1, tc_Complex_Ocomplex, % 258.89/41.02 | all_1448_0, simplifying with (46), (94), (626) gives: % 258.89/41.02 | (673) ? [v0: any] : ? [v1: any] : % 258.89/41.02 | (class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex) = v0 & % 258.89/41.02 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_1199_0, % 258.89/41.02 | all_1448_0) = v1 & ( ~ (v0 = 0) | v1 = 0)) % 258.89/41.02 | % 258.89/41.02 | GROUND_INST: instantiating (86) with all_1669_2, tc_Complex_Ocomplex, % 258.89/41.02 | all_1669_1, simplifying with (46), (160), (642) gives: % 258.89/41.02 | (674) ? [v0: any] : ? [v1: any] : ? [v2: $i] : % 258.89/41.02 | (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1416_0, % 258.89/41.02 | all_1669_1) = v1 & % 258.89/41.02 | c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = v2 & % 258.89/41.02 | class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex) = v0 & % 258.89/41.02 | $i(v2) & ( ~ (v0 = 0) | (( ~ (v2 = all_1669_2) | ~ (v1 = 0)) & (v2 % 258.89/41.02 | = all_1669_2 | v1 = 0)))) % 258.89/41.02 | % 258.89/41.02 | GROUND_INST: instantiating (75) with all_1669_2, tc_Complex_Ocomplex, % 258.89/41.02 | all_1669_1, simplifying with (46), (160), (642) gives: % 258.89/41.02 | (675) ? [v0: any] : ? [v1: any] : ? [v2: $i] : % 258.89/41.02 | (c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = v2 & % 258.89/41.02 | class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex) = v0 & % 258.89/41.02 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_1669_1, % 258.89/41.02 | all_1396_0) = v1 & $i(v2) & ( ~ (v0 = 0) | (( ~ (v2 = all_1669_2) % 258.89/41.02 | | v1 = 0) & ( ~ (v1 = 0) | v2 = all_1669_2)))) % 258.89/41.02 | % 258.89/41.02 | GROUND_INST: instantiating (66) with all_1669_2, tc_Complex_Ocomplex, % 258.89/41.02 | all_1669_1, simplifying with (46), (160), (642) gives: % 258.89/41.02 | (676) ? [v0: any] : ? [v1: any] : % 258.89/41.02 | (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1669_1, % 258.89/41.02 | all_1217_0) = v1 & % 258.89/41.02 | class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex) = v0 & % 258.89/41.02 | ( ~ (v1 = 0) | ~ (v0 = 0))) % 258.89/41.02 | % 258.89/41.02 | GROUND_INST: instantiating (73) with all_1669_2, tc_Complex_Ocomplex, % 258.89/41.02 | all_1669_1, simplifying with (46), (160), (642) gives: % 258.89/41.02 | (677) ? [v0: any] : ? [v1: $i] : % 258.89/41.02 | (c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = v1 & % 258.89/41.02 | class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex) = v0 & % 258.89/41.02 | $i(v1) & ( ~ (v0 = 0) | (( ~ (v1 = all_1669_2) | all_1669_1 = % 258.89/41.02 | all_1358_0) & ( ~ (all_1669_1 = all_1358_0) | v1 = % 258.89/41.02 | all_1669_2)))) % 258.89/41.02 | % 258.89/41.02 | GROUND_INST: instantiating (5) with all_1669_2, tc_Complex_Ocomplex, % 258.89/41.02 | all_1669_1, simplifying with (46), (160), (642) gives: % 258.89/41.02 | (678) ? [v0: any] : ? [v1: $i] : % 258.89/41.02 | (c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, all_1669_1) = v1 & % 258.89/41.02 | class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex) = v0 & % 258.89/41.02 | $i(v1) & ( ~ (v0 = 0) | v1 = all_1669_1)) % 258.89/41.02 | % 258.89/41.02 | GROUND_INST: instantiating (64) with all_1669_2, tc_Complex_Ocomplex, % 258.89/41.02 | all_1669_1, simplifying with (46), (160), (642) gives: % 258.89/41.02 | (679) ? [v0: any] : ? [v1: any] : % 258.89/41.02 | (class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex) = v0 & % 258.89/41.02 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_1199_0, % 258.89/41.02 | all_1669_1) = v1 & ( ~ (v0 = 0) | v1 = 0)) % 258.89/41.02 | % 258.89/41.02 | GROUND_INST: instantiating (86) with all_1729_3, tc_Complex_Ocomplex, % 258.89/41.02 | all_1729_2, simplifying with (46), (232), (234) gives: % 258.89/41.02 | (680) ? [v0: any] : ? [v1: any] : ? [v2: $i] : % 258.89/41.02 | (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1416_0, % 258.89/41.02 | all_1729_2) = v1 & % 258.89/41.02 | c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = v2 & % 258.89/41.02 | class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex) = v0 & % 258.89/41.02 | $i(v2) & ( ~ (v0 = 0) | (( ~ (v2 = all_1729_3) | ~ (v1 = 0)) & (v2 % 258.89/41.02 | = all_1729_3 | v1 = 0)))) % 258.89/41.02 | % 258.89/41.02 | GROUND_INST: instantiating (75) with all_1729_3, tc_Complex_Ocomplex, % 258.89/41.02 | all_1729_2, simplifying with (46), (232), (234) gives: % 258.89/41.02 | (681) ? [v0: any] : ? [v1: any] : ? [v2: $i] : % 258.89/41.02 | (c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = v2 & % 258.89/41.02 | class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex) = v0 & % 258.89/41.02 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_1729_2, % 258.89/41.02 | all_1396_0) = v1 & $i(v2) & ( ~ (v0 = 0) | (( ~ (v2 = all_1729_3) % 258.89/41.02 | | v1 = 0) & ( ~ (v1 = 0) | v2 = all_1729_3)))) % 258.89/41.02 | % 258.89/41.02 | GROUND_INST: instantiating (66) with all_1729_3, tc_Complex_Ocomplex, % 258.89/41.02 | all_1729_2, simplifying with (46), (232), (234) gives: % 258.89/41.02 | (682) ? [v0: any] : ? [v1: any] : % 258.89/41.02 | (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1729_2, % 258.89/41.02 | all_1217_0) = v1 & % 258.89/41.02 | class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex) = v0 & % 258.89/41.02 | ( ~ (v1 = 0) | ~ (v0 = 0))) % 258.89/41.02 | % 258.89/41.02 | GROUND_INST: instantiating (73) with all_1729_3, tc_Complex_Ocomplex, % 258.89/41.02 | all_1729_2, simplifying with (46), (232), (234) gives: % 258.89/41.02 | (683) ? [v0: any] : ? [v1: $i] : % 258.89/41.02 | (c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = v1 & % 258.89/41.02 | class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex) = v0 & % 258.89/41.02 | $i(v1) & ( ~ (v0 = 0) | (( ~ (v1 = all_1729_3) | all_1729_2 = % 258.89/41.02 | all_1358_0) & ( ~ (all_1729_2 = all_1358_0) | v1 = % 258.89/41.02 | all_1729_3)))) % 258.89/41.02 | % 258.89/41.02 | GROUND_INST: instantiating (5) with all_1729_3, tc_Complex_Ocomplex, % 258.89/41.02 | all_1729_2, simplifying with (46), (232), (234) gives: % 259.32/41.02 | (684) ? [v0: any] : ? [v1: $i] : % 259.32/41.02 | (c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, all_1729_2) = v1 & % 259.32/41.02 | class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex) = v0 & % 259.32/41.02 | $i(v1) & ( ~ (v0 = 0) | v1 = all_1729_2)) % 259.32/41.02 | % 259.32/41.02 | GROUND_INST: instantiating (64) with all_1729_3, tc_Complex_Ocomplex, % 259.32/41.02 | all_1729_2, simplifying with (46), (232), (234) gives: % 259.32/41.02 | (685) ? [v0: any] : ? [v1: any] : % 259.32/41.02 | (class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex) = v0 & % 259.32/41.02 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_1199_0, % 259.32/41.02 | all_1729_2) = v1 & ( ~ (v0 = 0) | v1 = 0)) % 259.32/41.02 | % 259.32/41.02 | GROUND_INST: instantiating (86) with all_1729_1, tc_Complex_Ocomplex, % 259.32/41.02 | all_1729_0, simplifying with (46), (233), (235) gives: % 259.32/41.02 | (686) ? [v0: any] : ? [v1: any] : ? [v2: $i] : % 259.32/41.02 | (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1416_0, % 259.32/41.02 | all_1729_0) = v1 & % 259.32/41.02 | c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = v2 & % 259.32/41.02 | class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex) = v0 & % 259.32/41.02 | $i(v2) & ( ~ (v0 = 0) | (( ~ (v2 = all_1729_1) | ~ (v1 = 0)) & (v2 % 259.32/41.02 | = all_1729_1 | v1 = 0)))) % 259.32/41.02 | % 259.32/41.02 | GROUND_INST: instantiating (75) with all_1729_1, tc_Complex_Ocomplex, % 259.32/41.02 | all_1729_0, simplifying with (46), (233), (235) gives: % 259.32/41.02 | (687) ? [v0: any] : ? [v1: any] : ? [v2: $i] : % 259.32/41.02 | (c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = v2 & % 259.32/41.02 | class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex) = v0 & % 259.32/41.02 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_1729_0, % 259.32/41.02 | all_1396_0) = v1 & $i(v2) & ( ~ (v0 = 0) | (( ~ (v2 = all_1729_1) % 259.32/41.02 | | v1 = 0) & ( ~ (v1 = 0) | v2 = all_1729_1)))) % 259.32/41.02 | % 259.32/41.02 | GROUND_INST: instantiating (66) with all_1729_1, tc_Complex_Ocomplex, % 259.32/41.02 | all_1729_0, simplifying with (46), (233), (235) gives: % 259.32/41.02 | (688) ? [v0: any] : ? [v1: any] : % 259.32/41.02 | (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1729_0, % 259.32/41.02 | all_1217_0) = v1 & % 259.32/41.02 | class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex) = v0 & % 259.32/41.02 | ( ~ (v1 = 0) | ~ (v0 = 0))) % 259.32/41.02 | % 259.32/41.02 | GROUND_INST: instantiating (73) with all_1729_1, tc_Complex_Ocomplex, % 259.32/41.02 | all_1729_0, simplifying with (46), (233), (235) gives: % 259.32/41.02 | (689) ? [v0: any] : ? [v1: $i] : % 259.32/41.02 | (c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = v1 & % 259.32/41.02 | class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex) = v0 & % 259.32/41.02 | $i(v1) & ( ~ (v0 = 0) | (( ~ (v1 = all_1729_1) | all_1729_0 = % 259.32/41.02 | all_1358_0) & ( ~ (all_1729_0 = all_1358_0) | v1 = % 259.32/41.02 | all_1729_1)))) % 259.32/41.02 | % 259.32/41.02 | GROUND_INST: instantiating (5) with all_1729_1, tc_Complex_Ocomplex, % 259.32/41.02 | all_1729_0, simplifying with (46), (233), (235) gives: % 259.32/41.02 | (690) ? [v0: any] : ? [v1: $i] : % 259.32/41.02 | (c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, all_1729_0) = v1 & % 259.32/41.02 | class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex) = v0 & % 259.32/41.02 | $i(v1) & ( ~ (v0 = 0) | v1 = all_1729_0)) % 259.32/41.02 | % 259.32/41.02 | GROUND_INST: instantiating (64) with all_1729_1, tc_Complex_Ocomplex, % 259.32/41.02 | all_1729_0, simplifying with (46), (233), (235) gives: % 259.32/41.02 | (691) ? [v0: any] : ? [v1: any] : % 259.32/41.02 | (class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex) = v0 & % 259.32/41.02 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_1199_0, % 259.32/41.02 | all_1729_0) = v1 & ( ~ (v0 = 0) | v1 = 0)) % 259.32/41.02 | % 259.32/41.02 | GROUND_INST: instantiating (fact_norm__minus__commute) with all_1448_1, % 259.32/41.02 | all_1437_4, tc_Complex_Ocomplex, all_1669_2, all_1669_1, % 259.32/41.02 | simplifying with (46), (160), (528), (620), (626) gives: % 259.32/41.02 | (692) ? [v0: any] : ? [v1: $i] : ? [v2: $i] : % 259.32/41.02 | (c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex, all_1437_4, % 259.32/41.02 | all_1448_1) = v1 & % 259.32/41.02 | class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex) = v0 & % 259.32/41.02 | c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v1) = v2 & % 259.32/41.02 | $i(v2) & $i(v1) & ( ~ (v0 = 0) | v2 = all_1669_1)) % 259.32/41.02 | % 259.32/41.02 | GROUND_INST: instantiating (4) with all_1437_4, all_1448_1, % 259.32/41.02 | tc_Complex_Ocomplex, all_1448_0, all_1437_3, all_1669_4, % 259.32/41.02 | all_1669_3, all_1669_2, all_1669_1, all_1669_0, simplifying with % 259.32/41.02 | (46), (89), (94), (157), (160), (165), (528), (620), (626), (640) % 259.32/41.02 | gives: % 259.32/41.02 | (693) all_1669_0 = 0 | ? [v0: int] : ( ~ (v0 = 0) & % 259.32/41.02 | class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex) = v0) % 259.32/41.02 | % 259.32/41.02 | DELTA: instantiating (691) with fresh symbols all_2258_0, all_2258_1 gives: % 259.32/41.02 | (694) class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex) = % 259.32/41.02 | all_2258_1 & c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, % 259.32/41.02 | all_1199_0, all_1729_0) = all_2258_0 & ( ~ (all_2258_1 = 0) | % 259.32/41.02 | all_2258_0 = 0) % 259.32/41.02 | % 259.32/41.02 | ALPHA: (694) implies: % 259.32/41.02 | (695) class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex) = % 259.32/41.02 | all_2258_1 % 259.32/41.03 | % 259.32/41.03 | DELTA: instantiating (685) with fresh symbols all_2260_0, all_2260_1 gives: % 259.32/41.03 | (696) class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex) = % 259.32/41.03 | all_2260_1 & c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, % 259.32/41.03 | all_1199_0, all_1729_2) = all_2260_0 & ( ~ (all_2260_1 = 0) | % 259.32/41.03 | all_2260_0 = 0) % 259.32/41.03 | % 259.32/41.03 | ALPHA: (696) implies: % 259.32/41.03 | (697) class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex) = % 259.32/41.03 | all_2260_1 % 259.32/41.03 | % 259.32/41.03 | DELTA: instantiating (682) with fresh symbols all_2262_0, all_2262_1 gives: % 259.32/41.03 | (698) c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1729_2, % 259.32/41.03 | all_1217_0) = all_2262_0 & % 259.32/41.03 | class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex) = % 259.32/41.03 | all_2262_1 & ( ~ (all_2262_0 = 0) | ~ (all_2262_1 = 0)) % 259.32/41.03 | % 259.32/41.03 | ALPHA: (698) implies: % 259.32/41.03 | (699) class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex) = % 259.32/41.03 | all_2262_1 % 259.32/41.03 | % 259.32/41.03 | DELTA: instantiating (679) with fresh symbols all_2264_0, all_2264_1 gives: % 259.32/41.03 | (700) class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex) = % 259.32/41.03 | all_2264_1 & c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, % 259.32/41.03 | all_1199_0, all_1669_1) = all_2264_0 & ( ~ (all_2264_1 = 0) | % 259.32/41.03 | all_2264_0 = 0) % 259.32/41.03 | % 259.32/41.03 | ALPHA: (700) implies: % 259.32/41.03 | (701) class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex) = % 259.32/41.03 | all_2264_1 % 259.32/41.03 | % 259.32/41.03 | DELTA: instantiating (676) with fresh symbols all_2266_0, all_2266_1 gives: % 259.32/41.03 | (702) c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1669_1, % 259.32/41.03 | all_1217_0) = all_2266_0 & % 259.32/41.03 | class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex) = % 259.32/41.03 | all_2266_1 & ( ~ (all_2266_0 = 0) | ~ (all_2266_1 = 0)) % 259.32/41.03 | % 259.32/41.03 | ALPHA: (702) implies: % 259.32/41.03 | (703) class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex) = % 259.32/41.03 | all_2266_1 % 259.32/41.03 | % 259.32/41.03 | DELTA: instantiating (673) with fresh symbols all_2268_0, all_2268_1 gives: % 259.32/41.03 | (704) class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex) = % 259.32/41.03 | all_2268_1 & c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, % 259.32/41.03 | all_1199_0, all_1448_0) = all_2268_0 & ( ~ (all_2268_1 = 0) | % 259.32/41.03 | all_2268_0 = 0) % 259.32/41.03 | % 259.32/41.03 | ALPHA: (704) implies: % 259.32/41.03 | (705) class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex) = % 259.32/41.03 | all_2268_1 % 259.32/41.03 | % 259.32/41.03 | DELTA: instantiating (670) with fresh symbols all_2270_0, all_2270_1 gives: % 259.32/41.03 | (706) c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1448_0, % 259.32/41.03 | all_1217_0) = all_2270_0 & % 259.32/41.03 | class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex) = % 259.32/41.03 | all_2270_1 & ( ~ (all_2270_0 = 0) | ~ (all_2270_1 = 0)) % 259.32/41.03 | % 259.32/41.03 | ALPHA: (706) implies: % 259.32/41.03 | (707) class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex) = % 259.32/41.03 | all_2270_1 % 259.32/41.03 | % 259.32/41.03 | DELTA: instantiating (688) with fresh symbols all_2272_0, all_2272_1 gives: % 259.32/41.03 | (708) c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1729_0, % 259.32/41.03 | all_1217_0) = all_2272_0 & % 259.32/41.03 | class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex) = % 259.32/41.03 | all_2272_1 & ( ~ (all_2272_0 = 0) | ~ (all_2272_1 = 0)) % 259.32/41.03 | % 259.32/41.03 | ALPHA: (708) implies: % 259.32/41.03 | (709) class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex) = % 259.32/41.03 | all_2272_1 % 259.32/41.03 | % 259.32/41.03 | DELTA: instantiating (649) with fresh symbols all_2274_0, all_2274_1 gives: % 259.32/41.03 | (710) class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex) = % 259.32/41.03 | all_2274_1 & c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, % 259.32/41.03 | all_1199_0, all_972_0) = all_2274_0 & ( ~ (all_2274_1 = 0) | % 259.32/41.03 | all_2274_0 = 0) % 259.32/41.03 | % 259.32/41.03 | ALPHA: (710) implies: % 259.32/41.03 | (711) class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex) = % 259.32/41.03 | all_2274_1 % 259.32/41.03 | % 259.32/41.03 | DELTA: instantiating (667) with fresh symbols all_2276_0, all_2276_1 gives: % 259.32/41.03 | (712) class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex) = % 259.32/41.03 | all_2276_1 & c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, % 259.32/41.03 | all_1199_0, all_1437_3) = all_2276_0 & ( ~ (all_2276_1 = 0) | % 259.32/41.03 | all_2276_0 = 0) % 259.32/41.03 | % 259.32/41.03 | ALPHA: (712) implies: % 259.32/41.03 | (713) class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex) = % 259.32/41.03 | all_2276_1 % 259.32/41.03 | % 259.32/41.03 | DELTA: instantiating (661) with fresh symbols all_2278_0, all_2278_1 gives: % 259.32/41.03 | (714) class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex) = % 259.32/41.03 | all_2278_1 & c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, % 259.32/41.03 | all_1199_0, all_1408_1) = all_2278_0 & ( ~ (all_2278_1 = 0) | % 259.32/41.03 | all_2278_0 = 0) % 259.32/41.03 | % 259.32/41.03 | ALPHA: (714) implies: % 259.32/41.03 | (715) class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex) = % 259.32/41.03 | all_2278_1 % 259.32/41.03 | % 259.32/41.03 | DELTA: instantiating (664) with fresh symbols all_2282_0, all_2282_1 gives: % 259.32/41.03 | (716) c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1437_3, % 259.32/41.03 | all_1217_0) = all_2282_0 & % 259.32/41.03 | class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex) = % 259.32/41.03 | all_2282_1 & ( ~ (all_2282_0 = 0) | ~ (all_2282_1 = 0)) % 259.32/41.03 | % 259.32/41.03 | ALPHA: (716) implies: % 259.32/41.03 | (717) class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex) = % 259.32/41.03 | all_2282_1 % 259.32/41.03 | % 259.32/41.03 | DELTA: instantiating (646) with fresh symbols all_2284_0, all_2284_1 gives: % 259.32/41.03 | (718) c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_972_0, % 259.32/41.03 | all_1217_0) = all_2284_0 & % 259.32/41.03 | class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex) = % 259.32/41.03 | all_2284_1 & ( ~ (all_2284_0 = 0) | ~ (all_2284_1 = 0)) % 259.32/41.03 | % 259.32/41.03 | ALPHA: (718) implies: % 259.32/41.03 | (719) class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex) = % 259.32/41.03 | all_2284_1 % 259.32/41.03 | % 259.32/41.03 | DELTA: instantiating (658) with fresh symbols all_2318_0, all_2318_1 gives: % 259.32/41.03 | (720) c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1408_1, % 259.32/41.03 | all_1217_0) = all_2318_0 & % 259.32/41.03 | class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex) = % 259.32/41.03 | all_2318_1 & ( ~ (all_2318_0 = 0) | ~ (all_2318_1 = 0)) % 259.32/41.03 | % 259.32/41.03 | ALPHA: (720) implies: % 259.32/41.03 | (721) class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex) = % 259.32/41.03 | all_2318_1 % 259.32/41.03 | % 259.32/41.03 | DELTA: instantiating (655) with fresh symbols all_2320_0, all_2320_1 gives: % 259.32/41.03 | (722) class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex) = % 259.32/41.03 | all_2320_1 & c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, % 259.32/41.03 | all_1199_0, all_1408_4) = all_2320_0 & ( ~ (all_2320_1 = 0) | % 259.32/41.03 | all_2320_0 = 0) % 259.32/41.03 | % 259.32/41.03 | ALPHA: (722) implies: % 259.32/41.03 | (723) class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex) = % 259.32/41.03 | all_2320_1 % 259.32/41.03 | % 259.32/41.03 | DELTA: instantiating (652) with fresh symbols all_2336_0, all_2336_1 gives: % 259.32/41.03 | (724) c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1408_4, % 259.32/41.03 | all_1217_0) = all_2336_0 & % 259.32/41.03 | class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex) = % 259.32/41.03 | all_2336_1 & ( ~ (all_2336_0 = 0) | ~ (all_2336_1 = 0)) % 259.32/41.03 | % 259.32/41.03 | ALPHA: (724) implies: % 259.32/41.03 | (725) class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex) = % 259.32/41.03 | all_2336_1 % 259.32/41.03 | % 259.32/41.03 | DELTA: instantiating (654) with fresh symbols all_2374_0, all_2374_1 gives: % 259.32/41.03 | (726) c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, all_1408_4) = all_2374_0 % 259.32/41.03 | & class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex) = % 259.32/41.03 | all_2374_1 & $i(all_2374_0) & ( ~ (all_2374_1 = 0) | all_2374_0 = % 259.32/41.03 | all_1408_4) % 259.32/41.03 | % 259.32/41.03 | ALPHA: (726) implies: % 259.32/41.03 | (727) class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex) = % 259.32/41.03 | all_2374_1 % 259.32/41.03 | % 259.32/41.03 | DELTA: instantiating (666) with fresh symbols all_2394_0, all_2394_1 gives: % 259.32/41.03 | (728) c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, all_1437_3) = all_2394_0 % 259.32/41.03 | & class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex) = % 259.32/41.03 | all_2394_1 & $i(all_2394_0) & ( ~ (all_2394_1 = 0) | all_2394_0 = % 259.32/41.03 | all_1437_3) % 259.32/41.03 | % 259.32/41.03 | ALPHA: (728) implies: % 259.32/41.03 | (729) class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex) = % 259.32/41.03 | all_2394_1 % 259.32/41.03 | % 259.32/41.03 | DELTA: instantiating (690) with fresh symbols all_2402_0, all_2402_1 gives: % 259.32/41.03 | (730) c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, all_1729_0) = all_2402_0 % 259.32/41.03 | & class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex) = % 259.32/41.03 | all_2402_1 & $i(all_2402_0) & ( ~ (all_2402_1 = 0) | all_2402_0 = % 259.32/41.03 | all_1729_0) % 259.32/41.03 | % 259.32/41.03 | ALPHA: (730) implies: % 259.32/41.03 | (731) class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex) = % 259.32/41.03 | all_2402_1 % 259.32/41.03 | % 259.32/41.03 | DELTA: instantiating (684) with fresh symbols all_2408_0, all_2408_1 gives: % 259.32/41.03 | (732) c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, all_1729_2) = all_2408_0 % 259.32/41.03 | & class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex) = % 259.32/41.03 | all_2408_1 & $i(all_2408_0) & ( ~ (all_2408_1 = 0) | all_2408_0 = % 259.32/41.03 | all_1729_2) % 259.32/41.03 | % 259.32/41.03 | ALPHA: (732) implies: % 259.32/41.03 | (733) class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex) = % 259.32/41.03 | all_2408_1 % 259.32/41.03 | % 259.32/41.03 | DELTA: instantiating (660) with fresh symbols all_2416_0, all_2416_1 gives: % 259.32/41.03 | (734) c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, all_1408_1) = all_2416_0 % 259.32/41.03 | & class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex) = % 259.32/41.03 | all_2416_1 & $i(all_2416_0) & ( ~ (all_2416_1 = 0) | all_2416_0 = % 259.32/41.03 | all_1408_1) % 259.32/41.03 | % 259.32/41.03 | ALPHA: (734) implies: % 259.32/41.03 | (735) class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex) = % 259.32/41.03 | all_2416_1 % 259.32/41.03 | % 259.32/41.03 | DELTA: instantiating (648) with fresh symbols all_2422_0, all_2422_1 gives: % 259.32/41.03 | (736) c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, all_972_0) = all_2422_0 & % 259.32/41.03 | class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex) = % 259.32/41.03 | all_2422_1 & $i(all_2422_0) & ( ~ (all_2422_1 = 0) | all_2422_0 = % 259.32/41.03 | all_972_0) % 259.32/41.03 | % 259.32/41.03 | ALPHA: (736) implies: % 259.32/41.03 | (737) class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex) = % 259.32/41.03 | all_2422_1 % 259.32/41.03 | % 259.32/41.03 | DELTA: instantiating (672) with fresh symbols all_2460_0, all_2460_1 gives: % 259.32/41.03 | (738) c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, all_1448_0) = all_2460_0 % 259.32/41.03 | & class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex) = % 259.32/41.03 | all_2460_1 & $i(all_2460_0) & ( ~ (all_2460_1 = 0) | all_2460_0 = % 259.32/41.03 | all_1448_0) % 259.32/41.03 | % 259.32/41.03 | ALPHA: (738) implies: % 259.32/41.03 | (739) class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex) = % 259.32/41.03 | all_2460_1 % 259.32/41.03 | % 259.32/41.03 | DELTA: instantiating (678) with fresh symbols all_2494_0, all_2494_1 gives: % 259.32/41.03 | (740) c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, all_1669_1) = all_2494_0 % 259.32/41.03 | & class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex) = % 259.32/41.03 | all_2494_1 & $i(all_2494_0) & ( ~ (all_2494_1 = 0) | all_2494_0 = % 259.32/41.03 | all_1669_1) % 259.32/41.03 | % 259.32/41.03 | ALPHA: (740) implies: % 259.32/41.03 | (741) class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex) = % 259.32/41.03 | all_2494_1 % 259.32/41.03 | % 259.32/41.03 | DELTA: instantiating (692) with fresh symbols all_2604_0, all_2604_1, % 259.32/41.03 | all_2604_2 gives: % 259.32/41.03 | (742) c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex, all_1437_4, % 259.32/41.03 | all_1448_1) = all_2604_1 & % 259.32/41.03 | class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex) = % 259.32/41.03 | all_2604_2 & c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, % 259.32/41.03 | all_2604_1) = all_2604_0 & $i(all_2604_0) & $i(all_2604_1) & ( ~ % 259.32/41.03 | (all_2604_2 = 0) | all_2604_0 = all_1669_1) % 259.32/41.03 | % 259.32/41.03 | ALPHA: (742) implies: % 259.32/41.03 | (743) class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex) = % 259.32/41.03 | all_2604_2 % 259.32/41.03 | % 259.32/41.03 | DELTA: instantiating (689) with fresh symbols all_2630_0, all_2630_1 gives: % 259.32/41.03 | (744) c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = all_2630_0 & % 259.32/41.03 | class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex) = % 259.32/41.03 | all_2630_1 & $i(all_2630_0) & ( ~ (all_2630_1 = 0) | (( ~ (all_2630_0 % 259.32/41.03 | = all_1729_1) | all_1729_0 = all_1358_0) & ( ~ (all_1729_0 = % 259.32/41.03 | all_1358_0) | all_2630_0 = all_1729_1))) % 259.32/41.03 | % 259.32/41.03 | ALPHA: (744) implies: % 259.32/41.03 | (745) class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex) = % 259.32/41.03 | all_2630_1 % 259.32/41.03 | % 259.32/41.03 | DELTA: instantiating (659) with fresh symbols all_2638_0, all_2638_1 gives: % 259.32/41.03 | (746) c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = all_2638_0 & % 259.32/41.03 | class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex) = % 259.32/41.03 | all_2638_1 & $i(all_2638_0) & ( ~ (all_2638_1 = 0) | (( ~ (all_2638_0 % 259.32/41.03 | = all_1408_2) | all_1408_1 = all_1358_0) & ( ~ (all_1408_1 = % 259.32/41.03 | all_1358_0) | all_2638_0 = all_1408_2))) % 259.32/41.03 | % 259.32/41.03 | ALPHA: (746) implies: % 259.32/41.03 | (747) class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex) = % 259.32/41.03 | all_2638_1 % 259.32/41.03 | % 259.32/41.03 | DELTA: instantiating (653) with fresh symbols all_2640_0, all_2640_1 gives: % 259.32/41.03 | (748) c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = all_2640_0 & % 259.32/41.03 | class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex) = % 259.32/41.03 | all_2640_1 & $i(all_2640_0) & ( ~ (all_2640_1 = 0) | (( ~ (all_2640_0 % 259.32/41.03 | = all_978_0) | all_1408_4 = all_1358_0) & ( ~ (all_1408_4 = % 259.32/41.03 | all_1358_0) | all_2640_0 = all_978_0))) % 259.32/41.03 | % 259.32/41.03 | ALPHA: (748) implies: % 259.32/41.03 | (749) class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex) = % 259.32/41.03 | all_2640_1 % 259.32/41.03 | % 259.32/41.03 | DELTA: instantiating (665) with fresh symbols all_2686_0, all_2686_1 gives: % 259.32/41.03 | (750) c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = all_2686_0 & % 259.32/41.03 | class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex) = % 259.32/41.03 | all_2686_1 & $i(all_2686_0) & ( ~ (all_2686_1 = 0) | (( ~ (all_2686_0 % 259.32/41.03 | = all_1437_4) | all_1437_3 = all_1358_0) & ( ~ (all_1437_3 = % 259.32/41.04 | all_1358_0) | all_2686_0 = all_1437_4))) % 259.32/41.04 | % 259.32/41.04 | ALPHA: (750) implies: % 259.32/41.04 | (751) class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex) = % 259.32/41.04 | all_2686_1 % 259.32/41.04 | % 259.32/41.04 | DELTA: instantiating (647) with fresh symbols all_2704_0, all_2704_1 gives: % 259.32/41.04 | (752) c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = all_2704_0 & % 259.32/41.04 | class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex) = % 259.32/41.04 | all_2704_1 & $i(all_2704_0) & ( ~ (all_2704_1 = 0) | (( ~ (all_2704_0 % 259.32/41.04 | = v_w____) | all_1358_0 = all_972_0) & ( ~ (all_1358_0 = % 259.32/41.04 | all_972_0) | all_2704_0 = v_w____))) % 259.32/41.04 | % 259.32/41.04 | ALPHA: (752) implies: % 259.32/41.04 | (753) class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex) = % 259.32/41.04 | all_2704_1 % 259.32/41.04 | % 259.32/41.04 | DELTA: instantiating (671) with fresh symbols all_2740_0, all_2740_1 gives: % 259.32/41.04 | (754) c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = all_2740_0 & % 259.32/41.04 | class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex) = % 259.32/41.04 | all_2740_1 & $i(all_2740_0) & ( ~ (all_2740_1 = 0) | (( ~ (all_2740_0 % 259.32/41.04 | = all_1448_1) | all_1448_0 = all_1358_0) & ( ~ (all_1448_0 = % 259.32/41.04 | all_1358_0) | all_2740_0 = all_1448_1))) % 259.32/41.04 | % 259.32/41.04 | ALPHA: (754) implies: % 259.32/41.04 | (755) class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex) = % 259.32/41.04 | all_2740_1 % 259.32/41.04 | % 259.32/41.04 | DELTA: instantiating (683) with fresh symbols all_2742_0, all_2742_1 gives: % 259.32/41.04 | (756) c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = all_2742_0 & % 259.32/41.04 | class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex) = % 259.32/41.04 | all_2742_1 & $i(all_2742_0) & ( ~ (all_2742_1 = 0) | (( ~ (all_2742_0 % 259.32/41.04 | = all_1729_3) | all_1729_2 = all_1358_0) & ( ~ (all_1729_2 = % 259.32/41.04 | all_1358_0) | all_2742_0 = all_1729_3))) % 259.32/41.04 | % 259.32/41.04 | ALPHA: (756) implies: % 259.32/41.04 | (757) class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex) = % 259.32/41.04 | all_2742_1 % 259.32/41.04 | % 259.32/41.04 | DELTA: instantiating (677) with fresh symbols all_2744_0, all_2744_1 gives: % 259.32/41.04 | (758) c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = all_2744_0 & % 259.32/41.04 | class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex) = % 259.32/41.04 | all_2744_1 & $i(all_2744_0) & ( ~ (all_2744_1 = 0) | (( ~ (all_2744_0 % 259.32/41.04 | = all_1669_2) | all_1669_1 = all_1358_0) & ( ~ (all_1669_1 = % 259.32/41.04 | all_1358_0) | all_2744_0 = all_1669_2))) % 259.32/41.04 | % 259.32/41.04 | ALPHA: (758) implies: % 259.32/41.04 | (759) class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex) = % 259.32/41.04 | all_2744_1 % 259.32/41.04 | % 259.32/41.04 | DELTA: instantiating (663) with fresh symbols all_2746_0, all_2746_1, % 259.32/41.04 | all_2746_2 gives: % 259.32/41.04 | (760) c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = all_2746_0 & % 259.32/41.04 | class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex) = % 259.32/41.04 | all_2746_2 & c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, % 259.32/41.04 | all_1437_3, all_1396_0) = all_2746_1 & $i(all_2746_0) & ( ~ % 259.32/41.04 | (all_2746_2 = 0) | (( ~ (all_2746_0 = all_1437_4) | all_2746_1 = 0) % 259.32/41.04 | & ( ~ (all_2746_1 = 0) | all_2746_0 = all_1437_4))) % 259.32/41.04 | % 259.32/41.04 | ALPHA: (760) implies: % 259.32/41.04 | (761) class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex) = % 259.32/41.04 | all_2746_2 % 259.32/41.04 | % 259.32/41.04 | DELTA: instantiating (662) with fresh symbols all_2748_0, all_2748_1, % 259.32/41.04 | all_2748_2 gives: % 259.32/41.04 | (762) c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1416_0, % 259.32/41.04 | all_1437_3) = all_2748_1 & % 259.32/41.04 | c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = all_2748_0 & % 259.32/41.04 | class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex) = % 259.32/41.04 | all_2748_2 & $i(all_2748_0) & ( ~ (all_2748_2 = 0) | (( ~ (all_2748_0 % 259.32/41.04 | = all_1437_4) | ~ (all_2748_1 = 0)) & (all_2748_0 = % 259.32/41.04 | all_1437_4 | all_2748_1 = 0))) % 259.32/41.04 | % 259.32/41.04 | ALPHA: (762) implies: % 259.32/41.04 | (763) class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex) = % 259.32/41.04 | all_2748_2 % 259.32/41.04 | % 259.32/41.04 | DELTA: instantiating (687) with fresh symbols all_2752_0, all_2752_1, % 259.32/41.04 | all_2752_2 gives: % 259.32/41.04 | (764) c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = all_2752_0 & % 259.32/41.04 | class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex) = % 259.32/41.04 | all_2752_2 & c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, % 259.32/41.04 | all_1729_0, all_1396_0) = all_2752_1 & $i(all_2752_0) & ( ~ % 259.32/41.04 | (all_2752_2 = 0) | (( ~ (all_2752_0 = all_1729_1) | all_2752_1 = 0) % 259.32/41.04 | & ( ~ (all_2752_1 = 0) | all_2752_0 = all_1729_1))) % 259.32/41.04 | % 259.32/41.04 | ALPHA: (764) implies: % 259.32/41.04 | (765) class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex) = % 259.32/41.04 | all_2752_2 % 259.32/41.04 | % 259.32/41.04 | DELTA: instantiating (651) with fresh symbols all_2756_0, all_2756_1, % 259.32/41.04 | all_2756_2 gives: % 259.32/41.04 | (766) c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = all_2756_0 & % 259.32/41.04 | class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex) = % 259.32/41.04 | all_2756_2 & c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, % 259.32/41.04 | all_1408_4, all_1396_0) = all_2756_1 & $i(all_2756_0) & ( ~ % 259.32/41.04 | (all_2756_2 = 0) | (( ~ (all_2756_0 = all_978_0) | all_2756_1 = 0) % 259.32/41.04 | & ( ~ (all_2756_1 = 0) | all_2756_0 = all_978_0))) % 259.32/41.04 | % 259.32/41.04 | ALPHA: (766) implies: % 259.32/41.04 | (767) class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex) = % 259.32/41.04 | all_2756_2 % 259.32/41.04 | % 259.32/41.04 | DELTA: instantiating (686) with fresh symbols all_2762_0, all_2762_1, % 259.32/41.04 | all_2762_2 gives: % 259.32/41.04 | (768) c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1416_0, % 259.32/41.04 | all_1729_0) = all_2762_1 & % 259.32/41.04 | c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = all_2762_0 & % 259.32/41.04 | class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex) = % 259.32/41.04 | all_2762_2 & $i(all_2762_0) & ( ~ (all_2762_2 = 0) | (( ~ (all_2762_0 % 259.32/41.04 | = all_1729_1) | ~ (all_2762_1 = 0)) & (all_2762_0 = % 259.32/41.04 | all_1729_1 | all_2762_1 = 0))) % 259.32/41.04 | % 259.32/41.04 | ALPHA: (768) implies: % 259.32/41.04 | (769) class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex) = % 259.32/41.04 | all_2762_2 % 259.32/41.04 | % 259.32/41.04 | DELTA: instantiating (645) with fresh symbols all_2770_0, all_2770_1, % 259.32/41.04 | all_2770_2 gives: % 259.32/41.04 | (770) c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = all_2770_0 & % 259.32/41.04 | class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex) = % 259.32/41.04 | all_2770_2 & c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, % 259.32/41.04 | all_972_0, all_1396_0) = all_2770_1 & $i(all_2770_0) & ( ~ % 259.32/41.04 | (all_2770_2 = 0) | (( ~ (all_2770_0 = v_w____) | all_2770_1 = 0) & % 259.32/41.04 | ( ~ (all_2770_1 = 0) | all_2770_0 = v_w____))) % 259.32/41.04 | % 259.32/41.04 | ALPHA: (770) implies: % 259.32/41.04 | (771) class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex) = % 259.32/41.04 | all_2770_2 % 259.32/41.04 | % 259.32/41.04 | DELTA: instantiating (644) with fresh symbols all_2772_0, all_2772_1, % 259.32/41.04 | all_2772_2 gives: % 259.32/41.04 | (772) c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1416_0, % 259.32/41.04 | all_972_0) = all_2772_1 & % 259.32/41.04 | c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = all_2772_0 & % 259.32/41.04 | class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex) = % 259.32/41.04 | all_2772_2 & $i(all_2772_0) & ( ~ (all_2772_2 = 0) | (( ~ (all_2772_0 % 259.32/41.04 | = v_w____) | ~ (all_2772_1 = 0)) & (all_2772_0 = v_w____ | % 259.32/41.04 | all_2772_1 = 0))) % 259.32/41.04 | % 259.32/41.04 | ALPHA: (772) implies: % 259.32/41.04 | (773) class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex) = % 259.32/41.04 | all_2772_2 % 259.32/41.04 | % 259.32/41.04 | DELTA: instantiating (681) with fresh symbols all_2774_0, all_2774_1, % 259.32/41.04 | all_2774_2 gives: % 259.32/41.04 | (774) c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = all_2774_0 & % 259.32/41.04 | class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex) = % 259.32/41.04 | all_2774_2 & c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, % 259.32/41.04 | all_1729_2, all_1396_0) = all_2774_1 & $i(all_2774_0) & ( ~ % 259.32/41.04 | (all_2774_2 = 0) | (( ~ (all_2774_0 = all_1729_3) | all_2774_1 = 0) % 259.32/41.04 | & ( ~ (all_2774_1 = 0) | all_2774_0 = all_1729_3))) % 259.32/41.04 | % 259.32/41.04 | ALPHA: (774) implies: % 259.32/41.04 | (775) class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex) = % 259.32/41.04 | all_2774_2 % 259.32/41.04 | % 259.32/41.04 | DELTA: instantiating (680) with fresh symbols all_2776_0, all_2776_1, % 259.32/41.04 | all_2776_2 gives: % 259.32/41.04 | (776) c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1416_0, % 259.32/41.04 | all_1729_2) = all_2776_1 & % 259.32/41.04 | c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = all_2776_0 & % 259.32/41.04 | class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex) = % 259.32/41.04 | all_2776_2 & $i(all_2776_0) & ( ~ (all_2776_2 = 0) | (( ~ (all_2776_0 % 259.32/41.04 | = all_1729_3) | ~ (all_2776_1 = 0)) & (all_2776_0 = % 259.32/41.04 | all_1729_3 | all_2776_1 = 0))) % 259.32/41.04 | % 259.32/41.04 | ALPHA: (776) implies: % 259.32/41.04 | (777) class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex) = % 259.32/41.04 | all_2776_2 % 259.32/41.04 | % 259.32/41.04 | DELTA: instantiating (657) with fresh symbols all_2778_0, all_2778_1, % 259.32/41.04 | all_2778_2 gives: % 259.32/41.04 | (778) c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = all_2778_0 & % 259.32/41.04 | class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex) = % 259.32/41.04 | all_2778_2 & c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, % 259.32/41.04 | all_1408_1, all_1396_0) = all_2778_1 & $i(all_2778_0) & ( ~ % 259.32/41.04 | (all_2778_2 = 0) | (( ~ (all_2778_0 = all_1408_2) | all_2778_1 = 0) % 259.32/41.04 | & ( ~ (all_2778_1 = 0) | all_2778_0 = all_1408_2))) % 259.32/41.04 | % 259.32/41.04 | ALPHA: (778) implies: % 259.32/41.04 | (779) class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex) = % 259.32/41.04 | all_2778_2 % 259.32/41.04 | % 259.32/41.04 | DELTA: instantiating (675) with fresh symbols all_2780_0, all_2780_1, % 259.32/41.04 | all_2780_2 gives: % 259.32/41.04 | (780) c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = all_2780_0 & % 259.32/41.04 | class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex) = % 259.32/41.04 | all_2780_2 & c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, % 259.32/41.04 | all_1669_1, all_1396_0) = all_2780_1 & $i(all_2780_0) & ( ~ % 259.32/41.04 | (all_2780_2 = 0) | (( ~ (all_2780_0 = all_1669_2) | all_2780_1 = 0) % 259.32/41.04 | & ( ~ (all_2780_1 = 0) | all_2780_0 = all_1669_2))) % 259.32/41.04 | % 259.32/41.04 | ALPHA: (780) implies: % 259.32/41.04 | (781) class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex) = % 259.32/41.04 | all_2780_2 % 259.32/41.04 | % 259.32/41.04 | DELTA: instantiating (674) with fresh symbols all_2782_0, all_2782_1, % 259.32/41.04 | all_2782_2 gives: % 259.32/41.04 | (782) c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1416_0, % 259.32/41.04 | all_1669_1) = all_2782_1 & % 259.32/41.04 | c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = all_2782_0 & % 259.32/41.04 | class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex) = % 259.32/41.04 | all_2782_2 & $i(all_2782_0) & ( ~ (all_2782_2 = 0) | (( ~ (all_2782_0 % 259.32/41.04 | = all_1669_2) | ~ (all_2782_1 = 0)) & (all_2782_0 = % 259.32/41.04 | all_1669_2 | all_2782_1 = 0))) % 259.32/41.04 | % 259.32/41.04 | ALPHA: (782) implies: % 259.32/41.04 | (783) class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex) = % 259.32/41.04 | all_2782_2 % 259.32/41.04 | % 259.32/41.04 | DELTA: instantiating (656) with fresh symbols all_2784_0, all_2784_1, % 259.32/41.04 | all_2784_2 gives: % 259.32/41.04 | (784) c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1416_0, % 259.32/41.04 | all_1408_1) = all_2784_1 & % 259.32/41.04 | c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = all_2784_0 & % 259.32/41.04 | class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex) = % 259.32/41.04 | all_2784_2 & $i(all_2784_0) & ( ~ (all_2784_2 = 0) | (( ~ (all_2784_0 % 259.32/41.04 | = all_1408_2) | ~ (all_2784_1 = 0)) & (all_2784_0 = % 259.32/41.04 | all_1408_2 | all_2784_1 = 0))) % 259.32/41.04 | % 259.32/41.04 | ALPHA: (784) implies: % 259.32/41.04 | (785) class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex) = % 259.32/41.04 | all_2784_2 % 259.32/41.04 | % 259.32/41.04 | DELTA: instantiating (669) with fresh symbols all_2792_0, all_2792_1, % 259.32/41.04 | all_2792_2 gives: % 259.32/41.04 | (786) c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = all_2792_0 & % 259.32/41.04 | class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex) = % 259.32/41.04 | all_2792_2 & c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, % 259.32/41.04 | all_1448_0, all_1396_0) = all_2792_1 & $i(all_2792_0) & ( ~ % 259.32/41.04 | (all_2792_2 = 0) | (( ~ (all_2792_0 = all_1448_1) | all_2792_1 = 0) % 259.32/41.04 | & ( ~ (all_2792_1 = 0) | all_2792_0 = all_1448_1))) % 259.32/41.04 | % 259.32/41.04 | ALPHA: (786) implies: % 259.32/41.04 | (787) class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex) = % 259.32/41.04 | all_2792_2 % 259.32/41.04 | % 259.32/41.04 | DELTA: instantiating (668) with fresh symbols all_2794_0, all_2794_1, % 259.32/41.04 | all_2794_2 gives: % 259.32/41.04 | (788) c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1416_0, % 259.32/41.04 | all_1448_0) = all_2794_1 & % 259.32/41.04 | c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = all_2794_0 & % 259.32/41.04 | class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex) = % 259.32/41.04 | all_2794_2 & $i(all_2794_0) & ( ~ (all_2794_2 = 0) | (( ~ (all_2794_0 % 259.32/41.04 | = all_1448_1) | ~ (all_2794_1 = 0)) & (all_2794_0 = % 259.32/41.04 | all_1448_1 | all_2794_1 = 0))) % 259.32/41.04 | % 259.32/41.04 | ALPHA: (788) implies: % 259.32/41.04 | (789) class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex) = % 259.32/41.04 | all_2794_2 % 259.32/41.04 | % 259.32/41.04 | DELTA: instantiating (650) with fresh symbols all_2796_0, all_2796_1, % 259.32/41.04 | all_2796_2 gives: % 259.32/41.04 | (790) c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1416_0, % 259.32/41.04 | all_1408_4) = all_2796_1 & % 259.32/41.04 | c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = all_2796_0 & % 259.32/41.04 | class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex) = % 259.32/41.04 | all_2796_2 & $i(all_2796_0) & ( ~ (all_2796_2 = 0) | (( ~ (all_2796_0 % 259.32/41.04 | = all_978_0) | ~ (all_2796_1 = 0)) & (all_2796_0 = all_978_0 % 259.32/41.04 | | all_2796_1 = 0))) % 259.32/41.04 | % 259.32/41.04 | ALPHA: (790) implies: % 259.32/41.04 | (791) class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex) = % 259.32/41.04 | all_2796_2 % 259.32/41.04 | % 259.32/41.04 | BETA: splitting (693) gives: % 259.32/41.04 | % 259.32/41.04 | Case 1: % 259.32/41.05 | | % 259.32/41.05 | | (792) all_1669_0 = 0 % 259.32/41.05 | | % 259.32/41.05 | | REDUCE: (153), (792) imply: % 259.32/41.05 | | (793) $false % 259.32/41.05 | | % 259.32/41.05 | | CLOSE: (793) is inconsistent. % 259.32/41.05 | | % 259.32/41.05 | Case 2: % 259.32/41.05 | | % 259.32/41.05 | | (794) ? [v0: int] : ( ~ (v0 = 0) & % 259.32/41.05 | | class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex) = v0) % 259.32/41.05 | | % 259.32/41.05 | | DELTA: instantiating (794) with fresh symbol all_2995_0 gives: % 259.32/41.05 | | (795) ~ (all_2995_0 = 0) & % 259.32/41.05 | | class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex) = % 259.32/41.05 | | all_2995_0 % 259.32/41.05 | | % 259.32/41.05 | | ALPHA: (795) implies: % 259.32/41.05 | | (796) ~ (all_2995_0 = 0) % 259.32/41.05 | | (797) class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex) = % 259.32/41.05 | | all_2995_0 % 259.32/41.05 | | % 259.32/41.05 | | GROUND_INST: instantiating (49) with all_2260_1, all_2262_1, % 259.32/41.05 | | tc_Complex_Ocomplex, simplifying with (697), (699) gives: % 259.32/41.05 | | (798) all_2262_1 = all_2260_1 % 259.32/41.05 | | % 259.32/41.05 | | GROUND_INST: instantiating (49) with all_2262_1, all_2270_1, % 259.32/41.05 | | tc_Complex_Ocomplex, simplifying with (699), (707) gives: % 259.32/41.05 | | (799) all_2270_1 = all_2262_1 % 259.32/41.05 | | % 259.32/41.05 | | GROUND_INST: instantiating (49) with all_2272_1, all_2274_1, % 259.32/41.05 | | tc_Complex_Ocomplex, simplifying with (709), (711) gives: % 259.32/41.05 | | (800) all_2274_1 = all_2272_1 % 259.32/41.05 | | % 259.32/41.05 | | GROUND_INST: instantiating (49) with all_2278_1, all_2282_1, % 259.32/41.05 | | tc_Complex_Ocomplex, simplifying with (715), (717) gives: % 259.32/41.05 | | (801) all_2282_1 = all_2278_1 % 259.32/41.05 | | % 259.32/41.05 | | GROUND_INST: instantiating (49) with all_2270_1, all_2336_1, % 259.32/41.05 | | tc_Complex_Ocomplex, simplifying with (707), (725) gives: % 259.32/41.05 | | (802) all_2336_1 = all_2270_1 % 259.32/41.05 | | % 259.32/41.05 | | GROUND_INST: instantiating (49) with all_2270_1, all_2394_1, % 259.32/41.05 | | tc_Complex_Ocomplex, simplifying with (707), (729) gives: % 259.32/41.05 | | (803) all_2394_1 = all_2270_1 % 259.32/41.05 | | % 259.32/41.05 | | GROUND_INST: instantiating (49) with all_2374_1, all_2402_1, % 259.32/41.05 | | tc_Complex_Ocomplex, simplifying with (727), (731) gives: % 259.32/41.05 | | (804) all_2402_1 = all_2374_1 % 259.32/41.05 | | % 259.32/41.05 | | GROUND_INST: instantiating (49) with all_2318_1, all_2416_1, % 259.32/41.05 | | tc_Complex_Ocomplex, simplifying with (721), (735) gives: % 259.32/41.05 | | (805) all_2416_1 = all_2318_1 % 259.32/41.05 | | % 259.32/41.05 | | GROUND_INST: instantiating (49) with all_2282_1, all_2416_1, % 259.32/41.05 | | tc_Complex_Ocomplex, simplifying with (717), (735) gives: % 259.32/41.05 | | (806) all_2416_1 = all_2282_1 % 259.32/41.05 | | % 259.32/41.05 | | GROUND_INST: instantiating (49) with all_2402_1, all_2460_1, % 259.32/41.05 | | tc_Complex_Ocomplex, simplifying with (731), (739) gives: % 259.32/41.05 | | (807) all_2460_1 = all_2402_1 % 259.32/41.05 | | % 259.32/41.05 | | GROUND_INST: instantiating (49) with all_2394_1, all_2604_2, % 259.32/41.05 | | tc_Complex_Ocomplex, simplifying with (729), (743) gives: % 259.32/41.05 | | (808) all_2604_2 = all_2394_1 % 259.32/41.05 | | % 259.32/41.05 | | GROUND_INST: instantiating (49) with all_2272_1, all_2604_2, % 259.32/41.05 | | tc_Complex_Ocomplex, simplifying with (709), (743) gives: % 259.32/41.05 | | (809) all_2604_2 = all_2272_1 % 259.32/41.05 | | % 259.32/41.05 | | GROUND_INST: instantiating (49) with all_2268_1, all_2604_2, % 259.32/41.05 | | tc_Complex_Ocomplex, simplifying with (705), (743) gives: % 259.32/41.05 | | (810) all_2604_2 = all_2268_1 % 259.32/41.05 | | % 259.32/41.05 | | GROUND_INST: instantiating (49) with all_2374_1, all_2630_1, % 259.32/41.05 | | tc_Complex_Ocomplex, simplifying with (727), (745) gives: % 259.32/41.05 | | (811) all_2630_1 = all_2374_1 % 259.32/41.05 | | % 259.32/41.05 | | GROUND_INST: instantiating (49) with all_2320_1, all_2630_1, % 259.32/41.05 | | tc_Complex_Ocomplex, simplifying with (723), (745) gives: % 259.32/41.05 | | (812) all_2630_1 = all_2320_1 % 259.32/41.05 | | % 259.32/41.05 | | GROUND_INST: instantiating (49) with all_2318_1, all_2630_1, % 259.32/41.05 | | tc_Complex_Ocomplex, simplifying with (721), (745) gives: % 259.32/41.05 | | (813) all_2630_1 = all_2318_1 % 259.32/41.05 | | % 259.32/41.05 | | GROUND_INST: instantiating (49) with all_2416_1, all_2638_1, % 259.32/41.05 | | tc_Complex_Ocomplex, simplifying with (735), (747) gives: % 259.32/41.05 | | (814) all_2638_1 = all_2416_1 % 259.32/41.05 | | % 259.32/41.05 | | GROUND_INST: instantiating (49) with all_2284_1, all_2638_1, % 259.32/41.05 | | tc_Complex_Ocomplex, simplifying with (719), (747) gives: % 259.32/41.05 | | (815) all_2638_1 = all_2284_1 % 259.32/41.05 | | % 259.32/41.05 | | GROUND_INST: instantiating (49) with all_2460_1, all_2640_1, % 259.32/41.05 | | tc_Complex_Ocomplex, simplifying with (739), (749) gives: % 259.32/41.05 | | (816) all_2640_1 = all_2460_1 % 259.32/41.05 | | % 259.32/41.05 | | GROUND_INST: instantiating (49) with all_2494_1, all_2704_1, % 259.32/41.05 | | tc_Complex_Ocomplex, simplifying with (741), (753) gives: % 259.32/41.05 | | (817) all_2704_1 = all_2494_1 % 259.32/41.05 | | % 259.32/41.05 | | GROUND_INST: instantiating (49) with all_2704_1, all_2740_1, % 259.32/41.05 | | tc_Complex_Ocomplex, simplifying with (753), (755) gives: % 259.32/41.05 | | (818) all_2740_1 = all_2704_1 % 259.32/41.05 | | % 259.32/41.05 | | GROUND_INST: instantiating (49) with all_2740_1, all_2742_1, % 259.32/41.05 | | tc_Complex_Ocomplex, simplifying with (755), (757) gives: % 259.32/41.05 | | (819) all_2742_1 = all_2740_1 % 259.32/41.05 | | % 259.32/41.05 | | GROUND_INST: instantiating (49) with all_2394_1, all_2746_2, % 259.32/41.05 | | tc_Complex_Ocomplex, simplifying with (729), (761) gives: % 259.32/41.05 | | (820) all_2746_2 = all_2394_1 % 259.32/41.05 | | % 259.32/41.05 | | GROUND_INST: instantiating (49) with all_2266_1, all_2746_2, % 259.32/41.05 | | tc_Complex_Ocomplex, simplifying with (703), (761) gives: % 259.32/41.05 | | (821) all_2746_2 = all_2266_1 % 259.32/41.05 | | % 259.32/41.05 | | GROUND_INST: instantiating (49) with all_2744_1, all_2748_2, % 259.32/41.05 | | tc_Complex_Ocomplex, simplifying with (759), (763) gives: % 259.32/41.05 | | (822) all_2748_2 = all_2744_1 % 259.32/41.05 | | % 259.32/41.05 | | GROUND_INST: instantiating (49) with all_2278_1, all_2752_2, % 259.32/41.05 | | tc_Complex_Ocomplex, simplifying with (715), (765) gives: % 259.32/41.05 | | (823) all_2752_2 = all_2278_1 % 259.32/41.05 | | % 259.32/41.05 | | GROUND_INST: instantiating (49) with all_2274_1, all_2752_2, % 259.32/41.05 | | tc_Complex_Ocomplex, simplifying with (711), (765) gives: % 259.32/41.05 | | (824) all_2752_2 = all_2274_1 % 259.32/41.05 | | % 259.32/41.05 | | GROUND_INST: instantiating (49) with all_2752_2, all_2756_2, % 259.32/41.05 | | tc_Complex_Ocomplex, simplifying with (765), (767) gives: % 259.32/41.05 | | (825) all_2756_2 = all_2752_2 % 259.32/41.05 | | % 259.32/41.05 | | GROUND_INST: instantiating (49) with all_2494_1, all_2762_2, % 259.32/41.05 | | tc_Complex_Ocomplex, simplifying with (741), (769) gives: % 259.32/41.05 | | (826) all_2762_2 = all_2494_1 % 259.32/41.05 | | % 259.32/41.05 | | GROUND_INST: instantiating (49) with all_2422_1, all_2762_2, % 259.32/41.05 | | tc_Complex_Ocomplex, simplifying with (737), (769) gives: % 259.32/41.05 | | (827) all_2762_2 = all_2422_1 % 259.32/41.05 | | % 259.32/41.05 | | GROUND_INST: instantiating (49) with all_2416_1, all_2762_2, % 259.32/41.05 | | tc_Complex_Ocomplex, simplifying with (735), (769) gives: % 259.32/41.05 | | (828) all_2762_2 = all_2416_1 % 259.32/41.05 | | % 259.32/41.05 | | GROUND_INST: instantiating (49) with all_2748_2, all_2770_2, % 259.32/41.05 | | tc_Complex_Ocomplex, simplifying with (763), (771) gives: % 259.32/41.05 | | (829) all_2770_2 = all_2748_2 % 259.32/41.05 | | % 259.32/41.05 | | GROUND_INST: instantiating (49) with all_2770_2, all_2772_2, % 259.32/41.05 | | tc_Complex_Ocomplex, simplifying with (771), (773) gives: % 259.32/41.05 | | (830) all_2772_2 = all_2770_2 % 259.32/41.05 | | % 259.32/41.05 | | GROUND_INST: instantiating (49) with all_2742_1, all_2774_2, % 259.32/41.05 | | tc_Complex_Ocomplex, simplifying with (757), (775) gives: % 259.32/41.05 | | (831) all_2774_2 = all_2742_1 % 259.32/41.05 | | % 259.32/41.05 | | GROUND_INST: instantiating (49) with all_2258_1, all_2778_2, % 259.32/41.05 | | tc_Complex_Ocomplex, simplifying with (695), (779) gives: % 259.32/41.05 | | (832) all_2778_2 = all_2258_1 % 259.32/41.05 | | % 259.32/41.05 | | GROUND_INST: instantiating (49) with all_2778_2, all_2780_2, % 259.32/41.05 | | tc_Complex_Ocomplex, simplifying with (779), (781) gives: % 259.32/41.05 | | (833) all_2780_2 = all_2778_2 % 259.32/41.05 | | % 259.32/41.05 | | GROUND_INST: instantiating (49) with all_2776_2, all_2780_2, % 259.32/41.05 | | tc_Complex_Ocomplex, simplifying with (777), (781) gives: % 259.32/41.05 | | (834) all_2780_2 = all_2776_2 % 259.32/41.05 | | % 259.32/41.05 | | GROUND_INST: instantiating (49) with all_2772_2, all_2780_2, % 259.32/41.05 | | tc_Complex_Ocomplex, simplifying with (773), (781) gives: % 259.32/41.05 | | (835) all_2780_2 = all_2772_2 % 259.32/41.05 | | % 259.32/41.05 | | GROUND_INST: instantiating (49) with 0, all_2782_2, tc_Complex_Ocomplex, % 259.32/41.05 | | simplifying with (45), (783) gives: % 259.32/41.05 | | (836) all_2782_2 = 0 % 259.32/41.05 | | % 259.32/41.05 | | GROUND_INST: instantiating (49) with all_2260_1, all_2782_2, % 259.32/41.05 | | tc_Complex_Ocomplex, simplifying with (697), (783) gives: % 259.32/41.05 | | (837) all_2782_2 = all_2260_1 % 259.32/41.05 | | % 259.32/41.05 | | GROUND_INST: instantiating (49) with all_2744_1, all_2784_2, % 259.32/41.05 | | tc_Complex_Ocomplex, simplifying with (759), (785) gives: % 259.32/41.05 | | (838) all_2784_2 = all_2744_1 % 259.32/41.05 | | % 259.32/41.05 | | GROUND_INST: instantiating (49) with all_2686_1, all_2784_2, % 259.32/41.05 | | tc_Complex_Ocomplex, simplifying with (751), (785) gives: % 259.32/41.06 | | (839) all_2784_2 = all_2686_1 % 259.32/41.06 | | % 259.32/41.06 | | GROUND_INST: instantiating (49) with all_2640_1, all_2784_2, % 259.32/41.06 | | tc_Complex_Ocomplex, simplifying with (749), (785) gives: % 259.32/41.06 | | (840) all_2784_2 = all_2640_1 % 259.32/41.06 | | % 259.32/41.06 | | GROUND_INST: instantiating (49) with all_2774_2, all_2792_2, % 259.32/41.06 | | tc_Complex_Ocomplex, simplifying with (775), (787) gives: % 259.32/41.06 | | (841) all_2792_2 = all_2774_2 % 259.32/41.06 | | % 259.32/41.06 | | GROUND_INST: instantiating (49) with all_2408_1, all_2792_2, % 259.32/41.06 | | tc_Complex_Ocomplex, simplifying with (733), (787) gives: % 259.32/41.06 | | (842) all_2792_2 = all_2408_1 % 259.32/41.06 | | % 259.32/41.06 | | GROUND_INST: instantiating (49) with all_2336_1, all_2794_2, % 259.32/41.06 | | tc_Complex_Ocomplex, simplifying with (725), (789) gives: % 259.32/41.06 | | (843) all_2794_2 = all_2336_1 % 259.32/41.06 | | % 259.32/41.06 | | GROUND_INST: instantiating (49) with all_2264_1, all_2794_2, % 259.32/41.06 | | tc_Complex_Ocomplex, simplifying with (701), (789) gives: % 259.32/41.06 | | (844) all_2794_2 = all_2264_1 % 259.32/41.06 | | % 259.32/41.06 | | GROUND_INST: instantiating (49) with all_2756_2, all_2796_2, % 259.32/41.06 | | tc_Complex_Ocomplex, simplifying with (767), (791) gives: % 259.32/41.06 | | (845) all_2796_2 = all_2756_2 % 259.32/41.06 | | % 259.32/41.06 | | GROUND_INST: instantiating (49) with all_2796_2, all_2995_0, % 259.32/41.06 | | tc_Complex_Ocomplex, simplifying with (791), (797) gives: % 259.32/41.06 | | (846) all_2995_0 = all_2796_2 % 259.32/41.06 | | % 259.32/41.06 | | GROUND_INST: instantiating (49) with all_2276_1, all_2995_0, % 259.32/41.06 | | tc_Complex_Ocomplex, simplifying with (713), (797) gives: % 259.32/41.06 | | (847) all_2995_0 = all_2276_1 % 259.32/41.06 | | % 259.32/41.06 | | COMBINE_EQS: (846), (847) imply: % 259.32/41.06 | | (848) all_2796_2 = all_2276_1 % 259.32/41.06 | | % 259.32/41.06 | | SIMP: (848) implies: % 259.32/41.06 | | (849) all_2796_2 = all_2276_1 % 259.32/41.06 | | % 259.32/41.06 | | COMBINE_EQS: (845), (849) imply: % 259.32/41.06 | | (850) all_2756_2 = all_2276_1 % 259.32/41.06 | | % 259.32/41.06 | | SIMP: (850) implies: % 259.32/41.06 | | (851) all_2756_2 = all_2276_1 % 259.32/41.06 | | % 259.32/41.06 | | COMBINE_EQS: (843), (844) imply: % 259.32/41.06 | | (852) all_2336_1 = all_2264_1 % 259.32/41.06 | | % 259.32/41.06 | | SIMP: (852) implies: % 259.32/41.06 | | (853) all_2336_1 = all_2264_1 % 259.32/41.06 | | % 259.32/41.06 | | COMBINE_EQS: (841), (842) imply: % 259.32/41.06 | | (854) all_2774_2 = all_2408_1 % 259.32/41.06 | | % 259.32/41.06 | | SIMP: (854) implies: % 259.32/41.06 | | (855) all_2774_2 = all_2408_1 % 259.32/41.06 | | % 259.32/41.06 | | COMBINE_EQS: (838), (839) imply: % 259.32/41.06 | | (856) all_2744_1 = all_2686_1 % 259.32/41.06 | | % 259.32/41.06 | | SIMP: (856) implies: % 259.32/41.06 | | (857) all_2744_1 = all_2686_1 % 259.32/41.06 | | % 259.32/41.06 | | COMBINE_EQS: (839), (840) imply: % 259.32/41.06 | | (858) all_2686_1 = all_2640_1 % 259.32/41.06 | | % 259.32/41.06 | | COMBINE_EQS: (836), (837) imply: % 259.32/41.06 | | (859) all_2260_1 = 0 % 259.32/41.06 | | % 259.32/41.06 | | SIMP: (859) implies: % 259.32/41.06 | | (860) all_2260_1 = 0 % 259.32/41.06 | | % 259.32/41.06 | | COMBINE_EQS: (833), (834) imply: % 259.32/41.06 | | (861) all_2778_2 = all_2776_2 % 259.32/41.06 | | % 259.32/41.06 | | SIMP: (861) implies: % 259.32/41.06 | | (862) all_2778_2 = all_2776_2 % 259.32/41.06 | | % 259.32/41.06 | | COMBINE_EQS: (834), (835) imply: % 259.32/41.06 | | (863) all_2776_2 = all_2772_2 % 259.32/41.06 | | % 259.32/41.06 | | COMBINE_EQS: (832), (862) imply: % 259.32/41.06 | | (864) all_2776_2 = all_2258_1 % 259.32/41.06 | | % 259.32/41.06 | | SIMP: (864) implies: % 259.32/41.06 | | (865) all_2776_2 = all_2258_1 % 259.32/41.06 | | % 259.32/41.06 | | COMBINE_EQS: (863), (865) imply: % 259.32/41.06 | | (866) all_2772_2 = all_2258_1 % 259.32/41.06 | | % 259.32/41.06 | | SIMP: (866) implies: % 259.32/41.06 | | (867) all_2772_2 = all_2258_1 % 259.32/41.06 | | % 259.32/41.06 | | COMBINE_EQS: (831), (855) imply: % 259.32/41.06 | | (868) all_2742_1 = all_2408_1 % 259.32/41.06 | | % 259.32/41.06 | | SIMP: (868) implies: % 259.32/41.06 | | (869) all_2742_1 = all_2408_1 % 259.32/41.06 | | % 259.32/41.06 | | COMBINE_EQS: (830), (867) imply: % 259.32/41.06 | | (870) all_2770_2 = all_2258_1 % 259.32/41.06 | | % 259.32/41.06 | | SIMP: (870) implies: % 259.32/41.06 | | (871) all_2770_2 = all_2258_1 % 259.32/41.06 | | % 259.32/41.06 | | COMBINE_EQS: (829), (871) imply: % 259.32/41.06 | | (872) all_2748_2 = all_2258_1 % 259.32/41.06 | | % 259.32/41.06 | | SIMP: (872) implies: % 259.32/41.06 | | (873) all_2748_2 = all_2258_1 % 259.32/41.06 | | % 259.32/41.06 | | COMBINE_EQS: (826), (827) imply: % 259.32/41.06 | | (874) all_2494_1 = all_2422_1 % 259.32/41.06 | | % 259.32/41.06 | | SIMP: (874) implies: % 259.32/41.06 | | (875) all_2494_1 = all_2422_1 % 259.32/41.06 | | % 259.32/41.06 | | COMBINE_EQS: (827), (828) imply: % 259.32/41.06 | | (876) all_2422_1 = all_2416_1 % 259.32/41.06 | | % 259.32/41.06 | | COMBINE_EQS: (825), (851) imply: % 259.32/41.06 | | (877) all_2752_2 = all_2276_1 % 259.32/41.06 | | % 259.32/41.06 | | SIMP: (877) implies: % 259.32/41.06 | | (878) all_2752_2 = all_2276_1 % 259.32/41.06 | | % 259.32/41.06 | | COMBINE_EQS: (824), (878) imply: % 259.32/41.06 | | (879) all_2276_1 = all_2274_1 % 259.32/41.06 | | % 259.32/41.06 | | COMBINE_EQS: (823), (878) imply: % 259.32/41.06 | | (880) all_2278_1 = all_2276_1 % 259.32/41.06 | | % 259.32/41.06 | | SIMP: (880) implies: % 259.32/41.06 | | (881) all_2278_1 = all_2276_1 % 259.32/41.06 | | % 259.32/41.06 | | COMBINE_EQS: (822), (873) imply: % 259.32/41.06 | | (882) all_2744_1 = all_2258_1 % 259.32/41.06 | | % 259.32/41.06 | | SIMP: (882) implies: % 259.32/41.06 | | (883) all_2744_1 = all_2258_1 % 259.32/41.06 | | % 259.32/41.06 | | COMBINE_EQS: (820), (821) imply: % 259.32/41.06 | | (884) all_2394_1 = all_2266_1 % 259.32/41.06 | | % 259.32/41.06 | | SIMP: (884) implies: % 259.32/41.06 | | (885) all_2394_1 = all_2266_1 % 259.32/41.06 | | % 259.32/41.06 | | COMBINE_EQS: (857), (883) imply: % 259.32/41.06 | | (886) all_2686_1 = all_2258_1 % 259.32/41.06 | | % 259.32/41.06 | | SIMP: (886) implies: % 259.32/41.06 | | (887) all_2686_1 = all_2258_1 % 259.32/41.06 | | % 259.32/41.06 | | COMBINE_EQS: (819), (869) imply: % 259.32/41.06 | | (888) all_2740_1 = all_2408_1 % 259.32/41.06 | | % 259.32/41.06 | | SIMP: (888) implies: % 259.32/41.06 | | (889) all_2740_1 = all_2408_1 % 259.32/41.06 | | % 259.32/41.06 | | COMBINE_EQS: (818), (889) imply: % 259.32/41.06 | | (890) all_2704_1 = all_2408_1 % 259.32/41.06 | | % 259.32/41.06 | | SIMP: (890) implies: % 259.32/41.06 | | (891) all_2704_1 = all_2408_1 % 259.32/41.06 | | % 259.32/41.06 | | COMBINE_EQS: (817), (891) imply: % 259.32/41.06 | | (892) all_2494_1 = all_2408_1 % 259.32/41.06 | | % 259.32/41.06 | | SIMP: (892) implies: % 259.32/41.06 | | (893) all_2494_1 = all_2408_1 % 259.32/41.06 | | % 259.32/41.06 | | COMBINE_EQS: (858), (887) imply: % 259.32/41.06 | | (894) all_2640_1 = all_2258_1 % 259.32/41.06 | | % 259.32/41.06 | | SIMP: (894) implies: % 259.32/41.06 | | (895) all_2640_1 = all_2258_1 % 259.32/41.06 | | % 259.32/41.06 | | COMBINE_EQS: (816), (895) imply: % 259.32/41.06 | | (896) all_2460_1 = all_2258_1 % 259.32/41.06 | | % 259.32/41.06 | | SIMP: (896) implies: % 259.32/41.06 | | (897) all_2460_1 = all_2258_1 % 259.32/41.06 | | % 259.32/41.06 | | COMBINE_EQS: (814), (815) imply: % 259.32/41.06 | | (898) all_2416_1 = all_2284_1 % 259.32/41.06 | | % 259.32/41.06 | | SIMP: (898) implies: % 259.32/41.06 | | (899) all_2416_1 = all_2284_1 % 259.32/41.06 | | % 259.32/41.06 | | COMBINE_EQS: (812), (813) imply: % 259.32/41.06 | | (900) all_2320_1 = all_2318_1 % 259.32/41.06 | | % 259.32/41.06 | | COMBINE_EQS: (811), (812) imply: % 259.32/41.06 | | (901) all_2374_1 = all_2320_1 % 259.32/41.06 | | % 259.32/41.06 | | SIMP: (901) implies: % 259.32/41.06 | | (902) all_2374_1 = all_2320_1 % 259.32/41.06 | | % 259.32/41.06 | | COMBINE_EQS: (808), (810) imply: % 259.32/41.06 | | (903) all_2394_1 = all_2268_1 % 259.32/41.06 | | % 259.32/41.06 | | SIMP: (903) implies: % 259.32/41.06 | | (904) all_2394_1 = all_2268_1 % 259.32/41.06 | | % 259.32/41.06 | | COMBINE_EQS: (809), (810) imply: % 259.32/41.06 | | (905) all_2272_1 = all_2268_1 % 259.32/41.06 | | % 259.32/41.06 | | SIMP: (905) implies: % 259.32/41.06 | | (906) all_2272_1 = all_2268_1 % 259.32/41.06 | | % 259.32/41.06 | | COMBINE_EQS: (875), (893) imply: % 259.32/41.06 | | (907) all_2422_1 = all_2408_1 % 259.32/41.06 | | % 259.32/41.06 | | SIMP: (907) implies: % 259.32/41.06 | | (908) all_2422_1 = all_2408_1 % 259.32/41.06 | | % 259.32/41.06 | | COMBINE_EQS: (807), (897) imply: % 259.32/41.06 | | (909) all_2402_1 = all_2258_1 % 259.32/41.06 | | % 259.32/41.06 | | SIMP: (909) implies: % 259.32/41.06 | | (910) all_2402_1 = all_2258_1 % 259.32/41.06 | | % 259.32/41.06 | | COMBINE_EQS: (876), (908) imply: % 259.32/41.06 | | (911) all_2416_1 = all_2408_1 % 259.32/41.06 | | % 259.32/41.06 | | SIMP: (911) implies: % 259.32/41.06 | | (912) all_2416_1 = all_2408_1 % 259.32/41.06 | | % 259.32/41.06 | | COMBINE_EQS: (806), (912) imply: % 259.32/41.06 | | (913) all_2408_1 = all_2282_1 % 259.32/41.06 | | % 259.32/41.06 | | COMBINE_EQS: (899), (912) imply: % 259.32/41.06 | | (914) all_2408_1 = all_2284_1 % 259.32/41.06 | | % 259.32/41.06 | | COMBINE_EQS: (805), (912) imply: % 259.32/41.06 | | (915) all_2408_1 = all_2318_1 % 259.32/41.06 | | % 259.32/41.06 | | COMBINE_EQS: (914), (915) imply: % 259.32/41.06 | | (916) all_2318_1 = all_2284_1 % 259.32/41.06 | | % 259.32/41.06 | | SIMP: (916) implies: % 259.32/41.06 | | (917) all_2318_1 = all_2284_1 % 259.32/41.06 | | % 259.32/41.06 | | COMBINE_EQS: (913), (914) imply: % 259.32/41.06 | | (918) all_2284_1 = all_2282_1 % 259.32/41.06 | | % 259.32/41.06 | | COMBINE_EQS: (804), (910) imply: % 259.32/41.06 | | (919) all_2374_1 = all_2258_1 % 259.32/41.06 | | % 259.32/41.06 | | SIMP: (919) implies: % 259.32/41.06 | | (920) all_2374_1 = all_2258_1 % 259.32/41.06 | | % 259.32/41.06 | | COMBINE_EQS: (803), (885) imply: % 259.32/41.06 | | (921) all_2270_1 = all_2266_1 % 259.32/41.06 | | % 259.32/41.06 | | SIMP: (921) implies: % 259.32/41.06 | | (922) all_2270_1 = all_2266_1 % 259.32/41.06 | | % 259.32/41.06 | | COMBINE_EQS: (885), (904) imply: % 259.32/41.06 | | (923) all_2268_1 = all_2266_1 % 259.32/41.06 | | % 259.32/41.06 | | SIMP: (923) implies: % 259.32/41.06 | | (924) all_2268_1 = all_2266_1 % 259.32/41.06 | | % 259.32/41.06 | | COMBINE_EQS: (902), (920) imply: % 259.32/41.06 | | (925) all_2320_1 = all_2258_1 % 259.32/41.06 | | % 259.32/41.06 | | SIMP: (925) implies: % 259.32/41.06 | | (926) all_2320_1 = all_2258_1 % 259.32/41.06 | | % 259.32/41.06 | | COMBINE_EQS: (802), (853) imply: % 259.32/41.06 | | (927) all_2270_1 = all_2264_1 % 259.32/41.06 | | % 259.32/41.06 | | SIMP: (927) implies: % 259.32/41.06 | | (928) all_2270_1 = all_2264_1 % 259.32/41.06 | | % 259.32/41.06 | | COMBINE_EQS: (900), (926) imply: % 259.32/41.06 | | (929) all_2318_1 = all_2258_1 % 259.32/41.06 | | % 259.32/41.06 | | SIMP: (929) implies: % 259.32/41.06 | | (930) all_2318_1 = all_2258_1 % 259.32/41.06 | | % 259.32/41.06 | | COMBINE_EQS: (917), (930) imply: % 259.32/41.06 | | (931) all_2284_1 = all_2258_1 % 259.32/41.06 | | % 259.32/41.06 | | SIMP: (931) implies: % 259.32/41.06 | | (932) all_2284_1 = all_2258_1 % 259.32/41.06 | | % 259.32/41.06 | | COMBINE_EQS: (918), (932) imply: % 259.32/41.06 | | (933) all_2282_1 = all_2258_1 % 259.32/41.06 | | % 259.32/41.06 | | SIMP: (933) implies: % 259.32/41.06 | | (934) all_2282_1 = all_2258_1 % 259.32/41.06 | | % 259.32/41.06 | | COMBINE_EQS: (801), (934) imply: % 259.32/41.06 | | (935) all_2278_1 = all_2258_1 % 259.32/41.06 | | % 259.32/41.06 | | SIMP: (935) implies: % 259.32/41.06 | | (936) all_2278_1 = all_2258_1 % 259.32/41.06 | | % 259.32/41.06 | | COMBINE_EQS: (881), (936) imply: % 259.32/41.06 | | (937) all_2276_1 = all_2258_1 % 259.32/41.06 | | % 259.32/41.06 | | SIMP: (937) implies: % 259.32/41.06 | | (938) all_2276_1 = all_2258_1 % 259.32/41.06 | | % 259.32/41.06 | | COMBINE_EQS: (879), (938) imply: % 259.32/41.06 | | (939) all_2274_1 = all_2258_1 % 259.32/41.06 | | % 259.32/41.06 | | SIMP: (939) implies: % 259.32/41.06 | | (940) all_2274_1 = all_2258_1 % 259.32/41.06 | | % 259.32/41.06 | | COMBINE_EQS: (800), (940) imply: % 259.32/41.06 | | (941) all_2272_1 = all_2258_1 % 259.32/41.06 | | % 259.32/41.06 | | SIMP: (941) implies: % 259.32/41.06 | | (942) all_2272_1 = all_2258_1 % 259.32/41.06 | | % 259.32/41.06 | | COMBINE_EQS: (906), (942) imply: % 259.32/41.06 | | (943) all_2268_1 = all_2258_1 % 259.32/41.06 | | % 259.32/41.06 | | SIMP: (943) implies: % 259.32/41.06 | | (944) all_2268_1 = all_2258_1 % 259.32/41.06 | | % 259.32/41.06 | | COMBINE_EQS: (799), (928) imply: % 259.32/41.06 | | (945) all_2264_1 = all_2262_1 % 259.32/41.06 | | % 259.32/41.06 | | COMBINE_EQS: (922), (928) imply: % 259.32/41.06 | | (946) all_2266_1 = all_2264_1 % 259.32/41.06 | | % 259.32/41.06 | | SIMP: (946) implies: % 259.32/41.06 | | (947) all_2266_1 = all_2264_1 % 259.32/41.06 | | % 259.32/41.06 | | COMBINE_EQS: (924), (944) imply: % 259.32/41.06 | | (948) all_2266_1 = all_2258_1 % 259.32/41.06 | | % 259.32/41.06 | | SIMP: (948) implies: % 259.32/41.06 | | (949) all_2266_1 = all_2258_1 % 259.32/41.06 | | % 259.32/41.06 | | COMBINE_EQS: (947), (949) imply: % 259.32/41.06 | | (950) all_2264_1 = all_2258_1 % 259.32/41.06 | | % 259.32/41.06 | | SIMP: (950) implies: % 259.32/41.06 | | (951) all_2264_1 = all_2258_1 % 259.32/41.06 | | % 259.32/41.06 | | COMBINE_EQS: (945), (951) imply: % 259.32/41.06 | | (952) all_2262_1 = all_2258_1 % 259.32/41.06 | | % 259.32/41.06 | | SIMP: (952) implies: % 259.32/41.06 | | (953) all_2262_1 = all_2258_1 % 259.32/41.06 | | % 259.32/41.06 | | COMBINE_EQS: (798), (953) imply: % 259.32/41.06 | | (954) all_2260_1 = all_2258_1 % 259.32/41.06 | | % 259.32/41.06 | | SIMP: (954) implies: % 259.32/41.06 | | (955) all_2260_1 = all_2258_1 % 259.32/41.06 | | % 259.32/41.06 | | COMBINE_EQS: (860), (955) imply: % 259.32/41.06 | | (956) all_2258_1 = 0 % 259.32/41.06 | | % 259.32/41.06 | | COMBINE_EQS: (938), (956) imply: % 259.32/41.06 | | (957) all_2276_1 = 0 % 259.32/41.06 | | % 259.32/41.06 | | COMBINE_EQS: (847), (957) imply: % 259.32/41.06 | | (958) all_2995_0 = 0 % 259.32/41.06 | | % 259.32/41.06 | | REDUCE: (796), (958) imply: % 259.32/41.06 | | (959) $false % 259.32/41.06 | | % 259.32/41.06 | | CLOSE: (959) is inconsistent. % 259.32/41.06 | | % 259.32/41.07 | End of split % 259.32/41.07 | % 259.32/41.07 End of proof % 259.32/41.07 % SZS output end Proof for theBenchmark % 259.32/41.07 % 259.32/41.07 40461ms %------------------------------------------------------------------------------