fof(arityeq2_2Ec_2Ebool_2E_2F_5C_2E2,axiom,![X0_2E0, X1_2E0]: ((p(s(tyop_2Emin_2Ebool,X0_2E0)) & p(s(tyop_2Emin_2Ebool,X1_2E0))) <=> p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)),c_2Ebool_2E_2F_5C_2E0),s(tyop_2Emin_2Ebool,X0_2E0))),s(tyop_2Emin_2Ebool,X1_2E0)))))).
fof(arityeq2_2Ec_2Ebool_2E_5C_2F_2E2,axiom,![X0_2E0, X1_2E0]: ((p(s(tyop_2Emin_2Ebool,X0_2E0)) | p(s(tyop_2Emin_2Ebool,X1_2E0))) <=> p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)),c_2Ebool_2E_5C_2F_2E0),s(tyop_2Emin_2Ebool,X0_2E0))),s(tyop_2Emin_2Ebool,X1_2E0)))))).
fof(arityeq1_2Ec_2Ebool_2E_7E_2E1,axiom,![X0_2E0]: (~ (p(s(tyop_2Emin_2Ebool,X0_2E0))) <=> p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),c_2Ebool_2E_7E_2E0),s(tyop_2Emin_2Ebool,X0_2E0)))))).
fof(arityeq2_2Ec_2Emin_2E_3D_3D_3E_2E2,axiom,![X0_2E0, X1_2E0]: ((p(s(tyop_2Emin_2Ebool,X0_2E0)) => p(s(tyop_2Emin_2Ebool,X1_2E0))) <=> p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)),c_2Emin_2E_3D_3D_3E_2E0),s(tyop_2Emin_2Ebool,X0_2E0))),s(tyop_2Emin_2Ebool,X1_2E0)))))).
fof(arityeq2_2Ec_2Emin_2E_3D_2E2_2Emono_2EA_27a,axiom,![A_27a]: ![X0_2E0, X1_2E0]: ((s(A_27a,X0_2E0) = s(A_27a,X1_2E0)) <=> p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool)),c_2Emin_2E_3D_2E0),s(A_27a,X0_2E0))),s(A_27a,X1_2E0)))))).
fof(arityeq1_2Ec_2Ebool_2E_21_2E1_2Emono_2EA_27a,axiom,![A_27a]: ![X0_2E0]: (s(tyop_2Emin_2Ebool,c_2Ebool_2E_21_2E1(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),X0_2E0))) = s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),tyop_2Emin_2Ebool),c_2Ebool_2E_21_2E0),s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),X0_2E0))))).
fof(arityeq1_2Ec_2Ebool_2E_3F_2E1_2Emono_2EA_27a,axiom,![A_27a]: ![X0_2E0]: (s(tyop_2Emin_2Ebool,c_2Ebool_2E_3F_2E1(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),X0_2E0))) = s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),tyop_2Emin_2Ebool),c_2Ebool_2E_3F_2E0),s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),X0_2E0))))).
fof(arityeq1_2Ec_2Emin_2E_40_2E1_2Emono_2EA_27a,axiom,![A_27a]: ![X0_2E0]: (s(A_27a,c_2Emin_2E_40_2E1(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),X0_2E0))) = s(A_27a,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),A_27a),c_2Emin_2E_40_2E0),s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),X0_2E0))))).
fof(arityeq1_2Ec_2Earithmetic_2EBIT1_2E1,axiom,![X0_2E0]: (s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT1_2E1(s(tyop_2Enum_2Enum,X0_2E0))) = s(tyop_2Enum_2Enum,app_2E2(s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Enum_2Enum),c_2Earithmetic_2EBIT1_2E0),s(tyop_2Enum_2Enum,X0_2E0))))).
fof(arityeq1_2Ec_2Earithmetic_2ENUMERAL_2E1,axiom,![X0_2E0]: (s(tyop_2Enum_2Enum,c_2Earithmetic_2ENUMERAL_2E1(s(tyop_2Enum_2Enum,X0_2E0))) = s(tyop_2Enum_2Enum,app_2E2(s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Enum_2Enum),c_2Earithmetic_2ENUMERAL_2E0),s(tyop_2Enum_2Enum,X0_2E0))))).
fof(arityeq1_2Ec_2Ering_2Eis__ring_2E1_2Emono_2Etyop_2Erat_2Erat,axiom,![X0_2E0]: (s(tyop_2Emin_2Ebool,c_2Ering_2Eis__ring_2E1(s(tyop_2Ering_2Ering(tyop_2Erat_2Erat),X0_2E0))) = s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Ering_2Ering(tyop_2Erat_2Erat),tyop_2Emin_2Ebool),c_2Ering_2Eis__ring_2E0),s(tyop_2Ering_2Ering(tyop_2Erat_2Erat),X0_2E0))))).
fof(arityeq1_2Ec_2Erat_2Erat__of__num_2E1,axiom,![X0_2E0]: (s(tyop_2Erat_2Erat,c_2Erat_2Erat__of__num_2E1(s(tyop_2Enum_2Enum,X0_2E0))) = s(tyop_2Erat_2Erat,app_2E2(s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Erat_2Erat),c_2Erat_2Erat__of__num_2E0),s(tyop_2Enum_2Enum,X0_2E0))))).
fof(arityeq5_2Ec_2Ering_2Erecordtype_2Ering_2E5_2Emono_2Etyop_2Erat_2Erat,axiom,![X0_2E0, X1_2E0, X2_2E0, X3_2E0, X4_2E0]: (s(tyop_2Ering_2Ering(tyop_2Erat_2Erat),c_2Ering_2Erecordtype_2Ering_2E5(s(tyop_2Erat_2Erat,X0_2E0),s(tyop_2Erat_2Erat,X1_2E0),s(tyop_2Emin_2Efun(tyop_2Erat_2Erat,tyop_2Emin_2Efun(tyop_2Erat_2Erat,tyop_2Erat_2Erat)),X2_2E0),s(tyop_2Emin_2Efun(tyop_2Erat_2Erat,tyop_2Emin_2Efun(tyop_2Erat_2Erat,tyop_2Erat_2Erat)),X3_2E0),s(tyop_2Emin_2Efun(tyop_2Erat_2Erat,tyop_2Erat_2Erat),X4_2E0))) = s(tyop_2Ering_2Ering(tyop_2Erat_2Erat),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Erat_2Erat,tyop_2Erat_2Erat),tyop_2Ering_2Ering(tyop_2Erat_2Erat)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Erat_2Erat,tyop_2Emin_2Efun(tyop_2Erat_2Erat,tyop_2Erat_2Erat)),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Erat_2Erat,tyop_2Erat_2Erat),tyop_2Ering_2Ering(tyop_2Erat_2Erat))),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Erat_2Erat,tyop_2Emin_2Efun(tyop_2Erat_2Erat,tyop_2Erat_2Erat)),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Erat_2Erat,tyop_2Emin_2Efun(tyop_2Erat_2Erat,tyop_2Erat_2Erat)),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Erat_2Erat,tyop_2Erat_2Erat),tyop_2Ering_2Ering(tyop_2Erat_2Erat)))),app_2E2(s(tyop_2Emin_2Efun(tyop_2Erat_2Erat,tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Erat_2Erat,tyop_2Emin_2Efun(tyop_2Erat_2Erat,tyop_2Erat_2Erat)),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Erat_2Erat,tyop_2Emin_2Efun(tyop_2Erat_2Erat,tyop_2Erat_2Erat)),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Erat_2Erat,tyop_2Erat_2Erat),tyop_2Ering_2Ering(tyop_2Erat_2Erat))))),app_2E2(s(tyop_2Emin_2Efun(tyop_2Erat_2Erat,tyop_2Emin_2Efun(tyop_2Erat_2Erat,tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Erat_2Erat,tyop_2Emin_2Efun(tyop_2Erat_2Erat,tyop_2Erat_2Erat)),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Erat_2Erat,tyop_2Emin_2Efun(tyop_2Erat_2Erat,tyop_2Erat_2Erat)),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Erat_2Erat,tyop_2Erat_2Erat),tyop_2Ering_2Ering(tyop_2Erat_2Erat)))))),c_2Ering_2Erecordtype_2Ering_2E0),s(tyop_2Erat_2Erat,X0_2E0))),s(tyop_2Erat_2Erat,X1_2E0))),s(tyop_2Emin_2Efun(tyop_2Erat_2Erat,tyop_2Emin_2Efun(tyop_2Erat_2Erat,tyop_2Erat_2Erat)),X2_2E0))),s(tyop_2Emin_2Efun(tyop_2Erat_2Erat,tyop_2Emin_2Efun(tyop_2Erat_2Erat,tyop_2Erat_2Erat)),X3_2E0))),s(tyop_2Emin_2Efun(tyop_2Erat_2Erat,tyop_2Erat_2Erat),X4_2E0))))).
fof(arityeq1_2Ec_2Erat_2Erat__ainv_2E1,axiom,![X0_2E0]: (s(tyop_2Erat_2Erat,c_2Erat_2Erat__ainv_2E1(s(tyop_2Erat_2Erat,X0_2E0))) = s(tyop_2Erat_2Erat,app_2E2(s(tyop_2Emin_2Efun(tyop_2Erat_2Erat,tyop_2Erat_2Erat),c_2Erat_2Erat__ainv_2E0),s(tyop_2Erat_2Erat,X0_2E0))))).
fof(arityeq2_2Ec_2EratRing_2Erat__interp__p_2E2,axiom,![X0_2E0, X1_2E0]: (s(tyop_2Erat_2Erat,c_2EratRing_2Erat__interp__p_2E2(s(tyop_2Equote_2Evarmap(tyop_2Erat_2Erat),X0_2E0),s(tyop_2EringNorm_2Epolynom(tyop_2Erat_2Erat),X1_2E0))) = s(tyop_2Erat_2Erat,app_2E2(s(tyop_2Emin_2Efun(tyop_2EringNorm_2Epolynom(tyop_2Erat_2Erat),tyop_2Erat_2Erat),app_2E2(s(tyop_2Emin_2Efun(tyop_2Equote_2Evarmap(tyop_2Erat_2Erat),tyop_2Emin_2Efun(tyop_2EringNorm_2Epolynom(tyop_2Erat_2Erat),tyop_2Erat_2Erat)),c_2EratRing_2Erat__interp__p_2E0),s(tyop_2Equote_2Evarmap(tyop_2Erat_2Erat),X0_2E0))),s(tyop_2EringNorm_2Epolynom(tyop_2Erat_2Erat),X1_2E0))))).
fof(arityeq1_2Ec_2EringNorm_2EPconst_2E1_2Emono_2Etyop_2Erat_2Erat,axiom,![X0_2E0]: (s(tyop_2EringNorm_2Epolynom(tyop_2Erat_2Erat),c_2EringNorm_2EPconst_2E1(s(tyop_2Erat_2Erat,X0_2E0))) = s(tyop_2EringNorm_2Epolynom(tyop_2Erat_2Erat),app_2E2(s(tyop_2Emin_2Efun(tyop_2Erat_2Erat,tyop_2EringNorm_2Epolynom(tyop_2Erat_2Erat)),c_2EringNorm_2EPconst_2E0),s(tyop_2Erat_2Erat,X0_2E0))))).
fof(arityeq1_2Ec_2EratRing_2Erat__polynom__normalize_2E1,axiom,![X0_2E0]: (s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Erat_2Erat),c_2EratRing_2Erat__polynom__normalize_2E1(s(tyop_2EringNorm_2Epolynom(tyop_2Erat_2Erat),X0_2E0))) = s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Erat_2Erat),app_2E2(s(tyop_2Emin_2Efun(tyop_2EringNorm_2Epolynom(tyop_2Erat_2Erat),tyop_2Ecanonical_2Ecanonical__sum(tyop_2Erat_2Erat)),c_2EratRing_2Erat__polynom__normalize_2E0),s(tyop_2EringNorm_2Epolynom(tyop_2Erat_2Erat),X0_2E0))))).
fof(arityeq1_2Ec_2EringNorm_2EPopp_2E1_2Emono_2Etyop_2Erat_2Erat,axiom,![X0_2E0]: (s(tyop_2EringNorm_2Epolynom(tyop_2Erat_2Erat),c_2EringNorm_2EPopp_2E1(s(tyop_2EringNorm_2Epolynom(tyop_2Erat_2Erat),X0_2E0))) = s(tyop_2EringNorm_2Epolynom(tyop_2Erat_2Erat),app_2E2(s(tyop_2Emin_2Efun(tyop_2EringNorm_2Epolynom(tyop_2Erat_2Erat),tyop_2EringNorm_2Epolynom(tyop_2Erat_2Erat)),c_2EringNorm_2EPopp_2E0),s(tyop_2EringNorm_2Epolynom(tyop_2Erat_2Erat),X0_2E0))))).
fof(arityeq1_2Ec_2EringNorm_2EPvar_2E1_2Emono_2Etyop_2Erat_2Erat,axiom,![X0_2E0]: (s(tyop_2EringNorm_2Epolynom(tyop_2Erat_2Erat),c_2EringNorm_2EPvar_2E1(s(tyop_2Equote_2Eindex,X0_2E0))) = s(tyop_2EringNorm_2Epolynom(tyop_2Erat_2Erat),app_2E2(s(tyop_2Emin_2Efun(tyop_2Equote_2Eindex,tyop_2EringNorm_2Epolynom(tyop_2Erat_2Erat)),c_2EringNorm_2EPvar_2E0),s(tyop_2Equote_2Eindex,X0_2E0))))).
fof(arityeq2_2Ec_2EringNorm_2EPmult_2E2_2Emono_2Etyop_2Erat_2Erat,axiom,![X0_2E0, X1_2E0]: (s(tyop_2EringNorm_2Epolynom(tyop_2Erat_2Erat),c_2EringNorm_2EPmult_2E2(s(tyop_2EringNorm_2Epolynom(tyop_2Erat_2Erat),X0_2E0),s(tyop_2EringNorm_2Epolynom(tyop_2Erat_2Erat),X1_2E0))) = s(tyop_2EringNorm_2Epolynom(tyop_2Erat_2Erat),app_2E2(s(tyop_2Emin_2Efun(tyop_2EringNorm_2Epolynom(tyop_2Erat_2Erat),tyop_2EringNorm_2Epolynom(tyop_2Erat_2Erat)),app_2E2(s(tyop_2Emin_2Efun(tyop_2EringNorm_2Epolynom(tyop_2Erat_2Erat),tyop_2Emin_2Efun(tyop_2EringNorm_2Epolynom(tyop_2Erat_2Erat),tyop_2EringNorm_2Epolynom(tyop_2Erat_2Erat))),c_2EringNorm_2EPmult_2E0),s(tyop_2EringNorm_2Epolynom(tyop_2Erat_2Erat),X0_2E0))),s(tyop_2EringNorm_2Epolynom(tyop_2Erat_2Erat),X1_2E0))))).
fof(arityeq2_2Ec_2EringNorm_2EPplus_2E2_2Emono_2Etyop_2Erat_2Erat,axiom,![X0_2E0, X1_2E0]: (s(tyop_2EringNorm_2Epolynom(tyop_2Erat_2Erat),c_2EringNorm_2EPplus_2E2(s(tyop_2EringNorm_2Epolynom(tyop_2Erat_2Erat),X0_2E0),s(tyop_2EringNorm_2Epolynom(tyop_2Erat_2Erat),X1_2E0))) = s(tyop_2EringNorm_2Epolynom(tyop_2Erat_2Erat),app_2E2(s(tyop_2Emin_2Efun(tyop_2EringNorm_2Epolynom(tyop_2Erat_2Erat),tyop_2EringNorm_2Epolynom(tyop_2Erat_2Erat)),app_2E2(s(tyop_2Emin_2Efun(tyop_2EringNorm_2Epolynom(tyop_2Erat_2Erat),tyop_2Emin_2Efun(tyop_2EringNorm_2Epolynom(tyop_2Erat_2Erat),tyop_2EringNorm_2Epolynom(tyop_2Erat_2Erat))),c_2EringNorm_2EPplus_2E0),s(tyop_2EringNorm_2Epolynom(tyop_2Erat_2Erat),X0_2E0))),s(tyop_2EringNorm_2Epolynom(tyop_2Erat_2Erat),X1_2E0))))).
fof(arityeq1_2Ec_2EratRing_2Erat__polynom__simplify_2E1,axiom,![X0_2E0]: (s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Erat_2Erat),c_2EratRing_2Erat__polynom__simplify_2E1(s(tyop_2EringNorm_2Epolynom(tyop_2Erat_2Erat),X0_2E0))) = s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Erat_2Erat),app_2E2(s(tyop_2Emin_2Efun(tyop_2EringNorm_2Epolynom(tyop_2Erat_2Erat),tyop_2Ecanonical_2Ecanonical__sum(tyop_2Erat_2Erat)),c_2EratRing_2Erat__polynom__simplify_2E0),s(tyop_2EringNorm_2Epolynom(tyop_2Erat_2Erat),X0_2E0))))).
fof(arityeq1_2Ec_2EratRing_2Erat__r__canonical__sum__simplify_2E1,axiom,![X0_2E0]: (s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Erat_2Erat),c_2EratRing_2Erat__r__canonical__sum__simplify_2E1(s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Erat_2Erat),X0_2E0))) = s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Erat_2Erat),app_2E2(s(tyop_2Emin_2Efun(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Erat_2Erat),tyop_2Ecanonical_2Ecanonical__sum(tyop_2Erat_2Erat)),c_2EratRing_2Erat__r__canonical__sum__simplify_2E0),s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Erat_2Erat),X0_2E0))))).
fof(arityeq2_2Ec_2Ecanonical_2ECons__varlist_2E2_2Emono_2Etyop_2Erat_2Erat,axiom,![X0_2E0, X1_2E0]: (s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Erat_2Erat),c_2Ecanonical_2ECons__varlist_2E2(s(tyop_2Elist_2Elist(tyop_2Equote_2Eindex),X0_2E0),s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Erat_2Erat),X1_2E0))) = s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Erat_2Erat),app_2E2(s(tyop_2Emin_2Efun(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Erat_2Erat),tyop_2Ecanonical_2Ecanonical__sum(tyop_2Erat_2Erat)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Elist_2Elist(tyop_2Equote_2Eindex),tyop_2Emin_2Efun(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Erat_2Erat),tyop_2Ecanonical_2Ecanonical__sum(tyop_2Erat_2Erat))),c_2Ecanonical_2ECons__varlist_2E0),s(tyop_2Elist_2Elist(tyop_2Equote_2Eindex),X0_2E0))),s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Erat_2Erat),X1_2E0))))).
fof(arityeq3_2Ec_2Ecanonical_2ECons__monom_2E3_2Emono_2Etyop_2Erat_2Erat,axiom,![X0_2E0, X1_2E0, X2_2E0]: (s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Erat_2Erat),c_2Ecanonical_2ECons__monom_2E3(s(tyop_2Erat_2Erat,X0_2E0),s(tyop_2Elist_2Elist(tyop_2Equote_2Eindex),X1_2E0),s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Erat_2Erat),X2_2E0))) = s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Erat_2Erat),app_2E2(s(tyop_2Emin_2Efun(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Erat_2Erat),tyop_2Ecanonical_2Ecanonical__sum(tyop_2Erat_2Erat)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Elist_2Elist(tyop_2Equote_2Eindex),tyop_2Emin_2Efun(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Erat_2Erat),tyop_2Ecanonical_2Ecanonical__sum(tyop_2Erat_2Erat))),app_2E2(s(tyop_2Emin_2Efun(tyop_2Erat_2Erat,tyop_2Emin_2Efun(tyop_2Elist_2Elist(tyop_2Equote_2Eindex),tyop_2Emin_2Efun(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Erat_2Erat),tyop_2Ecanonical_2Ecanonical__sum(tyop_2Erat_2Erat)))),c_2Ecanonical_2ECons__monom_2E0),s(tyop_2Erat_2Erat,X0_2E0))),s(tyop_2Elist_2Elist(tyop_2Equote_2Eindex),X1_2E0))),s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Erat_2Erat),X2_2E0))))).
fof(arityeq2_2Ec_2Elist_2ECONS_2E2_2Emono_2Etyop_2Equote_2Eindex,axiom,![X0_2E0, X1_2E0]: (s(tyop_2Elist_2Elist(tyop_2Equote_2Eindex),c_2Elist_2ECONS_2E2(s(tyop_2Equote_2Eindex,X0_2E0),s(tyop_2Elist_2Elist(tyop_2Equote_2Eindex),X1_2E0))) = s(tyop_2Elist_2Elist(tyop_2Equote_2Eindex),app_2E2(s(tyop_2Emin_2Efun(tyop_2Elist_2Elist(tyop_2Equote_2Eindex),tyop_2Elist_2Elist(tyop_2Equote_2Eindex)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Equote_2Eindex,tyop_2Emin_2Efun(tyop_2Elist_2Elist(tyop_2Equote_2Eindex),tyop_2Elist_2Elist(tyop_2Equote_2Eindex))),c_2Elist_2ECONS_2E0),s(tyop_2Equote_2Eindex,X0_2E0))),s(tyop_2Elist_2Elist(tyop_2Equote_2Eindex),X1_2E0))))).
fof(arityeq2_2Ec_2Erat_2Erat__add_2E2,axiom,![X0_2E0, X1_2E0]: (s(tyop_2Erat_2Erat,c_2Erat_2Erat__add_2E2(s(tyop_2Erat_2Erat,X0_2E0),s(tyop_2Erat_2Erat,X1_2E0))) = s(tyop_2Erat_2Erat,app_2E2(s(tyop_2Emin_2Efun(tyop_2Erat_2Erat,tyop_2Erat_2Erat),app_2E2(s(tyop_2Emin_2Efun(tyop_2Erat_2Erat,tyop_2Emin_2Efun(tyop_2Erat_2Erat,tyop_2Erat_2Erat)),c_2Erat_2Erat__add_2E0),s(tyop_2Erat_2Erat,X0_2E0))),s(tyop_2Erat_2Erat,X1_2E0))))).
fof(arityeq3_2Ec_2EratRing_2Erat__r__ics__aux_2E3,axiom,![X0_2E0, X1_2E0, X2_2E0]: (s(tyop_2Erat_2Erat,c_2EratRing_2Erat__r__ics__aux_2E3(s(tyop_2Equote_2Evarmap(tyop_2Erat_2Erat),X0_2E0),s(tyop_2Erat_2Erat,X1_2E0),s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Erat_2Erat),X2_2E0))) = s(tyop_2Erat_2Erat,app_2E2(s(tyop_2Emin_2Efun(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Erat_2Erat),tyop_2Erat_2Erat),app_2E2(s(tyop_2Emin_2Efun(tyop_2Erat_2Erat,tyop_2Emin_2Efun(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Erat_2Erat),tyop_2Erat_2Erat)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Equote_2Evarmap(tyop_2Erat_2Erat),tyop_2Emin_2Efun(tyop_2Erat_2Erat,tyop_2Emin_2Efun(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Erat_2Erat),tyop_2Erat_2Erat))),c_2EratRing_2Erat__r__ics__aux_2E0),s(tyop_2Equote_2Evarmap(tyop_2Erat_2Erat),X0_2E0))),s(tyop_2Erat_2Erat,X1_2E0))),s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Erat_2Erat),X2_2E0))))).
fof(arityeq2_2Ec_2EratRing_2Erat__r__interp__vl_2E2,axiom,![X0_2E0, X1_2E0]: (s(tyop_2Erat_2Erat,c_2EratRing_2Erat__r__interp__vl_2E2(s(tyop_2Equote_2Evarmap(tyop_2Erat_2Erat),X0_2E0),s(tyop_2Elist_2Elist(tyop_2Equote_2Eindex),X1_2E0))) = s(tyop_2Erat_2Erat,app_2E2(s(tyop_2Emin_2Efun(tyop_2Elist_2Elist(tyop_2Equote_2Eindex),tyop_2Erat_2Erat),app_2E2(s(tyop_2Emin_2Efun(tyop_2Equote_2Evarmap(tyop_2Erat_2Erat),tyop_2Emin_2Efun(tyop_2Elist_2Elist(tyop_2Equote_2Eindex),tyop_2Erat_2Erat)),c_2EratRing_2Erat__r__interp__vl_2E0),s(tyop_2Equote_2Evarmap(tyop_2Erat_2Erat),X0_2E0))),s(tyop_2Elist_2Elist(tyop_2Equote_2Eindex),X1_2E0))))).
fof(arityeq3_2Ec_2EratRing_2Erat__r__interp__m_2E3,axiom,![X0_2E0, X1_2E0, X2_2E0]: (s(tyop_2Erat_2Erat,c_2EratRing_2Erat__r__interp__m_2E3(s(tyop_2Equote_2Evarmap(tyop_2Erat_2Erat),X0_2E0),s(tyop_2Erat_2Erat,X1_2E0),s(tyop_2Elist_2Elist(tyop_2Equote_2Eindex),X2_2E0))) = s(tyop_2Erat_2Erat,app_2E2(s(tyop_2Emin_2Efun(tyop_2Elist_2Elist(tyop_2Equote_2Eindex),tyop_2Erat_2Erat),app_2E2(s(tyop_2Emin_2Efun(tyop_2Erat_2Erat,tyop_2Emin_2Efun(tyop_2Elist_2Elist(tyop_2Equote_2Eindex),tyop_2Erat_2Erat)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Equote_2Evarmap(tyop_2Erat_2Erat),tyop_2Emin_2Efun(tyop_2Erat_2Erat,tyop_2Emin_2Efun(tyop_2Elist_2Elist(tyop_2Equote_2Eindex),tyop_2Erat_2Erat))),c_2EratRing_2Erat__r__interp__m_2E0),s(tyop_2Equote_2Evarmap(tyop_2Erat_2Erat),X0_2E0))),s(tyop_2Erat_2Erat,X1_2E0))),s(tyop_2Elist_2Elist(tyop_2Equote_2Eindex),X2_2E0))))).
fof(arityeq2_2Ec_2Erat_2Erat__mul_2E2,axiom,![X0_2E0, X1_2E0]: (s(tyop_2Erat_2Erat,c_2Erat_2Erat__mul_2E2(s(tyop_2Erat_2Erat,X0_2E0),s(tyop_2Erat_2Erat,X1_2E0))) = s(tyop_2Erat_2Erat,app_2E2(s(tyop_2Emin_2Efun(tyop_2Erat_2Erat,tyop_2Erat_2Erat),app_2E2(s(tyop_2Emin_2Efun(tyop_2Erat_2Erat,tyop_2Emin_2Efun(tyop_2Erat_2Erat,tyop_2Erat_2Erat)),c_2Erat_2Erat__mul_2E0),s(tyop_2Erat_2Erat,X0_2E0))),s(tyop_2Erat_2Erat,X1_2E0))))).
fof(arityeq3_2Ec_2EratRing_2Erat__r__ivl__aux_2E3,axiom,![X0_2E0, X1_2E0, X2_2E0]: (s(tyop_2Erat_2Erat,c_2EratRing_2Erat__r__ivl__aux_2E3(s(tyop_2Equote_2Evarmap(tyop_2Erat_2Erat),X0_2E0),s(tyop_2Equote_2Eindex,X1_2E0),s(tyop_2Elist_2Elist(tyop_2Equote_2Eindex),X2_2E0))) = s(tyop_2Erat_2Erat,app_2E2(s(tyop_2Emin_2Efun(tyop_2Elist_2Elist(tyop_2Equote_2Eindex),tyop_2Erat_2Erat),app_2E2(s(tyop_2Emin_2Efun(tyop_2Equote_2Eindex,tyop_2Emin_2Efun(tyop_2Elist_2Elist(tyop_2Equote_2Eindex),tyop_2Erat_2Erat)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Equote_2Evarmap(tyop_2Erat_2Erat),tyop_2Emin_2Efun(tyop_2Equote_2Eindex,tyop_2Emin_2Efun(tyop_2Elist_2Elist(tyop_2Equote_2Eindex),tyop_2Erat_2Erat))),c_2EratRing_2Erat__r__ivl__aux_2E0),s(tyop_2Equote_2Evarmap(tyop_2Erat_2Erat),X0_2E0))),s(tyop_2Equote_2Eindex,X1_2E0))),s(tyop_2Elist_2Elist(tyop_2Equote_2Eindex),X2_2E0))))).
fof(arityeq2_2Ec_2Equote_2Evarmap__find_2E2_2Emono_2Etyop_2Erat_2Erat,axiom,![X0_2E0, X1_2E0]: (s(tyop_2Erat_2Erat,c_2Equote_2Evarmap__find_2E2(s(tyop_2Equote_2Eindex,X0_2E0),s(tyop_2Equote_2Evarmap(tyop_2Erat_2Erat),X1_2E0))) = s(tyop_2Erat_2Erat,app_2E2(s(tyop_2Emin_2Efun(tyop_2Equote_2Evarmap(tyop_2Erat_2Erat),tyop_2Erat_2Erat),app_2E2(s(tyop_2Emin_2Efun(tyop_2Equote_2Eindex,tyop_2Emin_2Efun(tyop_2Equote_2Evarmap(tyop_2Erat_2Erat),tyop_2Erat_2Erat)),c_2Equote_2Evarmap__find_2E0),s(tyop_2Equote_2Eindex,X0_2E0))),s(tyop_2Equote_2Evarmap(tyop_2Erat_2Erat),X1_2E0))))).
fof(arityeq2_2Ec_2EratRing_2Erat__r__canonical__sum__merge_2E2,axiom,![X0_2E0, X1_2E0]: (s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Erat_2Erat),c_2EratRing_2Erat__r__canonical__sum__merge_2E2(s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Erat_2Erat),X0_2E0),s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Erat_2Erat),X1_2E0))) = s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Erat_2Erat),app_2E2(s(tyop_2Emin_2Efun(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Erat_2Erat),tyop_2Ecanonical_2Ecanonical__sum(tyop_2Erat_2Erat)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Erat_2Erat),tyop_2Emin_2Efun(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Erat_2Erat),tyop_2Ecanonical_2Ecanonical__sum(tyop_2Erat_2Erat))),c_2EratRing_2Erat__r__canonical__sum__merge_2E0),s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Erat_2Erat),X0_2E0))),s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Erat_2Erat),X1_2E0))))).
fof(arityeq2_2Ec_2EratRing_2Erat__r__canonical__sum__prod_2E2,axiom,![X0_2E0, X1_2E0]: (s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Erat_2Erat),c_2EratRing_2Erat__r__canonical__sum__prod_2E2(s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Erat_2Erat),X0_2E0),s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Erat_2Erat),X1_2E0))) = s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Erat_2Erat),app_2E2(s(tyop_2Emin_2Efun(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Erat_2Erat),tyop_2Ecanonical_2Ecanonical__sum(tyop_2Erat_2Erat)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Erat_2Erat),tyop_2Emin_2Efun(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Erat_2Erat),tyop_2Ecanonical_2Ecanonical__sum(tyop_2Erat_2Erat))),c_2EratRing_2Erat__r__canonical__sum__prod_2E0),s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Erat_2Erat),X0_2E0))),s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Erat_2Erat),X1_2E0))))).
fof(arityeq2_2Ec_2EratRing_2Erat__r__canonical__sum__scalar2_2E2,axiom,![X0_2E0, X1_2E0]: (s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Erat_2Erat),c_2EratRing_2Erat__r__canonical__sum__scalar2_2E2(s(tyop_2Elist_2Elist(tyop_2Equote_2Eindex),X0_2E0),s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Erat_2Erat),X1_2E0))) = s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Erat_2Erat),app_2E2(s(tyop_2Emin_2Efun(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Erat_2Erat),tyop_2Ecanonical_2Ecanonical__sum(tyop_2Erat_2Erat)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Elist_2Elist(tyop_2Equote_2Eindex),tyop_2Emin_2Efun(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Erat_2Erat),tyop_2Ecanonical_2Ecanonical__sum(tyop_2Erat_2Erat))),c_2EratRing_2Erat__r__canonical__sum__scalar2_2E0),s(tyop_2Elist_2Elist(tyop_2Equote_2Eindex),X0_2E0))),s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Erat_2Erat),X1_2E0))))).
fof(arityeq3_2Ec_2EratRing_2Erat__r__canonical__sum__scalar3_2E3,axiom,![X0_2E0, X1_2E0, X2_2E0]: (s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Erat_2Erat),c_2EratRing_2Erat__r__canonical__sum__scalar3_2E3(s(tyop_2Erat_2Erat,X0_2E0),s(tyop_2Elist_2Elist(tyop_2Equote_2Eindex),X1_2E0),s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Erat_2Erat),X2_2E0))) = s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Erat_2Erat),app_2E2(s(tyop_2Emin_2Efun(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Erat_2Erat),tyop_2Ecanonical_2Ecanonical__sum(tyop_2Erat_2Erat)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Elist_2Elist(tyop_2Equote_2Eindex),tyop_2Emin_2Efun(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Erat_2Erat),tyop_2Ecanonical_2Ecanonical__sum(tyop_2Erat_2Erat))),app_2E2(s(tyop_2Emin_2Efun(tyop_2Erat_2Erat,tyop_2Emin_2Efun(tyop_2Elist_2Elist(tyop_2Equote_2Eindex),tyop_2Emin_2Efun(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Erat_2Erat),tyop_2Ecanonical_2Ecanonical__sum(tyop_2Erat_2Erat)))),c_2EratRing_2Erat__r__canonical__sum__scalar3_2E0),s(tyop_2Erat_2Erat,X0_2E0))),s(tyop_2Elist_2Elist(tyop_2Equote_2Eindex),X1_2E0))),s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Erat_2Erat),X2_2E0))))).
fof(arityeq2_2Ec_2EratRing_2Erat__r__canonical__sum__scalar_2E2,axiom,![X0_2E0, X1_2E0]: (s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Erat_2Erat),c_2EratRing_2Erat__r__canonical__sum__scalar_2E2(s(tyop_2Erat_2Erat,X0_2E0),s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Erat_2Erat),X1_2E0))) = s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Erat_2Erat),app_2E2(s(tyop_2Emin_2Efun(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Erat_2Erat),tyop_2Ecanonical_2Ecanonical__sum(tyop_2Erat_2Erat)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Erat_2Erat,tyop_2Emin_2Efun(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Erat_2Erat),tyop_2Ecanonical_2Ecanonical__sum(tyop_2Erat_2Erat))),c_2EratRing_2Erat__r__canonical__sum__scalar_2E0),s(tyop_2Erat_2Erat,X0_2E0))),s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Erat_2Erat),X1_2E0))))).
fof(arityeq2_2Ec_2EratRing_2Erat__r__interp__cs_2E2,axiom,![X0_2E0, X1_2E0]: (s(tyop_2Erat_2Erat,c_2EratRing_2Erat__r__interp__cs_2E2(s(tyop_2Equote_2Evarmap(tyop_2Erat_2Erat),X0_2E0),s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Erat_2Erat),X1_2E0))) = s(tyop_2Erat_2Erat,app_2E2(s(tyop_2Emin_2Efun(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Erat_2Erat),tyop_2Erat_2Erat),app_2E2(s(tyop_2Emin_2Efun(tyop_2Equote_2Evarmap(tyop_2Erat_2Erat),tyop_2Emin_2Efun(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Erat_2Erat),tyop_2Erat_2Erat)),c_2EratRing_2Erat__r__interp__cs_2E0),s(tyop_2Equote_2Evarmap(tyop_2Erat_2Erat),X0_2E0))),s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Erat_2Erat),X1_2E0))))).
fof(arityeq2_2Ec_2EratRing_2Erat__r__varlist__insert_2E2,axiom,![X0_2E0, X1_2E0]: (s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Erat_2Erat),c_2EratRing_2Erat__r__varlist__insert_2E2(s(tyop_2Elist_2Elist(tyop_2Equote_2Eindex),X0_2E0),s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Erat_2Erat),X1_2E0))) = s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Erat_2Erat),app_2E2(s(tyop_2Emin_2Efun(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Erat_2Erat),tyop_2Ecanonical_2Ecanonical__sum(tyop_2Erat_2Erat)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Elist_2Elist(tyop_2Equote_2Eindex),tyop_2Emin_2Efun(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Erat_2Erat),tyop_2Ecanonical_2Ecanonical__sum(tyop_2Erat_2Erat))),c_2EratRing_2Erat__r__varlist__insert_2E0),s(tyop_2Elist_2Elist(tyop_2Equote_2Eindex),X0_2E0))),s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Erat_2Erat),X1_2E0))))).
fof(arityeq3_2Ec_2EternaryComparisons_2Elist__merge_2E3_2Emono_2Etyop_2Equote_2Eindex,axiom,![X0_2E0, X1_2E0, X2_2E0]: (s(tyop_2Elist_2Elist(tyop_2Equote_2Eindex),c_2EternaryComparisons_2Elist__merge_2E3(s(tyop_2Emin_2Efun(tyop_2Equote_2Eindex,tyop_2Emin_2Efun(tyop_2Equote_2Eindex,tyop_2Emin_2Ebool)),X0_2E0),s(tyop_2Elist_2Elist(tyop_2Equote_2Eindex),X1_2E0),s(tyop_2Elist_2Elist(tyop_2Equote_2Eindex),X2_2E0))) = s(tyop_2Elist_2Elist(tyop_2Equote_2Eindex),app_2E2(s(tyop_2Emin_2Efun(tyop_2Elist_2Elist(tyop_2Equote_2Eindex),tyop_2Elist_2Elist(tyop_2Equote_2Eindex)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Elist_2Elist(tyop_2Equote_2Eindex),tyop_2Emin_2Efun(tyop_2Elist_2Elist(tyop_2Equote_2Eindex),tyop_2Elist_2Elist(tyop_2Equote_2Eindex))),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Equote_2Eindex,tyop_2Emin_2Efun(tyop_2Equote_2Eindex,tyop_2Emin_2Ebool)),tyop_2Emin_2Efun(tyop_2Elist_2Elist(tyop_2Equote_2Eindex),tyop_2Emin_2Efun(tyop_2Elist_2Elist(tyop_2Equote_2Eindex),tyop_2Elist_2Elist(tyop_2Equote_2Eindex)))),c_2EternaryComparisons_2Elist__merge_2E0),s(tyop_2Emin_2Efun(tyop_2Equote_2Eindex,tyop_2Emin_2Efun(tyop_2Equote_2Eindex,tyop_2Emin_2Ebool)),X0_2E0))),s(tyop_2Elist_2Elist(tyop_2Equote_2Eindex),X1_2E0))),s(tyop_2Elist_2Elist(tyop_2Equote_2Eindex),X2_2E0))))).
fof(arityeq2_2Ec_2Equote_2Evarmap__find_2E2_2Emono_2EA_27a,axiom,![A_27a]: ![X0_2E0, X1_2E0]: (s(A_27a,c_2Equote_2Evarmap__find_2E2(s(tyop_2Equote_2Eindex,X0_2E0),s(tyop_2Equote_2Evarmap(A_27a),X1_2E0))) = s(A_27a,app_2E2(s(tyop_2Emin_2Efun(tyop_2Equote_2Evarmap(A_27a),A_27a),app_2E2(s(tyop_2Emin_2Efun(tyop_2Equote_2Eindex,tyop_2Emin_2Efun(tyop_2Equote_2Evarmap(A_27a),A_27a)),c_2Equote_2Evarmap__find_2E0),s(tyop_2Equote_2Eindex,X0_2E0))),s(tyop_2Equote_2Evarmap(A_27a),X1_2E0))))).
fof(arityeq3_2Ec_2Equote_2ENode__vm_2E3_2Emono_2EA_27a,axiom,![A_27a]: ![X0_2E0, X1_2E0, X2_2E0]: (s(tyop_2Equote_2Evarmap(A_27a),c_2Equote_2ENode__vm_2E3(s(A_27a,X0_2E0),s(tyop_2Equote_2Evarmap(A_27a),X1_2E0),s(tyop_2Equote_2Evarmap(A_27a),X2_2E0))) = s(tyop_2Equote_2Evarmap(A_27a),app_2E2(s(tyop_2Emin_2Efun(tyop_2Equote_2Evarmap(A_27a),tyop_2Equote_2Evarmap(A_27a)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Equote_2Evarmap(A_27a),tyop_2Emin_2Efun(tyop_2Equote_2Evarmap(A_27a),tyop_2Equote_2Evarmap(A_27a))),app_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(tyop_2Equote_2Evarmap(A_27a),tyop_2Emin_2Efun(tyop_2Equote_2Evarmap(A_27a),tyop_2Equote_2Evarmap(A_27a)))),c_2Equote_2ENode__vm_2E0),s(A_27a,X0_2E0))),s(tyop_2Equote_2Evarmap(A_27a),X1_2E0))),s(tyop_2Equote_2Evarmap(A_27a),X2_2E0))))).
fof(arityeq1_2Ec_2Equote_2ELeft__idx_2E1,axiom,![X0_2E0]: (s(tyop_2Equote_2Eindex,c_2Equote_2ELeft__idx_2E1(s(tyop_2Equote_2Eindex,X0_2E0))) = s(tyop_2Equote_2Eindex,app_2E2(s(tyop_2Emin_2Efun(tyop_2Equote_2Eindex,tyop_2Equote_2Eindex),c_2Equote_2ELeft__idx_2E0),s(tyop_2Equote_2Eindex,X0_2E0))))).
fof(arityeq1_2Ec_2Equote_2ERight__idx_2E1,axiom,![X0_2E0]: (s(tyop_2Equote_2Eindex,c_2Equote_2ERight__idx_2E1(s(tyop_2Equote_2Eindex,X0_2E0))) = s(tyop_2Equote_2Eindex,app_2E2(s(tyop_2Emin_2Efun(tyop_2Equote_2Eindex,tyop_2Equote_2Eindex),c_2Equote_2ERight__idx_2E0),s(tyop_2Equote_2Eindex,X0_2E0))))).
fof(arityeq3_2Ec_2Ebool_2ECOND_2E3_2Emono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Erat_2Erat_29,axiom,![X0_2E0, X1_2E0, X2_2E0]: (s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Erat_2Erat),c_2Ebool_2ECOND_2E3(s(tyop_2Emin_2Ebool,X0_2E0),s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Erat_2Erat),X1_2E0),s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Erat_2Erat),X2_2E0))) = s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Erat_2Erat),app_2E2(s(tyop_2Emin_2Efun(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Erat_2Erat),tyop_2Ecanonical_2Ecanonical__sum(tyop_2Erat_2Erat)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Erat_2Erat),tyop_2Emin_2Efun(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Erat_2Erat),tyop_2Ecanonical_2Ecanonical__sum(tyop_2Erat_2Erat))),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Erat_2Erat),tyop_2Emin_2Efun(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Erat_2Erat),tyop_2Ecanonical_2Ecanonical__sum(tyop_2Erat_2Erat)))),c_2Ebool_2ECOND_2E0),s(tyop_2Emin_2Ebool,X0_2E0))),s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Erat_2Erat),X1_2E0))),s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Erat_2Erat),X2_2E0))))).
fof(arityeq3_2Ec_2EratRing_2Erat__r__monom__insert_2E3,axiom,![X0_2E0, X1_2E0, X2_2E0]: (s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Erat_2Erat),c_2EratRing_2Erat__r__monom__insert_2E3(s(tyop_2Erat_2Erat,X0_2E0),s(tyop_2Elist_2Elist(tyop_2Equote_2Eindex),X1_2E0),s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Erat_2Erat),X2_2E0))) = s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Erat_2Erat),app_2E2(s(tyop_2Emin_2Efun(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Erat_2Erat),tyop_2Ecanonical_2Ecanonical__sum(tyop_2Erat_2Erat)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Elist_2Elist(tyop_2Equote_2Eindex),tyop_2Emin_2Efun(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Erat_2Erat),tyop_2Ecanonical_2Ecanonical__sum(tyop_2Erat_2Erat))),app_2E2(s(tyop_2Emin_2Efun(tyop_2Erat_2Erat,tyop_2Emin_2Efun(tyop_2Elist_2Elist(tyop_2Equote_2Eindex),tyop_2Emin_2Efun(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Erat_2Erat),tyop_2Ecanonical_2Ecanonical__sum(tyop_2Erat_2Erat)))),c_2EratRing_2Erat__r__monom__insert_2E0),s(tyop_2Erat_2Erat,X0_2E0))),s(tyop_2Elist_2Elist(tyop_2Equote_2Eindex),X1_2E0))),s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Erat_2Erat),X2_2E0))))).
fof(arityeq3_2Ec_2EternaryComparisons_2Elist__compare_2E3_2Emono_2Etyop_2Equote_2Eindex_20mono_2Etyop_2Equote_2Eindex,axiom,![X0_2E0, X1_2E0, X2_2E0]: (s(tyop_2EternaryComparisons_2Eordering,c_2EternaryComparisons_2Elist__compare_2E3(s(tyop_2Emin_2Efun(tyop_2Equote_2Eindex,tyop_2Emin_2Efun(tyop_2Equote_2Eindex,tyop_2EternaryComparisons_2Eordering)),X0_2E0),s(tyop_2Elist_2Elist(tyop_2Equote_2Eindex),X1_2E0),s(tyop_2Elist_2Elist(tyop_2Equote_2Eindex),X2_2E0))) = s(tyop_2EternaryComparisons_2Eordering,app_2E2(s(tyop_2Emin_2Efun(tyop_2Elist_2Elist(tyop_2Equote_2Eindex),tyop_2EternaryComparisons_2Eordering),app_2E2(s(tyop_2Emin_2Efun(tyop_2Elist_2Elist(tyop_2Equote_2Eindex),tyop_2Emin_2Efun(tyop_2Elist_2Elist(tyop_2Equote_2Eindex),tyop_2EternaryComparisons_2Eordering)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Equote_2Eindex,tyop_2Emin_2Efun(tyop_2Equote_2Eindex,tyop_2EternaryComparisons_2Eordering)),tyop_2Emin_2Efun(tyop_2Elist_2Elist(tyop_2Equote_2Eindex),tyop_2Emin_2Efun(tyop_2Elist_2Elist(tyop_2Equote_2Eindex),tyop_2EternaryComparisons_2Eordering))),c_2EternaryComparisons_2Elist__compare_2E0),s(tyop_2Emin_2Efun(tyop_2Equote_2Eindex,tyop_2Emin_2Efun(tyop_2Equote_2Eindex,tyop_2EternaryComparisons_2Eordering)),X0_2E0))),s(tyop_2Elist_2Elist(tyop_2Equote_2Eindex),X1_2E0))),s(tyop_2Elist_2Elist(tyop_2Equote_2Eindex),X2_2E0))))).
fof(arityeq4_2Ec_2EternaryComparisons_2Eordering__CASE_2E4_2Emono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Erat_2Erat_29,axiom,![X0_2E0, X1_2E0, X2_2E0, X3_2E0]: (s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Erat_2Erat),c_2EternaryComparisons_2Eordering__CASE_2E4(s(tyop_2EternaryComparisons_2Eordering,X0_2E0),s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Erat_2Erat),X1_2E0),s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Erat_2Erat),X2_2E0),s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Erat_2Erat),X3_2E0))) = s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Erat_2Erat),app_2E2(s(tyop_2Emin_2Efun(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Erat_2Erat),tyop_2Ecanonical_2Ecanonical__sum(tyop_2Erat_2Erat)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Erat_2Erat),tyop_2Emin_2Efun(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Erat_2Erat),tyop_2Ecanonical_2Ecanonical__sum(tyop_2Erat_2Erat))),app_2E2(s(tyop_2Emin_2Efun(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Erat_2Erat),tyop_2Emin_2Efun(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Erat_2Erat),tyop_2Emin_2Efun(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Erat_2Erat),tyop_2Ecanonical_2Ecanonical__sum(tyop_2Erat_2Erat)))),app_2E2(s(tyop_2Emin_2Efun(tyop_2EternaryComparisons_2Eordering,tyop_2Emin_2Efun(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Erat_2Erat),tyop_2Emin_2Efun(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Erat_2Erat),tyop_2Emin_2Efun(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Erat_2Erat),tyop_2Ecanonical_2Ecanonical__sum(tyop_2Erat_2Erat))))),c_2EternaryComparisons_2Eordering__CASE_2E0),s(tyop_2EternaryComparisons_2Eordering,X0_2E0))),s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Erat_2Erat),X1_2E0))),s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Erat_2Erat),X2_2E0))),s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Erat_2Erat),X3_2E0))))).
fof(ratRingTheory_2Erat__ring__thms,axiom,![A_27a]: ![F2_2E0, F1_2E0, F0_2E0]: (![V107c_2E0]: (p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Erat_2Erat,tyop_2Emin_2Ebool),F2_2E0),s(tyop_2Erat_2Erat,V107c_2E0)))) <=> (s(tyop_2Erat_2Erat,V107c_2E0) = s(tyop_2Erat_2Erat,c_2Erat_2Erat__of__num_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2ENUMERAL_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT1_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EZERO_2E0))))))))) => (![V107c_2E0]: (p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Erat_2Erat,tyop_2Emin_2Ebool),F1_2E0),s(tyop_2Erat_2Erat,V107c_2E0)))) <=> (s(tyop_2Erat_2Erat,V107c_2E0) = s(tyop_2Erat_2Erat,c_2Erat_2Erat__of__num_2E1(s(tyop_2Enum_2Enum,c_2Enum_2E0_2E0))))) => (![V26x_2E0]: (s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),F0_2E0),s(A_27a,V26x_2E0))) = s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)) => (p(s(tyop_2Emin_2Ebool,c_2Ering_2Eis__ring_2E1(s(tyop_2Ering_2Ering(tyop_2Erat_2Erat),c_2Ering_2Erecordtype_2Ering_2E5(s(tyop_2Erat_2Erat,c_2Erat_2Erat__of__num_2E1(s(tyop_2Enum_2Enum,c_2Enum_2E0_2E0))),s(tyop_2Erat_2Erat,c_2Erat_2Erat__of__num_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2ENUMERAL_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT1_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EZERO_2E0))))))),s(tyop_2Emin_2Efun(tyop_2Erat_2Erat,tyop_2Emin_2Efun(tyop_2Erat_2Erat,tyop_2Erat_2Erat)),c_2Erat_2Erat__add_2E0),s(tyop_2Emin_2Efun(tyop_2Erat_2Erat,tyop_2Emin_2Efun(tyop_2Erat_2Erat,tyop_2Erat_2Erat)),c_2Erat_2Erat__mul_2E0),s(tyop_2Emin_2Efun(tyop_2Erat_2Erat,tyop_2Erat_2Erat),c_2Erat_2Erat__ainv_2E0)))))) & (![V0vm_2E0, V1p_2E0]: (s(tyop_2Erat_2Erat,c_2EratRing_2Erat__interp__p_2E2(s(tyop_2Equote_2Evarmap(tyop_2Erat_2Erat),V0vm_2E0),s(tyop_2EringNorm_2Epolynom(tyop_2Erat_2Erat),V1p_2E0))) = s(tyop_2Erat_2Erat,c_2EratRing_2Erat__r__interp__cs_2E2(s(tyop_2Equote_2Evarmap(tyop_2Erat_2Erat),V0vm_2E0),s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Erat_2Erat),c_2EratRing_2Erat__polynom__simplify_2E1(s(tyop_2EringNorm_2Epolynom(tyop_2Erat_2Erat),V1p_2E0)))))) & (((![V2vm_2E0, V3c_2E0]: (s(tyop_2Erat_2Erat,c_2EratRing_2Erat__interp__p_2E2(s(tyop_2Equote_2Evarmap(tyop_2Erat_2Erat),V2vm_2E0),s(tyop_2EringNorm_2Epolynom(tyop_2Erat_2Erat),c_2EringNorm_2EPconst_2E1(s(tyop_2Erat_2Erat,V3c_2E0))))) = s(tyop_2Erat_2Erat,V3c_2E0)) & (![V4vm_2E0, V5i_2E0]: (s(tyop_2Erat_2Erat,c_2EratRing_2Erat__interp__p_2E2(s(tyop_2Equote_2Evarmap(tyop_2Erat_2Erat),V4vm_2E0),s(tyop_2EringNorm_2Epolynom(tyop_2Erat_2Erat),c_2EringNorm_2EPvar_2E1(s(tyop_2Equote_2Eindex,V5i_2E0))))) = s(tyop_2Erat_2Erat,c_2Equote_2Evarmap__find_2E2(s(tyop_2Equote_2Eindex,V5i_2E0),s(tyop_2Equote_2Evarmap(tyop_2Erat_2Erat),V4vm_2E0)))) & (![V6vm_2E0, V7p1_2E0, V8p2_2E0]: (s(tyop_2Erat_2Erat,c_2EratRing_2Erat__interp__p_2E2(s(tyop_2Equote_2Evarmap(tyop_2Erat_2Erat),V6vm_2E0),s(tyop_2EringNorm_2Epolynom(tyop_2Erat_2Erat),c_2EringNorm_2EPplus_2E2(s(tyop_2EringNorm_2Epolynom(tyop_2Erat_2Erat),V7p1_2E0),s(tyop_2EringNorm_2Epolynom(tyop_2Erat_2Erat),V8p2_2E0))))) = s(tyop_2Erat_2Erat,c_2Erat_2Erat__add_2E2(s(tyop_2Erat_2Erat,c_2EratRing_2Erat__interp__p_2E2(s(tyop_2Equote_2Evarmap(tyop_2Erat_2Erat),V6vm_2E0),s(tyop_2EringNorm_2Epolynom(tyop_2Erat_2Erat),V7p1_2E0))),s(tyop_2Erat_2Erat,c_2EratRing_2Erat__interp__p_2E2(s(tyop_2Equote_2Evarmap(tyop_2Erat_2Erat),V6vm_2E0),s(tyop_2EringNorm_2Epolynom(tyop_2Erat_2Erat),V8p2_2E0)))))) & (![V9vm_2E0, V10p1_2E0, V11p2_2E0]: (s(tyop_2Erat_2Erat,c_2EratRing_2Erat__interp__p_2E2(s(tyop_2Equote_2Evarmap(tyop_2Erat_2Erat),V9vm_2E0),s(tyop_2EringNorm_2Epolynom(tyop_2Erat_2Erat),c_2EringNorm_2EPmult_2E2(s(tyop_2EringNorm_2Epolynom(tyop_2Erat_2Erat),V10p1_2E0),s(tyop_2EringNorm_2Epolynom(tyop_2Erat_2Erat),V11p2_2E0))))) = s(tyop_2Erat_2Erat,c_2Erat_2Erat__mul_2E2(s(tyop_2Erat_2Erat,c_2EratRing_2Erat__interp__p_2E2(s(tyop_2Equote_2Evarmap(tyop_2Erat_2Erat),V9vm_2E0),s(tyop_2EringNorm_2Epolynom(tyop_2Erat_2Erat),V10p1_2E0))),s(tyop_2Erat_2Erat,c_2EratRing_2Erat__interp__p_2E2(s(tyop_2Equote_2Evarmap(tyop_2Erat_2Erat),V9vm_2E0),s(tyop_2EringNorm_2Epolynom(tyop_2Erat_2Erat),V11p2_2E0)))))) & ![V12vm_2E0, V13p1_2E0]: (s(tyop_2Erat_2Erat,c_2EratRing_2Erat__interp__p_2E2(s(tyop_2Equote_2Evarmap(tyop_2Erat_2Erat),V12vm_2E0),s(tyop_2EringNorm_2Epolynom(tyop_2Erat_2Erat),c_2EringNorm_2EPopp_2E1(s(tyop_2EringNorm_2Epolynom(tyop_2Erat_2Erat),V13p1_2E0))))) = s(tyop_2Erat_2Erat,c_2Erat_2Erat__ainv_2E1(s(tyop_2Erat_2Erat,c_2EratRing_2Erat__interp__p_2E2(s(tyop_2Equote_2Evarmap(tyop_2Erat_2Erat),V12vm_2E0),s(tyop_2EringNorm_2Epolynom(tyop_2Erat_2Erat),V13p1_2E0)))))))))) & (![V14x_2E0, V15v2_2E0, V16v1_2E0]: (s(A_27a,c_2Equote_2Evarmap__find_2E2(s(tyop_2Equote_2Eindex,c_2Equote_2EEnd__idx_2E0),s(tyop_2Equote_2Evarmap(A_27a),c_2Equote_2ENode__vm_2E3(s(A_27a,V14x_2E0),s(tyop_2Equote_2Evarmap(A_27a),V16v1_2E0),s(tyop_2Equote_2Evarmap(A_27a),V15v2_2E0))))) = s(A_27a,V14x_2E0)) & (![V17x_2E0, V18v2_2E0, V19v1_2E0, V20i1_2E0]: (s(A_27a,c_2Equote_2Evarmap__find_2E2(s(tyop_2Equote_2Eindex,c_2Equote_2ERight__idx_2E1(s(tyop_2Equote_2Eindex,V20i1_2E0))),s(tyop_2Equote_2Evarmap(A_27a),c_2Equote_2ENode__vm_2E3(s(A_27a,V17x_2E0),s(tyop_2Equote_2Evarmap(A_27a),V19v1_2E0),s(tyop_2Equote_2Evarmap(A_27a),V18v2_2E0))))) = s(A_27a,c_2Equote_2Evarmap__find_2E2(s(tyop_2Equote_2Eindex,V20i1_2E0),s(tyop_2Equote_2Evarmap(A_27a),V18v2_2E0)))) & (![V21x_2E0, V22v2_2E0, V23v1_2E0, V24i1_2E0]: (s(A_27a,c_2Equote_2Evarmap__find_2E2(s(tyop_2Equote_2Eindex,c_2Equote_2ELeft__idx_2E1(s(tyop_2Equote_2Eindex,V24i1_2E0))),s(tyop_2Equote_2Evarmap(A_27a),c_2Equote_2ENode__vm_2E3(s(A_27a,V21x_2E0),s(tyop_2Equote_2Evarmap(A_27a),V23v1_2E0),s(tyop_2Equote_2Evarmap(A_27a),V22v2_2E0))))) = s(A_27a,c_2Equote_2Evarmap__find_2E2(s(tyop_2Equote_2Eindex,V24i1_2E0),s(tyop_2Equote_2Evarmap(A_27a),V23v1_2E0)))) & ![V25i_2E0]: (s(A_27a,c_2Equote_2Evarmap__find_2E2(s(tyop_2Equote_2Eindex,V25i_2E0),s(tyop_2Equote_2Evarmap(A_27a),c_2Equote_2EEmpty__vm_2E0))) = s(A_27a,c_2Emin_2E_40_2E1(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),F0_2E0)))))))) & ((![V27t2_2E0, V28t1_2E0, V29l2_2E0, V30l1_2E0, V31c2_2E0, V32c1_2E0]: (s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Erat_2Erat),c_2EratRing_2Erat__r__canonical__sum__merge_2E2(s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Erat_2Erat),c_2Ecanonical_2ECons__monom_2E3(s(tyop_2Erat_2Erat,V32c1_2E0),s(tyop_2Elist_2Elist(tyop_2Equote_2Eindex),V30l1_2E0),s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Erat_2Erat),V28t1_2E0))),s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Erat_2Erat),c_2Ecanonical_2ECons__monom_2E3(s(tyop_2Erat_2Erat,V31c2_2E0),s(tyop_2Elist_2Elist(tyop_2Equote_2Eindex),V29l2_2E0),s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Erat_2Erat),V27t2_2E0))))) = s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Erat_2Erat),c_2EternaryComparisons_2Eordering__CASE_2E4(s(tyop_2EternaryComparisons_2Eordering,c_2EternaryComparisons_2Elist__compare_2E3(s(tyop_2Emin_2Efun(tyop_2Equote_2Eindex,tyop_2Emin_2Efun(tyop_2Equote_2Eindex,tyop_2EternaryComparisons_2Eordering)),c_2Equote_2Eindex__compare_2E0),s(tyop_2Elist_2Elist(tyop_2Equote_2Eindex),V30l1_2E0),s(tyop_2Elist_2Elist(tyop_2Equote_2Eindex),V29l2_2E0))),s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Erat_2Erat),c_2Ecanonical_2ECons__monom_2E3(s(tyop_2Erat_2Erat,V32c1_2E0),s(tyop_2Elist_2Elist(tyop_2Equote_2Eindex),V30l1_2E0),s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Erat_2Erat),c_2EratRing_2Erat__r__canonical__sum__merge_2E2(s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Erat_2Erat),V28t1_2E0),s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Erat_2Erat),c_2Ecanonical_2ECons__monom_2E3(s(tyop_2Erat_2Erat,V31c2_2E0),s(tyop_2Elist_2Elist(tyop_2Equote_2Eindex),V29l2_2E0),s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Erat_2Erat),V27t2_2E0))))))),s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Erat_2Erat),c_2Ecanonical_2ECons__monom_2E3(s(tyop_2Erat_2Erat,c_2Erat_2Erat__add_2E2(s(tyop_2Erat_2Erat,V32c1_2E0),s(tyop_2Erat_2Erat,V31c2_2E0))),s(tyop_2Elist_2Elist(tyop_2Equote_2Eindex),V30l1_2E0),s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Erat_2Erat),c_2EratRing_2Erat__r__canonical__sum__merge_2E2(s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Erat_2Erat),V28t1_2E0),s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Erat_2Erat),V27t2_2E0))))),s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Erat_2Erat),c_2Ecanonical_2ECons__monom_2E3(s(tyop_2Erat_2Erat,V31c2_2E0),s(tyop_2Elist_2Elist(tyop_2Equote_2Eindex),V29l2_2E0),s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Erat_2Erat),c_2EratRing_2Erat__r__canonical__sum__merge_2E2(s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Erat_2Erat),c_2Ecanonical_2ECons__monom_2E3(s(tyop_2Erat_2Erat,V32c1_2E0),s(tyop_2Elist_2Elist(tyop_2Equote_2Eindex),V30l1_2E0),s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Erat_2Erat),V28t1_2E0))),s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Erat_2Erat),V27t2_2E0)))))))) & (![V33t2_2E0, V34t1_2E0, V35l2_2E0, V36l1_2E0, V37c1_2E0]: (s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Erat_2Erat),c_2EratRing_2Erat__r__canonical__sum__merge_2E2(s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Erat_2Erat),c_2Ecanonical_2ECons__monom_2E3(s(tyop_2Erat_2Erat,V37c1_2E0),s(tyop_2Elist_2Elist(tyop_2Equote_2Eindex),V36l1_2E0),s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Erat_2Erat),V34t1_2E0))),s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Erat_2Erat),c_2Ecanonical_2ECons__varlist_2E2(s(tyop_2Elist_2Elist(tyop_2Equote_2Eindex),V35l2_2E0),s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Erat_2Erat),V33t2_2E0))))) = s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Erat_2Erat),c_2EternaryComparisons_2Eordering__CASE_2E4(s(tyop_2EternaryComparisons_2Eordering,c_2EternaryComparisons_2Elist__compare_2E3(s(tyop_2Emin_2Efun(tyop_2Equote_2Eindex,tyop_2Emin_2Efun(tyop_2Equote_2Eindex,tyop_2EternaryComparisons_2Eordering)),c_2Equote_2Eindex__compare_2E0),s(tyop_2Elist_2Elist(tyop_2Equote_2Eindex),V36l1_2E0),s(tyop_2Elist_2Elist(tyop_2Equote_2Eindex),V35l2_2E0))),s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Erat_2Erat),c_2Ecanonical_2ECons__monom_2E3(s(tyop_2Erat_2Erat,V37c1_2E0),s(tyop_2Elist_2Elist(tyop_2Equote_2Eindex),V36l1_2E0),s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Erat_2Erat),c_2EratRing_2Erat__r__canonical__sum__merge_2E2(s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Erat_2Erat),V34t1_2E0),s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Erat_2Erat),c_2Ecanonical_2ECons__varlist_2E2(s(tyop_2Elist_2Elist(tyop_2Equote_2Eindex),V35l2_2E0),s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Erat_2Erat),V33t2_2E0))))))),s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Erat_2Erat),c_2Ecanonical_2ECons__monom_2E3(s(tyop_2Erat_2Erat,c_2Erat_2Erat__add_2E2(s(tyop_2Erat_2Erat,V37c1_2E0),s(tyop_2Erat_2Erat,c_2Erat_2Erat__of__num_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2ENUMERAL_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT1_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EZERO_2E0))))))))),s(tyop_2Elist_2Elist(tyop_2Equote_2Eindex),V36l1_2E0),s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Erat_2Erat),c_2EratRing_2Erat__r__canonical__sum__merge_2E2(s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Erat_2Erat),V34t1_2E0),s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Erat_2Erat),V33t2_2E0))))),s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Erat_2Erat),c_2Ecanonical_2ECons__varlist_2E2(s(tyop_2Elist_2Elist(tyop_2Equote_2Eindex),V35l2_2E0),s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Erat_2Erat),c_2EratRing_2Erat__r__canonical__sum__merge_2E2(s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Erat_2Erat),c_2Ecanonical_2ECons__monom_2E3(s(tyop_2Erat_2Erat,V37c1_2E0),s(tyop_2Elist_2Elist(tyop_2Equote_2Eindex),V36l1_2E0),s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Erat_2Erat),V34t1_2E0))),s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Erat_2Erat),V33t2_2E0)))))))) & (![V38t2_2E0, V39t1_2E0, V40l2_2E0, V41l1_2E0, V42c2_2E0]: (s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Erat_2Erat),c_2EratRing_2Erat__r__canonical__sum__merge_2E2(s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Erat_2Erat),c_2Ecanonical_2ECons__varlist_2E2(s(tyop_2Elist_2Elist(tyop_2Equote_2Eindex),V41l1_2E0),s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Erat_2Erat),V39t1_2E0))),s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Erat_2Erat),c_2Ecanonical_2ECons__monom_2E3(s(tyop_2Erat_2Erat,V42c2_2E0),s(tyop_2Elist_2Elist(tyop_2Equote_2Eindex),V40l2_2E0),s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Erat_2Erat),V38t2_2E0))))) = s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Erat_2Erat),c_2EternaryComparisons_2Eordering__CASE_2E4(s(tyop_2EternaryComparisons_2Eordering,c_2EternaryComparisons_2Elist__compare_2E3(s(tyop_2Emin_2Efun(tyop_2Equote_2Eindex,tyop_2Emin_2Efun(tyop_2Equote_2Eindex,tyop_2EternaryComparisons_2Eordering)),c_2Equote_2Eindex__compare_2E0),s(tyop_2Elist_2Elist(tyop_2Equote_2Eindex),V41l1_2E0),s(tyop_2Elist_2Elist(tyop_2Equote_2Eindex),V40l2_2E0))),s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Erat_2Erat),c_2Ecanonical_2ECons__varlist_2E2(s(tyop_2Elist_2Elist(tyop_2Equote_2Eindex),V41l1_2E0),s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Erat_2Erat),c_2EratRing_2Erat__r__canonical__sum__merge_2E2(s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Erat_2Erat),V39t1_2E0),s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Erat_2Erat),c_2Ecanonical_2ECons__monom_2E3(s(tyop_2Erat_2Erat,V42c2_2E0),s(tyop_2Elist_2Elist(tyop_2Equote_2Eindex),V40l2_2E0),s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Erat_2Erat),V38t2_2E0))))))),s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Erat_2Erat),c_2Ecanonical_2ECons__monom_2E3(s(tyop_2Erat_2Erat,c_2Erat_2Erat__add_2E2(s(tyop_2Erat_2Erat,c_2Erat_2Erat__of__num_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2ENUMERAL_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT1_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EZERO_2E0))))))),s(tyop_2Erat_2Erat,V42c2_2E0))),s(tyop_2Elist_2Elist(tyop_2Equote_2Eindex),V41l1_2E0),s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Erat_2Erat),c_2EratRing_2Erat__r__canonical__sum__merge_2E2(s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Erat_2Erat),V39t1_2E0),s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Erat_2Erat),V38t2_2E0))))),s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Erat_2Erat),c_2Ecanonical_2ECons__monom_2E3(s(tyop_2Erat_2Erat,V42c2_2E0),s(tyop_2Elist_2Elist(tyop_2Equote_2Eindex),V40l2_2E0),s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Erat_2Erat),c_2EratRing_2Erat__r__canonical__sum__merge_2E2(s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Erat_2Erat),c_2Ecanonical_2ECons__varlist_2E2(s(tyop_2Elist_2Elist(tyop_2Equote_2Eindex),V41l1_2E0),s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Erat_2Erat),V39t1_2E0))),s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Erat_2Erat),V38t2_2E0)))))))) & (![V43t2_2E0, V44t1_2E0, V45l2_2E0, V46l1_2E0]: (s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Erat_2Erat),c_2EratRing_2Erat__r__canonical__sum__merge_2E2(s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Erat_2Erat),c_2Ecanonical_2ECons__varlist_2E2(s(tyop_2Elist_2Elist(tyop_2Equote_2Eindex),V46l1_2E0),s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Erat_2Erat),V44t1_2E0))),s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Erat_2Erat),c_2Ecanonical_2ECons__varlist_2E2(s(tyop_2Elist_2Elist(tyop_2Equote_2Eindex),V45l2_2E0),s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Erat_2Erat),V43t2_2E0))))) = s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Erat_2Erat),c_2EternaryComparisons_2Eordering__CASE_2E4(s(tyop_2EternaryComparisons_2Eordering,c_2EternaryComparisons_2Elist__compare_2E3(s(tyop_2Emin_2Efun(tyop_2Equote_2Eindex,tyop_2Emin_2Efun(tyop_2Equote_2Eindex,tyop_2EternaryComparisons_2Eordering)),c_2Equote_2Eindex__compare_2E0),s(tyop_2Elist_2Elist(tyop_2Equote_2Eindex),V46l1_2E0),s(tyop_2Elist_2Elist(tyop_2Equote_2Eindex),V45l2_2E0))),s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Erat_2Erat),c_2Ecanonical_2ECons__varlist_2E2(s(tyop_2Elist_2Elist(tyop_2Equote_2Eindex),V46l1_2E0),s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Erat_2Erat),c_2EratRing_2Erat__r__canonical__sum__merge_2E2(s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Erat_2Erat),V44t1_2E0),s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Erat_2Erat),c_2Ecanonical_2ECons__varlist_2E2(s(tyop_2Elist_2Elist(tyop_2Equote_2Eindex),V45l2_2E0),s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Erat_2Erat),V43t2_2E0))))))),s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Erat_2Erat),c_2Ecanonical_2ECons__monom_2E3(s(tyop_2Erat_2Erat,c_2Erat_2Erat__add_2E2(s(tyop_2Erat_2Erat,c_2Erat_2Erat__of__num_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2ENUMERAL_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT1_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EZERO_2E0))))))),s(tyop_2Erat_2Erat,c_2Erat_2Erat__of__num_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2ENUMERAL_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT1_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EZERO_2E0))))))))),s(tyop_2Elist_2Elist(tyop_2Equote_2Eindex),V46l1_2E0),s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Erat_2Erat),c_2EratRing_2Erat__r__canonical__sum__merge_2E2(s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Erat_2Erat),V44t1_2E0),s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Erat_2Erat),V43t2_2E0))))),s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Erat_2Erat),c_2Ecanonical_2ECons__varlist_2E2(s(tyop_2Elist_2Elist(tyop_2Equote_2Eindex),V45l2_2E0),s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Erat_2Erat),c_2EratRing_2Erat__r__canonical__sum__merge_2E2(s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Erat_2Erat),c_2Ecanonical_2ECons__varlist_2E2(s(tyop_2Elist_2Elist(tyop_2Equote_2Eindex),V46l1_2E0),s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Erat_2Erat),V44t1_2E0))),s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Erat_2Erat),V43t2_2E0)))))))) & (![V47s1_2E0]: (s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Erat_2Erat),c_2EratRing_2Erat__r__canonical__sum__merge_2E2(s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Erat_2Erat),V47s1_2E0),s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Erat_2Erat),c_2Ecanonical_2ENil__monom_2E0))) = s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Erat_2Erat),V47s1_2E0)) & (![V48v6_2E0, V49v5_2E0, V50v4_2E0]: (s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Erat_2Erat),c_2EratRing_2Erat__r__canonical__sum__merge_2E2(s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Erat_2Erat),c_2Ecanonical_2ENil__monom_2E0),s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Erat_2Erat),c_2Ecanonical_2ECons__monom_2E3(s(tyop_2Erat_2Erat,V50v4_2E0),s(tyop_2Elist_2Elist(tyop_2Equote_2Eindex),V49v5_2E0),s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Erat_2Erat),V48v6_2E0))))) = s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Erat_2Erat),c_2Ecanonical_2ECons__monom_2E3(s(tyop_2Erat_2Erat,V50v4_2E0),s(tyop_2Elist_2Elist(tyop_2Equote_2Eindex),V49v5_2E0),s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Erat_2Erat),V48v6_2E0)))) & ![V51v8_2E0, V52v7_2E0]: (s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Erat_2Erat),c_2EratRing_2Erat__r__canonical__sum__merge_2E2(s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Erat_2Erat),c_2Ecanonical_2ENil__monom_2E0),s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Erat_2Erat),c_2Ecanonical_2ECons__varlist_2E2(s(tyop_2Elist_2Elist(tyop_2Equote_2Eindex),V52v7_2E0),s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Erat_2Erat),V51v8_2E0))))) = s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Erat_2Erat),c_2Ecanonical_2ECons__varlist_2E2(s(tyop_2Elist_2Elist(tyop_2Equote_2Eindex),V52v7_2E0),s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Erat_2Erat),V51v8_2E0)))))))))) & ((![V53t2_2E0, V54l2_2E0, V55l1_2E0, V56c2_2E0, V57c1_2E0]: (s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Erat_2Erat),c_2EratRing_2Erat__r__monom__insert_2E3(s(tyop_2Erat_2Erat,V57c1_2E0),s(tyop_2Elist_2Elist(tyop_2Equote_2Eindex),V55l1_2E0),s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Erat_2Erat),c_2Ecanonical_2ECons__monom_2E3(s(tyop_2Erat_2Erat,V56c2_2E0),s(tyop_2Elist_2Elist(tyop_2Equote_2Eindex),V54l2_2E0),s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Erat_2Erat),V53t2_2E0))))) = s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Erat_2Erat),c_2EternaryComparisons_2Eordering__CASE_2E4(s(tyop_2EternaryComparisons_2Eordering,c_2EternaryComparisons_2Elist__compare_2E3(s(tyop_2Emin_2Efun(tyop_2Equote_2Eindex,tyop_2Emin_2Efun(tyop_2Equote_2Eindex,tyop_2EternaryComparisons_2Eordering)),c_2Equote_2Eindex__compare_2E0),s(tyop_2Elist_2Elist(tyop_2Equote_2Eindex),V55l1_2E0),s(tyop_2Elist_2Elist(tyop_2Equote_2Eindex),V54l2_2E0))),s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Erat_2Erat),c_2Ecanonical_2ECons__monom_2E3(s(tyop_2Erat_2Erat,V57c1_2E0),s(tyop_2Elist_2Elist(tyop_2Equote_2Eindex),V55l1_2E0),s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Erat_2Erat),c_2Ecanonical_2ECons__monom_2E3(s(tyop_2Erat_2Erat,V56c2_2E0),s(tyop_2Elist_2Elist(tyop_2Equote_2Eindex),V54l2_2E0),s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Erat_2Erat),V53t2_2E0))))),s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Erat_2Erat),c_2Ecanonical_2ECons__monom_2E3(s(tyop_2Erat_2Erat,c_2Erat_2Erat__add_2E2(s(tyop_2Erat_2Erat,V57c1_2E0),s(tyop_2Erat_2Erat,V56c2_2E0))),s(tyop_2Elist_2Elist(tyop_2Equote_2Eindex),V55l1_2E0),s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Erat_2Erat),V53t2_2E0))),s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Erat_2Erat),c_2Ecanonical_2ECons__monom_2E3(s(tyop_2Erat_2Erat,V56c2_2E0),s(tyop_2Elist_2Elist(tyop_2Equote_2Eindex),V54l2_2E0),s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Erat_2Erat),c_2EratRing_2Erat__r__monom__insert_2E3(s(tyop_2Erat_2Erat,V57c1_2E0),s(tyop_2Elist_2Elist(tyop_2Equote_2Eindex),V55l1_2E0),s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Erat_2Erat),V53t2_2E0)))))))) & (![V58t2_2E0, V59l2_2E0, V60l1_2E0, V61c1_2E0]: (s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Erat_2Erat),c_2EratRing_2Erat__r__monom__insert_2E3(s(tyop_2Erat_2Erat,V61c1_2E0),s(tyop_2Elist_2Elist(tyop_2Equote_2Eindex),V60l1_2E0),s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Erat_2Erat),c_2Ecanonical_2ECons__varlist_2E2(s(tyop_2Elist_2Elist(tyop_2Equote_2Eindex),V59l2_2E0),s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Erat_2Erat),V58t2_2E0))))) = s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Erat_2Erat),c_2EternaryComparisons_2Eordering__CASE_2E4(s(tyop_2EternaryComparisons_2Eordering,c_2EternaryComparisons_2Elist__compare_2E3(s(tyop_2Emin_2Efun(tyop_2Equote_2Eindex,tyop_2Emin_2Efun(tyop_2Equote_2Eindex,tyop_2EternaryComparisons_2Eordering)),c_2Equote_2Eindex__compare_2E0),s(tyop_2Elist_2Elist(tyop_2Equote_2Eindex),V60l1_2E0),s(tyop_2Elist_2Elist(tyop_2Equote_2Eindex),V59l2_2E0))),s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Erat_2Erat),c_2Ecanonical_2ECons__monom_2E3(s(tyop_2Erat_2Erat,V61c1_2E0),s(tyop_2Elist_2Elist(tyop_2Equote_2Eindex),V60l1_2E0),s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Erat_2Erat),c_2Ecanonical_2ECons__varlist_2E2(s(tyop_2Elist_2Elist(tyop_2Equote_2Eindex),V59l2_2E0),s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Erat_2Erat),V58t2_2E0))))),s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Erat_2Erat),c_2Ecanonical_2ECons__monom_2E3(s(tyop_2Erat_2Erat,c_2Erat_2Erat__add_2E2(s(tyop_2Erat_2Erat,V61c1_2E0),s(tyop_2Erat_2Erat,c_2Erat_2Erat__of__num_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2ENUMERAL_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT1_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EZERO_2E0))))))))),s(tyop_2Elist_2Elist(tyop_2Equote_2Eindex),V60l1_2E0),s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Erat_2Erat),V58t2_2E0))),s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Erat_2Erat),c_2Ecanonical_2ECons__varlist_2E2(s(tyop_2Elist_2Elist(tyop_2Equote_2Eindex),V59l2_2E0),s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Erat_2Erat),c_2EratRing_2Erat__r__monom__insert_2E3(s(tyop_2Erat_2Erat,V61c1_2E0),s(tyop_2Elist_2Elist(tyop_2Equote_2Eindex),V60l1_2E0),s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Erat_2Erat),V58t2_2E0)))))))) & ![V62l1_2E0, V63c1_2E0]: (s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Erat_2Erat),c_2EratRing_2Erat__r__monom__insert_2E3(s(tyop_2Erat_2Erat,V63c1_2E0),s(tyop_2Elist_2Elist(tyop_2Equote_2Eindex),V62l1_2E0),s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Erat_2Erat),c_2Ecanonical_2ENil__monom_2E0))) = s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Erat_2Erat),c_2Ecanonical_2ECons__monom_2E3(s(tyop_2Erat_2Erat,V63c1_2E0),s(tyop_2Elist_2Elist(tyop_2Equote_2Eindex),V62l1_2E0),s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Erat_2Erat),c_2Ecanonical_2ENil__monom_2E0)))))) & ((![V64t2_2E0, V65l2_2E0, V66l1_2E0, V67c2_2E0]: (s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Erat_2Erat),c_2EratRing_2Erat__r__varlist__insert_2E2(s(tyop_2Elist_2Elist(tyop_2Equote_2Eindex),V66l1_2E0),s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Erat_2Erat),c_2Ecanonical_2ECons__monom_2E3(s(tyop_2Erat_2Erat,V67c2_2E0),s(tyop_2Elist_2Elist(tyop_2Equote_2Eindex),V65l2_2E0),s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Erat_2Erat),V64t2_2E0))))) = s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Erat_2Erat),c_2EternaryComparisons_2Eordering__CASE_2E4(s(tyop_2EternaryComparisons_2Eordering,c_2EternaryComparisons_2Elist__compare_2E3(s(tyop_2Emin_2Efun(tyop_2Equote_2Eindex,tyop_2Emin_2Efun(tyop_2Equote_2Eindex,tyop_2EternaryComparisons_2Eordering)),c_2Equote_2Eindex__compare_2E0),s(tyop_2Elist_2Elist(tyop_2Equote_2Eindex),V66l1_2E0),s(tyop_2Elist_2Elist(tyop_2Equote_2Eindex),V65l2_2E0))),s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Erat_2Erat),c_2Ecanonical_2ECons__varlist_2E2(s(tyop_2Elist_2Elist(tyop_2Equote_2Eindex),V66l1_2E0),s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Erat_2Erat),c_2Ecanonical_2ECons__monom_2E3(s(tyop_2Erat_2Erat,V67c2_2E0),s(tyop_2Elist_2Elist(tyop_2Equote_2Eindex),V65l2_2E0),s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Erat_2Erat),V64t2_2E0))))),s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Erat_2Erat),c_2Ecanonical_2ECons__monom_2E3(s(tyop_2Erat_2Erat,c_2Erat_2Erat__add_2E2(s(tyop_2Erat_2Erat,c_2Erat_2Erat__of__num_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2ENUMERAL_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT1_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EZERO_2E0))))))),s(tyop_2Erat_2Erat,V67c2_2E0))),s(tyop_2Elist_2Elist(tyop_2Equote_2Eindex),V66l1_2E0),s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Erat_2Erat),V64t2_2E0))),s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Erat_2Erat),c_2Ecanonical_2ECons__monom_2E3(s(tyop_2Erat_2Erat,V67c2_2E0),s(tyop_2Elist_2Elist(tyop_2Equote_2Eindex),V65l2_2E0),s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Erat_2Erat),c_2EratRing_2Erat__r__varlist__insert_2E2(s(tyop_2Elist_2Elist(tyop_2Equote_2Eindex),V66l1_2E0),s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Erat_2Erat),V64t2_2E0)))))))) & (![V68t2_2E0, V69l2_2E0, V70l1_2E0]: (s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Erat_2Erat),c_2EratRing_2Erat__r__varlist__insert_2E2(s(tyop_2Elist_2Elist(tyop_2Equote_2Eindex),V70l1_2E0),s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Erat_2Erat),c_2Ecanonical_2ECons__varlist_2E2(s(tyop_2Elist_2Elist(tyop_2Equote_2Eindex),V69l2_2E0),s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Erat_2Erat),V68t2_2E0))))) = s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Erat_2Erat),c_2EternaryComparisons_2Eordering__CASE_2E4(s(tyop_2EternaryComparisons_2Eordering,c_2EternaryComparisons_2Elist__compare_2E3(s(tyop_2Emin_2Efun(tyop_2Equote_2Eindex,tyop_2Emin_2Efun(tyop_2Equote_2Eindex,tyop_2EternaryComparisons_2Eordering)),c_2Equote_2Eindex__compare_2E0),s(tyop_2Elist_2Elist(tyop_2Equote_2Eindex),V70l1_2E0),s(tyop_2Elist_2Elist(tyop_2Equote_2Eindex),V69l2_2E0))),s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Erat_2Erat),c_2Ecanonical_2ECons__varlist_2E2(s(tyop_2Elist_2Elist(tyop_2Equote_2Eindex),V70l1_2E0),s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Erat_2Erat),c_2Ecanonical_2ECons__varlist_2E2(s(tyop_2Elist_2Elist(tyop_2Equote_2Eindex),V69l2_2E0),s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Erat_2Erat),V68t2_2E0))))),s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Erat_2Erat),c_2Ecanonical_2ECons__monom_2E3(s(tyop_2Erat_2Erat,c_2Erat_2Erat__add_2E2(s(tyop_2Erat_2Erat,c_2Erat_2Erat__of__num_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2ENUMERAL_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT1_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EZERO_2E0))))))),s(tyop_2Erat_2Erat,c_2Erat_2Erat__of__num_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2ENUMERAL_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT1_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EZERO_2E0))))))))),s(tyop_2Elist_2Elist(tyop_2Equote_2Eindex),V70l1_2E0),s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Erat_2Erat),V68t2_2E0))),s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Erat_2Erat),c_2Ecanonical_2ECons__varlist_2E2(s(tyop_2Elist_2Elist(tyop_2Equote_2Eindex),V69l2_2E0),s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Erat_2Erat),c_2EratRing_2Erat__r__varlist__insert_2E2(s(tyop_2Elist_2Elist(tyop_2Equote_2Eindex),V70l1_2E0),s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Erat_2Erat),V68t2_2E0)))))))) & ![V71l1_2E0]: (s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Erat_2Erat),c_2EratRing_2Erat__r__varlist__insert_2E2(s(tyop_2Elist_2Elist(tyop_2Equote_2Eindex),V71l1_2E0),s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Erat_2Erat),c_2Ecanonical_2ENil__monom_2E0))) = s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Erat_2Erat),c_2Ecanonical_2ECons__varlist_2E2(s(tyop_2Elist_2Elist(tyop_2Equote_2Eindex),V71l1_2E0),s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Erat_2Erat),c_2Ecanonical_2ENil__monom_2E0)))))) & ((![V72c0_2E0, V73c_2E0, V74l_2E0, V75t_2E0]: (s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Erat_2Erat),c_2EratRing_2Erat__r__canonical__sum__scalar_2E2(s(tyop_2Erat_2Erat,V72c0_2E0),s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Erat_2Erat),c_2Ecanonical_2ECons__monom_2E3(s(tyop_2Erat_2Erat,V73c_2E0),s(tyop_2Elist_2Elist(tyop_2Equote_2Eindex),V74l_2E0),s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Erat_2Erat),V75t_2E0))))) = s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Erat_2Erat),c_2Ecanonical_2ECons__monom_2E3(s(tyop_2Erat_2Erat,c_2Erat_2Erat__mul_2E2(s(tyop_2Erat_2Erat,V72c0_2E0),s(tyop_2Erat_2Erat,V73c_2E0))),s(tyop_2Elist_2Elist(tyop_2Equote_2Eindex),V74l_2E0),s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Erat_2Erat),c_2EratRing_2Erat__r__canonical__sum__scalar_2E2(s(tyop_2Erat_2Erat,V72c0_2E0),s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Erat_2Erat),V75t_2E0)))))) & (![V76c0_2E0, V77l_2E0, V78t_2E0]: (s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Erat_2Erat),c_2EratRing_2Erat__r__canonical__sum__scalar_2E2(s(tyop_2Erat_2Erat,V76c0_2E0),s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Erat_2Erat),c_2Ecanonical_2ECons__varlist_2E2(s(tyop_2Elist_2Elist(tyop_2Equote_2Eindex),V77l_2E0),s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Erat_2Erat),V78t_2E0))))) = s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Erat_2Erat),c_2Ecanonical_2ECons__monom_2E3(s(tyop_2Erat_2Erat,V76c0_2E0),s(tyop_2Elist_2Elist(tyop_2Equote_2Eindex),V77l_2E0),s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Erat_2Erat),c_2EratRing_2Erat__r__canonical__sum__scalar_2E2(s(tyop_2Erat_2Erat,V76c0_2E0),s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Erat_2Erat),V78t_2E0)))))) & ![V79c0_2E0]: (s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Erat_2Erat),c_2EratRing_2Erat__r__canonical__sum__scalar_2E2(s(tyop_2Erat_2Erat,V79c0_2E0),s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Erat_2Erat),c_2Ecanonical_2ENil__monom_2E0))) = s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Erat_2Erat),c_2Ecanonical_2ENil__monom_2E0)))) & ((![V80l0_2E0, V81c_2E0, V82l_2E0, V83t_2E0]: (s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Erat_2Erat),c_2EratRing_2Erat__r__canonical__sum__scalar2_2E2(s(tyop_2Elist_2Elist(tyop_2Equote_2Eindex),V80l0_2E0),s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Erat_2Erat),c_2Ecanonical_2ECons__monom_2E3(s(tyop_2Erat_2Erat,V81c_2E0),s(tyop_2Elist_2Elist(tyop_2Equote_2Eindex),V82l_2E0),s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Erat_2Erat),V83t_2E0))))) = s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Erat_2Erat),c_2EratRing_2Erat__r__monom__insert_2E3(s(tyop_2Erat_2Erat,V81c_2E0),s(tyop_2Elist_2Elist(tyop_2Equote_2Eindex),c_2EternaryComparisons_2Elist__merge_2E3(s(tyop_2Emin_2Efun(tyop_2Equote_2Eindex,tyop_2Emin_2Efun(tyop_2Equote_2Eindex,tyop_2Emin_2Ebool)),c_2Equote_2Eindex__lt_2E0),s(tyop_2Elist_2Elist(tyop_2Equote_2Eindex),V80l0_2E0),s(tyop_2Elist_2Elist(tyop_2Equote_2Eindex),V82l_2E0))),s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Erat_2Erat),c_2EratRing_2Erat__r__canonical__sum__scalar2_2E2(s(tyop_2Elist_2Elist(tyop_2Equote_2Eindex),V80l0_2E0),s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Erat_2Erat),V83t_2E0)))))) & (![V84l0_2E0, V85l_2E0, V86t_2E0]: (s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Erat_2Erat),c_2EratRing_2Erat__r__canonical__sum__scalar2_2E2(s(tyop_2Elist_2Elist(tyop_2Equote_2Eindex),V84l0_2E0),s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Erat_2Erat),c_2Ecanonical_2ECons__varlist_2E2(s(tyop_2Elist_2Elist(tyop_2Equote_2Eindex),V85l_2E0),s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Erat_2Erat),V86t_2E0))))) = s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Erat_2Erat),c_2EratRing_2Erat__r__varlist__insert_2E2(s(tyop_2Elist_2Elist(tyop_2Equote_2Eindex),c_2EternaryComparisons_2Elist__merge_2E3(s(tyop_2Emin_2Efun(tyop_2Equote_2Eindex,tyop_2Emin_2Efun(tyop_2Equote_2Eindex,tyop_2Emin_2Ebool)),c_2Equote_2Eindex__lt_2E0),s(tyop_2Elist_2Elist(tyop_2Equote_2Eindex),V84l0_2E0),s(tyop_2Elist_2Elist(tyop_2Equote_2Eindex),V85l_2E0))),s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Erat_2Erat),c_2EratRing_2Erat__r__canonical__sum__scalar2_2E2(s(tyop_2Elist_2Elist(tyop_2Equote_2Eindex),V84l0_2E0),s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Erat_2Erat),V86t_2E0)))))) & ![V87l0_2E0]: (s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Erat_2Erat),c_2EratRing_2Erat__r__canonical__sum__scalar2_2E2(s(tyop_2Elist_2Elist(tyop_2Equote_2Eindex),V87l0_2E0),s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Erat_2Erat),c_2Ecanonical_2ENil__monom_2E0))) = s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Erat_2Erat),c_2Ecanonical_2ENil__monom_2E0)))) & ((![V88c0_2E0, V89l0_2E0, V90c_2E0, V91l_2E0, V92t_2E0]: (s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Erat_2Erat),c_2EratRing_2Erat__r__canonical__sum__scalar3_2E3(s(tyop_2Erat_2Erat,V88c0_2E0),s(tyop_2Elist_2Elist(tyop_2Equote_2Eindex),V89l0_2E0),s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Erat_2Erat),c_2Ecanonical_2ECons__monom_2E3(s(tyop_2Erat_2Erat,V90c_2E0),s(tyop_2Elist_2Elist(tyop_2Equote_2Eindex),V91l_2E0),s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Erat_2Erat),V92t_2E0))))) = s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Erat_2Erat),c_2EratRing_2Erat__r__monom__insert_2E3(s(tyop_2Erat_2Erat,c_2Erat_2Erat__mul_2E2(s(tyop_2Erat_2Erat,V88c0_2E0),s(tyop_2Erat_2Erat,V90c_2E0))),s(tyop_2Elist_2Elist(tyop_2Equote_2Eindex),c_2EternaryComparisons_2Elist__merge_2E3(s(tyop_2Emin_2Efun(tyop_2Equote_2Eindex,tyop_2Emin_2Efun(tyop_2Equote_2Eindex,tyop_2Emin_2Ebool)),c_2Equote_2Eindex__lt_2E0),s(tyop_2Elist_2Elist(tyop_2Equote_2Eindex),V89l0_2E0),s(tyop_2Elist_2Elist(tyop_2Equote_2Eindex),V91l_2E0))),s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Erat_2Erat),c_2EratRing_2Erat__r__canonical__sum__scalar3_2E3(s(tyop_2Erat_2Erat,V88c0_2E0),s(tyop_2Elist_2Elist(tyop_2Equote_2Eindex),V89l0_2E0),s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Erat_2Erat),V92t_2E0)))))) & (![V93c0_2E0, V94l0_2E0, V95l_2E0, V96t_2E0]: (s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Erat_2Erat),c_2EratRing_2Erat__r__canonical__sum__scalar3_2E3(s(tyop_2Erat_2Erat,V93c0_2E0),s(tyop_2Elist_2Elist(tyop_2Equote_2Eindex),V94l0_2E0),s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Erat_2Erat),c_2Ecanonical_2ECons__varlist_2E2(s(tyop_2Elist_2Elist(tyop_2Equote_2Eindex),V95l_2E0),s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Erat_2Erat),V96t_2E0))))) = s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Erat_2Erat),c_2EratRing_2Erat__r__monom__insert_2E3(s(tyop_2Erat_2Erat,V93c0_2E0),s(tyop_2Elist_2Elist(tyop_2Equote_2Eindex),c_2EternaryComparisons_2Elist__merge_2E3(s(tyop_2Emin_2Efun(tyop_2Equote_2Eindex,tyop_2Emin_2Efun(tyop_2Equote_2Eindex,tyop_2Emin_2Ebool)),c_2Equote_2Eindex__lt_2E0),s(tyop_2Elist_2Elist(tyop_2Equote_2Eindex),V94l0_2E0),s(tyop_2Elist_2Elist(tyop_2Equote_2Eindex),V95l_2E0))),s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Erat_2Erat),c_2EratRing_2Erat__r__canonical__sum__scalar3_2E3(s(tyop_2Erat_2Erat,V93c0_2E0),s(tyop_2Elist_2Elist(tyop_2Equote_2Eindex),V94l0_2E0),s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Erat_2Erat),V96t_2E0)))))) & ![V97c0_2E0, V98l0_2E0]: (s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Erat_2Erat),c_2EratRing_2Erat__r__canonical__sum__scalar3_2E3(s(tyop_2Erat_2Erat,V97c0_2E0),s(tyop_2Elist_2Elist(tyop_2Equote_2Eindex),V98l0_2E0),s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Erat_2Erat),c_2Ecanonical_2ENil__monom_2E0))) = s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Erat_2Erat),c_2Ecanonical_2ENil__monom_2E0)))) & ((![V99c1_2E0, V100l1_2E0, V101t1_2E0, V102s2_2E0]: (s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Erat_2Erat),c_2EratRing_2Erat__r__canonical__sum__prod_2E2(s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Erat_2Erat),c_2Ecanonical_2ECons__monom_2E3(s(tyop_2Erat_2Erat,V99c1_2E0),s(tyop_2Elist_2Elist(tyop_2Equote_2Eindex),V100l1_2E0),s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Erat_2Erat),V101t1_2E0))),s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Erat_2Erat),V102s2_2E0))) = s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Erat_2Erat),c_2EratRing_2Erat__r__canonical__sum__merge_2E2(s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Erat_2Erat),c_2EratRing_2Erat__r__canonical__sum__scalar3_2E3(s(tyop_2Erat_2Erat,V99c1_2E0),s(tyop_2Elist_2Elist(tyop_2Equote_2Eindex),V100l1_2E0),s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Erat_2Erat),V102s2_2E0))),s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Erat_2Erat),c_2EratRing_2Erat__r__canonical__sum__prod_2E2(s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Erat_2Erat),V101t1_2E0),s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Erat_2Erat),V102s2_2E0)))))) & (![V103l1_2E0, V104t1_2E0, V105s2_2E0]: (s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Erat_2Erat),c_2EratRing_2Erat__r__canonical__sum__prod_2E2(s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Erat_2Erat),c_2Ecanonical_2ECons__varlist_2E2(s(tyop_2Elist_2Elist(tyop_2Equote_2Eindex),V103l1_2E0),s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Erat_2Erat),V104t1_2E0))),s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Erat_2Erat),V105s2_2E0))) = s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Erat_2Erat),c_2EratRing_2Erat__r__canonical__sum__merge_2E2(s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Erat_2Erat),c_2EratRing_2Erat__r__canonical__sum__scalar2_2E2(s(tyop_2Elist_2Elist(tyop_2Equote_2Eindex),V103l1_2E0),s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Erat_2Erat),V105s2_2E0))),s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Erat_2Erat),c_2EratRing_2Erat__r__canonical__sum__prod_2E2(s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Erat_2Erat),V104t1_2E0),s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Erat_2Erat),V105s2_2E0)))))) & ![V106s2_2E0]: (s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Erat_2Erat),c_2EratRing_2Erat__r__canonical__sum__prod_2E2(s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Erat_2Erat),c_2Ecanonical_2ENil__monom_2E0),s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Erat_2Erat),V106s2_2E0))) = s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Erat_2Erat),c_2Ecanonical_2ENil__monom_2E0)))) & ((![V107c_2E0, V108l_2E0, V109t_2E0]: (s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Erat_2Erat),c_2EratRing_2Erat__r__canonical__sum__simplify_2E1(s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Erat_2Erat),c_2Ecanonical_2ECons__monom_2E3(s(tyop_2Erat_2Erat,V107c_2E0),s(tyop_2Elist_2Elist(tyop_2Equote_2Eindex),V108l_2E0),s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Erat_2Erat),V109t_2E0))))) = s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Erat_2Erat),c_2Ebool_2ECOND_2E3(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Erat_2Erat,tyop_2Emin_2Ebool),F1_2E0),s(tyop_2Erat_2Erat,V107c_2E0))),s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Erat_2Erat),c_2EratRing_2Erat__r__canonical__sum__simplify_2E1(s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Erat_2Erat),V109t_2E0))),s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Erat_2Erat),c_2Ebool_2ECOND_2E3(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Erat_2Erat,tyop_2Emin_2Ebool),F2_2E0),s(tyop_2Erat_2Erat,V107c_2E0))),s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Erat_2Erat),c_2Ecanonical_2ECons__varlist_2E2(s(tyop_2Elist_2Elist(tyop_2Equote_2Eindex),V108l_2E0),s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Erat_2Erat),c_2EratRing_2Erat__r__canonical__sum__simplify_2E1(s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Erat_2Erat),V109t_2E0))))),s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Erat_2Erat),c_2Ecanonical_2ECons__monom_2E3(s(tyop_2Erat_2Erat,V107c_2E0),s(tyop_2Elist_2Elist(tyop_2Equote_2Eindex),V108l_2E0),s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Erat_2Erat),c_2EratRing_2Erat__r__canonical__sum__simplify_2E1(s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Erat_2Erat),V109t_2E0)))))))))) & (![V110l_2E0, V111t_2E0]: (s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Erat_2Erat),c_2EratRing_2Erat__r__canonical__sum__simplify_2E1(s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Erat_2Erat),c_2Ecanonical_2ECons__varlist_2E2(s(tyop_2Elist_2Elist(tyop_2Equote_2Eindex),V110l_2E0),s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Erat_2Erat),V111t_2E0))))) = s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Erat_2Erat),c_2Ecanonical_2ECons__varlist_2E2(s(tyop_2Elist_2Elist(tyop_2Equote_2Eindex),V110l_2E0),s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Erat_2Erat),c_2EratRing_2Erat__r__canonical__sum__simplify_2E1(s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Erat_2Erat),V111t_2E0)))))) & (s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Erat_2Erat),c_2EratRing_2Erat__r__canonical__sum__simplify_2E1(s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Erat_2Erat),c_2Ecanonical_2ENil__monom_2E0))) = s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Erat_2Erat),c_2Ecanonical_2ENil__monom_2E0)))) & ((![V112vm_2E0, V113x_2E0]: (s(tyop_2Erat_2Erat,c_2EratRing_2Erat__r__ivl__aux_2E3(s(tyop_2Equote_2Evarmap(tyop_2Erat_2Erat),V112vm_2E0),s(tyop_2Equote_2Eindex,V113x_2E0),s(tyop_2Elist_2Elist(tyop_2Equote_2Eindex),c_2Elist_2ENIL_2E0))) = s(tyop_2Erat_2Erat,c_2Equote_2Evarmap__find_2E2(s(tyop_2Equote_2Eindex,V113x_2E0),s(tyop_2Equote_2Evarmap(tyop_2Erat_2Erat),V112vm_2E0)))) & ![V114vm_2E0, V115x_2E0, V116x_27_2E0, V117t_27_2E0]: (s(tyop_2Erat_2Erat,c_2EratRing_2Erat__r__ivl__aux_2E3(s(tyop_2Equote_2Evarmap(tyop_2Erat_2Erat),V114vm_2E0),s(tyop_2Equote_2Eindex,V115x_2E0),s(tyop_2Elist_2Elist(tyop_2Equote_2Eindex),c_2Elist_2ECONS_2E2(s(tyop_2Equote_2Eindex,V116x_27_2E0),s(tyop_2Elist_2Elist(tyop_2Equote_2Eindex),V117t_27_2E0))))) = s(tyop_2Erat_2Erat,c_2Erat_2Erat__mul_2E2(s(tyop_2Erat_2Erat,c_2Equote_2Evarmap__find_2E2(s(tyop_2Equote_2Eindex,V115x_2E0),s(tyop_2Equote_2Evarmap(tyop_2Erat_2Erat),V114vm_2E0))),s(tyop_2Erat_2Erat,c_2EratRing_2Erat__r__ivl__aux_2E3(s(tyop_2Equote_2Evarmap(tyop_2Erat_2Erat),V114vm_2E0),s(tyop_2Equote_2Eindex,V116x_27_2E0),s(tyop_2Elist_2Elist(tyop_2Equote_2Eindex),V117t_27_2E0))))))) & ((![V118vm_2E0]: (s(tyop_2Erat_2Erat,c_2EratRing_2Erat__r__interp__vl_2E2(s(tyop_2Equote_2Evarmap(tyop_2Erat_2Erat),V118vm_2E0),s(tyop_2Elist_2Elist(tyop_2Equote_2Eindex),c_2Elist_2ENIL_2E0))) = s(tyop_2Erat_2Erat,c_2Erat_2Erat__of__num_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2ENUMERAL_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT1_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EZERO_2E0)))))))) & ![V119vm_2E0, V120x_2E0, V121t_2E0]: (s(tyop_2Erat_2Erat,c_2EratRing_2Erat__r__interp__vl_2E2(s(tyop_2Equote_2Evarmap(tyop_2Erat_2Erat),V119vm_2E0),s(tyop_2Elist_2Elist(tyop_2Equote_2Eindex),c_2Elist_2ECONS_2E2(s(tyop_2Equote_2Eindex,V120x_2E0),s(tyop_2Elist_2Elist(tyop_2Equote_2Eindex),V121t_2E0))))) = s(tyop_2Erat_2Erat,c_2EratRing_2Erat__r__ivl__aux_2E3(s(tyop_2Equote_2Evarmap(tyop_2Erat_2Erat),V119vm_2E0),s(tyop_2Equote_2Eindex,V120x_2E0),s(tyop_2Elist_2Elist(tyop_2Equote_2Eindex),V121t_2E0))))) & ((![V122vm_2E0, V123c_2E0]: (s(tyop_2Erat_2Erat,c_2EratRing_2Erat__r__interp__m_2E3(s(tyop_2Equote_2Evarmap(tyop_2Erat_2Erat),V122vm_2E0),s(tyop_2Erat_2Erat,V123c_2E0),s(tyop_2Elist_2Elist(tyop_2Equote_2Eindex),c_2Elist_2ENIL_2E0))) = s(tyop_2Erat_2Erat,V123c_2E0)) & ![V124vm_2E0, V125c_2E0, V126x_2E0, V127t_2E0]: (s(tyop_2Erat_2Erat,c_2EratRing_2Erat__r__interp__m_2E3(s(tyop_2Equote_2Evarmap(tyop_2Erat_2Erat),V124vm_2E0),s(tyop_2Erat_2Erat,V125c_2E0),s(tyop_2Elist_2Elist(tyop_2Equote_2Eindex),c_2Elist_2ECONS_2E2(s(tyop_2Equote_2Eindex,V126x_2E0),s(tyop_2Elist_2Elist(tyop_2Equote_2Eindex),V127t_2E0))))) = s(tyop_2Erat_2Erat,c_2Erat_2Erat__mul_2E2(s(tyop_2Erat_2Erat,V125c_2E0),s(tyop_2Erat_2Erat,c_2EratRing_2Erat__r__ivl__aux_2E3(s(tyop_2Equote_2Evarmap(tyop_2Erat_2Erat),V124vm_2E0),s(tyop_2Equote_2Eindex,V126x_2E0),s(tyop_2Elist_2Elist(tyop_2Equote_2Eindex),V127t_2E0))))))) & ((![V128vm_2E0, V129a_2E0]: (s(tyop_2Erat_2Erat,c_2EratRing_2Erat__r__ics__aux_2E3(s(tyop_2Equote_2Evarmap(tyop_2Erat_2Erat),V128vm_2E0),s(tyop_2Erat_2Erat,V129a_2E0),s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Erat_2Erat),c_2Ecanonical_2ENil__monom_2E0))) = s(tyop_2Erat_2Erat,V129a_2E0)) & (![V130vm_2E0, V131a_2E0, V132l_2E0, V133t_2E0]: (s(tyop_2Erat_2Erat,c_2EratRing_2Erat__r__ics__aux_2E3(s(tyop_2Equote_2Evarmap(tyop_2Erat_2Erat),V130vm_2E0),s(tyop_2Erat_2Erat,V131a_2E0),s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Erat_2Erat),c_2Ecanonical_2ECons__varlist_2E2(s(tyop_2Elist_2Elist(tyop_2Equote_2Eindex),V132l_2E0),s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Erat_2Erat),V133t_2E0))))) = s(tyop_2Erat_2Erat,c_2Erat_2Erat__add_2E2(s(tyop_2Erat_2Erat,V131a_2E0),s(tyop_2Erat_2Erat,c_2EratRing_2Erat__r__ics__aux_2E3(s(tyop_2Equote_2Evarmap(tyop_2Erat_2Erat),V130vm_2E0),s(tyop_2Erat_2Erat,c_2EratRing_2Erat__r__interp__vl_2E2(s(tyop_2Equote_2Evarmap(tyop_2Erat_2Erat),V130vm_2E0),s(tyop_2Elist_2Elist(tyop_2Equote_2Eindex),V132l_2E0))),s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Erat_2Erat),V133t_2E0)))))) & ![V134vm_2E0, V135a_2E0, V136c_2E0, V137l_2E0, V138t_2E0]: (s(tyop_2Erat_2Erat,c_2EratRing_2Erat__r__ics__aux_2E3(s(tyop_2Equote_2Evarmap(tyop_2Erat_2Erat),V134vm_2E0),s(tyop_2Erat_2Erat,V135a_2E0),s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Erat_2Erat),c_2Ecanonical_2ECons__monom_2E3(s(tyop_2Erat_2Erat,V136c_2E0),s(tyop_2Elist_2Elist(tyop_2Equote_2Eindex),V137l_2E0),s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Erat_2Erat),V138t_2E0))))) = s(tyop_2Erat_2Erat,c_2Erat_2Erat__add_2E2(s(tyop_2Erat_2Erat,V135a_2E0),s(tyop_2Erat_2Erat,c_2EratRing_2Erat__r__ics__aux_2E3(s(tyop_2Equote_2Evarmap(tyop_2Erat_2Erat),V134vm_2E0),s(tyop_2Erat_2Erat,c_2EratRing_2Erat__r__interp__m_2E3(s(tyop_2Equote_2Evarmap(tyop_2Erat_2Erat),V134vm_2E0),s(tyop_2Erat_2Erat,V136c_2E0),s(tyop_2Elist_2Elist(tyop_2Equote_2Eindex),V137l_2E0))),s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Erat_2Erat),V138t_2E0)))))))) & ((![V139vm_2E0]: (s(tyop_2Erat_2Erat,c_2EratRing_2Erat__r__interp__cs_2E2(s(tyop_2Equote_2Evarmap(tyop_2Erat_2Erat),V139vm_2E0),s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Erat_2Erat),c_2Ecanonical_2ENil__monom_2E0))) = s(tyop_2Erat_2Erat,c_2Erat_2Erat__of__num_2E1(s(tyop_2Enum_2Enum,c_2Enum_2E0_2E0)))) & (![V140vm_2E0, V141l_2E0, V142t_2E0]: (s(tyop_2Erat_2Erat,c_2EratRing_2Erat__r__interp__cs_2E2(s(tyop_2Equote_2Evarmap(tyop_2Erat_2Erat),V140vm_2E0),s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Erat_2Erat),c_2Ecanonical_2ECons__varlist_2E2(s(tyop_2Elist_2Elist(tyop_2Equote_2Eindex),V141l_2E0),s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Erat_2Erat),V142t_2E0))))) = s(tyop_2Erat_2Erat,c_2EratRing_2Erat__r__ics__aux_2E3(s(tyop_2Equote_2Evarmap(tyop_2Erat_2Erat),V140vm_2E0),s(tyop_2Erat_2Erat,c_2EratRing_2Erat__r__interp__vl_2E2(s(tyop_2Equote_2Evarmap(tyop_2Erat_2Erat),V140vm_2E0),s(tyop_2Elist_2Elist(tyop_2Equote_2Eindex),V141l_2E0))),s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Erat_2Erat),V142t_2E0)))) & ![V143vm_2E0, V144c_2E0, V145l_2E0, V146t_2E0]: (s(tyop_2Erat_2Erat,c_2EratRing_2Erat__r__interp__cs_2E2(s(tyop_2Equote_2Evarmap(tyop_2Erat_2Erat),V143vm_2E0),s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Erat_2Erat),c_2Ecanonical_2ECons__monom_2E3(s(tyop_2Erat_2Erat,V144c_2E0),s(tyop_2Elist_2Elist(tyop_2Equote_2Eindex),V145l_2E0),s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Erat_2Erat),V146t_2E0))))) = s(tyop_2Erat_2Erat,c_2EratRing_2Erat__r__ics__aux_2E3(s(tyop_2Equote_2Evarmap(tyop_2Erat_2Erat),V143vm_2E0),s(tyop_2Erat_2Erat,c_2EratRing_2Erat__r__interp__m_2E3(s(tyop_2Equote_2Evarmap(tyop_2Erat_2Erat),V143vm_2E0),s(tyop_2Erat_2Erat,V144c_2E0),s(tyop_2Elist_2Elist(tyop_2Equote_2Eindex),V145l_2E0))),s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Erat_2Erat),V146t_2E0)))))) & ((![V147i_2E0]: (s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Erat_2Erat),c_2EratRing_2Erat__polynom__normalize_2E1(s(tyop_2EringNorm_2Epolynom(tyop_2Erat_2Erat),c_2EringNorm_2EPvar_2E1(s(tyop_2Equote_2Eindex,V147i_2E0))))) = s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Erat_2Erat),c_2Ecanonical_2ECons__varlist_2E2(s(tyop_2Elist_2Elist(tyop_2Equote_2Eindex),c_2Elist_2ECONS_2E2(s(tyop_2Equote_2Eindex,V147i_2E0),s(tyop_2Elist_2Elist(tyop_2Equote_2Eindex),c_2Elist_2ENIL_2E0))),s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Erat_2Erat),c_2Ecanonical_2ENil__monom_2E0)))) & (![V148c_2E0]: (s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Erat_2Erat),c_2EratRing_2Erat__polynom__normalize_2E1(s(tyop_2EringNorm_2Epolynom(tyop_2Erat_2Erat),c_2EringNorm_2EPconst_2E1(s(tyop_2Erat_2Erat,V148c_2E0))))) = s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Erat_2Erat),c_2Ecanonical_2ECons__monom_2E3(s(tyop_2Erat_2Erat,V148c_2E0),s(tyop_2Elist_2Elist(tyop_2Equote_2Eindex),c_2Elist_2ENIL_2E0),s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Erat_2Erat),c_2Ecanonical_2ENil__monom_2E0)))) & (![V149pl_2E0, V150pr_2E0]: (s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Erat_2Erat),c_2EratRing_2Erat__polynom__normalize_2E1(s(tyop_2EringNorm_2Epolynom(tyop_2Erat_2Erat),c_2EringNorm_2EPplus_2E2(s(tyop_2EringNorm_2Epolynom(tyop_2Erat_2Erat),V149pl_2E0),s(tyop_2EringNorm_2Epolynom(tyop_2Erat_2Erat),V150pr_2E0))))) = s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Erat_2Erat),c_2EratRing_2Erat__r__canonical__sum__merge_2E2(s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Erat_2Erat),c_2EratRing_2Erat__polynom__normalize_2E1(s(tyop_2EringNorm_2Epolynom(tyop_2Erat_2Erat),V149pl_2E0))),s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Erat_2Erat),c_2EratRing_2Erat__polynom__normalize_2E1(s(tyop_2EringNorm_2Epolynom(tyop_2Erat_2Erat),V150pr_2E0)))))) & (![V151pl_2E0, V152pr_2E0]: (s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Erat_2Erat),c_2EratRing_2Erat__polynom__normalize_2E1(s(tyop_2EringNorm_2Epolynom(tyop_2Erat_2Erat),c_2EringNorm_2EPmult_2E2(s(tyop_2EringNorm_2Epolynom(tyop_2Erat_2Erat),V151pl_2E0),s(tyop_2EringNorm_2Epolynom(tyop_2Erat_2Erat),V152pr_2E0))))) = s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Erat_2Erat),c_2EratRing_2Erat__r__canonical__sum__prod_2E2(s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Erat_2Erat),c_2EratRing_2Erat__polynom__normalize_2E1(s(tyop_2EringNorm_2Epolynom(tyop_2Erat_2Erat),V151pl_2E0))),s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Erat_2Erat),c_2EratRing_2Erat__polynom__normalize_2E1(s(tyop_2EringNorm_2Epolynom(tyop_2Erat_2Erat),V152pr_2E0)))))) & ![V153p_2E0]: (s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Erat_2Erat),c_2EratRing_2Erat__polynom__normalize_2E1(s(tyop_2EringNorm_2Epolynom(tyop_2Erat_2Erat),c_2EringNorm_2EPopp_2E1(s(tyop_2EringNorm_2Epolynom(tyop_2Erat_2Erat),V153p_2E0))))) = s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Erat_2Erat),c_2EratRing_2Erat__r__canonical__sum__scalar3_2E3(s(tyop_2Erat_2Erat,c_2Erat_2Erat__ainv_2E1(s(tyop_2Erat_2Erat,c_2Erat_2Erat__of__num_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2ENUMERAL_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT1_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EZERO_2E0))))))))),s(tyop_2Elist_2Elist(tyop_2Equote_2Eindex),c_2Elist_2ENIL_2E0),s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Erat_2Erat),c_2EratRing_2Erat__polynom__normalize_2E1(s(tyop_2EringNorm_2Epolynom(tyop_2Erat_2Erat),V153p_2E0)))))))))) & ![V154x_2E0]: (s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Erat_2Erat),c_2EratRing_2Erat__polynom__simplify_2E1(s(tyop_2EringNorm_2Epolynom(tyop_2Erat_2Erat),V154x_2E0))) = s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Erat_2Erat),c_2EratRing_2Erat__r__canonical__sum__simplify_2E1(s(tyop_2Ecanonical_2Ecanonical__sum(tyop_2Erat_2Erat),c_2EratRing_2Erat__polynom__normalize_2E1(s(tyop_2EringNorm_2Epolynom(tyop_2Erat_2Erat),V154x_2E0))))))))))))))))))))))))))).
