MvPolynomial š | CompOp | 1530 mathmath: MvPolynomial.pUnitAlgEquiv_symm_monomial, MvPolynomial.funext_iff, MvPolynomial.eval_indicator_apply_eq_one, MvPolynomial.joinā_rename, MvPolynomial.vanishingIdeal_anti_mono, AlgebraicGeometry.AffineSpace.map_Spec_map, MvPolynomial.aeval_sum, MvPolynomial.dvd_monomial_one_iff_exists, WittVector.bindā_frobeniusPoly_wittPolynomial, KaehlerDifferential.mvPolynomialBasis_apply, MvPowerSeries.WithPiTopology.tendsto_trunc_atTop, MvPolynomial.coeff_neg, MvPolynomial.support_sum, MonomialOrder.sPolynomial_leadingTerm_mul', MvPolynomial.degrees_neg, MvPolynomial.coe_C, Algebra.PreSubmersivePresentation.jacobiMatrix_naive, MvPolynomial.isJacobsonRing, MvPolynomial.support_mul, MvPolynomial.algHom_ext_iff, MonomialOrder.span_leadingTerm_sdiff_singleton_zero, MvPolynomial.map_bindā, MvPolynomial.vars_sum_of_disjoint, MvPolynomial.totalDegree_monomial, Algebra.Generators.aeval_val_surjective, AlgebraicGeometry.AffineSpace.map_toSpecMvPoly_assoc, MvPolynomial.cardinalMk_eq, MvPolynomial.mul_X_divMonomial, CommRingCat.HomTopology.mvPolynomialHomeomorph_apply_snd, MvPolynomial.radical_le_vanishingIdeal_zeroLocus, wittPolynomial_zmod_self, MvPolynomial.aeval_X_left, MvPolynomial.map_mapRange_eq_iff, MvPolynomial.map_comp_C, MvPolynomial.DirectSum.coeLinearMap_eq_dfinsuppSum, MvPolynomial.coeffs_add, MvPowerSeries.eq_iff_frequently_trunc'_eq, MvPolynomial.pUnitAlgEquiv_apply, MvPolynomial.evalāHom_X, MvPolynomial.toMvPowerSeries_uniformContinuous, MvPolynomial.exists_finset_rename, MonomialOrder.monic_X_sub_C, MvPolynomial.hom_C, MvPolynomial.weightedHomogeneousComponent_of_isWeightedHomogeneous_same, Polynomial.homogenize_map, MvPowerSeries.trunc'_trunc', MvPolynomial.support_finSuccEquiv, Algebra.PreSubmersivePresentation.cotangentComplexAux_apply, MvPolynomial.rTensor_apply_tmul_apply, MvPolynomial.degrees_monomial, AlgebraicGeometry.AffineSpace.isoOfIsAffine_inv, MvPolynomial.zero_divMonomial, Ideal.mem_span_iff_exists_isHomogeneous, WittVector.aeval_verschiebung_poly', MonomialOrder.degree_add_of_ne, MvPolynomial.rTensorAlgEquiv_apply, MvPolynomial.one_def, Algebra.Presentation.naive_toGenerators, MvPolynomial.mem_image_support_coeff_finSuccEquiv, MvPolynomial.mapEquiv_symm, MvPolynomial.scalarRTensor_apply_monomial_tmul, MvPolynomial.comapEquiv_symm_coe, MvPolynomial.homogeneousComponent_eq_zero', WeierstrassCurve.Projective.eval_polynomial, IntermediateField.instIsAlgClosureAlgebraicClosureSubtypeMemOfIsAlgebraic, Matrix.charpoly.univ_map_map, MvPolynomial.evalā_expand, MvPolynomial.isOpenMap_comap_C, MvPolynomial.universalFactorizationMap_comp_map, MvPolynomial.aeval_algebraMap_eq_zero_iff, MvPolynomial.isScalarTower_right, MonomialOrder.degree_monomial, MvPolynomial.coeff_X_mul', Algebra.PreSubmersivePresentation.ofHasCoeffs_map, MvPolynomial.expand_X, algebraicIndependent_iff_ker_eq_bot, MvPolynomial.IsSymmetric.map, Algebra.Generators.cotangentSpaceBasis_apply, MvPolynomial.IsWeightedHomogeneous.pderiv, AlgebraicGeometry.AffineSpace.toSpecMvPolyIntEquiv_symm_apply, MvPolynomial.instIsReduced, MvPolynomial.X_pow_eq_monomial, MvPolynomial.isEmptyRingEquiv_apply, WittVector.ghostComponent_apply, MvPolynomial.ker_map, MvPolynomial.map_leftInverse, aeval_wittPolynomial, AlgebraicGeometry.AffineSpace.SpecIso_hom_appTop, KaehlerDifferential.mvPolynomialBasis_repr_D_X, MvPolynomial.optionEquivLeft_C, MvPolynomial.rename_rename, MvPolynomial.iterToSum_sumToIter, Algebra.Generators.toAlgHom_ofComp_localizationAway, Polynomial.homogenize_smul, MvPolynomial.divMonomial_add_modMonomial, MvPowerSeries.trunc'_expand_trunc', MvPolynomial.optionEquivLeft_X_some, MonomialOrder.leadingCoeff_eq_zero_iff, MvPolynomial.evalāHom_monomial, MvPolynomial.aeval_X_left_apply, Polynomial.toPowerSeries_toMvPowerSeries, MvPolynomial.le_vanishingIdeal_zeroLocus, MvPolynomial.homogeneousComponent_mem, MvPolynomial.pUnitAlgEquiv_symm_apply, MvPolynomial.expand_eq_zero, WeierstrassCurve.Jacobian.baseChange_polynomialZ, MvPolynomial.support_monomial, Algebra.Presentation.localizationAway_relation, MvPolynomial.monomial_finsupp_sum_index, MvPolynomial.weightedHomogeneousSubmodule_mul, Ideal.span_pow_eq_map_homogeneousSubmodule, MvPolynomial.coeffs_mul_X, MvPolynomial.mul_def, MvPolynomial.natDegree_finSuccEquiv, StandardEtalePresentation.toPresentation_algebra_smul, MvPolynomial.totalDegree_X_pow, Ideal.span_eq_map_homogeneousSubmodule, MvPolynomial.bindā_comp_C, AlgebraicIndependent.mvPolynomialOptionEquivPolynomialAdjoin_C, MvPolynomial.evalā_zero'_apply, MvPolynomial.image_comap_C_basicOpen, MvPolynomial.degreeOf_C, WeierstrassCurve.Projective.polynomial_relation, Matrix.toMvPolynomial_add, MvPolynomial.algHom_ext'_iff, IntermediateField.mem_adjoin_iff, AlgebraicIndependent.repr_ker, MonomialOrder.leadingCoeff_mul_of_isRegular_right, MvPolynomial.mem_range_map_iff_coeffs_subset, CommRingCat.free_obj_coe, MvPowerSeries.evalāHom_eq_extend, MvPolynomial.aeval_X, MvPolynomial.comapEquiv_coe, MvPolynomial.vars_sub_of_disjoint, MvPolynomial.exists_dvd_map_of_isAlgebraic, Polynomial.pUnitAlgEquiv_symm_toPowerSeries, MvPolynomial.scalarRTensor_apply_X_tmul_apply, MvPowerSeries.ext_trunc', MvPolynomial.smul_monomial, MvPolynomial.evalā_pow, AlgebraicIndependent.aeval_comp_mvPolynomialOptionEquivPolynomialAdjoin, MonomialOrder.leadingCoeff_mul, MonomialOrder.degree_sub_le, Algebra.PreSubmersivePresentation.cotangentComplexAux_zero_iff, AnalyticOnNhd.eval_linearMap', MvPolynomial.IsWeightedHomogeneous.weightedHomogeneousComponent_same, MvPolynomial.optionEquivLeft_apply, MvPolynomial.instIsScalarTower, MvPolynomial.bindā_C_left, MvPolynomial.totalDegree_coeff_finSuccEquiv_add_le, MvPolynomial.map_comp_rename, MvPolynomial.ACounit_X, WittVector.mul_polyOfInterest_aux2, MvPolynomial.prime_rename_iff, bindā_xInTermsOfW_wittPolynomial, WeierstrassCurve.Jacobian.eval_polynomialY, MvPolynomial.constantCoeff_rename, MvPolynomial.instSmall, MvPolynomial.evalā_prod, Algebra.PreSubmersivePresentation.jacobiMatrix_reindex, MvPolynomial.map_bindā, MvPolynomial.iterToSum_C_X, AlgebraicClosure.maxIdeal.isMaximal, MvPolynomial.map_evalā, MvPolynomial.eval_map, CommRingCat.free_map_coe, Algebra.FinitePresentation.mvPolynomial_of_finitePresentation, Algebra.SubmersivePresentation.ofSubsingleton_algebra_algebraMap, MvPolynomial.killCompl_comp_rename, MvPolynomial.map_evalāHom, MvPolynomial.supportedEquivMvPolynomial_symm_X, MvPolynomial.pderiv_one, MvPolynomial.mkDerivation_X, MvPolynomial.pderiv_mul, char_dvd_card_solutions_of_add_lt, MvPolynomial.comp_evalāHom, MvPolynomial.ACounit_surjective, MvPolynomial.supported_eq_adjoin_X, MvPolynomial.evalā_zero, MvPolynomial.toMvPowerSeries_isUniformInducing, MvPolynomial.degreeOf_mul_le, MvPolynomial.degreeOf_sum_le, MvPolynomial.aeval_eq_eval, MvPolynomial.schwartz_zippel_totalDegree, MvPolynomial.aeval_ite_mem_eq_self, MvPolynomial.support_sdiff_support_subset_support_add, Algebra.SubmersivePresentation.map_jacobianOfHasCoeffs, MvPolynomial.IsWeightedHomogeneous.mul, MvPolynomial.evalāHom_C_id_eq_joinā, MvPolynomial.eval_mem, PolynomialLaw.exists_lift', MvPolynomial.totalDegree_add_eq_right_of_totalDegree_lt, MvPolynomial.pow_idealOfVars, MvPolynomial.joinā_comp_map, MvPolynomial.comap_id, MvPolynomial.eval_rename_prod_mk, MvPolynomial.optionEquivRight_C, MvPolynomial.monomial_zero, MvPolynomial.map_mvPolynomial_eq_evalā, Polynomial.Bivariate.Polynomial.Bivariate.pderiv_one_equivMvPolynomial, MvPolynomial.eval_evalā, MvPolynomial.aevalTower_comp_C, MvPolynomial.rename_msymm, MvPolynomial.comap_comp_apply, MvPolynomial.evalā_id, MvPolynomial.evalāHom_C_eq_bindā, MvPolynomial.sum_antidiagonal_card_esymm_psum_eq_zero, MvPolynomial.X_mul_cancel_right_iff, Algebra.PreSubmersivePresentation.ofHasCoeffs_relation, MvPolynomial.degreeOf_coeff_finSuccEquiv, MvPolynomial.mem_pow_idealOfVars_iff, MvPolynomial.X_prime, MvPolynomial.rename_id_apply, MvPolynomial.constantCoeff_C, MvPowerSeries.trunc_C, MvPolynomial.map_map, MvPolynomial.support_eq_empty, MvPolynomial.evalāHom_comp_bindā, MvPolynomial.coe_one, MvPolynomial.nonempty_support_finSuccEquiv, Algebra.Generators.cotangentSpaceBasis_repr_one_tmul, MvPolynomial.pderiv_rename, Algebra.Presentation.comp_relation_inr, MvPolynomial.monomial_eq_monomial_iff, LinearMap.nilRankAux_basis_indep, MonomialOrder.leadingTerm_zero, MvPolynomial.evalā_mul_monomial, MvPolynomial.weightedHomogeneousComponent_zero, AlgebraicIndependent.aeval_comp_repr, MonomialOrder.div_single, MvPolynomial.esymmAlgHomMonomial_single, MvPolynomial.homogeneousComponent_C_mul, MvPolynomial.IsHomogeneous.map, MvPolynomial.map_expand, MonomialOrder.image_leadingTerm_sdiff_singleton_zero, MvPolynomial.map_aeval, MvPolynomial.instFree, MvPolynomial.map_frobenius_expand, MvPolynomial.coeffs_one, MvPolynomial.renameEquiv_trans, MvPolynomial.weightedDecomposition.decompose'_apply, FirstOrder.Ring.lift_genericPolyMap, MvPolynomial.faithfulSMul, MvPolynomial.coeffs_one_of_nontrivial, MvPolynomial.expand_monomial, AlgebraicGeometry.AffineSpace.isoOfIsAffine_inv_appTop_coord, MvPolynomial.expand_char, MvPolynomial.monomial_mul_mem_coeffsIn, MvPolynomial.evalāHom_congr, WeierstrassCurve.Jacobian.eval_polynomialX_of_Z_ne_zero, MvPolynomial.map_rename, AlgebraicGeometry.AffineSpace.isoOfIsAffine_inv_over_assoc, Algebra.PreSubmersivePresentation.ofHasCoeffs_Ļ', MvPolynomial.killCompl_C, MvPolynomial.evalā_const_pUnitAlgEquiv_symm, MvPolynomial.eval_comp_toMvPolynomial, Algebra.Generators.H1Cotangent.Ī“Aux_C, MvPolynomial.support_finSuccEquiv_nonempty, MvPolynomial.evalā_sum, MvPolynomial.bindā_X_left, MvPolynomial.monomial_one_dvd_iff_modMonomial_eq_zero, MvPolynomial.sumAlgEquiv_comp_rename_inr, MvPolynomial.aevalTower_toAlgHom, Algebra.Generators.ofComp_val, MvPolynomial.coe_eq_one_iff, Algebra.Presentation.map_relationOfHasCoeffs, LinearMap.polyCharpoly_coeff_isHomogeneous, MvPolynomial.evalā_map, MvPolynomial.X_mul_pderiv_monomial, MvPolynomial.X_injective, MonomialOrder.degree_add_le, MvPolynomial.degree_optionEquivLeft, MvPolynomial.mapAlgHom_id, Algebra.Generators.naive_val, MonomialOrder.leadingCoeff_prod_of_regular, MvPolynomial.totalDegree_list_prod, MvPolynomial.coeff_expand_smul, Algebra.Generators.algebraMap_apply, MvPolynomial.map_esymm, MvPolynomial.weightedHomogeneousComponent_eq_zero', MvPolynomial.IsHomogeneous.add, MvPolynomial.coe_eq_zero_iff, MvPolynomial.expand_C, MvPowerSeries.trunc'_trunc'_pow, MonomialOrder.eq_C_of_degree_eq_zero, instIsIntegralMvPolynomial, MvPolynomial.coeffs_C, MvPolynomial.smulCommClass, MvPolynomial.optionEquivRight_X_none, MvPolynomial.homogeneousComponent_isHomogeneous, MvPolynomial.rename_psum, WeierstrassCurve.Jacobian.polynomialY_eq, MvPolynomial.sum_homogeneousComponent, MvPolynomial.expand_zero, MvPolynomial.support_add, MonomialOrder.sPolynomial_self, MvPolynomial.degreesLE_nsmul, MvPolynomial.coe_monomial, WeierstrassCurve.Jacobian.eval_polynomialX, MvPolynomial.totalDegree_rename_le, MvPolynomial.C_apply, MonomialOrder.leadingCoeff_mul_of_right_mem_nonZeroDivisors, MvPolynomial.coe_mapEquivMonic_comp', Algebra.Presentation.naive_relation, WeierstrassCurve.Projective.eval_polynomialX, WeierstrassCurve.Projective.baseChange_polynomial, Matrix.toMvPolynomial_map, MvPolynomial.single_eq_monomial, Polynomial.toMvPolynomial_eq_rename_comp, MvPowerSeries.trunc_one, Polynomial.aeval_homogenize_X_one, MvPolynomial.adjoin_range_X, MvPolynomial.mul_X_mem_coeffsIn, MvPolynomial.coeff_C, WeierstrassCurve.Jacobian.eval_polynomialY_of_Z_ne_zero, MonoidAlgebra.mvPolynomial_aeval_of_surjective_of_closure, AddMonoidAlgebra.mvPolynomial_aeval_of_surjective_of_closure, MvPolynomial.bindā_map, MvPolynomial.totalDegree_mul_of_isDomain, MvPolynomial.X_dvd_X, MvPolynomial.transcendental_polynomial_aeval_X_iff, MvPolynomial.aeval_algebraMap_eq_zero_iff_of_injective, MvPolynomial.evalā_neg, Algebra.Generators.algebraMap_eq, Algebra.SubmersivePresentation.ofSubsingleton_relation, StandardEtalePair.equivMvPolynomialQuotient_symm_apply, MonomialOrder.leadingTerm_monomial, MvPolynomial.X_mul_mem_coeffsIn, MvPolynomial.support_rename_of_injective, Algebra.IsSmoothAt.exists_isStandardEtale_mvPolynomial, MvPolynomial.comap_comp, MvPolynomial.eval_ofNat, MonomialOrder.degree_mul_leadingTerm, xInTermsOfW_eq, LinearMap.nilRank_eq_polyCharpoly_natTrailingDegree, MvPolynomial.eval_eq_eval_mv_eval', MvPolynomial.degrees_map_of_injective, MvPolynomial.ACounit_C, LinearMap.polyCharpoly_baseChange, MvPolynomial.transcendental_supported_X_iff, Polynomial.homogenize_add, MvPolynomial.vanishingIdeal_pointToPoint, MvPolynomial.optionEquivLeft_X_none, MvPolynomial.algebraicIndependent_polynomial_aeval_X, MvPolynomial.IsHomogeneous.HomogeneousSubmodule.gcommSemiring, MvPolynomial.degreeOf_rename_of_injective, MvPolynomial.degreesLE_add, MvPolynomial.exists_rename_eq_of_vars_subset_range, MonomialOrder.span_leadingTerm_eq_span_monomial, MvPolynomial.optionEquivRight_symm_apply, MvPolynomial.instIsPrimeVanishingIdealSingletonForallSet, MvPolynomial.evalāHom_zero_apply, MvPolynomial.scalarRTensor_apply_tmul, MvPolynomial.degrees_C, MonomialOrder.degree_neg, WeierstrassCurve.Jacobian.polynomial_relation, LinearMap.polyCharpolyAux_map_eval, MvPolynomial.eval_prod, MvPolynomial.C_mul_X_eq_monomial, Algebra.Generators.Hom.aeval_val, Polynomial.MonicDegreeEq.freeMonic_coe, MvPolynomial.degreeOf_mul_eq, Algebra.Presentation.comp_aeval_relation_inl, MvPolynomial.C_0, WittVector.mulN_coeff, MvPolynomial.bindā_monomial, MvPolynomial.isUnit_iff_totalDegree_of_isReduced, MvPolynomial.totalDegree_finset_prod, MvPolynomial.monomialOneHom_apply, Algebra.SubmersivePresentation.jacobianRelations_spec, MvPolynomial.pderiv_sumToIter, MvPolynomial.coeff_homogeneousComponent, MvPolynomial.support_expand_subset, MonomialOrder.coeff_prod_sum_degree, MvPolynomial.totalDegree_C, LinearMap.toMvPolynomial_add, WeierstrassCurve.Projective.polynomialZ_eq, MvPolynomial.IsSymmetric.one, Matrix.charpoly.univ_monic, MvPolynomial.totalDegree_pow, MvPolynomial.coeff_rename_embDomain, MvPolynomial.isUnit_iff, MvPolynomial.monomial_left_inj, MvPolynomial.X_dvd_monomial, MvPolynomial.coe_zero, TensorProduct.toIntegralClosure_mvPolynomial_bijective, MvPolynomial.finSuccEquiv_coeff_coeff, MvPolynomial.rename_comp_expand, Algebra.PreSubmersivePresentation.aevalDifferential_toMatrix'_eq_mapMatrix_jacobiMatrix, Algebra.PreSubmersivePresentation.jacobiMatrix_apply, AlgebraicIndependent.mvPolynomialOptionEquivPolynomialAdjoin_C', MvPolynomial.coeff_C_mul, MvPolynomial.rename_esymm, MvPolynomial.IsHomogeneous.sub, Algebra.PreSubmersivePresentation.ofHasCoeffs_algebra_algebraMap_apply, MvPolynomial.quotient_map_C_eq_zero, MvPolynomial.iterToSum_X, MvPolynomial.coeff_X_pow, AlgebraicClosure.instIsAlgClosureOfIsAlgebraic, MvPolynomial.C_mul_monomial, Algebra.Generators.H1Cotangent.Ī“Aux_monomial, MvPolynomial.vars_monomial, MvPolynomial.pow_idealOfVars_eq_span, AnalyticOnNhd.eval_linearMap, MvPolynomial.IsHomogeneous.pow, MvPolynomial.IsWeightedHomogeneous.sum, MvPolynomial.lawfulFunctor, MvPolynomial.bindā_comp_bindā, MvPolynomial.commAlgEquiv_C, MvPolynomial.coeff_zero_C, Algebra.Generators.Hom.algebraMap_toAlgHom', Algebra.Generators.cotangentSpaceBasis_repr_tmul, MonomialOrder.monic_X_add_C, MvPolynomial.aevalTower_X, MvPolynomial.vars_sub_subset, MvPolynomial.bindā_monomial_one, MvPolynomial.commAlgEquiv_X, MvPolynomial.mapEquiv_apply, MvPolynomial.evalāHom_congr', Matrix.charpoly.univ_coeff_evalāHom, MvPolynomial.optionEquivRight_X_some, MvPolynomial.aeval_expand, AlgebraicIndependent.lift_reprField, MvPolynomial.instCharZero, MvPolynomial.aeval_algebraMap_apply, MvPolynomial.C_1, MvPolynomial.evalāHom_X', MvPolynomial.evalā_one, MvPolynomial.rTensor_apply_X_tmul, Algebra.SubmersivePresentation.map_invJacobianOfHasCoeffs, Algebra.SubmersivePresentation.linearIndependent_aeval_val_pderiv_relation, wittPolynomial_one, MvPolynomial.pderiv_X, MvPolynomial.eval_eq', MvPolynomial.uniqueFactorizationMonoid, MvPolynomial.restrictSupport_univ, Algebra.Generators.H1Cotangent.Ī“Aux_toAlgHom, MvPolynomial.evalā_C, Subalgebra.mvPolynomial_aeval_coe, IsLocalization.Away.mvPolynomialQuotientEquiv_apply, Algebra.Presentation.naive_relation_apply, MvPolynomial.C_add, PolynomialLaw.exists_lift, LinearMap.toMvPolynomial_zero, MvPolynomial.isHomogeneous_C_mul_X, WittVector.mul_polyOfInterest_aux4, MvPolynomial.rename_evalā, AlgebraicIndependent.mvPolynomialOptionEquivPolynomialAdjoin_X_some, MvPolynomial.coeff_smul, MvPowerSeries.expand_eq_expand, MvPolynomial.irreducible_of_disjoint_support, Algebra.Generators.localizationAway_Ļ, MvPolynomial.isWeightedHomogeneous_one, MvPolynomial.mapAlgEquiv_apply, Polynomial.Bivariate.equivMvPolynomial_symm_X_0, MvPolynomial.algebraTensorAlgEquiv_symm_comp_aeval, MvPolynomial.finitePresentation_universalFactorizationMap, MvPolynomial.mapAlgEquiv_refl, WittVector.frobeniusPoly_zmod, MvPolynomial.totalDegree_multiset_prod, MvPolynomial.eval_neg, Algebra.FiniteType.iff_quotient_mvPolynomial', MvPolynomial.map_restrict_dom_evalā, MvPolynomial.tensorEquivSum_one_tmul_C, MvPolynomial.rTensor_apply_tmul, MvPolynomial.IsWeightedHomogeneous.weightedHomogeneousComponent_ne, MvPolynomial.IsSymmetric.mul, WeierstrassCurve.Jacobian.baseChange_polynomialY, MonomialOrder.Monic.pow, MonomialOrder.degree_mul_of_isRegular_right, MvPolynomial.map_ofNat, MvPolynomial.coeff_monomial_mul, Polynomial.degree_freeMonic, MvPolynomial.IsWeightedHomogeneous.add, MvPolynomial.evalāHom_rename, MvPolynomial.degreeOf_pow_eq, LieModule.rank_eq_natTrailingDegree, MvPolynomial.bindā_id, MvPolynomial.X_mul_cancel_left_iff, MvPolynomial.sumAlgEquiv_comp_rename_inl, MvPolynomial.dvd_monomial_iff_exists, WeierstrassCurve.Projective.baseChange_polynomialY, MvPolynomial.aeval_bindā, MonomialOrder.degree_sum_le, MonomialOrder.degree_mul_of_mul_leadingCoeff_ne_zero, MvPolynomial.X_dvd_mul_iff, MonomialOrder.leadingCoeff_pow_of_pow_leadingCoeff_ne_zero, MvPolynomial.DirectSum.coeAddMonoidHom_eq_support_sum, MvPolynomial.algebraMap_apply, MvPolynomial.mkDerivationā_monomial, MvPolynomial.exists_fin_rename, LinearMap.toMvPolynomial_baseChange, MvPolynomial.optionEquivLeft_coeff_coeff, MvPolynomial.IsWeightedHomogeneous.sum_weight_X_mul_pderiv, Matrix.charpoly.optionEquivLeft_symm_univ_isHomogeneous, MvPolynomial.sum_weightedHomogeneousComponent, MvPolynomial.C_surjective, MvPolynomial.pderiv_def, MvPolynomial.isEmptyRingEquiv_symm_apply, AlgebraicGeometry.AffineSpace.SpecIso_inv_appTop_coord, MonomialOrder.degree_leadingTerm_mul, MvPolynomial.mem_pow_idealOfVars_iff', MvPolynomial.mem_supported, Matrix.toMvPolynomial_zero, MvPolynomial.renameEquiv_apply, MvPolynomial.degrees_pow_le, MvPolynomial.rename_esymmAlgHom, MvPolynomial.aeval_eq_zero, MvPolynomial.nontrivial_of_nontrivial, MvPolynomial.evalā_cast_comp, Algebra.PreSubmersivePresentation.naive_toPresentation, Polynomial.eval_homogenize, MvPolynomial.modMonomial_add_divMonomial, MonomialOrder.span_leadingTerm_eq_span_monomial', MvPolynomial.bindā_C_right, MvPolynomial.coe_coeffs_map, MvPolynomial.decompose'_apply, MvPolynomial.instIsLocalHomRingHomAlgebraMap, WittVector.bindā_wittMulN_wittPolynomial, PolynomialLaw.exists_range_Ļ_eq_of_fg, Algebra.FinitePresentation.mvPolynomial, MvPolynomial.coeff_single_X_pow, MvPolynomial.dvd_X_mul_iff, MonomialOrder.degree_X_sub_C, MvPolynomial.monomial_one_mul_cancel_left_iff, MvPolynomial.eq_zero_iff, MvPolynomial.aevalTower_C, MvPolynomial.expand_one_apply, MvPolynomial.coe_basisMonomials, MvPolynomial.map_expand_pow_char, xInTermsOfW_aux, MonomialOrder.degree_mul_lt_iff_left_lt_of_ne_zero, MvPolynomial.mapRange_eq_map, MvPolynomial.monomial_mem_pow_idealOfVars_iff, MonomialOrder.degree_smul_le, MvPolynomial.irreducible_sumSMulX, AnalyticOnNhd.aeval_mvPolynomial, MvPolynomial.totalDegree_eq_zero_iff_eq_C, MvPolynomial.bindā_rename, MvPolynomial.smulCommClass_right, MvPolynomial.degreeOf_sub_le, AlgebraicGeometry.AffineSpace.homOfVector_toSpecMvPoly_assoc, MvPolynomial.degreeOf_mul_X_eq_degreeOf_add_one_iff, wittStructureRat_prop, WeierstrassCurve.Projective.eval_polynomialX_of_Z_ne_zero, MvPolynomial.degrees_rename, MvPolynomial.vars_neg, Algebra.Presentation.comp_relation, MvPolynomial.evalāHom_zero', Polynomial.Bivariate.equivMvPolynomial_symm_C, Algebra.Generators.instIsScalarTowerRing, MvPowerSeries.aeval_coe, Polynomial.homogenize_X_pow, WittVector.IsPoly.poly, MvPolynomial.map_hsymm, MvPolynomial.finite_universalFactorizationMap, MvPolynomial.rTensorAlgHom_toLinearMap, wittStructureRat_rec, WittVector.mul_polyOfInterest_vars, MvPolynomial.isRegular_prod_X, MvPolynomial.homogeneousSubmodule_zero, MvPolynomial.coeff_sumSMulX, MvPolynomial.expand_eq_C, algebraicIndependent_iff, MvPowerSeries.trunc'_expand, MvPolynomial.universalFactorizationMapPresentation_map, MvPolynomial.toMvPowerSeries_isDenseInducing, MvPolynomial.coeff_rename_mapDomain, MonomialOrder.degree_mul_le, MvPolynomial.restrictSupport_mono, MvPolynomial.algebraTensorAlgEquiv_symm_X, MvPolynomial.expand_injective, MvPolynomial.mem_restrictDegree, MvPolynomial.support_coeff_finSuccEquiv, MonomialOrder.monic_monomial, Algebra.Presentation.aeval_val_relation, LinearMap.polyCharpolyAux_map_eq_charpoly, MvPolynomial.totalDegree_neg, MvPolynomial.expand_one, MvPolynomial.cardinalMk_eq_one, MvPolynomial.degrees_map_le, MvPolynomial.esymmAlgHom_fin_surjective, MvPolynomial.expand_inj, AlgebraicClosure.instIsAlgClosure, LinearMap.polyCharpolyAux_eval_eq_toMatrix_charpoly_coeff, MvPolynomial.support_neg, CommRingCat.HomTopology.mvPolynomialHomeomorph_symm_apply_hom, MvPolynomial.indicator_mem_restrictDegree, MvPolynomial.coeffsIn_mul, AlgebraicGeometry.AffineSpace.map_toSpecMvPoly, MvPolynomial.eval_eq, MonomialOrder.sPolynomial_def, MonomialOrder.sPolynomial_antisymm, Algebra.Generators.H1Cotangent.Ī“Aux_ofComp, MvPolynomial.restrictSupport_zero, MvPolynomial.as_sum, MonomialOrder.degree_mul_of_left_mem_nonZeroDivisors, MvPolynomial.isUnit_iff_eq_C_of_isReduced, MonomialOrder.leadingCoeff_monomial, MvPolynomial.psum_zero, MvPolynomial.monomial_add_single, AlgebraicIndependent.mvPolynomialOptionEquivPolynomialAdjoin_X_none, MvPolynomial.le_coeffsIn_pow, MvPolynomial.supported_strictMono, MvPolynomial.IsWeightedHomogeneous.pow, MonomialOrder.degree_pow_le, MvPolynomial.eval_add, WeierstrassCurve.Projective.map_polynomialX, MvPolynomial.pointToPoint_zeroLocus_le, Algebra.SubmersivePresentation.map_jacobianRelationsOfHasCoeffs, exists_integral_inj_algHom_of_quotient, MvPowerSeries.trunc_map, MvPolynomial.isNilpotent_iff, MvPolynomial.instNoZeroDivisors, exists_finite_inj_algHom_of_fg, MonomialOrder.monic_monomial_one, MvPolynomial.zeroLocus_bot, WeierstrassCurve.Jacobian.baseChange_polynomial, MvPolynomial.aeval_def, MvPolynomial.monomial_eq_zero, MvPolynomial.eval_monomial, MonomialOrder.degree_C, MvPolynomial.coeff_monomial_mul', MvPolynomial.monomial_mem_coeffsIn, MvPolynomial.degrees_sub_le, MvPolynomial.coe_evalāHom, MvPowerSeries.coeff_trunc', MvPolynomial.vars_C_mul, MonomialOrder.sPolynomial_left_zero, Algebra.Generators.toAlgHom_ofComp_rename, Algebra.FinitePresentation.iff, wittStructureRat_rec_aux, Polynomial.Bivariate.equivMvPolynomial_symm_X_1, MvPolynomial.evalā_add, MonomialOrder.image_leadingTerm_insert_zero, WeierstrassCurve.Projective.eval_polynomialZ, MvPolynomial.supported_mono, Algebra.Generators.ker_localizationAway, MvPolynomial.constantCoeff_smul, MvPolynomial.totalDegree_expand, MvPolynomial.algHom_C, MvPolynomial.leadingCoeff_toLex_C, MvPolynomial.support_mul_X, wittStructureInt_prop, MvPolynomial.eval_pow, MvPolynomial.evalāHom_zero'_apply, MvPolynomial.psumPart_zero, AlgebraicIndependent.mvPolynomialOptionEquivPolynomialAdjoin_apply, MvPolynomial.le_zeroLocus_iff_le_vanishingIdeal, MonomialOrder.leadingCoeff_mul_of_left_mem_nonZeroDivisors, MvPolynomial.derivation_C, MvPolynomial.mem_support_coeff_optionEquivLeft, instIsAlgebraicMvPolynomialOfNoZeroDivisors, MvPolynomial.dvd_smul_X_iff_exists, MvPowerSeries.coeff_trunc, MvPolynomial.mem_supported_vars, MvPolynomial.mkDerivation_monomial, MvPolynomial.degrees_sum_le, MvPolynomial.schwartz_zippel_sup_sum, Algebra.Generators.comp_localizationAway_ker, MvPolynomial.mem_map_C_iff, MvPolynomial.rename_monomial, MvPolynomial.aeval_toMvPolynomial, MvPolynomial.mul_esymm_eq_sum, MvPolynomial.prime_C_iff, MvPolynomial.eval_mul, MvPolynomial.restrictScalars_restrictSupportIdeal, MvPolynomial.instFiniteSubtypeMemSubmoduleRestrictDegreeOfFinite, MvPolynomial.mem_restrictSupport_iff, MvPolynomial.degreesLE_zero, MvPolynomial.universalFactorizationMapPresentation_relation, MvPolynomial.aevalTower_comp_algebraMap, MvPolynomial.evalā_zero_apply, Algebra.PreSubmersivePresentation.aevalDifferential_single, MvPolynomial.isWeightedHomogeneous_monomial, AlgebraicIndependent.algebraMap_aevalEquiv, MvPolynomial.isWeightedHomogeneous_zero, MonomialOrder.coeff_degree_eq_zero_iff, MvPolynomial.aeval_id_rename, MvPolynomial.degreeOf_mul_X_self, MvPolynomial.eq_C_of_isEmpty, MvPolynomial.coeff_one, MonomialOrder.sPolynomial_right_zero, WeierstrassCurve.Projective.polynomialX_eq, Algebra.adjoin_range_eq_range_aeval, MvPolynomial.monomial_zero', Polynomial.homogenize_finsetSum, MvPolynomial.evalā_sub, MvPolynomial.weightedHomogeneousComponent_directSum, Algebra.Generators.aeval_val_Ļ, MvPolynomial.msymm_zero, MvPolynomial.totalDegree_add, Polynomial.homogenize_C_mul, MvPolynomial.mem_zeroLocus_iff, MvPolynomial.infinite_of_infinite, MvPolynomial.coe_add, MvPolynomial.totalDegree_coeff_optionEquivLeft_add_le, MvPolynomial.modMonomial_X, MvPolynomial.homogeneousComponent_apply, MvPolynomial.vars_prod, MonomialOrder.leadingCoeff_add_of_lt, MvPolynomial.eval_indicator_apply_eq_zero, MvPolynomial.sumToIter_iterToSum, MvPolynomial.divMonomial_mul_monomial, MvPolynomial.map_surjective_iff, constantCoeff_wittPolynomial, WeierstrassCurve.Projective.polynomialY_eq, MvPolynomial.aeval_eq_constantCoeff_of_vars, Algebra.Presentation.tensorModelOfHasCoeffsEquiv_tmul, MvPolynomial.weightedHomogeneousComponent_finsupp, WeierstrassCurve.Projective.negDblY_eq, SymmetricAlgebra.equivMvPolynomial_symm_X, MvPolynomial.expand_bindā, MvPolynomial.map_injective_iff, MvPolynomial.linearIndependent_X, MvPolynomial.coeff_mul_X', MvPolynomial.prod_X_pow_eq_monomial, MvPolynomial.map_injective, MvPolynomial.constantCoeff_monomial, MvPolynomial.coeff_mul_X, MvPolynomial.smul_eval, MvPolynomial.evalāHom_zero, MvPowerSeries.substAlgHom_coe, MvPolynomial.universalFactorizationMapPresentation_algebra_algebraMap, MvPolynomial.degrees_one, MvPolynomial.C_eq_zero, MvPolynomial.supDegree_toLex_C, WeierstrassCurve.Projective.eval_polynomialY_of_Z_ne_zero, MvPolynomial.coeff_rTensorAlgHom_tmul, MvPolynomial.aeval_zero, MvPolynomial.killCompl_rename_app, MvPolynomial.mem_weightedHomogeneousSubmodule, MvPolynomial.comp_aeval, MvPolynomial.support_map_of_injective, MvPolynomial.constantCoeff_X, MvPolynomial.divMonomial_monomial, MvPolynomial.frobenius_zmod, KaehlerDifferential.mvPolynomialBasis_repr_apply, WittVector.frobeniusPolyAux_eq, MvPolynomial.optionEquivLeft_coeff_some_coeff_none, IntermediateField.mem_adjoin_range_iff, WittVector.coeff_frobeniusFun, MvPolynomial.renameEquiv_refl, MvPolynomial.totalDegree_renameEquiv, MvPolynomial.expand_mul, MvPolynomial.mem_coeffsIn, Algebra.Presentation.tensorModelOfHasCoeffsHom_tmul, AlgebraicGeometry.AffineSpace.map_SpecMap, WeierstrassCurve.Projective.baseChange_polynomialX, MvPolynomial.isLocalHom_expand, Polynomial.Bivariate.pderiv_zero_equivMvPolynomial, MvPolynomial.weightedHomogeneousComponent_of_isWeightedHomogeneous_ne, MvPolynomial.C_mul', AlgebraicClosure.le_maxIdeal, MvPolynomial.isEmptyAlgEquiv_apply, MvPolynomial.bindā_X_right, Algebra.Generators.cMulXSubOneCotangent_eq, MvPolynomial.map_C, MvPolynomial.isHomogeneous_monomial, LinearMap.polyCharpolyAux_baseChange, Polynomial.Bivariate.equivMvPolynomial_X, MvPolynomial.C_dvd_iff_dvd_coeff, MvPolynomial.pderiv_C_mul, Polynomial.homogenize_finsetProd, Module.Basis.symmetricAlgebra_repr_apply, MonomialOrder.degree_smul_of_isRegular, AlgebraicClosure.toSplittingField_coeff, MvPolynomial.evalā_mul, Matrix.toMvPolynomial_eval_eq_apply, MvPolynomial.coe_pow, MonomialOrder.degree_one, MvPolynomial.natDegree_optionEquivLeft, Matrix.charpoly.univ_coeff_isHomogeneous, MvPolynomial.isHomogeneous_one, ringKrullDim_add_natCard_le_ringKrullDim_mvPolynomial, WittVector.constantCoeff_wittMul, AlgebraicGeometry.AffineSpace.SpecIso_inv_over_assoc, Algebra.Generators.self_algebra_smul, MvPolynomial.decomposition.decompose'_apply, MvPolynomial.restrictSupport_nsmul, MvPolynomial.mem_support_finSuccEquiv, MvPolynomial.psum_one, MvPolynomial.mem_degreesLE, MvPolynomial.weightedHomogeneousComponent_isWeightedHomogeneous, MvPolynomial.isNoetherianRing_fin, MvPolynomial.X_dvd_iff_modMonomial_eq_zero, MvPolynomial.funext_set_iff, MvPolynomial.quotient_mk_comp_C_isIntegral_of_isJacobsonRing, MvPolynomial.X_mul_divMonomial, MvPolynomial.map_monomial, MvPolynomial.monomial_mem_restrictSupport, algebraicIndependent_iff_injective_aeval, MvPolynomial.vars_map_of_injective, MvPolynomial.aeval_map_algebraMap, Algebra.Generators.Hom.toAlgHom_C, MvPolynomial.rename_comp_toMvPolynomial, MvPolynomial.infinite_of_nonempty, MvPolynomial.comap_C_surjective, MvPolynomial.finSuccEquiv_comp_C_eq_C, MvPolynomial.esymmAlgHom_zero, MvPolynomial.homogeneousComponent_eq_zero, MvPolynomial.evalā_eta, MvPolynomial.coeToMvPowerSeries.algHom_apply, AlgebraicIndependent.liftAlgHom_comp_reprField, MvPolynomial.rename_rightInverse, char_dvd_card_solutions, Algebra.SubmersivePresentation.sum_jacobianRelationsOfHasCoeffs_mul_relationOfHasCoeffs, WeierstrassCurve.Jacobian.polynomialZ_eq, MonomialOrder.sPolynomial_monomial_mul, MvPolynomial.hsymmPart_zero, MvPolynomial.evalāHom_map_hom, MvPolynomial.isRegular_X, MvPolynomial.mem_homogeneousSubmodule, MvPolynomial.finSuccEquiv_eq, char_dvd_card_solutions_of_sum_lt, SymmetricAlgebra.equivMvPolynomial_Ī¹_apply, RingHom.IsStandardSmooth.exists_etale_mvPolynomial, MvPolynomial.homogeneousComponent_zero, LinearMap.polyCharpoly_eq_of_basis, MvPolynomial.ker_evalāHom_universalFactorizationMap, MvPolynomial.monomial_left_injective, MvPolynomial.bindā_comp_rename, MvPolynomial.coeff_map, MvPolynomial.monomial_sum_index, MvPolynomial.lawfulMonad, MvPolynomial.degrees_prod_le, LinearMap.polyCharpolyAux_map_aeval, Matrix.mvPolynomialX_mapMatrix_eval, MvPolynomial.monic_monomial_eq, MvPolynomial.image_support_finSuccEquiv, AlgebraicGeometry.AffineSpace.toSpecMvPolyIntEquiv_apply, MvPolynomial.pderiv_monomial_single, MvPolynomial.degreeOf_prod_eq, MvPolynomial.evalā_rename, AlgebraicIndependent.aeval_repr, MvPolynomial.support_expand, MonomialOrder.degree_eq_zero_iff, MvPolynomial.add_divMonomial, MvPolynomial.instFiniteSubtypeMemSubmoduleRestrictTotalDegreeOfFinite, Polynomial.Bivariate.equivMvPolynomial_C_X, MvPolynomial.IsSymmetric.rename, MvPolynomial.IsHomogeneous.aeval, MvPolynomial.isEmptyRingEquiv_symm_toRingHom, MonomialOrder.leadingTerm_C, MvPolynomial.DirectSum.coeLinearMap_eq_finsum, WittVector.mul_polyOfInterest_aux1, MvPolynomial.support_monomial_subset, MvPolynomial.monomial_mul, MvPolynomial.quotientEquivQuotientMvPolynomial_leftInverse, MvPowerSeries.totalDegree_trunc', MvPolynomial.aeval_bindā, MvPolynomial.rename_bindā, MvPolynomial.support_X_pow, MvPolynomial.rTensor_symm_apply_single, MvPolynomial.pderiv_X_of_ne, MvPolynomial.prod_X_add_C_coeff, MvPolynomial.renameSymmetricSubalgebra_symm_apply_coe, MvPolynomial.IsSymmetric.zero, MvPolynomial.degree_finSuccEquiv, Polynomial.Bivariate.Polynomial.Bivariate.pderiv_zero_equivMvPolynomial, MvPolynomial.isNoetherianRing_fin_0, MvPolynomial.nonempty_support_optionEquivLeft, MvPolynomial.pderiv_monomial, MvPolynomial.isRegular_X_pow, Algebra.adjoin_eq_range, MvPolynomial.degrees_add_le, MvPolynomial.mapAlgEquiv_symm, Algebra.Generators.toComp_toAlgHom_monomial, MvPolynomial.counit_surjective, MvPolynomial.rename_injective, MvPolynomial.isHomogeneous_zero, MvPolynomial.degrees_mul_le, WeierstrassCurve.Projective.negDblY_eq', MvPolynomial.quotient_mk_comp_C_injective, MvPolynomial.monomial_mem_homogeneousSubmodule_pow_degree, MonomialOrder.leadingCoeff_neg, Algebra.SubmersivePresentation.aeval_jacobianOfHasCoeffs, LinearMap.polyCharpolyAux_coeff_eval, MvPolynomial.esymmAlgHomMonomial_single_one, AlgebraicClosure.Monics.map_eq_prod, MvPolynomial.coe_smul, MonomialOrder.degree_prod_le, MvPolynomial.totalDegree_add_eq_left_of_totalDegree_lt, MvPolynomial.map_rightInverse, MvPolynomial.finrank_eq_zero, MvPolynomial.dvd_monomial_mul_iff_exists, MvPolynomial.killCompl_map, MonomialOrder.span_leadingTerm_insert_zero, Algebra.FiniteType.iff_quotient_mvPolynomial, MonomialOrder.div_set, MvPolynomial.aeval_eq_bindā, MvPolynomial.support_optionEquivLeft, MvPolynomial.X_mul_modMonomial, MvPolynomial.degreeOf_pow_le, MvPolynomial.dvd_X_iff_exists, MvPolynomial.finSuccEquiv_X_succ, MvPolynomial.aeval_ofNat, MonomialOrder.degree_zero, Algebra.Presentation.aeval_val_relationOfHasCoeffs, MvPolynomial.evalāHom_eq_zero, MvPolynomial.instCharP, MvPolynomial.expand_comp_bindā, MvPolynomial.mapAlgEquiv_trans, MonomialOrder.leadingCoeff_C, Algebra.SubmersivePresentation.aeval_invJacobianOfHasCoeffs, MvPolynomial.ker_mapAlgHom, MvPolynomial.aeval_injective_iff_of_isEmpty, WittVector.constantCoeff_wittAdd, MvPolynomial.X_mem_supported, MvPolynomial.coeff_zero, MvPolynomial.eval_sub, MvPolynomial.mem_restrictDegree_iff_sup, MvPolynomial.esymmAlgHom_fin_injective, MvPolynomial.aeval_comp_bindā, MvPolynomial.hsymm_one, MvPolynomial.weightedHomogeneousComponent_eq_zero_of_notMem, MvPolynomial.totalDegree_sub, Polynomial.monic_freeMonic, MvPolynomial.rTensor_apply_monomial_tmul, MvPolynomial.IsWeightedHomogeneous.prod, MvPolynomial.evalā_const_pUnitAlgEquiv, Algebra.Generators.repr_CotangentSpaceMap, MvPowerSeries.WithPiTopology.denseRange_toMvPowerSeries, MvPolynomial.pderiv_pow, constantCoeff_wittStructureRat_zero, WeierstrassCurve.Jacobian.map_polynomialZ, MvPolynomial.aeval_esymm_eq_multiset_esymm, MvPolynomial.supported_le_supported_iff, MvPolynomial.totalDegree_zero, MonomialOrder.coeff_pow_nsmul_degree, MvPolynomial.bindā_C_right, MvPowerSeries.algebraMap_apply', MvPolynomial.constantCoeff_eq, LinearMap.toMvPolynomial_constantCoeff, WeierstrassCurve.Projective.map_polynomialZ, MvPolynomial.eval_rename, MvPolynomial.mkDerivationā_C, MvPolynomial.vars_one, StandardEtalePresentation.toPresentation_Ļ', MvPolynomial.totalDegree_finsetSum_le, MvPolynomial.isIntegral_iff_isIntegral_coeff, witt_structure_prop, MvPolynomial.map_surjective, MvPolynomial.degreeOf_one, WittVector.constantCoeff_wittNSMul, LinearMap.toMvPolynomial_comp, MvPolynomial.evalāHom_eq_bindā, MvPolynomial.IsHomogeneous.rename_isHomogeneous_iff, MvPolynomial.vars_bindā, MonomialOrder.leadingCoeff_pow, WittVector.bindā_verschiebungPoly_wittPolynomial, MvPolynomial.prod_C_add_X_eq_sum_esymm, Algebra.Presentation.instFinitePresentationModelOfHasCoeffsOfFinite, MvPolynomial.evalā_map_comp_C, MonomialOrder.degree_pow, MvPolynomial.support_smul_eq, MvPolynomial.optionEquivRight_apply, MvPolynomial.finSuccEquiv_apply, MvPolynomial.vanishingIdeal_empty, MvPolynomial.C_eq_coe_nat, MvPolynomial.tensorEquivSum_X_tmul_X, MvPolynomial.comp_aeval_apply, MvPolynomial.vars_mul, Algebra.Presentation.relation_comp_localizationAway_inl, MvPolynomial.bindā_comp_bindā, WittVector.coeff_select, MvPolynomial.aeval_unique, WeierstrassCurve.Jacobian.baseChange_polynomialX, MvPolynomial.coeff_rTensorAlgHom_monomial_tmul, MvPolynomial.bindā_bindā, MvPolynomial.support_sum_monomial_coeff, MvPolynomial.degreeOf_mul_C_le, MvPolynomial.mem_coeffsIn_iff_coeffs_subset, MvPolynomial.esymmAlgHomMonomial_add, MvPolynomial.algebraTensorAlgEquiv_symm_map, MvPolynomial.coeff_sub, MvPolynomial.rename_polynomial_aeval_X, MvPolynomial.weightedDecomposition.decompose'_eq, MvPolynomial.degrees_mul_eq, MvPolynomial.coeff_expand_of_not_dvd, MvPolynomial.isHomogeneous_C_mul_X_pow, MvPolynomial.tensorEquivSum_C_tmul_one, MvPolynomial.map_iterateFrobenius_expand, MvPolynomial.vars_pow, Polynomial.toMvPolynomial_X, AlgebraicGeometry.AffineSpace.isoOfIsAffine_hom_appTop, MvPolynomial.hsymm_zero, MvPolynomial.sumAlgEquiv_apply, Algebra.SubmersivePresentation.exists_sum_eq_Ļ_jacobian_mul_Ļ_jacobian_inv_sub_one, MvPolynomial.degreeOf_C_mul_le, algebraicIndependent_subtype, LinearMap.polyCharpoly_map_eq_charpoly, MonomialOrder.degree_add_eq_right_of_lt, MvPolynomial.coeffsIn_eq_span_monomial, MvPolynomial.sumToIter_Xr, LinearMap.polyCharpoly_monic, Polynomial.natDegree_freeMonic, Algebra.Generators.ofComp_toAlgHom_monomial_sumElim, MvPolynomial.exists_finset_renameā, Matrix.charpoly.univ_natDegree, WeierstrassCurve.Projective.eval_polynomial_of_Z_ne_zero, MvPolynomial.algebraMap_eq, MvPolynomial.algebraicIndependent_X, MvPolynomial.eval_toMvPolynomial, Algebra.Presentation.algebraTensorAlgEquiv_symm_relation, Algebra.Generators.aeval_val_eq_zero, MvPolynomial.coeffsIn_pow, MvPolynomial.sum_C, MvPolynomial.totalDegree_one, MvPolynomial.esymmAlgHom_apply, MvPolynomial.monomial_eq, MvPolynomial.aeval_eq_evalāHom, MvPolynomial.vars_C, MvPolynomial.rename_prod_mk_evalā, AlgebraicIndependent.aevalEquivField_apply_coe, MvPolynomial.IsSymmetric.smul, MvPolynomial.aeval_C, MvPolynomial.support_map_subset, IsTranscendenceBasis.mvPolynomial, MvPolynomial.isScalarTower, MvPolynomial.toMvPowerSeries_pUnitAlgEquiv, MvPolynomial.transcendental_polynomial_aeval_X, MvPolynomial.pderiv_map, WeierstrassCurve.Jacobian.eval_polynomial, MvPolynomial.aeval_comp_expand, AlgebraicIndependent.aevalEquiv_apply_coe, MvPolynomial.esymm_eq_sum_monomial, Polynomial.homogenize_monomial_of_lt, WittVector.wittMul_zero, MvPolynomial.rename_C, MvPolynomial.HomogeneousSubmodule.gradedMonoid, FirstOrder.realize_genericPolyMapSurjOnOfInjOn, MvPowerSeries.coeff_mul_eq_coeff_trunc'_mul_trunc', MvPolynomial.evalā_mul_C, StandardEtalePresentation.aeval_val_equivMvPolynomial, MvPolynomial.instFiniteOfIsEmpty, MvPolynomial.C_neg, MvPolynomial.weightedHomogeneousComponent_eq_zero, MvPolynomial.aevalTower_comp_toAlgHom, MvPolynomial.zeroLocus_vanishingIdeal_galoisConnection, MvPolynomial.coeToMvPowerSeries.ringHom_apply, MvPolynomial.restrictSupport_add, MvPolynomial.zeroLocus_span, MvPolynomial.instIsCancelMulZeroOfIsCancelAdd, MvPolynomial.coeffs_map, MvPolynomial.totalDegree_monomial_le, MvPolynomial.IsHomogeneous.rename_isHomogeneous, WittVector.polyOfInterest_vars_eq, WeierstrassCurve.Jacobian.map_polynomial, AlgebraicGeometry.AffineSpace.isoOfIsAffine_hom, MvPolynomial.mapEquiv_trans, MvPowerSeries.WithPiTopology.tendsto_trunc'_atTop, MvPolynomial.isNoetherianRing, MvPolynomial.constantCoeff_comp_C, MvPolynomial.pderiv_inr_universalFactorizationMap_X, MvPolynomial.degrees_zero, MvPolynomial.IsHomogeneous.mul, MvPolynomial.sumAlgEquiv_symm_apply, MvPolynomial.evalā_comp, MvPolynomial.weightedHomogeneousComponent_C_mul, MonomialOrder.leadingCoeff_zero, MvPolynomial.evalā_pUnitAlgEquiv_symm, Algebra.Presentation.tensorModelOfHasCoeffsEquiv_symm_tmul, WeierstrassCurve.Jacobian.eval_polynomial_of_Z_ne_zero, MvPolynomial.dvd_C_iff_exists, Algebra.Generators.ker_eq_ker_aeval_val, MvPolynomial.instIsPushout_1, WittVector.wittNeg_zero, MvPolynomial.mul_monomial_mem_coeffsIn, MvPolynomial.IsHomogeneous.sum, MvPolynomial.cardinalMk_le_max_lift, MvPolynomial.supported_empty, MvPolynomial.C_mem_pow_idealOfVars_iff, instIsAlgebraicMvPolynomialOfNoZeroDivisors_1, MvPolynomial.esymmPart_zero, KaehlerDifferential.mvPolynomialBasis_repr_D, MonomialOrder.sPolynomial_monomial_mul', MvPolynomial.pderiv_eq_zero_of_notMem_vars, WittVector.map_frobeniusPoly, MvPolynomial.sum_eval_eq_zero, MvPolynomial.le_degrees_add_right, MvPolynomial.weightedTotalDegree'_zero, WittVector.constantCoeff_wittZSMul, WeierstrassCurve.Jacobian.polynomialX_eq, MvPolynomial.aeval_C_comp_left, MvPolynomial.transcendental_X, MvPolynomial.msymm_one, MvPolynomial.C_mul_X_pow_eq_monomial, MvPolynomial.totalDegree_mul, MvPolynomial.weightedHomogeneousComponent_mem, MvPolynomial.degrees_rename_of_injective, PolynomialLaw.range_Ļ, MvPolynomial.coeff_add, MvPolynomial.psum_eq_mul_esymm_sub_sum, MvPolynomial.eval_C, MvPolynomial.IsWeightedHomogeneous.C_mul, MvPolynomial.mapAlgHom_apply, MvPolynomial.support_zero, Algebra.Generators.cotangentRestrict_mk, MvPolynomial.optionEquivLeft_monomial, Matrix.mvPolynomialX_map_evalā, Algebra.SubmersivePresentation.ofSubsingleton_algebra_smul, MonomialOrder.leadingCoeff_mul_of_isRegular_left, KaehlerDifferential.mvPolynomialBasis_repr_comp_D, LieAlgebra.rank_eq_natTrailingDegree, WittVector.bindā_onePoly_wittPolynomial, map_wittPolynomial, StandardEtalePresentation.toPresentation_algebra_algebraMap_apply, MvPolynomial.optionEquivLeft_symm_apply, MvPolynomial.isLocalization_C_mk', MvPolynomial.algebraTensorAlgEquiv_tmul, MvPolynomial.vars_map, MvPolynomial.mem_support_coeff_finSuccEquiv, MvPolynomial.homogeneousSubmodule_one_eq_span_X, Algebra.Generators.aeval_val_Ļ', MvPolynomial.support_sub, WittVector.wittOne_zero_eq_one, MvPolynomial.evalāHom_id_X_eq_joinā, Algebra.Generators.Hom.comp_val, MvPolynomial.degreeOf_C_mul, MvPolynomial.instIsPushout, MvPolynomial.C_injective, MvPolynomial.C_mul, CommRingCat.HomTopology.mvPolynomialHomeomorph_apply_fst, MvPolynomial.esymm_eq_multiset_esymm, MvPolynomial.comap_apply, AlgebraicGeometry.AffineSpace.over_over, MvPolynomial.vars_rename, MvPolynomial.evalāHom_eq_constantCoeff_of_vars, WittVector.bindā_zero_wittPolynomial, IsTranscendenceBasis.mvPolynomial', MvPolynomial.totalDegree_finset_sum, AlgebraicGeometry.AffineSpace.toSpecMvPolyIntEquiv_comp, MvPolynomial.isLocalization, MvPolynomial.instExpChar, MvPolynomial.divMonomial_monomial_mul, StandardEtalePresentation.toPresentation_val, AlgebraicGeometry.AffineSpace.homOfVector_toSpecMvPoly, MvPolynomial.instIsCancelAddOfIsLeftCancelAdd, MvPolynomial.sum_monomial_eq, MvPolynomial.rename_comp_bindā, MvPolynomial.degrees_monomial_eq, MvPolynomial.zeroLocus_top, MvPolynomial.aeval_id_eq_joinā, MvPolynomial.rename_X, MvPolynomial.IsSymmetric.C, MvPolynomial.pUnitAlgEquiv_monomial, Algebra.Generators.compLocalizationAwayAlgHom_relation_eq_zero, MvPolynomial.coeff_monomial, MvPolynomial.coeff_mul_monomial, Polynomial.homogenize_sub, MvPolynomial.degreeOf_zero, MvPolynomial.ringHom_ext'_iff, MvPolynomial.mem_ideal_span_monomial_image_iff_dvd, Algebra.mvPolynomial, IsRegular.monomial, Matrix.charpoly.univ_map_evalāHom, MonomialOrder.leadingCoeff_prod_of_mem_nonZeroDivisors, MvPolynomial.comap_id_apply, MvPolynomial.aeval_one_tmul, Algebra.SubmersivePresentation.ofSubsingleton_Ļ', MvPolynomial.monomial_pow, MvPolynomial.divMonomial_add_modMonomial_single, MvPolynomial.eval_sum, MonomialOrder.degree_prod, MvPolynomial.degreeOf_sub_lt, ringKrullDim_add_enatCard_le_ringKrullDim_mvPolynomial, MvPolynomial.smul_eq_C_mul, MvPolynomial.evalā_monomial, MvPolynomial.counitNat_C, MvPolynomial.finSuccEquiv_rename_finSuccEquiv, Algebra.Presentation.HasCoeffs.relation_mem_range_map, MvPolynomial.rename_expand, MvPolynomial.homogeneousSubmodule_one_pow, MvPolynomial.universalFactorizationMapPresentation_algebra_smul, MonomialOrder.degree_smul, Algebra.FiniteType.instMvPolynomialOfFinite, MvPolynomial.IsHomogeneous.sum_X_mul_pderiv, MvPolynomial.derivation_C_mul, MvPolynomial.aeval_sumElim_pderiv_inl, MvPolynomial.monomial_one_dvd_monomial_one, AnalyticAt.aeval_mvPolynomial, MvPolynomial.mul_monomial_modMonomial, MvPolynomial.evalā_natCast, MvPolynomial.tensorEquivSum_one_tmul_X, LinearMap.polyCharpoly_coeff_eq_zero_iff_of_basis, MvPolynomial.iterToSum_C_C, MvPolynomial.mapEquiv_refl, MvPolynomial.totalDegree_sub_C_le, MvPolynomial.coeffAddMonoidHom_apply, MvPolynomial.coeff_X_mul, MvPolynomial.supported_univ, MvPolynomial.isSymmetric_rename, MvPolynomial.one_coeffsIn, MvPolynomial.mkDerivationā_X, MvPolynomial.universalFactorizationMap_freeMonic, Algebra.Generators.Hom.toAlgHom_monomial, Polynomial.homogenize_zero, MvPolynomial.le_degrees_add_left, MvPolynomial.irreducible_of_totalDegree_eq_one, MvPolynomial.universalFactorizationMapPresentation_val, MvPolynomial.rename_comp_rename, MonomialOrder.leadingCoeff_sub_of_lt, MvPolynomial.coe_expand, MvPolynomial.aeval_sumElim, MvPolynomial.universalFactorizationMapPresentation_Ļ', MvPolynomial.aeval_comp_rename, LinearMap.toMvPolynomial_eval_eq_apply, KaehlerDifferential.mvPolynomialBasis_repr_symm_single, MvPolynomial.mem_symmetricSubalgebra, MonomialOrder.degree_mul_of_isRegular_left, MvPolynomial.evalā_rename_prod_mk, AlgebraicIndependent.aevalEquivField_algebraMap_apply_coe, Algebra.IsAlgebraic.rank_fractionRing_mvPolynomial, MvPolynomial.mapAlgHom_coe_ringHom, MvPolynomial.monomial_sum_one, bindā_wittPolynomial_xInTermsOfW, MvPolynomial.schwartz_zippel_sum_degreeOf, MvPolynomial.isHomogeneous_C, Algebra.FinitePresentation.out, MvPolynomial.rename_leftInverse, MvPolynomial.totalDegree_smul_le, MonomialOrder.Monic.mul, Algebra.FiniteType.iff_quotient_mvPolynomial'', MvPolynomial.esymmAlgHom_fin_bijective, MvPolynomial.esymmAlgEquiv_apply, Polynomial.homogenize_C, MvPolynomial.mem_vanishingIdeal_iff, MonomialOrder.degree_add_of_lt, MvPolynomial.mem_vanishingIdeal_singleton_iff, MonomialOrder.div, MvPolynomial.weightedTotalDegree'_eq_bot_iff, AlgebraicGeometry.AffineSpace.SpecIso_inv_over, WittVector.mul_polyOfInterest_aux5, MvPolynomial.scalarRTensor_symm_apply_single, MvPolynomial.expand_zmod, MvPolynomial.aeval_zero', MvPolynomial.weightedTotalDegree_rename_of_injective, MvPolynomial.range_mapAlgHom, MvPolynomial.counit_C, WeierstrassCurve.Projective.baseChange_polynomialZ, MvPolynomial.IsHomogeneous.prod, MvPolynomial.irreducible_sumSMulXSMulY, MvPolynomial.counitNat_X, MonomialOrder.degree_X_add_C, MvPolynomial.evalāHom_bindā, MvPolynomial.mem_ideal_span_monomial_image, MvPolynomial.rename_toMvPolynomial, MvPolynomial.aeval_rename, MonomialOrder.Monic.add_of_lt, MvPolynomial.isCentralScalar, WittVector.bindā_frobeniusPolyRat_wittPolynomial, MvPolynomial.optionEquivLeft_symm_C_X, MvPolynomial.mul_X_modMonomial, MvPolynomial.bindā_bindā, WittVector.aeval_verschiebungPoly, MvPolynomial.evalāHom_bindā, Polynomial.homogenize_X, MvPolynomial.finSuccEquiv_X_zero, MvPolynomial.isJacobsonRing_MvPolynomial_fin, MvPolynomial.degreeOf_prod_le, MonomialOrder.monic_one, MvPolynomial.degreeOf_eq_natDegree, MvPolynomial.coeff_weightedHomogeneousComponent, WeierstrassCurve.Projective.dblX_eq, MonomialOrder.coeff_mul_of_degree_add, Algebra.Presentation.baseChange_relation, MonomialOrder.degree_sub_leadingTerm_lt_degree, MvPolynomial.esymm_zero, MvPolynomial.rTensor_apply, MvPolynomial.C_mem_coeffsIn, MvPolynomial.bindā_X_right, MvPolynomial.coeff_rename_eq_zero, MvPolynomial.disjoint_support_monomial, MonomialOrder.coeff_mul_of_add_of_degree_le, MvPolynomial.joinā_map, MvPolynomial.evalāHom_C_left, MvPolynomial.transcendental_supported_polynomial_aeval_X_iff, MvPolynomial.aeval_monomial, AlgebraicGeometry.AffineSpace.isoOfIsAffine_inv_over, StandardEtalePresentation.toPresentation_relation, MvPolynomial.coe_injective, Polynomial.toMvPolynomial_injective, Algebra.PreSubmersivePresentation.localizationAway_jacobiMatrix, MvPolynomial.coeff_eval_eq_eval_coeff, MvPolynomial.cardinalMk_eq_lift, MvPolynomial.C_pow, LinearMap.polyCharpoly_natDegree, MvPolynomial.coeffs_C_subset, Algebra.PreSubmersivePresentation.ofHasCoeffs_val, MvPolynomial.IsSymmetric.add, MonomialOrder.degree_mul, MonomialOrder.degree_monomial_le, MvPolynomial.C_sub, Algebra.Generators.self_algebra_algebraMap, MvPolynomial.esymm_eq_sum_subtype, MvPolynomial.coeff_mul_monomial', MonomialOrder.Monic.prod, MvPolynomial.ringKrullDim_of_isNoetherianRing, MvPolynomial.pderiv_X_self, MvPolynomial.quotientEquivQuotientMvPolynomial_rightInverse, WittVector.mul_polyOfInterest_aux3, WittVector.verschiebungPoly_zero, MvPolynomial.pderiv_C, MvPowerSeries.trunc'_one, MvPolynomial.universalFactorizationMapPresentation_jacobiMatrix, MvPolynomial.modMonomial_add_divMonomial_single, constantCoeff_xInTermsOfW, Algebra.PreSubmersivePresentation.ofHasCoeffs_algebra_smul, MvPolynomial.C_dvd_iff_zmod, MvRatFunc.rank_eq_max_lift, MvPolynomial.aeval_prod, MvPolynomial.homogeneousSubmodule_mul, MonomialOrder.leadingCoeff_one, Matrix.toMvPolynomial_mul, Polynomial.Bivariate.pderiv_one_equivMvPolynomial, WittVector.wittOne_pos_eq_zero, MvPolynomial.IsHomogeneous.neg, MvPowerSeries.trunc_C_mul, MvPolynomial.exists_restrict_to_vars, MvPolynomial.lcoeff_apply, wittStructureInt_rename, WittVector.constantCoeff_wittNeg, algebraicIndependent_comp_subtype, map_wittStructureInt, MvPolynomial.algebraTensorAlgEquiv_symm_monomial, MvPolynomial.restrictSupport_eq_span, MvPolynomial.cardinalMk_le_max, MvPolynomial.constantCoeff_comp_map, FirstOrder.Ring.mvPolynomial_zeroLocus_definable, MvPolynomial.rank_eq, MvPolynomial.vars_add_subset, MvPolynomial.aevalTower_algebraMap, MvPolynomial.optionEquivLeft_elim_eval, MvPolynomial.esymm_one, MvPolynomial.optionEquivLeft_symm_X, SymmetricAlgebra.IsSymmetricAlgebra.mvPolynomial, MvPolynomial.renameEquiv_symm, MvPolynomial.evalāHom_C, MvPolynomial.counitNat_surjective, MvPolynomial.support_symmDiff_support_subset_support_add, MvPolynomial.isEmptyRingEquiv_eq_coeff_zero, MvPolynomial.sumToIter_C, MvPolynomial.X_divMonomial, WeierstrassCurve.Projective.dblX_eq', MvPolynomial.eval_expand, RingHom.IsStandardSmoothOfRelativeDimension.exists_etale_mvPolynomial, MvPolynomial.aeval_comp_toMvPolynomial, MvPolynomial.finrank_eq_one, MvPolynomial.supportedEquivMvPolynomial_symm_C, Matrix.toMvPolynomial_constantCoeff, MvPowerSeries.trunc'_map, MvPolynomial.tensorEquivSum_X_tmul_one, MvPolynomial.instIsMaximalVanishingIdealSingletonForallSet, MvPolynomial.C_inj, MvPolynomial.expand_mul_eq_comp, WeierstrassCurve.Jacobian.map_polynomialY, MvPolynomial.evalā_pUnitAlgEquiv, MvPolynomial.eval_X, Ideal.mem_span_pow_iff_exists_isHomogeneous, Polynomial.map_map_freeMonic, MonomialOrder.degree_prod_of_regular, MvPolynomial.supported_eq_range_rename, MvPolynomial.trdeg_of_isDomain, WeierstrassCurve.Projective.dblY_of_Y_eq', MvPolynomial.IsHomogeneous.C_mul, MvPolynomial.rename_hsymm, MvPolynomial.constantCoeff_map, MvPolynomial.transcendental_supported_X, MvPolynomial.degrees_add_of_disjoint, MvPolynomial.aeval_natDegree_le, AnalyticOnNhd.eval_continuousLinearMap', MvPolynomial.degreeOf_neg, MvPolynomial.scalarRTensor_apply_tmul_apply, MvPolynomial.optionEquivLeft_symm_C_C, Algebra.Generators.Hom.algebraMap_toAlgHom, MvPolynomial.IsSymmetric.sub, MvPolynomial.coeffsIn_le, MonomialOrder.C_mul_leadingCoeff_monomial_degree, WittVector.coeff_frobenius, MvPolynomial.degreeOf_mul_X_of_ne, Algebra.Generators.comp_Ļ, AnalyticOnNhd.eval_mvPolynomial, MvPolynomial.support_smul, WeierstrassCurve.Projective.map_polynomialY, MvPolynomial.tensorEquivSum_C_tmul_C, MvPolynomial.IsHomogeneous.finSuccEquiv_coeff_isHomogeneous, MvPolynomial.finsum_weightedHomogeneousComponent, WeierstrassCurve.Projective.map_polynomial, WittVector.wittSub_zero, MvPolynomial.evalā_assoc, MvPolynomial.instIsDomainOfIsCancelAdd, MvPowerSeries.subst_coe, MvPolynomial.coeff_zero_one, MvPolynomial.mapEquivMonic_symm_map_algebraMap, WittVector.wittZero_eq_zero, MvPolynomial.coe_aeval_eq_eval, WeierstrassCurve.Projective.eval_polynomialY, exists_integral_inj_algHom_of_fg, MvPolynomial.instIsLocalHomRingHomC, MvPolynomial.evalā_eq_eval_map, MvPolynomial.weightedTotalDegree_zero, Matrix.charpoly.univ_coeff_card, Polynomial.Bivariate.equivMvPolynomial_C_C, MonomialOrder.degree_sub_of_lt, MvPolynomial.isWeightedHomogeneous_C, MvPolynomial.linearMap_ext_iff, MvPolynomial.map_X, MvPolynomial.eval_assoc, MvPolynomial.monomial_single_add, ax_grothendieck_zeroLocus, wittPolynomial_eq_sum_C_mul_X_pow, Polynomial.homogenize_one, MvPolynomial.support_X_mul, MvPolynomial.coeffs_zero, MvPolynomial.monomial_one_mul_cancel_right_iff, MonomialOrder.degree_mul', constantCoeff_wittStructureInt_zero, Polynomial.homogenizeLM_apply, MvPolynomial.degreeOf_monomial_eq, MvPolynomial.vanishingIdeal_zeroLocus_eq_radical, Polynomial.homogenize_mul, MonomialOrder.leadingTerm_eq_zero_iff, instFreeMvPolynomialKaehlerDifferential, MvPolynomial.hom_bindā, WeierstrassCurve.Jacobian.map_polynomialX, MvPolynomial.coeff_expand_zero, MvPolynomial.C_dvd_iff_map_hom_eq_zero, MvPolynomial.IsSymmetric.neg, rank_mvPolynomial_mvPolynomial, AnalyticOnNhd.eval_continuousLinearMap, WeierstrassCurve.Jacobian.eval_polynomialZ, MvPolynomial.vars_sum_subset, MvPolynomial.isMaximal_iff_eq_vanishingIdeal_singleton, Algebra.IsStandardSmoothOfRelativeDimension.exists_etale_mvPolynomial, MvPolynomial.degreeOf_add_le, Matrix.mvPolynomialX_mapMatrix_aeval, MvPolynomial.algebraMap_def, MonomialOrder.leadingCoeff_mul_of_mul_leadingCoeff_ne_zero, MvPolynomial.support_C, MvPolynomial.supported_eq_vars_subset, MvPolynomial.coeffs_X_mul, MonomialOrder.degree_sub_leadingTerm_lt_iff, MvPolynomial.evalā_comp_right, MvPolynomial.weightedHomogeneousComponent_apply, Polynomial.aeval_homogenize_of_eq_one, MonomialOrder.degree_mul_of_right_mem_nonZeroDivisors, MvPolynomial.map_eval, MonomialOrder.degree_sub_leadingTerm_le, Polynomial.homogenize_dvd, MvPolynomial.rename_eq, MvPolynomial.rank_eq_lift, MvPolynomial.totalDegree_coeff_optionEquivLeft_le, MvPolynomial.cardinalMk_eq_max_lift, MvPolynomial.derivation_ext_iff, MvPolynomial.coeff_mul, WittVector.wittAdd_zero, MvPolynomial.mapEquivMonic_symm_map, ringKrullDim_mvPolynomial_of_isEmpty, MvPolynomial.IsHomogeneous.pderiv, MvPolynomial.mem_ideal_span_X_image, char_dvd_card_solutions_of_fintype_sum_lt, MvPolynomial.mem_restrictTotalDegree, MvPolynomial.vars_0, Polynomial.homogenize_neg, MvPolynomial.isHomogeneous_X_pow, MvPolynomial.vars_add_of_disjoint, MvPolynomial.restrictTotalDegree_le_restrictDegree, Algebra.SubmersivePresentation.basisDeriv_apply, MvPolynomial.bindā_monomial, LinearMap.polyCharpoly_coeff_eval, MonomialOrder.degree_smul_of_mem_nonZeroDivisors, MvPolynomial.coe_coeffsIn, MvPolynomial.coe_mul, MvPolynomial.mem_image_comap_C_basicOpen, MvPolynomial.continuous_eval, Algebra.Presentation.mem_ker_naive, MvPolynomial.C_eq_smul_one, MvPolynomial.vars_monomial_single, MvPolynomial.evalā_apply, MvPolynomial.esymmAlgHom_surjective, MvPolynomial.aevalTower_ofNat, MvPolynomial.monomial_modMonomial, MvPolynomial.WeightedHomogeneousSubmodule.gradedMonoid, MvPolynomial.esymmAlgEquiv_symm_apply, instIsPushoutFractionRingMvPolynomial_1, MvPolynomial.rename_surjective, MvPolynomial.map_id, MvPolynomial.evalāHom_comp_expand, Polynomial.toMvPolynomial_C, MonomialOrder.sPolynomial_mul_monomial, MonomialOrder.degree_prod_of_mem_nonZeroDivisors, MvPowerSeries.trunc'_C, MonomialOrder.degree_pow_of_pow_leadingCoeff_ne_zero, MvPolynomial.decomposition.decompose'_eq, MvPolynomial.cardinalMk_eq_max, Algebra.Generators.C_mul_X_sub_one_mem_ker, MvPolynomial.universalFactorizationMapPresentation_jacobian, MonomialOrder.sPolynomial_leadingTerm_mul, Polynomial.UniversalFactorizationRing.fromTensor_comp_universalFactorizationMap, MvPolynomial.esymmAlgHom_injective, MvPolynomial.coeff_sum, MvPowerSeries.trunc'_C_mul, MvPolynomial.commAlgEquiv_C_X, MvPolynomial.expand_zero_apply, Polynomial.homogenize_monomial, WeierstrassCurve.Projective.negDblY_of_Y_eq', Polynomial.coeff_freeMonic, MonomialOrder.degree_sPolynomial, Polynomial.UniversalFactorizationRing.fromTensor_comp_universalFactorizationMap', MvPolynomial.renameSymmetricSubalgebra_apply_coe, Algebra.FinitePresentation.iff_quotient_mvPolynomial', MvPolynomial.monomial_dvd_monomial, MvPolynomial.coe_mapEquivMonic_comp, MvPolynomial.transcendental_supported_polynomial_aeval_X, instIsPushoutFractionRingMvPolynomial, MvPolynomial.monomial_mul_modMonomial, MvPolynomial.eval_polynomial_eval_finSuccEquiv, MvPolynomial.constantCoeff_comp_algebraMap, MvPolynomial.sumToIter_Xl, LinearMap.polyCharpolyAux_map_eq_toMatrix_charpoly, MvPolynomial.pderiv_inl_universalFactorizationMap_X, WittVector.constantCoeff_wittSub, MvPolynomial.counit_X, MvPolynomial.instFaithfulSMul, MvPolynomial.rename_id, MvPolynomial.evalāHom_comp_C, MvPolynomial.bindā_id, Algebra.Presentation.tensorModelOfHasCoeffsInv_aeval_val, MvPolynomial.rTensorAlgHom_apply_eq
|