instMulZeroClass š | CompOp | 908 mathmath: Finset.map_nsmul_piAntidiag_univ, MvPolynomial.pUnitAlgEquiv_symm_monomial, MvPowerSeries.coeff_zero_eq_constantCoeff_apply, Finsupp.sum_toMultiset, MvPolynomial.dvd_monomial_one_iff_exists, Num.minFac_to_nat, LSeries.convolution_one_eq_convolution_zeta, Finsupp.finite_of_degree_le, IsAlgClosed.roots_eq_zero_iff_degree_nonpos, MvPowerSeries.WithPiTopology.tendsto_trunc_atTop, MvPolynomial.support_sum, MonomialOrder.sPolynomial_leadingTerm_mul', ofDigits_eq_sum_mapIdx_aux, MvPowerSeries.coeff_zero_eq_constantCoeff, MvPolynomial.support_mul, HahnSeries.instNoZeroDivisorsFinsuppNat, DFinsupp.toMultiset_sup, MvPolynomial.totalDegree_monomial, MvPolynomial.mul_X_divMonomial, ArithmeticFunction.sigma_pos, Prime.exists_orderOf_eq_pow_factorization_exponent, MvPolynomial.map_mapRange_eq_iff, MvPowerSeries.eq_iff_frequently_trunc'_eq, Primes.prodNatEquiv_symm_apply, multiplicity_eq_factorization, factorization_eq_zero_of_not_dvd, IsPrimePow.exists_ordCompl_eq_one, EisensteinSeries.hasSum_e2Summand_symmetricIcc, MvPolynomial.support_finSuccEquiv, MvPolynomial.rTensor_apply_tmul_apply, MvPolynomial.degrees_monomial, Submonoid.exists_finsupp_of_mem_closure_range, Prime.factorization_pos_of_dvd, MvPolynomial.coeff_divMonomial, MonomialOrder.degree_add_of_ne, MvPolynomial.sum_def, MvPolynomial.one_def, MvPowerSeries.coeff_mul_monomial, Multiset.toFinsupp_add, MvPolynomial.mem_image_support_coeff_finSuccEquiv, Finsupp.toMultiset_strictMono, MvPolynomial.scalarRTensor_apply_monomial_tmul, ArithmeticFunction.cardFactors_pow, ordCompl_le, MvPolynomial.weightedDegree_eq_zero_iff, MvPowerSeries.support_expand, multiplicative_factorization', MonomialOrder.degree_monomial, MvPolynomial.coeff_X_mul', IsPrimePow.minFac_pow_factorization_eq, factorization_prod_pow_eq_self, Multiset.equivDFinsupp_symm_apply, factorization_pow, Ideal.rank_prime_pow_ramificationIdx, sub_one_mul_sum_log_div_pow_eq_sub_sum_digits, ArithmeticFunction.carmichael_pow_of_prime_ne_two, Multiset.toDFinsupp_support, MvPolynomial.X_pow_eq_monomial, ArithmeticFunction.cardFactors_multiset_prod, MvPowerSeries.coeff_pow, MonomialOrder.degree_X, MvPowerSeries.constantCoeff_subst, ArithmeticFunction.zeta_apply, AddCommMonCat.free_obj_coe, MvPolynomial.evalāHom_monomial, Polynomial.zero_le_degree_iff, factorization_le_factorization_mul_left, MvPowerSeries.coeff_monomial_mul, MvPowerSeries.exists_finsupp_eq_lexOrder_of_ne_zero, MvPowerSeries.coeff_X_pow, ArithmeticFunction.cardDistinctFactors_apply, Multiset.Nat.antidiagonalTuple_zero_right, MvPolynomial.support_monomial, MvPolynomial.monomial_finsupp_sum_index, MvPolynomial.mul_def, Finsupp.prod_toMultiset, Finsupp.toMultiset_zero, MvPolynomial.image_comap_C_basicOpen, MvPowerSeries.X_pow_eq, MvPolynomial.mem_support_iff, ArithmeticFunction.cardFactors_apply, MvPolynomial.notMem_support_iff, Num.gcd_to_nat_aux, ofDigits_one, MvPolynomial.scalarRTensor_apply_X_tmul_apply, factorization_eq_of_coprime_right, Num.of_to_nat', Num.div_to_nat, factorization_mul_apply_of_coprime, Num.sub_to_nat, Num.succ'_to_nat, sub_one_mul_padicValNat_factorial, MvPowerSeries.LinearTopology.basis_le_iff, MonomialOrder.degree_sub_le, ordCompl_dvd_ordCompl_iff_dvd, Sym.coe_equivNatSum_apply_apply, Num.toNat_injective, Ideal.Factors.fact_ramificationIdx_neZero, Multiset.Icc_eq, Monoid.neZero_exponent_of_finite, ordProj_of_not_prime, ArithmeticFunction.cardDistinctFactors_apply_prime_pow, WithBot.add_eq_two_iff, MvPowerSeries.min_lexOrder_le, Num.castNum_eq_bitwise, Finsupp.add_sub_single_one, pow_succ_factorization_not_dvd, sum_le_ofDigits, modEq_digits_sum, Finsupp.Lex.single_strictAnti, Prime.factorization_pow, ArithmeticFunction.LSeries_zeta_mul_Lseries_moebius, Polynomial.degree_list_prod, MvPolynomial.supDegree_esymmAlgHomMonomial, AddSubmonoid.mem_closure_range_iff, ArithmeticFunction.sigma_apply, MvPolynomial.support_sdiff_support_subset_support_add, AddSubmonoid.exists_finsupp_of_mem_closure_range, FormalMultilinearSeries.id_apply_one', ArithmeticFunction.abscissaOfAbsConv_zeta, Finsupp.toMultiset_toFinsupp, Partition.toFinsuppAntidiag_mem_finsuppAntidiag, MeasureTheory.upcrossingsBefore_zero', MvPolynomial.pow_idealOfVars, MvPolynomial.idealOfVars_eq_restrictSupportIdeal, ArithmeticFunction.cardDistinctFactors_apply_prime, sub_one_mul_padicValNat_choose_eq_sub_sum_digits, ZNum.gcd_to_nat, MvPolynomial.totalDegree_eq, ArithmeticFunction.sigma_one_apply_prime_pow, factorization_factorial, AddCommMonCat.free_map, Multiset.toFinsupp_sum_eq, Multiset.toDFinsupp_apply, minpoly.degree_pos, MvPolynomial.support_eq_empty, MonomialOrder.degree_mem_support_iff, List.sum_take_map_length_splitWrtComposition, Finset.map_nsmul_piAntidiag, Polynomial.tendsto_atTop_iff_leadingCoeff_nonneg, MvPolynomial.degrees_def, Polynomial.degree_list_prod_le, ofDigits_eq_sum_mapIdx, MvPolynomial.mem_vars, MonomialOrder.toSyn_strictMono, MvPowerSeries.coeff_X, MvPolynomial.evalā_mul_monomial, MvPolynomial.weightedHomogeneousComponent_zero, MonomialOrder.div_single, MvPolynomial.esymmAlgHomMonomial_single, PowerSeries.support_expand_subset, Finsupp.card_toMultiset, RootPairing.Base.exists_root_eq_sum_nat_or_neg, Sym.coe_equivNatSum_symm_apply, FirstOrder.Ring.lift_genericPolyMap, ordCompl_dvd_ordCompl_of_dvd, MvPolynomial.expand_monomial, Polynomial.degree_pos_of_root, MvPowerSeries.hasSum_aeval, PowerSeries.support_expand, HahnSeries.toMvPowerSeries_symm_apply_coeff, three_dvd_iff, factorization_mul, instIsCancelMulZero, isPrimePow_iff_factorization_eq_single, MvPolynomial.X_mul_pderiv_monomial, MvPowerSeries.lexOrder_def_of_ne_zero, MonomialOrder.degree_add_le, MvPowerSeries.coeff_index_single_X, Num.castNum_shiftRight, MvPowerSeries.LinearTopology.mem_basis_iff, MvPowerSeries.subst_monomial, MvPolynomial.totalDegree_list_prod, Multiset.equivDFinsupp_apply, MvPolynomial.coeff_expand_smul, factorization_eq_card_pow_dvd_of_lt, ArithmeticFunction.sigma_zero_apply, DFinsupp.toMultiset_single, factorization_mul, Num.size_to_nat, Finsupp.toMultiset_apply, MvPowerSeries.lexOrder_mul, ArithmeticFunction.cardDistinctFactors_eq_zero, Polynomial.tendsto_atBot_iff_leadingCoeff_nonpos, MvPolynomial.support_add, ArithmeticFunction.IsMultiplicative.multiplicative_factorization, MvPowerSeries.X_def, MvPolynomial.C_apply, Finsupp.DegLex.single_lt_iff, sub_one_mul_padicValNat_choose_eq_sub_sum_digits', ordProj_dvd_ordProj_iff_dvd, MvPolynomial.single_eq_monomial, MvPolynomial.coeff_C, Finset.Nat.antidiagonalTuple_zero_right, Num.castNum_xor, exists_factorization_lt_of_lt, ArithmeticFunction.moebius_apply_of_squarefree, Finsupp.antidiagonal_single, MvPolynomial.coeff_X, Finsupp.sub_add_single_one_cancel, MvPolynomial.support_rename_of_injective, MvPowerSeries.monomial_def, Polynomial.abs_tendsto_atTop_iff, factorization_eq_one_of_squarefree, factorization_choose_prime_pow_add_factorization, MvPowerSeries.le_lexOrder_iff, MvPowerSeries.expand_one_apply, factorization_prod_apply, TensorPower.algebraMapā_one, Multiset.toFinsupp_union, Polynomial.degree_C, MvPolynomial.scalarRTensor_apply_tmul, Real.log_nat_eq_sum_factorization, PowerSeries.expand_one_apply, MvPolynomial.C_mul_X_eq_monomial, ArithmeticFunction.two_mul_carmichael_two_pow_of_three_le_eq_totient, NumberField.Units.instNeZeroNatTorsionOrder, MvPowerSeries.coeff_index_single_self_X, MvPowerSeries.WithPiTopology.as_tsum, MvPolynomial.degreeOf_le_iff, OrderedSemiring.toPosSMulMonoNat, MvPolynomial.isUnit_iff_totalDegree_of_isReduced, MvPolynomial.monomialOneHom_apply, MvPolynomial.leadingCoeff_esymmAlgHomMonomial, factorization_one_right, MvPolynomial.support_expand_subset, ModEq.listSum_map, MonomialOrder.coeff_prod_sum_degree, MonomialOrder.lex_lt_iff_of_unique, Num.to_of_nat, tsum_pow_div_one_sub_eq_tsum_sigma, MvPolynomial.coeff_rename_embDomain, MvPolynomial.isUnit_iff, Num.castNum_shiftLeft, MonomialOrder.degLex_le_iff, ArithmeticFunction.sigma_apply_prime_pow, MvPolynomial.finSuccEquiv_coeff_coeff, MvPowerSeries.monomial_zero_eq_C, MvPowerSeries.coeff_inv, MvPolynomial.coeff_X_pow, nine_dvd_iff, Algebra.Generators.H1Cotangent.Ī“Aux_monomial, MvPolynomial.vars_monomial, MvPolynomial.pow_idealOfVars_eq_span, ordProj_mul_ordCompl_eq_self, pairwise_coprime_pow_primeFactors_factorization, Num.of_to_nat, MvPolynomial.coeff_zero_C, ArithmeticFunction.LSeries_zeta_eq, ArithmeticFunction.pow_carmichael, ArithmeticFunction.cardFactors_pos_iff_one_lt, Polynomial.ofFinsupp_eq_one, Multiset.toFinsupp_inter, MonomialOrder.degree_le_iff, CompositionAsSet.blocks_partial_sum, ArithmeticFunction.zeta_mul_pow_eq_sigma, Real.logb_nat_eq_sum_factorization, MvPolynomial.rTensor_apply_X_tmul, isSumSq, MvPolynomial.eval_eq', MvPolynomial.restrictSupport_univ, instPosSMulMonoNatOfIsOrderedAddMonoid, Finsupp.exists_le_degree_eq, PosNum.pred'_to_nat, factorization_choose_le_one, Prime.factorization, ArithmeticFunction.zeta_pos, Multiset.toFinsupp_apply, Module.rankAtStalk_eq_zero_iff_subsingleton, MvPolynomial.vars_eq_support_biUnion_support, support_factorization, Polynomial.abs_tendsto_atBot_iff, MvPowerSeries.coeff_subst, Ideal.finrank_prime_pow_ramificationIdx, ArithmeticFunction.zeta_mul_comm, dvd_ordCompl_of_dvd_not_dvd, ArithmeticFunction.sigma_eq_zero, Finsupp.finite_of_nat_weight_le, Prime.dvd_iff_one_le_factorization, MvPolynomial.eq_modMonomial_single_iff, ArithmeticFunction.carmichael_two_pow_of_le_two, eq_factorization_iff, Cubic.degree_of_d_ne_zero, MvPolynomial.rTensor_apply_tmul, MonomialOrder.degree_mul_of_isRegular_right, MvPolynomial.coeff_monomial_mul, WithBot.add_eq_one_iff, MvPolynomial.dvd_monomial_iff_exists, ArithmeticFunction.sigma_one_apply, EisensteinSeries.hasSum_e2Summand_symmetricIco, IsSemisimpleRing.exists_algEquiv_pi_matrix_end_mulOpposite, MonomialOrder.degree_sum_le, MonomialOrder.degree_mul_of_mul_leadingCoeff_ne_zero, MvPolynomial.mkDerivationā_monomial, Finsupp.le_weight, EisensteinSeries.q_expansion_riemannZeta, Polynomial.ofFinsupp_one, MvPolynomial.optionEquivLeft_coeff_coeff, MonomialOrder.degree_subsingleton, factorization_zero, ArithmeticFunction.cardFactors_eq_sum_factorization, Cardinal.mk_finsupp_nat, MvPolynomial.finsupp_support_eq_support, ArithmeticFunction.convolution_vonMangoldt_zeta, DFinsupp.toMultiset_le_toMultiset, ceilRoot_def, List.Nat.antidiagonalTuple_zero_right, MvPowerSeries.expand_one, Finsupp.DegLex.single_antitone, Finsupp.Lex.single_lt_iff, Num.castNum_or, dvd_iff_div_factorization_eq_tsub, List.IsZeckendorfRep.sum_fib_lt, MvPolynomial.coeff_single_X, Finsupp.mem_toMultiset, ArithmeticFunction.sigma_pos_iff, ArithmeticFunction.sigma_one, IsSemisimpleRing.exists_algEquiv_pi_matrix_divisionRing, WithBot.add_eq_three_iff, MvPowerSeries.coeff_one, MvPolynomial.coeff_single_X_pow, MvPolynomial.dvd_X_mul_iff, MonomialOrder.degree_X_sub_C, TensorPower.algebraMapā_eq_smul_one, MvPolynomial.coe_basisMonomials, exponent_eq_exponent_mul_factorization_of_prime_pow_eq_base_pow, Polynomial.degree_pos_of_ne_zero_of_nonunit, withBotSucc_zero, MonomialOrder.degree_mul_lt_iff_left_lt_of_ne_zero, MvPolynomial.mapRange_eq_map, MonomialOrder.degree_smul_le, factorization_zero, MvPolynomial.totalDegree_eq_zero_iff_eq_C, ArithmeticFunction.carmichael_two_pow_of_le_two_eq_totient, MvPowerSeries.coeff_expand_smul, Num.cast_to_nat, MvPolynomial.weightedTotalDegree_eq_zero_iff, Irreducible.degree_pos, Partition.toFinsuppAntidiag_injective, factorization_centralBinom_eq_zero_of_two_mul_lt, ArithmeticFunction.zeta_apply_ne, Squarefree.natFactorization_le_one, Polynomial.Monic.degree_pos, MvPowerSeries.evalā_eq_tsum, Multiset.toDFinsupp_replicate, MvPolynomial.rTensorAlgHom_toLinearMap, ArithmeticFunction.natCoe_one, MvPolynomial.coeff_sumSMulX, OrderedFinpartition.neZero_length, ArithmeticFunction.carmichael_dvd, MvPowerSeries.le_weightedOrder_subst, Finsupp.mapDomainEmbedding_apply, Multiset.uIcc_eq, MvPowerSeries.trunc'_expand, factorization_choose_of_lt_three_mul, Num.castNum_ldiff, Finsupp.multinomial_update, MvPowerSeries.monomial_zero_eq_C_apply, MonomialOrder.degree_mul_le, Finsupp.count_toMultiset, MvPolynomial.mem_restrictDegree, MvPolynomial.support_coeff_finSuccEquiv, ModEq.listSum_map_zero, Polynomial.toFinsupp_one, ArithmeticFunction.cardDistinctFactors_prod, MvPolynomial.supDegree_esymm, ENat.lift_zero, factorization_lt, MvPolynomial.eval_eq, MonomialOrder.sPolynomial_def, not_dvd_ordCompl, MvPolynomial.restrictSupport_zero, factorization_lcm, MonomialOrder.le_add_right, MvPolynomial.as_sum, MonomialOrder.degree_mul_of_left_mem_nonZeroDivisors, IsSemisimpleRing.exists_ringEquiv_pi_matrix_divisionRing, MvPolynomial.monomial_add_single, MonomialOrder.degree_pow_le, Num.succ_to_nat, factorization_ceilRoot, MvPolynomial.evalā_eq', MvPolynomial.eval_monomial, Relation.cutExpand_le_invImage_lex, MonomialOrder.degree_C, MvPolynomial.coeff_monomial_mul', MonomialOrder.toSyn_monotone, ArithmeticFunction.sigma_eq_prod_primeFactors_sum_range_factorization_pow_mul, MvPowerSeries.coeff_trunc', MvPolynomial.coeff_zero_X, Polynomial.rootOfSplits'_eq_rootOfSplits, MvPowerSeries.coeff_zero_mul_X, Polynomial.degree_intCast_le, Behrend.sphere_zero_subset, PosNum.to_int_eq_succ_pred, MvPowerSeries.coeff_inv_aux, DFinsupp.toMultiset_toDFinsupp, Finsupp.DegLex.lt_iff, MonomialOrder.degLex_single_le_iff, MvPolynomial.leadingCoeff_toLex_C, WithBot.lt_zero_iff, MvPolynomial.support_mul_X, PosNum.div'_to_nat, TensorPower.mul_one, MvPowerSeries.lexOrder_zero, Finsupp.degLex_def, ArithmeticFunction.sum_Ioc_zeta, sum_digits_ofDigits_eq_sum, MvPolynomial.support_esymm', dvd_iff_dvd_digits_sum, MvPolynomial.mem_support_coeff_optionEquivLeft, MvPowerSeries.coeff_trunc, Num.castNum_and, MvPolynomial.mkDerivation_monomial, Finsupp.ofSupportFinite_fin_two_eq, MvPolynomial.schwartz_zippel_sup_sum, MvPolynomial.mem_restrictSupport_iff, MvPolynomial.monic_esymm, Num.ofZNum_toNat, Finsupp.sum_nsmul, Finsupp.toMultiset_add, primeFactorsList_count_eq, Multiset.toFinsupp_singleton, MvPolynomial.eq_C_of_isEmpty, MvPolynomial.coeff_one, Multiset.toFinsupp_symm_apply, MvPolynomial.monomial_zero', setOf_pow_dvd_eq_Icc_factorization, MvPowerSeries.coeff_truncFun', MvPowerSeries.coeff_prod, factorization_choose', TensorPower.toTensorAlgebra_gOne, DFinsupp.toMultiset_inf, IsSemisimpleRing.exists_algEquiv_pi_matrix_of_isAlgClosed, factorization_choose_le_log, MvPolynomial.modMonomial_X, MvPolynomial.homogeneousComponent_apply, factorization_eq_zero_of_not_prime, ArithmeticFunction.carmichael_finset_lcm, ArithmeticFunction.cardDistinctFactors_zero, ArithmeticFunction.sigma_zero_apply_prime_pow, WithBot.one_le_iff_zero_lt, MvPolynomial.coeff_mul_X', MvPolynomial.prod_X_pow_eq_monomial, twoPowSum_bitIndices, MvPolynomial.constantCoeff_monomial, MvPolynomial.coeff_mul_X, Finsupp.multinomial_eq, Polynomial.degree_one_le, MvPolynomial.supDegree_toLex_C, Icc_factorization_eq_pow_dvd, factorization_le_iff_dvd, Polynomial.tendsto_nhds_iff, ordCompl_pos, MvPolynomial.optionEquivLeft_coeff_some_coeff_none, MvPowerSeries.coeff_zero_one, ordCompl_mul, Composition.blocks_sum, ordProj_le, Num.lt_to_nat, ArithmeticFunction.id_apply, factorization_le_factorization_choose_add, MvPolynomial.exists_mem_support_not_dvd_of_forall_totalDegree_le, ArithmeticFunction.sigma_eq_one_iff, Num.ppred_to_nat, Finsupp.prod_pow, Finsupp.sum_antidiagonal_swap, card_divisors, Module.Basis.symmetricAlgebra_repr_apply, Prime.factorization_self, MvPowerSeries.coeff_add_mul_monomial, MonomialOrder.degree_one, ArithmeticFunction.sigma_mono, MvPolynomial.totalDegree_eq_zero_iff, MvPowerSeries.monomial_pow, ordProj_dvd_ordProj_of_dvd, MvPolynomial.restrictSupport_nsmul, MvPolynomial.mem_support_finSuccEquiv, ModEq.listSum_zero, Polynomial.degree_one, MvPolynomial.X_dvd_iff_modMonomial_eq_zero, Finsupp.coe_orderIsoMultiset_symm, Sylow.card_eq_multiplicity, MvPolynomial.X_mul_divMonomial, MvPolynomial.monomial_mem_restrictSupport, Num.bit_to_nat, PosNum.mod'_to_nat, MvPowerSeries.coeff_zero_X_mul, MvPolynomial.esymmAlgHom_zero, factorization_centralBinom_of_two_mul_self_lt_three_mul, Finsupp.DegLex.single_le_iff, Polynomial.degree_zero_le, Polynomial.Monic.degree_pos_of_not_isUnit, MvPolynomial.degreeOf_eq_sup, MonomialOrder.sPolynomial_monomial_mul, Polynomial.isBoundedUnder_abs_atBot_iff, ordCompl_self_pow_mul, MvPolynomial.homogeneousComponent_zero, MvPolynomial.monomial_left_injective, IsSemisimpleModule.exists_end_ringEquiv, MvPolynomial.monomial_sum_index, MonomialOrder.degree_eq_zero_iff_totalDegree_eq_zero, MvPolynomial.monic_monomial_eq, MvPolynomial.image_support_finSuccEquiv, MvPolynomial.support_nonempty, MvPolynomial.pderiv_monomial_single, Polynomial.degree_pos_of_not_isUnit_of_dvd_monic, MvPolynomial.support_expand, MonomialOrder.degree_eq_zero_iff, MonomialOrder.degree_mem_support, factorization_one, Finsupp.antidiagonal_zero, TensorPower.list_prod_gradedMonoid_mk_single, MvPolynomial.support_monomial_subset, MvPolynomial.monomial_mul, MonomialOrder.toSyn_eq_zero_iff, PNat.mk_ofNat, ArithmeticFunction.carmichael_dvd_totient, MvPowerSeries.expand_monomial, ArithmeticFunction.cardDistinctFactors_eq_one_iff, FirstOrder.Ring.MvPolynomialSupportLEEquiv_symm_apply_coeff, MvPolynomial.support_X_pow, MvPolynomial.rTensor_symm_apply_single, MvPolynomial.pderiv_monomial, Polynomial.toFinsupp_eq_one, Polynomial.mem_closure_X_union_C, prod_pow_primeFactors_factorization, Algebra.Generators.toComp_toAlgHom_monomial, DFinsupp.toMultiset_injective, Multiset.toFinsupp_zero, IsSemisimpleModule.exists_end_algEquiv, Affine.Simplex.faceOpposite_point_eq_point_succAbove, Multiset.toFinsupp_toMultiset, MvPolynomial.esymmAlgHomMonomial_single_one, MonomialOrder.degree_prod_le, MvPolynomial.dvd_monomial_mul_iff_exists, MeasureTheory.upcrossingsBefore_eq_sum, Finsupp.DegLex.isStrictOrder, MonomialOrder.div_set, MvPolynomial.support_optionEquivLeft, MvPowerSeries.coeff_rescale, ZNum.abs_to_nat, EisensteinSeries.q_expansion_bernoulli, LSeries.one_convolution_eq_zeta_convolution, MvPolynomial.X_mul_modMonomial, tsum_prod_pow_eq_tsum_sigma, MvPowerSeries.WithPiTopology.hasSum_of_monomials_self, MonomialOrder.degree_zero, sum_zeckendorf_fib, ordProj_self_pow, IsAddTorsionFree.to_noZeroSMulDivisors_nat, exists_ordCompl_eq_one_iff_isPrimePow, Finsupp.degree_preimage_nsmul, factorization_le_factorization_mul_right, prod_factorization_eq_prod_primeFactors, factorization_eq_zero_iff_remainder, Prime.pow_dvd_iff_dvd_ordProj, ArithmeticFunction.LSeries_zeta_eq_riemannZeta, prod_pow_factorization_eq_self, Polynomial.degree_eq_zero_of_isUnit, MvPolynomial.rTensor_apply_monomial_tmul, IsSemisimpleModule.exists_end_ringEquiv_pi_matrix_divisionRing, MonomialOrder.degLex_lt_iff, MvPolynomial.coeff_X', Field.instNeZeroFinSepDegree, MvPowerSeries.coeff_truncFun, MonomialOrder.coeff_pow_nsmul_degree, Num.dvd_to_nat, WithBot.lt_one_iff_le_zero, MvPolynomial.constantCoeff_eq, HahnSeries.coeff_toMvPowerSeries_symm, factorization_eq_primeFactorsList_multiset, factorization_floorRoot, Matrix.toLinearMapā'_single, floorRoot_def, MonomialOrder.degree_pow, MvPowerSeries.coeff_zero_C, MvPowerSeries.coeff_monomial, MvPowerSeries.coeff_C, Finsupp.toFinset_toMultiset, ArithmeticFunction.carmichael_finset_prod, SchwartzMap.schwartzSeminormFamily_apply_zero, MvPolynomial.coeff_rTensorAlgHom_monomial_tmul, MvPolynomial.support_sum_monomial_coeff, MvPolynomial.esymmAlgHomMonomial_add, Polynomial.isBoundedUnder_abs_atTop_iff, neZero_totient, MvPowerSeries.lexOrder_eq_top_iff_eq_zero, Finsupp.Lex.single_antitone, Multiset.toFinsupp_eq_iff, ArithmeticFunction.LSeriesSummable_zeta_iff, MvPolynomial.coeffsIn_eq_span_monomial, Algebra.Generators.ofComp_toAlgHom_monomial_sumElim, ArithmeticFunction.cardDistinctFactors_mul, MvPolynomial.monomial_eq, MvPolynomial.homogeneousSubmodule_eq_finsupp_supported, totient_eq_prod_factorization, factorization_div, MvPolynomial.support_map_subset, factorization_choose_eq_zero_of_lt, centralBinom_factorization_small, IsSemisimpleRing.exists_ringEquiv_pi_matrix_end_mulOpposite, prod_pow_factorization_choose, MvPowerSeries.coeff_invOfUnit, MvPolynomial.esymm_eq_sum_monomial, Finsupp.toMultiset_sum, ArithmeticFunction.mul_zeta_apply, TensorPower.gOne_def, TensorPower.one_mul, Multiset.toDFinsupp_injective, factorization_prime_le_iff_dvd, CompositionAsSet.blocks_sum, AddAction.minimalPeriod_pos, sum_divisors, prod_primeFactors_prod_factorization, ArithmeticFunction.cardFactors_zero, MvPolynomial.restrictSupport_add, MvPolynomial.totalDegree_monomial_le, factorization_pow_self, IsSemisimpleModule.exists_end_algEquiv_pi_matrix_end, Polynomial.degree_le_zero_iff, MvPowerSeries.WithPiTopology.tendsto_trunc'_atTop, digit_sum_le, Submonoid.mem_closure_range_iff, MvPowerSeries.coeff_zero_X, Multiset.toDFinsupp_le_toDFinsupp, Multiset.toDFinsupp_toMultiset, Polynomial.isUnit_iff_degree_eq_zero, Polynomial.degree_pos_of_aeval_root, ArithmeticFunction.cardDistinctFactors_one, ArithmeticFunction.carmichael_eq_exponent', MonomialOrder.sPolynomial_monomial_mul', HahnSeries.coeff_toMvPowerSeries, Multiset.toDFinsupp_singleton, factorization_eq_card_pow_dvd, MvPolynomial.support_divMonomial, CompositionAsSet.mem_boundaries_iff_exists_blocks_sum_take_eq, MvPolynomial.C_mul_X_pow_eq_monomial, factorization_eq_count, factorization_factorial_mul_succ, sub_one_mul_sum_div_pow_eq_sub_sum_digits, OrderedFinpartition.neZero_partSize, MvPolynomial.support_zero, factorization_ordCompl, EisensteinSeries.G2_eq_tsum_cexp, MvPolynomial.optionEquivLeft_monomial, multiplicative_factorization, MvPowerSeries.substAlgHom_monomial, Polynomial.coeff_homogenize, Finsupp.DegLex.instIsOrderedCancelAddMonoidDegLexNat, factorizationEquiv_inv_apply, ArithmeticFunction.LSeriesHasSum_zeta, PosNum.divMod_to_nat, tsum_eisSummand_eq_tsum_sigma_mul_cexp_pow, MvPolynomial.mem_support_coeff_finSuccEquiv, factorization_eq_zero_iff', MvPolynomial.support_sub, ArithmeticFunction.cardDistinctFactors_pos, ArithmeticFunction.pow_apply, Polynomial.abs_isBoundedUnder_iff, Finsupp.weight_sub_single_add, ArithmeticFunction.carmichael_eq_exponent, MonomialOrder.lex_lt_iff, sub_one_mul_factorization_factorial, MvPowerSeries.aeval_eq_sum, Polynomial.natDegree_eq_zero_iff_degree_le_zero, MvPolynomial.support_esymm'', ordProj_dvd, Num.cmp_to_nat, MvPolynomial.divMonomial_zero, MvPolynomial.sum_monomial_eq, MvPolynomial.degrees_monomial_eq, WithBot.add_eq_zero_iff, Num.to_nat_to_int, MvPolynomial.pUnitAlgEquiv_monomial, MvPolynomial.coeff_monomial, MvPolynomial.coeff_mul_monomial, MvPolynomial.evalā_eq, Associates.count_reducible, MvPolynomial.mem_ideal_span_monomial_image_iff_dvd, Num.ofZNum'_toNat, factorization_def, MvPolynomial.monomial_pow, Finsupp.prod_antidiagonal_swap, MvPolynomial.divMonomial_add_modMonomial_single, MonomialOrder.degree_prod, MvPowerSeries.monomial_zero_one, MvPowerSeries.monomial_one_eq, ArithmeticFunction.cardFactors_eq_zero_iff_eq_zero_or_one, MvPolynomial.evalā_monomial, coprime_ordCompl, Polynomial.degree_leadingCoeff_inv, Prime.pow_dvd_iff_le_factorization, MvPolynomial.coeff_mapRange, Finsupp.Colex.single_le_iff, MvPolynomial.monomial_one_dvd_monomial_one, factorization_factorial_le_div_pred, IsSemisimpleModule.exists_end_algEquiv_pi_matrix_divisionRing, sum_sum_digits_eq, MvPolynomial.coeff_X_mul, PowerSeries.expand_one, Polynomial.degree_pos_of_irreducible, MvPolynomial.mem_degrees, MvPowerSeries.monomial_eq, ArithmeticFunction.cardFactors_eq_one_iff_prime, Algebra.Generators.Hom.toAlgHom_monomial, Finsupp.DegLex.wellFoundedLT, HahnSeries.toMvPowerSeries_apply, modEq_three_digits_sum, Multiset.toDFinsupp_inter, IsSemisimpleRing.exists_algEquiv_pi_matrix_divisionRing_finite, Num.natSize_to_nat, Num.le_to_nat, MonomialOrder.degree_mul_of_isRegular_left, dvd_ordProj_of_dvd, factorization_pow, Cubic.degree_of_d_ne_zero', Finsupp.DegLex.le_iff, ordProj_pos, MvPolynomial.monomial_sum_one, Fin.instNeZeroNatHSubVal_mathlib, ordCompl_eq_self_iff_zero_or_not_dvd, prod_primeFactors_invOn_squarefree, MulAction.minimalPeriod_pos, ordProj_mul, factorization_eq_zero_of_remainder, ArithmeticFunction.sum_Ioc_sigma0_eq_sum_div, Finsupp.toMultiset_single, AddMonoid.neZero_exponent_of_finite, MvPowerSeries.coeff_subst_finite, MonomialOrder.div, Multiset.toDFinsupp_lt_toDFinsupp, MvPolynomial.scalarRTensor_symm_apply_single, ArithmeticFunction.natCoe_apply, MonomialOrder.lex_le_iff, Multiset.toDFinsupp_union, ArithmeticFunction.carmichael_mul, factorization_choose_prime_pow, Polynomial.degree_cyclotomic_pos, MonomialOrder.degree_sPolynomial_le, Polynomial.degree_pos_of_evalā_root, MonomialOrder.degree_X_add_C, MvPolynomial.mem_ideal_span_monomial_image, ArithmeticFunction.carmichael_factorization, MvPolynomial.mul_X_modMonomial, Num.mod_to_nat, factorization_choose, Num.to_nat_inj, Cubic.degree_of_c_eq_zero, MvPolynomial.IsSymmetric.antitone_supDegree, cast_list_sum, Module.rankAtStalk_eq_zero_of_subsingleton, Num.gcd_to_nat, MvPowerSeries.support_expand_subset, MonomialOrder.coeff_mul_of_degree_add, Num.castNum_testBit, MonomialOrder.degree_sub_leadingTerm_lt_degree, ArithmeticFunction.cardFactors_mul, MonomialOrder.coeff_sPolynomial_sup_eq_zero, MvPolynomial.rTensor_apply, MvPowerSeries.monomial_mul_monomial, Num.size_eq_natSize, ArithmeticFunction.natCoe_mul, MvPolynomial.aeval_monomial, MvPolynomial.leadingCoeff_toLex, modEq_nine_digits_sum, factorization_eq_zero_iff, MonomialOrder.degree_mul, MonomialOrder.degree_monomial_le, Finsupp.toMultiset_sup, Polynomial.natDegree_pos_iff_degree_pos, ArithmeticFunction.zeta_eq_zero, MvPolynomial.coeff_mul_monomial', MvPowerSeries.lexOrder_le_of_coeff_ne_zero, DFinsupp.toMultiset_inj, Prime.exists_addOrderOf_eq_pow_padic_val_nat_add_exponent, card_pair_lcm_eq, factorization_eq_zero_of_non_prime, MonomialOrder.degLex_single_lt_iff, MvPolynomial.modMonomial_add_divMonomial_single, Num.mul_to_nat, Finsupp.Colex.single_lt_iff, MvPolynomial.restrictSupport_eq_span, prod_pow_factorization_centralBinom, MonomialOrder.degree_sub_LTerm_lt, Finsupp.sub_single_one_add, FirstOrder.Ring.mvPolynomial_zeroLocus_definable, MvPolynomial.rank_eq, MonomialOrder.sPolynomial_lt_of_degree_ne_zero_of_degree_eq, ArithmeticFunction.cardFactors_one, DFinsupp.toMultiset_lt_toMultiset, Finsupp.DegLex.monotone_degree, MvPolynomial.support_symmDiff_support_subset_support_add, ArithmeticFunction.zeta_mul_apply, MvPolynomial.isEmptyRingEquiv_eq_coeff_zero, MvPolynomial.mem_coeffs_iff, MvPolynomial.X_divMonomial, StrictOrderedSemiring.toPosSMulStrictMonoNat, ordCompl_dvd, MvPolynomial.divMonomial_add, MvPowerSeries.monomial_smul_const, Cubic.degree_of_c_eq_zero', factorization_eq_zero_of_lt, Finsupp.Lex.single_le_iff, MvPowerSeries.hasSum_evalā, MonomialOrder.degree_prod_of_regular, Partition.coeff_genFun, factorization_gcd, ArithmeticFunction.carmichael_lcm, MvPolynomial.support_esymm, PosNum.to_nat_eq_succ_pred, MvPolynomial.scalarRTensor_apply_tmul_apply, MvPowerSeries.le_lexOrder_mul, WithBot.coe_nonneg, ArithmeticFunction.cardFactors_apply_prime, Finsupp.nsmul_single_one_image, Finsupp.DegLex.lt_def, Algebra.Generators.comp_Ļ, MvPolynomial.support_smul, MvPowerSeries.monomial_smul_eq, Finsupp.sum_eq_one_iff, ArithmeticFunction.sigma_eq_sum_div, MvPolynomial.coeff_zero_one, MvPolynomial.support_X, factorization_inj, Finsupp.toMultiset_sum_single, factorization_prod, Multiset.toFinsupp_support, Num.pred_to_nat, Finsupp.weight_eq_zero_iff_eq_zero, Finsupp.toMultiset_map, PerfectClosure.mk_zero, MvPolynomial.monomial_single_add, MvPolynomial.support_X_mul, MonomialOrder.degree_mul', MvPolynomial.degreeOf_monomial_eq, bitIndices_twoPowsum, factorization_mul_of_coprime, Multiset.toFinsupp_strictMono, MonomialOrder.degree_sPolynomial_lt_sup_degree, isPrimePow_iff_minFac_pow_factorization_eq, ArithmeticFunction.cardFactors_apply_prime_pow, MvPolynomial.coeff_expand_zero, Finsupp.toMultiset_inf, support_factorization, MvPowerSeries.LinearTopology.hasBasis_nhds_zero, Polynomial.Monic.degree_le_zero_iff_eq_one, IsSemisimpleModule.exists_end_ringEquiv_pi_matrix_end, ordCompl_self_pow, MvPolynomial.support_C, MvPowerSeries.monomial_eq', MonomialOrder.degree_sub_leadingTerm_lt_iff, factorization_zero_right, pow_factorization_choose_le, Finsupp.coe_orderIsoMultiset, MonomialOrder.degree_mul_of_right_mem_nonZeroDivisors, factorization_le_of_le_pow, MonomialOrder.degree_sub_leadingTerm_le, Field.instNeZeroFinInsepDegree, MvPolynomial.rank_eq_lift, Prime.sub_one_mul_multiplicity_factorial, Finsupp.lt_wf, MvPolynomial.coeff_mul, Finsupp.DegLex.single_strictAnti, factorization_eq_of_coprime_left, factorization_one, MvPolynomial.bindā_monomial, MvPolynomial.degreeOf_lt_iff, Multiset.toDFinsupp_inj, MvPowerSeries.coeff_mul, MvPolynomial.vars_monomial_single, Polynomial.degree_natCast_le, Polynomial.degree_coe_units, Finsupp.Colex.single_strictMono, Polynomial.natDegree_list_prod_le, instPosSMulStrictMonoNatOfIsOrderedAddMonoid, MvPowerSeries.lexOrder_mul_ge, ArithmeticFunction.carmichael_two_pow_of_ne_two, Finsupp.toMultiset_eq_iff, ArithmeticFunction.toFun_eq, MvPowerSeries.coeff_add_monomial_mul, MonomialOrder.degree_sub_LTerm_le, factorization_le_factorization_of_dvd_right, ordCompl_of_not_prime, MonomialOrder.lex_le_iff_of_unique, MonomialOrder.sPolynomial_mul_monomial, MonomialOrder.degree_prod_of_mem_nonZeroDivisors, factorization_factorial_mul, ArithmeticFunction.cardDistinctFactors_eq_cardFactors_iff_squarefree, MvPowerSeries.prod_monomial, MonomialOrder.degree_pow_of_pow_leadingCoeff_ne_zero, MvPowerSeries.prod_smul_X_eq_smul_monomial_one, MonomialOrder.sPolynomial_leadingTerm_mul, squarefree_iff_factorization_le_one, Polynomial.homogenize_monomial, List.sum_fixedLengthDigits_sum, Finsupp.DegLex.wellFounded, MonomialOrder.degree_sPolynomial, Num.add_to_nat, Polynomial.degree_C_le, MvPolynomial.monomial_dvd_monomial, MonomialOrder.degree_X_le_single, card_finMulAntidiag_of_squarefree, Finsupp.image_pow_eq_finsuppProd_image, zeckendorf_sum_fib, factorization_factorial_eq_zero_of_lt, MvPolynomial.rTensorAlgHom_apply_eq, List.getElem_splitWrtCompositionAux
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