| { | |
| "total_valid_proofs": 2000, | |
| "total_no_tactics": 980, | |
| "deliminter": "**", | |
| "no_tactics": [ | |
| "PrimeSpectrum.zeroLocus_union", | |
| "Multiset.toDFinsupp_inj", | |
| "NNRat.coe_le_coe", | |
| "Int.floor_lt", | |
| "AlgEquiv.toLieEquiv_apply", | |
| "Antitone.directed_le", | |
| "Differentiable.clm_comp", | |
| "MeasureTheory.AEEqFun.coeFn_div", | |
| "Int.two_dvd_ne_zero", | |
| "imp_imp_imp", | |
| "AnalyticAt.neg", | |
| "LocalHomeomorph.nhdsWithin_target_inter", | |
| "Measurable.sinh", | |
| "HomologicalComplex.id_f", | |
| "Finsupp.lex_def", | |
| "LocalHomeomorph.restr_trans", | |
| "FreeMonoid.smul_def", | |
| "AddEquiv.coe_toLinearEquiv", | |
| "contMDiffWithinAt_univ", | |
| "LinearMap.comp_smul", | |
| "ContMDiff.comp_contMDiffOn", | |
| "StarSubalgebra.coe_sInf", | |
| "RingEquiv.coe_monoidHom_trans", | |
| "Part.mod_def", | |
| "BoxIntegral.TaggedPrepartition.distortion_disjUnion", | |
| "Set.Iic_bot", | |
| "Finset.weightedVSub_const_smul", | |
| "CompositionSeries.coe_append", | |
| "Subgroup.comap_le_comap_of_surjective", | |
| "FiberBundleCore.localTrivAsLocalEquiv_coe", | |
| "WithBot.some_eq_coe", | |
| "UpperHalfPlane.continuous_coe", | |
| "OrderMonoidHom.coe_mul", | |
| "Continuous.restrictPreimage", | |
| "Set.sups_nonempty", | |
| "LinearIsometryEquiv.coe_refl", | |
| "SemidirectProduct.inl_inj", | |
| "ContinuousOn.fin_insertNth", | |
| "LinearMap.isIntegral", | |
| "IsTop.Iic_eq", | |
| "LocalHomeomorph.injOn", | |
| "Sum.Ioc_inl_inl", | |
| "Int.ofNat_div", | |
| "Order.pred_le", | |
| "equivalence_of_manyOneEquiv", | |
| "HahnSeries.single_ne_zero", | |
| "Matrix.vec_single_eq_const", | |
| "Commute.symm", | |
| "EuclideanGeometry.concyclic_pair", | |
| "Matrix.updateColumn_ne", | |
| "AddCommGroup.ModEq.sub_left", | |
| "QuotientAddGroup.equivIcoMod_coe", | |
| "List.set_nil", | |
| "List.disjoint_of_subset_left", | |
| "ProbabilityTheory.indepSets_of_indepSets_of_le_left", | |
| "Subsingleton.eq_univ_of_nonempty", | |
| "mdifferentiable_const", | |
| "Subtype.mk_lt_mk", | |
| "Option.none_orElse", | |
| "sInf_image2_eq_sSup_sSup", | |
| "NFA.eval_append_singleton", | |
| "lowerSemicontinuous_ciSup", | |
| "symm_trans_mem_contDiffGroupoid", | |
| "intervalIntegral.integral_nonneg", | |
| "PrimeSpectrum.zeroLocus_singleton_one", | |
| "Set.Ioc_eq_empty_of_le", | |
| "ContinuousAlternatingMap.toContinuousMultilinearMap_add", | |
| "Real.continuousOn_exp", | |
| "ONote.NF.snd", | |
| "Vector.replicate_succ", | |
| "List.exists_of_length_succ", | |
| "isMaxOn_const", | |
| "Set.ssubset_of_ssubset_of_subset", | |
| "SetTheory.PGame.le_of_le_of_equiv", | |
| "Matrix.isDiag_zero", | |
| "CategoryTheory.Limits.pushout.condition", | |
| "Set.infs_sups_subset_left", | |
| "AlgebraicGeometry.StructureSheaf.stalkToFiberRingHom_germ'", | |
| "AntitoneOn.map_bddAbove", | |
| "CategoryTheory.Idempotents.karoubiUniversal_functor_eq", | |
| "RingEquiv.prodProdProdComm_toAddEquiv", | |
| "IsSimpleModule.congr", | |
| "IsLinearMap.convexHull_image", | |
| "BoxIntegral.Prepartition.not_mem_bot", | |
| "AffineSubspace.SSameSide.trans", | |
| "Set.mulIndicator_empty'", | |
| "Polynomial.Monic.irreducible_of_degree_eq_one", | |
| "Std.RBNode.find?_some_memP", | |
| "MeasureTheory.Measure.measurable_bind'", | |
| "NonUnitalStarAlgHom.range_comp_le_range", | |
| "Fin.insertNth_sub", | |
| "LinearMap.quotKerEquivRange_apply_mk", | |
| "MeasureTheory.restrict_Ioo_eq_restrict_Ico", | |
| "DomMulAct.mk_smul_addMonoidHom_apply", | |
| "Ring.lie_def", | |
| "IsBot.mono", | |
| "Submodule.restrictScalars_injective", | |
| "Multiset.subset_iff", | |
| "Embedding.t3Space", | |
| "Nat.dvd_sub_mod", | |
| "Finset.card_mul_eq_card_mul", | |
| "IsLeftRegular.right_of_commute", | |
| "QuaternionAlgebra.coe_nat_cast", | |
| "EuclideanGeometry.orthogonalProjection_mem_orthogonal", | |
| "Ordinal.sup_le", | |
| "ProbabilityTheory.kernel.indepSets_of_indepSets_of_le_left", | |
| "Option.iget_mem", | |
| "zpow_bit0_pos", | |
| "QuotientGroup.map_id", | |
| "isCompact_accumulate", | |
| "IsometryEquiv.mulLeft_symm", | |
| "CircleDeg1Lift.translationNumber_le_ceil_sub", | |
| "NonUnitalAlgebra.mem_top", | |
| "MeasurableEquiv.restrict_map", | |
| "Lean.Elab.Command.$n_def", | |
| "Localization.mk_eq_mk_iff", | |
| "Filter.tendsto_iInf'", | |
| "Submonoid.subset_closure", | |
| "minimals_inter_subset", | |
| "equivalence_of_oneOneEquiv", | |
| "String.next_of_valid", | |
| "CategoryTheory.Presieve.bind_comp", | |
| "Int.negSucc_mul_ofNat", | |
| "Hyperreal.infiniteNeg_mul_of_not_infinitesimal_neg_infinitePos", | |
| "Metric.closure_sphere", | |
| "SameRay.nonneg_smul_left", | |
| "MonoidHom.coe_comp", | |
| "MulAction.card_eq_sum_card_group_div_card_stabilizer", | |
| "CategoryTheory.Limits.mono_of_isLimit_fork", | |
| "List.maximum_eq_none", | |
| "ENat.one_le_iff_pos", | |
| "List.getI_append_right", | |
| "Polynomial.isRoot_of_aeval_algebraMap_eq_zero", | |
| "Set.einfsep_pair_eq_inf", | |
| "CategoryTheory.Limits.Types.Limit.map_\u03c0_apply'", | |
| "CategoryTheory.Monad.leftAdjoint_forget", | |
| "reflection_inv", | |
| "Continuous.comp_aestronglyMeasurable", | |
| "MeasurableSpace.isPiSystem_measurableSet", | |
| "Thunk.prod_get_snd", | |
| "CategoryTheory.sum.inverseAssociator_obj_inl", | |
| "WithOne.cases_on", | |
| "IsCompl.inf_sup", | |
| "SimpleGraph.ConnectedComponent.connectedComponentMk_mem", | |
| "HasStrictFDerivAt.exists_lipschitzOnWith", | |
| "Submodule.closure_le_toAddSubmonoid_span", | |
| "Order.Ideal.IsProper.ne_top", | |
| "Continuous.if", | |
| "Matrix.circulant_add", | |
| "prod_finprod_comm", | |
| "UpperSet.compl_le_compl", | |
| "StrictMono.coe_orderIsoOfSurjective", | |
| "Num.toZNumNeg_succ", | |
| "RingHom.finite_iff_isIntegral_and_finiteType", | |
| "Dilation.ext", | |
| "Quaternion.mul_star_eq_coe", | |
| "LatticeHom.cancel_right", | |
| "DFinsupp.subtypeDomain_zero", | |
| "Set.Ico_eq_empty", | |
| "Int.natAbs_ne_zero_of_ne_zero", | |
| "Matrix.blockDiagonal_inj", | |
| "Polynomial.mod_def", | |
| "IsROrC.ofReal_ofNat", | |
| "Finset.insert_val", | |
| "OpenEmbedding.continuous", | |
| "Ideal.map_comap_le", | |
| "Finset.Nat.antidiagonalTuple_two", | |
| "ManyOneEquiv.congr_right", | |
| "Equiv.Perm.sign_trans_trans_symm", | |
| "CategoryTheory.section_comp_right", | |
| "AlgebraicGeometry.IsOpenImmersion.to_iso", | |
| "BilinForm.toMatrixAux_apply", | |
| "Nat.ArithmeticFunction.one_one", | |
| "Set.WellFoundedOn.mono'", | |
| "Matrix.TransvectionStruct.det", | |
| "NNReal.zero_rpow", | |
| "ContinuousLinearEquiv.map_add", | |
| "ProbabilityTheory.IdentDistrib.const_mul", | |
| "Complex.not_le_zero_iff", | |
| "MeasureTheory.AEStronglyMeasurable.mem\u2112p_truncation", | |
| "uniformity_basis_edist_nnreal_le", | |
| "SetTheory.PGame.add_right_neg_equiv", | |
| "SimpleGraph.sum_degrees_eq_twice_card_edges", | |
| "CategoryTheory.Limits.HasImage.of_arrow_iso", | |
| "Mathlib.Meta.Positivity.mul_nonneg_of_nonneg_of_pos", | |
| "AddEquiv.mapMatrix_symm", | |
| "powersMulHom_apply", | |
| "Equiv.Perm.IsCycle.zpowersEquivSupport_apply", | |
| "Set.mem_insert_iff", | |
| "Matrix.eq_zero_of_forall_pow_sum_mul_pow_eq_zero", | |
| "ZFSet.mem_sUnion", | |
| "MeasureTheory.AECover.integral_eq_of_tendsto_of_nonneg_ae", | |
| "Matrix.kroneckerTMul_zero", | |
| "TopologicalSpace.subset_trans", | |
| "Set.image_add_const_Ioo", | |
| "OrderMonoidHom.comp_mul", | |
| "exists_unique_iff_exists", | |
| "Filter.map_smul", | |
| "Hausdorffification.induction_on", | |
| "Stream'.map_eq_apply", | |
| "Submonoid.inv_bot", | |
| "MulOpposite.unop_add", | |
| "Turing.PartrecToTM2.trNat_natEnd", | |
| "Primrec.succ", | |
| "one_sub_div", | |
| "iSup_ite", | |
| "Matrix.kronecker_one", | |
| "Ideal.coeff_zero_mem_comap_of_root_mem", | |
| "List.findSome?_cons", | |
| "ContinuousLinearMap.hasFDerivAt_of_bilinear", | |
| "Rat.ofNat_num", | |
| "LinearMap.toContinuousLinearMap\u2081_coe", | |
| "Module.End.generalizedEigenspace_le_generalizedEigenspace_finrank", | |
| "Setoid.finite_classes_ker", | |
| "Collinear.finiteDimensional_direction_affineSpan", | |
| "EMetric.preimage_mul_left_ball", | |
| "ConjAct.forall", | |
| "isSeparable_tower_top_of_isSeparable", | |
| "Metric.isBounded_range_of_tendsto_cofinite", | |
| "LieModule.coe_linearMap_maxTrivLinearMapEquivLieModuleHom_symm", | |
| "Summable.op", | |
| "RingHom.congr_arg", | |
| "IsGLB.mem_of_isClosed", | |
| "continuous_nnnorm'", | |
| "Polynomial.derivative_add", | |
| "ne_iff_lt_iff_le", | |
| "Balanced.union", | |
| "hasMFDerivWithinAt_extChartAt", | |
| "MvPolynomial.support_sum_monomial_coeff", | |
| "Filter.top_mul_top", | |
| "ContinuousLinearMap.op_norm_le_of_nhds_zero", | |
| "IndexedPartition.exists_mem", | |
| "lowerBounds_upperClosure", | |
| "MeasureTheory.OuterMeasure.map_iInf_le", | |
| "ContinuousMap.Homotopic.prodMk", | |
| "Matrix.mul_mul_left", | |
| "EuclideanGeometry.oangle_rev", | |
| "LucasLehmer.norm_num_ext.isNat_not_lucasLehmerTest", | |
| "PEquiv.trans_assoc", | |
| "Module.Ray.ind", | |
| "CategoryTheory.Limits.MultispanIndex.multispan_map_snd", | |
| "Finset.card_powerset", | |
| "one_lt_pow_iff", | |
| "finite_iff_nonempty_fintype", | |
| "FiniteField.card'", | |
| "Metric.continuous_infNndist_pt", | |
| "RingEquiv.sofLeftInverse'_apply", | |
| "LieHom.zero_apply", | |
| "Subgroup.IsComplement'.disjoint", | |
| "IsROrC.conjCle_apply", | |
| "FractionalIdeal.coeToSet_coeToSubmodule", | |
| "TrivSqZeroExt.snd_neg", | |
| "QuadraticForm.coeFn_neg", | |
| "Finset.Icc_subset_Ioc_iff", | |
| "MeasureTheory.Integrable.lintegral_lt_top", | |
| "Submodule.eq_top_iff'", | |
| "BoundedOrderHom.coe_comp_orderHom", | |
| "AlternatingMap.map_zero", | |
| "isClosedMap_ofDual", | |
| "InitialSeg.Antisymm.aux", | |
| "Function.invFunOn_eq", | |
| "IntermediateField.adjoin_nat", | |
| "Polynomial.cyclotomic'_ne_zero", | |
| "MeasureTheory.SimpleFunc.coe_const", | |
| "Function.onFun_apply", | |
| "Finsupp.total_id_surjective", | |
| "CategoryTheory.Functor.mapPresheaf_obj_presheaf", | |
| "antivaryOn_id_iff", | |
| "Derivation.mk_coe", | |
| "Set.Nonempty.vsub", | |
| "MeasureTheory.BorelCantelli.integrable_process", | |
| "RingHom.map_add", | |
| "ProbabilityTheory.iIndepFun.indepFun_finset_prod_of_not_mem", | |
| "LinearMap.splittingOfFunOnFintypeSurjective_injective", | |
| "Subsemiring.coe_add", | |
| "isOpenMap_snd", | |
| "toMul_sum", | |
| "PrimeSpectrum.zeroLocus_radical", | |
| "PhragmenLindelof.eqOn_quadrant_I", | |
| "IsSimpleOrder.eq_bot_of_lt", | |
| "AlgHom.ext_of_adjoin_eq_top", | |
| "Mathlib.Meta.Positivity.nnreal_coe_pos", | |
| "Submodule.inner_right_of_mem_orthogonal", | |
| "ProbabilityTheory.IndepSets.inter", | |
| "AffineIsometryEquiv.dist_map", | |
| "FreeMonoid.toList_symm", | |
| "Subsemigroup.mem_top", | |
| "inv_lt_one_of_one_lt", | |
| "LowerSemicontinuous.measurable", | |
| "Perfection.hom_ext", | |
| "isUnit_iff_forall_dvd", | |
| "FirstOrder.Language.age.hereditary", | |
| "Cardinal.power_zero", | |
| "Continuous.dist", | |
| "Submodule.span_span", | |
| "EReal.bot_sub", | |
| "Continuous.smul", | |
| "RingEquiv.ofLeftInverse_symm_apply", | |
| "Real.arsinh_inj", | |
| "Finset.EquitableOn.le_add_one", | |
| "Function.Commute.iterate_iterate_self", | |
| "OnePoint.infty_mem_opensOfCompl", | |
| "Nat.fib_bit0_succ", | |
| "NNReal.coe_zero", | |
| "Matrix.zero_empty", | |
| "ModuleCat.MonoidalCategory.hom_apply", | |
| "CauSeq.add_apply", | |
| "Finset.isLeast_min'", | |
| "Tropical.injective_untrop", | |
| "LinearEquiv.ofEq_symm", | |
| "connectedComponents_lift_unique'", | |
| "holderWith_one", | |
| "Set.prod_self_ssubset_prod_self", | |
| "ConvexCone.mem_closure", | |
| "SmoothBumpCovering.toSmoothPartitionOfUnity_eq_mul_prod", | |
| "indicator_ae_eq_restrict", | |
| "AlternatingMap.coe_domDomCongr", | |
| "Set.range_restrict", | |
| "ENNReal.nhdsWithin_Ioi_coe_neBot", | |
| "Int.one_le_abs", | |
| "HomotopyCategory.quotient_obj_as", | |
| "ValuationSubring.mem_pointwise_smul_iff_inv_smul_mem", | |
| "OneOneEquiv.le_congr_left", | |
| "Submodule.complete_of_finiteDimensional", | |
| "Function.Embedding.coe_quotientOut", | |
| "smoothOn_pi_space", | |
| "TrivSqZeroExt.continuous_snd", | |
| "MeasureTheory.tendstoInMeasure_of_tendsto_Lp", | |
| "Set.bijective_iff_bijOn_univ", | |
| "NonUnitalRingHom.coe_mul", | |
| "Finset.max_le", | |
| "isGreatest_Ioc", | |
| "SmoothBumpFunction.tsupport_subset_extChartAt_source", | |
| "Ordinal.type_preimage", | |
| "ContinuousOn.const_smul", | |
| "Polynomial.map_multiset_prod", | |
| "Function.mulSupport_max", | |
| "MeasureTheory.Integrable.congr'", | |
| "BoxIntegral.Box.ne_of_disjoint_coe", | |
| "MeasureTheory.IsFundamentalDomain.restrict_restrict", | |
| "Homeomorph.continuousMapOfUnique_apply", | |
| "IsLocalization.surj", | |
| "Finsupp.sub_single_one_add", | |
| "Finset.union_subset_union_left", | |
| "Hamming.ofHamming_neg", | |
| "factorial_tendsto_atTop", | |
| "Submodule.coe_inner", | |
| "CategoryTheory.op_tensorObj", | |
| "RingHom.map_iterate_frobenius", | |
| "DenseEmbedding.mk'", | |
| "Dilation.tendsto_nhds_iff", | |
| "BoxIntegral.Box.measurableSet_Icc", | |
| "Codisjoint.eq_top", | |
| "AlgebraicTopology.DoldKan.PInfty_f_0", | |
| "div_lt_div_right'", | |
| "HasFDerivAt.norm_sq", | |
| "Filter.tendsto_iff_forall_eventually_mem", | |
| "Sum.inl_le_inl_iff", | |
| "swap_comp_bipointedToPointedSnd", | |
| "and_iff_left_iff_imp", | |
| "closure_smul", | |
| "Ideal.mul_le", | |
| "eventually_norm_pow_le", | |
| "NonUnitalSubring.closure_univ", | |
| "Subalgebra.centralizer_le", | |
| "AffineMap.lineMap_apply_module'", | |
| "FirstOrder.Language.Formula.realize_inf", | |
| "CategoryTheory.AdditiveFunctor.ofLeftExact_map", | |
| "Nat.lt_succ_of_lt", | |
| "Set.eval_image_univ_pi", | |
| "Nat.gcd_gcd_self_right_left", | |
| "CategoryTheory.Limits.span_map_fst", | |
| "List.mem_of_mem_erase", | |
| "PowerSeries.map_id", | |
| "IsPrimePow.two_le", | |
| "Wcovby.snd", | |
| "MultilinearMap.map_smul", | |
| "IsExposed.isCompact", | |
| "MeasureTheory.snormEssSup_const_smul_le", | |
| "Balanced.smul_eq", | |
| "Coheyting.boundary_bot", | |
| "SimpleGraph.Walk.isPath_def", | |
| "UpperHalfPlane.im_pos", | |
| "Matrix.fromBlocks_apply\u2081\u2082", | |
| "continuousAt_star", | |
| "Matrix.blockDiag'_smul", | |
| "IsROrC.ofReal_re", | |
| "Prod.fst_toSigma", | |
| "Submodule.carrier_inj", | |
| "min_left_commutative", | |
| "CategoryTheory.IsPullback.of_hasBinaryProduct'", | |
| "LinearEquiv.symm_conj_apply", | |
| "LinearEquiv.ofSubmodule'_apply", | |
| "Ordnode.Valid'.of_lt", | |
| "CategoryTheory.Limits.limLax_obj'", | |
| "List.card_nil", | |
| "IsSepClosed.exists_aeval_eq_zero", | |
| "CategoryTheory.IsPushout.of_isColimit'", | |
| "GroupNorm.sup_apply", | |
| "MulOpposite.op_add", | |
| "SpectralMap.comp_id", | |
| "Primrec.nat_rec\u2081", | |
| "ENNReal.inv_lt_inv'", | |
| "Con.lift_surjective_of_surjective", | |
| "NonUnitalSubalgebra.coe_prod", | |
| "continuousWithinAt_left_of_monotoneOn_of_exists_between", | |
| "Stream'.head_zip", | |
| "Equiv.Perm.card_cycleType_pos", | |
| "Metric.ball_infDist_compl_subset", | |
| "Set.countable_iff_exists_injective", | |
| "Asymptotics.isLittleO_abs_right", | |
| "measurable_from_top", | |
| "SimpleGraph.ConnectedComponent.exact", | |
| "Ordinal.toPGame_injective", | |
| "derivWithin_mul_const", | |
| "ApproximatesLinearOn.closedBall_subset_target", | |
| "Hamming.nnnorm_eq_hammingNorm", | |
| "Polynomial.commute_X", | |
| "Option.mem_def", | |
| "fderiv_clm_comp", | |
| "gal_mul_isSolvable", | |
| "Quiver.symmetrify_reverse", | |
| "Real.openEmbedding_exp", | |
| "Submodule.iSup_mul", | |
| "contMDiffOn_extChartAt", | |
| "FractionalIdeal.coeIdeal_bot", | |
| "Ordinal.nadd_le_nadd_iff_left", | |
| "ContDiffAt.contDiffBump", | |
| "WithTop.coe_untop'_le", | |
| "Filter.le_map\u2082_iff", | |
| "nndist_triangle_left", | |
| "MonotoneOn.set_prod", | |
| "hasBinaryProducts_of_hasTerminal_and_pullbacks", | |
| "has_deriv_within_taylorWithinEval_at_Icc", | |
| "List.destutter_nil", | |
| "RingEquiv.restrictRootsOfUnity_symm", | |
| "Sum.getLeft_inl", | |
| "MeasureTheory.AEEqFun.coeFn_compMeasurePreserving", | |
| "AlgebraicTopology.DoldKan.PInfty_f", | |
| "DirectSum.decompose_add", | |
| "IntermediateField.inf_toSubfield", | |
| "le_imp_le_of_lt_imp_lt", | |
| "BilinForm.isRefl_neg", | |
| "WithOne.coe_unone", | |
| "Polynomial.constantCoeff_coe", | |
| "true_imp_iff", | |
| "NonUnitalSubsemiring.coe_mul", | |
| "WithOne.coe_mul", | |
| "Ne.ne_or_ne", | |
| "Subalgebra.pointwise_smul_toSubsemiring", | |
| "measurableSet_closedBall", | |
| "Set.union_star", | |
| "Ordinal.bsup_lt_ord_lift", | |
| "Filter.Frequently.mem_of_closed", | |
| "Matrix.diagonal_kronecker", | |
| "intervalIntegral.integral_hasDerivWithinAt_right", | |
| "t1Space_iff_disjoint_pure_nhds", | |
| "Fin.induction_zero", | |
| "DirectSum.of_zero_smul", | |
| "mul_inf", | |
| "Set.Nonempty.of_infs_right", | |
| "StarAlgHom.copy_eq", | |
| "ContinuousOn.continuousAt", | |
| "bddAbove_singleton", | |
| "PrincipalSeg.codRestrict_top", | |
| "CliffordAlgebra.changeForm_comp_changeForm", | |
| "Turing.Tape.mk'_right", | |
| "Hyperreal.coe_ofNat", | |
| "Complex.continuousOn_sin", | |
| "MeasureTheory.ProbabilityMeasure.toWeakDualBCNN_continuous", | |
| "isUnit_exp_of_mem_ball", | |
| "Nonneg.coe_add", | |
| "CauSeq.const_pos", | |
| "QuadraticForm.Equivalent.prod", | |
| "Asymptotics.IsBigO.mono", | |
| "DomMulAct.smul_monoidHom_apply", | |
| "Subsemiring.coe_one", | |
| "ContinuousLinearMap.le_of_op_norm\u2082_le_of_le", | |
| "mapsTo_extChartAt", | |
| "Set.iUnion_unpair", | |
| "Con.inf_def", | |
| "Matrix.UnitaryGroup.coe_toGL", | |
| "Set.sUnion_subset_sUnion", | |
| "MeasureTheory.Martingale.supermartingale", | |
| "Encodable.decode_nat", | |
| "ULiftable.up_down", | |
| "Filter.Iio_mem_atBot", | |
| "ContDiffAt.comp", | |
| "Function.id_def", | |
| "Matrix.toBilin'_toMatrix'", | |
| "Multiset.mem_dedup", | |
| "Hyperreal.infinitePos_iff_infinite_and_pos", | |
| "CategoryTheory.nonempty_isLeftAdjoint_iff_hasTerminal_costructuredArrow", | |
| "LocalHomeomorph.trans_source", | |
| "TypeVec.appendFun_inj", | |
| "Metric.self_subset_thickening", | |
| "Polynomial.mem_map_range", | |
| "NonUnitalSubsemiring.mem_center_iff", | |
| "add_tsub_cancel_iff_le", | |
| "Filter.EventuallyEq.rfl", | |
| "MeasureTheory.Measure.Subtype.volume_def", | |
| "Function.Surjective.forall\u2083", | |
| "FiniteField.X_pow_card_pow_sub_X_ne_zero", | |
| "exists_nhds_one_split", | |
| "Set.nonempty_Ioo", | |
| "FundamentalGroupoidFunctor.coneDiscreteComp_obj_mapCone", | |
| "Nat.choose_mono", | |
| "Dilation.coe_mk", | |
| "FractionalIdeal.mul_right_strictMono", | |
| "isAtomic_iff_isCoatomic", | |
| "Antitone.map_sInf_of_continuousAt'", | |
| "ContinuousLinearMap.extendTo\ud835\udd5c'_apply", | |
| "Primrec\u2082.encode_iff", | |
| "CategoryTheory.Sieve.pushforward_apply_comp", | |
| "LinearMap.coe_mul", | |
| "IsROrC.normSq_one", | |
| "Vector.empty_toList_eq_ff", | |
| "String.isEmpty_iff", | |
| "Subring.pointwise_smul_def", | |
| "AlgebraicTopology.DoldKan.PInfty_f_naturality", | |
| "Function.surjective_eval", | |
| "MeasureTheory.L1.SimpleFunc.setToL1SCLM_nonneg", | |
| "map_mk_unit_aux", | |
| "ProbabilityTheory.lintegral_mul_eq_lintegral_mul_lintegral_of_indepFun''", | |
| "quotientMap_iff", | |
| "HasStrictDerivAt.sqrt", | |
| "MulAction.exists_smul_eq", | |
| "card_sylow_eq_card_quotient_normalizer", | |
| "Asymptotics.IsBigOWith.exists_pos", | |
| "ConvexBody.coe_smul", | |
| "NormedAddGroupHom.coe_inj_iff", | |
| "LieHom.rangeRestrict_apply", | |
| "LinearMap.ker_fst", | |
| "Subfield.mk_le_mk", | |
| "MeasureTheory.set_integral_congr\u2080", | |
| "CategoryTheory.Limits.WidePullbackShape.hom_id", | |
| "TopologicalSpace.gc_generateFrom", | |
| "List.Disjoint.symm", | |
| "csInf_le_csInf", | |
| "IsTotal.swap", | |
| "BilinForm.toQuadraticForm_apply", | |
| "mul_le_one", | |
| "fixingSubmonoid_fixedPoints_gc", | |
| "Equiv.permCongr_apply", | |
| "ENNReal.coe_one", | |
| "CategoryTheory.Subobject.lift_mk", | |
| "Std.RBNode.WF.depth_bound", | |
| "Path.extend_range", | |
| "Computation.terminates_map_iff", | |
| "OrderMonoidWithZeroHom.coe_id", | |
| "Set.inter_vsub_union_subset_union", | |
| "Encodable.encode_prod_val", | |
| "lcm_assoc", | |
| "ConvexCone.comap_comap", | |
| "CategoryTheory.Abelian.image.fac", | |
| "LocalHomeomorph.MDifferentiable.ker_mfderiv_eq_bot", | |
| "ContinuousMap.smul_apply", | |
| "LineDifferentiableAt.lineDifferentiableWithinAt", | |
| "IsSepClosed.splits_domain", | |
| "IntermediateField.adjoin.finiteDimensional", | |
| "NonUnitalSubsemiring.centralizer_univ", | |
| "DifferentiableOn.ccos", | |
| "IsPreconnected.intermediate_value_Ici", | |
| "Interval.coe_inj", | |
| "mem_extremePoints", | |
| "EMetric.diam_ball", | |
| "sInfHom.cancel_right", | |
| "Finset.sdiff_union_self_eq_union", | |
| "IsCompact.nonempty_iInter_of_sequence_nonempty_compact_closed", | |
| "LinearEquiv.mapMatrix_trans", | |
| "Antitone.mul", | |
| "Complex.UnitDisc.abs_ne_one", | |
| "ContMDiffAt.of_le", | |
| "Measurable.mul'", | |
| "sdiff_le'", | |
| "IsAntichain.maximals_lowerClosure", | |
| "HahnSeries.neg_coeff", | |
| "LieHom.map_lie", | |
| "polynomialFunctions.starClosure_topologicalClosure", | |
| "CompactExhaustion.isClosed", | |
| "AlgebraicGeometry.locallyOfFiniteType_respectsIso", | |
| "RingTopology.coinduced_continuous", | |
| "Computable.list_reverse", | |
| "MeasureTheory.Measure.countable_meas_pos_of_disjoint_of_meas_iUnion_ne_top", | |
| "Computation.eq_thinkN'", | |
| "BilinForm.isSymm_zero", | |
| "DFA.eval_singleton", | |
| "AlgebraicGeometry.LocallyRingedSpace.\u0393_obj", | |
| "IsLocalExtr.congr", | |
| "LucasLehmer.mersenne_int_ne_zero", | |
| "CategoryTheory.Limits.wideCoequalizer.\u03c0_desc", | |
| "MulOpposite.op_comp_unop", | |
| "MeasureTheory.JordanDecomposition.real_smul_nonneg", | |
| "Multiset.inf_mono", | |
| "IntermediateField.val_mk", | |
| "Subsemiring.smul_mem_pointwise_smul_iff\u2080", | |
| "AffineSubspace.sSameSide_smul_vsub_vadd_right", | |
| "Matrix.smul_of", | |
| "AffineBasis.card_eq_finrank_add_one", | |
| "NonUnitalStarAlgHom.inr_apply", | |
| "CategoryTheory.Limits.WalkingPair.swap_symm_apply_ff", | |
| "Stream'.WSeq.of_mem_append", | |
| "IsUnit.unit_spec", | |
| "Filter.le_lift", | |
| "ProbabilityTheory.iIndepFun.mul", | |
| "Algebra.TensorProduct.assoc_toLinearEquiv", | |
| "nhds_ofMul", | |
| "Set.Ioi_inter_Iio", | |
| "LinearEquiv.ext", | |
| "IsFreeGroup.lift'_eq_freeGroup_lift", | |
| "PowerSeries.evalNegHom_X", | |
| "Subgroup.one_lt_card_iff_ne_bot", | |
| "Set.image_image2_right_comm", | |
| "Set.Finite.isPwo", | |
| "FreeMonoid.toList_of_mul", | |
| "CategoryTheory.Limits.initialMonoClass_of_disjoint_coproducts", | |
| "Set.Icc_subset_Ici_self", | |
| "ENNReal.toReal_le_of_le_ofReal", | |
| "CategoryTheory.Functor.sum_map_inl", | |
| "Lists'.Subset.trans", | |
| "image_le_of_deriv_right_le_deriv_boundary", | |
| "AlgebraicGeometry.PresheafedSpace.IsOpenImmersion.toSheafedSpace_toPresheafedSpace", | |
| "BilinForm.Nondegenerate.toMatrix'", | |
| "MulHom.id_comp", | |
| "toIcoMod_mem_Ico", | |
| "IsLocallyConstant.eq_const", | |
| "Iff.to_eq", | |
| "IsROrC.ofRealClm_apply", | |
| "NonUnitalAlgebra.adjoin_induction", | |
| "MeasureTheory.integral_Iic_eq_integral_Iio", | |
| "Equiv.Perm.smul_def", | |
| "Set.Nonempty.left", | |
| "Quot.congr_mk", | |
| "LinearMap.toMatrixAlgEquiv'_symm", | |
| "Filter.HasBasis.inf", | |
| "CauSeq.Completion.mk_pow", | |
| "IsIdempotentElem.coe_zero", | |
| "iSup_mono'", | |
| "MeasureTheory.IsStoppingTime.measurableSet_lt_of_countable", | |
| "String.next'_eq", | |
| "antitone_vecCons", | |
| "Finset.inter_val", | |
| "EMetric.cauchySeq_iff_NNReal", | |
| "Complex.mem_reProdIm", | |
| "Submodule.span_eq_of_le", | |
| "GaloisConnection.u_inf", | |
| "NonUnitalSubring.sInf_toSubsemigroup", | |
| "AddMonoidAlgebra.single_mul_apply_of_not_exists_add", | |
| "Vector.toList_injective", | |
| "LinearIsometry.map_neg", | |
| "IsometryEquiv.dist_eq", | |
| "IsLocalization.mk'_eq_iff_eq'", | |
| "AddMonoidAlgebra.supDegree_add_le", | |
| "MeasureTheory.Measure.restrict_restrict", | |
| "SupHom.comp_apply", | |
| "mul_lt_mul_left", | |
| "Mathlib.Tactic.LinearCombination.c_mul_pf", | |
| "Nat.lt_pow_iff_log_lt", | |
| "SetTheory.PGame.sub_congr", | |
| "Basis.coe_algebraMapCoeffs", | |
| "Set.iUnion_mul_right_image", | |
| "CategoryTheory.isoWhiskerRight_inv", | |
| "Cardinal.ord_card_unbounded'", | |
| "Finset.card_powersetCard", | |
| "deriv_ne_zero", | |
| "ContinuousAt.preimage_mem_nhds", | |
| "Equiv.Perm.sumCongr_mul", | |
| "CategoryTheory.GrothendieckTopology.pullback_stable", | |
| "ContinuousLinearMap.continuous", | |
| "WithTop.succ_coe", | |
| "MeasureTheory.SimpleFunc.lintegral_zero", | |
| "CategoryTheory.endofunctorMonoidalCategory_tensorUnit_obj", | |
| "Multiset.zero_bind", | |
| "Set.OrdConnected.preimage_coe_nnreal_real", | |
| "MultilinearMap.uncurrySum_aux_apply", | |
| "TopologicalSpace.Opens.mk_univ", | |
| "sq_pos_of_ne_zero", | |
| "LinearMap.compl\u2081\u2082_apply", | |
| "Int.castRingHom_int", | |
| "or_iff_left", | |
| "Hyperreal.IsSt.le", | |
| "StrictAntiOn.le_iff_le", | |
| "Int.ofNat_add_one_out", | |
| "Polynomial.map_monic_ne_zero", | |
| "Std.RBSet.find?_some_mem", | |
| "MonoidHom.transferSylow_eq_pow", | |
| "Nat.ceil_le", | |
| "Finsupp.toMultiset_toFinsupp", | |
| "Complex.abs_sub_eq", | |
| "LinearMap.toMatrix_apply'", | |
| "Asymptotics.IsBigO.congr_right", | |
| "StrictMonoOn.continuousWithinAt_right_of_surjOn", | |
| "Real.tan_arctan", | |
| "Set.infs_infs_infs_comm", | |
| "not_isCoprime_zero_zero", | |
| "Pell.yn_ge_n", | |
| "Submonoid.LocalizationMap.AwayMap.lift_comp", | |
| "MvPolynomial.esymm_eq_sum_subtype", | |
| "measurable_infNndist", | |
| "Pi.lex_eq_finsupp_lex", | |
| "vsub_right_injective", | |
| "Ultrafilter.mem_coe", | |
| "ClosureOperator.closure_sup_closure_left", | |
| "Fin.cast_castAdd_right", | |
| "SMul.comp.smulCommClass'", | |
| "SimpleGraph.Iso.map_adj_iff", | |
| "MeasureTheory.Measure.absolutelyContinuous_of_eq", | |
| "FreeSemigroup.mul_map_seq", | |
| "Module.End.natCast_apply", | |
| "Filter.map\u2082_mono_right", | |
| "AlgEquiv.mk_coe'", | |
| "LinearEquiv.coe_coe", | |
| "analyticOn_congr'", | |
| "GromovHausdorff.isometry_optimalGHInjr", | |
| "Ideal.IsPrime.mul_le", | |
| "OpenSubgroup.toOpens_inf", | |
| "ContinuousOpenMap.ext", | |
| "MulOpposite.unop_one", | |
| "AlgHom.coe_mk'", | |
| "Int.zero_mul", | |
| "CategoryTheory.Idempotents.DoldKan.equivalence_functor", | |
| "Finset.card_le_card_mul_left", | |
| "CategoryTheory.whiskerLeft_twice", | |
| "Real.smoothTransition.continuousAt", | |
| "FirstOrder.Language.funMap_eq_coe_constants", | |
| "star_mul'", | |
| "Fin.leftInverse_cast", | |
| "MeasureTheory.Measure.QuasiMeasurePreserving.mono_left", | |
| "Ici_mem_nhds", | |
| "Set.SurjOn.cancel_right", | |
| "Subtype.val_prop", | |
| "Function.const_le_one_of_le_one", | |
| "Continuous.cpow", | |
| "Pi.prod_snd_fst", | |
| "ENNReal.coe_ne_zero", | |
| "Multiset.ndinter_subset_left", | |
| "BiheytingHom.toFun_eq_coe_aux", | |
| "LatticeHom.coe_id", | |
| "Filter.tendsto_atTop_of_add_bdd_above_left'", | |
| "closure_eq_cluster_pts", | |
| "NNReal.rpow_sub", | |
| "leftInverse_div_mul_left", | |
| "Function.Antiperiodic.nat_even_mul_periodic", | |
| "AddCommGroup.ModEq.add_zsmul", | |
| "Ideal.is_fg_degreeLE", | |
| "Subsemiring.prod_mem", | |
| "Metric.iUnion_ball_nat", | |
| "LiouvilleWith.add_int", | |
| "Int.fmod_nonneg'", | |
| "LinearMap.toAffineMap_linear", | |
| "LinearMap.ext_on_range", | |
| "HasMFDerivWithinAt.continuousWithinAt", | |
| "MonoidHom.coprod_apply", | |
| "MeasureTheory.Lp.simpleFunc.measurable", | |
| "LinearMap.ker_id", | |
| "Multiset.erase_cons_head", | |
| "CategoryTheory.e_assoc", | |
| "CauSeq.le_total", | |
| "LatticeHom.coe_comp_sup_hom", | |
| "Antitone.tendsto_alternating_series_of_tendsto_zero", | |
| "List.Perm.nodup_iff", | |
| "borel_eq_generateFrom_Ici", | |
| "NonUnitalSubsemiring.map_id", | |
| "Subgroup.relindex_ne_zero_trans", | |
| "false_imp_iff", | |
| "AffineSubspace.not_wSameSide_bot", | |
| "MonoidWithZeroHom.coe_inj", | |
| "SimpleGraph.Path.isTrail", | |
| "Part.one_mem_one", | |
| "strictMonoOn_toDual_comp_iff", | |
| "Prime.associated_of_dvd", | |
| "fderiv.comp", | |
| "InfHom.copy_eq", | |
| "Primrec.comp\u2082", | |
| "IndexedPartition.proj_out", | |
| "LinearPMap.isClosable_iff_exists_closed_extension", | |
| "TopCat.Sheaf.objSupIsoProdEqLocus_hom_snd", | |
| "continuousWithinAt_Iio_iff_Iic", | |
| "NNReal.summable_Lp_add", | |
| "ContinuousAlternatingMap.ofSubsingleton_toAlternatingMap", | |
| "List.join_splitWrtComposition", | |
| "Algebra.adjoin_eq_of_le", | |
| "IsMaxOn.on_preimage", | |
| "Nat.dvd_ord_proj_of_dvd", | |
| "AlgEquiv.toLieEquiv_symm_apply", | |
| "multiplicity.eq_of_associated_left", | |
| "bihimp_def", | |
| "Submonoid.toAddSubmonoid_closure", | |
| "MeasureTheory.AEStronglyMeasurable.iUnion", | |
| "MvPolynomial.map_rightInverse", | |
| "OrderHom.isFixedPt_gfp", | |
| "nndist_midpoint_midpoint_le'", | |
| "Hyperreal.infiniteNeg_add_infiniteNeg", | |
| "Finset.sups_infs_subset_left", | |
| "mem_maximals_setOf_iff", | |
| "Int.self_sub_fract", | |
| "monotone_Iic", | |
| "FirstOrder.Language.toFun_embedding_empty", | |
| "Set.union_subset_iff", | |
| "MeasureTheory.snorm_indicator_const", | |
| "Finset.Nonempty.image\u2082", | |
| "Ultrafilter.inf_neBot_iff", | |
| "nhds_mono", | |
| "MeasureTheory.StronglyMeasurable.const_smul'", | |
| "ContinuousMap.HomotopyWith.ext", | |
| "MonotoneOn.max", | |
| "differentiable_star_iff", | |
| "Set.SurjOn.mapsTo_compl", | |
| "Filter.Tendsto.pow", | |
| "IsEquivalent.summable_iff", | |
| "List.choose_mem", | |
| "IsCoprime.pow", | |
| "IntermediateField.range_val", | |
| "NormedSpace.toLocallyConvexSpace'", | |
| "List.getLast?_singleton", | |
| "ContinuousLinearMap.mkOfIsCompactOperator_mem_compactOperator", | |
| "MultilinearMap.add_apply", | |
| "OrderMonoidWithZeroHom.comp_assoc", | |
| "CategoryTheory.Functor.eq_of_iso", | |
| "HahnSeries.C_eq_algebraMap", | |
| "CircleDeg1Lift.iterate_mono", | |
| "Filter.Germ.abs_def", | |
| "CategoryTheory.Presieve.IsSheafFor.isSeparatedFor", | |
| "MonoidHom.coe_mker", | |
| "LinearEquiv.coe_ofInvolutive", | |
| "Primrec.nat_casesOn", | |
| "FirstOrder.Language.Substructure.mem_closure", | |
| "MeasureTheory.tsum_meas_le_meas_iUnion_of_disjoint", | |
| "mem_nhdsSet_interior", | |
| "Set.image_preimage", | |
| "IsLowerSet.top_mem", | |
| "Cycle.Chain.eq_nil_of_well_founded", | |
| "List.Perm.eqv", | |
| "WithLp.equiv_pi_apply", | |
| "Ordinal.type_lift_preimage_aux", | |
| "Part.left_dom_of_div_dom", | |
| "HasDerivAt.hasDerivWithinAt", | |
| "two_mul_le_add_sq", | |
| "KaehlerDifferential.map_D", | |
| "List.SublistForall\u2082.prod_le_prod'", | |
| "Disjoint.inf_right'", | |
| "Multiset.erase_zero", | |
| "Polynomial.natDegree_cubic", | |
| "subset_lowerBounds_upperBounds", | |
| "Finset.isG\u03b4_compl", | |
| "Field.closure_mono", | |
| "LinearMap.coprod_zero_left", | |
| "List.Pairwise.chain'", | |
| "isTorsion_of_finite", | |
| "algebraMap_exp_comm_of_mem_ball", | |
| "MeasureTheory.Measure.top_add", | |
| "Set.mulIndicator_one'", | |
| "Set.pairwiseDisjoint_union", | |
| "BoxIntegral.Box.le_iff_bounds", | |
| "ofBoolAlg_sup", | |
| "MeasureTheory.snormEssSup_le_of_ae_nnnorm_bound", | |
| "Fintype.card_set", | |
| "Ioo_mem_nhdsWithin_Ioi'", | |
| "Real.add_neg_lt_sSup", | |
| "Set.mk_mem_sigma", | |
| "IsExtrFilter.comp_mono", | |
| "Cardinal.isRegular_cof", | |
| "RingHom.sclosure_preimage_le", | |
| "Submodule.map_pow", | |
| "Set.iUnion_congr_Prop", | |
| "RelEmbedding.coe_trans", | |
| "MeasureTheory.Lp.coeFn_inf", | |
| "Part.get_eq_of_mem", | |
| "FreeGroup.lift.of_eq", | |
| "RingHom.mk_coe", | |
| "BotHom.bot_apply", | |
| "Matrix.UnitaryGroup.inv_apply", | |
| "NonUnitalSubsemiring.toSubsemigroup_strictMono", | |
| "Pi.monoidHom_injective", | |
| "ContinuousLinearMap.coe_sub'", | |
| "Mathlib.Meta.NormNum.jacobiSymNat.qr\u2083_mod", | |
| "Filter.tendsto_neg_const_mul_pow_atTop", | |
| "List.formPerm_cons_cons", | |
| "Convex.lineMap_mem", | |
| "CategoryTheory.IsIso.comp_inv_eq", | |
| "hasDerivWithinAt_inter'", | |
| "Equiv.comp_bijective", | |
| "Set.ite_mono", | |
| "Units.eq_inv_of_mul_eq_one_right", | |
| "BumpCovering.sum_toPartitionOfUnity_eq", | |
| "DoubleCentralizer.sub_fst", | |
| "exists_succ_iterate_or", | |
| "AddSubmonoid.toNatSubmodule_symm", | |
| "OrderEmbedding.coe_ofMapLEIff", | |
| "MonoidHom.map_zpow'", | |
| "List.not_lt_of_mem_argmax", | |
| "Dilation.coe_mul", | |
| "PiTensorProduct.add_tprodCoeff'", | |
| "Filter.tendsto_pure_left", | |
| "IsLocalization.mk'_eq_iff_eq_mul", | |
| "tsub_add_eq_add_tsub", | |
| "IsROrC.hasSum_conj", | |
| "Additive.isAddMonoidHom", | |
| "TopCat.presheafToTypes_map", | |
| "Con.conGen_mono", | |
| "ContinuousLinearMap.hasBasis_nhds_zero", | |
| "Set.infs_eq_empty", | |
| "RingEquiv.mapMatrix_refl", | |
| "Fintype.card_eq_zero", | |
| "TopologicalSpace.Closeds.coe_sInf", | |
| "CategoryTheory.InjectiveResolution.complex_d_comp", | |
| "forall_const", | |
| "CategoryTheory.Pi.isoApp_trans", | |
| "imp_congr_ctx", | |
| "TopCat.Presheaf.germ_res", | |
| "ConvexOn.add_const", | |
| "Subsemigroup.closure_iUnion", | |
| "Ideal.mul_mem_mul", | |
| "ContMDiff.clm_apply", | |
| "Flow.map_add", | |
| "ofLex_inj", | |
| "LinearIsometryEquiv.comp_hasFDerivAt_iff'", | |
| "Monoid.CoprodI.Word.smul_def", | |
| "Set.prod_subset_preimage_snd", | |
| "List.mem_of_mem_take", | |
| "LocallyBoundedMap.comp_assoc", | |
| "ContDiffAt.inv", | |
| "List.nil_infix", | |
| "ONote.NFBelow_zero", | |
| "MeasureTheory.SimpleFunc.const_mul_eq_map", | |
| "Set.preimage_subset_image_of_inverse", | |
| "UpperSet.coe_top", | |
| "Nat.nth_le_nth_of_lt_card", | |
| "CategoryTheory.Limits.Types.limitEquivSections_symm_apply", | |
| "EventuallyLE.countable_iInter", | |
| "ofDual_max", | |
| "IsMinOn.iInf_eq", | |
| "Filter.NeBot.not_disjoint", | |
| "CategoryTheory.leOfHom_homOfLE", | |
| "ENNReal.max_zero_left", | |
| "ExteriorAlgebra.toTrivSqZeroExt_\u03b9", | |
| "Continuous.pow", | |
| "Zspan.fract_mem_fundamentalDomain", | |
| "MeasureTheory.Integrable.prod_right_ae", | |
| "Substring.ValidFor.startPos", | |
| "LinearMap.IsSymm.ortho_comm", | |
| "Action.functorCategoryMonoidalEquivalence.inverse_map", | |
| "Algebra.isAlgebraic_of_larger_base_of_injective", | |
| "PartENat.get_eq_iff_eq_some", | |
| "LinearEquiv.piCongrRight_trans", | |
| "Interval.coe_injective", | |
| "LieModuleHom.neg_apply", | |
| "hasContinuousInv\u2080_of_hasSmoothInv\u2080", | |
| "Tropical.untrop_inj_iff", | |
| "Dvd.dvd.zero_modEq_nat", | |
| "Computation.get_eq_of_promises", | |
| "Subalgebra.coe_pointwise_smul", | |
| "Function.surjective_pi_map", | |
| "List.chain'_iff_pairwise", | |
| "comap_coe_Ioo_nhdsWithin_Ioi", | |
| "sInf_sUnion", | |
| "Matrix.det_pow", | |
| "isUpperSet_Ioi", | |
| "btw_rfl_left", | |
| "Function.LeftInverse.leftInvOn", | |
| "CategoryTheory.Iso.refl_symm", | |
| "iteratedFDerivWithin_inter", | |
| "CategoryTheory.Limits.IsZero.hasZeroObject", | |
| "Ideal.le_comap_mul", | |
| "Int.natAbs_eq", | |
| "Filter.frequently_map", | |
| "Multiset.Pi.cons_ne", | |
| "CategoryTheory.RanIsSheafOfCoverLifting.gluedLimitCone_\u03c0_app", | |
| "NonUnitalSubring.toNonUnitalSubsemiring_mono", | |
| "OrderMonoidWithZeroHom.mk_coe", | |
| "upperBounds_Iic", | |
| "Polynomial.fderiv_aeval", | |
| "mul_le_of_le_of_le_one", | |
| "Subgroup.Normal.eq_bot_or_eq_top", | |
| "Polynomial.splits_iff_exists_multiset", | |
| "CategoryTheory.Equivalence.Equivalence_mk'_unit", | |
| "Ordnode.Valid.right", | |
| "cast_proof_irrel", | |
| "Quaternion.exp_coe", | |
| "PosMulMono.toPosMulReflectLT" | |
| ] | |
| } |