|
{ |
|
"total_valid_proofs": 2000, |
|
"total_no_tactics": 1015, |
|
"deliminter": "**", |
|
"no_tactics": [ |
|
"LaurentPolynomial.isUnit_T", |
|
"PartENat.toWithTop_some", |
|
"Finset.coe_smul", |
|
"GenLoop.continuous_fromLoop", |
|
"Int.neg_eq_neg", |
|
"Polynomial.degree_sum_fin_lt", |
|
"SimpleGraph.Walk.edges_bypass_subset", |
|
"PrimeSpectrum.closedEmbedding_comap_of_surjective", |
|
"Filter.tendsto_fst", |
|
"IsMaxOn.norm_add_self", |
|
"Rat.cast_sub", |
|
"Set.finite_le_nat", |
|
"Finset.eq_univ_of_forall", |
|
"RingEquiv.trans_apply", |
|
"CategoryTheory.ConcreteCategory.surjective_of_epi_of_preservesPushout", |
|
"AlgEquiv.ext_iff", |
|
"RingCon.coe_nsmul", |
|
"MvPolynomial.coeToMvPowerSeries.ringHom_apply", |
|
"FreimanHom.comp_id", |
|
"ContinuousAt.vsub", |
|
"Multiset.ndinsert_zero", |
|
"Rat.mkRat_num_den", |
|
"MeasureTheory.AEStronglyMeasurable.restrict", |
|
"LinearMap.SeparatingLeft.toMatrix\u2082", |
|
"Cardinal.pow_cast_right", |
|
"t1Space_iff_continuous_cofinite_of", |
|
"Antitone.pairwise_disjoint_on_Ioc_pred", |
|
"continuous_quotient_mk'", |
|
"Finset.smul_finset_union", |
|
"Subsingleton.antitone'", |
|
"LocalHomeomorph.symm_image_target_inter_eq", |
|
"DoubleCentralizer.toProdMulOpposite_injective", |
|
"Submodule.mk_quotientEquivOfIsCompl_apply", |
|
"Filter.prod_mono_left", |
|
"Seminorm.ext", |
|
"List.isPrefixOf_cons\u2082", |
|
"Cardinal.toNat_eq_iff", |
|
"Polynomial.continuousWithinAt_aeval", |
|
"Directed.mono", |
|
"NonUnitalSubsemiring.mk'_toAddSubmonoid", |
|
"Filter.inf_principal_neBot_iff", |
|
"Filter.eventually_of_mem", |
|
"Relation.TransGen.head", |
|
"MvPolynomial.eval\u2082_zero_apply", |
|
"LowerSet.coe_div", |
|
"Finset.mem_uIcc_of_le", |
|
"ofAdd_smul", |
|
"IsMonoidHom.id", |
|
"deriv_sqrt", |
|
"IsROrC.conj_bit0", |
|
"Order.pred_succ_of_not_isMax", |
|
"TwoPointing.sum_fst", |
|
"SmoothBumpFunction.hasCompactSupport", |
|
"UpperHalfPlane.im_ne_zero", |
|
"Filter.eventuallyEq_bind", |
|
"Mathlib.Meta.Positivity.pow_zero_pos", |
|
"CategoryTheory.Subgroupoid.isThin_iff", |
|
"CategoryTheory.ActionCategory.\u03c0_map", |
|
"coe_basisOfLinearIndependentOfCardEqFinrank", |
|
"fderivWithin_pi", |
|
"HasDerivWithinAt.const_sub", |
|
"WithBot.toDual_lt_iff", |
|
"le_iSup'", |
|
"LocalHomeomorph.secondCountableTopology_source", |
|
"IsLowerSet.le_card_inter_finset", |
|
"supIrred_ofDual", |
|
"ContinuousMultilinearMap.nnnorm_ofSubsingleton", |
|
"Hyperreal.coe_ne_zero", |
|
"SetTheory.PGame.zero_lt_one", |
|
"IsCompact.isLUB_sSup", |
|
"IsBoundedBilinearMap.differentiableOn", |
|
"tendsto_atTop_of_eventually_const", |
|
"Basis.algebraMap_injective", |
|
"ContinuousAt.exp", |
|
"StarSubalgebra.map_mono", |
|
"tsum_sigma'", |
|
"norm_le_norm_add_const_of_dist_le'", |
|
"Equiv.sumArrowEquivProdArrow_apply_fst", |
|
"Set.iUnion_vsub_left_image", |
|
"CategoryTheory.Subobject.underlyingIso_hom_comp_eq_mk", |
|
"Real.volume_pi_Ioo", |
|
"BoundedLatticeHom.coe_id", |
|
"OrderIso.map_csInf", |
|
"SetSemiring.add_def", |
|
"Metric.isOpen_thickening", |
|
"IsClosed.compl_mem_nhds", |
|
"isOpen_Ioo", |
|
"HasFDerivAt.csin", |
|
"ContinuousMap.gen_inter", |
|
"NonUnitalSubring.mem_carrier", |
|
"CircleDeg1Lift.coe_mul", |
|
"WellFoundedLT.fix_eq", |
|
"IsCyclotomicExtension.finiteDimensional", |
|
"Multiset.count_zero", |
|
"Polynomial.eval\u2082_finset_prod", |
|
"lt_or_lt_iff_ne", |
|
"Equiv.coe_vaddConst_symm", |
|
"AEMeasurable.const_inf", |
|
"Ordinal.nfp_eq_self", |
|
"Nat.Odd.of_mul_right", |
|
"Set.mapsTo_iInter_iInter", |
|
"Urysohns.CU.left_U_subset_right_C", |
|
"FirstOrder.Language.BoundedFormula.IsAtomic.relabel", |
|
"abelianizationCongr_of", |
|
"MonoidHom.ker_restrict", |
|
"MeasureTheory.measure_toMeasurable_union", |
|
"ContinuousWithinAt.mem_closure", |
|
"IsLocalMaxOn.sup", |
|
"Rep.MonoidalCategory.braiding_inv_apply", |
|
"MultilinearMap.map_update_zero", |
|
"commutatorElement_self", |
|
"LinearMap.fst_surjective", |
|
"LinearMap.IsRefl.flip_isRefl_iff", |
|
"Equiv.Perm.VectorsProdEqOne.zero_eq", |
|
"IsCompact.isGreatest_sSup", |
|
"Set.image_add_const_Icc", |
|
"Colex.eq_iff", |
|
"Ordinal.typein_enum", |
|
"QuadraticForm.complex_equivalent", |
|
"affineSpan_le", |
|
"MeasureTheory.integral_iUnion_ae", |
|
"ContinuousWithinAt.comp'", |
|
"RePred.of_eq", |
|
"Bool.decide_false_iff", |
|
"Metric.self_subset_cthickening", |
|
"MvPolynomial.aeval_def", |
|
"lt_of_eq_of_lt", |
|
"WithBot.add_coe_eq_bot_iff", |
|
"Set.iUnion_or", |
|
"Covby.image", |
|
"Subalgebra.restrictScalars_toSubmodule", |
|
"Asymptotics.isBigO_pure", |
|
"reflexive_oneOneReducible", |
|
"nhds_right'_le_nhds_ne", |
|
"Algebra.trace_apply", |
|
"Btw.btw.antisymm", |
|
"CategoryTheory.mop_comp", |
|
"iInf_congr_Prop", |
|
"Monotone.strictMono_of_injective", |
|
"Convex.image_deriv", |
|
"PrimeSpectrum.vanishingIdeal_union", |
|
"Lists'.mem_of_subset", |
|
"Finite.card_pos", |
|
"IsROrC.re_add_im", |
|
"Set.eq_or_ssubset_of_subset", |
|
"AffineIsometryEquiv.coe_mul", |
|
"Part.get_mem", |
|
"TensorProduct.AlgebraTensorModule.tensorTensorTensorComm_tmul", |
|
"Real.Angle.continuous_sin", |
|
"Int.card_Icc", |
|
"IsLocalization.lift_id", |
|
"FractionalIdeal.div_zero", |
|
"summable_sum", |
|
"FormalMultilinearSeries.norm_mul_pow_le_of_lt_radius", |
|
"Num.succ_to_nat", |
|
"UpperSet.coe_subset_coe", |
|
"Complementeds.coe_bot", |
|
"AEMeasurable.div_const", |
|
"FirstOrder.Language.Equiv.coe_toEmbedding", |
|
"Matrix.isUnit_of_left_inverse", |
|
"selfZpow_of_nonneg", |
|
"AList.keys_erase", |
|
"CategoryTheory.Functor.const.unop_functor_op_obj_map", |
|
"UniformFun.hasBasis_nhds", |
|
"ContinuousMap.HomotopyEquiv.continuous", |
|
"ONote.opow_def", |
|
"AlgEquiv.coe_algHom", |
|
"SimpleGraph.singleton_disjoint_neighborFinset", |
|
"edist_ofMul", |
|
"Std.RBNode.insert_toList_zoom_nil", |
|
"Mathlib.Tactic.ComputeDegree.natDegree_C_le", |
|
"mulIndicator_eventuallyLE_mulIndicator", |
|
"lt_inv_of_neg", |
|
"PerfectClosure.induction_on", |
|
"ComplexShape.down_mk", |
|
"inv_add_inv", |
|
"InfHom.ext", |
|
"OrderEmbedding.isCoatom_of_map_top_of_image", |
|
"Std.RBNode.cmpEq.RootOrdered_congr", |
|
"nndist_midpoint_midpoint_le", |
|
"EuclideanGeometry.oangle_eq_zero_iff_oangle_rev_eq_zero", |
|
"Ordinal.mod_mod", |
|
"Matrix.submatrix_mul_equiv", |
|
"LinearMap.map_neg", |
|
"Std.RBNode.Path.Ordered.insert", |
|
"Finset.Subset.trans", |
|
"Finset.pi_const_singleton", |
|
"IsGalois.integral", |
|
"MeasureTheory.Lp.stronglyMeasurable", |
|
"NonUnitalStarSubalgebra.toNonUnitalSubalgebra_inj", |
|
"RelEmbedding.codRestrict_apply", |
|
"FiniteDimensional.nontrivial_of_finrank_pos", |
|
"ContDiff.rpow_const_of_ne", |
|
"transGen_of_succ_of_ne", |
|
"Set.preimage_singleton_eq_empty", |
|
"lcm_dvd_lcm_mul_left", |
|
"Bornology.IsBounded.smul\u2080", |
|
"selfAdjoint.val_pow", |
|
"NatOrdinal.toOrdinal_symm_eq", |
|
"Isometry.uniformContinuous", |
|
"ContinuousLinearEquiv.continuousWithinAt", |
|
"continuousAt_id", |
|
"Disjoint.exists_mem_filter_basis", |
|
"Nat.ArithmeticFunction.vonMangoldt_eq_zero_iff", |
|
"List.IsPrefix.trans", |
|
"coe_inv_unitSphere", |
|
"Metric.preimage_mul_left_closedBall", |
|
"Subalgebra.center_toSubsemiring", |
|
"Algebra.surjective_algebraMap_iff", |
|
"closure_diff_intrinsicFrontier", |
|
"CliffordAlgebra.reverse_mem_evenOdd_iff", |
|
"Submodule.orthogonal_gc", |
|
"List.destutter_pair", |
|
"Int.ofNat_mul_negSucc", |
|
"codisjoint_map_orderIso_iff", |
|
"Set.preimage_pi", |
|
"Ordinal.toNatOrdinal_zero", |
|
"AlternatingMap.map_eq_zero_of_eq", |
|
"MeasureTheory.integrableOn_condexpL2_of_measure_ne_top", |
|
"mul_lt_mul\u2080", |
|
"Filter.BoundedAtFilter.smul", |
|
"Subsemiring.le_pointwise_smul_iff\u2080", |
|
"Submodule.restrictScalars_top", |
|
"Set.eq_empty_of_isEmpty", |
|
"CategoryTheory.Sieve.pullback_pushforward_le", |
|
"Path.coe_mk", |
|
"Matrix.trace_fin_two", |
|
"mul_one_eq_id", |
|
"Iic_mem_nhds", |
|
"Filter.eventually_ne_atBot", |
|
"intermediate_value_Ioc", |
|
"ContinuousOrderHom.id_comp", |
|
"MeasureTheory.Measure.IsComplete.out", |
|
"LocalHomeomorph.preimage_interior", |
|
"ModelWithCorners.coe_extChartAt_transDiffeomorph", |
|
"LipschitzWith.mul_end", |
|
"Ordnode.Valid'.node", |
|
"HasStrictFDerivAt.cos", |
|
"ProbabilityTheory.kernel.prodMkLeft_apply'", |
|
"Filter.isAtom_pure", |
|
"nhds_bind_nhdsWithin", |
|
"EuclideanGeometry.cospherical_empty", |
|
"Real.contDiffAt_rpow_const_of_ne", |
|
"Polynomial.rootMultiplicity_zero", |
|
"Set.vsub_subset_vsub_left", |
|
"IsBoundedBilinearMap.map_sub_left", |
|
"Set.iUnion_ge_eq_iUnion_nat_add", |
|
"Con.toSetoid_inj", |
|
"AlgHom.toLieHom_comp", |
|
"IsLocalizedModule.fromLocalizedModule'_mk", |
|
"OptionT.goto_mkLabel", |
|
"Complementeds.mk_top", |
|
"MeasureTheory.SimpleFunc.inf_apply", |
|
"Sylow.coe_comapOfKerIsPGroup", |
|
"Smooth.snd", |
|
"CategoryTheory.Functor.essImage.ofNatIso", |
|
"Continuous.nndist", |
|
"dense_univ", |
|
"CategoryTheory.Abelian.comp_epiDesc", |
|
"NonUnitalSubsemiring.gc_map_comap", |
|
"CategoryTheory.Limits.Multiequalizer.condition", |
|
"OrderIso.image_symm_image", |
|
"List.Sublist.length_le", |
|
"ContinuousConstSMul.secondCountableTopology", |
|
"Finset.inr_mem_disjSum", |
|
"UniformSpace.Completion.uniformEmbedding_coe", |
|
"Matrix.kroneckerMap_reindex_right", |
|
"Iff.not_left", |
|
"MvPolynomial.monomial_sum_one", |
|
"Absorbs.add", |
|
"measurable_smul_const", |
|
"MeasureTheory.mem_lpMeas_indicatorConstLp", |
|
"Filter.NeBot.zero_div_nonneg", |
|
"mem_integralClosure_iff_mem_FG", |
|
"CategoryTheory.NatTrans.naturality_app", |
|
"ContinuousLinearEquiv.mdifferentiableOn", |
|
"nndist_triangle", |
|
"VectorPrebundle.smoothCoordChange_apply", |
|
"Filter.comap_cofinite_le", |
|
"Metric.closedBall_subset_closedBall'", |
|
"AddValuation.ext_iff", |
|
"UniformEmbedding.comp", |
|
"LinearMap.map_smul\u2082", |
|
"Symmetric.swap_eq", |
|
"IsMetricSeparated.union_right", |
|
"FirstOrder.Language.Substructure.le_comap_of_map_le", |
|
"Nat.mul_lt_mul'", |
|
"AddMonoidHom.extension_coe", |
|
"IsROrC.algebraMap_eq_ofReal", |
|
"List.foldr_nil", |
|
"SymAlg.mul_def", |
|
"inf_right_comm", |
|
"inv_ball", |
|
"Antitone.le_leftLim", |
|
"Prod.fst_comp_toSigma", |
|
"Ordinal.enumOrd_def_nonempty", |
|
"IsMin.Iio_eq", |
|
"IsLocalMinOn.min", |
|
"DifferentiableOn.analyticOn", |
|
"TopCat.Presheaf.isSheaf_iff_isSheafEqualizerProducts", |
|
"Option.to_list_none", |
|
"GeneralizedContinuedFraction.convergent_eq_conts_a_div_conts_b", |
|
"NNReal.summable_mk", |
|
"SemidirectProduct.inv_right", |
|
"Finset.compl_eq_univ_iff", |
|
"Matrix.blockDiagonal_apply_ne", |
|
"Basis.card_le_card_of_submodule", |
|
"Set.mem_sigma_iff", |
|
"Vector.mapAccumr_cons", |
|
"Order.Cofinal.le_above", |
|
"Subsemigroup.map_strictMono_of_injective", |
|
"csSup_Iic", |
|
"Monoid.coe_one", |
|
"ZMod.injective_valMinAbs", |
|
"intervalIntegral.integral_nonneg_of_ae", |
|
"measurable_mem", |
|
"Submodule.toAddSubmonoid_toNatSubmodule", |
|
"dNext_comp_left", |
|
"Cardinal.lift_mk_shrink", |
|
"IsIntegral.sum", |
|
"CategoryTheory.Presheaf.isSheaf_of_isTerminal", |
|
"NonemptyInterval.ext_iff", |
|
"ProjectiveSpectrum.mem_coe_basicOpen", |
|
"ModuleCat.piIsoPi_inv_kernel_\u03b9", |
|
"Function.Injective.hasLeftInverse", |
|
"Subsemigroup.mem_closure", |
|
"WithBot.Icc_bot_coe", |
|
"Std.RBNode.Path.Balanced.insert", |
|
"CategoryTheory.Preadditive.hasCoequalizers_of_hasCokernels", |
|
"Filter.Tendsto.mono_right", |
|
"Filter.Tendsto.nndist", |
|
"ContinuousMap.congr_fun", |
|
"isCompactOperator_iff_isCompact_closure_image_closedBall", |
|
"Relation.TransGen.head'", |
|
"CategoryTheory.Limits.coequalizer.condition", |
|
"Set.Ioc_subset_Ioo_union_Icc", |
|
"Subgroup.mem_closure", |
|
"isOpen_extChartAt_source", |
|
"AddMonoidAlgebra.le_infDegree_add", |
|
"DFinsupp.sumAddHom_zero", |
|
"Filter.tendsto_add_atTop_nat", |
|
"PicardLindelof.FunSpace.uniformInducing_toContinuousMap", |
|
"MulAction.orbit_smul_subset", |
|
"max_mul_mul_le_max_mul_max'", |
|
"Submodule.span_insert_eq_span", |
|
"SimpleGraph.mem_cliqueFinset_iff", |
|
"HasDerivAt.arsinh", |
|
"Matrix.UnitaryGroup.toLin'_one", |
|
"Codisjoint.himp_le_of_right_le", |
|
"bit0_eq_zero", |
|
"Fin.pos", |
|
"Std.RBNode.insert_toList_zoom_node", |
|
"IntermediateField.mem_mk", |
|
"MeasureTheory.measurableEmbedding_of_fderivWithin", |
|
"InitialSeg.trans_apply", |
|
"List.rel_sections", |
|
"Submodule.mul_comm", |
|
"AlternatingMap.curryLeft_smul", |
|
"bddAbove_smul_iff_of_pos", |
|
"OrderDual.Preorder.dual_dual", |
|
"Int.not_irrational", |
|
"left_mem_affineSpan_pair", |
|
"AddSubgroup.mem_smul_pointwise_iff_exists", |
|
"CategoryTheory.Idempotents.app_p_comm", |
|
"SetLike.exists", |
|
"Fintype.exists_le_card_fiber_of_mul_le_card", |
|
"Filter.blimsup_eq", |
|
"Continuous.inv\u2080", |
|
"Continuous.exp", |
|
"MeasureTheory.quasiMeasurePreserving_div", |
|
"isConnected_Ico", |
|
"Subtype.coe_sup", |
|
"SimpleGraph.swap_mem_interedges_iff", |
|
"IsROrC.I_mul_I", |
|
"MeasureTheory.SimpleFunc.mem\u2112p_iff", |
|
"ENNReal.inv_limsup", |
|
"Algebra.TensorProduct.map_comp", |
|
"div_mem_comm_iff", |
|
"Set.exists_image_iff", |
|
"Nat.digits_zero_zero", |
|
"NonUnitalAlgebra.inf_toNonUnitalSubsemiring", |
|
"iInf_ne_top_subtype", |
|
"Complex.zero_lt_real", |
|
"AddSubgroup.pointwise_smul_le_pointwise_smul_iff", |
|
"RingHom.ker_ne_top", |
|
"MulAction.Supports.mono", |
|
"Nat.Prime.ne_one", |
|
"QuotientGroup.homQuotientZPowOfHom_id", |
|
"continuousWithinAt_const", |
|
"derivWithin_pow'", |
|
"Set.Nonempty.inv", |
|
"Finset.singleton_one", |
|
"Equiv.Perm.ofSubtype_apply_coe", |
|
"LieEquiv.refl_symm", |
|
"Function.one_lt_const", |
|
"measure_Ico_lt_top", |
|
"CategoryTheory.Functor.initial_natIso_iff", |
|
"ENNReal.top_ne_zero", |
|
"frontier_Iic_subset", |
|
"OrderIso.ext", |
|
"Filter.comap_embedding_atBot", |
|
"AlgEquiv.restrictScalars_apply", |
|
"IsUnit.mul_left_eq_zero", |
|
"smul_vsub_rev_vadd_mem_affineSpan_pair", |
|
"Filter.EventuallyEq.differentiableAt_iff", |
|
"nonempty_measurable_superset", |
|
"Set.iInter_plift_down", |
|
"SimpleGraph.edgeDensity_le_one", |
|
"Finsupp.not_mem_graph_snd_zero", |
|
"normUnit_eq_one", |
|
"not_imp_eq_of_eq_false_right", |
|
"AlgHom.one_apply", |
|
"iInf_iInf_eq_right", |
|
"Finset.Nonempty.sym", |
|
"AddCommGroupCat.asHom_apply", |
|
"PSet.Equiv.symm", |
|
"SeparatedNhds.preimage", |
|
"CliffordAlgebraQuaternion.toQuaternion_ofQuaternion", |
|
"Finsupp.prod_antidiagonal_swap", |
|
"LocalHomeomorph.image_source_eq_target", |
|
"Std.BinomialHeap.Imp.Heap.WF.merge", |
|
"lowerClosure_eq_bot_iff", |
|
"compl_sup_compl_le", |
|
"Stream'.Seq.mem_cons_of_mem", |
|
"measurableEmbedding_const_smul\u2080", |
|
"iff_true_iff", |
|
"AlgebraicGeometry.quasiCompact_stableUnderBaseChange", |
|
"EsakiaHom.ext", |
|
"NonUnitalSubalgebra.coe_map", |
|
"CategoryTheory.finitaryExtensive_of_preserves_and_reflects", |
|
"Finset.min_insert", |
|
"Set.ordConnected_uIoc", |
|
"Asymptotics.IsBigO.pow", |
|
"Monotone.map_csInf", |
|
"GenLoop.continuous_toLoop", |
|
"Quotient.exact'", |
|
"eq_of_abs_sub_nonpos", |
|
"FormalMultilinearSeries.apply_order_ne_zero'", |
|
"IsHausdorff.haus", |
|
"ProbabilityTheory.IndepSets.union_iff", |
|
"FirstOrder.Language.Substructure.map_inf_comap_of_surjective", |
|
"FractionalIdeal.one_mem_one", |
|
"isCompl_toDual_iff", |
|
"smul_inv''", |
|
"Cardinal.toNat_apply_of_lt_aleph0", |
|
"Metric.equicontinuous_of_continuity_modulus", |
|
"StarSubalgebra.centralizer_le", |
|
"List.Sorted.get_strictMono", |
|
"ContractingWith.efixedPoint_mem'", |
|
"MeasureTheory.Integrable.norm", |
|
"Sum.Lex.inl_lt_inl_iff", |
|
"MeasureTheory.ProbabilityMeasure.tendsto_nhds_iff_toFiniteMeasure_tendsto_nhds", |
|
"List.Sublist.count_le", |
|
"min_one", |
|
"Finset.eq_of_mem_slice", |
|
"MvPolynomial.IsWeightedHomogeneous.add", |
|
"Int.ofNat_eq_zero", |
|
"contMDiffAt_const", |
|
"Subring.prod_mono", |
|
"Set.diff_diff_cancel_left", |
|
"Set.mapsTo_prod_map_diagonal", |
|
"VectorAllP.imp", |
|
"Equiv.Perm.support_refl", |
|
"IsLocallyConstant.iff_isOpen_fiber", |
|
"Polynomial.fderivWithin_aeval", |
|
"CategoryTheory.IsFilteredOrEmpty.of_isRightAdjoint", |
|
"MonotoneOn.Ico", |
|
"QuadraticForm.linMulLin_comp", |
|
"LocallyConstant.coe_desc", |
|
"IsLprojection.le_def", |
|
"CategoryTheory.Faithful.div_faithful", |
|
"HNNExtension.NormalWord.consRecOn_ofGroup", |
|
"isG\u03b4_empty", |
|
"ack_le_iff_right", |
|
"Tuple.antitone_pair_of_not_sorted", |
|
"Matrix.isDiag_iff_diagonal_diag", |
|
"AddValuation.map_add", |
|
"CoheytingHom.coe_id", |
|
"CategoryTheory.Limits.image.isoStrongEpiMono_inv_comp_mono", |
|
"Prod.uIcc_eq", |
|
"Finsupp.mapRange.linearEquiv_apply", |
|
"DifferentiableOn.hasFDerivAt", |
|
"decidableEq_inr_neg", |
|
"DifferentiableWithinAt.sub_const", |
|
"AEMeasurable.indicator", |
|
"MeasureTheory.AEStronglyMeasurable.indicator", |
|
"span_gramSchmidt_Iio", |
|
"Set.bounded_gt_Ioo", |
|
"Finset.ssubset_of_ssubset_of_subset", |
|
"Set.Infinite.of_smul_set", |
|
"DifferentiableAt.sinh", |
|
"Set.Subsingleton.coe_sort", |
|
"ContMDiffAt.smul", |
|
"MulAction.fixed_eq_iInter_fixedBy", |
|
"upperSemicontinuousOn_const", |
|
"Finset.singleton_ne_empty", |
|
"List.some_nthLe_eq", |
|
"UpperHalfPlane.continuous_re", |
|
"Subalgebra.coe_sub", |
|
"Embedding.isSeparable_preimage", |
|
"Complex.continuousOn_tan", |
|
"Sum.Lex.inl_le_inr", |
|
"WithTop.forall", |
|
"Set.Finite.einfsep_pos", |
|
"Ideal.mem_span_singleton'", |
|
"MeasureTheory.Ioo_ae_eq_Ioc'", |
|
"CategoryTheory.Equivalence.functor_map_inj_iff", |
|
"HasFPowerSeriesOnBall.add", |
|
"CategoryTheory.IsDetector.isSeparator", |
|
"Set.mem_sep_iff", |
|
"List.mem_keys_of_mem_keys_kerase", |
|
"IsCompactOperator.clm_comp", |
|
"EuclideanHalfSpace.ext", |
|
"NonUnitalStarAlgebra.map_top", |
|
"Set.finite_range_findGreatest", |
|
"Filter.Tendsto.zpow", |
|
"MeasurableEmbedding.comap_eq", |
|
"HasFPowerSeriesOnBall.analyticAt", |
|
"CauSeq.lim_le", |
|
"Int.div_mul_cancel", |
|
"Complex.nnnorm_int", |
|
"Subsemigroup.map_map", |
|
"HasFDerivWithinAt.mono_of_mem", |
|
"Set.Icc_subset_Ioi_iff", |
|
"Algebra.toSubsemiring_eq_top", |
|
"Set.mem_union_left", |
|
"LinearPMap.adjoint_apply_eq", |
|
"not_eq_of_eq_true", |
|
"elementalStarAlgebra.isClosed", |
|
"Matrix.toLin'_apply", |
|
"Ordinal.blsub_id", |
|
"measurable_quotient_mk'", |
|
"EuclideanGeometry.left_ne_right_of_oangle_eq_pi_div_two", |
|
"isClopen_compl_iff", |
|
"LieSubalgebra.mem_mk_iff", |
|
"Ici_toDual", |
|
"antivaryOn_toDual_right", |
|
"Asymptotics.SuperpolynomialDecay.mul_param_zpow", |
|
"Cardinal.mk_out", |
|
"Module.Ray.someRayVector_ray", |
|
"OrderMonoidHom.toMonoidHom_eq_coe", |
|
"Fin.forall_fin_succ_pi", |
|
"apply_wcovby_apply_iff", |
|
"Subtype.mk_le_mk", |
|
"StarSubalgebra.range_le", |
|
"ContinuousOrderHom.coe_id", |
|
"IntervalIntegrable.aestronglyMeasurable", |
|
"AntisymmRel.trans_wcovby", |
|
"Continuous.prod_mk", |
|
"HasStrictFDerivAt.eq_implicitFunctionOfComplemented", |
|
"Matrix.of_add_of", |
|
"ContinuousMap.one_comp", |
|
"CategoryTheory.Limits.IsZero.eq_of_tgt", |
|
"\u03b5NFA.start_one", |
|
"CategoryTheory.Limits.WalkingPair.equivBool_symm_apply_false", |
|
"Matrix.conjTranspose_list_prod", |
|
"Nat.sqrt_add_eq'", |
|
"SetTheory.PGame.moveRight_nim'", |
|
"Turing.Tape.write_nth", |
|
"Hyperreal.Infinite.ne_zero", |
|
"SimpleGraph.Subgraph.neighborSet_sup", |
|
"CategoryTheory.isIso_of_epi_of_nonzero", |
|
"MeasureTheory.Measure.coe_add", |
|
"Option.Mem.leftUnique", |
|
"Quot.liftOn\u2082_mk", |
|
"CochainComplex.mkHom_f_1", |
|
"div_neg_of_pos_of_neg", |
|
"RingHom.Finite.of_surjective", |
|
"Finset.ne_empty_of_mem", |
|
"FractionalIdeal.map_comp", |
|
"CircleDeg1Lift.monotone", |
|
"Finset.disjiUnion_cons", |
|
"CategoryTheory.op_zsmul", |
|
"Ordinal.nat_cast_succ", |
|
"IsROrC.conj_re", |
|
"Set.div_eq_empty", |
|
"MvPolynomial.counit_surjective", |
|
"CauSeq.Completion.mk_mul", |
|
"Submodule.quotEquivOfEq_mk", |
|
"Continuous.Icc_extend'", |
|
"Function.Injective.sum_elim", |
|
"RingHom.map_list_prod", |
|
"ENNReal.essSup_const_mul", |
|
"Std.RBSet.mkRBSet_eq", |
|
"Ideal.IsPrime.radical_le_iff", |
|
"NonUnitalStarSubalgebra.mem_toNonUnitalSubalgebra", |
|
"Set.image_iInter_subset", |
|
"pathComponent_symm", |
|
"MeasureTheory.ProbabilityMeasure.toFiniteMeasure_embedding", |
|
"Hindman.exists_FP_of_finite_cover", |
|
"Prefunctor.pathStar_apply", |
|
"Set.Nonempty.of_mul_left", |
|
"Nat.bit0_lt_bit1", |
|
"Hyperreal.InfinitePos.pos", |
|
"CliffordAlgebra.EquivEven.Q'_apply", |
|
"SemiNormedGroupCat.explicitCokernelDesc_zero", |
|
"StrictMono.orderIsoOfSurjective_symm_apply_self", |
|
"OrderIso.toFun_eq_coe", |
|
"LinearMap.mulRight_toAddMonoidHom", |
|
"MulAut.mul_apply", |
|
"WithBot.le_of_add_le_add_right", |
|
"ExistsContDiffBumpBase.u_smooth", |
|
"StrictMonoOn.comp_strictAntiOn", |
|
"CentroidHom.toAddMonoidHom_eq_coe", |
|
"SetSemiring.up_down", |
|
"IsCoatom.le_iff", |
|
"IsCompact.totallyBounded", |
|
"isBoundedBilinearMap_smulRight", |
|
"IsMax.Ici_eq", |
|
"Finset.forall_of_forall_insert", |
|
"MonotoneOn.quasiconvexOn", |
|
"Subfield.closure_le", |
|
"NumberField.Units.dirichletUnitTheorem.seq_norm_ne_zero", |
|
"Ultrafilter.em", |
|
"AlternatingMap.curryLeft_add", |
|
"pi_nnnorm_const'", |
|
"Int.nonneg_of_pos", |
|
"contDiffWithinAt_inter", |
|
"Finsupp.support_neg", |
|
"Abelianization.lift.unique", |
|
"Unitization.inr_zero", |
|
"ENNReal.coe_lt_top", |
|
"SmoothBumpFunction.nhds_basis_support", |
|
"Set.center_eq_univ", |
|
"WithTop.toDual_symm_apply", |
|
"Finset.div_inter_subset", |
|
"LinearIsometryEquiv.norm_map", |
|
"BotHom.coe_comp", |
|
"isOpen_uniformity", |
|
"SemidirectProduct.inr_injective", |
|
"Nat.cast_min", |
|
"Derivation.sub_apply", |
|
"Complex.normSq_eq_zero", |
|
"ContMDiffOn.congr", |
|
"Fin.prod_univ_zero", |
|
"Order.bot_lt_succ", |
|
"IsScalarTower.coe_toAlgHom", |
|
"parallelogram_law_with_nnnorm", |
|
"Rat.zero_den", |
|
"Finset.codisjoint_inf_right", |
|
"Finsupp.comapSMul_single", |
|
"FirstOrder.Language.Equiv.toEmbedding_toHom", |
|
"Commute.multiset_sum_left", |
|
"Finset.monotone_filter_left", |
|
"DFinsupp.not_mem_neLocus", |
|
"isClopen_biInter_finset", |
|
"continuous_empty_function", |
|
"Set.Ioo_subset_Ico_self", |
|
"ConvexCone.Salient.anti", |
|
"Submodule.map_smul''", |
|
"IsROrC.continuous_normSq", |
|
"Set.sInf_eq_sInter", |
|
"ContDiffWithinAt.cos", |
|
"Polynomial.degree_lt_wf", |
|
"PSet.equiv_iff_mem", |
|
"CategoryTheory.ihom.coev_ev", |
|
"CategoryTheory.Limits.Bicone.toCone_\u03c0_app_mk", |
|
"Real.hasDerivAt_arcsin", |
|
"SetLike.homogeneous_coe", |
|
"Field.subset_closure", |
|
"lowerSemicontinuous_iff_isOpen_preimage", |
|
"HasDerivAt.tendsto_punctured_nhds", |
|
"CategoryTheory.Subgroupoid.map_comap_le", |
|
"Multiset.of_mem_filter", |
|
"MeasureTheory.AEDisjoint.of_null_right", |
|
"extChartAt_preimage_mem_nhdsWithin", |
|
"ApplicativeTransformation.preserves_pure", |
|
"Set.Subsingleton.measurableSet", |
|
"Set.Bounded.mono", |
|
"MulPosMono.toMulPosStrictMono", |
|
"inf_le_bihimp", |
|
"IsometryEquiv.symm_trans_apply", |
|
"Real.pi_div_two_eq_arcsin", |
|
"deriv_sq_norm_ne_zero", |
|
"Filter.eventuallyEq_principal", |
|
"ContinuousLinearMap.coe_restrictScalars", |
|
"Finset.fold_singleton", |
|
"IsCoatom.lt_iff", |
|
"ContinuousOrderHom.comp_id", |
|
"Matrix.fromBlocks_apply\u2081\u2081", |
|
"IsClopen.isClosed", |
|
"LieModuleHom.add_apply", |
|
"Finset.Icc_subset_Icc_left", |
|
"Complex.I_re", |
|
"frobenius_sub", |
|
"LinearMap.IsAlt.self_eq_zero", |
|
"CliffordAlgebra.EquivEven.reverse_e0", |
|
"NonUnitalAlgHom.subtype_comp_codRestrict", |
|
"star_intCast", |
|
"Filter.exists_eventuallyEq_const_of_forall_separating", |
|
"Int.eq_of_associated_of_nonneg", |
|
"Finset.mem_union_left", |
|
"Fin.val_two", |
|
"lowerBounds_mono", |
|
"HolderOnWith.ediam_image_inter_le_of_le", |
|
"edist_dist", |
|
"StrictConcaveOn.inf", |
|
"CategoryTheory.Limits.BinaryBicone.fstKernelFork_\u03b9", |
|
"TensorProduct.lid_tmul", |
|
"MeasurableSpace.generateFrom_sup_generateFrom", |
|
"ContinuousAt.rpow_const", |
|
"Subalgebra.coe_restrictScalars", |
|
"TrivSqZeroExt.inl_add", |
|
"Equiv.Perm.VectorsProdEqOne.rotate_zero", |
|
"ENNReal.continuous_nnreal_sub", |
|
"Finset.mul_univ_of_one_mem", |
|
"PowerSeries.coe_X", |
|
"Set.image_subtype_val_Ioo_subset", |
|
"Metric.isometry_inl", |
|
"Ideal.le_map_of_comap_le_of_surjective", |
|
"embedding_of_embedding_compose", |
|
"LieSubalgebra.span_empty", |
|
"hammingNorm_lt_one", |
|
"SubMulAction.mem_carrier", |
|
"Monoid.End.coe_pow", |
|
"IsROrC.I_mul_I_of_nonzero", |
|
"MeasureTheory.Integrable.integral_condDistrib", |
|
"MeasureTheory.StronglyMeasurable.div", |
|
"pow_ne_zero", |
|
"MeasurableEquiv.coe_smul\u2080", |
|
"Even.mul_left", |
|
"BoxIntegral.Prepartition.le_biUnionIndex", |
|
"MeasureTheory.Submartingale.sum_mul_sub'", |
|
"iteratedFDeriv_add_apply'", |
|
"QuotientGroup.homQuotientZPowOfHom_comp_of_rightInverse", |
|
"SimpleGraph.Reachable.trans", |
|
"zero_smul", |
|
"RingEquiv.toMonoidHom_commutes", |
|
"le_of_neg_of_one_div_le_one_div", |
|
"CategoryTheory.IsCofilteredOrEmpty.of_initial", |
|
"IsLeast.isGLB", |
|
"EMetric.diam_eq_zero_iff", |
|
"Antitone.vecCons", |
|
"Set.image3_congr'", |
|
"LatticeOrderedGroup.m_neg_part_def", |
|
"MeasureTheory.SimpleFunc.inv_apply", |
|
"LinearMap.range_toAddSubmonoid", |
|
"LinearMap.detAux_id", |
|
"min_lt_iff", |
|
"Submodule.mem_div_iff_forall_mul_mem", |
|
"ModuleCat.monoidalClosed_curry", |
|
"List.Forall\u2082.mp", |
|
"CategoryTheory.\u03bc_inv_naturality", |
|
"Asymptotics.IsLittleO.add", |
|
"CategoryTheory.FreeBicategory.mk_id", |
|
"Set.diff_univ", |
|
"ContinuousMultilinearMap.coe_restrictScalars", |
|
"prod_mk_mem_compRel", |
|
"Real.Angle.cos_coe", |
|
"nhds_eq_nhds_emetric_ball", |
|
"Std.RBNode.Stream.toList_nil", |
|
"Set.ordConnected_biInter", |
|
"VectorBundleCore.mem_localTriv_source", |
|
"MeasureTheory.Measure.measure_Ioo_eq_zero", |
|
"mul_left_cancel''", |
|
"AbstractCompletion.continuous_map", |
|
"LipschitzOnWith.edist_le_mul_of_le", |
|
"ContinuousOrderHom.coe_copy", |
|
"DiffContOnCl.const_smul", |
|
"Asymptotics.superpolynomialDecay_iff_abs_tendsto_zero", |
|
"IsGenericPoint.specializes_iff_mem", |
|
"CauSeq.mul_pos", |
|
"ContinuousMultilinearMap.bounds_bddBelow", |
|
"MeasureTheory.Measure.lintegral_bind", |
|
"PrimeMultiset.coeNat_injective", |
|
"List.argmin_singleton", |
|
"Subsemiring.center_eq_top", |
|
"IsLUB.exists_between_sub_self", |
|
"WithLp.equiv_symm_single", |
|
"AntitoneOn.convex_le", |
|
"inducing_subtype_val", |
|
"Subgroup.mem_iSup_of_mem", |
|
"NonUnitalStarSubalgebra.coe_center", |
|
"Set.image2_subset_iff", |
|
"MvPolynomial.le_weightedTotalDegree", |
|
"EReal.coe_sub", |
|
"Finset.inf'_insert", |
|
"MeasureTheory.LocallyIntegrableOn.add", |
|
"Polynomial.SplittingField.splits", |
|
"monotone_of_deriv_nonneg", |
|
"List.dProdIndex_nil", |
|
"CategoryTheory.MonoidalClosed.homEquiv_symm_apply_eq", |
|
"NormedAddGroupHom.smul_apply", |
|
"MeasureTheory.L1.SimpleFunc.setToL1SCLM_mono", |
|
"MeasureTheory.map_mul_right_eq_self", |
|
"ENNReal.mul_left_mono", |
|
"UpperSet.prod_sup", |
|
"selfAdjoint.val_one", |
|
"Filter.map\u2082_map_left_anticomm", |
|
"Multiset.monotone_filter_left", |
|
"ContinuousLinearMap.map_smul_of_tower", |
|
"Disjoint.dual", |
|
"Subsemigroup.le_comap_of_map_le", |
|
"AbstractCompletion.extend_comp_coe", |
|
"WithTop.ofDual_apply_top", |
|
"Pi.default_def", |
|
"List.singleton_eq", |
|
"CocompactMap.coe_copy", |
|
"Subgroup.map_inf_le", |
|
"Filter.HasBasis.clusterPt_iff", |
|
"ENNReal.inv_liminf", |
|
"Algebra.TensorProduct.productMap_left", |
|
"IsPreconnected.intermediate_value", |
|
"RingEquiv.toNonUnitalRingHom_refl", |
|
"Submodule.sInf_coe", |
|
"Orthonormal.toSubtypeRange", |
|
"LocalHomeomorph.contDiff_unitBallBall_symm", |
|
"SupHom.dual_id", |
|
"TypeVec.lastFun_subtypeVal", |
|
"isMinFilter_dual_iff", |
|
"CategoryTheory.GrothendieckTopology.Subpresheaf.sheafify_sheafify", |
|
"CategoryTheory.Preadditive.forkOfKernelFork_\u03b9", |
|
"USize.modn_toNat", |
|
"SetTheory.PGame.numeric_zero", |
|
"Function.minimalPeriod_id", |
|
"CliffordAlgebraComplex.Q_apply", |
|
"IsTorsion.quotient_iff", |
|
"Subring.toSubsemiring_injective", |
|
"Monoid.CoprodI.NeWord.singleton_last", |
|
"Ideal.isPrime_of_irreducible_absNorm", |
|
"MeasureTheory.MeasurePreserving.prod", |
|
"Equiv.eq_symm_comp", |
|
"Units.isSMulRegular", |
|
"Finite.one_lt_card", |
|
"IsClosed.upperSemicontinuousOn_indicator", |
|
"Subsingleton.strictMono", |
|
"MvPolynomial.vars_one", |
|
"CategoryTheory.Limits.Multicoequalizer.multicofork_\u03b9_app_right", |
|
"mul_eq_zero_comm", |
|
"NonUnitalSubsemiring.mem_closure_iff", |
|
"LocalHomeomorph.EqOnSource.eqOn", |
|
"Function.is_periodic_id", |
|
"LinearMap.mulRight_apply", |
|
"List.Chain'.take", |
|
"Set.symmDiff_def", |
|
"Smooth.smul", |
|
"SimpleGraph.Walk.darts_cons", |
|
"IsROrC.conj_I", |
|
"ContinuousAlternatingMap.map_piecewise_add", |
|
"SlashInvariantForm.coe_zero", |
|
"MeasureTheory.AEEqFun.lintegral_mk", |
|
"Set.inter_compl_self", |
|
"cauchySeq_tendsto_of_complete", |
|
"Cubic.ne_zero_of_b_ne_zero", |
|
"wellFounded_antisymmetrization_iff", |
|
"isIrreducible_singleton", |
|
"Subgroup.prod_mono_right", |
|
"Quaternion.mul_coe_eq_smul", |
|
"tendsto_pow_atTop_nhds_0_of_abs_lt_1", |
|
"ConjAct.toConjAct_mul", |
|
"Function.Commute.comp_right", |
|
"Filter.Germ.le_def", |
|
"Set.eqOn_comp_right_iff", |
|
"Monovary.sum_comp_perm_smul_le_sum_smul", |
|
"MvPolynomial.constantCoeff_smul", |
|
"AlgHom.range_comp", |
|
"CategoryTheory.Functor.const.opObjUnop_hom_app", |
|
"GroupFilterBasis.prod_subset_self", |
|
"MeasureTheory.SimpleFunc.bind_apply", |
|
"TopHom.ext", |
|
"Function.Surjective.of_comp_iff", |
|
"SetTheory.PGame.Impartial.equiv_zero_iff_le", |
|
"Nat.div2_zero", |
|
"Sum.getLeft?_inl", |
|
"AlternatingMap.domDomCongr_perm", |
|
"Filter.coext", |
|
"Matrix.conjTranspose_list_sum", |
|
"coeFn_fourierLp", |
|
"Filter.prod_mono_right", |
|
"BoxIntegral.Prepartition.iUnion_biUnionTagged", |
|
"NNRat.toNNRat_mono", |
|
"uniformContinuous_toMul", |
|
"contDiffOn_succ_of_fderiv_apply", |
|
"MeasureTheory.AEStronglyMeasurable.inv", |
|
"RingHom.asBoolAlg_id", |
|
"BoundedContinuousFunction.dist_toContinuousMap", |
|
"HilbertBasis.tsum_inner_mul_inner", |
|
"tendsto_ceil_atTop", |
|
"SimpleGraph.Walk.length_concat", |
|
"MeasureTheory.condexpL1_congr_ae", |
|
"IsBaseChange.inductionOn", |
|
"FirstOrder.Language.Substructure.cg_closure", |
|
"ModelWithCorners.right_inv", |
|
"Cardinal.toNat_lt_of_lt_of_lt_aleph0", |
|
"isOpen_gt'", |
|
"Disjoint.inf_right", |
|
"Filter.mem_inf_iff", |
|
"LocalHomeomorph.refl_prod_refl", |
|
"Cardinal.mk_preimage_of_injective_of_subset_range_lift", |
|
"PerfectClosure.liftOn_mk", |
|
"Set.iInter\u2082_mono'", |
|
"LipschitzWith.continuous_compLp", |
|
"LinearEquivClass.range", |
|
"continuous_const", |
|
"DFinsupp.neLocus_add_left", |
|
"Order.Ideal.carrier_eq_coe", |
|
"Traversable.foldlm_map", |
|
"Subsemiring.range_fst", |
|
"Set.add_mem_Ioc_iff_left", |
|
"MeasureTheory.ae_eq_univ", |
|
"AddSubgroup.pointwise_smul_le_iff\u2080", |
|
"total_of", |
|
"ModularGroup.lcRow0_apply", |
|
"Monotone.map_sSup_of_continuousAt'", |
|
"StrictMono.minimal_of_minimal_image", |
|
"ContinuousMap.HomotopyEquiv.toFun_eq_coe", |
|
"PicardLindelof.continuousOn", |
|
"Finset.prod_range_add_div_prod_range", |
|
"NonUnitalStarSubalgebra.coe_centralizer", |
|
"LocalEquiv.prod_target", |
|
"Set.preimage_comp_eq", |
|
"LinearPMap.map_smul", |
|
"Set.biUnion_lt_succ", |
|
"Antivary.antivaryOn", |
|
"convex_Ioi", |
|
"Int.eq_of_mul_eq_one", |
|
"Setoid.mkClasses_classes", |
|
"Nat.recDiagAux_succ_succ", |
|
"WithTop.coe_mono", |
|
"Function.update_inv", |
|
"Set.Icc_union_Ico_eq_Ico", |
|
"balanced_iInter", |
|
"FirstOrder.Language.BoundedFormula.realize_rel", |
|
"Set.biInter_eq_iInter", |
|
"Set.Icc.coe_pow", |
|
"Int.covby_iff_succ_eq", |
|
"FreeLieAlgebra.liftAux_map_mul", |
|
"Con.comap_rel", |
|
"Equiv.emptySum_apply_inr", |
|
"hasBasis_nhdsSet_Ici_Ioi", |
|
"Set.image_mulSingle_Ioc_left", |
|
"LocalEquiv.prod_source", |
|
"isTotallySeparated_singleton", |
|
"Filter.tendsto_atTop_add_nonneg_right", |
|
"QuasiconcaveOn.inf", |
|
"isOpenMap_ofDual", |
|
"finprod_false", |
|
"Subsemigroup.coe_bot", |
|
"bihimp_right_surjective", |
|
"PrimeSpectrum.comap_singleton_isClosed_of_isIntegral", |
|
"Finset.insert_subset_insert", |
|
"MeasureTheory.aestronglyMeasurable_one", |
|
"Subring.pointwise_smul_subset_iff", |
|
"IsOpenMap.nhds_le", |
|
"Set.nontrivial_iff_exists_lt", |
|
"Monotone.Ici", |
|
"RingHom.congr_fun", |
|
"iInf_mono", |
|
"PerfectionMap.hom_ext", |
|
"Set.wellFoundedOn_singleton", |
|
"coe_mul_unitClosedBall", |
|
"upperClosure_empty", |
|
"BoundedContinuousFunction.dist_mkOfCompact", |
|
"CategoryTheory.Groupoid.isIsomorphic_iff_nonempty_hom", |
|
"OpenEmbedding.comp", |
|
"LinearEquiv.ofLinear_symm_apply", |
|
"himp_le_himp_right", |
|
"LipschitzWith.ae_differentiableAt_real", |
|
"forall_of_ball", |
|
"ContinuousLinearMap.adjointAux_apply", |
|
"Set.isSimpleOrder_Iic_iff_isAtom", |
|
"SetTheory.PGame.leftMoves_add", |
|
"Function.not_lt_argmin", |
|
"isLeast_univ", |
|
"MeasureTheory.Adapted.progMeasurable_of_discrete", |
|
"WellFounded.rank_lt_of_rel", |
|
"Finset.erase_mem_shadow", |
|
"Subalgebra.mem_centralizer_iff", |
|
"Filter.le_vsub_iff", |
|
"Set.Ioc.coe_pow", |
|
"CategoryTheory.Monoidal.rightUnitor_inv_app", |
|
"AddMonoidHom.mul_apply", |
|
"AlgebraicGeometry.PresheafedSpace.stalkMap_germ'", |
|
"ContinuousLinearEquiv.equivOfInverse_apply", |
|
"CategoryTheory.yonedaEquiv_apply", |
|
"Or.symm", |
|
"ContDiff.restrict_scalars", |
|
"Ordinal.nat_cast_pos", |
|
"QuaternionAlgebra.nat_cast_re", |
|
"PartitionOfUnity.le_one", |
|
"LocalHomeomorph.image_open_of_open'", |
|
"MonoidHomClass.continuous_of_bound", |
|
"antitone_const", |
|
"tsum_mul_tsum", |
|
"Polynomial.degree_one", |
|
"Zsqrtd.coe_int_sub", |
|
"MeasureTheory.Measure.MutuallySingular.smul_nnreal", |
|
"compl_singleton_mem_nhds_iff", |
|
"DualNumber.snd_eps", |
|
"FixedPoints.minpoly_eq_minpoly", |
|
"Ordnode.Valid.merge", |
|
"Set.mapsTo_empty", |
|
"Set.EqOn.comp_right", |
|
"Option.map_id''", |
|
"MeasureTheory.measure_mono_null", |
|
"MonoidHom.map_finprod_of_injective", |
|
"Set.Ioc.coe_mul", |
|
"tendsto_ceil_left_pure_ceil", |
|
"CliffordAlgebra.\u03b9_comp_lift", |
|
"lineMap_le_left_iff_le", |
|
"Set.iInter_comm", |
|
"Associates.out_injective", |
|
"ContinuousLinearMap.op_norm_le_of_shell", |
|
"PLift.up_surjective", |
|
"SetTheory.Game.PGame.equiv_iff_game_eq", |
|
"Set.mk_preimage_sigma_eq_empty", |
|
"Dense.exists_lt", |
|
"ContDiffAt.inversion", |
|
"TypeVec.dropFun_appendFun", |
|
"Set.image2_vsub", |
|
"zpow_lt_zpow", |
|
"MeasureTheory.integral_Ioi_of_hasDerivAt_of_nonpos'", |
|
"nndist_lineMap_right", |
|
"Action.sum_hom", |
|
"Rack.op_act_op_eq" |
|
] |
|
} |