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Created January 16, 2024 00:32
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intervalIntegral.integral_comp_smul_deriv''
Filter.lift_lift'_same_le_lift'
PartialHomeomorph.extend_left_inv'
Submodule.disjoint_span_singleton'
ContinuousOn.comp'
Computation.map_think'
List.LT'
ULift.mulDistribMulAction'
set_integral_withDensity_eq_set_integral_smul₀'
Bimod.TensorBimod.right_assoc'
LocalizedModule.lift'
Bimod.id_hom'
Option.bind_eq_bind'
ContinuousLinearMap.compFormalMultilinearSeries_apply'
CategoryTheory.Functor.biprodComparison'
Submodule.span_induction'
le_of_mul_le_mul_left'
List.iota_eq_reverse_range'
NormedAddCommGroup.tendsto_atTop'
Algebra.TensorProduct.natCast_def'
Measurable.lintegral_prod_left'
SetTheory.PGame.relabel_moveLeft'
Cubic.natDegree_of_c_ne_zero'
unitary.star_eq_inv'
Orientation.linearIsometryEquiv_comp_rightAngleRotation'
Multiset.prod_map_inv'
SSet.Quasicategory.hornFilling'
Int.odd_sub'
MeasureTheory.ae_eq_trim_iff_of_aeStronglyMeasurable'
StateRefT'.run'
CategoryTheory.MonoidalCategory.leftUnitor_tensor'
String.prev_of_valid'
sSup_image'
SimplexCategory.δ_comp_δ'
FunLike.coe_injective'
sub_le_iff_le_add'
DistribMulActionHom.map_zero'
ZMod.addOrderOf_coe'
pow_lt_pow_iff'
Derivation.coe_mk'
Finsupp.prod_add_index'
FinBddDistLat.of'
Std.Tactic.DeclCache.mk'
tendsto_inv_atTop_zero'
ModuleCat.RestrictScalars.obj'
MultilinearMap.mkContinuousLinear_norm_le'
Mathlib.Tactic.BicategoryCoherence.BicategoricalCoherence.whiskerLeft_hom'
Subsemigroup.eq_top_iff'
TopCat.Presheaf.pushforward_eq'
CharTwo.sub_eq_add'
Finset.Nat.antidiagonal_succ'
Fin2.ofNat'
Set.biInter_le_succ'
ValuationRing.cond'
Option.ne_none_iff_exists'
BoxIntegral.IntegrationParams.toFilterDistortioniUnion_neBot'
RingHom.map_zero'
ContMDiffSection.mdifferentiable'
RingEquiv.ofLeftInverse'
exists_eq_left'
toIocMod_sub'
gcd_zero_right'
DivInvMonoid.zpow_succ'
CategoryTheory.createsLimitOfFullyFaithfulOfLift'
ModuleFilterBasis.smul'
Submodule.Quotient.distribSMul'
CategoryTheory.ShortComplex.Exact.isIso_g'
Left.pow_lt_one_iff'
Polynomial.eval₂_mul_C'
sInfHom.map_sInf'
Basis.equiv'
List.filter_beq'
npow_mul'
Traversable.map_traverse'
HasFDerivAt.mul'
ULift.addAction'
CategoryTheory.Functor.map_comp_heq'
Lagrange.eval_interpolate_not_at_node'
isLUB_hasSum'
MulEquiv.mk'
ContinuousLinearEquiv.comp_right_hasFDerivAt_iff'
Prefunctor.MapReverse.map_reverse'
_private.Mathlib.MeasureTheory.Decomposition.SignedLebesgue.0.MeasureTheory.SignedMeasure.haveLebesgueDecomposition_mk'
sInf_eq_iInf'
Traversable.naturality'
AddMonoidHom.compHom'
HomologicalComplex.liftCycles'
Finset.sum_product_right'
Seminorm.continuousAt_zero'
Polynomial.coeff_expand_mul'
Lean.MVarId.congrImplies?'
List.pairwise_map'
finsum_mem_union'
AlgebraicGeometry.Scheme.Pullback.t'
Nat.one_le_pow'
CategoryTheory.ShortComplex.LeftHomologyData.ofIsColimitCokernelCofork_f'
TopologicalAddGroup.continuous_conj'
hasSum_geometric_two'
Commute.add_pow'
mul_lt_mul_of_lt_of_lt'
measurable_id'
Submonoid.closure_induction'
WType.cardinal_mk_eq_sum'
Mathlib.Command.Variable.completeBinders'
div_sub'
Lean.Elab.Term.TermElabM.run'
CategoryTheory.LaxBraidedFunctor.ext'
AlternatingMap.domCoprod'
intervalIntegral.measure_integral_sub_linear_isLittleO_of_tendsto_ae'
Nat.prime_def_lt''
Set.mulIndicator_one'
List.destutter'_is_chain'
Function.Periodic.tendsto_atBot_intervalIntegral_of_pos'
DirichletCharacter.toUnitHom_eq_char'
nat_mul_inj'
WellFounded.induction_bot'
Asymptotics.isBigO_snd_prod'
card_dvd_exponent_pow_rank'
instIsScalarTowerCyclotomicFieldToSMulToCommSemiringToSemiringToDivisionSemiringToSemifieldToSMulToCommSemiringInstFieldCyclotomicFieldAlgebra'ToCommRingToEuclideanDomainIdToCommSemiringAlgebra'
CategoryTheory.ComonadHom.ext'
GeneralizedContinuedFraction.abs_sub_convergents_le'
AntitoneOn.mul_strictAnti'
Int.exists_gcd_one'
Seminorm.ball_zero'
RingHom.eq_natCast'
MeasureTheory.Measure.set_integral_toReal_rnDeriv'
Rat.toNNRat_div'
Int.ediv_add_emod'
CochainComplex.mappingCone.d_fst_v'
Std.Format.pretty'
Basis.tensorProduct_apply'
Matrix.GeneralLinearGroup.mk'
IsPrimitiveRoot.zeta_sub_one_prime'
LieHom.map_lie'
Finset.min'
List.prev_getLast_cons'
AddSubmonoid.mrange_inl'
Mathlib.Tactic.Ring.atom_pf'
ProbabilityTheory.condexp_ae_eq_integral_condDistrib'
SetTheory.PGame.Short.mk'
CategoryTheory.ExactPairing.coevaluation_evaluation'
isOpen_extChartAt_preimage'
HasDerivAt.lhopital_zero_nhds'
inv_lt_of_inv_lt'
CategoryTheory.Functor.isContinuous_comp'
Ideal.comap_sInf'
MeasureTheory.snorm'_eq_zero_of_ae_zero'
hasFDerivAtFilter_pi'
Localization.mk_eq_monoidOf_mk'
MultilinearMap.mkContinuousMultilinear_norm_le'
PNat.gcdA'
CanonicallyLinearOrderedSemifield.zpow_neg'
IntermediateField.finrank_top'
Metric.closure_eq_iInter_thickening'
Multiset.subset_dedup'
Continuous.Icc_extend'
bernoulli'_spec'
ContinuousMultilinearMap.normedAddCommGroup'
Ordnode.Valid'.node'
MeasureTheory.L1.integralCLM'
WellFounded.monotone_chain_condition'
NormedSpace.expSeries_summable'
Sym2.map_id'
IsPrimitiveRoot.card_rootsOfUnity'
Units.mulAction'
Set.Sized.subsingleton'
IsCompact.ultrafilter_le_nhds'
mul_lt_of_lt_of_le_one'
CategoryTheory.GlueData.t'
MeasureTheory.ae_eq_dirac'
ModuleCat.instSMulαAddCommGroupMkOfSMul'
exists_open_set_nhds'
_private.Mathlib.Algebra.Module.Submodule.Lattice.0.Submodule.le_sInf'
Finset.norm_prod_le'
ZMod.isSquare_neg_one_iff'
HahnSeries.mul_coeff_right'
LinearMap.det_toMatrix'
_private.Lean.Elab.PreDefinition.Structural.FindRecArg.0.Lean.Elab.Structural.orelse'
ENNReal.inv_le_inv'
_private.Mathlib.MeasureTheory.Function.L2Space.0.MeasureTheory.L2.add_left'
SupHom.map_sup'
HomologicalComplex.homology'
StrictAntiOn.mul'
mul_lt_one'
Mod_.id_hom'
Sym2.other_invol'
one_le_inv'
AddEquiv.toMultiplicative'
Finset.sum_nonneg'
norm_pos_iff'
NonUnitalSubalgebra.toSubmodule'
WeierstrassCurve.Affine.Point.some_add_self_of_Yne'
Dense.exists_le'
CategoryTheory.ShortComplex.SnakeInput.L₁'
Int.mod_add_div'
IsAbsoluteValue.abv_one'
NormedSpace.toLocallyConvexSpace'
MeasureTheory.IsStoppingTime.measurableSet_ge_of_countable'
Bool.and_or_inj_left'
MeasureTheory.setToFun_congr_left'
String.Iterator.ValidFor.out'
Lean.PrettyPrinter.Parenthesizer.mkAntiquot.parenthesizer'
StarAlgHom.map_star'
Basis.mem_submodule_iff'
CategoryTheory.Limits.cokernel.desc'
Polynomial.coeff_toSubring'
MonoidWithZeroHom.map_mul'
LocalizedModule.instIsScalarTowerLocalizedModuleToSMulToSemiringInstSMulLocalizedModuleToSMulInstZeroLocalizedModuleToSMulZeroClassToZeroToCommMonoidWithZeroToSMulWithZeroToMonoidWithZeroToSemiringToMulActionWithZeroInstAddCommMonoidLocalizedModuleIsModule'
Monotone.const_mul'
List.Func.get_map'
GeneralizedContinuedFraction.of_convergents_eq_convergents'
RingCon.mk'
Pi.smulCommClass''
invOf_mul_self_assoc'
PartialHomeomorph.isOpen_extend_preimage'
ContinuousLinearMap.coe_smul'
Irreducible.natSepDegree_eq_one_iff_of_monic'
MvPolynomial.finSuccEquiv_support'
Quaternion.star_add_self'
CategoryTheory.HasPullbacksOfInclusions.preservesPullbackInl'
lcm_assoc'
MonotoneOn.mul_strictMono'
card_le_of_injective'
ContinuousMap.addUnitsLift_symm_apply_apply_neg'
LeftInvariantDerivation.left_invariant''
ClosedIciTopology.isClosed_ge'
one_le_thickenedIndicator_apply'
Filter.ptendsto_of_ptendsto'
QuadraticForm.posDef_of_toMatrix'
CategoryTheory.NatTrans.pi'
ProbabilityTheory.condexp_prod_ae_eq_integral_condDistrib'
star_div'
instMonadControlStateRefT'
Cubic.degree_of_c_eq_zero'
CategoryTheory.Localization.Lifting.compRight_iso'
Finsupp.addHom_ext'
List.minimum_le_of_mem'
fderiv_id'
CircleDeg1Lift.tendsto_translation_number₀'
DivisionRing.qsmul_eq_mul'
differentiableWithinAt_congr_set'
MeasureTheory.lintegral_eq_zero_iff'
CategoryTheory.GrothendieckTopology.transitive'
Filter.HasBasis.cauchySeq_iff'
hasGradientWithinAt_congr_set'
Turing.Tape.write_mk'
Turing.Tape.move_right_mk'
Stream'.instMembershipStream'
finprod_mem_mul_diff'
Pi.module'
Nat.psub'
LocalizedModule.isModule'
mul_le_mul'
Additive.isometricVAdd''
inv_sub_inv'
MeasureTheory.StronglyMeasurable.integral_kernel_prod_left''
Metric.hausdorffDist_triangle'
ComplexShape.up'
toIocDiv_neg'
MvPowerSeries.algebraMap_apply''
PartialHomeomorph.map_source''
MeasureTheory.tilted_const'
map_extChartAt_nhds'
norm_nonneg'
Cardinal.prod_const'
isLUB_csSup'
List.foldl_eq_of_comm'
exists_apply_eq_apply'
nhdsWithin_Iio_neBot'
IsLinearMap.isLinearMap_smul'
Magma.AssocQuotient.lift_comp_of'
Submonoid.center.commMonoid'
LinearMap.exists_map_addHaar_eq_smul_addHaar'
IsAddGroupHom.zero_iff_ker_neg'
Complex.hasSum_conj'
LinearOrder.lift'
QuotientAddGroup.lift_mk'
Set.range_quotient_mk'
CompleteLattice.independent_of_dfinsupp_sumAddHom_injective'
Finset.mem_map'
Pi.smulCommClass'
IsLowerSet.thickening'
Std.RBNode.Path.fill'
Set.vaddAssocClass'
lt_div_iff_mul_lt'
Nat.card_multiples'
GroupTopology.continuous_inv'
Matrix.map_op_smul'
mul_le_iff_le_one_left'
ContinuousAt.finset_inf'
TopologicalSpace.Compacts.isCompact'
Mathlib.Tactic.LibrarySearch.exact?'
Submodule.Quotient.smulZeroClass'
Cardinal.aleph'
ContinuousAddMonoidHom.mk'
Seminorm.continuous'
Inducing.isCompact_preimage'
CategoryTheory.Abelian.exact_iff'
ContDiffWithinAt.congr_of_eventually_eq'
Localization.r_eq_r'
SimpleGraph.Walk.cons'
Metric.cthickening_eq_iInter_thickening''
PiTensorProduct.smul_tprodCoeff'
CategoryTheory.Localization.instFaithfulFunctorCategoryFunctorCategoryWhiskeringLeftFunctor'
HasFiniteFPowerSeriesOnBall.fderiv'
sub_sq'
Option.orElse_eq_some'
ModuleCat.toCycles'
Pi.mulDistribMulAction'
UniformSpace.Completion.uniformity_dist'
Basis.mk_eq_rank'
bernoulli'
SeminormedGroup.ofMulDist'
NormedAddTorsor.dist_eq_norm'
Finset.sdiff_sdiff_left'
MeasureTheory.ProbabilityMeasure.map_apply'
MeasureTheory.Measure.count_eq_zero_iff'
Bitraversable.tsnd_eq_snd_id'
IsDedekindDomain.HeightOneSpectrum.AdicCompletion.algebra'
Matrix.toLinAlgEquiv'_toMatrixAlgEquiv'
CategoryTheory.Preadditive.epi_iff_surjective'
CoheytingHom.map_top'
Cubic.degree_of_b_eq_zero'
Complex.deriv_cos'
MonoidAlgebra.nonUnitalAlgHom_ext'
Ordnode.dual_node'
frontier_Iio'
IsUnit.mul_div_cancel'
EllipticCurve.coe_Δ'
tendsto_norm_atTop_iff_cobounded'
Quotient.out'
Cardinal.lift_lt_univ'
le_trans'
deriv_id'
Nat.even_xor_odd'
List.getLast_singleton'
iInf_mono'
Relation.TransGen.head'
AlgebraicGeometry.Scheme.mem_basicOpen_top'
Equiv.inhabited'
ENNReal.range_coe'
CategoryTheory.ShortComplex.opcyclesMap'_g'
CategoryTheory.isSheaf_yoneda'
PosNum.sub'
CategoryTheory.GrothendieckTopology.pullback_stable'
MeasurableSet.ite'
CategoryTheory.CosimplicialObject.δ_comp_σ_self'
Equiv.piCongrLeft'
isRegular_iff_ne_zero'
exists_dual_vector''
lt_trans'
ProbabilityTheory.kernel.integral_integral_sub'
InnerProductGeometry.norm_sub_sq_eq_norm_sq_add_norm_sq'
Subgroup.quotientEquivProdOfLE'
MonoidHom.map_zpow'
ball_eq'
Polynomial.hasseDeriv_zero'
Ideal.Quotient.smulCommClass'
MeasureTheory.UniformIntegrable.spec'
FreeMagma.traverse_pure'
Metric.hausdorffDist_empty'
map_sub'
Ideal.IsPrime.inf_le'
Matrix.minpoly_toLin'
MeasureTheory.IsFundamentalDomain.mk''
PartialHomeomorph.IsImage.iff_preimage_eq'
CategoryTheory.Limits.preservesCokernelZero'
Pi.supConvergenceClass'
LieAlgebra.Orthogonal.typeDEquivSo'
exists_signed_sum'
QuotientAddGroup.induction_on'
IsDedekindDomain.HeightOneSpectrum.adicValued.has_uniform_continuous_const_smul'
add_eq_of_eq_sub'
TopologicalGroup.of_nhds_one'
Localization.mulEquivOfQuotient_symm_mk'
finsum_mem_union''
Real.lt_arcsin_iff_sin_lt'
CategoryTheory.CostructuredArrow.toStructuredArrow'
hasSum_nat_add_iff'
sub_add_cancel''
MonoidAlgebra.lift_unique'
Finset.prod_preimage'
Subalgebra.instIsScalarTowerSubtypeMemSubalgebraInstMembershipInstSetLikeSubalgebraToSMulZeroToZeroToMonoidWithZeroToZeroMemClassToAddZeroClassToAddMonoidToAddMonoidWithOneToAddCommMonoidWithOneToNonAssocSemiringToAddSubmonoidClassSubsemiringClassToSMulZeroClassToZeroToCommMonoidWithZeroToSMulWithZeroToMonoidWithZeroToSemiringToMulActionWithZeroToAddCommMonoidToNonUnitalNonAssocSemiringToNonAssocSemiringToSubsemiringInstModuleSubtypeMemSubalgebraInstMembershipInstSetLikeSubalgebraToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonAssocSemiringToNonAssocSemiringToSubsemiringToSMulToSMulZeroClassToZeroToMonoidWithZeroToSMulWithZeroToMulActionWithZeroModule'
Set.indicator_le_self'
Valued.mk'
HasFPowerSeriesOnBall.tendstoUniformlyOn'
MeasureTheory.Content.innerContent_mono'
Std.BitVec.ofNat_toNat'
ProbabilityTheory.condCdf'
LieModule.instIsTrivialOfSubsingleton'
List.map_filter'
ContinuousAt.nnnorm'
ConvexOn.le_left_of_right_le'
MeasureTheory.measure_diff_null'
add_left_cancel''
Rat.normalize_eq_mk'
IsOpen.ite'
List.nodup.of_sublists'
CategoryTheory.Limits.Cotrident.IsColimit.desc'
IsPrecomplete.prec'
smoothWithinAt_finset_sum'
or_congr_right'
MvPowerSeries.invOfUnit_eq'
iter_deriv_inv'
AffineSubspace.mk'
CategoryTheory.ShortComplex.RightHomologyData.p_g'
Polynomial.rootMultiplicity_eq_natTrailingDegree'
MeasureTheory.lintegral_add_right'
_private.Mathlib.RingTheory.Polynomial.Cyclotomic.Roots.0.Polynomial.isRoot_cyclotomic_iff'
intervalIntegral.measure_integral_sub_linear_isLittleO_of_tendsto_ae_of_ge'
IsDedekindDomain.HeightOneSpectrum.AdicCompletion.instIsScalarTower'
HomologicalComplex.HomologySequence.instEpiObjFinHAddNatInstHAddInstAddNatOfNatInstOfNatNatToQuiverToCategoryStructSmallCategoryToPreorderInstPartialOrderFinToQuiverToCategoryStructToPrefunctorComposableArrows₃MkByContradictionLtInstLTNatDecLtNotNot_sat'_of_isImpossibleMkSomeIntOfNatOf_decide_eq_trueEqBoolIsImpossibleTrueInstDecidableEqBoolIdDecideReflConsNegSuccNilOfListCastInstNatCastIntCombine_sat'NoneTidy_satCombo_sat'AddInequality_satLe_of_le_of_eqInstOfNatIntHSubInstHSubInstSubIntEvalLinearComboInstSubLinearComboMkInstLEIntSub_nonneg_of_leOfNat_le_of_leTransCoordinateSub_congrSymmCoordinate_eval_0Coordinate_eval_1Sub_evalCoordinate_eval_2Le_of_not_ltInstAddLinearComboInstAddIntOfNat_addAdd_congrNatCast_ofNatAdd_evalMap'
Matrix.exp_conj'
CategoryTheory.Limits.colimit.homIso'
legendreSym.quadratic_reciprocity'
PowerSeries.algebraPolynomial'
pi_nnnorm_const'
Finset.sum_product'
Filter.tendsto_atTop_atTop_of_monotone'
AlgebraicGeometry.stalkToFiberRingHom_germ'
AlgHomClass.unitization_injective'
LinearMap.map_le_map_iff'
ModuleCat.restrictScalarsId'
contMDiffWithinAt_inter'
Fin.cases_succ'
_private.Mathlib.CategoryTheory.Adjunction.Basic.0.CategoryTheory.Adjunction.he'
Qq.Impl.floatLevelAntiquot'
Finset.exists_mem_eq_inf'
induced_orderTopology'
WittVector.nth_mul_coeff'
IsAbsoluteValue.abv_add'
MeasureTheory.VectorMeasure.m_iUnion'
WithSeminorms.tendsto_nhds'
finprod_mem_range'
EllipticCurve.variableChange_Δ'
mul_lt_of_lt_one_right'
DFinsupp.addZeroClass'
Algebra.TensorProduct.lmul'
SimplicialObject.Splitting.cofan'
ContinuousLinearMap.flipₗᵢ'
nhds_basis_uniformity'
Lean.Elab.Tactic.getNameOfIdent'
List.reverse_cons'
Module.End_algebraMap_isUnit_inv_apply_eq_iff'
ApplicativeTransformation.preserves_map'
minpoly.unique'
DivisionSemiring.zpow_neg'
lt_add_of_pos_of_lt'
pi_Ioc_mem_nhds'
CategoryTheory.Limits.Fork.IsLimit.mk'
Set.finite'
simply_connected_iff_paths_homotopic'
Asymptotics.isLittleO_iff_tendsto'
OrderMonoidWithZeroHom.monotone'
padicValNat_def'
Classical.byContradiction'
Group.fg_iff'
NonUnitalSubsemiring.mk'
QuotientAddGroup.out_eq'
Projectivization.mk''
AddSubsemigroup.add_mem'
LinearOrderedField.zpow_neg'
le_mul_of_le_of_one_le'
Rat.mk'
List.ofFn_inj'
lp.norm_le_of_forall_le'
SimplicialObject.Splitting.IndexSet.ext'
ADEInequality.E'
Filter.mem_iInf_finite'
Nat.base_pow_length_digits_le'
CategoryTheory.Functorial.map_comp'
ContinuousOn.finset_sup'
Rat.le'
Nat.Primrec.swap'
IntermediateField.normal_iff_forall_map_eq'
CategoryTheory.additive_coyonedaObj'
MeasureTheory.measure_eq_iInf'
Finset.preimage_add_left_zero'
InfHom.withBot'
Submonoid.LocalizationMap.map_mk'
Fin.partialProd_succ'
DFinsupp.filter_ne_eq_erase'
HomologicalComplex.opcyclesIsoSc'
IsLowerSet.cthickening'
Lean.Expr.getAppRevArgs'
eqRec_heq'
IsBaseChange.algHom_ext'
_private.Mathlib.SetTheory.Ordinal.Notation.0.ONote.exists_lt_mul_omega'
Set.union_diff_cancel'
List.prev_cons_cons_of_ne'
mul_le_of_le_one_of_le'
Int.fdiv_neg'
CategoryTheory.Comonad.left_counit'
AffineSubspace.mem_perpBisector_iff_inner_eq_zero'
Filter.EventuallyEq.iteratedFDerivWithin'
CharP.cast_eq_zero_iff'
Multiset.measurable_prod'
Set.Iic_mul_Iio_subset'
IsFractionRing.lift_mk'
Finset.measurable_prod'
BoundedContinuousFunction.hasSMul'
CategoryTheory.ShortComplex.RightHomologyData.ι_g'
lcm_comm'
MeasureTheory.OuterMeasure.trim_eq_iInf'
MvPolynomial.support_esymm''
Set.range_quotient_lift_on'
Finset.image₂_singleton_left'
CategoryTheory.ShortComplex.abLeftHomologyData_f'
QuotientAddGroup.ker_mk'
pow_lt_pow'
Finset.subset_singleton_iff'
Ordinal.typein_le_typein'
TopHom.map_top'
SimpleGraph.cliqueSet_mono'
CategoryTheory.NatTrans.vcomp_app'
Multiset.map_const'
beq_self_eq_true'
Matrix.tail_val'
ContinuousWithinAt.finset_inf'
isArtinian_pi'
Set.biUnion_lt_succ'
eq_orthogonalProjection_of_mem_orthogonal'
LipschitzOnWith.of_dist_le'
Function.iterate_succ'
Filter.mem_comap''
TruncatedWittVector.commutes_symm'
SubNegMonoid.zsmul_zero'
fourier_add'
RatFunc.liftOn'
_private.Mathlib.Tactic.Congr!.0.implies_congr'
mul_left_inj'
IsLocalization.algebraMap_mk'
CategoryTheory.Subgroupoid.IsNormal.conj'
norm_ne_zero_iff'
map_zsmul'
Filter.Germ.coe_vadd'
Filter.tendsto_atBot_of_add_bdd_below_right'
Nat.sum_divisorsAntidiagonal'
linearIndependent_fin_succ'
CategoryTheory.ShortComplex.Exact.epi_f'
smul_pow'
CategoryTheory.ShortComplex.LeftHomologyMapData.ofEpiOfIsIsoOfMono'
Set.Finite.exists_maximal_wrt'
MeasureTheory.condexp_bot'
Lean.localDeclDependsOn'
Finsupp.ext_iff'
toIcoMod_sub_zsmul'
Associates.factors'
Nat.Ico_eq_range'
Basis.reindexRange_repr'
Lean.withoutModifyingState'
AddMonoidHom.map_add'
conjugate_nonneg'
Sym.symEquivSym'
Polynomial.IsSplittingField.splits'
ConvexCone.add_mem'
CategoryTheory.ComposableArrows.obj'
Finset.sum_image'
smooth_finset_sum'
Sigma.exists'
Mathlib.Tactic.BicategoryCoherence.BicategoricalCoherence.assoc'
_private.Mathlib.NumberTheory.Padics.Hensel.0.newton_seq_dist_tendsto'
surjective_quotient_mk'
Subalgebra.module'
Gamma_mem'
AddSubgroup.map_equiv_eq_comap_symm'
Std.BinomialHeap.Imp.Heap.WF.merge'
Nat.sqrt_le'
Mathlib.Tactic.ComputeDegree.degree_eq_of_le_of_coeff_ne_zero'
Multiset.count_sum'
Submonoid.LocalizationMap.mk'_spec'
MeasureTheory.Measure.empty_of_count_eq_zero'
Filter.map_inv'
ContDiffWithinAt.congr'
Diffeomorph.symm_trans'
Fintype.prod_strictMono'
Nat.binaryRec_eq'
CategoryTheory.SimplicialObject.δ_comp_δ_self'
Stream'.Seq1.map_join'
Multiset.extract_gcd'
AddMonoid.exponent_min'
PartialHomeomorph.trans_target'
Pi.OmegaCompletePartialOrder.flip₂_continuous'
IsLocalization.ringEquivOfRingEquiv_mk'
NonUnitalSubalgebra.toNonUnitalSubring'
Finsupp.mapRange_neg'
Associates.dvd_of_mem_factors'
Filter.lift'
NormedField.norm_mul'
Lean.Parser.Term.forInMacro'
suffixLevenshtein_nil'
ConvexOn.mul'
NNReal.rpow_add'
_regBuiltin.Lean.Elab.Term.elabForIn'
zpow_add'
Real.sin_arcsin'
Option.orElse_none'
isArtinian_submodule'
Submodule.hasSMul'
iteratedDerivWithin_succ'
Matrix.vec3_dotProduct'
VectorPrebundle.pretrivialization_linear'
Sym.cons'
CategoryTheory.Comonad.δ'
Lean.Meta.getMVarType'
LieSubalgebra.coe_incl'
Submonoid.LocalizationMap.mulEquivOfMulEquiv_mk'
Submonoid.LocalizationMap.mk'_eq_iff_eq'
AddSubgroup.neg_mem'
Mathlib.Tactic.haveIdLhs'
Subtype.forall'
Num.succ_ofInt'
SNum.drec'
CategoryTheory.Limits.Sigma.ι_comp_map'
_private.Mathlib.Algebra.Module.LocalizedModule.0.LocalizedModule.nsmul_zero'
CommGroupWithZero.zpow_neg'
Finset.untrop_sum'
LowerSemicontinuousOn.add'
Submodule.mul_induction_on'
top_sdiff'
AddSubmonoid.LocalizationMap.exists_of_sec_mk'
MeasureTheory.Measure.rnDeriv_pos'
Submonoid.one_mem'
AddLocalization.r_eq_r'
Lean.PersistentHashSet.insert'
neg_add_le_iff_le_add'
lt_div_iff_of_neg'
AntilipschitzWith.to_rightInvOn'
MulAction.selfEquivSigmaOrbitsQuotientStabilizer'
Ico_mem_nhdsWithin_Ici'
Polynomial.natTrailingDegree_eq_support_min'
UpperHalfPlane.cosh_dist'
multiplicity.is_greatest'
SchwartzMap.seminorm_le_bound'
DedekindDomain.ProdAdicCompletions.algebra'
AdjoinRoot.equiv'
ContinuousLinearMap.toSpanSingleton_smul'
_private.Mathlib.Combinatorics.HalesJewett.0.Combinatorics.Line.exists_mono_in_high_dimension'
CategoryTheory.ShortComplex.RightHomologyData.exact_iff_mono_g'
CategoryTheory.Pretriangulated.mem_distTriang_op_iff'
mul_lt_of_lt_of_lt_one'
AddLocalization.mk_eq_mk_iff'
FirstOrder.Language.DirectLimit.relMap_quotient_mk'_sigma_mk'
CategoryTheory.IsPullback.inr_fst'
IsCyclotomicExtension.neZero'
MeasureTheory.IsStoppingTime.measurableSet_lt_of_countable'
Computable.vector_ofFn'
MulRingSeminorm.map_one'
Matrix.cons_val_succ'
TopCat.Presheaf.generateEquivalenceOpensLe_inverse'
IsFractionRing.mk'_num_den'
geom_sum_Ico'
_private.Mathlib.Algebra.Module.Submodule.Lattice.0.Submodule.sInf_le'
Fin.ofNat''
Mathlib.Tactic.induction''
HomotopyEquiv.toQuasiIso'
TopologicalSpace.Opens.map_comp_obj'
NonUnitalSubalgebra.instModule'
ZMod.cast_sub'
List.mapIdxM'
Filter.tendsto_atTop_of_add_bdd_above_right'
Int.Prime.dvd_pow'
Traversable.traverse_map'
toLex_vadd'
WriterT.goto_mkLabel'
ClusterPt.of_le_nhds'
AddCommGroup.ModEq.add_right_cancel'
Finset.piecewise_mem_Icc'
UniformSpace.uniformContinuous_quotient_mk'
PicardLindelof.FunSpace.lipschitz'
ModuleCat.CoextendScalars.obj'
norm_pos_iff'''
CategoryTheory.ShortComplex.LeftHomologyData.ofEpiOfIsIsoOfMono'_f'
Std.Range.forIn_eq_forIn_range'
fderiv_mul_const'
_private.Mathlib.Analysis.InnerProductSpace.OfNorm.0.InnerProductSpaceable.add_left_aux2'
LinearEquiv.ofSubmodule'
Seminorm.smul'
Algebra.algebraMap_eq_smul_one'
IntermediateField.lift_insepDegree_bot'
Finset.piecewise_le_piecewise'
CategoryTheory.ShortComplex.isIso_homologyMap_of_epi_of_isIso_of_mono'
MeasureTheory.Measure.count_apply_eq_top'
Ordnode.Sized.balance'
Lean.PrettyPrinter.Parenthesizer.interpretParserDescr'
interior_eq_nhds'
Submodule.Quotient.mulAction'
zero_ne_one'
Multiset.powersetAux_perm_powersetAux'
norm_le_zero_iff''
MeasureTheory.measure_inter_conull'
_private.Mathlib.Algebra.Lie.BaseChange.0.LieAlgebra.ExtendScalars.bracket'
List.stronglyMeasurable_prod'
Finite.card_le_of_surjective'
update_le_update_iff'
Lean.MVarId.assertHypotheses'
dec_em'
RingFilterBasis.mul_left'
List.le_maximum_of_mem'
Cardinal.alephIdx_aleph'
IsEmpty.elim'
RingHom.toAlgebra'
Fin.pos_iff_ne_zero'
MeasureTheory.isClosed_aeStronglyMeasurable'
CategoryTheory.IsReflexivePair.common_section'
AddLocalization.liftOn₂_mk'
IsLocalization.exists_integer_multiple'
ne_of_mem_of_not_mem'
Equiv.coe_piCongr'
Lean.Expr.getRevArgD'
Fin.succ_zero_eq_one'
List.alternatingSum_cons_cons'
CategoryTheory.Functor.PreservesLeftHomologyOf.mk'
toSubalgebra_toIntermediateField'
Function.mulSupport_one_sub'
Filter.le_pure_iff'
ModuleCat.ExtendScalars.map'
Nat.pair_unpair'
map_natCast'
Nat.mul_lt_mul_of_lt_of_le'
Continuous.fst'
pow_mul'
add_neg_lt_iff_le_add'
List.pmap_append'
BilinForm.toLin'
AlgebraicIndependent.to_subtype_range'
ENNReal.biSup_add_biSup_le'
Polynomial.eval₂RingHom'
PartialEquiv.trans_source'
Bimod.TensorBimod.left_assoc'
EsakiaHom.exists_map_eq_of_map_le'
HomologicalComplex.Hom.comm'
Associated.of_pow_associated_of_prime'
CategoryTheory.Adjunction.functorialityCounit'
FractionalIdeal.coeIdeal_inj'
MeasureTheory.zero_mem_ℒp'
zero_le'
LinearEquiv.piCongrLeft'
AddSubgroup.map_le_map_iff'
Lean.Meta.repeat'
CategoryTheory.Limits.BinaryFan.IsLimit.lift'
IsGLB.exists_between'
Flow.map_zero'
AddChar.mulShift_spec'
PrincipalSeg.down'
Rat.toNNRat_lt_toNNRat_iff'
lt_mul_of_lt_of_one_lt'
Trivialization.coordChangeL_apply'
Ordinal.comp_bfamilyOfFamily'
pow_le_pow_left'
Nat.ne_of_lt'
Filter.tendsto_atBot_mono'
PartialEquiv.EqOnSource.trans'
Cardinal.lift_mk_shrink'
AddSubgroup.vadd_opposite_image_add_preimage'
one_lt_finprod'
Int.mul_lt_mul'
ConnectedComponents.coe_eq_coe'
SupHom.withTop'
Set.mulIndicator_diff'
hasFTaylorSeriesUpToOn_top_iff'
Localization.localRingHom_mk'
Set.WellFoundedOn.mono'
min_mul_distrib'
isOpen_iff_ultrafilter'
SmoothWithinAt.comp'
Set.mulIndicator_empty'
ProbabilityTheory.lintegral_mul_eq_lintegral_mul_lintegral_of_indepFun''
SimplexCategory.eq_σ_comp_of_not_injective'
Nat.ModEq.mul_right'
ConcaveOn.ge_on_segment'
ComputablePred.computable_iff_re_compl_re'
inv_mul_lt_iff'
Filter.lift_lift'_same_eq_lift'
mem_nhdsWithin_Iio_iff_exists_Ioo_subset'
Matrix.det_updateColumn_smul'
Ordinal.bfamilyOfFamily'
Invertible.copy'
Rat.normalize.reduced'
CategoryTheory.MonoidalCategory.hom_inv_id_tensor'
Real.cos_two_mul'
selfAdjointMatricesSubmodule'
Set.eq_of_mem_uIcc_of_mem_uIcc'
CategoryTheory.Monad.left_unit'
Finset.ofDual_inf'
CategoryTheory.IsCoreflexivePair.mk'
List.map₂Left_eq_map₂Left'
List.exists_of_set'
charZero_of_expChar_one'
Std.Tactic.Omega.OmegaM'
Bimod.TensorBimod.one_act_left'
WittVector.poly_eq_of_wittPolynomial_bind_eq'
FreeAddSemigroup.map_add'
Nat.multiplicative_factorization'
zsmul_lt_zsmul'
PartENat.get_ofNat'
DivisionSemiring.zpow_succ'
Normal.splits'
Std.RBNode.toStream_toList'
Monoid.Coprod.induction_on'
Matrix.det_comm'
Finset.isGreatest_max'
TopCat.Presheaf.pushforward_map_app'
IsFractionRing.isAlgebraic_iff'
List.next_cons_cons_eq'
Set.empty_card'
Set.Ioi_mul_Ici_subset'
MeasureTheory.integral_neg'
nhds_basis_Ioo'
CategoryTheory.Limits.Types.Colimit.ι_map_apply'
CompactExhaustion.isCompact'
CategoryTheory.ShortComplex.Exact.lift'
AlgebraicGeometry.StructureSheaf.stalkToFiberRingHom_germ'
Rack.PreEnvelGroupRel'
ProbabilityTheory.IndepFun.integral_mul'
Polynomial.mkDerivation_one_eq_derivative'
padicNormE.eq_padic_norm'
CategoryTheory.Presheaf.isSheafForIsSheafFor'
Doset.disjoint_out'
BoxIntegral.Prepartition.mem_split_iff'
Polynomial.IsUnitTrinomial.irreducible_of_coprime'
exists_deriv_eq_zero'
StrictConvexOn.lt_on_open_segment'
ModelWithCorners.unique_diff'
WittVector.peval_polyOfInterest'
LinearPMap.ext'
List.mem_sublists'
Finset.nnnorm_prod_le'
CompositionSeries.ofList_toList'
LinearMap.llcomp_apply'
Monoid.exponent_min'
CauSeq.mul_equiv_zero'
Lean.Expr.ne?'
Quotient.mk_out'
CoheytingHom.map_sdiff'
Rat.sub_def''
isClosed_induced_iff'
Filter.HasBasis.inf'
Set.LeftInvOn.image_inter'
root_X_pow_sub_C_ne_zero'
fourier_coe_apply'
TopologicalSpace.PositiveCompacts.nonempty'
List.sublists_perm_sublists'
Mathlib.Meta.Finset.range_succ'
List.concat_eq_append'
ConvexCone.smul_mem'
NormedLinearOrderedField.norm_mul'
CategoryTheory.MonoidalCategory.tensor_inv_hom_id'
Monotone.map_finset_max'
AlgebraicTopology.DoldKan.Γ₀.Obj.map_on_summand₀'
minpoly.dvd_map_of_isScalarTower'
CategoryTheory.MonadHom.ext'
pow_lt_one'
SimpleGraph.Partition.toColoring'
MeasureTheory.lintegral_count'
AddGroupSeminorm.map_zero'
Equiv.Perm.sign_swap'
div_mul_div_cancel''
MeasureTheory.Ioo_ae_eq_Ioc'
AddMonoidHom.comap_bot'
IsROrC.zero_re'
ProbabilityTheory.kernel.integral_integral_add'
Finset.PiFinsetCoe.canLift'
CategoryTheory.ShortComplex.HasLeftHomology.mk'
Pi.infConvergenceClass'
Finset.Icc_subset_uIcc'
IsPreconnected.induction₂'
Nat.floor_eq_on_Ico'
IsCyclotomicExtension.Rat.discr_prime_pow'
MulChar.map_nonunit'
Subbimodule.toSubmodule'
min_def'
MeasureTheory.L1.SimpleFunc.setToL1SCLM'
mapsTo_omegaLimit'
NormedSpace.expSeries_summable_of_mem_ball'
Nat.Partrec.merge'
ne_of_irrefl'
Nat.cauchy_induction'
Ultrafilter.neBot'
CategoryTheory.ShortComplex.Exact.desc'
_private.Mathlib.FieldTheory.IsAlgClosed.AlgebraicClosure.0.AlgebraicClosure.toStepOfLE'
LinearMap.separatingLeft_toLinearMap₂'_of_det_ne_zero'
SmoothMap.smul_comp'
Int.ModEq.add_right_cancel'
ContinuousLinearMap.NonlinearRightInverse.right_inv'
Finset.prod_eq_one_iff'
CategoryTheory.ShortComplex.RightHomologyData.ofIsColimitCokernelCofork_g'
CategoryTheory.PreservesPullbacksOfInclusions.preservesPullbackInl'
List.foldl_map'
le_csInf_iff'
MeasureTheory.Lp.simpleFunc.eq'
Int.negSucc_mul_negSucc'
IsUnit.val_unit'
le_hasSum'
Pi.sum_norm_apply_le_norm'
List.range_loop_range'
Sym2.Mem.other'
Num.cast_sub'
hasFDerivWithinAt_congr_set'
measurable_quotient_mk''
Set.indicator_empty'
Rat.inv_def'
inv_zpow'
Lean.mkConst'
Submodule.linearProjOfIsCompl_apply_right'
unitInterval.le_one'
_private.Mathlib.Control.Functor.Multivariate.0.MvFunctor.f'
SetTheory.PGame.moveRight_nim'
MeasureTheory.Measure.le_iff'
abs_le_of_sq_le_sq'
ConvexOn.le_on_segment'
MeasureTheory.Measure.ext_of_Ioc'
_private.Mathlib.Topology.MetricSpace.PseudoMetric.0.dist_nonneg'
Nat.nth_le_nth'
zpow_bit0'
ContractingWith.one_sub_K_pos'
AddSubgroup.toSubgroup'
_private.Mathlib.Algebra.Module.LocalizedModule.0.LocalizedModule.zero_add'
PFunctor.liftp_iff'
Computability.inclusionBoolΓ'
instFintypeSym'
Asymptotics.isLittleO_iff_nat_mul_le'
Monad.mapM'
List.get_range'
Array.ext'
AffineEquiv.mk'
IntermediateField.eq_of_le_of_finrank_eq'
AddCommGroup.ModEq.of_neg'
QuotientGroup.mk'_eq_mk'
Filter.tendsto_prod_iff'
MeasureTheory.Measure.LebesgueDecomposition.iSup_mem_measurableLE'
LinearOrder.liftWithOrd'
List.take_one_drop_eq_of_lt_length'
intervalIntegral.integral_comp_smul_deriv'
Pi.mulAction'
CategoryTheory.Limits.Trident.IsLimit.lift'
RingQuot.ringQuot_ext'
Nat.Prime.multiplicity_choose'
Polynomial.div_tendsto_atTop_of_degree_gt'
LinearOrderedCommGroup.mul_lt_mul_left'
Tuple.eq_sort_iff'
_private.Mathlib.NumberTheory.Padics.Hensel.0.calc_eval_z'
StrictAntiOn.mul_antitone'
MeasureTheory.SimpleFunc.integral_eq_lintegral'
Rat.floor_def'
MvPowerSeries.algebraMap_apply'
Finset.sum_sigma'
homology'.desc'
Ordnode.balance'
MeasureTheory.withDensityᵥ_add'
ENNReal.div_le_of_le_mul'
MeasureTheory.Lp.ae_tendsto_of_cauchy_snorm'
CategoryTheory.Limits.Sigma.map'
CategoryTheory.Functor.splitMonoBiprodComparison'
ContinuousAt.snd'
measurable_limsup'
sup_eq_half_smul_add_add_abs_sub'
CategoryTheory.Limits.IsColimit.homIso'
tsum_eq_add_tsum_ite'
ContinuousOn.exists_forall_ge'
IsAbsoluteValue.abvHom'
AlgebraicIndependent.map'
Polynomial.rootMultiplicity_pos'
geom_sum_succ'
forall_eq'
PosNum.one_sub'
MulEquiv.mk_coe'
Pi.isScalarTower''
List.get_drop'
AddGroup.fg_iff'
MvPolynomial.eval₂Hom_X'
Submodule.smul_mem'
Seminorm.coe_sSup_eq'
ZMod.cast_int_cast'
CategoryTheory.ShortComplex.RightHomologyData.ofEpiOfIsIsoOfMono'
addOrderOf_eq_zero_iff'
CuspForm.zero_at_infty'
Real.logb_nonpos_iff'
deriv_const'
lt_inv'
Function.Periodic.tendsto_atTop_intervalIntegral_of_pos'
Filter.tendsto_atBot_add_left_of_ge'
CategoryTheory.Limits.biprod.symmetry'
Mathlib.Tactic.BicategoryCoherence.BicategoricalCoherence.assoc_hom'
Sym.map_id'
Cardinal.mk_eq_two_iff'
PartitionOfUnity.sum_eq_one'
Finset.tsum_subtype'
AEMeasurable.inf'
Set.image_mul_left'
Prod.isometricVAdd'
TypeVec.subtypeVal_toSubtype'
AlgebraicGeometry.Scheme.OpenCover.gluedCoverT'
Submodule.finrank_add_inf_finrank_orthogonal'
Cubic.natDegree_of_a_eq_zero'
AddEquiv.mk'
GroupFilterBasis.mul'
SubNegMonoid.zsmul_neg'
Complex.mul_conj'
Finset.prod_fiberwise_of_maps_to'
Quaternion.self_add_star'
BoundedContinuousFunction.map_bounded'
Finset.aemeasurable_sum'
Polynomial.degree_eq_card_roots'
squeeze_zero_norm'
Cardinal.add_eq_max'
ContDiffWithinAt.fderivWithin'
Finset.sum_pos'
ContinuousMap.continuous_eval'
Qq.Impl.betaRev'
iteratedFDerivWithin_eventually_congr_set'
MeasureTheory.inducedOuterMeasure_eq_extend'
Pi.norm_def'
Turing.PartrecToTM2.Λ'
PowerSeries.trunc_zero'
AlgebraicGeometry.SheafedSpace.IsOpenImmersion.hasLimit_cospan_forget_of_left'
Finset.card_pow_div_pow_le'
LinearMap.trace_eq_contract_of_basis'
FreeMonoid.countP_of'
ShelfHom.map_act'
Lean.simpLevelMax'
CategoryTheory.Biprod.gaussian'
Equiv.Perm.exists_fixed_point_of_prime'
Continuous.comp'
Set.Finite.seq'
AddSubmonoid.iSup_induction'
AddMonoidAlgebra.of'
Continuous.exists_forall_le'
AddAction.orbitZMultiplesEquiv_symm_apply'
MeasureTheory.lpMeas.ae_fin_strongly_measurable'
Filter.NeBot.ne'
LinearOrderedSemifield.zpow_neg'
ONote.NFBelow.oadd'
hasStrictDerivAt_exp_smul_const_of_mem_ball'
Filter.tendsto_iInf'
OrderDual.instVAddAssocClass'
MeasureTheory.Measure.pi'
lt_mul_of_le_of_one_lt'
Turing.TM1to0.Λ'
WriterT.mkLabel'
Mathlib.Meta.NormNum.Result.toRat'
MeasureTheory.Memℒp.integrable_norm_rpow'
Set.vadd_inter_ne_empty_iff'
Metric.cthickening_subset_thickening'
List.replicate_succ'
AkraBazziRecurrence.asympBound_def'
ModuleCat.ExtendScalars.obj'
Subgroup.closure_mul_image_eq_top'
ModularForm.holo'
CategoryTheory.ComposableArrows.naturality'
Polynomial.separable_def'
CategoryTheory.SheafOfTypes.Hom.ext'
Decidable.or_congr_right'
HasStrictFDerivAt.mul'
synthesizeUsingTactic'
List.chain'_map_of_chain'
Algebra.TensorProduct.ext'
Basis.det_map'
FreeAbelianGroup.lift.add'
IsLocalization.fintype'
not_and'
Nat.uIcc_eq_range'
List.take_left'
SimplicialObject.Splitting.hom_ext'
List.mem_permutationsAux2'
HasFTaylorSeriesUpToOn.zero_eq'
MeasureTheory.Measure.inv_rnDeriv'
Lean.Expr.getAppFn'
Turing.TM0to1.Λ'
iteratedFDerivWithin_inter'
LinearMap.trace_comp_cycle'
Fin.forall_fin_succ'
Filter.principal_le_lift'
Finset.prod_finset_product_right'
csSup_le_iff'
AlgEquiv.map_add'
Subgroup.transferTransversal_apply''
CategoryTheory.IsPushout.inl_snd'
CategoryTheory.GlueData.mapGlueData_t'
DiscreteValuationRing.addVal_def'
Seminorm.uniformContinuous_of_forall'
MeasureTheory.AEStronglyMeasurable.mono'
Path.map'
CategoryTheory.yonedaEquiv_naturality'
List.rotate'_rotate'
le_iff_forall_pos_lt_add'
zsmul_lt_zsmul_iff'
AddCommGroup.ModEq.add_left_cancel'
Lean.Meta.evalExpr'
Matrix.adjugate_adjugate'
LatticeHom.coe_comp_sup_hom'
imageSubobjectIso_imageToKernel'
MeasureTheory.OuterMeasure.isCaratheodory_iff_le'
AkraBazziRecurrence.T_gt_zero'
Turing.Tape.map_mk'
Option.map_some'
Nat.primesBelow_card_eq_primeCounting'
Array.foldrM_push'
Nat.Partrec'
ContinuousWithinAt.inf'
List.zipWith_swap_prod_support'
Filter.lift'_mono'
CategoryTheory.ShortComplex.SnakeInput.δ_apply'
StrictConcaveOn.map_sum_eq_iff'
Semifield.zpow_neg'
Set.Ioc_mul_Ico_subset'
List.mem_range'
Option.map_bind'
Nat.monotone_primeCounting'
NonarchAddGroupNorm.eq_zero_of_map_eq_zero'
Function.Antiperiodic.funext'
DirectSum.Decomposition.decompose'
ContDiffAt.fst''
PiTensorProduct.lift.unique'
Equiv.subset_image'
Finset.measurable_range_sup''
Function.Antiperiodic.mul_const'
image_le_of_liminf_slope_right_lt_deriv_boundary'
Monotone.mul_strictMono'
mul_eq_one_iff'
Set.biUnion_and'
Asymptotics.isBigO_const_mul_right_iff'
Lean.IR.findDecl'
Finite.Set.finite_biUnion'
inv_le_one'
MvQPF.Cofix.corec'
EuclideanDomain.mod_add_div'
AlgebraicGeometry.Scheme.Pullback.gluing_t'
AddSubmonoid.mrange_inr'
MeasureTheory.lintegral_finset_sum'
frontier_Ici'
CofiniteTopology.isOpen_iff'
Lean.Compiler.LCNF.instMonadCodeBindStateRefT'
Order.isSuccLimitRecOn_succ'
MeasureTheory.Ioi_ae_eq_Ici'
CategoryTheory.ActionCategory.cases'
eq_div_of_mul_eq''
Finset.ofDual_max'
Pi.compact_Icc_space'
MeasureTheory.nonempty_inter_of_measure_lt_add'
Nat.factorial_inj'
CategoryTheory.MonoidalCategory.tensorHom_def'
lt_of_eq_of_lt'
FreimanHomClass.map_prod_eq_map_prod'
PartialHomeomorph.ofSet_trans'
CompactIccSpace.mk'
finsum_mem_image'
Fin.castPred_mk'
AffineIsometryEquiv.mk'
Int.mul_div_cancel'
Polynomial.isUnit_iff'
CategoryTheory.shiftFunctorAdd'
max_def'
_private.Mathlib.GroupTheory.Perm.Sign.0.Equiv.Perm.signAux_swap_zero_one'
MeasureTheory.Memℒp.snorm_indicator_le'
CategoryTheory.Limits.createsLimitFullSubcategoryInclusion'
LinearMap.pi_ext'
mul_nsmul'
Filter.tendsto_atBot_add_nonpos_left'
Real.exists_rat_eq_convergent'
MeasureTheory.measure_lt_top_of_isCompact_of_isMulLeftInvariant'
Con.lift_mk'
_private.Mathlib.NumberTheory.Padics.Hensel.0.bound'
Lean.PrettyPrinter.Delaborator.withBindingBodyUnusedName'
Profinite.NobelingProof.πs'
MeasureTheory.adapted_predictablePart'
BumpCovering.nonneg'
ZMod.nontrivial'
Equiv.Perm.isCycle_of_prime_order'
ProbabilityTheory.kernel.measurable_kernel_prod_mk_left'
CategoryTheory.ProjectiveResolution.instIsIsoOpcyclesPreadditiveHasZeroMorphismsToPreadditiveNatDownToAddRightCancelSemigroupToAddRightCancelMonoidToAddCancelMonoidToCancelAddCommMonoidToOrderedCancelAddCommMonoidStrictOrderedSemiringToOneCanonicallyOrderedCommSemiringObjHomologicalComplexPreadditiveHasZeroMorphismsToPreadditiveToQuiverToCategoryStructInstCategoryHomologicalComplexHomologicalComplexToQuiverToCategoryStructInstCategoryHomologicalComplexToPrefunctorMapHomologicalComplexComplexHasZeroObjectSelfOfNatInstOfNatNatHasHomologyCategoryWithHomology_of_abelianScObjToQuiverToCategoryStructToQuiverToCategoryStructToPrefunctorFromLeftDerivedZero'
CategoryTheory.Triangulated.someOctahedron'
Fin.one_mul'
Mathlib.Tactic.induction'
Finset.Colex.toColex_sdiff_lt_toColex_sdiff'
AEMeasurable.sup'
Filter.tendsto_congr'
nhdsWithin_Ici_basis'
zpow_le_zpow_iff'
ENNReal.exists_ne_top'
ProbabilityTheory.cgf_const'
CategoryTheory.MorphismProperty.instIsLocalizationLocalization'InstCategoryLocalization'Q'
HeytingHom.map_bot'
ValuationSubring.mem_or_inv_mem'
Equiv.Set.union'
Filter.tendsto_map'
HasFDerivWithinAt.mul'
LT.lt.ne'
Lean.withoutModifyingEnv'
RingEquiv.map_add'
Int.mod_def'
CochainComplex.shiftFunctorZero'
CategoryTheory.Functor.empty_ext'
ZMod.cast_pow'
SimpleGraph.dart_edge_eq_mk'_iff'
Finset.sum_bij'
le_map_add_map_div'
MeasureTheory.Measure.InnerRegularWRT.map'
MulActionHom.map_smul'
min_rec'
Finsupp.card_support_eq_one'
nhdsWithin_Ioi_neBot'
AlgebraicGeometry.LocallyRingedSpace.Hom.ext'
CategoryTheory.Endofunctor.Algebra.Initial.left_inv'
PowerSeries.algebraMap_apply'
AnalyticOn.congr'
MeasureTheory.snorm_const'
Ordinal.lift_down'
StrictMono.mul_const'
Equiv.forall_congr_left'
LinearOrderedCommGroupWithZero.zpow_zero'
HomologicalComplex.HomologySequence.instMonoObjFinHAddNatInstHAddInstAddNatOfNatInstOfNatNatToQuiverToCategoryStructSmallCategoryToPreorderInstPartialOrderFinToQuiverToCategoryStructToPrefunctorComposableArrows₃MkByContradictionLtInstLTNatDecLtNotNot_sat'_of_isImpossibleMkSomeIntOfNatOf_decide_eq_trueEqBoolIsImpossibleTrueInstDecidableEqBoolIdDecideReflConsNegSuccNilOfListCastInstNatCastIntCombine_sat'NoneTidy_satCombo_sat'AddInequality_satLe_of_le_of_eqInstOfNatIntHSubInstHSubInstSubIntEvalLinearComboInstSubLinearComboMkInstLEIntSub_nonneg_of_leOfNat_le_of_leTransCoordinateSub_congrSymmCoordinate_eval_0Coordinate_eval_1Sub_evalCoordinate_eval_2Le_of_not_ltInstAddLinearComboInstAddIntOfNat_addAdd_congrNatCast_ofNatAdd_evalMap'
ConvexOn.mul_concaveOn'
DedekindDomain.instIsScalarTowerProdAdicCompletionsToSMulToCommSemiringToSemiringToDivisionSemiringToSemifieldToSMulToCommSemiringToSemiringToCommSemiringInstCommRingProdAdicCompletionsInstAlgebraProdAdicCompletionsToCommSemiringToSemifieldToSemiringToCommSemiringInstCommRingProdAdicCompletionsToSMulAlgebra'
Equiv.isLawfulTraversable'
Fintype.sum_prod_type_right'
hasFTaylorSeriesUpToOn_pi'
hasFDerivAt_exp_smul_const'
Finset.preimage_mul_right_one'
CategoryTheory.ShortComplex.LeftHomologyData.op_g'
Subsemiring.mk'
MeasureTheory.upcrossingsBefore_zero'
MvPFunctor.wDest'
ModuleFilterBasis.smul_right'
dvd_antisymm'
zsmul_eq_mul'
CategoryTheory.IsPullback.isLimit'
mul_lt_mul'
CategoryTheory.Limits.Cofork.IsColimit.π_desc'
Affine.Simplex.face_points'
map_extChartAt_nhdsWithin'
SchwartzMap.smooth'
LieSubmodule.module'
AddGroupWithOne.zsmul_succ'
BoxIntegral.BoxAdditiveMap.sum_partition_boxes'
Option.orElse_eq_none'
Set.Ici_mul_Ioi_subset'
Dilation.ratio_comp'
CategoryTheory.IsSplitMono.mk'
List.Perm.recOnSwap'
ContinuousWithinAt.norm'
div_eq_of_eq_mul'
HomologicalComplex.boundaries_le_cycles'
MeasureTheory.lintegral_add_left'
Quotient.liftOn₂'
CategoryTheory.Limits.WalkingParallelPairHom.id.sizeOf_spec'
CategoryTheory.Functor.postcomp_map_heq'
ContinuousLinearMap.coe_add'
EMetric.diam_union'
OrderIso.isLUB_image'
PartialEquiv.map_target'
Finset.disjoint_filter_filter'
MeasureTheory.Measure.measurable_bind'
MeasureTheory.L1.setToL1_smul_left'
MonoidHom.comap_bot'
LinearIsometryEquiv.norm_map'
LinearMap.ker_smul'
Antitone.covariant_of_const'
ENNReal.mul_div_cancel'
CategoryTheory.Iso.inv_ext'
MvQPF.Cofix.dest_corec'
DFinsupp.coe_mk'
Partrec.merge'
MeasureTheory.Measure.mkMetric'
pow_lt_pow_iff_right'
LocallyBoundedMap.comap_cobounded_le'
Function.Antiperiodic.sub_eq'
Mathlib.Tactic.Polyrith.Poly.pow'
mul_le_mul_left'
Nat.ofDigits_lt_base_pow_length'
AddMonoidAlgebra.mem_span_support'
Matrix.toLin'
MeasureTheory.measurableSet_filtrationOfSet'
Mathlib.Meta.NormNum.jacobiSymNat.qr₁'
connectedComponents_lift_unique'
discreteTopology_iff_orderTopology_of_pred_succ'
AddCon.add'
eq_mul_of_div_eq'
hasMFDerivWithinAt_inter'
ReaderT.uliftable'
Finset.eq_prod_range_div'
dist_eq_norm'
CategoryTheory.Limits.zero_of_source_iso_zero'
Ordnode.ofList'
List.chain'_cons'
AddMonoidAlgebra.mem_grade_iff'
Fintype.card_congr'
List.aestronglyMeasurable_sum'
CategoryTheory.Preadditive.mono_of_isZero_kernel'
StrictMonoOn.mul_const'
Basis.mk_eq_rank''
Real.rpow_add'
CompHaus.toProfinite_obj'
Ioc_mem_nhdsWithin_Ioi'
TopologicalSpace.Closeds.closed'
Nat.find_min'
Filter.tendsto_atTop_add_nonneg_right'
_private.Lean.Meta.InferType.0.Lean.Meta.withLocalDecl'
Polynomial.natDegree_removeFactor'
WeierstrassCurve.Affine.addY'
MeasureTheory.integral_Ico_eq_integral_Ioo'
quasiIsoAt_iff_exactAt'
SlashInvariantForm.slash_action_eq'
IsAbsoluteValue.abv_mul'
sq_lt_sq'
Set.biInter_lt_succ'
HasCompactMulSupport.mono'
Std.HashMap.insert'
pi_Ico_mem_nhds'
Basis.mem_ideal_iff'
MeasureTheory.measure_union_add_inter₀'
CommRingCat.instCommRing'
MeasureTheory.Filtration.stronglyMeasurable_limit_process'
IsUnit.unit'
Int.even_xor'_odd'
Equiv.ofLeftInverse'
AlgebraicGeometry.Scheme.OpenCover.gluedCover_t'
Pi.single_eq_of_ne'
ContinuousLinearMap.apply'
CategoryTheory.IsPushout.of_isColimit'
Stream'.appendStream'
Turing.PartrecToTM2.instInhabitedCont'
CategoryTheory.Preadditive.exact_of_iso_of_exact'
Ordinal.nhds_right'
Finset.Nat.antidiagonal_succ_succ'
StructureGroupoid.locality'
Filter.hasBasis_biInf_principal'
HasSum.matrix_blockDiagonal'
Polynomial.div_tendsto_atBot_of_degree_gt'
Nat.nth_lt_nth'
CategoryTheory.Limits.Types.pi_map_π_apply'
bihimp_eq'
Finsupp.sum_cons'
HasCompactSupport.mono'
Function.iterate_succ_apply'
IsAlgClosed.algebraMap_surjective_of_isIntegral'
Polynomial.coeff_X_pow_mul'
Algebra.FormallyUnramified.ext'
LawfulBitraversable.binaturality'
eq_false'
CategoryTheory.Limits.pullback.lift'
PosNum.of_to_nat'
PartialHomeomorph.trans_source''
MeasureTheory.stoppedProcess_eq''
CategoryTheory.Localization.Construction.morphismProperty_is_top'
SupHom.withBot'
Trivialization.continuousLinearEquivAt_apply'
MeasureTheory.integral_zero'
RingCon.ext'
Nat.size_shiftLeft'
MvPolynomial.C_mul'
ContinuousMap.coe_const'
Option.guard_eq_some'
measurable_const'
Array.mapM'
MultilinearMap.domCoprod'
CategoryTheory.ShortComplex.LeftHomologyData.f'
LinearMap.id'
AddCircle.continuous_mk'
Denumerable.raise_lower'
hasStrictFDerivAt_exp_smul_const_of_mem_ball'
MeasureTheory.OuterMeasure.iInf_apply'
MeasureTheory.L1.SimpleFunc.setToL1SCLM_congr_left'
Set.smul_univ₀'
MonoidAlgebra.ringHom_ext'
Matrix.toLinearMapₛₗ₂'
forall_congr'
Classical.choice_of_byContradiction'
OmegaCompletePartialOrder.ContinuousHom.bind_continuous'
IsAddUnit.exists_neg'
UniformInducing.mk'
LinearMap.det_zero'
CategoryTheory.RegularEpi.desc'
Finset.all_card_le_biUnion_card_iff_existsInjective'
MeasureTheory.TendstoInMeasure.congr'
Nondet.toList'
integrableOn_Ici_iff_integrableOn_Ioi'
MvPolynomial.eval_eq_eval_mv_eval'
intervalIntegral.integral_deriv_comp_smul_deriv'
MeasureTheory.L1.setToL1_mono_left'
Part.eq_none_iff'
Equiv.exists_unique_congr_left'
gramSchmidtOrthonormalBasis_inv_triangular'
Set.Icc_mul_Icc_subset'
OrderDual.instIsScalarTower''
Ordinal.type_def'
IsGroupHom.one_iff_ker_inv'
Ioo_mem_nhdsWithin_Ioi'
Bimod.AssociatorBimod.hom_right_act_hom'
CategoryTheory.IsPushout.inr_fst'
Subring.closure_induction'
openSegment_eq_image'
tendsto_indicator_const_apply_iff_eventually'
Primrec₂.nat_iff'
ContinuousLinearMap.mul_apply'
ContinuousMap.module'
MeasureTheory.setLaverage_eq'
List.zip_map'
ofReal_norm_eq_coe_nnnorm'
beattySeq'
mul_rotate'
Finset.filter_attach'
isAddFundamentalDomain_Ioc'
CategoryTheory.ComposableArrows.app'
Module.Free.of_equiv'
PartialEquiv.trans_target'
CategoryTheory.Limits.Types.jointly_surjective'
Set.Iic_union_Icc'
EReal.nhds_top'
openSegment_eq_Ioo'
Sym.Sym'
memℓp_gen'
PiSubtype.canLift'
extChartAt_preimage_mem_nhdsWithin'
Ideal.Polynomial.isMaximal_comap_C_of_isJacobson'
deriv_inv''
CovBy.ne'
EuclideanGeometry.Sphere.mem_coe'
NonUnitalStarAlgHom.coe_mk'
Lean.Elab.Tactic.getMainTarget''
MeasureTheory.SimpleFunc.setToSimpleFunc_nonneg'
ModuleCat.restrictScalars.smul_def'
Set.image_affine_Icc'
Associates.mk_ne_zero'
PartialHomeomorph.IsImage.of_preimage_eq'
IsCyclotomicExtension.Rat.discr_prime_pow_eq_unit_mul_pow'
MeasureTheory.Measure.dirac_apply'
measurable_of_tendsto_nnreal'
Filter.Tendsto.div_const'
CategoryTheory.Injective.injective_iff_preservesEpimorphisms_preadditive_yoneda_obj'
exists_increasing_or_nonincreasing_subseq'
PFunctor.M.casesOn_mk'
FreeMagma.map_mul'
Submodule.Quotient.module'
List.length_rotate'
Fin.is_le'
MeasureTheory.snorm_sub_le'
Matrix.toLinearMapₛₗ₂'_toMatrix'
StructureGroupoid.LocalInvariantProp.left_invariance'
Matrix.Nondegenerate.toLinearMap₂'
inv_mul'
List.left_unique_forall₂'
ContDiffAt.hasStrictFDerivAt'
Fintype.subtypeEq'
Cardinal.lift_mk_eq'
Subgroup.closure_induction'
toIcoMod_add_zsmul'
Filter.Tendsto.atTop_mul_neg_const'
Std.BitVec.toNat_extractLsb'
AEMeasurable.const_smul'
nnnorm_pos'
integrableOn_Ico_iff_integrableOn_Ioo'
CategoryTheory.ShortComplex.hasHomology_of_epi_of_isIso_of_mono'
Set.iInter₂_mono'
Unique.subtypeEq'
ProbabilityTheory.condexp_ae_eq_integral_condexpKernel'
star_inv'
Filter.Tendsto.atBot_mul_neg_const'
Mathlib.Tactic.BicategoryCoherence.BicategoricalCoherence.whiskerRight_hom'
CategoryTheory.Functor.shiftIso_add'
CategoryTheory.ShortComplex.RightHomologyData.IsPreservedBy.hg'
MeasureTheory.StronglyMeasurable.const_smul'
Ideal.IsPrime.mem_or_mem'
MeasureTheory.lintegral_sub'
Lean.Elab.WF.GuessLex.RecCallCache.mk''
CategoryTheory.Limits.pullback.desc'
Localization.epi'
Fin.mul_one'
Finset.decidableForallOfDecidableSubsets'
List.Sublist.prod_le_prod'
Sublattice.supClosed'
MvPolynomial.coeff_X_mul'
IsIntegral.of_mem_closure''
FreeAbelianGroup.lift_neg'
StrictWeakOrder.not_lt_of_equiv'
Finset.Nonempty.cSup_eq_max'
Set.Ioc_union_Ioc'
BoundedLatticeHom.coe_comp_inf_hom'
CategoryTheory.ShortComplex.quasiIso_iff_isIso_leftHomologyMap'
forall_eq_apply_imp_iff'
Real.sqrt_lt'
Finset.min'_eq_inf'
Set.mulIndicator_compl'
Pi.smul'
le_of_tendsto_of_tendsto'
lt_mul_of_one_lt_left'
NormedAddGroupHom.completion_coe'
AddGroupSeminorm.add_le'
Mathlib.Meta.NormNum.invertibleOfMul'
AddSubmonoid.toSubmonoid'
BoundarylessManifold.isInteriorPoint'
Complex.conj_mul'
Function.Injective.eq_iff'
AddSubgroup.comap_equiv_eq_map_symm'
Polynomial.support_C_mul_X_pow'
Stream'.Seq.toList'
Submodule.orderIsoMapComap_apply'
SetTheory.PGame.moveRight_neg_symm'
ContinuousMap.const'
Measurable.lintegral_kernel_prod_right'
_private.Mathlib.Algebra.Order.ToIntervalMod.0.toIxxMod_total'
pairSelfAdjointMatricesSubmodule'
Lean.Meta.SavedState.runMetaM'
Nat.one_lt_pow'
List.range'
Nat.Partrec.Code.rfind'
Polynomial.natTrailingDegree_mul'
CategoryTheory.InjectiveResolution.instIsIsoObjToQuiverToCategoryStructToQuiverToCategoryStructToPrefunctorCyclesPreadditiveHasZeroMorphismsToPreadditiveNatUpToAddRightCancelSemigroupToAddRightCancelMonoidToAddCancelMonoidToCancelAddCommMonoidToOrderedCancelAddCommMonoidStrictOrderedSemiringToOneCanonicallyOrderedCommSemiringObjHomologicalComplexPreadditiveHasZeroMorphismsToPreadditiveToQuiverToCategoryStructInstCategoryHomologicalComplexHomologicalComplexToQuiverToCategoryStructInstCategoryHomologicalComplexToPrefunctorMapHomologicalComplexCocomplexHasZeroObjectSelfOfNatInstOfNatNatHasHomologyCategoryWithHomology_of_abelianScToRightDerivedZero'
Finset.sum_pi_single'
UniqueFactorizationMonoid.exists_reduced_factors'
ModularForm.bdd_at_infty'
MvPolynomial.eval₂_eq'
Finset.exists_le_of_prod_le'
Num.sub'
linearDependent_comp_subtype'
ProbabilityTheory.IsMarkovKernel.is_probability_measure'
LinearMap.IsProj.eq_conj_prod_map'
Pi.vaddCommClass''
MeasureTheory.SignedMeasure.toMeasureOfZeroLE'
padicNormE.add_eq_max_of_ne'
SubMulAction.mem_one'
ContinuousLinearMap.coe_mk'
IsUnit.val_inv_unit'
Submodule.smul_sup'
forall_apply_eq_imp_iff'
Linarith.mulExpr'
Option.none_bind'
RegularExpression.instDecidablePredListMemLanguageInstMembershipListLanguageMatches'
List.mem_permutations'
Lean.Elab.Term.resolveName'
Con.mk'
Subsemigroup.closure_induction'
Codisjoint.of_codisjoint_sup_of_le'
TensorProduct.smul_tmul'
CategoryTheory.Comonad.ε'
sSup_eq_iSup'
Set.range_ite_subset'
MeasureTheory.IsFundamentalDomain.measure_eq_tsum'
MeasureTheory.IsAddFundamentalDomain.set_lintegral_eq_tsum'
Filter.Tendsto.const_div'
linearIndependent_insert'
contMDiffWithinAt_iff'
QuasiErgodic.ae_empty_or_univ'
IsAddUnit.addUnit'
KaehlerDifferential.endEquivDerivation'
MeasureTheory.snorm_add_le'
Convex.add_smul_sub_mem_interior'
AddGroupFilterBasis.neg'
cauchySeq_iff'
List.dedup_cons_of_mem'
Polynomial.card_support_eraseLead'
MeasureTheory.SimpleFunc.setToSimpleFunc_smul_left'
Finset.exists_mem_eq_sup'
WithTop.coe_sInf'
continuous_div_left'
CategoryTheory.Limits.WidePushoutShape.evalCasesBash'
isAddUnit_iff_exists_neg'
Matrix.diagonal_intCast'
CauSeq.bounded'
Submodule.Quotient.mk'_eq_mk'
birkhoffSum_zero'
FirstOrder.Language.ElementaryEmbedding.map_formula'
Set.Iio_mul_Iic_subset'
Continuous.tendsto'
LocallyConstant.piecewise'
Seminorm.uniformContinuous'
FreeSemigroup.lift_comp_of'
CategoryTheory.ComposableArrows.map'_inv_eq_inv_map'
directedOn_pair'
StarAlgEquiv.map_smul'
IsSeparable.separable'
List.ofFn_succ'
PartialEquiv.map_source''
List.takeD_left'
List.count_cons'
Finsupp.subtypeDomain_eq_zero_iff'
Nat.strongRecOn'
CategoryTheory.ShortComplex.Exact.isIso_f'
IsLocalization.sec_spec'
Mod_.comp_hom'
Finsupp.mem_supported'
Subsemiring.eq_top_iff'
PFunctor.M.casesOn'
Sym2.other_mem'
Nat.dist_tri_right'
Nat.leRecOn'
Lean.Parser.Tactic.case'
Nat.mod_add_div'
Monotone.mul_const'
zpow_bit1'
Ordnode.Valid'.balance'
Finset.sorted_last_eq_max'
IntermediateField.exists_finset_of_mem_supr''
quasiIsoAt_iff'
Set.finite_diff_iUnion_Ioo'
Ring.zsmul_neg'
AlgebraicTopology.DoldKan.Γ₀.Obj.Termwise.mapMono_δ₀'
MeasureTheory.lintegral_sub_le'
mul_right_inj'
CategoryTheory.Localization.whiskeringLeftFunctor'
_private.Mathlib.RingTheory.OreLocalization.Basic.0.OreLocalization.mul'
EMetric.cauchySeq_iff'
ext_nat''
CategoryTheory.IsPullback.of_hasBinaryProduct'
MeasureTheory.norm_setToFun_le_mul_norm'
Qq.inferTypeQ'
MeasureTheory.Measure.bind_zero_right'
Pi.isScalarTower'
Finset.Ici_mul_Ici_subset'
OrderIso.map_bot'
CategoryTheory.Limits.Types.hasColimit'
List.bind_singleton'
Set.Ico_union_Ici'
intervalIntegral.integral_congr_ae'
norm_lt_of_mem_ball'
CategoryTheory.Abelian.OfCoimageImageComparisonIsIso.imageMonoFactorisation_e'
div_self_mul_self'
Ideal.isMaximal_comap_of_isIntegral_of_isMaximal'
Set.mapsTo'
MulChar.inv_apply_eq_inv'
Asymptotics.isLittleO_of_tendsto'
Equiv.subtypeEquivOfSubtype'
IsUnifLocDoublingMeasure.eventually_measure_le_scaling_constant_mul'
Pi.smul_apply'
Filter.eventually_atBot_prod_self'
Std.Tactic.SolveByElim.mkAssumptionSet.elab'
Computation.bind_pure'
intervalIntegral.measure_integral_sub_linear_isLittleO_of_tendsto_ae_of_le'
div_le_div''
Lean.Core.CoreM.run'
ProbabilityTheory.condexpKernel_ae_eq_condexp'
Finsupp.sum_ite_self_eq'
mem_span_set'
Cardinal.lift_mk_le'
Real.Lp_add_le_tsum_of_nonneg'
Submodule.torsion'
ZMod.cast_nat_cast'
SmoothBumpCovering.c_mem'
UpperSemicontinuousOn.add'
Metric.mem_sphere'
LocallyFinite.exists_forall_eventually_atTop_eventually_eq'
PerfectionMap.comp_equiv'
Multiset.filter_attach'
Nat.le_floor_iff'
Metric.continuousWithinAt_iff'
Submodule.comap_smul'
Asymptotics.isBigO_of_le'
MeasureTheory.lintegral_mul_const''
Seminorm.ball_finset_sup'
Matrix.trace_blockDiagonal'
Finset.aestronglyMeasurable_prod'
List.support_formPerm_le'
PreOpposite.op'
tendsto_fract_left'
Set.mulIndicator_inv'
LieSubmodule.Quotient.module'
GroupFilterBasis.conj'
inv_le_inv'
Multiset.noncommProd_cons'
IsLocalization.map_units'
CategoryTheory.Presieve.singleton'
Set.Ici_mul_Ici_subset'
Polynomial.natDegree_eq_card_roots'
LinearMap.toMatrixAlgEquiv_apply'
mul_inv_lt_iff_le_mul'
Cubic.of_c_eq_zero'
_private.Mathlib.Algebra.Module.GradedModule.0.DirectSum.Gmodule.mul_smul'
Option.some_orElse'
SimplexCategory.eq_comp_δ_of_not_surjective'
Pi.vaddAssocClass''
Ideal.IsPrime.ne_top'
padicNorm.sum_lt'
CompactExhaustion.iUnion_eq'
ContinuousLinearMap.extendTo𝕜'
CategoryTheory.SimplicialObject.δ_comp_σ_of_gt'
BoxIntegral.Box.mk'
Qq.Impl.floatExprAntiquot'
Complex.equivRealProd_apply_le'
NonUnitalSubring.mem_mk'
div_lt_div''
CategoryTheory.Tor'
Ordinal.lift.principalSeg_top'
Polynomial.add'
CharP.pi'
DirectedSystem.map_self'
mul_inv_lt_mul_inv_iff'
List.filter_eq'
_private.Mathlib.NumberTheory.Padics.PadicNumbers.0.Padic.lim'
nhdsWithin_Ici_eq''
min_div_div_right'
Polynomial.hermite_eq_deriv_gaussian'
Submodule.map_smul'
SubNegMonoid.zsmul_succ'
CircleDeg1Lift.translationNumber_conj_eq'
ProbabilityTheory.condCdf'_def'
_private.Mathlib.Analysis.InnerProductSpace.OfNorm.0.InnerProductSpaceable.innerProp'
LinearMap.trace_comp_comm'
isRegular_of_ne_zero'
Pi.uniformContinuous_precomp'
AlgEquiv.apply_smulCommClass'
uniqueDiffWithinAt_inter'
List.prod_lt_prod'
MeasureTheory.integrableOn_Ioi_comp_rpow_iff'
CategoryTheory.shift_neg_shift'
CategoryTheory.ShortComplex.LeftHomologyData.ofZeros_f'
succ_nsmul'
Filter.map_one'
ContractingWith.edist_efixedPoint_lt_top'
Set.Pairwise.mono'
mem_closedBall_iff_norm''
Rat.add_num_den'
Ordinal.zero_opow'
SNum.rec'
_private.Mathlib.Data.Real.Basic.0.Real.inv'
ComplexShape.instDecidableRelRelUp'
Pi.cstarRing'
MeasureTheory.integrableOn_Ioi_deriv_of_nonneg'
MeasureTheory.IsStoppingTime.measurableSpace_le'
OrderDual.instSMulCommClass''
TopologicalSpace.NonemptyCompacts.nonempty'
MeasureTheory.AEStronglyMeasurable.integral_prod_right'
polynomialFunctions_closure_eq_top'
MeasurableSpace.MeasurableSet'
AddFreimanHomClass.map_sum_eq_map_sum'
LinearMap.trace_prodMap'
mul_lt_iff_lt_one_right'
AlgEquiv.map_mul'
one_lt_inv'
inv_lt'
Polynomial.sum_over_range'
IsLocalization.toInvSubmonoid_eq_mk'
AddAction.right_quotientAction'
Module.basisOfFiniteTypeTorsionFree'
Matrix.ext'
PartialHomeomorph.trans_of_set'
isArtinian_of_fg_of_artinian'
ENNReal.tsum_eq_iSup_nat'
PreOpposite.unop'
MvFunctor.LiftR'
circleMap_mem_sphere'
Polynomial.cyclotomic_pos'
CategoryTheory.Tor'_map_app'
Nat.bitwise_bit'
CategoryTheory.MorphismProperty.LeftFraction.Y'
Semigroup.opposite_smulCommClass'
sub_eq_iff_eq_add'
rank_fun'
Filter.isScalarTower'
ComplexShape.prev_eq'
pi_norm_le_iff_of_nonneg'
Mathlib.Meta.Multiset.range_zero'
NormedSpace.exp_units_conj'
CategoryTheory.Limits.wideCoequalizer.desc'
Real.toNNReal_lt_nat_cast'
Nat.Ioc_eq_range'
Set.bijOn_of_subsingleton'
exists_lt_of_lt_csSup'
SmoothOn.comp'
CategoryTheory.Limits.HasLimit.mk'
lp.tsum_mul_le_mul_norm'
BumpCovering.locallyFinite'
RelEmbedding.map_rel_iff'
IsGLB.exists_between_self_add'
CategoryTheory.Presheaf.IsSheaf'
LinearEquiv.coe_toContinuousLinearEquiv'
Finset.insert_inj_on'
OrderDual.instVAddCommClass'
MeasureTheory.Content.sup_le'
LinearMap.toMatrix'_toLinearMapₛₗ₂'
Finset.smulCommClass_finset''
ContDiffAt.prod_map'
QuadraticForm.toMatrix'
EuclideanGeometry.inversion_mem_perpBisector_inversion_iff'
CategoryTheory.ShortComplex.HasRightHomology.mk'
toDual_smul'
AddAction.mem_fixedPoints'
AlgebraicTopology.DoldKan.map_hσ'
AddSubgroup.mem_normalizer_iff''
MvPFunctor.liftP_iff'
MeasureTheory.set_lintegral_tilted'
Multiset.prod_X_add_C_coeff'
Filter.coprodᵢ_neBot_iff'
Filter.Germ.instVAdd'
dist_convolution_le'
Finset.prod_Ico_add'
NonUnitalSubsemiring.coe_mk'
Monotone.map_sInf_of_continuousAt'
Set.iUnion_mono'
Matroid.dual_base_iff'
EquivFunctor.map_refl'
Asymptotics.isLittleO_const_mul_right_iff'
iter_deriv_pow'
CategoryTheory.Functor.Final.colimitIso'
IsIntegralClosure.mk'
Finset.prod_ite_eq'
Finset.mem_neg'
Pi.Lex.noMaxOrder'
ContMDiffMap.mdifferentiable'
ONote.NF.below_of_lt'
Subgroup.smul_opposite_image_mul_preimage'
MvPolynomial.coeff_X'
nhdsWithin_Ici_eq'
LinearMap.toMatrixRight'
Filter.iInf_neBot_of_directed'
toIocDiv_sub_eq_toIocDiv_add'
Real.rpow_lt_one_iff'
lt_of_mul_lt_mul_left'
MvPFunctor.M.corec'
Complex.cpow_int_mul'
Finset.isScalarTower'
Finset.sum_finset_product_right'
Pi.instBoundedSMul'
MeasureTheory.L1.SimpleFunc.setToL1SCLM_zero_left'
CategoryTheory.ShortComplex.hasHomology_of_preserves'
Measurable.const_smul'
Int.toNat'
Path.extend_extends'
MeasureTheory.Integrable.mono'
ContMDiffOn.comp'
HasLineDerivWithinAt.congr'
AddSubmonoid.LocalizationMap.symm_comp_ofAddEquivOfLocalizations_apply'
Nat.le_div_iff_mul_le'
CategoryTheory.Bifunctor.diagonal'
Units.exists0'
mul_div_cancel'
Matrix.toLin_eq_toLin'
ContinuousWithinAt.div'
MeasureTheory.Measure.ext_iff'
Set.eq_of_mem_uIoc_of_mem_uIoc'
Fin.prod_congr'
Metric.dist_le_diam_of_mem'
AddCommGroup.ModEq.sub_right_cancel'
ProbabilityTheory.kernel.map_apply'
Multiset.powersetAux'
Filter.monotone_lift'
toDual_vadd'
MeasureTheory.SimpleFunc.setToSimpleFunc_zero'
Ordinal.toPGame_moveLeft'
Sublattice.coe_inf'
HomologicalComplex.isoSc'
MeasureTheory.lpMeas.aeStronglyMeasurable'
norm_eq_zero''
Asymptotics.isBigO_fst_prod'
Set.fintypeBiUnion'
AddCommGroup.sub_modEq_iff_modEq_add'
MeasureTheory.Ico_ae_eq_Icc'
Polynomial.rootOfSplits'
MeasureTheory.L1.SimpleFunc.setToL1SCLM_smul_left'
cauchySeq_of_le_tendsto_0'
CategoryTheory.Discrete.eqToHom'
MeasureTheory.IsFundamentalDomain.integral_eq_tsum''
Polynomial.Monic.geom_sum'
CharTwo.neg_eq'
le_csInf_iff''
MvPFunctor.wDest'_wMk'
LinearPMap.closure_def'
Lean.MVarId.getType'
CentroidHom.map_mul_left'
div_div_div_cancel_right'
ZMod.algebra'
SubMulAction.smul'
Equiv.right_inv'
ContinuousOn.comp_fract''
EReal.coe_neg'
HomogeneousIdeal.is_homogeneous'
List.aemeasurable_prod'
hasFDerivWithinAt_pi'
IsLocalization.map_id_mk'
IsFractionRing.num_mul_den_eq_num_iff_eq'
le_add_tsub'
SMul.comp.smulCommClass'
pi_norm_const'
UniqueFactorizationMonoid.count_normalizedFactors_eq'
commProb_def'
TopCat.GlueData.mk'
CategoryTheory.ShortComplex.rightHomologyι_naturality'
Ordnode.balanceR'
Nat.le_sqrt'
le_mul_iff_one_le_left'
Submonoid.LocalizationMap.mk'
Set.iUnion₂_mono'
Finset.coe_sup'
BumpCovering.le_one'
LieSubmodule.mem_mk_iff'
Polynomial.eq_zero_of_natDegree_lt_card_of_eval_eq_zero'
iInf_subtype'
List.foldr_map'
nhds_left'_sup_nhds_right'
mul_lt_mul_right'
LocallyFiniteOrderBot.ofIic'
Lean.MVarId.getType''
le_of_forall_one_lt_lt_mul'
AlgebraicTopology.DoldKan.hσ'_eq'
Submonoid.LocalizationMap.surj'
CategoryTheory.pi'
SetTheory.PGame.moveLeft_neg'
ContinuousAt.sup'
continuous_norm'
LieSubmodule.Quotient.range_mk'
gramSchmidt_orthonormal'
CategoryTheory.IsPushout.of_is_bilimit'
HomologicalComplex.homotopyCofiber.inlX_d'
MeasureTheory.mem_lpMeas_iff_aeStronglyMeasurable'
Filter.le_lift'
Cubic.natDegree_of_a_ne_zero'
Filter.map_inf'
AddLocalization.r'
List.Pairwise.chain'
sub_eq_of_eq_add'
MeasureTheory.hasFiniteIntegral_congr'
TopologicalGroup.continuous_conj'
circleIntegral.integral_eq_zero_of_hasDerivWithinAt'
symmDiff_symmDiff_self'
Filter.eventuallyConst_pred'
List.map_sub_range'
LatticeOrderedGroup.neg_eq_zero_iff'
Submodule.mem_span_insert'
Equiv.forall_congr'
LinearMap.mkContinuous_norm_le'
nhds_left_sup_nhds_right'
Besicovitch.SatelliteConfig.inter'
BumpCovering.eventuallyEq_one'
List.infix_append'
Associates.map_subtype_coe_factors'
orderOf_eq_zero_iff'
exists_subset_nhds_of_isCompact'
iInf_sigma'
Tactic.NormNum.nat_gcd_helper_2'
PiTensorProduct.module'
finsuppTensorFinsupp'
Matrix.trace_mul_cycle'
Filter.tendsto_atBot_atBot_of_monotone'
AddMonoidHom.mk'
SeminormedAddGroup.ofAddDist'
List.length_sublists'
NonUnitalAlgHom.map_mul'
Finset.card_nsmul_le'
inv_mul_le_iff'
Bundle.TotalSpace.mk'
AlgHom.commutes'
contDiff_prod'
IsLocalization.mk'_eq_iff_eq'
Nat.choose_eq_asc_factorial_div_factorial'
Set.LeftInvOn.image_image'
Equiv.lawfulFunctor'
exists_associated_pow_of_mul_eq_pow'
Ioo_mem_nhdsWithin_Iio'
NormedAddGroupHom.mkNormedAddGroupHom_norm_le'
ContinuousMap.liftCover_restrict'
HasFiniteFPowerSeriesOnBall.eq_partialSum'
CategoryTheory.ShortComplex.isIso₂_of_shortExact_of_isIso₁₃'
iSup_prod'
MeasureTheory.mem_lpMeasSubgroup_iff_aeStronglyMeasurable'
MeasureTheory.AEStronglyMeasurable.convolution_integrand_swap_snd'
ConvexBody.nonempty'
SimpleGraph.Subgraph.degree_le'
MeasureTheory.integrable_of_forall_fin_meas_le'
Trivialization.ext'
norm_pos_iff''
CategoryTheory.Limits.isLimitForkMapOfIsLimit'
WeierstrassCurve.Affine.CoordinateRing.mk_XYIdeal'_mul_mk_XYIdeal'
QuotientAddGroup.mk'_eq_mk'
EllipticCurve.coe_inv_variableChange_Δ'
inf_le_left'
ContinuousLinearMap.integral_comp_comm'
Submodule.mem_orthogonal'
List.not_lt_minimum_of_mem'
_private.Lean.Compiler.IR.Format.0.Lean.IR.formatFnBodyHead'
Finset.image_mul_right'
FirstOrder.Language.addEmptyConstants_is_expansion_on'
SetTheory.PGame.Subsequent.mk_right'
MeasureTheory.IsAddFundamentalDomain.set_integral_eq_tsum'
FirstOrder.Language.Hom.map_fun'
Lean.Parser.Tactic.tacticRfl'
abs_le'
Option.bind_eq_some'
MeasureTheory.integral_Icc_eq_integral_Ioo'
Algebra.FinitePresentation.iff_quotient_mvPolynomial'
MonoidHom.map_finprod_mem'
Fin.isEmpty'
ModuleCat.homology'_ext'
Stream'.get_succ_iterate'
MultilinearMap.map_smul'
Set.isScalarTower''
CategoryTheory.ShortComplex.hasHomology_of_isIso_leftRightHomologyComparison'
Finset.vaddCommClass_finset''
Qq.Impl.mkLambda'
ContractingWith.edist_efixedPoint_le'
aemeasurable_id'
zpow_lt_zpow'
Ideal.quotientInfToPiQuotient_mk'
RingFilterBasis.mul_right'
pi_norm_lt_iff'
ContinuousLinearMap.op_norm_le_bound'
mul_inv_le_mul_inv_iff'
MulEquiv.inv'
Sylow.isPGroup'
Turing.PartrecToTM2.Cfg'
CommSemiRingCat.instCommSemiring'
nhds_def'
MeasureTheory.OuterMeasure.empty'
ApplicativeTransformation.preserves_seq'
ULift.smulWithZero'
AddMonoidAlgebra.lift_apply'
le_ciSup_iff'
Lean.Expr.withAppRev'
continuousWithinAt_inter'
OrderDual.instSMulCommClass'
finprod_emb_domain'
FirstOrder.Language.Theory.CompleteType.isMaximal'
mul_mul_invOf_self_cancel'
Turing.PartrecToTM2.K'
_private.Mathlib.Algebra.Module.LocalizedModule.0.LocalizedModule.add_comm'
RightOrdContinuous.map_sInf'
Fintype.card_subtype_eq'
le_sup_left'
CategoryTheory.Equivalence.cancel_unit_right_assoc'
MeasureTheory.mul_meas_ge_le_pow_snorm'
IsDedekindDomain.HeightOneSpectrum.algebraMap_adicCompletion'
Ordinal.sup_eq_bsup'
toIcoMod_zsmul_add'
WittVector.IsPoly₂.mk'
CategoryTheory.ComposableArrows.Exact.exact'
CategoryTheory.Arrow.isoMk'
Units.inv_mul'
IsROrC.hasSum_conj'
LinearMap.applyₗ'
ModelWithCorners.toFun'
Finsupp.smul_single'
Set.Infinite.preimage'
mul_le_of_le_one_right'
Polynomial.neg'
CategoryTheory.ShortComplex.LeftHomologyData.map_cyclesMap'
smul_closedBall'
CategoryTheory.SimplicialObject.δ_comp_σ_self'
Acc.list_chain'
BoxIntegral.TaggedPrepartition.IsSubordinate.mono'
_private.Lean.Compiler.LCNF.ToExpr.0.Lean.Expr.abstract'
CategoryTheory.Limits.PullbackCone.isLimitAux'
CategoryTheory.ShortComplex.LeftHomologyData.exact_iff_epi_f'
MeasureTheory.NullMeasurable.measurable'
Filter.le_limsup_of_frequently_le'
Submodule.finrank_add_finrank_orthogonal'
Valuation.map_add'
Nat.factorial_mul_ascFactorial'
Matrix.blockDiagonal'
MeasureTheory.integral_singleton'
CategoryTheory.ShortComplex.HasHomology.mk'
Metric.mem_ball'
PowerSeries.trunc_derivative'
toIocMod_zsmul_add'
not_bddAbove_iff'
Matrix.blockDiag'
MeasureTheory.snorm'_le_snorm'_mul_snorm'
NonUnitalSubring.neg_mem'
CategoryTheory.InitiallySmall.mk'
CategoryTheory.ShortComplex.hasRightHomology_of_preserves'
or_congr_left'
AddMonoidHom.toMultiplicative''
PartialHomeomorph.extend_coord_change_source_mem_nhdsWithin'
_private.Mathlib.Control.Functor.Multivariate.0.MvFunctor.g'
Ideal.homogeneousCore'
ContinuousMap.tendsto_iff_forall_compact_tendstoUniformlyOn'
MonotoneOn.mul'
CategoryTheory.Functor.final_of_comp_full_faithful'
UFModel.Models.parent_eq'
Basis.det_reindex'
ENNReal.nhds_top'
CategoryTheory.Limits.kernelSubobject_arrow'
MeasureTheory.integral_Ioi_of_hasDerivAt_of_nonpos'
MeasureTheory.stoppedProcess_eq'
_private.Mathlib.Tactic.Positivity.Core.0.Mathlib.Meta.Positivity.OrderRel.ne'
AddGroupFilterBasis.conj'
MeasureTheory.SigmaFinite.withDensity_of_ne_top'
List.alternatingProd_cons_cons'
Filter.Tendsto.inf_nhds'
Units.embedding_val_mk'
tsum_sigma'
tendsto_indicator_const_iff_forall_eventually'
FirstOrder.Language.DirectLimit.cg'
convolution_eq_right'
ConcaveOn.mul_convexOn'
Setoid.ker_apply_mk_out'
List.map_permutationsAux2'
mul_invOf_self'
measurableSet_lt'
summable_geometric_two'
AddSubmonoid.LocalizationMap.lift_mk'
Turing.TM1to1.Λ'
ContDiff.snd'
Std.Tactic.RCases.subst'
Finset.prod_eq_one_iff_of_one_le'
Bimod.LeftUnitorBimod.hom_right_act_hom'
Real.cosh_sq'
Std.RBNode.Ordered.zoom'
Filter.vaddAssocClass''
_private.Mathlib.RingTheory.Jacobson.0.Ideal.MvPolynomial.quotient_mk_comp_C_isIntegral_of_jacobson'
Filter.extraction_forall_of_eventually'
mul_lt_of_lt_one_of_lt'
FreeAddGroup.map.id'
Homotopy.map_nullHomotopicMap'
liftOfDerivationToSquareZero_mk_apply'
_private.Mathlib.MeasureTheory.Function.L2Space.0.MeasureTheory.L2.norm_sq_eq_inner'
_private.Lean.Elab.SyntheticMVars.0.Lean.Elab.Term.synthesizeUsingDefaultPrio.synthesizePendingInstMVar'
List.foldr_fixed'
MvFunctor.LiftP'
GaloisCoinsertion.isCoatom_iff'
EllipticCurve.ofJ'
PNat.dvd_iff'
LipschitzWith.of_le_add_mul'
Nat.div_lt_self'
Associates.count_mul_of_coprime'
Matrix.blockTriangular_transvection'
Con.ext'
TopologicalSpace.Opens.is_open'
PNat.find_min'
OreLocalization.expand'
eq_add_of_sub_eq'
Continuous.div'
Lists'
Metric.continuousOn_iff'
IsDedekindDomain.HeightOneSpectrum.IntValuation.map_one'
Aesop.CasesTarget'
PiTensorProduct.add_tprodCoeff'
padicValNat.div'
mul_lt_mul_left'
Polynomial.eval_smul'
add_right_cancel''
MulEquiv.toAdditive'
GeneralizedContinuedFraction.succ_nth_convergent'_eq_squashGCF_nth_convergent'
Nat.shiftLeft'
AlgHom.toAddMonoidHom'
Lean.Elab.Tactic.liftMetaTactic'
MeasureTheory.integral_countable'
LinearMap.toMatrix'_toLinearMap₂'
Asymptotics.isBigO_self_const_mul'
ProbabilityTheory.kernel.IndepSets.indep'
isLUB_inv'
Ideal.subset_union_prime'
MeasureTheory.ProgMeasurable.finset_sum'
DFinsupp.lhom_ext'
Std.HashMap.Imp.Buckets.WF.mk'
List.Perm.prod_eq'
LinearIsometry.norm_map'
Aesop.Rapp.runMetaM'
DenseInducing.extend_eq_at'
Complex.cos_two_mul'
Matrix.cons_val_zero'
MeasureTheory.norm_set_integral_le_of_norm_le_const_ae''
Function.Surjective.of_comp_iff'
CategoryTheory.Localization.Lifting.compLeft_iso'
Finsupp.antidiagonal'
PowerBasis.mem_span_pow'
min_mul_min_le_min_mul_mul'
Mathlib.Tactic.replace'
Nat.ofDigits_zmodeq'
MeasureTheory.Measure.count_singleton'
neg_lt_iff_pos_add'
UniformSpace.mk'
Lean.IR.findEnvDecl'
CategoryTheory.ArtinianObject.subobject_lt_wellFounded'
CocompactMap.cocompact_tendsto'
CategoryTheory.Functor.uncurry_obj_curry_obj_flip_flip'
Mathlib.Tactic.BicategoryCoherence.BicategoricalCoherence.tensorRight_hom'
HasCompactMulSupport.intro'
mem_maximals_iff_forall_lt_not_mem'
Matrix.blockTriangular_stdBasisMatrix'
Lists'.cons'
QuotientGroup.coe_mk'
IsExposed.eq_inter_halfspace'
CategoryTheory.Limits.prod.symmetry'
ContinuousWithinAt.nnnorm'
Equiv.bijOn'
Nat.odd_add'
Vector.sum_set'
ContinuedFraction.convergents_eq_convergents'
Filter.prod_lift'_lift'
HasDerivAt.complexToReal_fderiv'
RegularExpression.matches'
Finset.stronglyMeasurable_prod'
geom_sum_pos'
IsPathConnected.exists_path_through_family'
MeasureTheory.SimpleFunc.extend_comp_eq'
Multiset.powersetCard_coe'
inf_compl_eq_bot'
Std.Tactic.Ext.extCore'
CategoryTheory.HasPullbacksOfInclusions.hasPullbackInr'
Mathlib.Tactic.cases'
dist_eq_norm_div'
DiscreteTopology.orderTopology_of_pred_succ'
SetTheory.PGame.moveLeft_nim'
Submodule.smul_mem_span_smul'
Lean.Meta.repeat1'
ENNReal.toReal_le_add'
Cubic.of_d_eq_zero'
Polynomial.map_rootOfSplits'
simple_iff_isSimpleModule'
HasMFDerivWithinAt.mul'
Finset.smul_univ₀'
Finset.one_le_prod'
Submonoid.LocalizationMap.map_units'
IsLocalizedModule.mk'_cancel'
MeasureTheory.OuterMeasure.le_boundedBy'
Set.Iio_union_Ioo'
Ordnode.balanceL_eq_balance'
Asymptotics.isEquivalent_of_tendsto_one'
TypeVec.RelLast'
List.range_eq_range'
_private.Mathlib.Algebra.Order.Ring.WithTop.0.WithTop.distrib'
Lean.Compiler.LCNF.ppCode'
MultilinearMap.mkContinuous_norm_le'
Units.conj_pow'
WithBot.coe_sInf'
toIocMod_add_zsmul'
Nat.Partrec.Code.encode_lt_rfind'
IsLocalization.mk'_self''
FixedPoints.smulCommClass'
linearIndependent_algHom_toLinearMap'
Multiset.aemeasurable_prod'
subset_interior_add'
Rack.act'
NormedAddGroupHom.coe_mkNormedAddGroupHom'
Stream'
Turing.TM1to1.instInhabitedΛ'
Lean.Elab.Tactic.evalRefine'
Lean.Expr.getAppArgs'
Filter.lift_mono'
nhdsWithin_Iio_basis'
BilinForm.toMatrix'_toBilin'
MeasureTheory.Subsingleton.stronglyMeasurable'
Lean.Expr.isAppOf'
String.Iterator.ValidFor.setCurr'
TopologicalSpace.CompactOpens.isOpen'
WittVector.exists_eq_pow_p_mul'
Pi.Pi.lawfulFix'
MeasureTheory.L1.SimpleFunc.setToL1SCLM_mono_left'
AddEquiv.ofLeftInverse'
finSuccEquiv'
Pi.has_continuous_neg'
MonoidHom.map_mul'
Quotient.inductionOn₃'
Filter.HasBasis.cobounded_of_norm'
Ergodic.ae_empty_or_univ_of_image_ae_le'
BoxIntegral.Prepartition.mem_restrict'
Turing.PartrecToTM2.instDecidableEqK'
Algebra.discr_powerBasis_eq_prod'
Quiver.Path.comp_inj'
rank_submodule_le_one_iff'
LE.le.antisymm'
CategoryTheory.CostructuredArrow.homMk'
exists_unique_eq'
integrableOn_Icc_iff_integrableOn_Ioo'
mem_rootsOfUnity_prime_pow_mul_iff'
Std.Tactic.Omega.Constraint.combine_sat'
Function.Commute.iterate_pos_lt_of_map_lt'
Nat.digits_zero_succ'
hasFPowerSeriesAt_iff'
Algebra.FormallyUnramified.lift_unique'
Ideal.isMaximal_of_isIntegral_of_isMaximal_comap'
Function.Injective2.right'
Nat.equivProdNatSmoothNumbers_apply'
Matrix.zero_dotProduct'
Nat.primeCounting'
nhdsWithin_Iic_eq'
LinearPMap.mkSpanSingleton'
HasGradientAtFilter.hasDerivAtFilter'
Equiv.Perm.prod_comp'
ModuleCat.cycles'Map_toCycles'
Polynomial.isIntegrallyClosed_iff'
AEMeasurable.div'
Submodule.inhabited'
Real.rpow_add_one'
cauchy_map_iff'
Orientation.volumeForm_robust'
finprod_mem_union''
tendsto_const_mul_pow_nhds_iff'
CompleteLattice.independent_def''
ContinuousMap.coe_sup'
Multiset.prod_lt_prod'
exists_dual_vector'
Complex.UnitDisc.instSMulCommClass_circle'
div_eq_iff_eq_mul'
rank_tensorProduct'
Pi.addAction'
lt_iff_lt_of_le_iff_le'
exists_eq_right'
MeasureTheory.Measure.restrict_union_add_inter'
hasFTaylorSeriesUpTo_top_iff'
CategoryTheory.ShortComplex.SnakeInput.functorL₁'
Quiver.HasInvolutiveReverse.inv'
Nat.ArithmeticFunction.ppow_succ'
rank_matrix''
differentiable_id'
Nat.ModEq.cancel_right_div_gcd'
NonarchAddGroupSeminormClass.map_neg_eq_map'
Multiplicative.isometricVAdd''
add_rotate'
gauge_def'
DFinsupp.comapDomain'
Submonoid.LocalizationMap.mk'_eq_of_eq'
lt_of_lt_of_eq'
Finsupp.mulHom_ext'
Polynomial.mem_roots'
List.Perm.permutations'
map_compl'
MeasureTheory.pdf.eq_of_map_eq_withDensity'
Function.Injective2.left'
IsLocalizedModule.toLocalizedQuotient'
intermediate_value_Icc'
FreeAddSemigroup.traverse_pure'
FractionalIdeal.mul_def'
Nat.pow_mul'
quotientMap_quotient_mk'
ContinuousLinearMap.sub_apply'
Mathlib.Tactic.Coherence.exception'
ContinuousMap.instSMul'
deriv_neg''
Matrix.represents_iff'
PNat.XgcdType.mk'
Std.Tactic.Omega.Int.add_le_zero_iff_le_neg'
IntermediateField.exists_finset_of_mem_supr'
MvPolynomial.eval_eq'
ContinuousLinearMap.coe_sum'
Real.rpow_sub_int'
Membership.mem.ne_of_not_mem'
Filter.Tendsto.norm'
ContinuousMap.HomotopyWith.prop'
GCongr.prod_le_prod'
MeasureTheory.tendsto_sum_indicator_atTop_iff'
CategoryTheory.Quiv.str'
dist_norm_norm_le'
Finsupp.sum_smul_index_linearMap'
IsAddUnit.add_sub_cancel'
Continuous.finset_inf'
Nat.add_descFactorial_eq_ascFactorial'
AffineIsometryEquiv.linearIsometryEquiv_mk'
Complex.cos_sq'
tendsto_norm_zero'
MonotoneOn.mul_const'
Partrec.const'
LiouvilleNumber.remainder_lt'
MeasureTheory.AEStronglyMeasurable'
Equiv.Perm.IsCycleOn.exists_pow_eq'
mem_nhds_prod_iff'
ContDiffWithinAt.comp'
ciSup_mono'
List.sublists_eq_sublists'
tsum_prod'
Submonoid.eq_top_iff'
ZMod.cast_mul'
MeasureTheory.set_integral_dirac'
List.mapDiagM'
Matrix.induction_on'
RingEquiv.ofHomInv'
List.destutter'
MeasureTheory.set_lintegral_mono'
List.get?_set_of_lt'
SetTheory.PGame.Impartial.equiv_iff_add_equiv_zero'
Complex.exp'
Nat.sum_totient'
Module.End.smulCommClass'
LinearOrderedSemifield.zpow_zero'
IsLocalizedModule.mk'
UpperSemicontinuousWithinAt.add'
_private.Mathlib.Data.Real.Basic.0.Real.le_def'
IsLocalizedModule.mk'_sub_mk'
Ordinal.lift_id'
LowerSemicontinuousWithinAt.add'
Lean.Meta.mkHCongrWithArity'
Finset.Iic_mul_Iic_subset'
inv_div'
ne_of_ne_of_eq'
Set.star_inv'
MeasureTheory.L1.SimpleFunc.setToL1S_zero_left'
MeasurableSet.image_inclusion'
CategoryTheory.OplaxNatTrans.Modification.id_app'
Finset.vaddCommClass_finset'
Measurable.mul'
IsDedekindDomain.HeightOneSpectrum.int_valuation_ne_zero'
IsSelfAdjoint.conjugate'
Submonoid.LocalizationMap.sec_spec'
Nat.dist_tri_left'
Set.pi_eq_empty_iff'
LinearMap.trace_mul_cycle'
Derivation.leibniz'
continuous_nnnorm'
Function.mulSupport_one'
zpow_mul'
Polynomial.natDegree_eq_support_max'
Derivation.map_one_eq_zero'
InnerProductGeometry.norm_add_sq_eq_norm_sq_add_norm_sq'
Module.Flat.iff_rTensor_injective'
Lean.Elab.InfoTree.visitM'
OrderHom.monotone'
Algebra.discr_powerBasis_eq_prod''
Matrix.vec2_dotProduct'
CategoryTheory.Limits.colimit.pre_map'
antisymm_of'
Nat.even_sub'
Finset.preimage_mul_left_one'
LinearMap.det_zero''
HasLineDerivAt.le_of_lip'
one_add_mul_le_pow'
Fin.cycleRange_zero'
Filter.tendsto_inv₀_cobounded'
CategoryTheory.NormalMono.lift'
DilationClass.edist_eq'
Cubic.natDegree_of_b_eq_zero'
Lean.PrettyPrinter.Delaborator.SubExpr.withBindingBody'
Cardinal.sum_add_distrib'
List.nthLe_range'
StrictConvexOn.map_sum_eq_iff'
PartitionOfUnity.sum_le_one'
MeasureTheory.integral_Ioi_of_hasDerivAt_of_tendsto'
List.ofFn_mul'
intervalIntegral.integral_deriv_eq_sub'
CategoryTheory.Abelian.mono_of_epi_of_mono_of_mono'
Valuation.map_add_le_max'
MeasureTheory.L1.SimpleFunc.norm_setToL1SCLM_le'
MeasureTheory.exp_llr_of_ac'
IsHausdorff.haus'
Mathlib.Tactic.ComputeDegree.natDegree_eq_of_le_of_coeff_ne_zero'
sub_add_cancel'
Nat.factors_chain'
Continuous.quotient_map'
Nat.div_le_self'
instEstimatorDataProdNatMkUnitMkLevenshteinToAddZeroClassToAddMonoidToAddCommMonoidToOrderedAddCommMonoidToCanonicallyOrderedAddCommMonoidToMinLengthLevenshteinEstimator'
nndist_eq_nnnorm_vsub'
Pi.uniformContinuous_postcomp'
Subalgebra.algebra'
Orientation.inner_mul_areaForm_sub'
CategoryTheory.ShortComplex.leftHomologyπ_naturality'
frontier_closedBall'
ProbabilityTheory.eq_condKernel_of_measure_eq_compProd'
NNReal.lt_div_iff'
Finset.pairwise_subtype_iff_pairwise_finset'
CochainComplex.mappingCone.d_snd_v'
le_div_iff_of_neg'
ContinuousLinearMap.coe_zero'
HahnSeries.add_coeff'
List.prod_set'
tsum_eq_zero_add'
MeasureTheory.set_lintegral_dirac'
homology'.π'_desc'
LinearIsometry.isComplete_map_iff'
ONote.repr'
minpoly.isIntegrallyClosed_eq_field_fractions'
BiheytingHom.map_himp'
Turing.PartrecToTM2.push'
CategoryTheory.Limits.coprod.symmetry'
_private.Mathlib.RingTheory.Jacobson.0.Ideal.Polynomial.quotient_mk_comp_C_isIntegral_of_jacobson'
Basis.repr_eq_iff'
AddSubgroup.center_eq_infi'
LieModuleHom.map_lie'
CategoryTheory.Limits.Cotrident.IsColimit.mk'
CategoryTheory.CatCommSq.iso'
ContinuousMap.continuous_curry'
conjugate_le_conjugate'
csSup_le'
mul_le_mul_right'
Filter.vaddAssocClass'
TopCat.Presheaf.Pushforward.id_hom_app'
mul_le_mul_of_nonpos_of_nonpos'
Measurable.sub'
StrictMono.mul'
isGLB_inv'
Asymptotics.isBigO_const_mul_left_iff'
jacobiSym.mul_right'
IsAddGroupHom.neg_ker_zero'
GroupCat.SurjectiveOfEpiAuxs.h_apply_fromCoset'
CategoryTheory.Comonad.Coalgebra.Hom.ext'
IntervalIntegrable.mono_fun'
Nat.mul_add_mod'
Nat.cast_nonneg'
Cubic.natDegree_of_b_ne_zero'
Real.deriv_cos'
vadd_closedBall''
homology'.condition_π'
ContDiff.fst'
StrictMono.mul_monotone'
Asymptotics.isBigOWith_zero'
AEMeasurable.mono'
linearIndependent_iff'
CategoryTheory.Functor.punit_ext'
ULift.mulActionWithZero'
LinearMap.toMatrix_eq_toMatrix'
Lex.instSMul'
Lean.instMonadRecDepthStateRefT'
CategoryTheory.exists_zigzag'
Ideal.CompleteLattice.Independent.linear_independent'
Nat.dvd_sub'
_private.Mathlib.GroupTheory.FreeGroup.NielsenSchreier.0.IsFreeGroupoid.SpanningTree.root'
Set.preimage_add_right_zero'
NonUnitalStarSubalgebra.instSMulCommClass'
CategoryTheory.ShortComplex.HomologyData.map_homologyMap'
AddCircle.norm_eq'
Std.Tactic.dsimpLocation'
ENNReal.some_eq_coe'
Set.Quotient.range_mk''
MeasureTheory.SFinite.out'
Nat.exists_mul_self'
List.nthLe_drop'
Subalgebra.algebraMap_mem'
MeasureTheory.Measure.count_apply_lt_top'
toIocMod_neg'
MvPolynomial.induction_on'
CategoryTheory.Discrete.eqToIso'
PFunctor.M.ext'
Convex.norm_image_sub_le_of_norm_hasFDerivWithin_le'
List.sublistsLen_sublist_sublists'
csInf_le'
MeasureTheory.AECover.integrable_of_lintegral_nnnorm_bounded'
NonUnitalSubalgebra.instSMulCommClass'
HomologicalComplex.homotopyCofiber.desc_f'
ModuleCat.hasLimits'
MvPFunctor.wMk'
strictConcaveOn_of_deriv2_neg'
CategoryTheory.CosimplicialObject.δ_comp_δ''
HomologicalComplex.homotopyCofiber.ext_to_X'
SetLike.ext'
List.mem_destutter'
inv_lt_one'
div_eq_of_eq_mul''
PosNum.pred'
MeasureTheory.HasFiniteIntegral.mono'
Filter.Germ.coe_compTendsto'
Lean.Meta.Simp.addSimpTheorem'
Set.iUnion_prod'
Encodable.encode'
Real.exp_approx_end'
MeasureTheory.L1.SimpleFunc.setToL1S_add_left'
Polynomial.support_trinomial'
extChartAt_preimage_mem_nhds'
Fin.castSucc_ne_zero_iff'
FiniteDimensional.finrank_eq_rank'
CategoryTheory.ShortComplex.RightHomologyData.map_g'
IsBoundedBilinearMap.isBigO'
MeasureTheory.Measure.rnDeriv_add_right_of_mutuallySingular'
ConjAct.smulCommClass₀'
Finite.card_le_of_embedding'
schnirelmannDensity_congr'
CategoryTheory.Limits.preservesBinaryBiproductOfEpiBiprodComparison'
LipschitzWith.mul'
AddSubgroup.quotientEquivSumOfLE'
Xor'
solvableByRad.isSolvable'
mul_lt_of_lt_one_left'
Mathlib.Meta.NormNum.Result'
Mathlib.Tactic.Polyrith.Poly.add'
List.chain_succ_range'
ContinuousAt.prod_map'
CompactIccSpace.mk''
MvQPF.liftR_map_last'
ModuleCat.RestrictionCoextensionAdj.app'
Sigma.FaithfulVAdd'
PowerSeries.invOfUnit_eq'
toIocDiv_add_left'
List.destutter_cons'
SimpleGraph.Adj.ne'
GaussianFourier.norm_cexp_neg_mul_sq_add_mul_I'
Filter.mem_comap'
Nat.exists_coprime'
uniformContinuous_norm'
ContinuousOn.div'
Int.eq_one_or_neg_one_of_mul_eq_one'
StateRefT'
tendsto_norm_cobounded_atTop'
_private.Mathlib.RingTheory.WittVector.Basic.0.WittVector.ghostEquiv'
MulChar.ext'
CliffordAlgebra.EquivEven.Q'
QPF.recF_eq'
LinearMap.toMatrix_transpose_apply'
CategoryTheory.Subobject.inf_eq_map_pullback'
CategoryTheory.Limits.isLimitMapConeForkEquiv'
IsScalarTower.of_algebraMap_eq'
Monotone.map_iSup_of_continuousAt'
FiberBundle.chartedSpace'
AddMonoidAlgebra.support_gen_of_gen'
Stream'.instInhabitedStream'
Filter.atTop_basis'
dist_partial_sum'
Filter.Tendsto.div'
Finset.insert_val'
exists_eq_ciSup_of_not_isSuccLimit'
CategoryTheory.ShortComplex.HomologyData.exact_iff'
Module.IsReflexive.bijective_dual_eval'
ContinuousWithinAt.preimage_mem_nhdsWithin''
LinearMap.stdBasis_apply'
UniformSpace.Core.mk'
List.enumFrom_cons'
Set.Iio_union_Ico'
Submodule.iSup_induction'
Cardinal.lift_id'
ContinuousLinearMap.coe_sub'
deriv_inv'
Lean.MVarId.changeLocalDecl'
WithTop.mul_lt_top'
IsLocalization.map_mk'
nhdsWithin_extChartAt_target_eq'
Filter.vaddCommClass_filter''
Ordnode.Sized.eq_node'
extChartAt_source_mem_nhds'
jacobiSym.mod_left'
mem_skewAdjointMatricesSubmodule'
Polynomial.lt_rootMultiplicity_iff_isRoot_iterate_derivative_of_mem_nonZeroDivisors'
IsUpperSet.thickening'
Real.le_arcsin_iff_sin_le'
Antitone.const_mul'
MeasureTheory.Subsingleton.aestronglyMeasurable'
LucasLehmer.norm_num_ext.sMod'
_private.Mathlib.Algebra.RingQuot.0.RingQuot.star'
CategoryTheory.ExactPairing.evaluation_coevaluation'
Nat.rfind_min'
Finsupp.mul_prod_erase'
Summable.sigma'
toIcoMod_sub'
Real.nndist_eq'
Algebra.ofModule'
LinearMap.toMatrixAlgEquiv_transpose_apply'
EStateM.run'
CompleteLattice.inf_continuous'
inv_eq_one_divp'
Subgroup.map_le_map_iff'
Ideal.span_mul_span'
pow_right_strictMono'
AddAction.selfEquivSigmaOrbitsQuotientStabilizer'
Lean.IR.containsDecl'
Filter.mem_map'
ENNReal.add_biSup'
IsLocalizedModule.iso_symm_apply'
Computation.results_of_terminates'
AddUnits.embedding_val_mk'
CategoryTheory.CosimplicialObject.δ_comp_δ'
tendsto_birkhoffAverage_apply_sub_birkhoffAverage'
deriv_zpow'
StateRefT'.instAlternativeStateRefT'
SimplicialObject.Splitting.ofIso_isColimit'
_private.Mathlib.SetTheory.Cardinal.Basic.0.Cardinal.mul_comm'
toIocDiv_sub'
WeakBilin.instModule'
StarAlgEquiv.map_star'
StructureGroupoid.LocalInvariantProp.right_invariance'
SmoothBumpCovering.locallyFinite'
QuasiIso'
OrderDual.instModule'
Nat.ModEq.mul_left_cancel'
MonoidAlgebra.algHom_ext'
Finset.prod_le_prod_of_subset'
Nat.bit_add'
BilinForm.Nondegenerate.toMatrix'
mul_le_iff_le_one_right'
Pi.has_continuous_inv'
intervalIntegral.integral_comp_mul_deriv'''
LE.le.lt_of_ne'
MeasureTheory.extend_mono'
WithTop.isLUB_sSup'
Filter.tendsto_lift'
GroupFilterBasis.one'
Quotient.hrecOn'_mk''
Algebra.TensorProduct.basis_repr_symm_apply'
smoothAt_finset_sum'
Polynomial.IsSeparableContraction.dvd_degree'
TopologicalSpace.Opens.map_id_obj'
zsmul_neg'
_private.Mathlib.RingTheory.HahnSeries.0.HahnSeries.mul_assoc'
Cubic.degree_of_a_eq_zero'
Module.Finite.exists_fin'
sdiff_le_iff'
pi_norm_const_le'
Array.mapIdx_induction'
List.map_permutations'
Metric.diam_union'
Pretrivialization.mk_proj_snd'
UniformEquicontinuous.closure'
AntilipschitzWith.le_mul_norm'
ContDiffWithinAt.prod_map'
CategoryTheory.yoneda'
AlgebraicGeometry.Proj.stalkIso'
Unique.mk'
decide_False'
Multiset.quot_mk_to_coe''
ProbabilityTheory.kernel.finset_sum_apply'
FreeSemigroup.traverse_mul'
Finset.prod_le_one'
sum_add_tsum_nat_add'
div_le_iff_of_neg'
continuous_quotient_mk'
List.toPArray'
LinearMap.apply_smulCommClass'
mul_lt_of_lt_one_of_le'
divp_assoc'
Localization.Away.mk_eq_monoidOf_mk'
CategoryTheory.ShortComplex.ShortExact.δ_eq'
CategoryTheory.Functor.commShiftIso_add'
Finset.prod_range_succ'
CategoryTheory.Limits.HasZeroObject.zero'
ext_nat'
BoundedLatticeHom.coe_comp_sup_hom'
Profinite.NobelingProof.Linear_CC'
Float.toRatParts'
ProbabilityTheory.monotone_condCdf'
em'
Polynomial.natDegree_prod'
Bool.not_inj'
le_map_add_map_sub'
MonoidHom.ker_transferSylow_isComplement'
PNat.coe_toPNat'
BoundedOrderHom.map_top'
NormedSpace.expSeries_apply_eq'
MvFunctor.id_map'
Multiset.map_filter'
OrderRingIso.map_le_map_iff'
Con.lift_comp_mk'
CategoryTheory.ShortComplex.RightHomologyData.ofEpiOfIsIsoOfMono_g'
Set.surjOn_of_subsingleton'
Bool.eq_false_of_not_eq_true'
iSup_eq_iSup_finset'
Filter.map_neg'
IsLocalization.mk'_spec'
Pretrivialization.proj_symm_apply'
FunctionField.InftyValuation.map_zero'
Pi.isometricSMul'
CategoryTheory.IsReflexivePair.mk'
Filter.comap_id'
TensorProduct.lift.tmul'
IsScalarTower.to_smulCommClass'
finsum_mem_union_inter'
isNoetherian_pi'
Function.minimalPeriod_iterate_eq_div_gcd'
Lean.Meta.MetaM.run'
MeasureTheory.IsStoppingTime.measurableSet_eq'
MeasureTheory.lintegral_mono'
BiheytingHom.map_sdiff'
CategoryTheory.Functorial.map_id'
PowerBasis.exists_eq_aeval'
Localization.liftOn_mk'
LinearPMap.mem_graph_snd_inj'
birkhoffSum_one'
List.tendsto_insertNth'
Quotient.map₂'_mk''
Function.extend_apply'
CategoryTheory.MorphismProperty.RightFraction.X'
ENNReal.iInf_mul_right'
MeasureTheory.StronglyMeasurable.integral_kernel_prod_right''
SubMulAction.smul_mem_iff'
AddAction.mem_stabilizer_finset'
le_of_le_of_eq'
Profinite.NobelingProof.Products.eval_πs_image'
Filter.Germ.const_compTendsto'
CategoryTheory.ShortComplex.mono_homologyMap_of_mono_opcyclesMap'
CategoryTheory.NatIso.pi'
csSup_mem_of_not_isSuccLimit'
Disjoint.inf_left'
DenseRange.separableSpace'
map_sdiff'
MonoidWithZeroHom.map_one'
sub_lt_iff_lt_add'
LaurentPolynomial.induction_on'
Pi.nnnorm_def'
Asymptotics.IsBigOWith.const_mul_right'
GroupTopology.continuous_mul'
ClosureOperator.le_closure'
AlgebraicGeometry.PresheafedSpace.GlueData.opensImagePreimageMap_app'
CategoryTheory.NatIso.naturality_2'
Asymptotics.isTheta_of_norm_eventuallyEq'
ADEInequality.admissible_D'
List.stronglyMeasurable_sum'
CharP.natCast_eq_natCast'
Filter.tendsto_atTop_add_nonneg_left'
StructureGroupoid.symm'
Function.Injective.ne_iff'
TopCat.openEmbedding_iff_isIso_comp'
Nat.Partrec.Code.rec_prim'
UniqueMDiffOn.image_denseRange'
ProbabilityTheory.kernel.snd_apply'
MeasureTheory.SimpleFunc.setToSimpleFunc_mono_left'
MeasureTheory.L1.norm_setToL1_le'
Nat.ModEq.add_left_cancel'
CategoryTheory.ShortComplex.quasiIso_iff_of_zeros'
CategoryTheory.instIsIsoOpcyclesPreadditiveHasZeroMorphismsToPreadditiveNatDownToAddRightCancelSemigroupToAddRightCancelMonoidToAddCancelMonoidToCancelAddCommMonoidToOrderedCancelAddCommMonoidStrictOrderedSemiringToOneCanonicallyOrderedCommSemiringObjHomologicalComplexPreadditiveHasZeroMorphismsToPreadditiveToQuiverToCategoryStructInstCategoryHomologicalComplexHomologicalComplexToQuiverToCategoryStructInstCategoryHomologicalComplexToPrefunctorMapHomologicalComplexComplexHasZeroObjectOfNatInstOfNatNatHasHomologyCategoryWithHomology_of_abelianScObjToQuiverToCategoryStructToQuiverToCategoryStructToPrefunctorFromLeftDerivedZero'
Nat.count_add'
LocallyFinite.continuous'
String.Iterator.ValidFor.toEnd'
algebraicIndependent_equiv'
Or.by_cases'
Filter.hasBasis_cobounded_norm'
HomologicalComplex.homotopyCofiber.ext_from_X'
ModuleCat.restrictScalarsComp'
CategoryTheory.Monad.right_unit'
Complex.sin_eq_tsum'
Equiv.prod_comp'
Profinite.NobelingProof.Products.max_eq_o_cons_tail'
Nat.even_add'
gcd_one_right'
Num.ofZNum'
Mathlib.Tactic.Propose.propose'
LinearMap.toMatrix_apply'
MeasureTheory.HasPDF.congr'
_private.Init.Dynamic.0.TypeName.mk'
Filter.Tendsto.IccExtend'
Finset.Nonempty.cInf_eq_min'
le_mul_iff_one_le_right'
CategoryTheory.Limits.Types.Colimit.w_apply'
Units.isScalarTower'
CategoryTheory.MorphismProperty.Q'
HasOrthogonalProjection.map_linearIsometryEquiv'
EReal.nhds_bot'
iInf_eq_iInf_finset'
List.lookmap_id'
Field.zpow_neg'
AnalyticOn.eval_continuousLinearMap'
ConvexBody.coe_smul'
ContinuousMap.liftCover'
cmp_mul_right'
MeasureTheory.MeasurePreserving.integral_comp'
Pi.OmegaCompletePartialOrder.flip₁_continuous'
linearIndependent_equiv'
Multiset.Nat.antidiagonal_succ_succ'
List.reverse_range'
Finset.decidableForallOfDecidableSSubsets'
LinearMap.dualMap_apply'
Nat.pow_sub_lt_descFactorial'
inner_map_polarization'
Quotient.recOnSubsingleton'
Prod.isometricSMul'
PowerSeries.derivative_inv'
List.append_inj_left'
CategoryTheory.ShortComplex.isIso_cyclesMap_of_isIso_of_mono'
TypeVec.toSubtype'
UniqueDiffWithinAt.inter'
Submodule.eq_top_iff'
contMDiffAt_finset_sum'
CategoryTheory.Abelian.Pseudoelement.zero_eq_zero'
CategoryTheory.MorphismProperty.RightFraction.ofHom_X'
List.nthLe_ofFn'
Int.negSucc_eq'
NNReal.div_lt_iff'
ContinuousAt.fst''
Matrix.exp_blockDiagonal'
homology'.π'
Finset.prod_product'
MeasureTheory.StronglyMeasurable.integral_kernel_prod_left'
extChartAt_source_mem_nhdsWithin'
le_of_eq_of_le'
MeasureTheory.lmarginal_erase'
Cubic.degree_of_c_ne_zero'
Pretrivialization.coe_fst'
Semiquot.blur_eq_blur'
FirstOrder.Language.Embedding.map_fun'
CanonicallyLinearOrderedSemifield.zpow_zero'
Real.coe_fib_eq'
Nat.even_or_odd'
measurable_quotient_mk'
Filter.mem_iInf'
charP_of_injective_algebraMap'
GaussianInt.toComplex_def'
_private.Lean.Elab.Structure.0.Lean.Elab.Command.levelMVarToParam.levelMVarToParam'
NonUnitalAlgebra.adjoin_induction'
MeasureTheory.VectorMeasure.ext_iff'
NeZero.of_gt'
QuotientGroup.lift_mk'
Polynomial.int_coeff_of_cyclotomic'
rank_matrix'
MeasureTheory.Measure.restrict_restrict'
CategoryTheory.Limits.PushoutCocone.isColimitAux'
RatFunc.liftRingHom_apply_div'
ENNReal.exists_pos_sum_of_countable'
Bimod.RightUnitorBimod.hom_right_act_hom'
StrictAnti.const_mul'
ModuleCat.CoextendScalars.smul_apply'
pi_nnnorm_le_iff'
Ordinal.enum_le_enum'
div_lt_iff_lt_mul'
Matrix.toBilin'_apply'
pcontinuous_iff'
AddSubgroup.closure_induction'
Ordnode.Valid'
CategoryTheory.Limits.Concrete.widePullback_ext'
Set.eq_of_nonempty_of_subsingleton'
Cubic.leadingCoeff_of_b_ne_zero'
_regBuiltin.Lean.Elab.Tactic.evalCase'
Decidable.not_and'
Finset.prodMk_inf'_inf'
Multiset.measurable_sum'
toIocMod_add_left'
MeasureTheory.condexpInd_smul'
Finset.sum_range_sub'
Ordinal.lift_umax'
Filter.const_eventuallyEq'
CategoryTheory.Limits.HasStrongEpiMonoFactorisations.mk'
Mathlib.Tactic.Zify.applySimpResultToProp'
Filter.tendsto_atTop_add_left_of_le'
MulEquiv.ofLeftInverse'
AntitoneOn.mul_const'
LinearOrderedAddCommGroupWithTop.zsmul_neg'
tsum_le_of_sum_le'
OpenSubgroup.isOpen'
Real.surjOn_logb'
WittVector.RecursionMain.succNthVal_spec'
Finset.decidableMem'
mem_ball_iff_norm'''
deriv_id''
Mon_.id_hom'
QuadraticForm.exists_companion'
AddMagma.FreeAddSemigroup.lift_comp_of'
WithTop.untop_one'
finprod_mem_insert'
Int.natAbs_mul_self'
Filter.Tendsto.op_one_isBoundedUnder_le'
ONote.split'
mul_lt_of_le_one_of_lt'
SetTheory.PGame.ofLists_moveLeft'
AbsoluteValue.eq_zero'
Quotient.eq'
MeasureTheory.Lp.norm_const'
padicNormE.nonarchimedean'
IntermediateField.normalClosure_def''
Lean.Expr.getArg!'
Real.inner_le_Lp_mul_Lq_tsum_of_nonneg'
Filter.mem_nhds_iff'
mul_lt_mul''
PerfectionMap.comp_symm_equiv'
le_sup_right'
OreLocalization.oreDivMulChar'
Filter.nhds_eq'
RelIso.map_rel_iff'
Nat.sub_eq_iff_eq_add'
Polynomial.Monic.natDegree_mul'
Nat.add_lt_of_lt_sub'
zpow_lt_zpow_iff'
Finset.prod_le_prod_fiberwise_of_prod_fiber_le_one'
Orientation.rightAngleRotation_map'
Cubic.leadingCoeff_of_a_ne_zero'
Num.ofNat'
Real.cos_sq'
AffineIsometryEquiv.coe_vaddConst'
CategoryTheory.Functor.splitMonoBiproductComparison'
_private.Mathlib.Lean.Meta.0.Lean.Elab.Tactic.TacticM.runCore'
Polynomial.leadingCoeff_sub_of_degree_lt'
CategoryTheory.ShortComplex.HomologyData.ofEpiOfIsIsoOfMono'
TypeVec.appendFun_comp'
Filter.Germ.distribMulAction'
Filter.liminf_le_of_frequently_le'
OrderIso.isGLB_preimage'
Matroid.Basis'
CategoryTheory.SimplicialObject.δ_comp_δ''
List.sum_set'
Orientation.inner_mul_inner_add_areaForm_mul_areaForm'
gramSchmidtNormed_unit_length'
LinearIsometry.map_orthogonalProjection'
lt_mul_of_one_lt_of_lt'
MeasureTheory.Integrable.simpleFunc_mul'
Cubic.degree_of_a_ne_zero'
LinearMap.mul_apply'
div_div_cancel'
Asymptotics.IsBigO.of_bound'
AddFreimanHom.map_sum_eq_map_sum'
Filter.HasBasis.to_hasBasis'
SMulCommClass.rat'
CategoryTheory.NormalEpi.desc'
CategoryTheory.Limits.colimMap_epi'
MeasureTheory.IsStoppingTime.measurableSet_eq_of_countable'
CategoryTheory.createsLimitOfFullyFaithfulOfIso'
FirstOrder.Language.DirectLimit.lift_quotient_mk'_sigma_mk'
PosNum.cast_sub'
ENNReal.top_mul'
CategoryTheory.Limits.biproduct.hom_ext'
Functor.Const.mk'
PFunctor.M.isPath_cons'
Monoid.PushoutI.NormalWord.base_smul_def'
InfHom.withTop'
MeasureTheory.lintegral_singleton'
CompositionSeries.step'
Right.add_neg'
MeasureTheory.lintegral_const_mul''
Submonoid.LocalizationMap.exists_of_sec_mk'
Icc_mem_nhdsWithin_Iic'
Mathlib.Tactic.LibrarySearch.apply?'
Equiv.forall₂_congr'
AddHom.prod_map_comap_prod'
add_le_mul'
AlgHom.toMonoidHom'
nhdsWithin_Iio_self_neBot'
derivWithin_inv'
QuadraticForm.equivalent_weightedSumSquares_units_of_nondegenerate'
add_div'
CategoryTheory.StrongMono.mk'
Symmetric.forall_existsUnique_iff'
pow_le_pow_right'
CategoryTheory.Functor.ι_biproductComparison'
le_mul_of_one_le_left'
Aesop.CasesTarget.toCasesTarget'
Units.coe_map'
CuspForm.holo'
AffineSubspace.vadd_mem_mk'
Finset.abs_sum_of_nonneg'
le_iff_forall_one_lt_lt_mul'
CategoryTheory.isLocallySurjective_iff_imagePresheaf_sheafify_eq_top'
ContinuousLinearMap.coe_fst'
Option.none_orElse'
smul_ball''
TopologicalSpace.Clopens.isClopen'
ENNReal.mul_top'
HahnSeries.sub_coeff'
ConvexOn.le_right_of_left_le'
Polynomial.algHom_ext'
ContinuousMap.liftCover_coe'
midpoint_eq_iff'
Cardinal.lift_iSup_le_lift_iSup'
MeasureTheory.weightedSMul_union'
Std.Tactic.Omega.Constraint.sat'
mul_left_cancel''
CategoryTheory.ShortComplex.leftRightHomologyComparison'
LinearMap.map_smul'
Lean.addDocString'
isAdjointPair_toLinearMap₂'
ConvexOn.le_right_of_left_le''
image_norm_le_of_norm_deriv_right_lt_deriv_boundary'
div_le_div_right'
Tuple.antitone_pair_of_not_sorted'
finsum_pos'
MeasureTheory.Integrable.comp_mul_right'
add_neg'
ProbabilityTheory.kernel.swapLeft_apply'
UniformSpace.Completion.coe'
List.prod_le_prod'
CommMon_.comp'
Ordinal.type_le_iff'
Cubic.natDegree_of_c_eq_zero'
QuotientGroup.completeSpace'
neg_lt_sub_iff_lt_add'
Cardinal.ord_card_unbounded'
Metric.cthickening_eq_iInter_cthickening'
Units.mul_inv'
MultilinearMap.map_add'
FiniteDimensional.finrank_linear_map'
Relation.ReflTransGen.lift'
Multiset.aemeasurable_sum'
List.map_id'
Fintype.sum_prod_type'
PreconnectedSpace.induction₂'
Asymptotics.IsLittleO.const_mul_right'
Nat.ascFactorial_eq_div'
Submodule.Quotient.instSMul'
FreeMagma.lift_comp_of'
DifferentiableAt.inv'
Mathlib.Tactic.RewriteSearch.SearchNode.mk'
MeasureTheory.ae_eq_of_forall_set_integral_eq_of_sigmaFinite'
CategoryTheory.ShortComplex.RightHomologyData.unop_f'
toIocMod_add_right'
TopologicalSpace.OpenNhdsOf.mem'
SubMulAction.isScalarTower'
MonoidAlgebra.lift_apply'
Multiset.map_id'
contMDiffOn_finset_prod'
LinearIsometryEquiv.comp_hasFDerivAt_iff'
ClassGroup.exists_mem_finset_approx'
List.Chain.imp'
LinearMap.trace_eq_sum_trace_restrict'
Antitone.mul_strictAnti'
UpperSemicontinuous.add'
map_extChartAt_symm_nhdsWithin_range'
MeasureTheory.Memℒp.mono'
Finsupp.mapDomain_apply'
AddGroup.int_smulCommClass'
LinearIndependent.cardinal_le_rank'
AddSubgroup.disjoint_def'
Set.preimage_mul_right_one'
CategoryTheory.Arrow.iso_w'
CategoryTheory.Abelian.Pseudoelement.zero_morphism_ext'
Matrix.dotProduct_diagonal'
ENNReal.iInf_mul_left'
affineSpan_induction'
GroupWithZero.zpow_neg'
IsPrimitiveRoot.zmodEquivZPowers_symm_apply_pow'
Ordinal.IsNormal.le_set'
ContinuousOn.if'
FreeMagma.traverse_mul'
Algebra.TensorProduct.intCast_def'
AddCon.mk'
Polynomial.SplittingField.algebra'
Finset.decidableExistsOfDecidableSubsets'
Finset.sum_fiberwise'
smul_left_injective'
ConvexBody.convex'
Matrix.PosDef.toQuadraticForm'
Std.Tactic.elabNoMatch'
ContinuousLinearMap.coeFn_compLp'
Finset.prod_lt_one'
NonUnitalSubalgebra.smul_mem'
Quotient.liftOn'
CategoryTheory.yonedaEquiv_comp'
Rat.mul_num_den'
_private.Mathlib.FieldTheory.RatFunc.0.RatFunc.num_div'
cauchy_pi_iff'
Inducing.isClosed_iff'
Topology.WithScott.isOpen_iff_isUpperSet_and_scottHausdorff_open'
Rat.normalize_num_den'
Tuple.proj_equiv₁'
MeasureTheory.ae_of_forall_measure_lt_top_ae_restrict'
List.aestronglyMeasurable_prod'
SetTheory.PGame.ListShort.cons'
Rat.le_def'
_regBuiltin.Lean.Parser.Term.forInMacro'
Lean.withTraceNode'
Set.ordConnected_pi'
Behrend.bound_aux'
nnnorm_le_nnnorm_add_nnnorm_sub'
compl_sSup'
Algebra.smul_def'
Module.Dual.eq_of_preReflection_mapsTo'
hasDerivAt_exp_smul_const'
Countable.exists_injective_nat'
Behrend.map_succ'
HasFDerivAt.le_of_lip'
Quotient.exact'
nhds_one_symm'
and_assoc'
exists_seq_strictMono_tendsto'
Submodule.pow_induction_on_left'
ContinuousMultilinearMap.normedSpace'
Turing.PointedMap.map_pt'
Mathlib.Tactic.ComputeDegree.coeff_pow_of_natDegree_le_of_eq_ite'
Option.map_none'
lt_of_le_of_ne'
Finset.aemeasurable_prod'
finsum_smul'
Submonoid.LocalizationMap.mul_mk'_one_eq_mk'
padicNormE.image'
Std.Tactic.RCases.RCasesPatt.tuple'
mem_closure_iff_nhds_basis'
fderivWithin_mul'
frontier_sphere'
ConvexOn.lt_left_of_right_lt'
MonoidAlgebra.support_gen_of_gen'
ZMod.val_one'
instLawfulMonadStateRefT'InstMonadStateRefT'
CategoryTheory.ShortComplex.SnakeInput.L₀'
AnalyticOn.comp'
PFunctor.M.head_eq_head'
finRotate_last'
Finite.Set.finite_biUnion''
WellFounded.list_chain'
ZMod.neg_val'
Polynomial.isUnitTrinomial_iff'
MeasureTheory.lintegral_countable'
HasSSubset.SSubset.ne'
CategoryTheory.Limits.BinaryCofan.IsColimit.desc'
PartENat.toWithTop_top'
DirectSum.ringHom_ext'
Ordinal.bsup_eq_sup'
SimpleGraph.mk'
Real.arcsin_le_iff_le_sin'
FractionalIdeal.coeIdeal_eq_zero'
zpow_eq_zpow_iff'
smul_inv''
MonadFinally.tryFinally'
Partrec₂.unpaired'
AddHom.map_add'
birkhoffAverage_one'
MeasureTheory.IsStoppingTime.measurableSet_eq_of_countable_range'
GeneralizedContinuedFraction.convergents_eq_convergents'
CategoryTheory.Abelian.isLimitImage'
linearIndependent_le_span'
MeasureTheory.withDensity_apply'
Mon_.comp_hom'
ContinuousAt.finset_sup'
ComplexShape.instDecidableRelRelDown'
Nat.ascFactorial_eq_factorial_mul_choose'
Equiv.forall₃_congr'
Polynomial.leadingCoeff_prod'
Mathlib.Tactic.BicategoryCoherence.BicategoricalCoherence.assoc'_hom'
AddMonoidHom.map_zsmul'
Std.RBNode.isOrdered_iff'
fderivWithin_congr'
Mathlib.Meta.Finset.range_zero'
Finset.toDual_min'
ConcaveOn.left_lt_of_lt_right'
Filter.mem_lift'
one_lt_mul_of_le_of_lt'
HahnSeries.isPWO_support'
ContinuousMap.continuous_comp'
Multiset.powerset_coe'
Submodule.toLocalizedQuotient'
CategoryTheory.StrongEpi.mk'
mul_div_cancel_of_imp'
CategoryTheory.NonPreadditiveAbelian.neg_sub'
CategoryTheory.Limits.Multicofork.ofSigmaCofork_ι_app_right'
IsometryEquiv.comp_continuous_iff'
deriv_neg'
isAdjointPair_toBilin'
CategoryTheory.Limits.KernelFork.IsLimit.lift'
padicValNat_choose'
MeasureTheory.set_lintegral_withDensity_eq_set_lintegral_mul_non_measurable₀'
ContT.uliftable'
Std.HashMap.Imp.WF.empty'
Prod.map_fst'
Fintype.prod_prod_type_right'
OrderDual.instVAddCommClass''
LinearMap.toMatrixAlgEquiv'_toLinAlgEquiv'
Measurable.lintegral_kernel_prod_left'
MulAction.mem_stabilizer_finset'
Nat.eq_sqrt'
Finset.mem_range_iff_mem_finset_range_of_mod_eq'
CategoryTheory.MonoOver.mk'_coe'
Polynomial.rootSet_maps_to'
ProbabilityTheory.cgf_zero'
LawfulBitraversable.bitraverse_eq_bimap_id'
measurable_of_tendsto_ennreal'
Subsemiring.closure_induction'
Concept.ext'
MeasureTheory.Lp.tendsto_Lp_iff_tendsto_ℒp'
QuadraticForm.associated'
Finset.prod_comm'
Homeomorph.comp_continuous_iff'
cauchy_iInf_uniformSpace'
CategoryTheory.ShortComplex.LeftHomologyData.IsPreservedBy.hf'
MeasureTheory.IsAddFundamentalDomain.integral_eq_tsum'
MeasureTheory.AEStronglyMeasurable.convolution_integrand_snd'
MeasureTheory.Measure.count_apply_finite'
Rat.num_den'
_private.Mathlib.SetTheory.Cardinal.Basic.0.Cardinal.add_le_add'
CategoryTheory.shiftZero'
ENNReal.tsum_sigma'
localCohomology.moduleCat_enoughProjectives'
LinearMap.extendTo𝕜'
Multiset.noncommSum_cons'
Filter.tendsto_atTop_add_right_of_le'
AddMonoidHom.mkNormedAddGroupHom_norm_le'
conformalFactorAt_inner_eq_mul_inner'
WeakDual.instModule'
OrderedCommGroup.mul_lt_mul_left'
Polynomial.support_C_mul_X'
Primrec.nat_rec'
Polynomial.SplittingFieldAux.algebra''
measurable_update'
continuousAt_const_cpow'
AddMonoidHom.prod_map_comap_prod'
Profinite.NobelingProof.C'
Tuple.bubble_sort_induction'
ContinuousOn.exists_isMaxOn'
Filter.comap_eval_neBot_iff'
ContractibleSpace.hequiv_unit'
CategoryTheory.Limits.Pi.map'
Complex.cpow_nat_mul'
exists_maximal_independent'
pow_le_pow_of_le_left'
GradedTensorProduct.algebraMap_def'
AnalyticOn.eval_linearMap'
ContMDiffAt.prod_map'
card_le_of_surjective'
Filter.HasBasis.sup'
Real.list_prod_map_rpow'
DivInvMonoid.zpow_neg'
Mathlib.Tactic.Abel.NormalExpr.term'
concaveOn_of_deriv2_nonpos'
CategoryTheory.createsColimitOfFullyFaithfulOfLift'
Multiplicative.isometricSMul'
Pi.single_smul'
LipschitzWith.nnorm_le_mul'
IsLocalization.mk'_mul_mk'_eq_one'
Composition.blocks_pos'
Lean.IR.getDecl'
Sigma.FaithfulSMul'
bit1_add'
exists_Ico_subset_of_mem_nhds'
Nat.rfind_dom'
Prod.isometricSMul''
Real.rpow_add_nat'
Multiset.sum_map_neg'
Ordnode.insert'
DirectedSystem.map_map'
Measurable.const_vadd'
MulAction.Quotient.coe_smul_out'
InitialSeg.init'
infinite_basis_le_maximal_linearIndependent'
Orientation.areaForm'
Submonoid.LocalizationWithZeroMap.map_zero'
Nat.Prime.one_lt'
ProbabilityTheory.kernel.iIndep.iIndepSets'
hasStrictFDerivAt_exp_smul_const'
IsCyclotomicExtension.ring_of_integers'
QuotientGroup.ker_mk'
FirstOrder.Language.Hom.map_rel'
List.nthLe_map'
FreeSemigroup.traverse_pure'
lt_of_pow_lt_pow_left'
Subring.mk'
Finset.filter_eq'
CategoryTheory.Presheaf.isSheaf_iff_isSheaf'
PiTensorProduct.smulCommClass'
and_congr_left'
csInf_le_csInf'
injective_iff_map_eq_zero'
PartialHomeomorph.trans_target''
Con.lift_apply_mk'
Matrix.UnitaryGroup.toLin'
AddSubgroup.iSup_induction'
Equiv.Perm.mem_support_cycleOf_iff'
Trivialization.coe_fst_eventuallyEq_proj'
CategoryTheory.CosimplicialObject.δ_comp_σ_succ'
_private.Lean.Elab.Tactic.Cache.0.Lean.Elab.Tactic.dbg_cache'
DiffContOnCl.differentiableAt'
IsMonoidHom.map_mul'
measurable_of_tendsto_metrizable'
Nat.exists_strictAnti'
QuotientAddGroup.mk'
comap_norm_nhdsWithin_Ioi_zero'
MeasureTheory.IsAddFundamentalDomain.integral_eq_tsum''
Subsemigroup.iSup_induction'
Matrix.inv_zpow'
sdiff_sdiff_left'
ContinuousWithinAt.preimage_mem_nhdsWithin'
gradient_eq_deriv'
bot_eq_zero'
le_of_tendsto'
ContinuousLinearEquiv.comp_hasFDerivAt_iff'
IntermediateField.eq_of_le_of_finrank_le'
Nat.strongRec'
LinearMap.coe_toContinuousLinearMap'
ext_int'
ULift.distribSMul'
aemeasurable_id''
MeasureTheory.IsFundamentalDomain.set_integral_eq_tsum'
Algebra.adjoin.powerBasis'
PythagoreanTriple.coprime_classification'
Polynomial.SplittingFieldAux.algebra'
CategoryTheory.whiskerLeft_id'
TypeVec.PredLast'
MeasureTheory.Iio_ae_eq_Iic'
continuousAt_extChartAt'
Nat.choose_succ_succ'
PartialHomeomorph.restr_source'
ProbabilityTheory.kernel.comp_apply'
String.toSubstring'
Bool.not_false'
LinearOrderedAddCommMonoidWithTop.top_add'
List.Perm.foldl_eq'
inv_le_of_inv_le'
ZNum.of_to_int'
Composition.mem_range_embedding_iff'
Finset.mem_finAntidiagonal₀'
FractionalIdeal.coeIdeal_ne_zero'
neg_sub'
Mathlib.Tactic.tacticAssumption'
FreeSemigroup.map_mul'
SymplecticGroup.coe_inv'
ContDiffAt.snd''
MeasureTheory.ProbabilityMeasure.tendsto_measure_of_null_frontier_of_tendsto'
Finset.sorted_zero_eq_min'
pi_nnnorm_const_le'
exists_or_eq_left'
Set.iInter_mono'
Nat.one_lt_two_pow'
ENNReal.mul_le_of_le_div'
Set.ncard_eq_toFinset_card'
inf_le_right'
List.TProd.elim'
TopCat.Presheaf.isSheaf_iff_isSheaf_comp'
derivWithin_congr_set'
Profinite.NobelingProof.injective_πs'
ULift.distribMulAction'
LocalizedModule.algebraMap_mk'
intervalIntegral.integral_deriv_comp_mul_deriv'
Asymptotics.isLittleO_irrefl'
zero_le_one'
Cycle.next_reverse_eq_prev'
LipschitzWith.norm_le_mul'
Mathlib.Tactic.rename'
MeasureTheory.IsStoppingTime.measurableSet_le'
Filter.mem_pi'
MvQPF.recF_eq'
div_le_div_left'
Set.singleton_pi'
Std.BitVec.getLsb_zeroExtend'
nsmul_ne_zero_of_lt_addOrderOf'
add_halves'
UpperHalfPlane.det_coe'
Real.exp_bound'
Set.Icc_union_Icc'
NormedSpace.norm_expSeries_summable'
Polynomial.sum_add'
MeasureTheory.pdf.quasiMeasurePreserving_hasPDF'
SimpleGraph.FarFromTriangleFree.cliqueFinset_nonempty'
Matrix.inv_pow'
TypeVec.drop_append1'
LieSubmodule.sSup_coe_toSubmodule'
Option.map_eq_some'
MeasureTheory.integral_Iic_of_hasDerivAt_of_tendsto'
List.zipWithLeft'
QuotientGroup.induction_on'
IsPrimitiveRoot.isPrimitiveRoot_iff'
Profinite.NobelingProof.coe_πs'
List.nodup.sublists'
Matrix.mem_unitaryGroup_iff'
RootSystem.mk'
pow_succ'
List.exists_lt_of_prod_lt'
forall_lt_iff_le'
continuousOn_iff'
QuotientAddGroup.map_mk'
nsmul_eq_mul'
WeierstrassCurve.Affine.nonsingular_add'
Function.support_subset_iff'
NormedSpace.toModule'
uniformEmbedding_iff'
Units.mulDistribMulAction'
CategoryTheory.Limits.opProductIsoCoproduct'
AddLocalization.Away.mk_eq_addMonoidOf_mk'
ContinuousOn.nnnorm'
Filter.EventuallyLE.mul_le_mul'
MeasureTheory.StronglyMeasurable.aeStronglyMeasurable'
norm_eq_zero'
closedUnderRestriction'
CategoryTheory.Subgroupoid.coe_inv_coe'
lt_add_of_lt_of_pos'
Turing.PartrecToTM2.Cont'
MulHom.map_mul'
mul_eq_mul_iff_eq_and_eq_of_pos'
AffineMap.map_vadd'
MeasureTheory.withDensityᵥ_sub'
Finset.prod_le_univ_prod_of_one_le'
lt_sub_iff_add_lt'
Finset.prod_le_prod'
Unitization.algHom_ext''
Fin.castSucc_zero'
MeasureTheory.IsStoppingTime.measurableSet_gt'
inv_mul_le_iff_le_mul'
pow_bit1'
Set.piecewise_mem_Icc'
AffineBasis.ind'
Nat.pow_succ'
Finsupp.wellFoundedLT'
algEquivMatrix'
LinearMap.toAddMonoidHom'
Complex.restrictScalars_one_smulRight'
CategoryTheory.Limits.HasZeroObject.instEpiOfNatToOfNat0Zero'
FdRep.char_tensor'
LinearRecurrence.eq_mk_of_is_sol_of_eq_init'
MeasureTheory.Lp.tendsto_Lp_iff_tendsto_ℒp''
IsPGroup.powEquiv'
Polynomial.Gal.galActionHom_bijective_of_prime_degree'
OpenEmbedding.tendsto_nhds_iff'
ProbabilityTheory.kernel.fst_apply'
Turing.Tape.mk'
List.map₂Right_eq_map₂Right'
Turing.PartrecToTM2.instInhabitedΓ'
Submodule.localized'
LinearMap.IsSymmetric.orthogonalComplement_iSup_eigenspaces_eq_bot'
Lex.instVAdd'
Filter.Germ.compTendsto'
MeasureTheory.withDensityᵥ_smul_eq_withDensityᵥ_withDensity'
MeasureTheory.Measure.LebesgueDecomposition.iSup_monotone'
AddGroupSeminorm.neg'
Nat.sub_succ'
Ordinal.enumOrd_def'
Profinite.NobelingProof.Products.eval_πs'
Polynomial.lt_rootMultiplicity_of_isRoot_iterate_derivative_of_mem_nonZeroDivisors'
Finset.antidiagonal_congr'
CategoryTheory.Limits.Fork.IsLimit.lift'
Quaternion.normSq_def'
Polynomial.rootMultiplicity_mul'
StrictMono.pow_right'
Ordinal.nmul_nadd_lt₃'
List.length_foldr_permutationsAux2'
MeasureTheory.Measure.count_apply_finset'
Basis.toMatrix_reindex'
NonUnitalSubring.mk'
div_self'
tsum_comm'
ChainComplex.mk'
LinearMap.detAux_def'
Nondet.toMLList'
AddAction.selfEquivSigmaOrbits'
NNReal.list_prod_map_rpow'
Finset.sum_ite_eq'
GroupNorm.eq_one_of_map_eq_zero'
Pi.vaddAssocClass'
UpperHalfPlane.smulAux'
Antitone.map_iSup_of_continuousAt'
ModuleCat.RestrictionCoextensionAdj.unit'
MeasureTheory.measure_union₀'
IntermediateField.module'
ContinuousOn.norm'
CategoryTheory.IsKernelPair.lift'
LieAlgebra.Orthogonal.typeBEquivSo'
DilationEquiv.edist_eq'
Field.primitive_element_iff_algHom_eq_of_eval'
instIsCommutativePropXor'
IsAddKleinFour.addEquiv'
List.repr'
Finset.single_le_prod'
contMDiffAt_extChartAt'
Algebra.FiniteType.iff_quotient_mvPolynomial''
CategoryTheory.ShortComplex.ShortExact.δ_apply'
pi_nnnorm_lt_iff'
Profinite.isSheaf_iff_preservesFiniteProducts_and_equalizerCondition'
Matrix.blockDiag'_blockDiagonal'
LocallyFiniteOrder.ofIcc'
TopCat.Sheaf.existsUnique_gluing'
Option.join_ne_none'
_private.Mathlib.SetTheory.Ordinal.Basic.0.Ordinal.succ_le_iff'
Ergodic.ae_empty_or_univ_of_ae_le_preimage'
PProd.forall'
mem_generatePiSystem_iUnion_elim'
Set.star_mem_centralizer'
TopCat.Sheaf.eq_of_locally_eq'
Convex.strictConvex'
Filter.Tendsto.sup_nhds'
MeasureTheory.AEStronglyMeasurable.const_smul'
CategoryTheory.ShortComplex.homologyMapIso'
Quotient.eq''
MeasureTheory.integrable_congr'
smul_add_smul_le_smul_add_smul'
Ne.bot_lt'
isOpen_prod_iff'
LinearMap.domRestrict'
Int.fmod_nonneg'
Lean.ParseImports.State.next'
ConcaveOn.right_le_of_le_left'
GroupWithZero.zpow_succ'
MeasureTheory.lmarginal_insert'
Real.sqrt_div_self'
List.measurable_sum'
Inseparable.specializes'
Nat.succ_le_succ_sqrt'
Std.Tactic.RCases.tryClearMany'
le_of_pow_le_pow_left'
GroupWithZero.zpow_zero'
Nat.floor_eq_iff'
Besicovitch.SatelliteConfig.hlast'
IsometryEquiv.mk'
Mathlib.Meta.Positivity.lt_of_le_of_ne'
Subgroup.eq_top_iff'
ProbabilityTheory.kernel.prodMkLeft_apply'
Padic.complete'
WithTop.top_mul'
Matrix.pow_sub'
Option.map_eq_none'
DiscreteValuationRing.not_a_field'
analyticOn_congr'
invOf_mul_self'
FunctionField.InftyValuation.map_add_le_max'
FreeAddMagma.lift_comp_of'
MeasureTheory.lintegral_rpow_nnnorm_eq_rpow_snorm'
Rat.sub_def'
Polynomial.monic_zero_iff_subsingleton'
Int.eq_one_or_neg_one_of_mul_eq_neg_one'
Finsupp.card_support_le_one'
hasFDerivAt_inv'
PartialHomeomorph.toFun'
Submodule.mem_annihilator'
add_lt_of_neg_of_lt'
Pi.smulWithZero'
Quotient.inductionOn'
Filter.rcomap'_rcomap'
Mathlib.Tactic.BicategoryCoherence.BicategoricalCoherence.left'
Polynomial.card_roots_sub_C'
Turing.Tape.exists_mk'
Metric.mem_of_closed'
LieIdeal.map_sup_ker_eq_map'
UniversalEnvelopingAlgebra.lift_ι_apply'
Ergodic.ae_empty_or_univ_of_preimage_ae_le'
MeasureTheory.Filtration.le'
Set.iInter_eq_iInter_finset'
Submonoid.disjoint_def'
intervalIntegral.integral_interval_sub_interval_comm'
Array.eraseIdx'
Dense.exists_ge'
intervalIntegrable_iff'
Valuation.map_sum_lt'
CategoryTheory.createsColimitOfFullyFaithfulOfIso'
Measurable.comp_aemeasurable'
AddSubmonoid.LocalizationMap.eq'
CategoryTheory.IsSplitEpi.mk'
SpectralMap.coe_comp_continuousMap'
CategoryTheory.Limits.image.ι_zero'
Ordinal.pred_eq_iff_not_succ'
LinearMap.toMatrixAlgEquiv'
LieSubalgebra.ext_iff'
Submonoid.mrange_inr'
Polynomial.degree_pow'
List.permutations'
map_extChartAt_symm_nhdsWithin'
BoundedContinuousFunction.extend_apply'
Pi.isometricSMul''
Rat.divInt_neg'
AlgebraicGeometry.StructureSheaf.localizationToStalk_mk'
InfHom.map_inf'
MeasureTheory.inducedOuterMeasure_eq'
LinearMap.tunnel'
Algebra.norm_eq_zero_iff'
AlgebraicGeometry.basicOpen_eq_of_affine'
List.right_unique_forall₂'
CategoryTheory.Limits.CokernelCofork.IsColimit.desc'
Finset.centerMass_segment'
Finsupp.lhom_ext'
legendreSym.eq_neg_one_iff'
toLex_smul'
MeasureTheory.Measure.sum_apply_eq_zero'
Set.preimage_add_left_zero'
Ideal.mem_span_singleton'
HomologicalComplex.natIsoSc'
sub_add_sub_cancel'
Submodule.map_smul''
finprod_mem_image'
Nat.Prime.eq_two_or_odd'
lt_of_le_of_lt'
Prop.countable'
Finset.le_sup'
Matrix.head_val'
MeasureTheory.isComplete_aeStronglyMeasurable'
EllipticCurve.coeBaseChange_Δ'
ContinuousOn.inf'
CPolynomialOn.congr'
norm_one'
ProbabilityTheory.centralMoment_one'
Matrix.det_units_conj'
Nat.add_sub_cancel'
Continuous.finset_sup'
gauge_lt_eq'
Localization.mk_eq_mk'
le_nhdsAdjoint_iff'
CategoryTheory.HasSheafify.mk'
LatticeHom.withTopWithBot'
Pi.vadd_apply'
CategoryTheory.eq_whisker'
LinearMap.det_toLin'
AddSubmonoid.LocalizationMap.add_mk'_zero_eq_mk'
Part.ext'
DivInvMonoid.zpow_zero'
CliffordAlgebra.instAlgebra'
Eq.subset'
LieAlgebra.lieCharacter_apply_lie'
isNoetherian_submodule'
Ordnode.all_node'
PartialHomeomorph.continuousAt_extend_symm'
mul_le_mul_of_nonpos_of_nonneg'
HasFPowerSeriesOnBall.tendstoLocallyUniformlyOn'
nnnorm_ne_zero_iff'
AlgebraicGeometry.ProjectiveSpectrum.StructureSheaf.SectionSubring.mulMem'
Complex.hasStrictFDerivAt_cpow'
Function.update_comp_eq_of_not_mem_range'
mul_eq_of_eq_div'
MvPolynomial.eval_zero'
AffineSubspace.le_def'
CategoryTheory.ComposableArrows.Precomp.map_zero_one'
List.get_take'
norm_deriv_le_of_lip'
StateRefT'.instMonadExceptOfStateRefT'
CategoryTheory.InjectiveResolution.toRightDerivedZero'
Multiset.quot_mk_to_coe'
ENNReal.tsum_prod'
PseudoEpimorphism.exists_map_eq_of_map_le'
MeasureTheory.lintegral_mono_fn'
Int.negSucc_coe'
Lean.Compiler.LCNF.ToExpr.run'
OrderDual.continuousConstSMul'
Filter.map_prod_eq_map₂'
IntermediateField.inv_mem'
PartialHomeomorph.eventually_nhdsWithin'
Set.Ico_mul_Ioc_subset'
StrictMonoOn.const_mul'
Polynomial.mul'
AddCommGroup.ModEq.neg'
NormedSpace.expSeries_apply_eq_div'
norm_algebraMap'
AlternatingMap.domCoprod.summand_mk''
ContinuousAlternatingMap.map_eq_zero_of_eq'
IsCyclotomicExtension.discr_prime_pow_ne_two'
Cubic.monic_of_a_eq_one'
map_finset_sup'
PartialHomeomorph.trans_source'
IntervalIntegrable.aestronglyMeasurable'
Equiv.Perm.IsCycle.pow_eq_one_iff'
uniformity_basis_edist'
PolynomialModule.eval_map'
DFinsupp.addHom_ext'
Traversable.traverse_eq_map_id'
Nat.chineseRemainder'
FunLike.ext'
PartialHomeomorph.eventually_nhds'
isOpen_lt'
MeasureTheory.Measure.count_ne_zero'
StateRefT'.instMonadStateOfStateRefT'
MulHom.prod_map_comap_prod'
Set.ordConnected_iInter'
Asymptotics.isBigOWith_of_le'
BoxIntegral.IntegrationParams.MemBaseSet.mono'
contMDiffWithinAt_iff_of_mem_source'
CategoryTheory.GrothendieckTopology.top_mem'
Function.mulSupport_inv'
Matrix.range_toLin'
IsKleinFour.card_four'
CategoryTheory.ShortComplex.LeftHomologyData.τ₁_ofEpiOfIsIsoOfMono_f'
CategoryTheory.ShortComplex.rightHomologyMapIso'
Set.setOf_eq_eq_singleton'
_private.Mathlib.Computability.Primrec.0.list_casesOn'
WithTop.coe_sSup'
HeytingHom.map_himp'
OmegaCompletePartialOrder.const_continuous'
eventually_cobounded_le_norm'
List.alternatingProd_cons'
DFinsupp.Lex.wellFounded'
IsROrC.normSq_eq_def'
CategoryTheory.ShortComplex.RightHomologyData.IsPreservedBy.g'
MeasureTheory.IsFundamentalDomain.integral_eq_tsum'
IsAddUnit.val_addUnit'
Set.isScalarTower'
NormedCommGroup.ofMulDist'
LieModule.isNilpotent_iff_forall'
Lean.Expr.forEach'
IsCyclotomicExtension.Rat.discr_odd_prime'
CategoryTheory.IsPushout.of_hasBinaryCoproduct'
pow_four_add_four_mul_pow_four'
Finset.image_add_right'
IsAntichain.eq'
Prod.forall'
Mathlib.Tactic.Coherence.MonoidalCoherence.tensor_right'
Polynomial.support_monomial'
Turing.TM1to1.trTape_mk'
Filter.hasBasis_biInf_of_directed'
measurable_liminf'
Trivialization.mk_proj_snd'
CategoryTheory.SimplicialObject.δ_comp_δ'
Set.Ioc_subset_uIoc'
HasDerivWithinAt.limsup_slope_le'
Sym2.rel_iff'
Lean.Elab.Term.elabForIn'
Ideal.isJacobson_iff_sInf_maximal'
norm_sub_norm_le'
List.norm_prod_le'
Finset.single_lt_prod'
Submodule.mem_sup'
apply_abs_le_mul_of_one_le'
card_dvd_exponent_nsmul_rank'
IsLocalization.surj''
one_le_two'
Matrix.toLinAlgEquiv'
ContinuousLinearMap.op_nnnorm_le_bound'
AddMonoid.nat_smulCommClass'
List.forM_cons'
ContinuousWithinAt.sup'
Acc.induction_bot'
StructureGroupoid.LocalInvariantProp.congr'
mul_add_mul_le_mul_add_mul'
MeasureTheory.lintegral_prod_symm'
Filter.prod_comm'
Finset.Nat.prod_antidiagonal_succ'
MeasureTheory.OuterMeasure.top_apply'
Submodule.mem_iSup_iff_exists_dfinsupp'
ZMod.val_mul'
Fintype.linearIndependent_iff'
DirectSum.addHom_ext'
AddCircle.measurable_mk'
FirstOrder.Language.Theory.ModelType.nonempty'
basis_le_span'
Monad.sequence'
neg_le_sub_iff_le_add'
multiplicity.mul'
bne_self_eq_false'
mul_inv_le_iff'
Set.EqOn.piecewise_ite'
Nat.Partrec.rfind'
CategoryTheory.ComposableArrows.sc'
decide_True'
GroupCat.SurjectiveOfEpiAuxs.τ_apply_fromCoset'
Std.Tactic.Omega.Int.add_nonnneg_iff_neg_le'
NNReal.div_le_iff'
StarSubalgebra.adjoin_induction'
WittVector.truncate_mk'
Seminorm.closedBall_zero'
ContinuousLinearMap.apply_apply'
Matroid.exists_basis'
HasCompactSupport.intro'
Ideal.IsJacobson.out'
Submodule.IsPrincipal.principal'
toIcoMod_neg'
AlgebraicTopology.DoldKan.hσ'
Filter.coprodᵢ_bot'
AddMonoidHom.coe_smul'
MeasureTheory.norm_set_integral_le_of_norm_le_const_ae'
Tactic.NormNum.int_gcd_helper'
LinearPMap.toFun'
_private.Lean.Meta.Tactic.Generalize.0.Lean.Meta.generalizeCore.go'
exists_one_lt_mul_of_lt'
Turing.PartrecToTM2.Γ'
ConvexBody.isCompact'
MeasureTheory.Integrable.toL1_smul'
StrictAnti.mul'
MeasureTheory.Measure.restrict_apply'
Multiset.sum_hom'
MvPolynomial.homogeneousComponent_eq_zero'
MeasureTheory.withDensity_absolutelyContinuous'
Filter.eventually_atTop_prod_self'
Num.of_to_nat'
GroupSeminorm.mul_le'
Std.Tactic.RCases.RCasesPatt.alts'
nnnorm_one'
HasFDerivAt.mul_const'
MeasureTheory.SigmaFinite.out'
fourier_zero'
ciSup_le_iff'
Ordnode.splitMin'
div_mul_cancel''
Filter.countable_biInf_eq_iInf_seq'
Polynomial.isUnitTrinomial_iff''
AddSemigroup.opposite_vaddCommClass'
IsScalarTower.coe_toAlgHom'
Finset.stronglyMeasurable_sum'
FunLike.fintype'
ContinuousOn.finset_inf'
norm_le_zero_iff'
closedBall_pi'
MvPolynomial.eval₂Hom_zero'
MeasureTheory.SimpleFunc.lintegral_map'
UInt32.ofNat'
MeasureTheory.StronglyMeasurable.integral_prod_right'
Function.Commute.iterate_pos_le_iff_map_le'
Finset.le_min'
ENNReal.mul_lt_mul_left'
one_le_finprod'
ProbabilityTheory.CondIndepSets.condIndep'
Nat.le_nth_count'
CategoryTheory.sheafHom'
minpoly.eq_X_sub_C'
Rat.cast_mk'
PiLp.norm_equiv_symm_const'
Nat.log_eq_one_iff'
CategoryTheory.Grothendieck.id_fiber'
Units.smulCommClass'
exists_lt_of_lt_ciSup'
WellFounded.of_quotient_liftOn₂'
SmoothPartitionOfUnity.locallyFinite'
ProbabilityTheory.mgf_pos'
le_of_pow_le_pow'
LinearMap.minpoly_toMatrix'
Lean.SMap.insert'
zero_lt_one_add_norm_sq'
_private.Lean.Meta.Tactic.UnifyEq.0.Lean.Meta.heqToEq'
CategoryTheory.ShortComplex.HomologyData.ofIsIsoLeftRightHomologyComparison'
MeasureTheory.lintegral_mul_const'
MeasureTheory.AEStronglyMeasurable.convolution_integrand'
le_of_forall_le'
CategoryTheory.Limits.prod.lift'
Bimod.AssociatorBimod.hom_left_act_hom'
PiTensorProduct.distribMulAction'
ppow_mul'
Matrix.twoBlockTriangular_det'
Unitization.algHom_ext'
ProbabilityTheory.mgf_const'
one_lt_mul''
AffineMap.decomp'
List.not_lt_maximum_of_mem'
fderivWithin_inv'
Filter.RTendsto'
IsUpperSet.cthickening'
Lean.Parser.Term.byTactic'
one_ne_zero'
StarAlgEquiv.ofInjective'
Finset.Icc_mul_Icc_subset'
Set.fintypeSeq'
GaloisConnection.u_csInf'
Trivialization.coe_fst'
LipschitzWith.of_dist_le'
_private.Mathlib.Topology.ContinuousFunction.Bounded.0.BoundedContinuousFunction.dist_nonneg'
ContinuousMap.HomotopyEquiv.toFun'
CochainComplex.shiftFunctorAdd'_hom_app_f'
IntervalIntegrable.mono_set'
Exists.imp'
CategoryTheory.ShortComplex.LeftHomologyMapData.commf'
CategoryTheory.ShortComplex.opcyclesMapIso'
ContinuousLinearMap.isSelfAdjoint_iff'
Matrix.inv_smul'
ENNReal.toNNReal_eq_toNNReal_iff'
continuousAt_extChartAt_symm''
norm_mk_lt'
Set.mapsTo_of_subsingleton'
CategoryTheory.Limits.coequalizer.desc'
Field.zpow_succ'
FrameHom.map_sSup'
ProbabilityTheory.kernel.ext_iff'
CategoryTheory.Limits.Sigma.map'_comp_map'
le_of_forall_pos_lt_add'
PartENat.casesOn'
birkhoffSum_succ'
Filter.liminf_eq_iSup_iInf_of_nat'
IntermediateField.lift_sepDegree_bot'
Polynomial.hasseDeriv_one'
CategoryTheory.Equivalence.cancel_counitInv_right_assoc'
MeasureTheory.tilted_apply'
toIcoMod_add_right'
Nat.exists_strictMono'
AddSubsemigroup.eq_top_iff'
and_comm'
LinearMap.mul_toMatrix'
homology'IsoCokernelImageToKernel'
TopologicalSpace.PositiveCompacts.interior_nonempty'
AddSubmonoid.closure_induction'
Cubic.monic_of_b_eq_one'
_private.Mathlib.Data.Complex.Abs.0.Complex.AbsTheory.abs_nonneg'
AbsoluteValue.IsAdmissible.exists_partition'
integrableOn_Icc_iff_integrableOn_Ico'
Finset.sum_range_succ'
MvPFunctor.M.dest'
Mathlib.ProjectionNotation.delabProjectionApp'
PNat.gcdB'
EStateM.orElse'
nsmul_add_comm'
Ordnode.splitMax'
Subtype.exists'
Finset.fold_ite'
contMDiffOn_iff_of_subset_source'
CategoryTheory.ShortComplex.hasRightHomology_of_epi_of_isIso_of_mono'
CochainComplex.shiftFunctorAdd'_inv_app_f'
AlgebraicGeometry.StructureSheaf.IsFraction.eq_mk'
FreeAddSemigroup.lift_comp_of'
Equiv.arrowCongr'
MeasureTheory.SimpleFunc.setToSimpleFunc_add_left'
CategoryTheory.Limits.imageSubobject_arrow'
UniformCauchySeqOn.prod'
Submonoid.mrange_inl'
Cycle.prev_reverse_eq_next'
FormalMultilinearSeries.apply_order_ne_zero'
Convex.mem_toCone'
smul_lt_smul_of_lt_of_le'
Pi.continuous_postcomp'
exists_prop_congr'
essSup_const'
Set.smul_inter_ne_empty_iff'
mem_pairSelfAdjointMatricesSubmodule'
SupBotHom.map_bot'
MeasureTheory.IsAddFundamentalDomain.mk''
DirichletCharacter.level_one'
Nat.succ_pos'
Aesop.Goal.runMetaMInPostNormState'
AlgebraicGeometry.PresheafedSpace.IsOpenImmersion.app_inv_app'
List.filter_congr'
List.append_inj_right'
countable_of_isolated_right'
SetTheory.PGame.moveLeftShort'
SpectralMap.spectral'
List.Perm.sum_eq'
MeasureTheory.Filtration.mono'
Equicontinuous.closure'
inv_le'
MeasureTheory.Ioo_ae_eq_Ico'
PosNum.pred'_succ'
IsLocalization.smul_mk'
Continuous.matrix_blockDiagonal'
gcd_comm'
OrderIso.map_top'
Pi.starRing'
invOf_one'
isCompact_iff_ultrafilter_le_nhds'
strictConvexOn_of_deriv2_pos'
dist_eq_norm_vsub'
Set.indicator_apply_le'
Part.Fix.approx_mono'
MeasureTheory.set_lintegral_mono_ae'
le_iff_exists_mul'
LieAlgebra.Orthogonal.so'
add_sub_cancel'
FreeAbelianGroup.induction_on'
NonUnitalStarSubalgebra.instIsScalarTower'
Polynomial.cyclotomic'
Int.toNat_lt'
PrincipalSeg.coe_coe_fn'
StrictAnti.mul_const'
IsLocalizedModule.surj'
ProbabilityTheory.evariance_def'
MeasureTheory.withDensity_smul'
NormedAlgebra.toNormedSpace'
MeasureTheory.Measure.lt_iff'
Icc_mem_nhdsWithin_Iio'
Nat.ModEq.cancel_left_div_gcd'
Homeomorph.comp_isOpenMap_iff'
nhdsWithin_Iic_basis'
finprod_mem_union'
AlgHom.coe_mk'
CategoryTheory.ShortComplex.cyclesMapIso'
Computation.eq_thinkN'
Filter.Tendsto.op_zero_isBoundedUnder_le'
CategoryTheory.ShortComplex.Exact.mono_g'
EmbeddingLike.injective'
Finset.aestronglyMeasurable_sum'
ConcaveOn.smul''
Nat.succ_inj'
IO.Process.runCmdWithInput'
finprod_mem_inter_mulSupport_eq'
Nat.factorization_eq_zero_iff'
Fintype.prod_prod_type'
iteratedFDeriv_add_apply'
CategoryTheory.ShortComplex.moduleCatLeftHomologyData_f'
Mathlib.Tactic.Ring.ExtractCoeff.ve'
le_ciInf_iff'
MvPFunctor.M.dest_corec'
Quotient.liftOn'_mk''
GroupSeminorm.inv'
Complex.UnitDisc.instSMulCommClass_closedBall'
MeasureTheory.TendstoInMeasure.exists_seq_tendsto_ae'
CategoryTheory.CommSq.HasLift.mk'
nhdsWithin_inter'
Stonean.finiteCoproduct.isColimit'
CategoryTheory.Limits.Concrete.widePushout_exists_rep'
IsAddMonoidHom.map_add'
Nat.roughNumbersUpTo_card_le'
CategoryTheory.Localization.instFullFunctorCategoryFunctorCategoryWhiskeringLeftFunctor'
LightProfinite'
Nat.decreasingInduction'
SubMulAction.smul_mem'
MultilinearMap.domDomCongrLinearEquiv'
Finset.Nat.antidiagonal_eq_map'
Fin.size_positive'
ULift.isometricVAdd'
_private.Mathlib.Algebra.Module.LocalizedModule.0.LocalizedModule.add_zero'
ContinuousMap.Homotopy.diagonalPath'
ProbabilityTheory.kernel.set_integral_deterministic'
Set.indicator_zero'
CategoryTheory.ShortComplex.f'_cyclesMap'
Differentiable.inv'
Matrix.toLinearMapRight'
LinearOrderedAddCommGroupWithTop.zsmul_succ'
AlgHom.coe_restrictScalars'
finsum_mem_range'
CategoryTheory.Limits.limit.map_pre'
MeasureTheory.integral_Iic_eq_integral_Iio'
BoxIntegral.Prepartition.iUnion_def'
Filter.frequently_atBot'
MeasurableEmbedding.withDensity_ofReal_comap_apply_eq_integral_abs_deriv_mul'
Mathlib.Tactic.BicategoryCoherence.BicategoricalCoherence.hom'
MeasureTheory.Integrable.comp_mul_left'
mem_nhds_iff_exists_Ioo_subset'
mul_div_cancel''
AffineEquiv.coe_mk'
ofDual_vadd'
Polynomial.eval₂_eq_sum_range'
Finset.ofDual_min'
Cubic.leadingCoeff_of_c_eq_zero'
Trivialization.apply_symm_apply'
Finset.one_le_prod''
CategoryTheory.Functor.instIsSplitMonoBiprodObjToQuiverToCategoryStructToQuiverToCategoryStructToPrefunctorBiprodBiprodComparison'
CategoryTheory.Preadditive.epi_of_isZero_cokernel'
Finset.Iio_mul_Iic_subset'
AntilipschitzWith.le_mul_nnnorm'
Quotient.map'
QuotientGroup.out_eq'
Function.Commute.iterate_pos_lt_iff_map_lt'
LE.le.trans'
Submodule.closure_induction'
NonUnitalSubalgebra.toNonUnitalSubsemiring'
Ordinal.range_familyOfBFamily'
Set.iUnion_eq_iUnion_finset'
IsPrimitiveRoot.subOneIntegralPowerBasis'
BoundedLatticeHom.map_top'
AddCon.lift_apply_mk'
MeasureTheory.Measure.restrict_restrict₀'
CategoryTheory.ProjectiveResolution.pOpcycles_comp_fromLeftDerivedZero'
Matrix.det_conj'
Set.OrdConnected.inter'
MeasureTheory.Measure.rnDeriv_smul_left'
ModuleFilterBasis.smul_left'
UpperSet.upper'
List.rotate_eq_rotate'
LipschitzOnWith.of_le_add_mul'
MeasureTheory.Measure.set_integral_toReal_rnDeriv_eq_withDensity'
xor_iff_not_iff'
PartialHomeomorph.IsImage.symm_preimage_eq'
Polynomial.degree_mul'
Real.tan_add'
Matrix.SpecialLinearGroup.toLin'
Std.RBNode.Path.zoom_fill'
MonadExcept.orelse'
Turing.TM1to0.instInhabitedΛ'
lt_mul_of_one_lt_right'
Asymptotics.IsBigO.congr'
Int.odd_pow'
CompleteLatticeHom.map_sSup'
IsDedekindDomain.HeightOneSpectrum.IntValuation.map_add_le_max'
ContinuousOpenMap.map_open'
finprod_def'
ProbabilityTheory.cond_mul_eq_inter'
ContinuousMap.compStarAlgHom'
Finset.decidableExistsOfDecidableSSubsets'
dite_eq_iff'
CategoryTheory.IsPullback.of_isLimit'
ProbabilityTheory.kernel.sum_apply'
MeasureTheory.Measure.finiteSpanningSetsInOpen'
Nat.iInf_le_succ'
Continuous.matrix_blockDiag'
AffineEquiv.linear_mk'
Metric.continuousAt_iff'
Bornology.ext_iff'
fderiv_mul'
Function.Periodic.compact_of_continuous'
Complex.inv_cpow_eq_ite'
tendsto_ceil_right'
norm_image_sub_le_of_norm_deriv_le_segment_01'
MeasureTheory.condexpIndSMul_smul'
List.toFinsupp_apply_lt'
AntitoneOn.const_mul'
Quot.recOnSubsingleton'
finsum_emb_domain'
ball_pi'
ConcaveOn.left_le_of_le_right'
PProd.exists'
Real.le_sqrt'
Turing.PartrecToTM2.instFintypeΓ'
CategoryTheory.CosimplicialObject.δ_comp_σ_of_gt'
Int.even_add'
SetTheory.PGame.Fuzzy.not_equiv'
Padic.complete''
OmegaCompletePartialOrder.Continuous.of_bundled'
Dvd.dvd.antisymm'
Matrix.toLin'_apply'
Complex.hasSum_sin'
ContinuousAt.inf'
Units.map'
AlgebraicGeometry.Scheme.OpenCover.pullbackCover'
Mathlib.Tactic.Group.zsmul_trick_zero'
pow_strictMono_right'
TopCat.GlueData.preimage_image_eq_image'
AddSubmonoid.LocalizationMap.mk'_spec'
Nat.odd_sub'
mem_selfAdjointMatricesSubmodule'
LinearMap.toMatrix'
Matrix.zpow_mul'
quotient_norm_mk_le'
AddGroupFilterBasis.add'
card_nsmul_eq_zero'
PartialHomeomorph.eventually_left_inverse'
AddCon.lift_comp_mk'
ProbabilityTheory.kernel.comapRight_apply'
Polynomial.natDegree_mul'
IsLowerSet.le_card_inter_finset'
PartENat.get_natCast'
CategoryTheory.CatCommSq.hInv'
Subring.eq_top_iff'
_private.Lean.Elab.Inductive.0.Lean.Elab.Command.levelMVarToParam.levelMVarToParam'
ChartedSpaceCore.open_source'
RatFunc.num_div_dvd'
Matrix.toLin'_toMatrix'
OmegaCompletePartialOrder.Continuous'
MeasureTheory.SimpleFunc.simpleFunc_bot'
Quotient.ind₂'
nhdsWithin_pi_eq'
AddSubmonoid.LocalizationMap.surj'
Quotient.hrecOn₂'
Finset.card_pow_le'
MeasureTheory.Lp.ae_eq_of_forall_set_integral_eq'
exists_sum_eq_one_iff_pairwise_coprime'
AddCon.mrange_mk'
RegularExpression.rmatch_iff_matches'
continuousAt_extChartAt_symm'
not_dvd_index_sylow'
Matrix.blockTriangular_blockDiagonal'
PartialHomeomorph.EqOnSource.trans'
Filter.Germ.instSMul'
Set.Icc_mul_Ico_subset'
CategoryTheory.FreeBicategory.homCategory'
Lean.Elab.Tactic.iterateExactly'
LinearMap.toMatrix₂'
Multiset.ext'
pow_le_pow'
RingInvo.mk'
Option.map_coe'
tendsto_indicator_const_iff_tendsto_pi_pure'
zipWithM'
NonUnitalSubsemiring.eq_top_iff'
Bimod.TensorBimod.actRight_one'
finrank_eq_one_iff_of_nonzero'
_private.Mathlib.SetTheory.Ordinal.Arithmetic.0.Ordinal.mul_eq_zero'
Lean.HashSet.insert'
Finset.toDual_inf'
ADEInequality.admissible_of_one_lt_sumInv_aux'
Fin.le_zero_iff'
Polynomial.addHom_ext'
HahnSeries.algebraMap_apply'
Filter.pcomap'
CategoryTheory.Projective.projective_iff_preservesEpimorphisms_preadditiveCoyoneda_obj'
AlgebraicGeometry.SheafedSpace.comp_c_app'
Mathlib.Tactic.Coherence.MonoidalCoherence.right'
LocallyFinite.continuousOn_iUnion'
uniformity_eq_comap_nhds_one'
FreeAddMagma.map_add'
rank_finsupp_self'
and_congr_right'
exists_eq'
integrableOn_Iic_iff_integrableOn_Iio'
nndist_midpoint_midpoint_le'
Multiset.revzip_powersetAux'
ZFSet.IsTransitive.sUnion'
_private.Init.Data.Format.Basic.0.Std.Format.spaceUptoLine'
CategoryTheory.Limits.Types.limit_ext'
Set.Finite.biUnion'
one_lt_pow'
Quotient.mk''
StrictMono.const_mul'
LinearIsometry.completeSpace_map'
CategoryTheory.IsPushout.of_is_coproduct'
_private.Mathlib.FieldTheory.IntermediateField.0.IntermediateField.eq_of_le_of_finrank_le''
NormedGroup.ofMulDist'
Cardinal.mk_finsupp_of_infinite'
Real.sqrt_ne_zero'
mem_rootsOfUnity'
Aesop.Goal.runMetaMInParentState'
MeasureTheory.IsStoppingTime.measurableSet_ge'
instDecidableEqLists'
ZNum.cast_zero'
CategoryTheory.ShortComplex.LeftHomologyData.map_leftHomologyMap'
Ideal.isJacobson_of_isIntegral'
Int.coprime_of_sq_sum'
AddChar.zmodChar_apply'
AEMeasurable.sub'
IntermediateField.rank_top'
AlgebraicGeometry.StructureSheaf.const_apply'
MeasureTheory.SimpleFunc.setToSimpleFunc_const'
Polynomial.mem_roots_sub_C'
Polynomial.exists_root_of_splits'
Decidable.Partrec.const'
Lean.Elab.InfoTree.foldInfo'
AffineMap.coe_mk'
inv_lt_div_iff_lt_mul'
LinearOrderedField.qsmul_eq_mul'
Int.two_pow_sub_pow'
PartialEquiv.EqOnSource.symm'
Real.rpow_one_add'
Option.some_bind'
Cardinal.cantor'
legendreSym.eq_one_iff'
CategoryTheory.ComposableArrows.IsComplex.zero'
CategoryTheory.Monad.Algebra.Hom.ext'
min_div_div_left'
pi_Ici_mem_nhds'
List.get?_reverse'
ContinuousLinearMap.coe_restrictScalars'
MeasureTheory.L1.norm_setToL1_le_mul_norm'
SimplexCategory.Hom.ext'
MeasureTheory.measure_iUnion_null_iff'
CategoryTheory.Limits.equalizer.lift'
Function.Injective.surjective_comp_right'
SemilatticeSup.mk'
AEMeasurable.mul'
Polynomial.eval_eq_sum_range'
StarAlgEquiv.mk_coe'
Ordinal.blsub_eq_lsub'
Fin.orderIso_subsingleton'
Submodule.disjoint_def'
AEMeasurable.const_vadd'
CategoryTheory.Limits.biprod.map_eq_map'
Flow.map_add'
Set.mulIndicator_apply_le'
Std.TransCmp.cmp_congr_left'
one_lt_div'
List.count_singleton'
CategoryTheory.Limits.KernelFork.IsLimit.ofι'
CategoryTheory.ShortComplex.opcyclesMap'
FormalMultilinearSeries.id_apply_one'
Bornology.IsBounded.exists_norm_le'
Finsupp.distribMulActionHom_ext'
MeasureTheory.Measure.count_injective_image'
CategoryTheory.ShortComplex.isIso_opcyclesMap_of_isIso_of_epi'
Order.isPredLimitRecOn_pred'
CategoryTheory.MorphismProperty.instCategoryLocalization'
Finset.Ioc_mul_Ico_subset'
Finset.inf'
birkhoffAverage_zero'
coe_nnnorm'
FirstOrder.Language.Term.realize_quotient_mk'
RingHom.mk'
Polynomial.trinomial_trailing_coeff'
eq_natCast'
Linarith.addExprs'
MulEquiv.toAdditive''
volume_regionBetween_eq_integral'
MeasureTheory.ae_restrict_iff'
Nat.shiftLeft_eq'
CochainComplex.shiftFunctorAdd'
Finset.one_lt_prod'
MeasureTheory.snorm'_zero'
Nat.digits_lt_base'
Measurable.div'
ContinuousMap.coe_inf'
CategoryTheory.Functor.inr_biprodComparison'
CategoryTheory.MonoidalCategory.inv_hom_id_tensor'
OnePoint.tendsto_nhds_infty'
AddEquiv.neg'
PFun.graph'
SetTheory.PGame.moveRight_neg'
Set.image_id'
Multiset.foldl_induction'
QuadraticForm.IsometryEquiv.map_app'
Set.indicator_neg'
AlgEquiv.mk_coe'
Ring.inverse_eq_inv'
CategoryTheory.Biprod.isoElim'
VectorBundle.continuousOn_coordChange'
TopologicalSpace.SecondCountableTopology.mk'
Finsupp.support_subset_singleton'
PNat.XgcdType.IsSpecial'
MeasureTheory.ae_eq_comp'
Flag.Chain'
Set.biInter_and'
Polynomial.taylor_zero'
jacobiSym.mod_right'
Measurable.sup'
iSup_of_empty'
bit0_zsmul'
Sym2.instDecidableRel'
AddGroupNorm.eq_zero_of_map_eq_zero'
Matroid.basis_iff'
Filter.tendsto_atTop_of_add_bdd_above_left'
Filter.eventually_smallSets'
deriv.neg'
Surreal.dyadicMap_apply_pow'
Filter.Tendsto.eventually_ne_atTop'
Filter.hasBasis_iInf'
Filter.unbounded_of_tendsto_atTop'
_private.Lean.Elab.Print.0.Lean.Elab.Command.mkHeader'
CategoryTheory.FreeMonoidalCategory.normalize'
CategoryTheory.ShortComplex.RightHomologyMapData.commg'
Filter.Tendsto.const_mul_atTop'
IsLocalization.mk'
Codisjoint.sup_left'
OrderIso.isGLB_image'
DualNumber.algHom_ext'
fourier_neg'
PNat.div_add_mod'
Continuous.norm'
StrictAntiOn.const_mul'
CategoryTheory.CosimplicialObject.δ_comp_δ_self'
MeasureTheory.norm_setToFun_le'
Lean.Compiler.LCNF.mkAuxJpDecl'
OrderDual.instVAddAssocClass''
FractionalIdeal.coeIdeal_injective'
ZMod.int_cast_eq_int_cast_iff'
OrderDual.instMulActionWithZero'
NormedSpace.exp_series_hasSum_exp'
Algebra.TensorProduct.algebraMap_apply'
ciInf_le'
Real.sqrt_mul'
Set.Nonempty.preimage'
forall_true_iff'
convexOn_of_deriv2_nonneg'
Submodule.eq_top_of_nonempty_interior'
four_ne_zero'
CategoryTheory.Pseudofunctor.mkOfOplax'
ENNReal.ofReal_lt_ofReal_iff'
CstarRing.norm_star_mul_self'
Set.PairwiseDisjoint.elim'
NormedRing.inverse_one_sub_nth_order'
Polynomial.as_sum_range'
CategoryTheory.Functor.CommShift.isoAdd'
RelHom.map_rel'
le_of_mul_le_mul_right'
Con.mul'
continuous_id'
IsCompact.exists_bound_of_continuousOn'
LinearMap.finiteDimensional'
deriv_const_add'
pi_Ioo_mem_nhds'
Set.image_mul_left_Icc'
Finset.prod_sigma'
List.exists_le_of_prod_le'
Set.image_congr'
ConcaveOn.smul_convexOn'
Right.one_lt_mul'
pow_le_pow_iff_right'
List.Chain'
Polynomial.natDegree_pow'
_private.Mathlib.MeasureTheory.Decomposition.SignedHahn.0.MeasureTheory.SignedMeasure.exists_subset_restrict_nonpos'
MeasureTheory.L1.SimpleFunc.setToL1S_smul_left'
StructureGroupoid.LocalInvariantProp.liftPropWithinAt_indep_chart'
Aesop.instInhabitedOptions'
CategoryTheory.whiskerRight_id'
hasFDerivAt_integral_of_dominated_loc_of_lip'
MeasureTheory.Measure.restrict_apply_eq_zero'
HomologicalComplex.exactAt_iff'
pow_bit0'
summable_matrix_blockDiagonal'
Lists'.mem_of_subset'
Ring.mul_inverse_rev'
FiberBundle.trivializationAt'
CategoryTheory.OplaxNatTrans.Modification.comp_app'
HomogeneousLocalization.val_mk''
Composition.one_le_blocks'
mk_eq_mk_of_basis'
mul_le_mul_of_nonneg_of_nonpos'
CategoryTheory.Limits.Types.Limit.map_π_apply'
GaloisInsertion.isAtom_iff'
sigma_mk_preimage_image'
EMetric.totallyBounded_iff'
pow_ne_one_of_lt_orderOf'
exists_seq_norm_le_one_le_norm_sub'
Filter.tendsto_atTop_mono'
MeasureTheory.IsStoppingTime.measurableSet_lt'
Nat.sub_le_iff_le_add'
CategoryTheory.Localization.Lifting.id_iso'
neg_add_lt_iff_lt_add'
MeasureTheory.IsStoppingTime.measurableSet_lt_of_countable_range'
Setoid.ext'
Filter.frequently_atTop'
ContDiffBump.nonneg'
FP.Float.sign'
CategoryTheory.ShortComplex.RightHomologyData.ofZeros_g'
Polynomial.C_mul'
ContinuousOn.integrableOn_compact'
bernsteinPolynomial.flip'
List.Pairwise.sublists'
Real.continuous_log'
Subalgebra.toIntermediateField'
HasDerivAt.hasGradientAt'
Decidable.imp_or'
MeasureTheory.Integrable.mul_const'
MeasureTheory.integral_Ioi_of_hasDerivAt_of_nonneg'
mabs_le'
Stonean.isSheaf_iff_preservesFiniteProducts'
MeasureTheory.snorm_eq_snorm'
ContinuousLinearEquiv.hasSum'
PosNum.mod'
Cardinal.sum_const'
Profinite.NobelingProof.contained_C'
Set.preimage_eq_preimage'
SimplicialObject.Split.mk'
mul_add_mul_lt_mul_add_mul'
Subgroup.comap_equiv_eq_map_symm'
QuotientAddGroup.coe_mk'
Fin.mul_zero'
Polynomial.lhom_ext'
NNReal.div_le_of_le_mul'
dvd_geom_sum₂_iff_of_dvd_sub'
Filter.map_id'
Ioc_mem_nhdsWithin_Iic'
ContractingWith.efixedPoint_mem'
finsum_mem_inter_support_eq'
Filter.coprodᵢ_eq_bot_iff'
ContDiffAt.snd'
mul_le_of_le_one_left'
CategoryTheory.composePath_comp'
List.maximum?_eq_some_iff'
IsDedekindDomain.HeightOneSpectrum.IntValuation.map_mul'
skewAdjoint.conjugate'
MeasureTheory.ProgMeasurable.finset_prod'
DirichletCharacter.changeLevel_def'
DilationEquivClass.edist_eq'
UniformAddGroup.mk'
Finset.vaddAssocClass'
NormedAddCommGroup.cauchy_series_of_le_geometric''
PartialHomeomorph.isLocalStructomorphWithinAt_iff'
MeasureTheory.measure_union_add_inter'
Set.ncard_exchange'
AddMonoidHom.map_finsum_mem'
EquivLike.coe_injective'
List.decidableChain'
Finset.ofDual_sup'
Pi.smulZeroClass'
ContractingWith.apriori_edist_iterate_efixedPoint_le'
fderivWithin_mul_const'
PFunctor.Approx.head'
Nat.even_pow'
LieSubmodule.sInf_coe_toSubmodule'
AffineEquiv.map_vadd'
min_inv_inv'
iSup_subtype'
MvQPF.wEquiv.abs'
IsDedekindDomain.HeightOneSpectrum.instIsScalarTowerAdicCompletionToSMulToCommSemiringToSemiringToDivisionSemiringToSemifieldToSMulToCommSemiringInstFieldAdicCompletionInstAlgebraAdicCompletionToCommSemiringToSemifieldToSemiringToDivisionSemiringInstFieldAdicCompletionAlgebra'
LevenshteinEstimator'
Real.nat_cast_le_toNNReal'
hasDerivAt_neg'
Finset.mem_inv'
AddAction.Quotient.coe_vadd_out'
norm_lineDeriv_le_of_lip'
CategoryTheory.Limits.Types.pi_lift_π_apply'
SameRay.of_subsingleton'
CategoryTheory.Limits.Pi.map'_comp_map'
Semiquot.mem_pure'
not_lt_zero'
localization_unit_isIso'
exists_ratio_deriv_eq_ratio_slope'
ENNReal.exists_frequently_lt_of_liminf_ne_top'
Set.encard_exchange'
Asymptotics.IsLittleO.congr'
Pi.vaddCommClass'
Nat.toPNat'
EuclideanDomain.div_add_mod'
Multiset.count_map_eq_count'
_private.Mathlib.MeasureTheory.Decomposition.SignedHahn.0.MeasureTheory.SignedMeasure.someExistsOneDivLT_subset'
Localization.algEquiv_mk'
Ordinal.nmul_nadd_le₃'
FormalMultilinearSeries.order_eq_zero_iff'
CliffordAlgebra.foldr'
DFinsupp.support'
Representation.ofModule'
QuaternionAlgebra.star_add_self'
Algebra.commutes'
coord_norm'
max_rec'
IntermediateField.exists_algHom_of_splits'
AddSubmonoid.zero_mem'
cross_anticomm'
CategoryTheory.MorphismProperty.RightFraction.ofInv_X'
List.get_cons_succ'
MeasureTheory.ae_eq_zero_of_forall_set_integral_isCompact_eq_zero'
List.filter_attach'
PartialHomeomorph.IsImage.iff_symm_preimage_eq'
Lists'.instMembershipListsLists'
Nat.add_le_of_le_sub'
bernoulli_spec'
Real.sqrt_eq_zero'
RootPairing.ne_zero'
Asymptotics.IsBigOWith.pow'
Finset.range_add_one'
MvPolynomial.weightedHomogeneousComponent_eq_zero'
add_lt_of_lt_of_neg'
Nat.iSup_le_succ'
WithBot.coe_sSup'
add_neg_le_iff_le_add'
CategoryTheory.Functorial.map'
ite_eq_iff'
QuotientGroup.kerLift_mk'
ONote.split_eq_scale_split'
List.nthLe_rotate'
Seminorm.continuousAt_zero_of_forall'
Trivialization.proj_symm_apply'
Finsupp.sum_apply'
CategoryTheory.ShortComplex.SnakeInput.L₂'
ContinuousDiv.continuous_div'
Nat.prime_def_lt'
CategoryTheory.IsPullback.of_is_bilimit'
three_ne_zero'
Right.mul_lt_one'
Function.Bijective.of_comp_iff'
ComplexShape.down'
OrderDual.instAddAction'
AddSubmonoid.LocalizationMap.addEquivOfAddEquiv_mk'
Turing.TM2to1.Γ'
DivisionRing.zpow_neg'
Lean.Elab.Term.addAutoBoundImplicits'
div_lt_iff_of_neg'
BoundedOrderHom.map_bot'
CategoryTheory.ShortComplex.RightHomologyData.map_opcyclesMap'
ContDiffWithinAt.contDiffOn'
ContinuousLinearMap.coe_snd'
RatFunc.mk_one'
Nat.sq_mul_squarefree_of_pos'
MeasureTheory.setToFun_smul_left'
CauchyFilter.mem_uniformity'
MulChar.inv_apply'
BddAbove.convolutionExistsAt'
_private.Lean.Data.Json.Basic.0.Lean.Json.beq'
BoundedContinuousFunction.instBoundedSMulBoundedContinuousFunctionToPseudoMetricSpaceToSeminormedRingToSeminormedCommRingToNormedCommRingBoundedContinuousFunctionToPseudoMetricSpaceInstPseudoMetricSpaceBoundedContinuousFunctionInstPseudoMetricSpaceBoundedContinuousFunctionInstZeroBoundedContinuousFunctionToZeroToCommMonoidWithZeroToCommGroupWithZeroToSemifieldToFieldInstZeroBoundedContinuousFunctionToZeroToNegZeroClassToSubNegZeroMonoidToSubtractionMonoidToDivisionAddCommMonoidToAddCommGroupHasSMul'
Nat.count_succ'
Aesop.EqualUpToIds.Unsafe.levelsEqualUpToIdsCore'
CompleteLattice.independent_def'
ProbabilityTheory.IndepFun.mgf_add'
deriv_sqrt_mul_log'
div_left_inj'
MeasureTheory.IsFundamentalDomain.mk'
_private.Mathlib.Data.Multiset.Basic.0.Multiset.add_le_add_iff_left'
MeasureTheory.OuterMeasure.mono''
MeasureTheory.OuterMeasure.sInf_apply'
Bornology.cobounded'
List.rotate'
List.get_reverse'
Ideal.IsMaximal.isPrime'
RingFilterBasis.mul'
DFinsupp.mk'
CategoryTheory.Limits.PullbackCone.IsLimit.lift'
Mathlib.Tactic.Abel.NormalExpr.zero'
Lean.SMap.find?'
Relation.TransGen.lift'
ADEInequality.admissible_A'
Finset.map_filter'
IsInvariantSubring.coe_subtypeHom'
Ordnode.balanceL'
Polynomial.leadingCoeff_mul'
LinearMap.SeparatingLeft.toMatrix₂'
pow_add_pow_le'
CategoryTheory.eq_of_comp_right_eq'
Filter.HasBasis.eventuallyConst_iff'
ClosedIicTopology.isClosed_le'
symmDiff_eq_Xor'
CategoryTheory.shift_shift'
MeasureTheory.Integrable.congr'
MeasureTheory.integral_integral_sub'
two_ne_zero'
Perfection.coeff_iterate_frobenius'
LinearPMap.mem_graph_iff'
Asymptotics.isBigO_iff''
SetCoe.exists'
NonUnitalRingHom.map_zero'
CategoryTheory.IsPullback.inl_snd'
nnnorm_pow_le'
MeasureTheory.VectorMeasure.not_measurable'
Asymptotics.IsBigO.const_mul_right'
norm_image_sub_le_of_norm_deriv_le_segment'
List.ilast'
Continuous.surjective'
ContinuousLinearMap.NonlinearRightInverse.bound'
ContinuousLinearMap.op_norm_comp_le'
CategoryTheory.Functor.IsLocalization.mk'
HahnSeries.SummableFamily.finite_co_support'
ENNReal.ofReal_le_ofReal_iff'
AddSubmonoid.disjoint_def'
MeasureTheory.AEStronglyMeasurable.comp_ae_measurable'
Cubic.monic_of_c_eq_one'
PowerSeries.coeff_mul_X_pow'
Cardinal.mul_eq_max'
ofLex_smul'
_private.Mathlib.SetTheory.Game.PGame.0.SetTheory.PGame.add_le_add_right'
LinearMap.ker_eq_bot'
Submodule.isScalarTower'
ContractingWith.dist_fixedPoint_fixedPoint_of_dist_le'
bot_eq_one'
Filter.comap_eq_lift'
LinearMap.eqOn_span'
LowerSemicontinuous.add'
CategoryTheory.Adhesive.van_kampen'
polynomial_smul_apply'
CPolynomialOn_congr'
GeneralizedContinuedFraction.convergents'
CategoryTheory.BicartesianSq.isColimit'
Module.Projective.of_lifting_property'
TrivSqZeroExt.algebraMap_eq_inl'
Set.iUnion_mono''
IsIntegralClosure.algebraMap_mk'
finprod_mem_inter_mul_diff'
ProbabilityTheory.variance_smul'
Ordinal.brange_bfamilyOfFamily'
norm_toNNReal'
Fin.card_filter_univ_succ'
Metric.ball_eq_ball'
HasSum.matrix_blockDiag'
CategoryTheory.ExponentialIdeal.mk'
mem_nhdsWithin_Iic_iff_exists_Ioc_subset'
FirstOrder.Language.ElementarySubstructure.isElementary'
Int.div_add_mod'
CategoryTheory.ShortComplex.RightHomologyData.g'
MeasureTheory.Measure.ae_sum_iff'
CategoryTheory.NatTrans.id_app'
PiNotation.delabPi'
MvPolynomial.coeff_mul_monomial'
Turing.PartrecToTM2.pop'
rank_lt_rank_dual'
CircleDeg1Lift.map_add_one'
iSup_and'
Eq.cmp_eq_eq'
CategoryTheory.ShortComplex.LeftHomologyData.hπ'
AddEquiv.mk_coe'
CategoryTheory.MonoidalNatTrans.ext'
antisymm'
Nat.iInf_lt_succ'
ProbabilityTheory.IndepSets.indep'
PartialEquiv.trans_source''
UFModel.Agrees.get_eq'
coe_comp_nnnorm'
Set.Finite.exists_minimal_wrt'
compHausToCondensed'
inv_neg'
div_lt_div_left'
RatFunc.ofFractionRing_mk'
Metric.ball_subset_ball'
WeierstrassCurve.Affine.CoordinateRing.XYIdeal'
MeasureTheory.Submartingale.sum_mul_sub'
AdjoinRoot.powerBasis'
CharP.quotient'
Finset.prod_bij'
LinearOrderedCommGroupWithZero.zpow_succ'
map_extChartAt_nhdsWithin_eq_image'
measurable_of_isClosed'
Finset.Ico_union_Ico'
Nat.Ioo_eq_range'
ZMod.mod_four_ne_three_of_sq_eq_neg_sq'
fderivWithin_id'
BoundedSMul.dist_pair_smul'
rank_prod'
EquicontinuousAt.closure'
le_himp_iff'
List.map₂Right'
Polynomial.mul_scaleRoots'
OmegaCompletePartialOrder.id_continuous'
Submodule.mem_colon'
IsIntegral.minpoly_splits_tower_top'
MeasureTheory.Ioo_ae_eq_Icc'
MeasureTheory.IsFundamentalDomain.lintegral_eq_tsum'
Cardinal.lift_umax'
exists_pos_add_of_lt'
smul_add_smul_lt_smul_add_smul'
MeasureTheory.measure_union'
Filter.unbounded_of_tendsto_atBot'
Nat.lt_base_pow_length_digits'
Asymptotics.IsBigOWith.sup'
finsum_mem_finset_product'
_private.Mathlib.NumberTheory.Padics.Hensel.0.T_pow'
tendsto_ceil_left'
Finset.forall_mem_not_eq'
Fintype.card_of_finset'
List.append_inj'
Int.mul_div_assoc'
Submodule.Quotient.distribMulAction'
ZMod.cast_add'
IsLocalizedModule.mk'_smul_mk'
SetTheory.PGame.inv'
IsAbsoluteValue.abv_eq_zero'
Mathlib.Meta.List.range_zero'
MeasureTheory.integrable_withDensity_iff_integrable_smul'
WittVector.aeval_verschiebung_poly'
homology'
LieSubmodule.iSup_induction'
MvPFunctor.M.dest_eq_dest'
Finset.sum_apply'
Measurable.lintegral_kernel_prod_right''
UpperHalfPlane.ext'
Setoid.symm'
nhdsWithin_inter_of_mem'
CategoryTheory.ShortComplex.RightHomologyData.map_rightHomologyMap'
Std.Range.forIn'
Finset.measurable_sup'
Matrix.empty_val'
MulChar.pow_apply'
Denumerable.lower'
FiniteField.card'
Set.vaddCommClass_set'
MeasureTheory.condexpIndL1Fin_smul'
KaehlerDifferential.isScalarTower'
Action.inhabited'
continuousMultilinearCurryRightEquiv_symm_apply'
LinearMap.trace_eq_contract'
aemeasurable_of_tendsto_metrizable_ae'
Filter.extraction_of_frequently_atTop'
rank_dual_eq_card_dual_of_aleph0_le_rank'
Localization.algEquiv_symm_mk'
PartialEquiv.trans_refl_restr'
ULift.smulZeroClass'
MeasureTheory.IsAddFundamentalDomain.lintegral_eq_tsum''
Semiquot.blur'
smul_mul'
AddGroupFilterBasis.zero'
Subgroup.commutator_def'
ULift.isScalarTower''
Turing.PartrecToTM2.peek'
CategoryTheory.Limits.kernel.lift'
Set.nonempty_of_ssubset'
VAdd.comp.vaddCommClass'
toIcoDiv_sub_zsmul'
Polynomial.map_dvd_map'
StarAlgHom.coe_mk'
Convex.norm_image_sub_le_of_norm_fderiv_le'
HasQuotient.quotient'
IO.waitAny'
Filter.tendsto_iff_rtendsto'
AddSubmonoid.LocalizationMap.mk'
Filter.Germ.addAction'
gradient_const'
MeasureTheory.progMeasurable_of_tendsto'
Sublattice.infClosed'
Multiset.aestronglyMeasurable_prod'
PFunctor.M.agree_iff_agree'
ADEInequality.A'
iSup_range'
Fintype.prod_fiberwise'
Measurable.lintegral_prod_right'
CategoryTheory.shift_shift_neg'
BoundedLatticeHom.coe_comp_lattice_hom'
ProbabilityTheory.kernel.comap_apply'
Function.Embedding.inj'
FirstOrder.Language.Theory.CompleteType.subset'
MulAction.card_eq_sum_card_group_div_card_stabilizer'
AddSubsemigroup.closure_induction'
Matrix.toQuadraticForm'
Std.Tactic.casePatt'
List.mapM'
NormedSpace.exp_conj'
ProbabilityTheory.kernel.piecewise_apply'
LieModule.traceForm_apply_lie_apply'
Metric.cthickening_eq_iInter_thickening'
Matrix.kronecker_assoc'
IsROrC.I_im'
Polynomial.ringHom_ext'
Filter.Germ.coe_smul'
LinearMap.toMatrix_directSum_collectedBasis_eq_blockDiagonal'
MonoidHom.prod_map_comap_prod'
tsum_geometric_two'
CategoryTheory.Abelian.FunctorCategory.coimageImageComparison_app'
MeasureTheory.L1.SimpleFunc.integralCLM'
ENNReal.ofReal_mul'
Antitone.map_sInf_of_continuousAt'
Set.indicator_add'
MeasureTheory.VectorMeasure.measureOf'
Filter.HasBasis.mem_iff'
GradedMonoid.GMonoid.gnpow_zero'
PartialHomeomorph.contDiffWithinAt_extend_coord_change'
WCovBy.of_le_of_le'
IsPGroup.to_sup_of_normal_right'
Finset.le_sum_condensed'
iInf_range'
ciSup_le'
CategoryTheory.Limits.imageZero'
DivInvMonoid.div'
SemiRingCat.instSemiring'
ProbabilityTheory.kernel.restrict_apply'
Polynomial.splits_of_splits_mul'
BilinForm.toMatrix'
MeasureTheory.VectorMeasure.le_iff'
CategoryTheory.Abelian.coimageImageComparison'
List.length_range'
Function.support_neg'
_private.Mathlib.MeasureTheory.Decomposition.SignedHahn.0.MeasureTheory.SignedMeasure.restrictNonposSeq_disjoint'
ONote.NF.snd'
ne_zero_of_irreducible_X_pow_sub_C'
AlgebraicGeometry.IsOpenImmersion.hasLimit_cospan_forget_of_left'
Real.rpow_one_sub'
List.minimum?_eq_some_iff'
Ultrafilter.le_of_inf_neBot'
summable_of_isBigO_nat'
IntermediateField.algebra'
quadraticChar_sq_one'
Metric.cauchySeq_iff'
nhdsWithin_Iic_eq''
CategoryTheory.Limits.Types.limit_ext_iff'
MeasureTheory.L1.setToL1_eq_setToL1'
OmegaCompletePartialOrder.ScottContinuous.continuous'
compl_beattySeq'
MeasureTheory.L1.setToL1_add_left'
QuotientGroup.eq'
Subgroup.center_eq_infi'
MulAction.Quotient.mk_smul_out'
Filter.smulCommClass_filter''
AlgebraicGeometry.PresheafedSpace.stalkMap_germ'
mul_lt_iff_lt_one_left'
Finset.toDual_max'
hasDerivWithinAt_congr_set'
PNat.gcd_rel_left'
Primrec₂.unpaired'
LocalizedModule.algebra'
QPF.liftp_iff'
Lean.MVarId.tryClearMany'
Matrix.blockDiagonal_apply'
WeierstrassCurve.Affine.baseChange_addY'
Aesop.SearchM.run'
Cauchy.comap'
two_smul'
MeasureTheory.IsFundamentalDomain.lintegral_eq_tsum''
StrictConcaveOn.lt_on_open_segment'
le_inv'
RelSeries.fromListChain'
intervalIntegral.intervalIntegrable_rpow'
Quotient.hrecOn₂'_mk''
Multiset.stronglyMeasurable_sum'
Std.BitVec.zeroExtend'
MeasureTheory.locallyIntegrable_finset_sum'
Pi.orderClosedTopology'
Lean.Meta.mkForallFVars'
Profinite.NobelingProof.isClosed_C'
LinearIndependent.fin_cons'
CategoryTheory.ShortComplex.p_opcyclesMap'
Finset.erase_injOn'
SeminormedAddCommGroup.ofAddDist'
intermediate_value_Ioo'
Finset.orderEmbOfFin_unique'
iInf_prod'
MultilinearMap.norm_image_sub_le_of_bound'
NonUnitalStarSubalgebra.module'
Subgroup.smul_diff_smul'
AddEquiv.map_add'
CategoryTheory.ShortComplex.instIsIsoHRightHomologyMap'
BilinForm.nondegenerate_toBilin'_of_det_ne_zero'
RatFunc.induction_on'
CategoryTheory.MonoidalFunctor.prod'
image_norm_le_of_norm_deriv_right_le_deriv_boundary'
MeasureTheory.Measure.ext_of_Ico'
Matrix.GeneralLinearGroup.mk''
Finset.prod_nbij'
tendsto_of_tendsto_of_tendsto_of_le_of_le'
SetTheory.PGame.moveRightShort'
Polynomial.roots_ne_zero_of_splits'
Aesop.Options.toOptions'
MLList.fix?'
NeZero.ne'
Nat.ArithmeticFunction.mul_smul'
Lean.Meta.mkAppOptM'
ofDual_smul'
Finsupp.sum_smul_index'
Finset.measurable_range_sup'
Filter.eventuallyConst_set'
CategoryTheory.Limits.HasColimit.mk'
OrderIso.map_csSup'
IndepMatroid.ofFinset_indep'
MeasureTheory.condexpL1Clm_of_aestronglyMeasurable'
measurableSet_le'
pi_Iio_mem_nhds'
ONote.fastGrowing_zero'
SetTheory.PGame.LF.not_equiv'
QuadraticForm.posDef_toMatrix'
Nat.Prime.not_prime_pow'
smul_nonneg'
subset_interior_mul'
ContinuousLinearMap.coe_flipₗᵢ'
Subring.neg_mem'
AlgebraicGeometry.StructureSheaf.toBasicOpen_mk'
zero_mem_ℓp'
LinearEquiv.coe_toContinuousLinearEquiv_symm'
Computation.map_pure'
Filter.prod_map_map_eq'
PiTensorProduct.zero_tprodCoeff'
Subgroup.iSup_induction'
Polynomial.IsSplittingField.adjoin_rootSet'
ContinuousMultilinearMap.hasOpNorm'
MonoidHom.mk'
Finset.sum_dite_eq'
Field.qsmul_eq_mul'
ofLex_vadd'
PartialHomeomorph.prod_eq_prod_of_nonempty'
QuadraticForm.Isometry.map_app'
Filter.rcomap'
separated_def'
List.chain_lt_range'
Bornology.le_cofinite'
IsCompact.exists_open_superset_measure_lt_top'
Sym.inhabitedSym'
MeasureTheory.norm_set_integral_le_of_norm_le_const'
Ordnode.balance_eq_balance'
hasDerivWithinAt_inter'
CategoryTheory.IsCoreflexivePair.common_retraction'
Real.rpow_sub'
List.mapIdxMAux'
hasFDerivWithinAt_inter'
PosNum.succ'_pred'
Std.BitVec.adc'
IntermediateField.finInsepDegree_bot'
toIcoDiv_sub'
MeasureTheory.memℒp_finset_sum'
Lean.Expr.appFn!'
Aesop.time'
Convex.norm_image_sub_le_of_norm_fderivWithin_le'
Function.Periodic.mul_const'
SatisfiesM.seq_pre'
Nat.sqrt_lt'
one_le_pow_of_one_le'
Turing.Tape.move_left_mk'
Submodule.map_toAddSubmonoid'
ADEInequality.D'
Num.add_ofNat'
CategoryTheory.Prefunctor.mapPath_comp'
MeasureTheory.Measure.restrict_mono'
CategoryTheory.ShortComplex.LeftHomologyData.map_f'
Equiv.Perm.SameCycle.exists_pow_eq''
AlgebraicTopology.DoldKan.Γ₀'
inv_pos_le_iff_one_le_mul'
OrderRingHom.monotone'
IsCompact.elim_nhds_subcover'
Quotient.ind'
intervalIntegral.continuousOn_primitive_interval'
pow_le_pow_right_of_le_one'
Lean.Compiler.LCNF.ppDecl'
Mathlib.Tactic.BicategoryCoherence.BicategoricalCoherence.refl_hom'
PartialHomeomorph.EqOnSource.symm'
EllipticCurve.Δ'
CategoryTheory.ShortComplex.SnakeInput.functorL₂'
le_iSup'
CategoryTheory.Abelian.coimageImageComparison_eq_coimageImageComparison'
SimpleGraph.Subgraph.connected_iff'
List.support_formPerm_of_nodup'
Polynomial.leadingCoeff_multiset_prod'
AddSubmonoid.center.addCommMonoid'
Decidable.or_congr_left'
mul_le_of_le_of_le_one'
PartialEquiv.left_inv'
Pi.induced_precomp'
Equiv.Perm.sign_of_cycleType'
Finset.eq_of_mem_uIcc_of_mem_uIcc'
Fin.preimage_apply_01_prod'
RingHom.map_add'
tendsto_nhds_bot_mono'
Finset.coe_min'
Quiver.HasReverse.reverse'
Zsqrtd.Nonsquare.ns'
RingCon.add'
ClosureOperator.idempotent'
gcd_assoc'
Ico_mem_nhdsWithin_Ioi'
CategoryTheory.Limits.limit.homIso'
Set.indicator_eq_zero'
ULift.mulAction'
AbsoluteValue.add_le'
HomologicalComplex.d_comp_d'
EquivFunctor.map_trans'
eq_sub_iff_add_eq'
pow_card_eq_one'
SimpleGraph.Walk.nil'
CategoryTheory.Functor.inl_biprodComparison'
CategoryTheory.Adjunction.functorialityUnit'
IsAddGroupHom.zero_ker_neg'
lt_inv_iff_mul_lt_one'
Filter.mem_bind'
div_mul_cancel'
Metric.continuous_iff'
LocallyFiniteOrderTop.ofIci'
Matrix.toLinearMap₂'
exists_seq_of_forall_finset_exists'
Matrix.diagonal_ofNat'
Algebra.adjoin_induction'
ProbabilityTheory.lintegral_mul_eq_lintegral_mul_lintegral_of_indepFun'
peirce'
gcd_zero_left'
List.zipRight_eq_zipRight'
AddSubmonoid.mem_iSup_iff_exists_dfinsupp'
MeasureTheory.lintegral_mono_set'
MeasureTheory.integrable_prod_iff'
Lean.Elab.Term.withInfoContext'
CategoryTheory.LocalizerMorphism.IsLocalizedEquivalence.mk'
zpow_le_zpow'
AddCon.ext'
eqOn_closure₂'
IsPrimitiveRoot.nthRoots_one_eq_biUnion_primitiveRoots'
hasDerivAt_exp_smul_const_of_mem_ball'
LE.le.trans_lt'
Continuous.nnnorm'
mul_lt_of_le_of_lt_one'
Fin.val_zero'
AddSubsemigroup.iSup_induction'
Fin.append_elim0'
Num.cast_succ'
Finset.coe_inf'
CategoryTheory.ExactPairing.evaluation'
Subsemiring.coe_mk'
List.enum_cons'
HasDerivWithinAt.complexToReal_fderiv'
normalClosure_eq_iSup_adjoin'
Rat.add_def'
hasDerivAt_of_hasDerivAt_of_ne'
AddSubgroup.mem_sup'
ZMod.nat_cast_eq_nat_cast_iff'
HasGradientAt.hasDerivAt'
Filter.HasBasis.prod_nhds'
Primrec.vector_ofFn'
AddSubgroup.IsComplement'
TopologicalSpace.Opens.map_functor_eq'
Pi.distribMulAction'
toIcoMod_add_left'
ContinuousMonoidHom.mk'
Submonoid.toAddSubmonoid'
cardinal_lift_le_rank_of_linearIndependent'
RatFunc.mk_eq_div'
Subring.coe_mk'
SmoothMap.module'
ContinuousAt.fst'
Function.mulSupport_one_add'
segment_eq_image'
Mathlib.Tactic.Rewrites.rewrites'
Module.AEval'
PolynomialModule.isScalarTower'
AlgebraicGeometry.IsOpenImmersion.hasLimit_cospan_forget_of_right'
Ordnode.Raised.dist_le'
ModuleCat.instModuleαAddCommGroupMkOfSMul'ToSemiringToAddCommMonoidInstAddCommGroupαMkOfSMul'
FirstOrder.Language.DirectLimit.funMap_quotient_mk'_sigma_mk'
Cubic.leadingCoeff_of_c_ne_zero'
Filter.tendsto_id'
preimage_nhdsWithin_coinduced'
Lean.Expr.getArgD'
NonUnitalSubring.closure_induction'
Polynomial.mem_aroots'
MulAction.right_quotientAction'
EReal.add_lt_add_of_lt_of_le'
Subtype.preimage_coe_compl'
List.get_splitWrtComposition'
ProbabilityTheory.iIndep.iIndepSets'
CategoryTheory.Limits.Cofork.IsColimit.mk'
ContinuousOn.exists_isMinOn'
AkraBazziRecurrence.dist_r_b'
Nat.pow_dvd_pow_iff_le_right'
IsGroupHom.inv_ker_one'
AddValuation.map_lt_sum'
Finset.prod_lt_prod'
Function.Injective.of_comp_iff'
Nat.pow_lt_ascFactorial'
lipschitzWith_one_nnnorm'
Embedding.mk'
Lean.Elab.withInfoContext'
RingSeminorm.mul_le'
PFunctor.M.Agree'
RingCon.smulCommClass'
PrimeMultiset.prod_dvd_iff'
ProbabilityTheory.kernel.set_lintegral_deterministic'
NzsNum.drec'
Filter.iInf_sets_eq_finite'
PartialEquiv.map_source'
MeasureTheory.Integrable.bdd_mul'
ConvexOn.le_left_of_right_le''
Int.even_or_odd'
tendsto_nhds_unique'
Lean.parseImports'
Complex.rank_real_complex'
PFun.ext'
CategoryTheory.Limits.biprod.braiding'
RegularNormedAlgebra.isometry_mul'
ZeroAtInftyContinuousMap.zero_at_infty'
Pretrivialization.continuousLinearMap_symm_apply'
norm_mul_le'
CategoryTheory.Limits.PushoutCocone.IsColimit.desc'
linearIndependent_option'
OrderDual.instIsScalarTower'
SlashInvariantForm.slash_action_eqn'
Equiv.sum_comp'
Homotopy.nullHomotopy'
Sym2.sym2EquivSym'
Turing.PartrecToTM2.instDecidableEqΓ'
List.Perm.swap'
tsum_const_smul'
intervalIntegral.integral_comp_mul_deriv''
neg_add'
SetCoe.forall'
existsUnique_zsmul_near_of_pos'
iInf₂_mono'
mul_div_cancel'''
FreeGroup.map.id'
div_le_div_iff'
Ioc_mem_nhdsWithin_Iio'
IsLUB.exists_between_sub_self'
Complex.ofReal'
continuous_if'
MeasureTheory.upperCrossingTime_zero'
Filter.smulCommClass_filter'
StrictMonoOn.mul_monotone'
Mathlib.Tactic.BicategoryCoherence.exception'
Rat.numDenCasesOn'
Nat.le_sub_of_add_le'
Finset.prod_fiberwise'
norm_le_insert'
linearIndependent_inl_union_inr'
exists_one_lt'
one_lt_zpow'
_private.Mathlib.Analysis.InnerProductSpace.OfNorm.0.InnerProductSpaceable.add_left_aux4'
Small.mk'
derivWithin_pow'
isSquare_of_charTwo'
Finset.induction_on'
extChartAt_target_mem_nhdsWithin'
iteratedFDerivWithin_add_apply'
CategoryTheory.Limits.isColimitMapCoconeCoforkEquiv'
multiplicity.pow'
ENNReal.toReal_eq_toReal_iff'
Encodable.mem_decode₂'
String.LT'
div_lt_div_iff'
differentiableAt_id'
Gamma1_mem'
ENorm.map_smul_le'
List.toAssocList'
_private.Mathlib.Order.BooleanAlgebra.0.sdiff_le'
Matrix.mem_orthogonalGroup_iff'
LinearEquiv.apply_smulCommClass'
AlgebraicGeometry.SheafedSpace.IsOpenImmersion.hasLimit_cospan_forget_of_right'
Ordnode.dual_balance'
MeasureTheory.setToFun_mono_left'
smul_lt_smul_of_le_of_lt'
AdjoinRoot.algebraMap_eq'
pow_three'
nnnorm_algebraMap'
Finsupp.mapRange_add'
Stream'.corec'
Finset.noncommSum_insert_of_not_mem'
norm_le_norm_add_const_of_dist_le'
OnePoint.continuousAt_infty'
Fin.find_min'
AddGroupWithOne.zsmul_neg'
inv_le_div_iff_le_mul'
isLocalizedModule_iff_isLocalization'
MeasureTheory.Measure.ae_mono'
Polynomial.mem_rootSet'
HomologicalComplex.imageToKernel_as_boundariesToCycles'
PartialEquiv.trans'
LT.lt.trans_le'
Turing.ToPartrec.Code.zero'
ContinuousOn.circleIntegrable'
Fin.partialSum_succ'
ContinuousMap.curry'
AddLocalization.mk_eq_addMonoidOf_mk'
CategoryTheory.Localization.Lifting.iso'
deriv.lhopital_zero_nhds'
Int.mul_ediv_assoc'
IsLocalization.algEquiv_symm_mk'
LowerSet.lower'
MulSemiringActionHom.coe_fn_coe'
MeasureTheory.uniformIntegrable_of'
continuousMultilinearCurryRightEquiv'
Int.negSucc_mul_ofNat'
eq_div_iff_mul_eq''
WType.cardinal_mk_le_max_aleph0_of_finite'
AdjoinRoot.powerBasisAux'
le_separableClosure'
ConvexOn.smul_concaveOn'
Nat.ofDigits_modEq'
CyclotomicField.algebra'
MeasureTheory.Lp.ae_eq_zero_of_forall_set_integral_eq_zero'
SkyscraperPresheafFunctor.map'
Homotopy.nullHomotopicMap'
HasDerivAtFilter.hasGradientAtFilter'
Equiv.Perm.sum_comp'
Monotone.map_sSup_of_continuousAt'
IsOpen.ae_eq_zero_of_integral_smooth_smul_eq_zero'
Matrix.ker_diagonal_toLin'
Prod.map_snd'
Ordnode.balanceR_eq_balance'
Pretrivialization.apply_symm_apply'
Option.map_id''
lipschitzWith_one_norm'
NNReal.rpow_sub'
norm_le_norm_add_norm_div'
zero_pow'
Int.ModEq.add_left_cancel'
List.findM?'
LieSubalgebra.lie_mem'
Prod.nnnorm_def'
Set.Icc_union_Ici'
Monotone.map_iInf_of_continuousAt'
OpenAddSubgroup.isOpen'
Nat.decreasingInduction_succ'
or_comm'
StieltjesFunction.right_continuous'
WithBot.bot_lt_mul'
norm_le_zero_iff'''
DivisionSemiring.zpow_zero'
stereographic'
jacobiSym.quadratic_reciprocity_one_mod_four'
List.zipRight'
List.get_append_right'
CategoryTheory.FinitaryExtensive.van_kampen'
ZMod.nat_cast_self'
WType.cardinal_mk_le_of_le'
Stream'.take_succ'
Finset.exists_one_lt_of_prod_one_of_exists_ne_one'
PowerSeries.coeff_X_pow_mul'
Matrix.cons_val'
symmDiff_eq'
uniformContinuous_nnnorm'
continuousOn_piecewise_ite'
Ordnode.attach'
MvPolynomial.weightedTotalDegree'
CategoryTheory.Limits.Multicoequalizer.multicofork_ι_app_right'
Finset.min'_lt_of_mem_erase_min'
Function.Periodic.sub_eq'
Monoid.exponent_eq_iSup_orderOf'
Mathlib.Tactic.BicategoryCoherence.BicategoricalCoherence.right_hom'
SchwartzMap.le_seminorm'
MeasureTheory.restrict_withDensity'
Aesop.Options'
EMetric.diam_pos_iff'
instMonadFinallyStateRefT'
DenseInducing.extend_eq'
Equiv.Perm.isoCycle'
finprod_mem_mul_distrib'
LinearEquiv.toModuleIso'
Quot.recOn'
CategoryTheory.Preadditive.mono_iff_injective'
VitaliFamily.ae_tendsto_lintegral_div'
Set.Intersecting.isUpperSet'
OrderDual.instVAdd'
CategoryTheory.ShortComplex.hasLeftHomology_of_epi_of_isIso_of_mono'
intervalIntegral.intervalIntegrable_cpow'
Basis.le_span''
AffineBasis.tot'
EuclideanGeometry.mem_sphere'
Ssyt.row_weak'
CategoryTheory.Limits.ImageMap.mk.injEq'
ContinuousOn.sup'
Num.cast_zero'
MeasureTheory.SimpleFunc.extend_apply'
or_assoc'
contMDiffOn_iff_of_mem_maximalAtlas'
UniqueMDiffWithinAt.smooth_bundle_preimage'
instCategoryLightProfinite'
TopologicalAddGroup.of_nhds_zero'
Nat.mem_smoothNumbers'
CochainComplex.shiftFunctor_map_f'
Lean.PersistentHashMap.insert'
Mathlib.Meta.List.range_succ_eq_map'
ContinuousLinearMap.coe_id'
StrictAntiOn.mul_const'
ModuleFilterBasis.topology'
nhdsWithin_restrict'
Polynomial.coeff_restriction'
Perfection.coeff_pow_p'
HasFPowerSeriesOnBall.uniform_geometric_approx'
Multiset.aestronglyMeasurable_sum'
Set.Iic_mul_Iic_subset'
IntermediateField.isScalarTower_mid'
Option.elim'
AddOpposite.rec'
IsLocalization.algEquiv_mk'
comap_norm_atTop'
Subfield.inv_mem'
OrderedSMul.mk'
MeasureTheory.integral_Ioc_eq_integral_Ioo'
PartENat.toWithTop_natCast'
EMetric.mem_closedBall'
ContinuousLinearMap.applySMulCommClass'
nnnorm_le_insert'
CategoryTheory.Limits.Pi.map_comp_map'
GradedMonoid.GMonoid.gnpow_succ'
norm_smul_inv_norm'
Continuous.snd'
Submodule.traceDual_top'
Finset.isLeast_min'
map_finset_inf'
StateRefT'.instMonadLiftStateRefT'
iInf_and'
Asymptotics.isBigO_iff'
Rat.mul_def'
MulSemiringActionHom.map_one'
Int.emod_add_ediv'
LowerAdjoint.gc'
QuotientGroup.congr_mk'
Module.projective_def'
IsPrimitiveRoot.zmodEquivZPowers_symm_apply_zpow'
continuous_neg'
AddSubmonoid.LocalizationMap.mk'_eq_iff_eq'
isComplete_iff_ultrafilter'
ForIn'.forIn'
Nat.cast_pos'
CompHaus.isSheaf_iff_preservesFiniteProducts_and_equalizerCondition'
Finsupp.prod_ite_eq'
Filter.univ_mem'
CategoryTheory.Limits.wideEqualizer.lift'
Fin.size_pos'
BilinForm.mul_toMatrix'
Polynomial.natDegree_multiset_prod'
Localization.mulEquivOfQuotient_mk'
WeierstrassCurve.Affine.CoordinateRing.instAlgebraCoordinateRing'
jacobiSym.quadratic_reciprocity'
CompactExhaustion.subset_interior_succ'
FractionalIdeal.coeIdeal_le_coeIdeal'
PNat.XgcdType.reduce_isSpecial'
TopCat.Presheaf.germ_stalkSpecializes'
LinearIndependent.map'
isBounded_iff_forall_norm_le'
isField_of_isIntegral_of_isField'
ProbabilityTheory.gaussianReal_absolutelyContinuous'
inv_lt_inv'
gcd_one_left'
ContractingWith.efixedPoint_eq_of_edist_lt_top'
MeasureTheory.lowerCrossingTime_stabilize'
CategoryTheory.Limits.HasImageMap.mk'
IntermediateField.sepDegree_bot'
Function.mulSupport_add_one'
List.last'
WittVector.RecursionBase.solution_spec'
Filter.tendsto_atTop'
tendsto_norm'
FractionalIdeal.inv_zero'
ConvexOn.smul''
PartENat.toWithTop_zero'
Finset.prod_product_right'
Finset.Colex.toColex_sdiff_le_toColex_sdiff'
CategoryTheory.Limits.biproduct.map'
Path.target'
RingEquiv.map_mul'
AffineIsometryEquiv.coe_mk'
Finset.image_add_left'
CategoryTheory.Limits.Types.Limit.lift_π_apply'
IsKleinFour.mulEquiv'
Measurable.comp'
div_add'
cauchy_iff'
SimplexCategory.δ_comp_σ_succ'
MeasureTheory.AECover.integrable_of_lintegral_nnnorm_tendsto'
NormedAddCommGroup.ofAddDist'
Complex.ofReal_mul'
div_div_self'
sum_bernoulli'
WittVector.idIsPolyI'
Matrix.mul_apply'
Filter.mem_inf_principal'
iInf_le'
RatFunc.liftAlgHom_apply_div'
ContractingWith.efixedPoint_isFixedPt'
CategoryTheory.ShortComplex.RightHomologyMapData.ofEpiOfIsIsoOfMono'
SimplicialObject.Splitting.isColimit'
Ordinal.familyOfBFamily'
LinearMap.trace_transpose'
ContDiffWithinAt.insert'
Mathlib.Tactic.Coherence.MonoidalCoherence.left'
Ideal.isPrime_ideal_prod_top'
Set.preimage_id'
toIcoDiv_add_right'
StieltjesFunction.mono'
Mathlib.Tactic.BicategoryCoherence.BicategoricalCoherence.right'_hom'
Filter.atBot_basis'
PiTensorProduct.induction_on'
MeasureTheory.VectorMeasure.empty'
Subsemiring.center.commSemiring'
AddMonoidAlgebra.ringHom_ext'
OrderDual.continuousConstVAdd'
segment_eq_Icc'
Submodule.mem_ideal_smul_span_iff_exists_sum'
Commensurable.commensurator'
Ultrafilter.map_id'
WellFounded.quotient_liftOn₂'
NormedAddGroupHom.norm_comp_le_of_le'
OrderClosedTopology.isClosed_le'
Ordinal.lt_nmul_iff₃'
linearIndependent_iff''
birkhoffAverage_congr_ring'
LieSubmodule.Quotient.surjective_mk'
CategoryTheory.ShortComplex.epi_homologyMap_of_epi_cyclesMap'
Turing.tr_eval'
ContinuousLinearMap.op_norm_le_of_shell'
ZMod.cast_one'
UniqueMDiffWithinAt.inter'
MeasureTheory.norm_indicatorConstLp'
Filter.sInf_neBot_of_directed'
Submodule.coe_subtypeL'
MeasurePreservingQuotientAddGroup.mk'
MeasureTheory.snorm'_const'
Turing.TM1to1.trTape'
PosNum.div'
ContinuousLinearEquiv.comp_hasFDerivWithinAt_iff'
Matrix.one_apply_ne'
List.foldl_eq_foldr'
CategoryTheory.DifferentialObject.eqToHom_f'
TensorProduct.isPushout'
Metric.closure_eq_iInter_cthickening'
CategoryTheory.Functor.initial_of_comp_full_faithful'
Pell.eq_of_xn_modEq'
List.forIn'
Vector.prod_set'
Vector.removeNth_insertNth'
Fin2.cases'
CategoryTheory.ShortComplex.instIsIsoHLeftHomologyMap'
Std.BitVec.extractLsb'
interior_sphere'
Set.mulIndicator_div'
SchwartzMap.decay'
Real.surjOn_log'
LinearMap.disjoint_ker'
FiberBundle.mem_baseSet_trivializationAt'
Order.Ideal.IsMaximal.isCoatom'
Equiv.Perm.isCycle_of_prime_order''
Ordinal.nmul_le_iff₃'
Filter.HasBasis.lift'
Set.eval_preimage'
_private.Mathlib.GroupTheory.SchurZassenhaus.0.Subgroup.exists_right_complement'_of_coprime_aux'
Part.map_id'
Cubic.of_b_eq_zero'
Fin.elim0'
MeasureTheory.integrable_finset_sum'
IsArtinian.wellFounded_submodule_lt'
Finset.sum_condensed_le'
CategoryTheory.additive_yonedaObj'
RingCat.instRing'
norm_eq_zero'''
MeasureTheory.OuterMeasure.mono'
hasDerivAt_of_tendsto_locally_uniformly_on'
Fin.sum_congr'
CategoryTheory.IsIso.of_epi_section'
ModuleCat.instAddCommGroupαMkOfSMul'
Fin.insertNth_zero'
lt_of_pow_lt_pow'
IsIntegralClosure.algebraMap_injective'
MeasureTheory.measure_lt_top_of_isCompact_of_isAddLeftInvariant'
mem_minimals_iff_forall_lt_not_mem'
Polynomial.trailingDegree_mul'
continuousMultilinearCurryRightEquiv_apply'
HomologicalComplex.cycles'
finrank_real_complex_fact'
Matrix.diagonal_toLin'
Cardinal.lt_univ'
List.isRotated_singleton_iff'
HomologicalComplex.sc'
fderivWithin_congr_set'
CategoryTheory.MorphismProperty.ContainsIdentities.id_mem'
continuousAt_iff_continuous_left'_right'
AddSubsemigroup.toSubsemigroup'
CliffordAlgebra.star_def'
List.zipLeft'
exists_eq_right_right'
smoothWithinAt_finset_prod'
Nat.pow_add'
Pi.continuousMul'
FixedPoints.minpoly.eval₂'
CategoryTheory.Limits.biproduct.map_eq_map'
Nat.Primrec'
Prod.isometricVAdd''
Nat.pred_lt'
symmDiff_symmDiff_right'
differentiableAt_inv'
_private.Mathlib.NumberTheory.Rayleigh.0.Beatty.hit_or_miss'
OmegaCompletePartialOrder.ContinuousHom.forall_forall_merge'
Asymptotics.IsBigOWith.congr'
lift_rank_lt_rank_dual'
TopCat.GlueData.MkCore.t'
Monotone.map_finset_min'
CategoryTheory.comp_apply'
ContinuousOn.exists_forall_le'
Finset.insert_sdiff_insert'
norm_le_norm_add_norm_sub'
Mathlib.Tactic.BicategoryCoherence.BicategoricalCoherence.left_hom'
Ideal.isPrime_of_isPrime_prod_top'
Algebra.IsAlgebraic.bijective_of_isScalarTower'
div_le_one'
MeasureTheory.setToFun_measure_zero'
CategoryTheory.Limits.limLax_obj'
contractLeft_assoc_coevaluation'
le_iff_exists_add'
Equiv.sigmaCongrLeft'
LatticeHom.coe_comp_inf_hom'
List.drop_left'
Set.smulCommClass_set''
Lex.instPow'
MeasureTheory.IsAddFundamentalDomain.lintegral_eq_tsum'
Nat.mem_factors'
Finset.Nat.sum_antidiagonal_succ'
Set.iUnion_iUnion_eq'
Group.IsNilpotent.nilpotent'
Order.Ideal.nonempty'
Set.Finite.induction_on'
Finset.prod_pi_mulSingle'
SetTheory.PGame.Equiv.not_fuzzy'
Localization.liftOn₂_mk'
_private.Lean.Elab.Tactic.Basic.0.Lean.Elab.Tactic.TacticM.runCore'
Turing.Reaches₀.tail'
HomologicalComplex.descOpcycles'
TrivSqZeroExt.algHom_ext'
MeasureTheory.SimpleFunc.measurableSet_fiber'
IsAddGroupHom.mk'
interior_Ici'
Polynomial.support_binomial'
volume_regionBetween_eq_lintegral'
Equiv.Perm.swap_induction_on'
CharP.exists'
Cardinal.lift_mk_shrink''
SmoothManifoldWithCorners.mk'
finsum_mem_add_distrib'
Multiset.stronglyMeasurable_prod'
AlgHom.mk'
Finset.Ico_mul_Icc_subset'
ModuleCat.toHomology'
TensorProduct.ext'
IsDedekindDomain.HeightOneSpectrum.valuation_of_mk'
CategoryTheory.Pretriangulated.Opposite.mem_distinguishedTriangles_iff'
AlgebraicGeometry.IsAffineOpen.isLocalization_stalk'
eq_one_of_inv_eq'
Module.Projective.of_lifting_property''
Matrix.exists_mulVec_eq_zero_iff'
Polynomial.hasSMulPi'
LatticeHom.withBot'
Set.Ico_union_Ico'
WithBot.unbot_one'
MvPolynomial.induction_on''
CanonicallyLinearOrderedSemifield.zpow_succ'
integrableOn_Icc_iff_integrableOn_Ioc'
IsUnifLocDoublingMeasure.exists_measure_closedBall_le_mul'
Ctop.Realizer.ext'
iter_deriv_zpow'
ContMDiffWithinAt.comp'
_private.Mathlib.FieldTheory.Extension.0.IntermediateField.exists_algHom_adjoin_of_splits''
Finset.sum_neg'
ENNReal.cancel_of_lt'
_private.Mathlib.Algebra.Module.LocalizedModule.0.LocalizedModule.nsmul_succ'
StructureGroupoid.LocalInvariantProp.liftPropWithinAt_inter'
StrictAnti.ite'
EllipticCurve.coe_inv_baseChange_Δ'
_private.Mathlib.Computability.Primrec.0.list_foldl'
Function.mulSupport_subset_iff'
ContinuousLinearMap.coe_comp'
_private.Mathlib.Order.BooleanAlgebra.0.sdiff_sup_self'
IsCoprime.isUnit_of_dvd'
max_mul_mul_le_max_mul_max'
lt_mul_of_lt_of_one_le'
ContractingWith.tendsto_iterate_efixedPoint'
div_le_iff'
Finset.inf'_sup_inf'
Filter.hasBasis_iInf_of_directed'
AbsoluteValue.IsEuclidean.map_lt_map_iff'
ProbabilityTheory.mgf_zero'
Submodule.smul_mem_iff'
_regBuiltin.Lean.Elab.Tactic.evalRefine'
SymplecticGroup.mem_iff'
Path.source'
IsGroupHom.one_ker_inv'
AddLocalization.addEquivOfQuotient_mk'
le_div_iff_mul_le'
IsDedekindDomain.HeightOneSpectrum.IntValuation.map_zero'
MonoidHom.compHom'
Set.image_add_right'
OrderIso.mulLeft₀'
MeasureTheory.Measure.FiniteSpanningSetsIn.mono'
HasStrictFDerivAt.mul_const'
IsLinearMap.mk'
Set.Ioo_union_Ioo'
ForInStep.bindList_cons'
CategoryTheory.Limits.IsLimit.homIso'
CategoryTheory.Limits.Sigma.map_comp_map'
SimpleGraph.Walk.IsPath.mk'
measurable_findGreatest'
Nat.ArithmeticFunction.sum_eq_iff_sum_smul_moebius_eq_on'
NNReal.Lp_add_le_tsum'
intervalIntegral.integral_comp_mul_deriv'
MeasureTheory.Submartingale.upcrossings_ae_lt_top'
CategoryTheory.shiftComm'
AdjoinRoot.coe_injective'
Finset.sum_finset_product'
Nat.Primrec.casesOn'
div_lt_one'
zero_lt_four'
CommRingCat.equalizer_ι_is_local_ring_hom'
ContinuousLinearMap.norm_extendTo𝕜'
finprod_mem_union_inter'
Measurable.ennreal_tsum'
HasSum.update'
Con.coe_mk'
MeasureTheory.withDensityᵥ_smul'
_private.Mathlib.RingTheory.OreLocalization.Basic.0.OreLocalization.add''
WithTop.mul_top'
Filter.mem_rcomap'
FreeAddMagma.traverse_pure'
Finset.Iic_mul_Iio_subset'
Set.iInter_iInter_eq'
summable_star_iff'
ProbabilityTheory.variance_def'
Set.indicator_diff'
MeasureTheory.L1.setToL1'
Set.image2_congr'
CategoryTheory.Limits.preservesBiproductOfEpiBiproductComparison'
OrderDual.instSMulWithZero'
DivisionRing.zpow_zero'
Finset.measurable_sum'
Cardinal.mk_finsupp_lift_of_infinite'
AlgEquiv.coe_restrictScalars'
Polynomial.derivative'
Ordnode.all_balance'
Set.fintypeInsert'
MeasureTheory.integral_Icc_eq_integral_Ico'
Finset.prod_eq_one_iff_of_le_one'
CategoryTheory.Limits.Fork.IsLimit.lift_ι'
_private.Mathlib.Util.CompileInductive.0.Mathlib.Util.addAndCompile'
nhdsWithin_Ioi_basis'
ContinuousAt.norm'
Finset.prod_image'
MeasureTheory.unifIntegrable_of'
NormedDivisionRing.norm_mul'
finsum_def'
QPF.Wequiv.abs'
MeasureTheory.OuterMeasure.mkMetric'
essSup_mono_measure'
finsum_mem_insert'
IntermediateField.finSepDegree_bot'
nnnorm_eq_zero'
not_bddBelow_iff'
nnnorm_le_pi_nnnorm'
estimator'
Quotient.hrecOn'
SubNegMonoid.sub'
ContinuousLinearMap.coe_pi'
Filter.Tendsto.atTop_mul_const'
WeierstrassCurve.Affine.nonsingular_iff'
nndist_nnnorm_nnnorm_le'
Polynomial.aeval_eq_sum_range'
unitInterval.nonneg'
Pi.vadd'
Polynomial.leadingCoeff_add_of_degree_lt'
Mathlib.Tactic.BicategoryCoherence.BicategoricalCoherence.left'_hom'
DoubleCentralizer.norm_def'
StarConvex.sub'
SmoothPartitionOfUnity.nonneg'
contDiffWithinAt_succ_iff_hasFDerivWithinAt'
Nat.coprime_of_dvd'
BoundedContinuousFunction.dist_le_two_norm'
MeasureTheory.HasPDF.pdf'
Asymptotics.isLittleO_const_mul_left_iff'
Std.RBNode.lowerBound?_le'
Part.fix_def'
Real.deriv_log'
IsPrimitiveRoot.integralPowerBasis'
Polynomial.degree_cyclotomic'
AlternatingMap.map_eq_zero_of_eq'
Finset.coe_max'
Ring.zsmul_succ'
AlgebraicGeometry.ProjectiveSpectrum.StructureSheaf.SectionSubring.zeroMem'
Computability.encodingNatΓ'
min_add_distrib'
AEMeasurable.add'
QuotientAddGroup.btw_coe_iff'
Algebra.fg_trans'
Polynomial.coeff_zero_eq_aeval_zero'
LinearIndependent.to_subtype_range'
ContinuousLinearEquiv.comp_right_hasFDerivWithinAt_iff'
Submodule.pow_induction_on_right'
Order.not_isSuccLimit_iff'
List.attach_map_coe'
MeasureTheory.lmarginal_union'
List.getLast_append'
IsCompact.elim_nhds_subcover_nhdsSet'
Associates.unique'
Module.Free.of_subsingleton'
MLList.runState'
AlgebraicGeometry.PresheafedSpace.GlueData.snd_invApp_t_app'
NonUnitalSubalgebra.instIsScalarTower'
AddSubmonoid.LocalizationMap.mk'_self'
Multiset.antidiagonal_coe'
bit1_nsmul'
HomologicalComplex.shortComplexFunctor'
Cardinal.aleph0_le_mul_iff'
Nat.mul_lt_mul_of_le_of_lt'
PartitionOfUnity.nonneg'
ENNReal.biSup_add'
IsScalarTower.subalgebra'
Filter.Tendsto.nnnorm'
Set.Finite.toFinset_insert'
top_symmDiff'
Quotient.mk'
CategoryTheory.ShortComplex.RightHomologyData.ofIsLimitKernelFork_g'
CochainComplex.mk'
lp.eq_zero'
Gamma1'
smoothOn_finset_sum'
CompositionAsSet.lt_length'
CochainComplex.shiftFunctor_obj_d'
LT.lt.trans_eq'
CategoryTheory.MorphismProperty.LeftFraction.ofHom_Y'
List.takeI_left'
MeasureTheory.lintegral_const_mul'
VectorBundle.trivialization_linear'
iteratedDeriv_succ'
RingEquiv.mk_coe'
TypeVec.toSubtype'_of_subtype'
AddCircle.addOrderOf_div_of_gcd_eq_one'
Ideal.mem_span_insert'
MvPolynomial.monomial_zero'
MeasurableEmbedding.measurableSet_image'
nhdsWithin_restrict''
MonoidHom.functions_ext'
IsLocalizedModule.mk_eq_mk'
Matrix.Nondegenerate.toBilin'
ApplicativeTransformation.preserves_pure'
AddMonoidAlgebra.nonUnitalAlgHom_ext'
Polynomial.scaleRoots_dvd'
Fin.castSucc_eq_zero_iff'
MulAction.mem_fixedPoints'
OrderMonoidHom.monotone'
Lean.Meta.Hypothesis'
iSup_mono'
Function.periodicOrbit_chain'
Hyperreal.isSt_st'
Set.iInter_mono''
NormedAddGroup.ofAddDist'
Set.mulIndicator_eq_one'
Icc_mem_nhdsWithin_Ici'
Even.zsmul'
CommGroupWithZero.zpow_zero'
MeasureTheory.Measure.toSphere_apply'
Matrix.pow_inv_comm'
mdifferentiableWithinAt_inter'
Complex.affine_of_mapsTo_ball_of_exists_norm_dslope_eq_div'
FormalMultilinearSeries.order_eq_find'
MeasureTheory.tilted_neg_same'
CategoryTheory.Functor.pi'
HasFDerivWithinAt.congr'
Subsemigroup.toAddSubsemigroup'
QuotientGroup.map_mk'
AffineIsometryEquiv.dist_pointReflection_self'
PNat.factorMultiset_le_iff'
NonUnitalStarSubalgebra.toNonUnitalSubalgebra'
Prod.Lex.right'
MeasureTheory.tendstoUniformlyOn_of_ae_tendsto'
MeasureTheory.ae_lt_top'
Order.Ideal.directed'
Stream'.drop_tail'
List.replicate_right_inj'
SimplexCategory.δ_comp_δ_self'
BoxIntegral.Box.coe_mk'
Summable.matrix_blockDiag'
Localization.mk_eq_mk_iff'
AlgebraicGeometry.ProjectiveSpectrum.StructureSheaf.SectionSubring.addMem'
lt_of_lt_of_le'
TopologicalSpace.OpenNhds.map_id_obj'
mem_closedBall_iff_norm'''
AddMonoidHom.toMultiplicative'
CategoryTheory.FinitaryPreExtensive.universal'
FiberBundleCore.open_source'
List.zipLeft_eq_zipLeft'
Function.update_comp_eq_of_injective'
List.prod_range_succ'
Multiset.attach_map_val'
Lean.Parser.ParserState.next'
IntermediateField.normalClosure_def'
ONote.nf_repr_split'
MeasureTheory.integral_sub'
FiniteDimensional.finiteDimensional_pi'
Orientation.kahler_rotation_left'
DirectSum.GSemiring.gnpow_succ'
LinearMap.mul'
MeasureTheory.integral_divergence_of_hasFDerivWithinAt_off_countable'
Matrix.zpow_bit0'
StateRefT'.instMonadStateRefT'
AlgHom.restrictNormal'
IsPathConnected.image'
Polynomial.eval₂AlgHom'
AddTorsor.vadd_vsub'
Aesop.TreeM.run'
Finset.vaddAssocClass''
CategoryTheory.ShortComplex.quasiIso_iff_isIso_homologyMap'
Quotient.inductionOn₂'
List.nthLe_reverse'
Fintype.prod_mono'
MeasureTheory.Measure.addHaar_closedBall'
WithBot.unbot'
Lean.HashMap.insert'
Mathlib.Meta.NormNum.instInhabitedResult'
Projectivization.mk_eq_mk_iff'
MulRingNorm.eq_zero_of_map_eq_zero'
Submodule.coe_continuous_linearProjOfClosedCompl'
Fin.cast_eq_cast'
Matrix.PosDef.of_toQuadraticForm'
measurable_to_countable'
contMDiffAt_finset_prod'
SmoothPartitionOfUnity.sum_eq_one'
Int.ediv_neg'
Matrix.toLinearMap₂'_apply'
CategoryTheory.Limits.preservesKernelZero'
Matroid.Base.exchange_base_of_indep'
CompleteLattice.Independent.comp'
OrderDual.instSMul'
NonUnitalStarAlgHom.map_star'
measurable_sub_const'
NonUnitalSubring.coe_mk'
LieSubmodule.Quotient.toEndomorphism_comp_mk'
norm_pow_le'
MeasureTheory.withDensityᵥ_neg'
ContinuousLinearMap.coe_neg'
toIocDiv_sub_zsmul'
HahnSeries.SummableFamily.isPWO_iUnion_support'
eq_sub_of_add_eq'
UFModel.Agrees.mk'
Ring.zsmul_zero'
Matrix.det_apply'
Std.BitVec.getLsb'
Nat.le_sub_iff_add_le'
gcd_mul_right'
Finset.pairwise_cons'
MeasureTheory.stoppedValue_piecewise_const'
Even.nsmul'
CategoryTheory.ShortComplex.mapHomologyIso'
squeeze_one_norm'
Ordinal.lsub_eq_blsub'
isGLB_neg'
Turing.PartrecToTM2.Stmt'
Lean.Meta.Simp.Result.getProof'
MeasurableSet.isClopenable'
zero_lt_two'
SimpleGraph.Subgraph.Connected.mono'
Turing.TM0to1.instInhabitedΛ'
String.next_of_valid'
intervalIntegral.integral_const'
smul_sphere'
DFinsupp.le_iff'
Finsupp.Lex.wellFounded'
Fin.succ_one_eq_two'
Set.biUnion_le_succ'
Nat.sInf_add'
PartialEquiv.image_source_inter_eq'
PartialEquiv.right_inv'
IsAbsoluteValue.abv_nonneg'
ProbabilityTheory.kernel.lintegral_compProd'
PiTensorProduct.isScalarTower'
NormedAddCommGroup.cauchy_series_of_le_geometric'
IsLocalizedModule.mk'_mul_mk'
QuotientAddGroup.eq'
Function.mulSupport_prod_mk'
MeasureTheory.extend_iUnion_le_tsum_nat'
nhdsWithin_Ioi_self_neBot'
List.pairwise_lt_range'
Monoid.PushoutI.NormalWord.summand_smul_def'
LinearOrderedField.zpow_zero'
le_sub_iff_add_le'
uniformity_basis_edist_le'
List.zipWithRight'
AddAction.mem_stabilizer_set'
CategoryTheory.Limits.Types.colimit_sound'
Prod.exists'
StarAlgEquiv.ofLeftInverse'
isOpen_gt'
forall_prop_congr'
AddGroupTopology.continuous_neg'
StrictOrderedSemiring.toOrderedSemiring'
Matrix.diagonal_apply_ne'
MeasureTheory.integral_add'
AddLocalization.addEquivOfQuotient_symm_mk'
Polynomial.natDegree_cyclotomic'
gramSchmidt_def''
Filter.mem_coclosed_compact'
Subsemiring.zero_mem'
mul_lt_mul_of_le_of_lt'
Real.rpow_le_rpow_of_exponent_ge'
IsLUB.exists_between'
Finset.mem_uIcc'
Filter.blimsup_congr'
ge_of_tendsto'
Fin.val_one''
LocalRing.of_surjective'
Polynomial.separable_prod'
Matrix.dotProduct_zero'
StateT.run'
IsIntegral.of_mem_closure'
Quotient.map'_mk''
det_traceMatrix_ne_zero'
Rat.substr_num_den'
IsLocalizedModule.mk'_add_mk'
MeasureTheory.L1.SimpleFunc.setToL1S_mono_left'
compl_sInf'
convolution_assoc'
CategoryTheory.ShortComplex.HomologyMapData.ofEpiOfIsIsoOfMono'
CategoryTheory.Functor.prod'
BoundedContinuousFunction.const_apply'
Monotone.covariant_of_const'
LinearOrderedAddCommGroupWithTop.zsmul_zero'
PathConnectedSpace.exists_path_through_family'
Mathlib.Tactic.TermCongr.CongrResult.mkDefault'
Subgroup.IsComplement'
SlimCheck.TotalFunction.List.toFinmap'
mul_invOf_self_assoc'
Int.ModEq.mul_right'
smul_finsum'
CategoryTheory.ShortComplex.leftHomologyMap'
MeasureTheory.FiniteMeasure.map_apply'
AffineIndependent.map'
symmDiff_top'
TopCat.openEmbedding_iff_comp_isIso'
Sym2.other_spec'
norm_fderiv_le_of_lip'
TopCat.Presheaf.generateEquivalenceOpensLe_functor'
Array.toPArray'
Finset.Nat.antidiagonal_eq_image'
summable_of_isBigO'
Real.rpow_sub_one'
one_lt_mul'
Pi.continuous_precomp'
Left.add_pos'
Projectivization.Subspace.mem_add'
continuous_div_right'
Submodule.unique'
Finset.sum_fiberwise_of_maps_to'
List.get?_eq_some'
_private.Mathlib.MeasureTheory.Function.LpSpace.0.MeasureTheory.Lp.snorm'_sum_norm_sub_le_tsum_of_cauchy_snorm'
NonUnitalSubsemiring.mul_mem'
HasMFDerivAt.mul'
star_mul'
Semiquot.mk'
ConjAct.unitsSMulCommClass'
hasFDerivAt_pi'
FiniteDimensional.finrank_eq_card_basis'
Nat.Partrec.prec'
Finsupp.support_eq_singleton'
norm_of_subsingleton'
FirstOrder.Language.Embedding.map_rel'
Lean.Meta.Simp.mkSimpTheoremsFromConst'
Surreal.nsmul_pow_two_powHalf'
GaloisConnection.l_csSup'
closure_Iio'
Matroid.coindep_iff_exists'
AffineSubspace.mem_perpBisector_iff_dist_eq'
Algebra.FiniteType.iff_quotient_mvPolynomial'
Setoid.comm'
Homeomorph.comp_continuousAt_iff'
SimpleGraph.incMatrix_apply'
Filter.push_pull'
Matrix.toBilin'
CategoryTheory.FinallySmall.mk'
DirectSum.GSemiring.gnpow_zero'
iSup_sigma'
Submodule.module'
MeasureTheory.lintegral_map'
instDecidableXor'
Field.finInsepDegree_def'
div_lt_div_right'
CategoryTheory.Monad.assoc'
NormedSpace.isVonNBounded_iff'
isLUB_neg'
NNReal.tendsto_coe'
ContMDiffWithinAt.prod_map'
AddAction.Quotient.mk_vadd_out'
smul_inv'
Set.Finite.eq_of_subset_of_encard_le'
Antitone.mul'
lt_mul_iff_one_lt_right'
ContinuousLinearMap.comp_memℒp'
lt_div_iff'
LinearEquiv.mk_coe'
Qq.Impl.mkLet'
Finset.prodMk_sup'_sup'
AddValuation.map_add'
CategoryTheory.MonoOver.mk'
smooth_finset_prod'
Matrix.map_smul'
Pretrivialization.ext'
Option.casesOn'
Finset.sum_nbij'
Homeomorph.compStarAlgEquiv'
ContractingWith.fixedPoint_unique'
PartialHomeomorph.image_source_inter_eq'
MeasureTheory.Content.mono'
bernoulli'_def'
ForIn'
MvPolynomial.induction_on'''
Sym2.other_eq_other'
PFunctor.Approx.head_succ'
Mathlib.Tactic.Ring.ExtractCoeff.e'
PFunctor.M.bisim'
DirectSum.algHom_ext'
Filter.Germ.map'
Filter.Tendsto.if'
add_eq_zero_iff'
Cubic.monic_of_d_eq_one'
Equiv.piCongr'
Ordnode.findMax'
DenseInducing.mk'
pow_lt_pow_right'
CochainComplex.shiftFunctor_obj_X'
lp.norm_nonneg'
TopologicalSpace.Opens.openEmbedding'
smul_lt_smul'
MvPolynomial.algHom_ext'
ContinuousLinearEquiv.coe_refl'
Stream'.tail_drop'
mul_div_assoc'
Continuous.inf'
toIcoDiv_add_zsmul'
Basis.ext'
BoxIntegral.Box.subbox_induction_on'
Opposite.rec'
CategoryTheory.HasForget₂.mk'
MeasureTheory.Measure.rnDeriv_smul_right'
Lean.Meta.Simp.mkSimpContext'
Nat.prod_divisorsAntidiagonal'
eq_of_prime_pow_eq'
IntermediateField.exists_algHom_of_adjoin_splits'
StateT.uliftable'
Polynomial.card_roots'
OrderDual.instDistribMulAction'
gramSchmidt_def'
Metric.mem_closedBall'
LinearMap.bound_of_ball_bound'
Nat.Partrec'.comp'
Ordinal.enum_zero_le'
CategoryTheory.instIsIsoObjToQuiverToCategoryStructToQuiverToCategoryStructToPrefunctorCyclesPreadditiveHasZeroMorphismsToPreadditiveNatUpToAddRightCancelSemigroupToAddRightCancelMonoidToAddCancelMonoidToCancelAddCommMonoidToOrderedCancelAddCommMonoidStrictOrderedSemiringToOneCanonicallyOrderedCommSemiringObjHomologicalComplexPreadditiveHasZeroMorphismsToPreadditiveToQuiverToCategoryStructInstCategoryHomologicalComplexHomologicalComplexToQuiverToCategoryStructInstCategoryHomologicalComplexToPrefunctorMapHomologicalComplexCocomplexHasZeroObjectOfNatInstOfNatNatHasHomologyCategoryWithHomology_of_abelianScToRightDerivedZero'
CategoryTheory.Limits.CokernelCofork.IsColimit.ofπ'
AffineMap.lineMap_apply_module'
EuclideanGeometry.inversion_dist_center'
smul_le_smul'
Filter.EventuallyEq.fderivWithin'
MvPolynomial.coeff_monomial_mul'
Set.image_mul_right_Icc'
Applicative.pure_seq_eq_map'
CategoryTheory.IsPullback.of_is_product'
Subgroup.toAddSubgroup'
mem_ball_iff_norm'
LinearMap.IsSymmetric.orthogonalFamily_eigenspaces'
Ordinal.relIso_enum'
Ordset.insert'
MeasureTheory.OuterMeasure.biInf_apply'
Filter.tendsto_atBot_of_add_bdd_below_left'
CategoryTheory.ShortComplex.leftHomologyMapIso'
Polynomial.induction_on'
contDiffAt_prod'
PNat.gcd_rel_right'
Finsupp.equivMapDomain_trans'
Std.BitVec.getMsb'
CategoryTheory.Limits.isColimitCoforkMapOfIsColimit'
AlgebraicTopology.DoldKan.Γ₀.Obj.map_on_summand'
CategoryTheory.Limits.MonoCoprod.mk'
ZMod.cast_id'
CategoryTheory.SimplicialObject.δ_comp_σ_succ'
Ideal.eq_jacobson_iff_sInf_maximal'
vadd_left_injective'
ULift.isScalarTower'
SeparatingDual.exists_ne_zero'
Module.Baer.ExtensionOfMaxAdjoin.extendIdealTo_wd'
Int.even_pow'
Semiquot.mem_blur'
CategoryTheory.Pretriangulated.Triangle.mk'
Filter.HasBasis.uniformEmbedding_iff'
AlgebraicGeometry.Scheme.map_basicOpen'
AffineSubspace.direction_mk'
MeasureTheory.Measure.rnDeriv_add'
Nat.le_minFac'
MeasureTheory.exp_neg_llr'
Nat.floor_lt'
SubMulAction.mulAction'
Polynomial.trinomial_leading_coeff'
CommGroupWithZero.zpow_succ'
Submodule.instSMulSubtypeMemSubmoduleToSemiringInstMembershipSetLikeTorsion'
Ideal.quotientMap_injective'
OrderAddMonoidHom.mk'
Ordnode.Sized.node'
interior_Iic'
Sylow.is_maximal'
Denumerable.mk'
Trivialization.Prod.invFun'
LinearMap.range_smul'
nhds_eq_comap_uniformity'
PartialHomeomorph.IsImage.of_symm_preimage_eq'
hasDerivWithinAt_iff_tendsto_slope'
Asymptotics.IsLittleO.def'
Subsingleton.antitone'
id_map'
PartialHomeomorph.eventually_right_inverse'
List.Chain'.cons'
MeasureTheory.Measure.rnDeriv_smul_right_of_ne_top'
Matroid.Basis.basis'
Set.mulIndicator_le'
conformalAt_iff'
Real.toNNReal_lt_toNNReal_iff'
AddCommGroup.ModEq.sub_left_cancel'
mem_ball_iff_norm''
CategoryTheory.Limits.biprod.map'
Trivialization.Prod.toFun'
Inducing.continuousAt_iff'
Set.Ico_mul_Icc_subset'
Finset.prod_lt_prod_of_nonempty'
MeasureTheory.Ico_ae_eq_Ioc'
Int.inductionOn'
ContDiffAt.hasStrictDerivAt'
Fintype.sum_fiberwise'
List.LE'
starL'
Disjoint.of_disjoint_inf_of_le'
GaloisConnection.u_l_u_eq_u'
Group.conjugatesOfSet_subset'
UniformSpace.Completion.ext'
Setoid.trans'
ZMod.χ₈'
smul_div'
MeasureTheory.condexp_of_aestronglyMeasurable'
MeasureTheory.setAverage_eq'
Set.vaddCommClass_set''
AlgebraicGeometry.IsAffineOpen.fromSpec_map_basicOpen'
linearIndependent_le_span_aux'
DifferentiableOn.inv'
RelSeries.toList_chain'
Quotient.surjective_Quotient_mk''
Int.dist_eq'
Set.mulIndicator_le_self'
Summable.matrix_blockDiagonal'
tendsto_floor_right'
IsAddKleinFour.card_four'
ciInf_le_of_le'
Subsemiring.mem_mk'
ProbabilityTheory.kernel.integral_deterministic'
MeasureTheory.measure_diff'
Finset.prod_add_prod_le'
OmegaCompletePartialOrder.ContinuousHom.seq_continuous'
LinearMap.trace_tensorProduct'
Matrix.blockDiagonal'_apply'
DivisionRing.zpow_succ'
Turing.PartrecToTM2.instInhabitedK'
OnePoint.isOpen_iff_of_mem'
Filter.mono_bliminf'
UniformSpace.Completion.algebra'
Matrix.map_id'
CategoryTheory.Monad.μ'
intervalIntegral.integral_comp_smul_deriv'''
Subgroup.closure_induction''
UV.compress_of_disjoint_of_le'
Trivialization.coe_coordChangeL'
Complex.tan_add'
integrableOn_Ioc_iff_integrableOn_Ioo'
div_lt_div'
PNat.XgcdType.reduce_isReduced'
OrderIso.mulRight₀'
PartialHomeomorph.trans'
CategoryTheory.Limits.biprod.hom_ext'
pow_le_one'
Finset.Ico_mul_Ioc_subset'
Lean.PrettyPrinter.Formatter.interpretParserDescr'
ENNReal.inv_lt_inv'
Cubic.degree_of_d_ne_zero'
CategoryTheory.equivYoneda'
Finsupp.univ_sum_single_apply'
dist_le_norm_add_norm'
Cubic.of_a_eq_zero'
MeasureTheory.tendsto_lintegral_of_dominated_convergence'
Turing.PartrecToTM2.instDecidableEqCont'
neg_le_iff_add_nonneg'
Nat.not_prime_mul'
CategoryTheory.MorphismProperty.Localization'
ContinuousOn.surjOn_of_tendsto'
injective_iff_map_eq_one'
Finset.extract_gcd'
Computability.inhabitedΓ'
Finsupp.equivMapDomain_refl'
range_pow_padicValNat_subset_divisors'
AddAction.card_eq_sum_card_addGroup_sub_card_stabilizer'
Semifield.zpow_succ'
LinearIsometryEquiv.comp_hasFDerivWithinAt_iff'
Nat.ModEq.add_right_cancel'
CompleteLattice.Independent.supIndep'
CliffordAlgebra.instIsScalarTowerCliffordAlgebraToSMulToSemiringInstRingInstAlgebra'ToSMulInstAlgebra'
Multiset.Nat.antidiagonal_succ'
LieSubalgebra.mem_normalizer_iff'
mem_nhdsWithin_Ici_iff_exists_Ico_subset'
HasFDerivWithinAt.insert'
Aesop.Index.unindex.filterDiscrTree'
Fin.pred_mk_succ'
StrictMono.ite'
PartitionOfUnity.locallyFinite'
multiplicity.unique'
_private.Mathlib.Data.W.Basic.0.WType.WType'
Normal.isAlgebraic'
smul_eq_smul_iff_eq_and_eq_of_pos'
essInf_const'
Nat.termπ'
FirstOrder.Language.Equiv.map_rel'
FirstOrder.Language.Equiv.map_fun'
MulOpposite.rec'
StarSubalgebra.star_mem'
Finset.prod_le_prod_of_subset_of_one_le'
MeasureTheory.snorm'
Mathlib.Tactic.BicategoryCoherence.BicategoricalCoherence.tensorRight'
Filter.Tendsto.atBot_mul_const'
SemilatticeInf.mk'
CategoryTheory.Localization.Lifting.ofIsos_iso'
ContinuousMap.compAddMonoidHom'
SetTheory.PGame.relabel_moveRight'
norm_le_pi_norm'
SetTheory.PGame.Relabelling.mk'
Primrec.nat_casesOn'
Bornology.IsBounded.exists_pos_norm_le'
AddMonoid.Coprod.induction_on'
MeasureTheory.abs_toReal_measure_sub_le_measure_symmDiff'
FirstOrder.Language.funMap_quotient_mk'
ENNReal.mul_lt_mul_right'
Finset.prod_finset_product'
Lean.Expr.getRevArg!'
NonUnitalSubring.eq_top_iff'
MulRingSeminorm.map_mul'
eq_of_forall_dvd'
MeasureTheory.Measure.IsComplete.out'
GroupSeminorm.map_one'
CategoryTheory.forgetEnrichment_id'
WeierstrassCurve.Affine.Point.some_add_some_of_Xne'
Pi.isometricVAdd'
CategoryTheory.NatIso.naturality_1'
BoxIntegral.Box.volume_apply'
Flow.cont'
LieSubmodule.Quotient.mk_eq_zero'
AndThen'
CategoryTheory.ShortComplex.ShortExact.mk'
Real.sqrt_div'
ContinuousMap.unitsLift_symm_apply_apply_inv'
MvPolynomial.degrees_X'
MeasureTheory.Measure.rnDeriv_smul_left_of_ne_top'
differentiable_tsum'
Real.arcsin_sin'
MvPolynomial.ringHom_ext'
ContinuousAt.div'
ClopenUpperSet.upper'
Lean.Meta.mkAppM'
_private.Mathlib.Computability.Primrec.0.list_cons'
SetTheory.PGame.moveLeft_neg_symm'
Pi.uniformSpace_comap_precomp'
intermediate_value_Ioc'
AddMonoidAlgebra.lift_unique'
ContinuousLinearMap.coe_prodMap'
CategoryTheory.Pretriangulated.Triangle.shiftFunctorAdd'
Convex.add_smul_mem_interior'
Nat.not_exists_sq'
pow_le_pow_iff'
CategoryTheory.Functor.Initial.limitIso'
MeasureTheory.setToFun_add_left'
CategoryTheory.effectiveEpiStructCompOfEffectiveEpiSplitEpi'
Submonoid.LocalizationMap.mk'_self'
finrank_eq_one_iff'
ModuleCat.mkOfSMul'
Algebra.toMatrix_lmul'
LinearEquiv.isUnit_det'
Irreducible.isUnit_or_isUnit'
Set.not_nonempty_iff_eq_empty'
Nat.ArithmeticFunction.one_smul'
Subgroup.smul_diff'
DirectedOn.mono'
PiTensorProduct.hasSMul'
ComplexShape.next_eq'
ENNReal.tsum_eq_iSup_sum'
MeasureTheory.snorm'_smul_le_mul_snorm'
MeasureTheory.Integrable.add'
List.nthLe_take'
List.prev_cons_cons_eq'
Finset.sup'
nnnorm_mul_le'
Quotient.liftOn₂'_mk''
RingInvo.involution'
Real.arcsin_lt_iff_lt_sin'
MulAction.mem_stabilizer_set'
IsAddGroupHom.neg_iff_ker'
legendreSym.sq_one'
LE.le.trans_eq'
Set.image_add_left'
ContinuousWithinAt.comp'
MeasureTheory.StronglyMeasurable.integral_prod_left'
add_sq'
CategoryTheory.NoetherianObject.subobject_gt_wellFounded'
finZeroEquiv'
exists_seq_strictAnti_tendsto'
differentiableWithinAt_inv'
Setoid.eqv_class_mem'
neg_of_smul_neg_left'
ProbabilityTheory.kernel.deterministic_apply'
AdjoinRoot.Minpoly.toAdjoin_apply'
uniformInducing_iff'
ProbabilityTheory.hasFiniteIntegral_compProd_iff'
MeasureTheory.IsStoppingTime.measurableSet_ge_of_countable_range'
NonarchAddGroupSeminorm.neg'
Nat.card_eq_two_iff'
StarAlgHom.instContinuousLinearMapClassComplexInstSemiringComplexToTopologicalSpaceToUniformSpaceToPseudoMetricSpaceToSeminormedRingToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonAssocRingToRingToTopologicalSpaceToUniformSpaceToPseudoMetricSpaceToSeminormedRingToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonAssocRingToRingToModuleInstNormedFieldComplexToSeminormedAddCommGroupToNonUnitalSeminormedRingToNonUnitalNormedRingToNormedSpace'ToModuleToSeminormedAddCommGroupToNonUnitalSeminormedRingToNonUnitalNormedRingToNormedSpace'
Finset.card_mul_le_card_mul'
edist_eq_coe_nnnorm'
Set.exists_intermediate_set'
Equiv.Perm.cycleType_eq'
ContinuousWithinAt.finset_sup'
AddSubmonoid.LocalizationMap.mk'_eq_of_eq'
Set.smulCommClass_set'
Complex.exp_bound'
Ord.lex'
CategoryTheory.Limits.createsColimitFullSubcategoryInclusion'
mem_nhdsWithin_Ioi_iff_exists_Ioo_subset'
inv_le_iff_one_le_mul'
Finset.sum_pow'
Bimod.id'
AddEquiv.toMultiplicative''
LinearMap.toMatrixₛₗ₂'
ContinuousAt.snd''
Dilation.edist_eq'
AlgebraicGeometry.ProjIsoSpecTopComponent.ToSpec.MemCarrier.clear_denominator'
lt_mul_iff_one_lt_left'
Ordnode.size_balance'
AntitoneOn.mul'
cpow_eq_nhds'
toIcoDiv_sub_eq_toIcoDiv_add'
Finset.sup_singleton''
MeasureTheory.Measure.restrict_singleton'
IsPGroup.to_sup_of_normal_left'
TensorProduct.ext_fourfold'
OrderMonoidHom.mk'
FirstOrder.Language.Substructure.closure_induction'
IsLocalization.mem_invSubmonoid_iff_exists_mk'
sup_sdiff_cancel'
MeasureTheory.integral_integral_add'
SmoothMap.instSMul'
ModuleCat.RestrictScalars.map'
Asymptotics.isBigOWith_self_const_mul'
ENNReal.toReal_mono'
CategoryTheory.Limits.Cofork.IsColimit.desc'
nhdsWithin_eq_nhdsWithin'
List.Forall₂.prod_le_prod'
SetLike.coe_injective'
LinearMap.IsScalarTower.compatibleSMul'
CliffordAlgebra.instSMulCommClassCliffordAlgebraToSMulToSemiringInstRingInstAlgebra'ToSMulInstAlgebra'
Int.ModEq.mul_left'
MeasureTheory.restrict_dirac'
CategoryTheory.Abelian.epi_of_epi_of_epi_of_mono'
Lean.Expr.traverseApp'
Matrix.isAdjointPair_equiv'
CategoryTheory.ShortComplex.SnakeInput.P'
NormedSpace.expSeries_hasSum_exp_of_mem_ball'
hasDerivAt_id'
MeasureTheory.setToFun_finset_sum'
Int.mem_toNat'
sub_div'
MeasureTheory.SimpleFunc.finite_range'
PartialEquiv.symm_image_target_inter_eq'
Set.exists_range_iff'
IntermediateField.insepDegree_bot'
_private.Mathlib.Computability.Ackermann.0.ack_strict_mono_left'
CentroidHom.map_mul_right'
MeasureTheory.stoppedValue_sub_eq_sum'
List.map₂Left'
LieModule.zero_weightSpace_eq_top_of_nilpotent'
RingNorm.eq_zero_of_map_eq_zero'
CategoryTheory.shiftEquiv'
Finset.prod_dite_eq'
tendsto_fract_right'
ENorm.map_add_le'
Finset.image_id'
Real.coe_toNNReal'
smul_pos'
TrivSqZeroExt.algebra'
CategoryTheory.ShortComplex.QuasiIso.isIso'
BilinForm.flip'
MeasureTheory.lintegral_le_of_forall_fin_meas_le'
HasCompactSupport.smul_left'
Set.range_id'
WithBot.unbot_zero'
ContDiffAt.fst'
WithTop.isGLB_sInf'
CategoryTheory.Limits.HasBiproduct.mk'
List.attach_map_val'
MonoidWithZeroHom.ext_rat'
Lean.Meta.forEachExpr'
inv_lt_iff_one_lt_mul'
hasStrictDerivAt_exp_smul_const'
QPF.Cofix.bisim'
PartialHomeomorph.IsImage.preimage_eq'
List.enumFrom_eq_zip_range'
List.destutter_of_chain'
Seminorm.closedBall_finset_sup'
Nat.iSup_lt_succ'
List.measurable_prod'
interior_closedBall'
CategoryTheory.Limits.Types.Limit.w_apply'
MeasureTheory.HasFiniteIntegral.congr'
Computability.finEncodingNatΓ'
uniformContinuous_comap'
CategoryTheory.ShortComplex.RightHomologyData.hι'
Behrend.lower_bound_le_one'
div_mul_div_cancel'
Turing.PartrecToTM2.codeSupp'
finsum_mem_add_diff'
Cardinal.two_le_iff'
Submonoid.LocalizationMap.eq'
WittVector.IsPoly.mk'
Nat.div_add_mod'
EuclideanGeometry.dist_center_eq_dist_center_of_mem_sphere'
Finset.preimage_add_right_zero'
SimplexCategory.δ_comp_σ_of_gt'
CategoryTheory.LaxMonoidalFunctor.prod'
NormedAddTorsor.toAddTorsor'
Finsupp.le_iff'
CochainComplex.HomComplex.Cochain.shift_v'
apply_abs_le_add_of_nonneg'
QuotientGroup.mk'
HasDerivAt.le_of_lip'
Mathlib.Meta.NormNum.Result.isRat'
Zsqrtd.norm_eq_one_iff'
lineDerivWithin_congr'
Multiset.foldr_induction'
SimpleGraph.Walk.coe_support_append'
isUnit_iff_exists_inv'
Filter.vaddCommClass_filter'
BoxIntegral.Prepartition.le_of_mem'
String.next'
ENNReal.mul_lt_of_lt_div'
Complex.hasSum_cos'
sdiff_eq_self_iff_disjoint'
AffineMap.mk'
IsPreconnected.union'
Asymptotics.SuperpolynomialDecay.congr'
IsAddUnit.val_neg_addUnit'
IsLocalization.mk'_eq_of_eq'
EMetric.mem_ball'
Disjoint.inter_right'
smoothAt_finset_prod'
Mathlib.Meta.Multiset.range_succ'
Nat.Primrec'.comp'
HomologicalComplex.homologyIsoSc'
Equiv.Perm.IsCycle.pow_eq_one_iff''
Set.OrdConnected.out'
div_mul_cancel'''
QuadraticForm.isSymm_toMatrix'
Filter.isScalarTower''
norm_inv'
Measurable.inf'
CategoryTheory.Functor.PreservesRightHomologyOf.mk'
mul_right_cancel''
Nat.div_lt_iff_lt_mul'
IntermediateField.finiteDimensional_iSup_of_finset'
AddSubmonoid.LocalizationMap.map_add_units'
OreLocalization.inv'
ConcaveOn.smul'
isIntegral_localization'
RatFunc.liftMonoidWithZeroHom_apply_div'
Num.mem_ofZNum'
Seminorm.continuous_of_forall'
PiLp.nnnorm_equiv_symm_const'
exists_hasDerivAt_eq_zero'
Finset.image₂_congr'
Lean.exprDependsOn'
ContDiffWithinAt.differentiable_within_at'
le_tsum'
Finsupp.add_sum_erase'
Subgroup.mem_sup'
Lists.of'
Rat.add_def''
CategoryTheory.Limits.HasZeroObject.instSubsingletonIsoOfNatToOfNat0Zero'
GCongr.prod_lt_prod_of_nonempty'
contMDiffOn_finset_sum'
CategoryTheory.Abelian.Pseudoelement.pseudoApply_mk'
AddGroupWithOne.zsmul_zero'
LatticeOrderedGroup.neg_eq_one_iff'
add_sub_assoc'
Quotient.out_eq'
Cardinal.aleph0_le_aleph'
exists_or_eq_right'
ContDiffOn.comp'
LieSubmodule.Quotient.mk'
IsLocalizedModule.mk'_eq_zero'
Finset.Icc_mul_Ico_subset'
inv_pos_lt_iff_one_lt_mul'
CompleteLattice.sSup_continuous'
ProbabilityTheory.condCount_inter'
OmegaCompletePartialOrder.ContinuousHom.map_continuous'
eventually_ne_of_tendsto_norm_atTop'
Matrix.IsHermitian.spectral_theorem'
LatticeHom.map_inf'
ContractingWith.exists_fixedPoint'
IsGroupHom.inv_iff_ker'
Multiset.prod_lt_prod_of_nonempty'
sInf_image'
Subsemiring.add_mem'
MeasureTheory.piPremeasure_pi'
Set.vaddAssocClass''
SimplexCategory.δ_comp_δ''
Lean.Compiler.LCNF.FunDeclCore.update'
List.length_concat'
AffineMap.lineMap_apply_ring'
one_lt_mul_of_lt_of_le'
Unique.subsingleton_unique'
cmp_div_one'
Finset.prod_le_prod_of_ne_one'
Homotopy.comp_nullHomotopicMap'
eq_intCast'
Metric.tendsto_atTop'
Module.ext'
LatticeHom.withTop'
Bitraversable.tfst_eq_fst_id'
PowerSeries.algebraMap_apply''
MeasureTheory.tilted_apply_eq_ofReal_integral'
Function.support_prod_mk'
MeasureTheory.L1.setToL1_zero_left'
FiberBundle.totalSpaceMk_inducing'
LinearMap.isSelfAdjoint_iff'
ConcaveOn.mul'
MeasureTheory.SimpleFunc.lintegral_eq_of_subset'
Subsemigroup.mul_mem'
Nat.ModEq.mul_right_cancel_iff'
Nat.lt_succ_sqrt'
Continuous.sup'
IsAlgClosure.equivOfAlgebraic'
Con.mrange_mk'
Finset.map_disjUnion'
UnionFind.model'
List.revzip_sublists'
IsUnit.map'
ULift.module'
_private.Mathlib.RingTheory.OreLocalization.Basic.0.OreLocalization.add'
Multiset.prod_hom'
map_div'
Int.ofNat_mul_negSucc'
MonoidHom.toAdditive''
Finset.prod_mono_set'
PFunctor.Approx.children'
AddMonoidHom.functions_ext'
Semifield.zpow_zero'
Turing.TM2to1.Λ'
LinearMap.mkContinuous₂_norm_le'
addOrderOf_nsmul'
Nat.div_le_of_le_mul'
Mathlib.Tactic.BicategoryCoherence.BicategoricalCoherence.tensorRight'_hom'
UpperHalfPlane.mul_smul'
ONote.NFBelow.below.oadd'
CategoryTheory.Limits.Types.Colimit.ι_desc_apply'
tendsto_floor_left'
LeftOrdContinuous.map_sSup'
Finset.isScalarTower''
Icc_mem_nhdsWithin_Ioi'
Metric.closedBall_subset_closedBall'
CategoryTheory.eq_of_comp_left_eq'
norm_le_of_mem_closedBall'
_private.Mathlib.Util.WhatsNew.0.Mathlib.WhatsNew.mkHeader'
StrictOrderedCommRing.toOrderedCommRing'
Int.div_def'
Function.support_zero'
isIntegralCurveAt_iff'
InfTopHom.map_top'
AbsoluteValue.nonneg'
MeasureTheory.integral_dirac'
ENNReal.div_lt_of_lt_mul'
Finset.smulCommClass_finset'
Algebra.FiniteType.iff_quotient_freeAlgebra'
Finset.Ici_mul_Ioi_subset'
Equiv.left_inv'
Filter.tendsto_atBot_add_right_of_ge'
LinearMap.toMatrix'_toLin'
List.aemeasurable_sum'
AddSubmonoid.eq_top_iff'
ContinuousLinearMap.measurable_apply'
MeasureTheory.Content.sup_disjoint'
contMDiffWithinAt_finset_prod'
RingEquiv.sofLeftInverse'
MeasureTheory.upperCrossingTime_stabilize'
mem_closedBall_iff_norm'
forall_existsUnique_iff'
PerfectionMap.mk'
Option.map_id'
PowerBasis.ofGenMemAdjoin'
le_div_iff'
CategoryTheory.ShortComplex.hasLeftHomology_of_preserves'
LinearIsometryEquiv.coe_coe''
AddCon.coe_mk'
eq_div_iff_mul_eq'
intervalIntegral.integral_pos_iff_support_of_nonneg_ae'
Finset.min'_lt_max'
Finset.prod_fiberwise_le_prod_of_one_le_prod_fiber'
Fin.insertNth_last'
CyclotomicRing.instIsScalarTowerCyclotomicRingCyclotomicFieldToSMulToCommSemiringToSemiringToCommSemiringInstCommRingCyclotomicRingAlgebraBaseToSMulToSemiringToDivisionSemiringToSemifieldInstFieldCyclotomicFieldInstAlgebraCyclotomicRingCyclotomicFieldToCommSemiringInstCommRingCyclotomicRingToSemiringToDivisionSemiringToSemifieldInstFieldCyclotomicFieldAlgebra'
le_of_forall_lt'
CategoryTheory.ProjectiveResolution.fromLeftDerivedZero'
hasStrictFDerivAt_pi'
Polynomial.separable_prod_X_sub_C_iff'
map_symmDiff'
MeasureTheory.Measure.nonpos_iff_eq_zero'
Bimod.TensorBimod.middle_assoc'
CategoryTheory.ShortComplex.homologyMap'
Derivation.mk'
Polynomial.SplittingFieldAux.scalar_tower'
quadraticChar_eq_pow_of_char_ne_two'
Cauchy.mono'
map_zpow'
Int.mul_ediv_cancel'
HasSubset.Subset.antisymm'
DifferentiableWithinAt.inv'
CategoryTheory.Limits.limMap_mono'
List.subset_append_of_subset_right'
Filter.exists_forall_mem_of_hasBasis_mem_blimsup'
Padic.rat_dense'
Metric.exists_dist_lt_of_hausdorffDist_lt'
MeasureTheory.Measure.map_id'
Aesop.EqualUpToIds.Unsafe.exprsEqualUpToIdsCore'
FiberBundle.trivialization_mem_atlas'
Fin.zero_mul'
Multiset.dedup_subset'
Fin.val_one'
toIocDiv_add_zsmul'
Nat.digits_def'
Quotient.sound'
Filter.iInf_neBot_iff_of_directed'
norm_eq_of_mem_sphere'
IsCyclotomicExtension.Rat.discr_prime_pow_ne_two'
DistribMulActionHom.coe_fn_coe'
ContDiff.iterate_deriv'
WeierstrassCurve.Affine.equation_add'
ContinuousOn.comp_fract'
CategoryTheory.ShortComplex.isIso_leftRightHomologyComparison'
Bool.not_eq_true'
Nat.mul_lt_mul'
AlgebraicGeometry.StructureSheaf.const_mul_cancel'
GroupTopology.ext'
AddMonoidAlgebra.algHom_ext'
intermediate_value_Ico'
List.map_id''
CategoryTheory.MonoidalCategory.tensor_hom_inv_id'
Multiset.filter_eq'
Disjoint.inf_right'
Std.Tactic.Omega.combo_sat'
ModuleCat.RestrictionCoextensionAdj.counit'
Primrec.vector_get'
Subgroup.inv_mem'
Polynomial.Separable.of_pow'
iff_def'
CategoryTheory.Biproduct.column_nonzero_of_iso'
Nat.modEq_iff_dvd'
Fin.zero_le'
deriv.star'
Lean.simpLevelIMax'
Real.rpow_sub_nat'
CircleDeg1Lift.translationNumber_eq_of_tendsto₀'
MeasureTheory.SimpleFunc.setToSimpleFunc_congr'
imageToKernel'
NonUnitalSubsemiring.mem_mk'
Real.toNNReal_div'
OrderDual.instMulAction'
Submonoid.iSup_induction'
AddMonoidAlgebra.lift_of'
CategoryTheory.Limits.zero_of_target_iso_zero'
smoothOn_finset_prod'
pow_mul_comm'
List.sublists'
QuotientAddGroup.completeSpace'
DenseEmbedding.mk'
Complex.cos_eq_tsum'
ZeroHom.map_zero'
MeasureTheory.L1.SimpleFunc.setToL1SCLM_add_left'
div_div_div_cancel_left'
AddSubmonoid.LocalizationMap.sec_spec'
lieEquivMatrix'
zero_lt_three'
gauge_zero'
List.map_add_range'
Finset.sup_singleton'
Localization.r'
Fin.ofNat'
smul_closedBall''
dist_eq_norm_sub'
Polynomial.leadingCoeff_pow'
Orientation.inner_rightAngleRotation_swap'
AlgebraicGeometry.ProjectiveSpectrum.StructureSheaf.SectionSubring.oneMem'
BoundedSMul.dist_smul_pair'
sSupHom.map_sSup'
AddSubgroup.eq_top_iff'
Left.mul_lt_one'
MvPolynomial.support_esymm'
IndexedPartition.mk'
squeeze_zero'
HasStrictDerivAt.complexToReal_fderiv'
OmegaCompletePartialOrder.ContinuousHom.ite_continuous'
mul_lt_mul_of_le_of_le'
StrictOrderedCommSemiring.toOrderedCommSemiring'
LinearMap.detAux_def''
Int.ceil_eq_on_Ioc'
finsum_mem_inter_add_diff'
Lean.mkLevelMax'
ProperCone.isClosed'
Polynomial.SplittingFieldAux.algebra'''
nnnorm_inv'
Filter.Germ.module'
List.Nat.antidiagonal_succ'
nhds_zero_symm'
Vector.continuous_insertNth'
Finset.card_nsmul_sub_nsmul_le'
LocallyFinite.option_elim'
_private.Mathlib.Analysis.SpecialFunctions.Log.Base.0.Real.b_ne_one'
div_div_cancel_left'
abs_add'
AddSubgroup.closure_induction''
orderOf_pow'
deriv_mul_const_field'
Finset.toDual_sup'
Ne.lt_of_le'
EuclideanDomain.mul_div_cancel'
CharP.subring'
ConcaveOn.left_le_of_le_right''
TopologicalSpace.IsTopologicalBasis.open_eq_sUnion'
ContractingWith.efixedPoint'
Bimod.LeftUnitorBimod.hom_left_act_hom'
Matrix.diagonal_natCast'
MeasureTheory.StronglyMeasurable.integral_kernel_prod_right'
neg_pow'
ConcaveOn.lt_right_of_left_lt'
Finset.le_max'
MeasureTheory.tilted_zero'
MeasureTheory.condexpIndL1_smul'
TypeVec.dropFun_RelLast'
Bornology.ofBounded'
Pi.mulActionWithZero'
ConvolutionExistsAt.ofNorm'
toIcoDiv_neg'
ENorm.eq_zero'
measurable_id''
Filter.bliminf_congr'
MulAction.orbitZPowersEquiv_symm_apply'
FirstOrder.Language.relMap_quotient_mk'
image_le_of_deriv_right_lt_deriv_boundary'
catalan_succ'
MeasureTheory.OuterMeasure.iUnion_null_iff'
mul_invOf_mul_self_cancel'
nhds_eq_uniformity'
Quotient.surjective_liftOn'
NumberField.InfinitePlace.orbitRelEquiv_apply_mk''
SeminormedCommGroup.ofMulDist'
Mathlib.Tactic.Group.zpow_trick_one'
Ne.lt_top'
MeasureTheory.IsAddFundamentalDomain.measure_eq_tsum'
Denumerable.lower_raise'
CategoryTheory.Monad.η'
frontier_Ioi'
Finset.sum_preimage'
nnnorm_le_nnnorm_add_nnnorm_div'
MeasureTheory.setToFun_zero_left'
Antitone.map_sSup_of_continuousAt'
MeasureTheory.integrableOn_Ioi_deriv_of_nonpos'
_private.Mathlib.Algebra.Module.LocalizedModule.0.LocalizedModule.add_assoc'
OrderedSMul.mk''
Submodule.orderIsoMapComap_symm_apply'
Set.Iic_union_Ioc'
toIocDiv_add_right'
fderiv_inv'
StrictAnti.mul_antitone'
_private.Mathlib.MeasureTheory.Decomposition.SignedLebesgue.0.MeasureTheory.SignedMeasure.eq_singularPart'
MvQPF.Cofix.bisim'
Ordnode.findMin'
GroupFilterBasis.inv'
LocalizedModule.mul_smul'
HasFTaylorSeriesUpTo.zero_eq'
HahnSeries.mul_coeff_left'
MeasureTheory.condexpL1_of_aestronglyMeasurable'
ContDiffWithinAt.fderivWithin''
IsLocalization.lift_mk'
toIcoDiv_add_left'
Lean.Parser.Tactic.Conv.case'
iInf_subtype''
LT.lt.trans'
RootPairing.coroot_eq_coreflection_of_root_eq_of_span_eq_top'
OreLocalization.mul_cancel'
measurable_tProd_elim'
TruncatedWittVector.commutes'
StrictMonoOn.mul'
Int.Prime.dvd_mul'
rank_subsingleton'
ProbabilityTheory.kernel.lintegral_deterministic'
Mathlib.Tactic.Abel.evalSMul'
PowerBasis.liftEquiv'
List.foldr_eq_of_comm'
Real.rpow_add_int'
AddSubmonoid.LocalizationMap.map_mk'
Finset.image_mul_left'
depthFirst'
Turing.PartrecToTM2.trStmts₁_supports'
Pi.distribSMul'
Nat.binaryRec'
Ico_mem_nhdsWithin_Iio'
mul_inv_lt_iff'
CategoryTheory.Equivalence.mk'
List.forM_nil'
Quotient.map₂'
Submonoid.LocalizationMap.symm_comp_ofMulEquivOfLocalizations_apply'
Mathlib.Tactic.Polyrith.Poly.mul'
StructureGroupoid.trans'
measurable_div_const'
Setoid.refl'
Finset.mem_piAntidiagonal'
CategoryTheory.Limits.opCoproductIsoProduct'
max_div_min_eq_mabs'
CategoryTheory.ShortComplex.SnakeInput.PIsoUnopOpP'
countable_of_isolated_left'
aemeasurable_const'
StateCpsT.run'
pi_Ioi_mem_nhds'
Mathlib.Tactic.Coherence.MonoidalCoherence.assoc'
Nat.sqrt_mul_sqrt_lt_succ'
MeasureTheory.Measure.set_lintegral_rnDeriv'
Nat.exists_eq_add_of_le'
Relation.TransGen.tail'
deriv_pow''
ClosureOperator.mk'
Lean.Expr.getAppNumArgs'
Option.bind_eq_none'
WriterT.callCC'
LieSubmodule.lieIdeal_oper_eq_linear_span'
WithTop.untop_zero'
Computability.instDecidableEqΓ'
FunLike.finite'
PerfectClosure.eq_iff'
BoundedLatticeHom.map_bot'
Flag.max_chain'
StrictOrderedRing.toOrderedRing'
Composition.sizeUpTo_succ'
cmp_mul_left'
Lean.PrettyPrinter.Formatter.mkAntiquot.formatter'
PicardLindelof.FunSpace.map_t₀'
MeasureTheory.snorm_zero'
MeasureTheory.snorm_indicator_const'
Option.map_injective'
Finsupp.mapRange_sub'
Std.Range.forIn'_eq_forIn_range'
PFunctor.M.corec'
MeasureTheory.lintegral_liminf_le'
MvPolynomial.weightedDegree'
PFun.fixInduction'
Matrix.det_updateRow_smul'
Rat.le_toNNRat_iff_coe_le'
List.getLast_concat'
Computability.Γ'
CategoryTheory.CechNerveTerminalFrom.hasWidePullback'
MeasureTheory.Lp.snorm'_lim_le_liminf_snorm'
Subgroup.mem_normalizer_iff'
eq_div_of_mul_eq'
DistribMulActionHom.map_add'
CategoryTheory.ShortComplex.cyclesMap'
_private.Mathlib.SetTheory.Ordinal.Arithmetic.0.Ordinal.add_lt_add_iff_left'
MeasurePreservingQuotientGroup.mk'
Lean.Elab.Tactic.evalCase'
dist_pi_le_iff'
Int.odd_add'
String.get'
AlgebraicGeometry.ProjIsoSpecTopComponent.FromSpec.mem_carrier_iff'
IsUnifLocDoublingMeasure.exists_measure_closedBall_le_mul''
MeasureTheory.lintegral_withDensity_eq_lintegral_mul₀'
Subgroup.map_equiv_eq_comap_symm'
Polynomial.leadingCoeff_map'
Subgroup.disjoint_def'
MeasurableEquiv.withDensity_ofReal_map_symm_apply_eq_integral_abs_deriv_mul'
Left.add_neg'
Int.coe_nat_inj'
_private.Mathlib.Computability.Primrec.0.list_reverse'
mem_closure_iff_nhds'
exists_reduced_fraction'
Lean.Parser.Tactic.refine'
ContinuousOn.piecewise'
Lean.Elab.Term.addTermInfo'
MeasureTheory.stronglyMeasurable_const'
Projectivization.submodule_mk''
Codisjoint.sup_right'
List.foldl_fixed'
AddTorsor.vsub_vadd'
max_div_div_left'
FreeAddSemigroup.traverse_add'
Nat.ModEq.mul_left_cancel_iff'
PartialEquiv.trans_target''
Rat.numDenCasesOn''
CategoryTheory.Limits.coprod.desc'
legendreSym.eq_one_of_sq_sub_mul_sq_eq_zero'
Nat.ModEq.mul_right_cancel'
Commute.mul_self_sub_mul_self_eq'
Bool.eq_true_of_not_eq_false'
clusterPt_iff_lift'_closure'
RingHom.eq_intCast'
odd_add_self_one'
StateRefT'.instMonadFunctorStateRefT'
MeasureTheory.integral_Ici_eq_integral_Ioi'
LawfulMonad.mk'
Lean.Meta.mapForallTelescope'
EuclideanGeometry.center_eq_inversion'
Filter.limsup_eq_iInf_iSup_of_nat'
MulSemiringActionHom.map_mul'
iSup₂_mono'
AddMonoidHom.mkNormedAddGroupHom'
Polynomial.coeff_mul_X_pow'
DifferentiableWithinAt.comp'
BoundedContinuousFunction.module'
ModuleCat.CoextendScalars.map'
Std.BitVec.toNat_zeroExtend'
exists_square_le'
CategoryTheory.RegularMono.lift'
Filter.PTendsto'
Matrix.toLinearEquiv'
Matrix.toBilin'_toMatrix'
CategoryTheory.Grpd.str'
Decidable.mul_lt_mul''
Trivialization.open_target'
String.Iterator.ValidFor.mk'
Mathlib.Tactic.BicategoryCoherence.BicategoricalCoherence.right'
ProbabilityTheory.kernel.withDensity_apply'
SMulMemClass.toModule'
Finset.prod_range_div'
SimplicialObject.Augmented.ExtraDegeneracy.s'
WeierstrassCurve.Affine.equation_iff'
Nat.Primrec'.prec'
imp_or'
Ordinal.cof_eq'
NonUnitalRingHom.map_add'
PartialHomeomorph.restr_toPartialEquiv'
ContinuousMap.compMonoidHom'
differentiableOn_inv'
Finset.le_inf'
CategoryTheory.PreservesPullbacksOfInclusions.preservesPullbackInr'
Set.Ioo_union_Ioi'
Measurable.add'
padicNorm.sum_le'
CategoryTheory.ShortComplex.rightHomologyMap'
InnerProductSpace.Core.toInner'
StructureGroupoid.id_mem'
CategoryTheory.Functor.biproductComparison'
MeasureTheory.Measure.restrict_union'
CategoryTheory.StructuredArrow.homMk'
UniformGroup.mk'
Real.deriv_rpow_const'
MonotoneOn.const_mul'
OrderAddMonoidHom.monotone'
CategoryTheory.EssentiallySmall.mk'
CategoryTheory.Comonad.coassoc'
bit0_nsmul'
zsmul_le_zsmul_iff'
Filter.mem_cocompact'
Filter.atTop_basis_Ioi'
toIocMod_sub_zsmul'
ZMod.val_neg'
BotHom.map_bot'
LieSubalgebra.incl'
AddCon.lift_mk'
MeasureTheory.Measure.toSphere_apply_univ'
Subring.mem_mk'
Finset.prod_lt_prod_of_subset'
Set.Icc_subset_uIcc'
PNat.XgcdType.IsReduced'
MeasureTheory.lintegral_iSup'
MeasureTheory.Submartingale.stoppedValue_leastGE_snorm_le'
LinearOrderedCommGroupWithZero.zpow_neg'
contMDiffWithinAt_finset_sum'
Sigma.forall'
MonoidHom.toAdditive'
Real.log_nonpos_iff'
pi_Icc_mem_nhds'
Left.one_lt_mul'
zsmul_le_zsmul'
ContinuousLinearMap.coe_restrict_scalarsL'
Doset.out_eq'
List.destutter_is_chain'
div_lt_iff'
Nat.Icc_eq_range'
Finsupp.sum_add_index'
sdiff_sdiff_right'
Pi.mulSingle_eq_of_ne'
Filter.tendsto_atBot'
Submodule.smul_induction_on'
gauge_ball'
GaloisConnection.l_u_l_eq_l'
Set.uIcc_subset_uIcc_iff_le'
TopCat.Presheaf.Pushforward.id_inv_app'
odd_add_one_self'
MvQPF.Comp.map'
NNReal.le_div_iff'
Set.Ioc_union_Ioi'
Lean.Expr.appArg!'
List.dedup_cons_of_not_mem'
List.map_const'
ENNReal.toReal_ofReal'
LinearOrderedField.zpow_succ'
Disjoint.inter_left'
IntermediateField.exists_algHom_adjoin_of_splits'
MeasureTheory.laverage_eq'
max_sub_min_eq_abs'
Lists.lt_sizeof_cons'
mul_inv_le_iff_le_mul'
differentiableWithinAt_inter'
le_mul_of_one_le_right'
MeasureTheory.average_eq'
Lean.Expr.isAppOfArity'
tendsto_norm_cocompact_atTop'
iInf_of_empty'
MulAction.selfEquivSigmaOrbits'
Metric.closedBall_subset_ball'
MeasureTheory.set_integral_tilted'
Continuous.exists_forall_ge'
LieModule.isNilpotent_of_top_iff'
IsLocalizedModule.fromLocalizedModule'
LinearOrderedSemifield.zpow_succ'
Field.zpow_zero'
MeasureTheory.snorm_one_le_of_le'
CategoryTheory.MorphismProperty.LeftFraction.ofInv_Y'
hasFDerivAt_exp_smul_const_of_mem_ball'
FunctionField.InftyValuation.map_mul'
CategoryTheory.Functor.instIsSplitMonoBiproductCompObjToQuiverToCategoryStructToQuiverToCategoryStructToPrefunctorBiproductBiproductComparison'
sub_one_mul_padicValNat_choose_eq_sub_sum_digits'
MvPolynomial.eval₂Hom_congr'
eventually_closure_subset_of_isCompact_absorbing_of_isOpen_of_omegaLimit_subset'
depthFirstRemovingDuplicates'
toIcoMod_mem_Ico'
AlgebraicGeometry.Scheme.Pullback.openCoverOfBase'
UnionFind.lt_rankMax'
Filter.HasBasis.nhds'
Lists'.instForAllBoolInhabitedLists'
CategoryTheory.Mat_.additiveObjIsoBiproduct_naturality'
Subgroup.mem_normalizer_iff''
FreeAddMagma.traverse_add'
LinearMap.lcomp_apply'
MeasureTheory.Measure.pi_noAtoms'
sdiff_symmDiff'
List.alternatingSum_cons'
Equiv.Perm.SameCycle.exists_pow_eq'
BoundedContinuousFunction.exists_extension_norm_eq_of_closedEmbedding'
isOpen_pi_iff'
contMDiff_finset_sum'
WittVector.mk'
NNReal.inner_le_Lp_mul_Lq_tsum'
IndexedPartition.index_out'
CategoryTheory.Limits.HasBinaryBiproduct.mk'
Ordinal.comp_familyOfBFamily'
Finset.eq_sum_range_sub'
MeasureTheory.stoppedValue_eq'
Finset.max'_eq_sup'
Antitone.map_iInf_of_continuousAt'
iSup_subtype''
abs_lt_of_sq_lt_sq'
Finset.prod_mono_set_of_one_le'
IntList.gcd_cons_div_right'
IsPrimitiveRoot.adjoinEquivRingOfIntegers'
IntermediateField.normal_iff_forall_map_le'
add_pos'
ProbabilityTheory.cond_cond_eq_cond_inter'
HomologicalComplex.cyclesIsoSc'
HomologicalComplex.boundariesToCycles'
Polynomial.Monic.irreducible_iff_natDegree'
div_le_iff_le_mul'
pi_norm_le_iff_of_nonempty'
MeasureTheory.Lp.mul_meas_ge_le_pow_norm'
CategoryTheory.Functor.quasiIso'_of_map_quasiIso'
Set.Finite.pi'
Int.floor_eq_on_Ico'
List.Nat.antidiagonal_succ_succ'
LipschitzWith.const'
Ordnode.node'
OreLocalization.oreDivAddChar'
Matrix.zpow_bit1'
Ssyt.zeros'
CategoryTheory.Limits.HasImage.mk'
CategoryTheory.ShortComplex.LeftHomologyData.ofEpiOfIsIsoOfMono'
List.permutations_perm_permutations'
List.isRotated_nil_iff'
Matrix.kroneckerTMul_assoc'
CategoryTheory.IsEquivalence.mk'
MvPFunctor.M.bisim'
Real.le_toNNReal_iff_coe_le'
Finset.sum_Ico_add'
Lean.Expr.withApp'
AlgebraicGeometry.ProjectiveSpectrum.StructureSheaf.SectionSubring.negMem'
Ordnode.length_toList'
bit1_pos'
MeasureTheory.L1.setToL1_congr_left'
CategoryTheory.Arrow.homMk'
IsLocalization.mk'_self'
CategoryTheory.ShortComplex.LeftHomologyData.ofIsLimitKernelFork_f'
nhds_basis_opens'
Finset.lt_max'_of_mem_erase_max'
AddLocalization.liftOn_mk'
Nat.mul_div_cancel'
LawfulFix.fix_eq'
ConjAct.smulCommClass'
gcd_mul_left'
MeasureTheory.integral_Icc_eq_integral_Ioc'
FunctionField.InftyValuation.map_one'
Finset.sup'_inf_sup'
Lean.mkLevelIMax'
Antitone.mul_const'
Finset.filter_ne'
Ordinal.toPGame_add_mk'
IsCompact.tendsto_subseq'
CategoryTheory.NatTrans.ext'
Projectivization.mk'
ProbabilityTheory.kernel.swapRight_apply'
Complex.cpow_ofNat_mul'
Matrix.toLinearMap₂'_toMatrix'
HasFDerivWithinAt.mul_const'
Filter.tendsto_atBot_add_nonpos_right'
CategoryTheory.IsIso.of_mono_retraction'
List.getLast_cons'
IsGroupHom.mk'
StructureGroupoid.LocalInvariantProp.congr_nhdsWithin'
AddCommGroup.modEq_sub_iff_add_modEq'
CategoryTheory.ShortComplex.LeftHomologyData.IsPreservedBy.f'
zero_lt_one'
pow_eq_zero_iff'
neg_div'
Set.image_mul_right'
le_abs'
Right.add_pos'
sq_le_sq'
hasFDerivAt_of_tendsto_locally_uniformly_on'
Std.Tactic.Omega.Constraint.div_sat'
NonUnitalStarSubalgebra.star_mem'
Metric.uniformEmbedding_iff'
deriv_add_const'
Subsingleton.monotone'
Filter.Tendsto.congr'
Bool.not_eq_false'
Ssyt.col_strict'
AlgEquiv.coe_ringEquiv'
MeasureTheory.lintegral_dirac'
synthesizeUsing'
StructureGroupoid.eq_on_source'
WeierstrassCurve.Affine.Point.some_add_some_of_Yne'
Polynomial.HasSeparableContraction.dvd_degree'
Bimod.comp_hom'
finprod_mem_finset_product'
frontier_Iic'
Nat.sqrt_add_eq'
decidable_of_iff'
CategoryTheory.Comonad.right_counit'
Additive.isometricVAdd'
FormalMultilinearSeries.comp_coeff_zero'
ConcaveOn.right_le_of_le_left''
CategoryTheory.ShortComplex.quasiIso_iff_isIso_rightHomologyMap'
Finset.uIcc_subset_uIcc_iff_le'
Filter.map_zero'
Finset.sum_comm'
CategoryTheory.StructuredArrow.toCostructuredArrow'
MeasureTheory.Measure.restrict_apply₀'
Submodule.smul_bot'
CategoryTheory.ExactPairing.coevaluation'
neg_of_smul_neg_right'
MvPolynomial.aeval_zero'
MeasureTheory.Ioc_ae_eq_Icc'
NNReal.nndist_zero_eq_val'
AddSubgroup.mem_normalizer_iff'
jacobiSym.sq_one'
Nat.ModEq.mul_left'
Sylow.normalizer_sup_eq_top'
Pretrivialization.toFun'
ProofWidgets.MakeEditLinkProps.ofReplaceRange'
CategoryTheory.ShortComplex.LeftHomologyData.unop_g'
vadd_ball''
HomologicalComplex.homologyFunctorIso'
Mathlib.Meta.NormNum.IsNatPowT.run'
AddGroupTopology.continuous_add'
Cardinal.add_mk_eq_max'
MeasureTheory.IsFundamentalDomain.set_lintegral_eq_tsum'
one_le_div'
Rat.inv_def''
MeasureTheory.IsSetSemiring.diff_eq_Union'
Orientation.kahler_comp_rightAngleRotation'
LinearMap.trace_conj'
QuaternionAlgebra.self_add_star'
SetTheory.PGame.ofLists_moveRight'
IsPrimitiveRoot.isUnit_unit'
exists_Ioc_subset_of_mem_nhds'
Multiset.induction_on'
cardinal_le_rank_of_linearIndependent'
contDiffWithinAt_prod'
SmoothBumpCovering.eventuallyEq_one'
Submodule.torsion'_isTorsion'
add_eq_zero'
MeasureTheory.hasFiniteIntegral_prod_iff'
Fin.castSucc_pos'
ContinuousMultilinearMap.norm_image_sub_le'
LinearMap.mk₂'
Std.HashMap.Imp.empty'
_private.Mathlib.SetTheory.Ordinal.Notation.0.ONote.exists_lt_omega_opow'
ContinuousMap.continuous_const'
exists_ratio_hasDerivAt_eq_ratio_slope'
IntermediateField.Lifts.exists_lift_of_splits'
Bool.and_or_inj_right'
Classical.inhabited_of_nonempty'
Mathlib.Tactic.cases''
PartENat.toWithTop_one'
deriv_pow'
Polynomial.card_support_eq'
FormalMultilinearSeries.comp_coeff_zero''
inf_eq_half_smul_add_sub_abs_sub'
Submodule.toLocalized'
NormedSpace.norm_expSeries_summable_of_mem_ball'
IsLocalization.surj'
Subgroup.transferTransversal_apply'
List.nnnorm_prod_le'
Set.nonempty_iff_ne_empty'
_private.Mathlib.CategoryTheory.Adjunction.Basic.0.CategoryTheory.Adjunction.he''
NormedAddGroupHom.bound'
ContinuousMap.continuous.comp'
Finset.card_le_card_of_forall_subsingleton'
Filter.mono_blimsup'
Quotient.recOnSubsingleton₂'
List.get?_range'
OreLocalization.div_eq_one'
PosNum.ofZNum'
ConvexOn.lt_right_of_left_lt'
EllipticCurve.baseChange_Δ'
Bimod.RightUnitorBimod.hom_left_act_hom'
Metric.closedBall_zero'
Finset.Ioi_mul_Ici_subset'
Lattice.mk'
WriterT.uliftable'
Fin.mem_piFinset_succ'
String.lt_next'
SimplexCategory.δ_comp_σ_self'
Finsupp.sum_ite_eq'
TypeVec.ofSubtype'
Finset.noncommProd_insert_of_not_mem'
max_div_div_right'
LinearIndependent.eq_zero_of_pair'
mul_zsmul'
List.SublistForall₂.prod_le_prod'
KaehlerDifferential.module'
StarOrderedRing.ofNonnegIff'
Filter.ext'
ConvexOn.smul'
Set.indicator_compl'
Real.continuousAt_const_rpow'
OrderIso.isLUB_preimage'
_private.Mathlib.Algebra.Module.GradedModule.0.DirectSum.Gmodule.one_smul'
Matroid.dual_indep_iff_exists'
LinearMap.ofIsCompl_eq'
Option.getDM'
skewAdjointMatricesSubmodule'
Pi.sum_nnnorm_apply_le_nnnorm'
AddMonoid.exponent_eq_iSup_addOrderOf'
le_csSup_iff'
contMDiff_finset_prod'
EIO.toIO'
star_comm_self'
PNat.mod_add_div'
Set.mulIndicator_mul'
AdjoinRoot.isIntegral_root'
Matrix.exp_units_conj'
NonarchAddGroupSeminorm.add_le_max'
IsCompactOperator.restrict'
pow_le_pow_of_le_one'
Std.HashMap.Imp.WF.below.empty'
Array.foldr_push'
CategoryTheory.ComposableArrows.map'
LeftInvariantDerivation.left_invariant'
Tactic.NormNum.nat_gcd_helper_1'
UpperHalfPlane.coe'
EuclideanGeometry.inversion_eq_center'
Finset.exists_lt_of_prod_lt'
List.sum_range_succ'
Continuous.quotient_liftOn'
Cubic.degree_of_d_eq_zero'
List.nodup_range'
Num.succ'
MulEquiv.map_mul'
CircleDeg1Lift.tendsto_translation_number'
Int.even_sub'
contDiffWithinAt_inter'
_private.Lean.Meta.ExprDefEq.0.Lean.Meta.processAssignment'
AlgebraicGeometry.StructureSheaf.res_const'
MvPFunctor.M.dest'_eq_dest'
CommMon_.id'
lt_of_mul_lt_mul_right'
ZNum.ofInt'
Set.preimage_mul_left_one'
Set.PiSetCoe.canLift'
_private.Mathlib.MeasureTheory.Function.L2Space.0.MeasureTheory.L2.smul_left'
deriv_const_mul_field'
AffineSubspace.self_mem_mk'
Finsupp.sum_sum_index'
WithTop.untop'
zsmul_eq_zsmul_iff'
FiberBundle.trivializationAtlas'
FreimanHom.map_prod_eq_map_prod'
LipschitzWith.integral_inv_smul_sub_mul_tendsto_integral_lineDeriv_mul'
Submodule.Quotient.eq'
Nat.mul_div_cancel_left'
Trivialization.toFun'
CategoryTheory.Abelian.coimageIsoImage'
mem_sphere_iff_norm'
Real.exp_bound_div_one_sub_of_interval'
DoubleCentralizer.nnnorm_def'
Denumerable.raise'
WithBot.le_coe_unbot'
AddGroupTopology.ext'
IsGroupHom.map_mul'
Set.indicator_le'
Nat.sqrt_eq'
VonNeumannAlgebra.centralizer_centralizer'
MeasureTheory.IsAddFundamentalDomain.mk'
Subbimodule.smul_mem'
OneHom.map_one'
pi_Iic_mem_nhds'
lt_neg_iff_add_neg'
Pi.continuousAdd'
MeasureTheory.Integrable.const_mul'
List.nodup_sublists'
Lean.Meta.mkEqFalse'
dist_midpoint_midpoint_le'
Submodule.coe_prodEquivOfIsCompl'
Mathlib.Tactic.TermCongr.CongrResult.mk'
fderivWithin_eventually_congr_set'
EMetric.uniformEmbedding_iff'
Module.free_of_finite_type_torsion_free'
LowerSemicontinuousAt.add'
PosNum.cast_one'
AlgebraicGeometry.StructureSheaf.comap_id'
Cubic.degree_of_b_ne_zero'
IsPrimitiveRoot.neZero'
Monotone.mul'
Finite.card_le_of_injective'
Aesop.Queue.init'
inv_mul_lt_iff_lt_mul'
HahnSeries.neg_coeff'
ENNReal.hasBasis_nhds_of_ne_top'
ideal_eq_bot_of_localization'
EllipticCurve.coe_variableChange_Δ'
circleIntegral.norm_integral_le_of_norm_le_const'
Aesop.Rapp.runMetaMInParentState'
Submonoid.LocalizationMap.lift_mk'
Set.fintypeBind'
sdiff_sdiff_sup_sdiff'
Set.indicator_sub'
tendsto_nhds_top_mono'
mem_posTangentConeAt_of_segment_subset'
Array.SatisfiesM_mapM'
Filter.Germ.mulAction'
OrderIso.map_csInf'
NormedAddGroupHom.map_add'
CategoryTheory.IsPushout.isColimit'
DFinsupp.wellFoundedLT'
CategoryTheory.curriedYonedaLemma'
Module.IsTorsion'
ZMod.isQuadratic_χ₈'
Pi.isometricVAdd''
CategoryTheory.Limits.Trident.IsLimit.mk'
AlgEquiv.commutes'
Multiset.revzip_powersetAux_perm_aux'
CategoryTheory.Limits.equalizerSubobject_arrow'
Sym2.mem_iff'
Real.toNNReal_le_toNNReal_iff'
CategoryTheory.ShortComplex.leftRightHomologyComparison'_eq_leftHomologpMap'_comp_iso_hom_comp_rightHomologyMap'
Function.update_comp_eq_of_forall_ne'
Nat.leRecOn_succ'
CategoryTheory.BraidedFunctor.ext'
uniformity_eq_comap_nhds_zero'
OrderDual.instPow'
Matrix.diagonal_mul_diagonal'
UpperSemicontinuousAt.add'
MvPolynomial.coeff_mul_X'
mul_le_one'
closure_Ioi'
contDiffOn_prod'
SmoothPartitionOfUnity.sum_le_one'
CategoryTheory.ShortComplex.RightHomologyData.op_f'
Affine.Simplex.dist_circumcenter_eq_circumradius'
tsum_const_smul''
ULift.isometricSMul'
max_inv_inv'
rank_finsupp'
abs_norm_sub_norm_le'
QuotientAddGroup.kerLift_mk'
Finset.max'
SetTheory.PGame.zero_lf_inv'
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