name
string
module
string
deps
list
allowCompletion
bool
Nat.lt_of_lt_of_eq
Init.Data.Nat.Basic
[ "Eq.rec", "Nat", "LT.lt", "instLTNat", "Eq" ]
true
Mathlib.Tactic.FieldSimp._aux_Mathlib_Tactic_Field___elabRules_Mathlib_Tactic_FieldSimp_field_1
Mathlib.Tactic.Field
[ "Pure.pure", "Lean.Syntax.node", "Lean.TSyntax", "Lean.Elab.Tactic.instMonadExceptExceptionTacticM", "Lean.MessageData", "Lean.instMonadExceptOfExceptionCoreM", "Inhabited.default", "Lean.MonadRef.mkInfoFromRefPos", "Lean.Elab.Term.instMonadMacroAdapterTermElabM", "Lean.Meta.Simp.Result.mk", "Le...
false
_private.Mathlib.Combinatorics.Enumerative.IncidenceAlgebra.0.IncidenceAlgebra.moebius_inversion_top._simp_1_10
Mathlib.Combinatorics.Enumerative.IncidenceAlgebra
[ "AddMonoid.toAddZeroClass", "AddZeroClass.toAddZero", "AddZero.toZero", "instHAdd", "add_eq_left", "HAdd.hAdd", "IsLeftCancelAdd", "AddMonoid", "propext", "AddZero.toAdd", "Zero.toOfNat0", "OfNat.ofNat", "Eq" ]
false
Lean.PrettyPrinter.Delaborator.OmissionReason.noConfusionType
Lean.PrettyPrinter.Delaborator.Basic
[ "Lean.PrettyPrinter.Delaborator.OmissionReason", "String", "Lean.PrettyPrinter.Delaborator.OmissionReason.deep.elim", "Lean.PrettyPrinter.Delaborator.OmissionReason.string.elim", "Lean.PrettyPrinter.Delaborator.OmissionReason.ctorIdx", "Lean.PrettyPrinter.Delaborator.OmissionReason.maxSteps.elim", "Lean...
false
FinsetFamily._aux_Mathlib_Combinatorics_SetFamily_Compression_UV___unexpand_UV_compression_1
Mathlib.Combinatorics.SetFamily.Compression.UV
[ "Pure.pure", "cond", "Lean.TSyntax", "Unit.unit", "Lean.MonadRef.mkInfoFromRefPos", "instMonadExceptOfMonadExceptOf", "Lean.SourceInfo", "Lean.PrettyPrinter.UnexpandM", "MonadExcept.throw", "Lean.Syntax.isOfKind", "EStateM.instMonad", "Lean.Syntax.atom", "Lean.TSyntax.mk", "Lean.Syntax", ...
false
_private.Mathlib.SetTheory.Ordinal.FixedPointApproximants.0.OrdinalApprox.lfpApprox_ord_eq_lfp._simp_1_3
Mathlib.SetTheory.Ordinal.FixedPointApproximants
[ "Exists", "Subtype.exists", "Subtype", "Subtype.mk", "propext", "Eq" ]
false
iterateInduction._proof_3
Mathlib.Probability.Kernel.IonescuTulcea.Traj
[ "Finset", "InvImage", "Finset.mem_Iic", "Preorder.toLE", "Nat.instLocallyFiniteOrder", "Membership.mem", "LocallyFiniteOrder.toLocallyFiniteOrderBot", "id", "Subtype", "Nat.lt_succ_of_le", "LE.le", "Finset.instSetLike", "Nat.instPreorder", "Nat", "LT.lt", "Iff.mp", "Finset.Iic", "i...
false
IsUnifLocDoublingMeasure.wrapped._@.Mathlib.MeasureTheory.Covering.DensityTheorem.1554790178._hygCtx._hyg.2
Mathlib.MeasureTheory.Covering.DensityTheorem
[ "Real", "MeasureTheory.Measure", "_private.Mathlib.MeasureTheory.Covering.DensityTheorem.0.IsUnifLocDoublingMeasure.wrapped._proof_1._@.Mathlib.MeasureTheory.Covering.DensityTheorem.1554790178._hygCtx._hyg.2", "SecondCountableTopology", "PseudoMetricSpace.toUniformSpace", "BorelSpace", "Subtype", "Sub...
false
Std.ExtDTreeMap.Const.getKeyD_insertManyIfNewUnit_list_of_not_mem_of_mem
Std.Data.ExtDTreeMap.Lemmas
[ "Eq.mpr", "Std.ExtDTreeMap.mk", "List.Pairwise", "Std.DTreeMap", "congrArg", "instForInOfForIn'", "Membership.mem", "Ordering", "inferInstance", "Ordering.eq", "Std.ExtDTreeMap.getKeyD", "id", "Std.TransCmp", "Id", "Membership", "Std.DTreeMap.Const.insertManyIfNewUnit", "List", "Un...
true
RatFunc.instAlgebraOfPolynomial
Mathlib.FieldTheory.RatFunc.Basic
[ "IsDomain", "MulOne.toOne", "Polynomial.instOne", "CommRing", "RingHom.mk", "RatFunc.instAlgebraOfPolynomial._proof_4", "RatFunc.instAlgebraOfPolynomial._proof_2", "Algebra.algebraMap", "CommSemiring.toSemiring", "OneHom.mk", "RatFunc.instAlgebraOfPolynomial._proof_1", "RatFunc.instAlgebraOfPo...
true
CategoryTheory.IsKernelPair.lift_snd_assoc
Mathlib.CategoryTheory.Limits.Shapes.KernelPair
[ "CategoryTheory.Category.assoc", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "congrArg", "Eq.mp", "id", "Mathlib.Tactic.Reassoc.eq_whisker'", "CategoryTheory.IsKernelPair", "CategoryTheory.IsKernelPair.lift_snd", "CategoryTheory.CategoryStruct.comp", "CategoryTheory.Category.toCatego...
true
CategoryTheory.ShortComplex.hasLeftHomology_of_epi_of_isIso_of_mono'
Mathlib.Algebra.Homology.ShortComplex.LeftHomology
[ "CategoryTheory.Limits.HasZeroMorphisms", "CategoryTheory.ShortComplex.leftHomologyData", "CategoryTheory.IsIso", "CategoryTheory.Epi", "CategoryTheory.Mono", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "CategoryTheory.ShortComplex.Hom.τ₁", "CategoryTheory.ShortComplex", "CategoryTheor...
true
CategoryTheory.Limits.BinaryBicone.ofLimitCone._proof_6
Mathlib.CategoryTheory.Preadditive.Biproducts
[ "CategoryTheory.Limits.Cone.π", "CategoryTheory.Functor", "CategoryTheory.Limits.Cone", "CategoryTheory.Limits.BinaryFan.IsLimit.lift", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "congrArg", "CategoryTheory.Functor.category", "CategoryTheory.CategoryStruct.id", "CategoryTheory.Limits....
false
_private.Mathlib.Analysis.Complex.Trigonometric.0.Mathlib.Meta.Positivity.evalCosh.match_1
Mathlib.Analysis.Complex.Trigonometric
[ "Lean.Level.ctorIdx", "Mathlib.Meta.Positivity.Strictness", "Lean.Expr.const", "Lean.Meta.MetaM", "Nat.hasNotBit", "Lean.Expr.sort", "Lean.Level", "_private.Mathlib.Analysis.Complex.Trigonometric.0.Mathlib.Meta.Positivity.evalCosh._sparseCasesOn_1", "List.cons", "Qq.Quoted", "Lean.Level.zero", ...
false
AddAction.prodOfVAddCommClass.eq_1
Mathlib.Algebra.Group.Action.Prod
[ "AddAction.mk", "AddMonoid.toAddSemigroup", "VAdd.mk", "Prod.fst", "HVAdd.hVAdd", "AddAction", "AddAction.toAddSemigroupAction", "AddAction.prodOfVAddCommClass._proof_1", "AddSemigroupAction.mk", "AddSemigroupAction.toVAdd", "AddAction.prodOfVAddCommClass._proof_2", "AddMonoid", "instHVAdd",...
true
Finpartition.empty._proof_1
Mathlib.Order.Partition.Finpartition
[ "Lattice", "Finset", "PartialOrder.toPreorder", "Preorder.toLE", "OrderBot", "SemilatticeInf.toPartialOrder", "id", "Finset.supIndep_empty", "Finset.instEmptyCollection", "Finset.SupIndep", "EmptyCollection.emptyCollection", "Lattice.toSemilatticeInf" ]
false
CategoryTheory.IsPreconnected.mk._flat_ctor
Mathlib.CategoryTheory.IsConnected
[ "CategoryTheory.IsPreconnected", "CategoryTheory.Functor", "CategoryTheory.IsPreconnected.mk", "CategoryTheory.Functor.category", "CategoryTheory.Iso", "CategoryTheory.discreteCategory", "Nonempty", "CategoryTheory.Functor.const", "CategoryTheory.Functor.obj", "CategoryTheory.Category", "Categor...
false
IsFractionRing.ringEquivOfRingEquiv_algebraMap
Mathlib.RingTheory.Localization.FractionRing
[ "CommRing", "IsFractionRing.ringEquivOfRingEquiv._proof_2", "IsLocalization.map", "IsFractionRing.ringEquivOfRingEquiv", "Algebra.algebraMap", "congrArg", "CommSemiring.toSemiring", "IsFractionRing", "RingEquiv.instEquivLike", "IsFractionRing.ringEquivOfRingEquiv_apply", "IsLocalization.ringEqui...
true
Std.Time.WallTime._sizeOf_1
Std.Time.DateTime.WallTime
[ "Std.Time.WallTime.rec", "Std.Time.Duration._sizeOf_inst", "instOfNatNat", "instHAdd", "HAdd.hAdd", "Nat", "SizeOf.sizeOf", "instAddNat", "OfNat.ofNat", "Std.Time.Duration", "Std.Time.WallTime" ]
false
Matrix.nonAssocSemiring
Mathlib.Data.Matrix.Mul
[ "NonAssocSemiring.mk", "NonAssocSemiring.toAddCommMonoidWithOne", "Matrix.instAddCommMonoidWithOne", "Matrix", "AddCommMonoidWithOne", "AddMonoidWithOne.toNatCast", "Matrix.nonAssocSemiring._proof_1", "Matrix.nonAssocSemiring._proof_2", "AddCommMonoidWithOne.toAddMonoidWithOne", "AddMonoidWithOne....
true
Mathlib.Tactic.Ring.ExProd.evalIntCast._f
Mathlib.Tactic.Ring.Basic
[ "Qq.QuotedDefEq", "Pure.pure", "Lean.instantiateMVars", "Lean.MonadError.mk", "Lean.instMonadExceptOfExceptionCoreM", "Mathlib.Tactic.Ring.Common.Result.mk", "_private.Mathlib.Tactic.Ring.Basic.0.Mathlib.Tactic.Ring.ExProd.evalIntCast.match_5", "Lean.MetavarKind.natural", "ReaderT", "instMonadCont...
false
_private.Mathlib.Algebra.BigOperators.Fin.0.Fin.prod_uIcc_castSucc._simp_1_1
Mathlib.Algebra.BigOperators.Fin
[ "Finset", "Fin.instLocallyFiniteOrder", "Finset.map", "instOfNatNat", "instHAdd", "HAdd.hAdd", "Nat", "Fin.map_castSuccEmb_uIcc", "instAddNat", "Fin.castSuccEmb", "Fin.castSucc", "OfNat.ofNat", "Eq.symm", "Fin", "Eq", "Fin.instLattice", "Finset.uIcc" ]
false
AddSubgroup.normal_addSubgroupOf_addCommutator_sup
Mathlib.GroupTheory.Commutator.Basic
[ "AddSubgroup.instCompleteLattice", "Lattice.toSemilatticeSup", "CompleteLattice.toLattice", "AddSubgroup.normalizer_addCommutator_ge_right", "AddSubgroup.addCommutator", "Bracket.bracket", "AddSubgroup.toAddGroup", "Membership.mem", "SemilatticeSup.toMax", "AddSubgroup.normalizer", "Subtype", ...
true
_private.Mathlib.Topology.Semicontinuity.Basic.0.upperSemiContinuous_inv_iff._simp_1_1
Mathlib.Topology.Semicontinuity.Basic
[ "Set.univ", "UpperSemicontinuous", "TopologicalSpace", "propext", "Eq.symm", "Eq", "UpperSemicontinuousOn", "Preorder", "upperSemicontinuousOn_univ_iff" ]
false
_private.Mathlib.Topology.Separation.Hausdorff.0.t2_iff_nhds._simp_1_4
Mathlib.Topology.Separation.Hausdorff
[ "not_imp_comm", "propext", "Eq", "Not" ]
false
_private.Mathlib.Algebra.Regular.Defs.0.isAddRegular_iff.match_1_3
Mathlib.Algebra.Regular.Defs
[ "IsAddRightRegular", "And.casesOn", "And", "And.intro", "IsAddLeftRegular", "Add" ]
false
Lean.Elab.Tactic.BVDecide.LRAT.trim.M.markUsed
Lean.Elab.Tactic.BVDecide.LRAT.Trim
[ "Pure.pure", "Unit.unit", "UInt8.instOfNat", "modify", "_private.Lean.Elab.Tactic.BVDecide.LRAT.Trim.0.Lean.Elab.Tactic.BVDecide.LRAT.trim.M.idIndex", "Lean.Elab.Tactic.BVDecide.LRAT.trim.State", "ReaderT.instMonad", "GE.ge", "ByteArray.set!", "Lean.Elab.Tactic.BVDecide.LRAT.trim.State.mapped", ...
true
sup_div_inf_eq_mabs_div
Mathlib.Algebra.Order.Group.Unbundled.Abs
[ "Eq.mpr", "Lattice", "MulOne.toOne", "DivInvMonoid.toInv", "Lattice.toSemilatticeSup", "instHDiv", "DivisionCommMonoid.toDivisionMonoid", "CommMonoid.toCommSemigroup", "DivInvOneMonoid.toInvOneClass", "sup_sup_sup_comm", "Monoid.toMulOneClass", "congrArg", "PartialOrder.toPreorder", "Preor...
true
Lean.Lsp.instToJsonCompletionClientCapabilities.toJson
Lean.Data.Lsp.Capabilities
[ "Lean.Json", "Lean.Json.mkObj", "Lean.Json.opt", "Lean.Lsp.instToJsonCompletionItemCapabilities", "String", "List.cons", "List", "Lean.Lsp.CompletionClientCapabilities.completionItem?", "Lean.Lsp.CompletionClientCapabilities", "Prod", "Lean.Lsp.CompletionItemCapabilities", "List.flatten", "L...
true
_private.Mathlib.Analysis.SumOverResidueClass.0.not_summable_of_antitone_of_neg._simp_1_1
Mathlib.Analysis.SumOverResidueClass
[ "Real", "Metric.tendsto_atTop", "Real.instZero", "PartialOrder.toPreorder", "PseudoMetricSpace.toUniformSpace", "Real.instLT", "Preorder.toLE", "Exists", "nhds", "GE.ge", "Filter.atTop", "GT.gt", "PseudoMetricSpace", "Filter.Tendsto", "LT.lt", "propext", "Nonempty", "Zero.toOfNat0"...
false
measurableSet_le'
Mathlib.MeasureTheory.Constructions.BorelSpace.Order
[ "MeasurableSet", "SecondCountableTopology", "PartialOrder.toPreorder", "setOf", "instTopologicalSpaceProd", "Preorder.toLE", "OrderClosedTopology.isClosed_le'", "PartialOrder", "IsClosed.measurableSet", "LE.le", "Prod.fst", "MeasurableSpace", "TopologicalSpace", "OpensMeasurableSpace", "...
true
_private.Mathlib.MeasureTheory.Measure.Prokhorov.0.isCompact_setOf_finiteMeasure_mass_le_compl_isCompact_le._simp_1_6
Mathlib.MeasureTheory.Measure.Prokhorov
[ "NegZeroClass.toNeg", "abs", "AddCommGroup.toAddCommMonoid", "abs_le", "LinearOrder", "PartialOrder.toPreorder", "Preorder.toLE", "AddCommGroup.toAddGroup", "SemilatticeInf.toPartialOrder", "AddCommGroup", "DistribLattice.toLattice", "SubtractionMonoid.toSubNegZeroMonoid", "LE.le", "SubNeg...
false
Std.HashSet.Raw.get?_diff_of_not_mem_right
Std.Data.HashSet.RawLemmas
[ "Std.HashSet.Raw.inner", "Std.HashSet.Raw.get?", "Membership.mem", "Std.HashSet.Raw.WF", "LawfulHashable", "SDiff.sdiff", "Unit", "EquivBEq", "Std.HashSet.Raw.WF.out", "Std.HashSet.Raw.instMembershipOfBEqOfHashable", "Hashable", "BEq", "Eq", "Not", "Std.HashMap.Raw.getKey?_diff_of_not_me...
true
Nat.zeckendorf.match_1
Mathlib.Data.Nat.Fib.Zeckendorf
[ "Unit.unit", "namedPattern", "instOfNatNat", "instHAdd", "Unit", "HAdd.hAdd", "Nat", "instAddNat", "Eq.refl", "OfNat.ofNat", "Nat.succ", "Eq", "Nat.casesOn" ]
false
SeminormedCommRing.induced
Mathlib.Analysis.Normed.Ring.Basic
[ "SeminormedRing.induced._proof_9", "Norm.norm", "SeminormedAddGroup.toNorm", "CommRing", "SeminormedCommRing.induced._proof_1", "NonUnitalCommRing.toNonUnitalNonAssocCommRing", "CommRing.toNonUnitalCommRing", "PseudoMetricSpace.toBornology", "SeminormedCommRing", "SeminormedCommRing.induced._proof...
true
Std.TreeMap.Raw.Equiv.getElem_eq
Std.Data.TreeMap.Raw.Lemmas
[ "Std.DTreeMap.Raw.Equiv.constGet_eq", "GetElem?.toGetElem", "Std.TreeMap.Raw.WF.out", "Std.TreeMap.Raw.Equiv.inner", "Membership.mem", "Ordering", "Std.TreeMap.Raw.instMembership", "Std.TreeMap.Raw.Equiv", "Std.TransCmp", "Std.TreeMap.Raw.WF", "Std.TreeMap.Raw.inner", "GetElem.getElem", "Std...
true
AddMonoidHom.liftOfRightInverse_comp
Mathlib.Algebra.Group.Subgroup.Basic
[ "AddMonoidHom.liftOfRightInverse_comp_apply", "Equiv.instEquivLike", "AddMonoidHom.liftOfRightInverse", "AddMonoid.toAddZeroClass", "PartialOrder.toPreorder", "AddSubgroup.instPartialOrder", "Preorder.toLE", "AddZeroClass.toAddZero", "Equiv", "Subtype", "LE.le", "AddMonoidHom.ext", "AddSubgr...
true
CategoryTheory.SmallObject.functorMapSrc._proof_1
Mathlib.CategoryTheory.SmallObject.Construction
[ "CategoryTheory.Category.assoc", "CategoryTheory.SmallObject.FunctorObjIndex.i", "CategoryTheory.SmallObject.FunctorObjIndex", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "CategoryTheory.Arrow.Hom.right", "congrArg", "CategoryTheory.Arrow.w_mk_right", "CategoryTheory.SmallObject.FunctorO...
false
dif_eq_if
Init.ByCases
[ "Decidable.isTrue", "Decidable", "_private.Init.ByCases.0.dif_eq_if.match_1_1", "dite", "Decidable.isFalse", "Eq", "Not", "rfl", "ite" ]
true
CategoryTheory.Limits.CatCospanTransform.mk
Mathlib.CategoryTheory.Limits.Shapes.Pullback.Categorical.CatCospanTransform
[ "CategoryTheory.Functor", "CategoryTheory.Limits.CatCospanTransform.squareRight._autoParam", "CategoryTheory.Limits.CatCospanTransform.mk", "autoParam", "CategoryTheory.Limits.CatCospanTransform.squareLeft._autoParam", "CategoryTheory.CatCommSq", "CategoryTheory.Limits.CatCospanTransform", "CategoryTh...
true
List.forall_getElem
Init.Data.List.Lemmas
[ "Membership.mem", "GetElem.getElem", "List", "Iff", "List.instMembership", "Nat", "LT.lt", "List.forall_mem_iff_forall_getElem", "instLTNat", "List.instGetElemNatLtLength", "List.length", "Iff.symm" ]
true
AlgebraicGeometry.Etale.instFormallyUnramified
Mathlib.AlgebraicGeometry.Morphisms.Etale
[ "AlgebraicGeometry.SheafedSpace.instTopologicalSpaceCarrierCarrier", "AlgebraicGeometry.Scheme", "CommRingCat.Hom.hom", "Opposite", "CommRingCat.carrier", "AlgebraicGeometry.PresheafedSpace.carrier", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "TopologicalSpace.Opens.instPartialOrder", ...
true
Setoid.sInf_iff
Mathlib.Data.Setoid.Basic
[ "Iff.rfl", "Membership.mem", "Setoid", "Iff", "Setoid.instInfSet", "Set.instMembership", "InfSet.sInf", "Setoid.r", "Set" ]
true
Std.HashSet.Raw.get?_union
Std.Data.HashSet.RawLemmas
[ "Std.HashMap.Raw.getKey?_union", "Std.HashSet.Raw.inner", "Std.HashSet.Raw.get?", "Std.HashSet.Raw.WF", "Option.or", "LawfulHashable", "Std.HashSet.Raw.instUnionOfBEqOfHashable", "Unit", "EquivBEq", "Std.HashSet.Raw.WF.out", "Hashable", "Union.union", "BEq", "Eq", "Std.HashSet.Raw", "O...
true
Lean.Meta.mkAuxTheorem
Lean.Meta.Closure
[ "Pure.pure", "Lean.mkAppN", "Lean.Meta.State", "Lean.Meta.mkAuxLemma", "Lean.Expr", "Lean.Meta.MetaM", "IO.RealWorld", "Lean.Meta.Closure.MkValueTypeClosureResult.levelArgs", "Lean.Level", "Applicative.toPure", "Array.toList", "Lean.mkConst", "Bool.true", "Option.none", "Lean.Core.CoreM"...
true
_private.Init.Data.Order.Ord.0.Std.instLawfulBEqOrd._simp_1
Init.Data.Order.Ord
[ "Ordering", "Ordering.eq", "Ordering.isEq", "Bool.true", "propext", "Bool", "Eq", "Ordering.isEq_iff_eq_eq" ]
false
IsApproximateSubgroup.mk
Mathlib.Combinatorics.Additive.ApproximateSubgroup
[ "Real", "InvOneClass.toOne", "DivInvOneMonoid.toInvOneClass", "Group", "Group.toDivisionMonoid", "Membership.mem", "DivisionMonoid.toDivInvOneMonoid", "IsApproximateSubgroup.mk", "Set.monoid", "DivInvMonoid.toMonoid", "instOfNatNat", "Monoid.toPow", "Group.toDivInvMonoid", "Inv.inv", "HP...
true
UniformContinuous.add_const
Mathlib.Topology.Algebra.IsUniformGroup.Defs
[ "UniformContinuous", "UniformSpace", "AddMonoid.toAddZeroClass", "AddZeroClass.toAddZero", "UniformContinuous.add", "uniformContinuous_const", "IsUniformAddGroup", "instHAdd", "AddGroup", "AddGroup.toSubNegMonoid", "HAdd.hAdd", "AddZero.toAdd", "SubNegMonoid.toAddMonoid" ]
true
List.mkSlice_ric_eq_mkSlice_rio
Init.Data.Slice.List.Lemmas
[ "Std.Ric.Sliceable.mkSlice", "instSliceableListNatListSlice_6", "Std.Rio.mk", "List.toSlice", "instOfNatNat", "Std.Ric.mk", "List", "instHAdd", "instSliceableListNatListSlice_7", "HAdd.hAdd", "Nat", "ListSlice", "eq_self", "of_eq_true", "instAddNat", "Std.Rio.Sliceable.mkSlice", "OfN...
true
mul_left_cancel
Mathlib.Algebra.Group.Defs
[ "HMul.hMul", "IsLeftCancelMul.mul_left_cancel", "IsLeftCancelMul", "Mul", "Eq", "instHMul" ]
true
AddCommGrpCat.Hom.hom.eq_1
Mathlib.Algebra.Category.Grp.Basic
[ "AddCommGrpCat.instCategory", "CategoryTheory.ConcreteCategory.hom", "AddMonoid.toAddZeroClass", "AddCommGroup.toAddGroup", "AddCommGrpCat.instConcreteCategoryAddMonoidHomCarrier", "AddZeroClass.toAddZero", "AddCommGrpCat.Hom", "AddCommGrpCat.carrier", "AddGroup.toSubNegMonoid", "AddCommGrpCat", ...
true
Lean.Data.AC.EvalInformation.arbitrary
Init.Data.AC
[ "Lean.Data.AC.EvalInformation" ]
true
Polynomial.eval.eq_1
Mathlib.Algebra.Polynomial.Eval.Defs
[ "Polynomial.eval", "Polynomial.eval₂", "Polynomial", "Semiring", "Eq.refl", "RingHom.id", "Semiring.toNonAssocSemiring", "Eq" ]
true
_private.Init.PropLemmas.0.and_right_comm.match_1_1
Init.PropLemmas
[ "And.casesOn", "And", "And.intro" ]
false
CommRingCat.Colimits.Prequotient.recOn
Mathlib.Algebra.Category.Ring.Colimits
[ "CategoryTheory.Functor", "CommRingCat.Colimits.Prequotient.rec", "CommRingCat.carrier", "CommRingCat", "CommRingCat.instCategory", "CategoryTheory.SmallCategory", "CommRingCat.Colimits.Prequotient.add", "CommRingCat.Colimits.Prequotient.mul", "CommRingCat.Colimits.Prequotient", "CommRingCat.Colim...
false
_private.Mathlib.Algebra.Order.BigOperators.Ring.List.0.CanonicallyOrderedAdd.list_prod_pos.match_1_1
Mathlib.Algebra.Order.BigOperators.Ring.List
[ "Unit.unit", "List.cons", "List", "Unit", "List.casesOn", "List.nil" ]
false
_private.Lean.Elab.Tactic.Induction.0.Lean.Elab.Tactic.elabFunTarget.match_3
Lean.Elab.Tactic.Induction
[ "Unit.unit", "Lean.Meta.FunIndParamKind.target", "Lean.Meta.FunIndParamKind.dropped", "Lean.Meta.FunIndParamKind.param", "Unit", "Lean.Meta.FunIndParamKind", "Lean.Meta.FunIndParamKind.casesOn" ]
false
ZeroAtInftyContinuousMap.instNonUnitalCStarAlgebra._proof_5
Mathlib.Analysis.CStarAlgebra.ContinuousMap
[ "NonUnitalCStarAlgebra.toNonUnitalNormedRing", "instSMulOfMul", "IsTopologicalRing.toIsTopologicalSemiring", "ZeroAtInftyContinuousMap.instSMul", "NormedSpace.toModule", "Complex.instNormedField", "PseudoMetricSpace.toUniformSpace", "Module.toMulActionWithZero", "NonUnitalNonAssocSemiring.toMulZeroC...
false
MonoidAlgebra.comapDistribMulActionSelf._proof_4
Mathlib.Algebra.MonoidAlgebra.Module
[ "NonAssocSemiring.toAddCommMonoidWithOne", "instHSMul", "Finsupp.comapDistribMulAction._proof_2", "AddMonoid.toAddSemigroup", "Monoid.toMulOneClass", "Finsupp.mapDomain", "AddMonoid.toAddZeroClass", "Group", "AddZeroClass.toAddZero", "DivInvMonoid.toMonoid", "SMul.mk", "AddCommMonoidWithOne.to...
false
Lean.Elab.Tactic.Do.SplitInfo
Lean.Elab.Tactic.Do.VCGen.Split
[ "Lean.Elab.Tactic.Do.SplitInfo.ite", "Lean.Elab.Tactic.Do.SplitInfo.matcher", "Lean.Elab.Tactic.Do.SplitInfo.dite" ]
true
MultilinearMap.mkPiAlgebraFin_apply_const
Mathlib.LinearAlgebra.Multilinear.Basic
[ "NonAssocSemiring.toAddCommMonoidWithOne", "List.replicate", "congrArg", "CommSemiring.toSemiring", "List.ofFn", "Algebra", "MultilinearMap.mkPiAlgebraFin", "Algebra.toModule", "AddCommMonoidWithOne.toAddMonoidWithOne", "List.ofFn_const", "MultilinearMap", "instDistribOfSemiring", "Monoid.to...
true
MulLECancellable.mul_le_mul_iff_right
Mathlib.Algebra.Order.Monoid.Unbundled.Basic
[ "Eq.mpr", "HMul.hMul", "congrArg", "Iff.rfl", "Mul", "MulLeftMono", "id", "LE.le", "LE", "IsMulCommutative", "Iff", "mul_comm'", "propext", "MulLECancellable", "MulLECancellable.mul_le_mul_iff_left", "Eq", "instHMul" ]
true
ZNum.zero.sizeOf_spec
Mathlib.Data.Num.Basic
[ "ZNum._sizeOf_inst", "instOfNatNat", "ZNum.zero", "ZNum", "Nat", "SizeOf.sizeOf", "Eq.refl", "OfNat.ofNat", "Eq" ]
true
preNormEDS_one
Mathlib.NumberTheory.EllipticDivisibilitySequence
[ "Int.cast", "CommRing", "HMul.hMul", "congrArg", "CommSemiring.toSemiring", "AddGroupWithOne.toAddMonoidWithOne", "Int.sign", "Int", "AddGroupWithOne.toIntCast", "MulZeroOneClass.toMulOneClass", "instDistribOfSemiring", "instMulZeroOneClassOfSemiring", "AddMonoidWithOne.toOne", "CommRing.t...
true
Filter.Germ.instAddMonoidWithOne._proof_4
Mathlib.Order.Filter.Germ.Basic
[ "Filter.Germ.ofFun", "AddMonoid.toAddSemigroup", "congrArg", "Filter.Germ.instAddMonoidWithOne._proof_2", "Pi.instNatCast", "AddMonoidWithOne.toNatCast", "instOfNatNat", "Nat.cast", "AddMonoidWithOne.toOne", "instHAdd", "AddSemigroup.toAdd", "HAdd.hAdd", "Filter.Germ", "Nat", "One.toOfNa...
false
_private.Mathlib.NumberTheory.ModularForms.EisensteinSeries.QExpansion.0.summable_pow_mul_cexp._simp_1_1
Mathlib.NumberTheory.ModularForms.EisensteinSeries.QExpansion
[ "Real", "Asymptotics.IsBigO", "Complex.instNorm", "Norm", "Complex.ofReal", "propext", "Complex.isBigO_ofReal_right", "Complex", "Eq.symm", "Eq", "Filter", "Real.norm" ]
false
FirstOrder.Language.Substructure.comap._proof_1
Mathlib.ModelTheory.Substructures
[ "Eq.mpr", "congrArg", "FirstOrder.Language.Substructure.fun_mem", "Function.comp", "Membership.mem", "FirstOrder.Language.Substructure.instSetLike", "id", "FirstOrder.Language.Hom", "FirstOrder.Language.Substructure", "FirstOrder.Language.Hom.map_fun", "FirstOrder.Language.Structure", "SetLike...
false
Lean.Elab.Term.Quotation.HeadInfo.casesOn
Lean.Elab.Quotation
[ "Lean.Elab.Term.Quotation.HeadCheck", "Lean.Syntax.Term", "List", "Lean.Elab.Term.TermElabM", "Lean.Elab.Term.Quotation.HeadInfo", "Lean.Elab.Term.Quotation.HeadInfo.mk", "Lean.Elab.Term.Quotation.MatchResult", "Lean.Elab.Term.Quotation.HeadInfo.rec" ]
false
PrimrecPred.of_eq
Mathlib.Computability.Primrec.Basic
[ "Eq.rec", "funext", "Iff", "propext", "Primcodable", "Eq", "PrimrecPred" ]
true
ContMDiffAt.sum_section
Mathlib.Geometry.Manifold.VectorBundle.ContMDiffSection
[ "Eq.mpr", "Prod.normedSpace", "ContMDiffWithinAt", "Prod.normedAddCommGroup", "NormedSpace", "FiberBundle", "AddCommGroup.toAddCommMonoid", "Finset", "Set.univ", "ContMDiffWithinAt.sum_section", "PseudoMetricSpace.toUniformSpace", "Membership.mem", "NormedField.toField", "_private.Mathlib....
true
Pi.borelSpace
Mathlib.MeasureTheory.Constructions.BorelSpace.Basic
[ "Pi.topologicalSpace", "OpensMeasurableSpace.borel_le", "MeasurableSpace.instPartialOrder", "SecondCountableTopology", "BorelSpace", "Pi.opensMeasurableSpace", "borel", "MeasurableSpace", "TopologicalSpace", "le_antisymm", "BorelSpace.opensMeasurable", "pi_le_borel_pi", "MeasurableSpace.pi",...
true
Std.DTreeMap.Internal.Impl.size_containsThenInsert_eq_size
Std.Data.DTreeMap.Internal.WF.Lemmas
[ "Ord", "Std.DTreeMap.Internal.Impl.rec", "Std.DTreeMap.Internal.Impl.size", "Std.DTreeMap.Internal.Impl.inner", "Std.DTreeMap.Internal.Impl.leaf", "Nat", "Eq.refl", "Std.DTreeMap.Internal.Impl.containsThenInsert.size", "Eq", "Std.DTreeMap.Internal.Impl" ]
true
Int.tmod_eq_emod_of_nonneg
Init.Data.Int.DivMod.Lemmas
[ "Int.tmod", "Int.instDiv", "instHDiv", "HMul.hMul", "Int.tdiv_eq_ediv_of_nonneg", "Int.tmod_def", "congrArg", "HSub.hSub", "HDiv.hDiv", "instHMod", "Int", "LE.le", "Int.instMul", "Int.tdiv", "HMod.hMod", "instHSub", "instOfNat", "congr", "True", "eq_self", "of_eq_true", "In...
true
_private.Mathlib.FieldTheory.IntermediateField.Adjoin.Basic.0.IntermediateField.exists_finset_of_mem_adjoin._simp_1_1
Mathlib.FieldTheory.IntermediateField.Adjoin.Basic
[ "iSup", "iSup_subtype''", "Membership.mem", "Set.Elem", "CompleteSemilatticeSup.toSupSet", "CompleteLattice.toCompleteSemilatticeSup", "Eq.symm", "CompleteLattice", "Subtype.val", "Eq", "Set.instMembership", "Set" ]
false
ENorm
Mathlib.Analysis.Normed.Group.Defs
[ "ENorm.mk" ]
true
MvPowerSeries.hasSum_eval₂
Mathlib.RingTheory.MvPowerSeries.Evaluation
[ "UniformSpace", "Eq.mpr", "MvPowerSeries.eval₂_coe", "RingHom.instRingHomClass", "HasSum.map", "Nat.instMulZeroClass", "CommRing", "Continuous", "NonUnitalCommRing.toNonUnitalNonAssocCommRing", "CompleteSpace", "RingHomClass.toAddMonoidHomClass", "Semiring.toModule", "HMul.hMul", "MvPowerS...
true
WithCStarModule.norm_single
Mathlib.Analysis.CStarAlgebra.Module.Constructions
[ "Real.instIsOrderedRing", "Norm.norm", "Eq.mpr", "NonUnitalNormedRing.toNorm", "Real.partialOrder", "Real", "NonUnitalCStarAlgebra.toNonUnitalNormedRing", "Equiv.instEquivLike", "Inner.inner", "congrArg", "AddCommGroup.toAddCommMonoid", "SMul", "NormedSpace.toModule", "Pi.module", "Compl...
true
StrictConcaveOn.lt_map_sum_iff_of_nonneg'
Mathlib.Analysis.Convex.Jensen
[ "OrderDual.toDual", "StrictConcaveOn", "instHSMul", "Preorder.toLT", "Equiv.instEquivLike", "OrderDual.instIsStrictOrderedModule", "DistribMulAction.toDistribSMul", "AddCommGroup.toAddCommMonoid", "Finset", "LinearOrder", "AddMonoid.toAddZeroClass", "PartialOrder.toPreorder", "AddGroupWithOn...
true
Lean.Meta.InductionSubgoal.mk
Lean.Meta.Tactic.Induction
[ "Lean.Meta.InductionSubgoal", "Lean.MVarId", "Lean.Expr", "Array", "Lean.Meta.FVarSubst", "Lean.Meta.InductionSubgoal.mk" ]
true
SetRel.instIsIrreflSetOfProdMatch_1PropOfIrrefl
Mathlib.Data.Rel
[ "Std.Irrefl", "setOf", "SetRel.id.match_1", "SetRel.IsIrrefl", "Prod" ]
true
_private.Lean.Server.CodeActions.Basic.0.Lean.Server.evalCodeActionProviderUnsafe
Lean.Server.CodeActions.Basic
[ "Lean.Server.CodeActionProvider", "Lean.Name.mkStr3", "Lean.MonadError", "Lean.Name", "Lean.evalConstCheck", "Lean.MonadEnv", "Monad", "Lean.MonadOptions" ]
true
IccLeftChart._proof_3
Mathlib.Geometry.Manifold.Instances.Real
[ "Iff.mpr", "AddGroup.toSubtractionMonoid", "Real.instLE", "Real", "covariant_swap_add_of_covariant_add", "HSub.hSub", "Preorder.toLE", "Membership.mem", "Set.Elem", "Fin.instOfNat", "Real.instAddGroup", "SubtractionMonoid.toSubNegZeroMonoid", "instOfNatNat", "LE.le", "SubNegZeroMonoid.to...
false
_private.Init.Data.Range.Polymorphic.Iterators.0.Std.Rio.Internal.isPlausibleIndirectOutput_iter_iff._simp_1_1
Init.Data.Range.Polymorphic.Iterators
[ "Std.PRange.UpwardEnumerable", "Std.PRange.LawfulUpwardEnumerableLT", "Std.PRange.UpwardEnumerable.LT", "LT.lt", "propext", "Std.PRange.LawfulUpwardEnumerableLT.lt_iff", "Eq", "LT" ]
false
Lean.Server.RequestHandler.mk.injEq
Lean.Server.Requests
[ "Lean.Json", "Lean.Server.RequestHandler.mk.inj", "Lean.Server.RequestError", "Eq.propIntro", "Lean.Server.RequestM", "Lean.injEq_helper", "Lean.Server.RequestHandler.mk", "Lean.Server.RequestHandler", "Lean.Lsp.DocumentUri", "And", "Lean.Server.SerializedLspResponse", "Eq.ndrec", "Eq.refl",...
true
CategoryTheory.Monad.monToMonad_map_toNatTrans
Mathlib.CategoryTheory.Monad.EquivMon
[ "CategoryTheory.Monad", "CategoryTheory.Functor", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "CategoryTheory.Mon.Hom.hom", "CategoryTheory.Functor.category", "CategoryTheory.Monad.ofMon", "CategoryTheory.Functor.map", "CategoryTheory.Mon", "CategoryTheory.Mon.X", "CategoryTheory.Mon...
true
instCommRingBDeRhamPlus._aux_34
Mathlib.RingTheory.Perfectoid.BDeRham
[ "Submodule", "fontaineThetaInvertP", "Submodule.Quotient.addCommMonoid", "CommRing", "instHSMul", "Nat.Prime", "Semiring.toModule", "WittVector.instNatCast", "Submodule.Quotient.addCommGroup", "WittVector.instCommRing", "CommSemiring.toSemiring", "AddCommGroup.toAddCommMonoid", "AddGroupWith...
false
Subalgebra.LinearDisjoint.rank_inf_eq_one_of_commute_of_flat_right_of_inj
Mathlib.RingTheory.LinearDisjoint
[ "Subalgebra.instSetLike", "CommRing", "Cardinal.instOne", "Algebra.algebraMap", "Cardinal", "CommSemiring.toSemiring", "Algebra.instCompleteLatticeSubalgebra", "Algebra", "Commute", "RingHom", "Membership.mem", "CompleteLattice.toConditionallyCompleteLattice", "Subtype", "SemilatticeInf.to...
true
Subalgebra.toSubmoduleEquiv
Mathlib.Algebra.Algebra.Subalgebra.Basic
[ "Subalgebra.instSetLike", "Submodule", "CommSemiring.toSemiring", "Submodule.addCommMonoid", "PartialOrder.toPreorder", "Algebra", "Preorder.toLE", "Subalgebra.toSubmoduleEquiv._proof_1", "Membership.mem", "Algebra.toModule", "Subtype", "Submodule.instPartialOrder", "Submodule.module", "Li...
true
CategoryTheory.Limits.instLaxMonoidalFunctorLim._proof_13
Mathlib.CategoryTheory.Monoidal.Limits.Basic
[ "CategoryTheory.Limits.limit.π", "CategoryTheory.Functor", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "CategoryTheory.Limits.HasLimitsOfShape", "CategoryTheory.MonoidalCategory", "CategoryTheory.Functor.category", "CategoryTheory.Limits.instLaxMonoidalFunctorLim._proof_2", "CategoryTheo...
false
Submodule.fst_orthogonalDecomposition_apply
Mathlib.Analysis.InnerProductSpace.ProdL2
[ "LinearIsometryEquiv.instEquivLike", "NormedCommRing.toNormedRing", "WithLp", "InnerProductSpace.toNormedSpace", "Submodule", "fact_one_le_two_ennreal", "NormedRing.toRing", "congrArg", "AddCommGroup.toAddCommMonoid", "ContinuousLinearMap.funLike", "Submodule.addCommMonoid", "NormedSpace.toMod...
true
FirstOrder.Language.Term.varsToConstants.eq_2
Mathlib.ModelTheory.Syntax
[ "FirstOrder.Language.Constants.term", "FirstOrder.Language.Term", "Sum", "FirstOrder.Language.withConstants", "instOfNatNat", "Sum.inl", "FirstOrder.Language.constantsOn", "FirstOrder.Language.Term.var", "Sum.inr", "Nat", "FirstOrder.Language.Term.varsToConstants", "FirstOrder.Language.Functio...
true
Nat.floor_add_ofNat
Mathlib.Algebra.Order.Floor.Semiring
[ "NonAssocSemiring.toAddCommMonoidWithOne", "Nat.floor_add_natCast", "LinearOrder", "PartialOrder.toPreorder", "IsStrictOrderedRing", "Preorder.toLE", "SemilatticeInf.toPartialOrder", "DistribLattice.toLattice", "Distrib.toAdd", "AddMonoidWithOne.toNatCast", "instOfNatNat", "AddCommMonoidWithOn...
true
ENat.coe_sSup
Mathlib.Data.ENat.Lattice
[ "instCompleteLinearOrderENat", "ENat.instNatCast", "WithTop.coe_sSup", "iSup", "Membership.mem", "ConditionallyCompleteLinearOrder.toConditionallyCompleteLattice", "instLENat", "Nat.cast", "BddAbove", "CompleteLinearOrder.toConditionallyCompleteLinearOrderBot", "Nat", "ENat", "Nat.instSupSet...
true
_private.Aesop.Util.UnorderedArraySet.0.Aesop.UnorderedArraySet.mk.inj
Aesop.Util.UnorderedArraySet
[ "_private.Aesop.Util.UnorderedArraySet.0.Aesop.UnorderedArraySet.mk", "_private.Aesop.Util.UnorderedArraySet.0.Aesop.UnorderedArraySet.mk.noConfusion", "Array", "Aesop.UnorderedArraySet", "eq_of_heq", "HEq", "BEq", "Eq" ]
true
StandardEtalePresentation._sizeOf_inst
Mathlib.RingTheory.Etale.StandardEtale
[ "CommRing", "CommSemiring.toSemiring", "Algebra", "StandardEtalePresentation._sizeOf_1", "CommRing.toCommSemiring", "SizeOf.mk", "SizeOf", "StandardEtalePresentation" ]
false
Lean.Elab.Tactic.BVDecide.Frontend.Normalize.bv_add
Lean.Elab.Tactic.BVDecide.Frontend.Normalize.Simproc
[ "Pure.pure", "_private.Lean.Elab.Tactic.BVDecide.Frontend.Normalize.Simproc.0.Lean.Elab.Tactic.BVDecide.Frontend.Normalize.bv_and.match_1", "Unit.unit", "bne", "_private.Lean.Elab.Tactic.BVDecide.Frontend.Normalize.Simproc.0.Lean.Elab.Tactic.BVDecide.Frontend.Normalize.BitVec.mkOr", "Lean.Meta.getNatValue...
true
Std.DTreeMap.Internal.Impl.filter_eq_filter!
Std.Data.DTreeMap.Internal.WF.Lemmas
[ "Std.DTreeMap.Internal.Impl.minView._proof_9", "Std.DTreeMap.Internal.Impl.BalancedTree.mk", "Ord", "Std.DTreeMap.Internal.Impl.link", "congrArg", "Std.DTreeMap.Internal.Impl.rec", "Std.DTreeMap.Internal.Impl.BalancedTree.balanced_impl", "Std.DTreeMap.Internal.Impl.minView._proof_11", "Std.DTreeMap....
true
Quiver.Path.instSubsingletonBddPaths
Mathlib.Combinatorics.Quiver.Path
[ "False", "_private.Mathlib.Combinatorics.Quiver.Path.0.Quiver.Path.instSubsingletonBddPaths.match_1", "Quiver.Hom", "Quiver.Path.nil", "congrArg", "False.elim", "Nat.add_eq_zero_iff._simp_1", "Quiver.Path.BoundedPaths", "Eq.mp", "instOfNatNat", "LE.le", "instLENat", "Quiver.Path", "Subtype...
true
SemiNormedGrp.id_apply
Mathlib.Analysis.Normed.Group.SemiNormedGrp
[ "NormedAddGroupHom", "congrArg", "CategoryTheory.ConcreteCategory.hom", "SemiNormedGrp.instConcreteCategoryNormedAddGroupHomCarrier", "CategoryTheory.CategoryStruct.id", "NormedAddGroupHom.funLike", "NormedAddGroupHom.id_apply", "SemiNormedGrp.carrier", "True", "eq_self", "of_eq_true", "SemiNo...
true
List.findFinIdx?_eq_bind_find?_finIdxOf?
Init.Data.List.Find
[ "Iff.mpr", "Eq.mpr", "Fin.mk.injEq", "List.finIdxOf?_eq_pmap_idxOf?", "List.idxOf?_eq_some_iff._proof_2", "Iff.of_eq", "congrArg", "and_self", "List.find?", "Option.some.injEq", "_private.Init.Data.List.Find.0.List.findFinIdx?_eq_bind_find?_finIdxOf?._simp_1_2", "Option.some", "LawfulBEq", ...
true