name
stringlengths
2
347
module
stringlengths
6
90
deps
listlengths
0
692
allowCompletion
bool
2 classes
MonoidAlgebra.mapDomainAlgHom._proof_1
Mathlib.Algebra.MonoidAlgebra.Basic
[ "MonoidAlgebra.semiring", "Monoid", "MonoidHom.instMonoidHomClass", "MulOne.toOne", "MonoidHom.instFunLike", "Algebra.algebraMap", "MonoidHom", "Monoid.toMulOneClass", "congrArg", "CommSemiring.toSemiring", "Finsupp.mapDomain", "AddMonoid.toAddZeroClass", "Algebra", "RingHom", "MonoidHom...
false
Real.BohrMollerup.logGammaSeq
Mathlib.Analysis.SpecialFunctions.Gamma.BohrMollerup
[ "Real", "HMul.hMul", "Real.instSub", "HSub.hSub", "instOfNatNat", "Nat.cast", "Real.log", "Real.instAdd", "Finset.range", "instHAdd", "instHSub", "HAdd.hAdd", "Nat.factorial", "Nat", "Real.instMul", "Real.instAddCommMonoid", "instAddNat", "OfNat.ofNat", "Finset.sum", "instHMul"...
true
MeasureTheory.AEEqFun.compMeasurable_mk
Mathlib.MeasureTheory.Function.AEEqFun
[ "AEMeasurable.aestronglyMeasurable", "TopologicalSpace.PseudoMetrizableSpace", "MeasureTheory.AEStronglyMeasurable.aemeasurable", "MeasureTheory.Measure", "SecondCountableTopology", "Measurable", "Function.comp", "BorelSpace", "MeasureTheory.AEEqFun", "MeasurableSpace", "TopologicalSpace", "Op...
true
Std.Internal.List.containsKey_modifyKey
Std.Data.Internal.List.Associative
[ "Eq.mpr", "_private.Std.Data.Internal.List.Associative.0.Std.Internal.List.alterKey.match_1.splitter", "Std.Internal.List.replaceEntry", "congrArg", "Std.Internal.List.getValueCast?", "Std.Internal.List.containsKey_nil", "Option.some", "LawfulBEq", "id", "List.rec", "List.cons", "Option.none",...
true
Std.ExtHashMap.getKeyD_diff_of_not_mem_left
Std.Data.ExtHashMap.Lemmas
[ "Std.ExtDHashMap.getKeyD_diff_of_not_mem_left", "Std.ExtHashMap.inner", "Membership.mem", "Std.ExtHashMap.instSDiffOfEquivBEqOfLawfulHashable", "Std.ExtHashMap.getKeyD", "LawfulHashable", "Std.ExtHashMap", "SDiff.sdiff", "EquivBEq", "Hashable", "Std.ExtHashMap.instMembershipOfEquivBEqOfLawfulHas...
true
Subsemigroup.closure_univ
Mathlib.Algebra.Group.Subsemigroup.Basic
[ "Set.univ", "Mul", "Eq.rec", "SetLike.coe", "Subsemigroup.instTop", "Subsemigroup", "Subsemigroup.closure_eq", "Subsemigroup.coe_top", "Top.top", "Subsemigroup.instSetLike", "Eq", "Set", "Subsemigroup.closure" ]
true
String.Slice.beq_eq_decide
Init.Data.String.Lemmas.Slice
[ "Iff.mpr", "congrArg", "String", "String.Slice.beq_eq_true_iff._simp_1", "String.Slice", "Bool.eq_iff_iff", "iff_self", "Bool.true", "String.Slice.copy", "BEq.beq", "Iff", "String.Slice.instBEq", "congr", "True", "instDecidableEqString", "Bool", "of_eq_true", "decide_eq_true_eq", ...
true
analyticAt_clog
Mathlib.Analysis.SpecialFunctions.Complex.Analytic
[ "Eq.mpr", "InnerProductSpace.toNormedSpace", "NormedCommRing.toSeminormedCommRing", "Complex.log", "Semiring.toModule", "Complex.instNormedAddCommGroup", "DifferentiableAt.clog", "Complex.isOpen_slitPlane", "congrArg", "DifferentiableAt", "IsOpen.eventually_mem", "Filter.Eventually", "Normed...
true
Rat.sub_den_dvd
Mathlib.Data.Rat.Lemmas
[ "Nat.lcm", "Rat.instSub", "Dvd.dvd", "HMul.hMul", "Rat", "HSub.hSub", "Rat.den", "instMulNat", "Nat.instSemigroup", "Rat.sub_den_dvd_lcm", "instHSub", "Nat.instDvd", "Nat", "Nat.lcm_dvd_mul", "Dvd.dvd.trans", "instHMul" ]
true
CategoryTheory.SimplicialObject.Augmented.w_app_assoc
Mathlib.AlgebraicTopology.SimplicialObject.Basic
[ "CategoryTheory.Category.assoc", "CategoryTheory.Comma.right", "Opposite", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "congrArg", "CategoryTheory.SimplicialObject.const", "CategoryTheory.Functor.category", "CategoryTheory.Comma.left", "CategoryTheory.Functor.id", "Eq.mp", "Categor...
true
CategoryTheory.Mon.ofHom_hom
Mathlib.CategoryTheory.Monoidal.Mon
[ "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "CategoryTheory.MonoidalCategory", "CategoryTheory.Mon.Hom.hom", "CategoryTheory.IsMonHom", "CategoryTheory.Mon.ofHom", "Eq.refl", "CategoryTheory.Category.toCategoryStruct", "CategoryTheory.MonObj", "Eq", "CategoryTheory.Category", "Cate...
true
Std.Time.Fraction.ctorElimType
Std.Time.Format.Basic
[ "cond", "Std.Time.Fraction", "Nat.ble", "Std.Time.Fraction.nano", "PULift", "Nat", "Std.Time.Fraction.truncated" ]
false
MulAlgebraNorm._sizeOf_1
Mathlib.Analysis.Normed.Unbundled.AlgebraNorm
[ "MulAlgebraNorm", "Norm.norm", "SeminormedRing.toNorm", "Real", "instHSMul", "HMul.hMul", "SeminormedCommRing", "Ring.toNonAssocRing", "AddGroupWithOne.toAddGroup", "SeminormedCommRing.toCommRing", "MulRingNorm.toMulRingSeminorm", "Algebra", "MulRingNorm", "Algebra.toSMul", "instOfNatNat...
false
List.Subperm.cons_right
Batteries.Data.List.Perm
[ "List.Subperm.trans", "List.cons", "List", "List.Subperm", "List.sublist_cons_self", "List.Sublist.subperm" ]
true
Lean.Meta.Grind.EMatch.State.matchEqNames._default
Lean.Meta.Tactic.Grind.Types
[ "id", "Lean.PHashSet", "Lean.PersistentHashSet.instEmptyCollection", "Lean.Name", "EmptyCollection.emptyCollection", "Lean.Name.instBEq", "Lean.instHashableName" ]
false
PowerSeries.zero_weierstrassDiv
Mathlib.RingTheory.PowerSeries.WeierstrassPreparation
[ "CommRing", "MvPowerSeries.instZero", "Semiring.toModule", "CommSemiring.toSemiring", "PowerSeries.weierstrassDiv", "IsLocalRing.maximalIdeal", "IsLocalRing", "IsAdicComplete.toIsPrecomplete", "IsAdicComplete", "Unit", "CommRing.toCommSemiring", "Ring.toAddCommGroup", "Zero.toOfNat0", "Pow...
true
Std.DHashMap.Internal.Raw₀.isEmpty_keys
Std.Data.DHashMap.Internal.RawLemmas
[ "Std.DHashMap.Raw.WF", "Eq.mpr", "Std.DHashMap.Internal.Raw.WF.out", "congrArg", "Std.DHashMap.Raw", "id", "instOfNatNat", "Std.Internal.List.isEmpty_keys_eq_isEmpty", "LawfulHashable", "Std.DHashMap.Internal.Raw.keys_eq_keys_toListModel", "Std.DHashMap.Raw.keys", "List", "EquivBEq", "List...
true
_private.Mathlib.Order.Disjointed.0.partialSups_disjointed._simp_1_1
Mathlib.Order.Disjointed
[ "Nat.le_zero", "instOfNatNat", "LE.le", "instLENat", "Nat", "propext", "OfNat.ofNat", "Eq" ]
false
Function.locallyFinsuppWithin.toClosedBall_divisor
Mathlib.Analysis.Complex.ValueDistribution.LogCounting.Basic
[ "Int.instAddCommGroup", "InnerProductSpace.toNormedSpace", "NormedCommRing.toSeminormedCommRing", "Real", "trivial", "Real.lattice", "Meromorphic", "Complex.instNormedAddCommGroup", "abs", "congrArg", "Function.locallyFinsuppWithin.instAddMonoid", "Function.locallyFinsupp", "Set.univ", "Ad...
true
ModuleCat.instPreservesFiniteColimitsLocalizationLocalizedModuleFunctor
Mathlib.Algebra.Category.ModuleCat.Localization
[ "CategoryTheory.Abelian.toPreadditive", "CommRing", "CategoryTheory.Limits.PreservesFiniteLimits", "ModuleCat", "CommSemiring.toSemiring", "ModuleCat.localizedModuleFunctor", "CategoryTheory.ShortComplex", "List.instGetElem?NatLtLength", "Localization", "instOfNatNat", "List.cons", "MulZeroOne...
true
Right.inv_le_one_iff
Mathlib.Algebra.Order.Group.Unbundled.Basic
[ "Eq.mpr", "MulOne.toOne", "inv_mul_cancel", "InvOneClass.toOne", "HMul.hMul", "DivInvOneMonoid.toInvOneClass", "Monoid.toMulOneClass", "congrArg", "mul_le_mul_iff_right", "Group", "Group.toDivisionMonoid", "DivisionMonoid.toDivInvOneMonoid", "id", "MulOne.toMul", "DivInvMonoid.toMonoid",...
true
LinearMap.BilinForm.Isometry.map_app'
Mathlib.LinearAlgebra.BilinearForm.Isometry
[ "Semiring.toModule", "LinearMap.BilinForm", "CommSemiring.toSemiring", "LinearMap.instFunLike", "LinearMap.toAddHom", "LinearMap.module", "LinearMap", "AddCommMonoid", "CommSemiring", "NonUnitalNonAssocSemiring.toAddCommMonoid", "NonAssocSemiring.toNonUnitalNonAssocSemiring", "LinearMap.BilinF...
true
CategoryTheory.Triangulated.TStructure.natTransTruncLTOfLE_ι_app_assoc
Mathlib.CategoryTheory.Triangulated.TStructure.TruncLTGE
[ "CategoryTheory.Category.assoc", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "congrArg", "CategoryTheory.Functor.Additive", "CategoryTheory.shiftFunctor", "CategoryTheory.Functor.id", "Eq.mp", "CategoryTheory.Triangulated.TStructure.truncLTι", "id", "Mathlib.Tactic.Reassoc.eq_whisker...
true
_private.Mathlib.Topology.ShrinkingLemma.0.exists_iUnion_eq_closed_subset.match_1_1
Mathlib.Topology.ShrinkingLemma
[ "Set.univ", "Exists", "HasSubset.Subset", "And.casesOn", "IsClosed", "TopologicalSpace", "And", "Exists.casesOn", "And.intro", "Exists.intro", "Set.iUnion", "Set.instHasSubset", "Set" ]
false
CategoryTheory.Over.instHasFiniteCoproducts
Mathlib.CategoryTheory.Limits.Over
[ "CategoryTheory.Over", "CategoryTheory.Limits.HasColimitsOfShape", "CategoryTheory.Limits.hasColimitsOfShape_discrete", "CategoryTheory.Over.instHasColimitsOfShape", "inferInstance", "CategoryTheory.Limits.HasFiniteCoproducts", "CategoryTheory.instCategoryOver", "Finite.of_fintype", "Fin.fintype", ...
true
Finpartition.parts_top_subset
Mathlib.Order.Partition.Finpartition
[ "Finpartition.instOrderTopOfDecidableEqBot._proof_1", "Lattice", "Finpartition.instLE", "False", "_private.Mathlib.Order.Partition.Finpartition.0.Finpartition.parts_top_subset._simp_1_1", "congrArg", "Finpartition.copy", "Finset", "False.elim", "OrderBot.toBot", "PartialOrder.toPreorder", "Dec...
true
CochainComplex.triangleOfDegreewiseSplit
Mathlib.Algebra.Homology.HomotopyCategory.DegreewiseSplit
[ "HomologicalComplex.instCategory", "CochainComplex.cocycleOfDegreewiseSplit._proof_10", "CategoryTheory.ShortComplex", "AddGroupWithOne.toAddMonoidWithOne", "AddRightCancelSemigroup.toAddSemigroup", "CochainComplex.instHasShiftInt", "CategoryTheory.ShortComplex.X₁", "AddCancelMonoid.toAddRightCancelMo...
true
_private.Init.Data.SInt.Lemmas.0.Int8.toInt32_lt._simp_1_2
Init.Data.SInt.Lemmas
[ "Int", "Int32.toInt", "Int.instLTInt", "LT.lt", "propext", "Int32.lt_iff_toInt_lt", "instLTInt32", "Eq", "Int32" ]
false
Algebra.TensorProduct.comm._proof_2
Mathlib.RingTheory.TensorProduct.Maps
[ "CommSemiring.toSemiring", "DistribMulAction.toDistribSMul", "AddMonoid.toAddZeroClass", "Algebra", "AddZeroClass.toAddZero", "Algebra.toModule", "Algebra.id", "DistribSMul.toSMulZeroClass", "IsScalarTower.left", "CommSemiring", "NonUnitalNonAssocSemiring.toAddCommMonoid", "AddZero.toZero", ...
false
MeasureTheory.Measure.haar.addPrehaar_self
Mathlib.MeasureTheory.Measure.Haar.Basic
[ "GroupWithZero.toMonoidWithZero", "Real.partialOrder", "Real", "Preorder.toLT", "TopologicalSpace.PositiveCompacts.instSetLike", "Real.instZeroLEOneClass", "congrArg", "MeasureTheory.Measure.haar.addIndex", "AddMonoid.toAddZeroClass", "PartialOrder.toPreorder", "AddGroupWithOne.toAddMonoidWithOn...
true
CategoryTheory.Arrow.homMk_right
Mathlib.CategoryTheory.Comma.Arrow
[ "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "CategoryTheory.Functor.id", "CategoryTheory.Arrow.left", "CategoryTheory.Arrow.homMk._auto_1", "CategoryTheory.Arrow.hom", "autoParam", "CategoryTheory.CommaMorphism.right", "CategoryTheory.CategoryStruct.comp", "Eq.refl", "CategoryTheory....
true
Std.Time.Modifier.u.inj
Std.Time.Format.Basic
[ "Std.Time.Year", "Std.Time.Modifier", "Std.Time.Modifier.u", "Eq", "Std.Time.Modifier.u.noConfusion" ]
true
_private.Std.Data.DTreeMap.Internal.Balancing.0.Std.DTreeMap.Internal.Impl.balanceL.match_7.splitter
Std.Data.DTreeMap.Internal.Balancing
[ "Std.DTreeMap.Internal.Impl.Balanced", "Std.DTreeMap.Internal.Impl.size", "Std.DTreeMap.Internal.Impl.inner", "Std.DTreeMap.Internal.Impl.BalanceLPrecond", "Std.DTreeMap.Internal.Impl.leaf", "Nat", "Std.DTreeMap.Internal.Impl.balanceL.match_7", "Std.DTreeMap.Internal.Impl" ]
true
CategoryTheory.FreeBicategory.bicategory._proof_16
Mathlib.CategoryTheory.Bicategory.Free
[ "Quot.sound", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "CategoryTheory.FreeBicategory.categoryStruct", "CategoryTheory.FreeBicategory", "CategoryTheory.FreeBicategory.Rel", "CategoryTheory.FreeBicategory.Hom₂", "CategoryTheory.CategoryStruct.comp", "Quiver", "CategoryTheory.FreeBica...
false
Module.erange_coe
Mathlib.LinearAlgebra.Dual.Defs
[ "Iff.mpr", "Submodule", "RingHomSurjective.ids", "Semiring.toModule", "CommSemiring.toSemiring", "DistribMulAction.toDistribSMul", "Module.IsReflexive", "AddMonoid.toAddZeroClass", "LinearMap.instFunLike", "AddZeroClass.toAddZero", "LinearMap.range", "DistribSMul.toSMulZeroClass", "Submodule...
true
ONote.toString._sparseCasesOn_1.else_eq
Mathlib.SetTheory.Ordinal.Notation
[ "ONote.toString._sparseCasesOn_1", "ONote.ctorIdx", "ONote.oadd", "Nat.shiftRight", "ONote.zero", "Nat.hasNotBit", "instOfNatNat", "Bool.true", "Nat.land", "absurd", "Nat", "Bool", "Eq.ndrec", "Nat.eq_of_beq_eq_true", "Eq.refl", "OfNat.ofNat", "Eq.symm", "Eq", "ONote", "ONote.c...
false
FirstOrder.Language.Term.realize_substFunc
Mathlib.ModelTheory.Semantics
[ "FirstOrder.Language.Term.realize_function_term", "congrArg", "FirstOrder.Language.Functions.term", "FirstOrder.Language.Term.subst", "FirstOrder.Language.Term", "FirstOrder.Language.Term.realize_subst", "FirstOrder.Language.Term.func", "FirstOrder.Language.Term.rec", "funext", "FirstOrder.Languag...
true
Finmap
Mathlib.Data.Finmap
[ "Finmap.mk" ]
true
Batteries.HashMap.mk.inj
Batteries.Data.HashMap.Basic
[ "Batteries.HashMap.mk", "Std.HashMap", "eq_of_heq", "HEq", "Hashable", "BEq", "Eq", "Batteries.HashMap.mk.noConfusion", "Batteries.HashMap" ]
true
Born.instLargeCategory._proof_1
Mathlib.Topology.Category.Born
[ "Born", "Born.str", "id", "LocallyBoundedMap.comp", "LocallyBoundedMap", "Eq.refl", "Born.carrier", "Eq", "LocallyBoundedMap.id" ]
false
AddSubmonoid.prod_mono
Mathlib.Algebra.Group.Submonoid.Operations
[ "Prod.instAddZeroClass", "PartialOrder.toPreorder", "Preorder.toLE", "AddSubmonoid", "LE.le", "AddSubmonoid.prod", "AddZeroClass", "SetLike.coe", "Set.prod_mono", "Prod", "AddSubmonoid.instSetLike", "AddSubmonoid.instPartialOrder" ]
true
AlternatingMap.domDomCongr_apply
Mathlib.LinearAlgebra.Alternating.Basic
[ "AlternatingMap", "Equiv.instEquivLike", "Function.comp", "Equiv", "AddCommMonoid", "AlternatingMap.domDomCongr", "Semiring", "Eq.refl", "Module", "Eq", "DFunLike.coe", "EquivLike.toFunLike", "AlternatingMap.instFunLike" ]
true
IntermediateField.algebraAdjoinAdjoin.instAlgebraSubtypeMemSubalgebraAdjoinAdjoin
Mathlib.FieldTheory.IntermediateField.Adjoin.Algebra
[ "Subalgebra.instSetLike", "IntermediateField", "IntermediateField.toField", "Algebra", "Algebra.adjoin", "Membership.mem", "Subtype", "Subalgebra.inclusion", "Field.toSemifield", "Subalgebra.toCommSemiring", "Semifield.toDivisionSemiring", "AlgHom.toRingHom", "IntermediateField.adjoin", "S...
true
_private.Mathlib.Geometry.Manifold.Instances.Real.0.boundary_Icc._simp_1_1
Mathlib.Geometry.Manifold.Instances.Real
[ "Compl.compl", "Membership.mem", "Set.instCompl", "propext", "Eq.symm", "Eq", "Set.instMembership", "Not", "Set.mem_compl_iff", "Set" ]
false
Primrec.nat_omega_rec'
Mathlib.Computability.Primrec.List
[ "Iff.mpr", "Primrec₂.left", "not_lt_zero._simp_1", "Eq.mpr", "False", "Nat.instMulZeroClass", "Nat.instOrderedSub", "Nat.recAux", "Nat.instIsOrderedAddMonoid", "LinearOrderedCommMonoidWithZero.toIsBotZeroClass", "Primrec.of_eq", "of_decide_eq_true", "GetElem?.toGetElem", "Nat.instOne", "...
true
Algebra.Generators.algebraMap_eq
Mathlib.RingTheory.Extension.Generators
[ "Nat.instMulZeroClass", "AddMonoidAlgebra.semiring", "CommRing", "AlgHom.algHomClass", "MvPolynomial.aeval", "Algebra.algebraMap", "CommSemiring.toSemiring", "AlgHom", "AlgHom.funLike", "AddMonoidAlgebra.algebra", "Finsupp.instAddMonoid", "AddMonoidAlgebra.commSemiring", "Algebra", "Nat.in...
true
HomologicalComplex.stupidTruncMap.eq_1
Mathlib.Algebra.Homology.Embedding.StupidTrunc
[ "CategoryTheory.Limits.HasZeroMorphisms", "HomologicalComplex.stupidTrunc", "HomologicalComplex.instCategory", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "HomologicalComplex.restrictionMap", "HomologicalComplex", "ComplexShape", "HomologicalComplex.restriction", "HomologicalComplex.st...
true
_private.Std.Time.Time.Unit.Basic.0.Std.Time.Millisecond.Offset.toHours._proof_1
Std.Time.Time.Unit.Basic
[ "Rat.instOfNat", "Int.cast", "Rat.instMul", "instHDiv", "HMul.hMul", "of_decide_eq_true", "Rat", "Rat.instIntCast", "id", "HDiv.hDiv", "Int", "Bool.true", "instOfNat", "Bool", "Eq.refl", "OfNat.ofNat", "instDecidableEqRat", "Decidable.decide", "Eq", "Rat.instDiv", "instHMul" ...
false
_private.Mathlib.CategoryTheory.Sites.Precoverage.0.CategoryTheory.Precoverage.mem_coverings_of_isPullback.match_1_1
Mathlib.CategoryTheory.Sites.Precoverage
[ "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "CategoryTheory.Presieve.ofArrows.mk", "CategoryTheory.Presieve.uncurry", "HEq.refl", "Function.comp", "Set.Elem", "Sum", "eq_of_heq", "Eq.ndrec", "CategoryTheory.Presieve.ofArrows.casesOn", "Eq.refl", "HEq", "CategoryTheory.Category....
false
Std.TreeMap.getElem!_union_of_not_mem_left
Std.Data.TreeMap.Lemmas
[ "Std.TreeMap.inner", "Membership.mem", "Ordering", "Std.TransCmp", "Std.TreeMap.instMembership", "Std.TreeMap.instGetElem?Mem", "Inhabited", "Union.union", "Std.TreeMap.instUnion", "Eq", "GetElem?.getElem!", "Not", "Std.TreeMap", "Std.DTreeMap.Const.get!_union_of_not_mem_left" ]
true
Lean.Meta.DefEqCacheKeyInfo.mk
Lean.Meta.ExprDefEq
[ "Lean.Meta.DefEqCacheKeyInfo", "Lean.Meta.DefEqCacheKey", "Lean.Meta.DefEqCacheKeyInfo.mk", "Lean.Meta.DefEqCacheKind" ]
true
OrderMonoidHom.one_comp
Mathlib.Algebra.Order.Hom.Monoid
[ "OrderMonoidHom", "One.toOfNat1", "OrderMonoidHom.comp", "MulOneClass", "OfNat.ofNat", "Eq", "rfl", "Preorder", "OrderMonoidHom.instOne" ]
true
instBooleanRingCarrierToBddLatToBddDistLatOfAsBoolAlg._proof_19
Mathlib.Algebra.Category.BoolRing
[ "BoolAlg.of", "Semigroup.toMul", "instBooleanRingCarrierToBddLatToBddDistLatOfAsBoolAlg._aux_13", "HMul.hMul", "BddLat.toLat", "Lat.carrier", "instBooleanRingCarrierToBddLatToBddDistLatOfAsBoolAlg._proof_15", "Semigroup.mk", "AsBoolAlg", "BddDistLat.toBddLat", "BooleanRing.toRing", "instBoolea...
false
Aesop.NodeState._sizeOf_inst
Aesop.Tree.Data
[ "SizeOf.mk", "SizeOf", "Aesop.NodeState", "Aesop.NodeState._sizeOf_1" ]
false
Dyadic.ctorIdx
Init.Data.Dyadic.Basic
[ "Dyadic.casesOn", "Dyadic", "instHMod", "Int", "HMod.hMod", "instOfNat", "Nat", "Int.instMod", "OfNat.ofNat", "Eq" ]
false
_private.Lean.Compiler.NameMangling.0.String.pushHex.match_1.congr_eq_1
Lean.Compiler.NameMangling
[ "Unit.unit", "_private.Lean.Compiler.NameMangling.0.String.pushHex.match_1", "id", "instOfNatNat", "heq_of_eq", "Unit", "Nat", "Eq.ndrec", "Eq.refl", "HEq", "OfNat.ofNat", "Eq.symm", "Nat.succ", "Eq", "Nat.casesOn" ]
true
Ordnode.Bounded.eq_3
Mathlib.Data.Ordmap.Ordset
[ "WithBot.some", "WithBot", "Ordnode", "Ordnode.node", "WithTop.some", "And", "Nat", "Eq.refl", "Ordnode.Bounded", "Eq", "Preorder", "WithTop" ]
true
QuotientGroup.liftEquiv
Mathlib.GroupTheory.QuotientGroup.Defs
[ "QuotientGroup.liftEquiv._proof_3", "MonoidHom.instFunLike", "MonoidHom", "Monoid.toMulOneClass", "QuotientGroup.lift", "Group", "MulOne.toMul", "QuotientGroup.instHasQuotientSubgroup", "DivInvMonoid.toMonoid", "Subgroup", "Group.toDivInvMonoid", "MonoidHom.ker", "HasQuotient.Quotient", "M...
true
Submonoid.map_iInf
Mathlib.Algebra.Group.Submonoid.Operations
[ "Eq.mpr", "iInf", "congrArg", "Set.iInter", "Set.InjOn.image_iInter_eq", "Submonoid.instInfSet", "Function.comp", "id", "SetLike.coe_injective", "Submonoid.map", "MulOneClass.toMulOne", "SetLike.coe", "congr", "Nonempty", "Set.image", "MonoidHomClass", "Submonoid.instSetLike", "Sub...
true
NumberField.RingOfIntegers.instIsIntegralInt
Mathlib.NumberTheory.NumberField.Basic
[ "IsIntegralClosure.isIntegral_algebra", "AddCommGroup.intIsScalarTower", "NumberField.instCommRingRingOfIntegers", "NumberField.RingOfIntegers.instAlgebra_1", "Field.toDivisionRing", "Algebra.toModule", "Algebra.IsIntegral", "DivisionRing.toRing", "Int", "Field.toSemifield", "Field.toCommRing", ...
true
Prod.instGroupFG
Mathlib.GroupTheory.Finiteness
[ "Eq.mpr", "congrArg", "Group.FG", "Group", "id", "Subgroup", "Prod.instGroup", "Subgroup.top_prod_top", "Subgroup.prod", "Subgroup.FG", "Group.FG.mk", "Subgroup.instTop", "Subgroup.FG.prod", "Group.FG.out", "Prod", "Top.top", "Eq.symm", "Eq" ]
true
Module.Basis.instFunLike._proof_2
Mathlib.LinearAlgebra.Basis.Defs
[ "NonAssocSemiring.toAddCommMonoidWithOne", "LinearEquiv.symm", "Semiring.toModule", "Finsupp.module", "Module.Basis.instFunLike._proof_1", "LinearEquiv.toLinearMap_injective", "AddCommMonoidWithOne.toAddMonoidWithOne", "Function.Bijective.injective", "Module.Basis.repr", "AddCommMonoid", "Finsup...
false
Lean.Meta.Grind.EMatchTheoremKind.recOn
Lean.Meta.Tactic.Grind.Extension
[ "Lean.Meta.Grind.EMatchTheoremKind.user", "Lean.Meta.Grind.EMatchTheoremKind.rec", "Lean.Meta.Grind.EMatchTheoremKind.eqBwd", "Lean.Meta.Grind.EMatchTheoremKind.bwd", "Lean.Meta.Grind.EMatchTheoremKind.fwd", "Lean.Meta.Grind.EMatchTheoremKind", "Lean.Meta.Grind.EMatchTheoremKind.eqBoth", "Lean.Meta.Gr...
false
instReprListOfReprAtom
Init.Data.Repr
[ "Repr.mk", "ReprAtom", "List", "List.repr'", "Repr" ]
true
BitVec.ofNatLT_zero
Init.Data.BitVec.Lemmas
[ "instPowNat", "BitVec.ofNatLT", "BitVec", "instOfNatNat", "BitVec.ofNat", "instNatPowNat", "HPow.hPow", "Nat", "LT.lt", "instHPow", "instLTNat", "OfNat.ofNat", "Eq", "rfl" ]
true
_private.Lean.Elab.Tactic.BVDecide.Frontend.Normalize.Simproc.0._regBuiltin.Lean.Elab.Tactic.BVDecide.Frontend.Normalize.bv_or_elim.declare_144._@.Lean.Elab.Tactic.BVDecide.Frontend.Normalize.Simproc.199546643._hygCtx._hyg.26
Lean.Elab.Tactic.BVDecide.Frontend.Normalize.Simproc
[ "Lean.Elab.Tactic.BVDecide.Frontend.Normalize.bv_or_elim", "IO", "Lean.Meta.DiscrTree.Key.star", "Lean.Name.mkStr7", "Lean.Meta.DiscrTree.Key", "instOfNatNat", "List.toArray", "List.cons", "Unit", "Nat", "Lean.Meta.Simp.registerBuiltinSimproc", "Lean.Name.mkStr2", "OfNat.ofNat", "Lean.Name...
false
NonUnitalSeminormedCommRing.induced._proof_1
Mathlib.Analysis.Normed.Ring.Basic
[ "Real", "Real.instZero", "Dist.mk", "NonUnitalSeminormedCommRing", "SeminormedAddCommGroup.toSeminormedAddGroup", "SeminormedAddGroup.toPseudoMetricSpace", "NonUnitalSeminormedCommRing.toNonUnitalSeminormedRing", "NonUnitalSeminormedRing.toSeminormedAddCommGroup", "Zero.toOfNat0", "Dist.dist", "...
false
BoundingSieve.multSum_eq_main_err
Mathlib.NumberTheory.SelbergSieve
[ "Mathlib.Tactic.Ring.Common.mul_pf_left", "Mathlib.Tactic.Ring.Common.neg_zero", "Eq.mpr", "NegZeroClass.toNeg", "NonAssocSemiring.toAddCommMonoidWithOne", "Mathlib.Tactic.Ring.Common.neg_mul", "Real", "Dvd.dvd", "Mathlib.Tactic.Ring.Common.neg_add", "Mathlib.Tactic.Ring.Common.mul_congr", "HMul...
true
ContinuousLinearMap.compLpₗ₂._proof_6
Mathlib.MeasureTheory.Function.LpSpace.Basic
[ "NormedCommRing.toNormedRing", "MeasureTheory.Measure", "NormedRing.toRing", "NormedSpace.toIsBoundedSMul", "NormedSpace", "DistribMulAction.toDistribSMul", "AddCommGroup.toAddCommMonoid", "MeasureTheory.Lp.instModule", "NormedSpace.toModule", "AddMonoid.toAddZeroClass", "PseudoMetricSpace.toUni...
false
ValueDistribution.proximity_inv
Mathlib.Analysis.Complex.ValueDistribution.Proximity.Basic
[ "Norm.norm", "ValueDistribution.proximity_zero", "InnerProductSpace.toNormedSpace", "Real", "Real.posLog", "Complex.instNormedAddCommGroup", "Real.instRCLike", "congrArg", "Real.instInv", "NormedDivisionRing.toNorm", "Complex.instNormedField", "Complex.instZero", "Pi.instInv", "Real.normed...
true
CategoryTheory.Functor.RightExtension.instSubsingletonIsPointwiseRightKanExtensionAt
Mathlib.CategoryTheory.Functor.KanExtension.Pointwise
[ "CategoryTheory.Functor.RightExtension.IsPointwiseRightKanExtensionAt", "CategoryTheory.Functor", "_private.Mathlib.CategoryTheory.Functor.KanExtension.Pointwise.0.CategoryTheory.Functor.RightExtension.instSubsingletonIsPointwiseRightKanExtensionAt._proof_1", "CategoryTheory.Functor.RightExtension", "Subsin...
true
UInt64.instIsAlwaysFinite_1
Init.Data.Range.Polymorphic.UInt
[ "UInt64", "instLTUInt64", "inferInstance", "UInt64.instLawfulHasSize_1", "UInt64.instHasSize_1", "Std.Rxo.IsAlwaysFinite", "Std.Rxo.instIsAlwaysFiniteOfLawfulHasSize", "UInt64.instLawfulUpwardEnumerable", "UInt64.instUpwardEnumerable" ]
true
MeasurableSpace.SeparatesPoints.casesOn
Mathlib.MeasureTheory.MeasurableSpace.CountablyGenerated
[ "MeasurableSet", "Membership.mem", "MeasurableSpace.SeparatesPoints.rec", "MeasurableSpace", "MeasurableSpace.SeparatesPoints", "MeasurableSpace.SeparatesPoints.mk", "Eq", "Set.instMembership", "Set" ]
false
MulArchimedeanClass.mk_one
Mathlib.Algebra.Order.Archimedean.Class
[ "InvOneClass.toOne", "DivisionCommMonoid.toDivisionMonoid", "DivInvOneMonoid.toInvOneClass", "IsOrderedMonoid", "LinearOrder", "PartialOrder.toPreorder", "Preorder.toLE", "DivisionMonoid.toDivInvOneMonoid", "SemilatticeInf.toPartialOrder", "DistribLattice.toLattice", "MulArchimedeanClass.instOrd...
true
CategoryTheory.MonoidalCategory.MonoidalLeftAction.leftActionOfMonoidalOppositeRightAction
Mathlib.CategoryTheory.Monoidal.Action.Opposites
[ "CategoryTheory.MonoidalOpposite.mop", "CategoryTheory.MonoidalCategory.MonoidalLeftAction.leftActionOfMonoidalOppositeRightAction._proof_10", "CategoryTheory.MonoidalCategory.MonoidalLeftAction.leftActionOfMonoidalOppositeRightAction._proof_4", "CategoryTheory.MonoidalCategory.MonoidalLeftAction.leftActionOf...
true
CategoryTheory.Abelian.SpectralObject.SpectralSequenceDataCore._auto_16
Mathlib.Algebra.Homology.SpectralObject.HasSpectralSequence
[ "Lean.Syntax.node", "Array.push", "Lean.Syntax", "Array.empty", "Lean.SourceInfo.none", "Lean.Name.mkStr1", "Lean.Name.mkStr4", "Lean.mkAtom" ]
false
Cardinal.card_iUnion_lt_iff_forall_of_isRegular
Mathlib.SetTheory.Cardinal.Regular
[ "Cardinal.mk_sUnion_le", "Eq.mpr", "lt_of_le_of_lt", "Preorder.toLT", "HMul.hMul", "Cardinal.iSup_lt_of_lt_cof_ord", "Cardinal.IsRegular", "Cardinal", "congrArg", "iSup", "PartialOrder.toPreorder", "Set.sUnion", "Subtype.forall._simp_1", "Cardinal.mk", "Membership.mem", "Cardinal.IsReg...
true
_private.Lean.Meta.Tactic.Grind.Arith.Propagate.0.Lean.Meta.Grind.Arith.isSupportedSemiringQuick._sparseCasesOn_1
Lean.Meta.Tactic.Grind.Arith.Propagate
[ "Nat.ne_of_beq_eq_false", "Lean.Expr.const", "Lean.Expr.letE", "Lean.Expr.mvar", "Nat.shiftRight", "Lean.MVarId", "Lean.Expr", "Lean.FVarId", "Nat.hasNotBit", "instOfNatNat", "Lean.Expr.sort", "Lean.Expr.bvar", "Lean.Level", "Lean.Literal", "Lean.Expr.mdata", "Lean.Expr.fvar", "Lean....
false
_private.Mathlib.Tactic.Translate.TagUnfoldBoundary.0.Mathlib.Tactic.Translate.elabInsertCastAux.unfoldLHS?._sparseCasesOn_1
Mathlib.Tactic.Translate.TagUnfoldBoundary
[ "Nat.ne_of_beq_eq_false", "Lean.Expr.const", "Lean.Expr.letE", "Lean.Expr.mvar", "Nat.shiftRight", "Lean.MVarId", "Lean.Expr", "Lean.FVarId", "Nat.hasNotBit", "instOfNatNat", "Lean.Expr.sort", "Lean.Expr.bvar", "Lean.Level", "Lean.Literal", "Lean.Expr.mdata", "Lean.Expr.fvar", "Lean....
false
MulEquiv.instEquivLike.eq_1
Mathlib.Algebra.Group.Equiv.Defs
[ "MulEquiv.instEquivLike._proof_2", "MulEquiv.instEquivLike", "Mul", "MulEquiv.toEquiv", "Equiv.toFun", "MulEquiv.instEquivLike._proof_3", "EquivLike", "MulEquiv.instEquivLike._proof_1", "MulEquiv", "Eq.refl", "EquivLike.mk", "Eq", "Equiv.invFun" ]
true
Nat.squarefree_two
Mathlib.Data.Nat.Squarefree
[ "Eq.mpr", "False", "congrArg", "and_self", "Nat.instMonoid", "Nat.instAtLeastTwoHAddOfNat", "Membership.mem", "Nat.instCharZero", "OfNat.ofNat_ne_zero._simp_1", "List.nodup_nil._simp_1", "id", "instOfNatNat", "List.not_mem_nil._simp_1", "Nat.instAddMonoidWithOne", "Nat.primeFactorsList_t...
true
Std.TreeMap.Raw.getElem!_map'
Std.Data.TreeMap.Raw.Lemmas
[ "Iff.mpr", "Std.TreeMap.Raw.WF.out", "Option.some", "Membership.mem", "Ordering", "Std.TreeMap.Raw.instMembership", "Option.get!", "Std.TransCmp", "Std.TreeMap.Raw.WF", "Std.TreeMap.Raw.inner", "Std.TreeMap.Raw.map", "Std.TreeMap.Raw", "Bool.true", "Std.DTreeMap.Raw.Const.get!_map'", "St...
true
BoxIntegral.integral_neg
Mathlib.Analysis.BoxIntegral.Basic
[ "BoxIntegral.Integrable.of_neg", "Eq.mpr", "NegZeroClass.toNeg", "Real", "Pi.instNeg", "BoxIntegral.Integrable", "NormedSpace", "congrArg", "AddCommGroup.toAddCommMonoid", "NormedSpace.toModule", "PseudoMetricSpace.toUniformSpace", "ContinuousLinearMap.addCommMonoid", "Classical.propDecidabl...
true
Algebra.algebraMapSubmonoid_powers
Mathlib.Algebra.Algebra.Basic
[ "Algebra.algebraMapSubmonoid._proof_1", "Algebra.algebraMap", "Monoid.toMulOneClass", "congrArg", "CommSemiring.toSemiring", "Algebra", "RingHom", "MulZeroOneClass.toMulOneClass", "instMulZeroOneClassOfSemiring", "CommSemiring", "RingHom.instFunLike", "True", "Submonoid.powers", "eq_self",...
true
Real.ofDigits_nonneg
Mathlib.Analysis.Real.OfDigits
[ "Real.instLE", "Real", "Real.lattice", "Real.instZero", "instHasSolidNormReal", "PseudoMetricSpace.toUniformSpace", "id", "Real.normedAddCommGroup", "LE.le", "Real.ofDigitsTerm_nonneg", "Nat", "Real.ofDigitsTerm", "Real.ofDigits", "Real.instAddCommMonoid", "Zero.toOfNat0", "Real.pseudo...
true
NonUnitalSubring.ofClass._proof_1
Mathlib.RingTheory.NonUnitalSubring.Defs
[ "SetLike", "NonUnitalNonAssocRing", "AddSubmonoidClass.toAddMemClass", "NonUnitalSubringClass.toNonUnitalSubsemiringClass", "AddMonoid.toAddZeroClass", "Membership.mem", "AddZeroClass.toAddZero", "NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring", "NonUnitalNonAssocSemiring.toAddCommMonoid", "ins...
false
Lean.Compiler.LCNF.LitValue.str.sizeOf_spec
Lean.Compiler.LCNF.Basic
[ "Lean.Compiler.LCNF.LitValue.str", "Lean.Compiler.LCNF.LitValue", "String", "Lean.Compiler.LCNF.LitValue._sizeOf_inst", "instOfNatNat", "instHAdd", "HAdd.hAdd", "Nat", "SizeOf.sizeOf", "instAddNat", "String._sizeOf_inst", "Eq.refl", "OfNat.ofNat", "Eq" ]
true
Lean.Lsp.instFromJsonStaticRegistrationOptions.fromJson
Lean.Data.Lsp.Basic
[ "Pure.pure", "Lean.Json", "Lean.instFromJsonString", "Monad.toApplicative", "String", "Lean.instFromJsonOption", "Lean.Name.mkStr3", "Lean.Json.getObjValAs?", "Applicative.toPure", "ToString.toString", "Except.instMonad", "instAppendString", "Except.mapError", "instHAppendOfAppend", "Lea...
true
_private.Mathlib.Algebra.MvPolynomial.Basic.0.MvPolynomial.monomial_eq._simp_1_1
Mathlib.Algebra.MvPolynomial.Basic
[ "Finsupp.instAddZeroClass", "NonAssocSemiring.toAddCommMonoidWithOne", "Nat.instMulZeroClass", "MvPolynomial.monomial_finsupp_sum_index", "Semiring.toModule", "HMul.hMul", "AddMonoidAlgebra.addAddCommMonoid", "CommSemiring.toSemiring", "AddMonoid.toAddZeroClass", "MvPolynomial.monomial", "Linear...
false
DifferentiableOn.hasDerivAt
Mathlib.Analysis.Calculus.Deriv.Basic
[ "Filter.instMembership", "NormedCommRing.toNormedRing", "NormedCommRing.toSeminormedCommRing", "Semiring.toModule", "NormedRing.toRing", "NormedSpace.toIsBoundedSMul", "DifferentiableOn.hasFDerivAt", "NormedSpace", "DistribMulAction.toDistribSMul", "AddCommGroup.toAddCommMonoid", "deriv", "Nor...
true
Aesop.UnsafeQueueEntry.postponedSafeRule.elim
Aesop.Tree.UnsafeQueue
[ "PULift.up", "Aesop.UnsafeQueueEntry", "Aesop.UnsafeQueueEntry.ctorElim", "Aesop.UnsafeQueueEntry.ctorIdx", "Aesop.UnsafeQueueEntry.postponedSafeRule", "Nat", "Aesop.PostponedSafeRule", "Eq.symm", "Eq" ]
false
_aux_Init_Notation___macroRules_termIfLet_1
Init.Notation
[ "Pure.pure", "Lean.Syntax.node", "Lean.TSyntax", "Lean.MonadRef.mkInfoFromRefPos", "instMonadExceptOfMonadExceptOf", "Lean.SourceInfo", "MonadExcept.throw", "Lean.Syntax.isOfKind", "EStateM.instMonad", "Lean.Macro.Exception", "Array.mkArray0", "Lean.Syntax.atom", "Lean.TSyntax.mk", "Lean.S...
false
MonomialOrder.sPolynomial_def
Mathlib.RingTheory.MvPolynomial.MonomialOrder
[ "Finsupp.instFunLike", "Eq.mpr", "Nat.instCanonicallyOrderedAdd", "Nat.instMulZeroClass", "Nat.instLattice", "Nat.instOrderedSub", "CommRing", "Lattice.toSemilatticeSup", "Semiring.toModule", "HMul.hMul", "Finsupp.ext", "AddMonoidAlgebra.addAddCommMonoid", "AddGroupWithOne.toAddGroup", "co...
true
Flag.instGradeOrderSubtypeMem._proof_1
Mathlib.Order.Grade
[ "StrictMono", "PartialOrder.toPreorder", "Preorder.toLE", "Membership.mem", "PartialOrder", "Subtype", "Flag.instSetLike", "Flag", "Subtype.val", "SetLike.instMembership", "Subtype.strictMono_coe", "Subtype.preorder" ]
false
Lean.Syntax.getTrailingTailPos?
Init.Meta.Defs
[ "Lean.Syntax", "String.Pos.Raw", "Lean.Syntax.getTailInfo", "Bool", "Lean.SourceInfo.getTrailingTailPos?", "optParam", "Bool.false", "Option" ]
true
Module.finrank_of_bijective_toSpanSingleton
Mathlib.LinearAlgebra.Dimension.StrongRankCondition
[ "Eq.mpr", "Semiring.toModule", "congrArg", "LinearMap.instFunLike", "id", "LinearEquiv.finrank_eq", "instOfNatNat", "LinearMap", "AddCommMonoid", "NonUnitalNonAssocSemiring.toAddCommMonoid", "NonAssocSemiring.toNonUnitalNonAssocSemiring", "StrongRankCondition", "Nat", "RingHomInvPair.ids",...
true
List.get._proof_1
Init.Prelude
[ "LE.le", "instLENat", "List.cons", "List", "Nat.le_of_succ_le_succ", "Nat", "LT.lt", "instLTNat", "Nat.succ", "List.length" ]
false
IndiscreteTopology.of_forall_nnnorm_eq_zero'
Mathlib.Analysis.Normed.Group.Basic
[ "Iff.mpr", "NNNorm.nnnorm", "SeminormedGroup", "PseudoMetricSpace.toUniformSpace", "SeminormedGroup.toPseudoMetricSpace", "indiscreteTopology_iff_forall_nnnorm_eq_zero'", "NNReal", "IndiscreteTopology", "NNReal.instZero", "SeminormedGroup.toNNNorm", "Zero.toOfNat0", "OfNat.ofNat", "UniformSp...
true
EquivLike.inv_apply_eq
Mathlib.Data.FunLike.Equiv
[ "EquivLike.right_inv", "HEq.refl", "Eq.casesOn", "Iff", "EquivLike", "Iff.intro", "Eq.ndrec", "Eq.refl", "HEq", "EquivLike.inv", "EquivLike.coe", "Eq.symm", "Eq", "DFunLike.coe", "EquivLike.left_inv", "EquivLike.toFunLike" ]
true
Stream'.nats
Mathlib.Data.Stream.Defs
[ "Stream'", "Nat" ]
true