name
stringlengths
2
347
module
stringlengths
6
90
deps
listlengths
0
692
allowCompletion
bool
2 classes
Std.PRange.UpwardEnumerable.le_iff_lt_or_eq
Init.Data.Range.Polymorphic.UpwardEnumerable
[ "False", "eq_false", "Std.PRange.UpwardEnumerable", "congrArg", "Std.PRange.UpwardEnumerable.le_refl", "Std.PRange.UpwardEnumerable.LE", "Std.PRange.UpwardEnumerable.LT", "Classical.propDecidable", "Option.some.injEq", "Option.some", "Eq.rec", "Eq.mp", "instOfNatNat", "Bool.true", "_priv...
true
Matroid.Indep.diff
Mathlib.Combinatorics.Matroid.Basic
[ "Set.diff_subset", "Matroid.Indep", "Matroid.Indep.subset", "SDiff.sdiff", "Matroid", "Set.instSDiff", "Set" ]
true
CategoryTheory.GradedObject.mapBifunctorObjObjSingle₀Iso
Mathlib.CategoryTheory.GradedObject.Unitor
[ "CategoryTheory.Functor.flip", "CategoryTheory.Functor", "CategoryTheory.Functor.category", "CategoryTheory.Functor.id", "CategoryTheory.GradedObject.singleObjApplyIsoOfEq", "CategoryTheory.GradedObject.single₀", "CategoryTheory.Iso", "Prod.fst", "CategoryTheory.Iso.trans", "CategoryTheory.GradedO...
true
Nat.RecursiveIn.below.right
Mathlib.Computability.RecursiveIn
[ "PFun", "Nat.unpair", "Nat.RecursiveIn.right", "Option.some", "Nat.RecursiveIn.below", "Nat", "Nat.RecursiveIn", "Nat.RecursiveIn.below.right", "Prod.snd", "Part.ofOption", "Set" ]
true
Bundle.instInnerProductSpaceReal
Mathlib.Topology.VectorBundle.Riemannian
[ "Bundle.RiemannianMetric.toCore._proof_7", "Real", "Semiring.toModule", "Inner.mk", "ContinuousLinearMap.topologicalSpace", "Bundle.RiemannianMetric.inner", "Real.instRCLike", "DistribMulAction.toDistribSMul", "AddCommGroup.toAddCommMonoid", "Bundle.instInnerProductSpaceReal._proof_1", "Continuo...
true
_private.Mathlib.Order.Interval.Finset.Basic.0.Finset.Iic_top._simp_1_3
Mathlib.Order.Interval.Finset.Basic
[ "Finset.mem_univ", "Finset.univ", "Finset", "Membership.mem", "Fintype", "Finset.instSetLike", "True", "eq_true", "Eq", "SetLike.instMembership" ]
false
CategoryTheory.Equivalence.cancel_counitInv_right_assoc._simp_1
Mathlib.CategoryTheory.Equivalence
[ "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "CategoryTheory.Equivalence", "CategoryTheory.Functor.comp", "CategoryTheory.Functor.id", "CategoryTheory.Equivalence.counitInv", "CategoryTheory.Equivalence.functor", "CategoryTheory.Equivalence.cancel_counitInv_right_assoc", "propext", "Cat...
false
AlgCat.limitSemiring._proof_22
Mathlib.Algebra.Category.AlgCat.Limits
[ "Subalgebra.instSetLike", "Monoid.npow_zero._autoParam", "AddGroup.toSubtractionMonoid", "AlgCat.instAlgebraObjForgetAlgHomCarrier", "AlgCat.limitSemiring._aux_20", "CategoryTheory.Functor", "CommRing", "Equiv.instEquivLike", "One.mk", "CategoryTheory.Limits.Types.Small.limitCone", "Equiv.addGro...
false
_private.Std.Data.DTreeMap.Internal.Lemmas.0.Std.DTreeMap.Internal.Impl.maxKey_le_maxKey_insert._simp_1_3
Std.Data.DTreeMap.Internal.Lemmas
[ "Ord", "Membership.mem", "Bool.true", "Std.DTreeMap.Internal.Impl.contains", "propext", "Bool", "Std.DTreeMap.Internal.Impl.mem_iff_contains", "Eq", "Std.DTreeMap.Internal.Impl", "Std.DTreeMap.Internal.Impl.instMembershipOfOrd" ]
false
Submodule.inductionOnRankAux._proof_1
Mathlib.LinearAlgebra.Basis.Submodule
[ "Submodule", "IsDomain", "False", "instHSMul", "NeZero.one", "congrArg", "DistribMulAction.toDistribSMul", "AddCommGroup.toAddCommMonoid", "Submodule.mem_bot", "False.elim", "AddMonoid.toAddZeroClass", "AddGroupWithOne.toAddMonoidWithOne", "AddCommGroup.toAddGroup", "smul_zero", "Members...
false
DistribMulActionHom.mk.injEq
Mathlib.GroupTheory.GroupAction.Hom
[ "Monoid", "DistribMulActionHom.mk", "MonoidHom.instFunLike", "MonoidHom", "Eq.propIntro", "Monoid.toMulOneClass", "DistribMulActionHom", "DistribMulAction.toDistribSMul", "AddMonoid.toAddZeroClass", "DistribMulActionHom.mk.inj", "AddZeroClass.toAddZero", "DistribSMul.toSMulZeroClass", "MulAc...
true
Std.Internal.List.getValueCast?_eq_none
Std.Data.Internal.List.Associative
[ "Eq.mpr", "congrArg", "Std.Internal.List.getValueCast?", "Option.not_isSome_iff_eq_none", "LawfulBEq", "id", "Bool.true", "Option.none", "List", "Std.Internal.List.containsKey", "Bool.not_eq_true", "propext", "Bool", "Std.Internal.List.containsKey_eq_isSome_getValueCast?", "Option.isSome...
true
Lean.Server.Watchdog.CallHierarchyItemData.fromItem?
Lean.Server.Watchdog
[ "Lean.Lsp.CallHierarchyItem", "Lean.Json", "Lean.Server.Watchdog.CallHierarchyItemData", "String", "Lean.FromJson.fromJson?", "instMonadOption", "Lean.Lsp.CallHierarchyItem.data?", "Monad.toBind", "Bind.bind", "Lean.Server.Watchdog.instFromJsonCallHierarchyItemData", "Except.toOption", "Option...
true
LieSubmodule.Quotient.actionAsEndoMap._proof_5
Mathlib.Algebra.Lie.Quotient
[ "CommRing", "LieSubmodule.Quotient.module", "instSMulOfMul", "Monoid.toMulOneClass", "CommSemiring.toSemiring", "AddCommGroup.toAddCommMonoid", "IsScalarTower", "LieSubmodule", "AddCommGroup", "MulOne.toMul", "LieSubmodule.instHasQuotient", "IsScalarTower.left", "HasQuotient.Quotient", "Li...
false
CategoryTheory.PreOneHypercover.casesOn
Mathlib.CategoryTheory.Sites.Hypercover.One
[ "CategoryTheory.PreZeroHypercover.f", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "CategoryTheory.PreOneHypercover", "CategoryTheory.PreZeroHypercover.X", "CategoryTheory.PreZeroHypercover.I₀", "CategoryTheory.PreOneHypercover.mk", "CategoryTheory.PreZeroHypercover", "CategoryTheory.Cate...
false
Diffeology.IsPlot
Mathlib.Geometry.Diffeology.Basic
[ "Real", "Membership.mem", "DiffeologicalSpace.plots", "EuclideanSpace", "DiffeologicalSpace", "Nat", "Fin", "Set.instMembership", "Set" ]
true
_private.Mathlib.Topology.LocallyFinsupp.0.Function.locallyFinsuppWithin.eq_zero_codiscreteWithin._simp_1_2
Mathlib.Topology.LocallyFinsupp
[ "Membership.mem", "SDiff.sdiff", "And", "Set.mem_diff", "propext", "Eq", "Set.instMembership", "Not", "Set.instSDiff", "Set" ]
false
NumberField.mixedEmbedding.latticeBasis._proof_2
Mathlib.NumberTheory.NumberField.CanonicalEmbedding.Basic
[ "instInnerProductSpaceRealComplex", "NumberField.canonicalEmbedding.latticeBasis", "Pi.Function.module", "InnerProductSpace.toNormedSpace", "NormedCommRing.toSeminormedCommRing", "Real", "NonUnitalCommRing.toNonUnitalNonAssocCommRing", "Semiring.toModule", "Pi.addCommMonoid", "IsScalarTower.right"...
false
_private.Init.Data.Array.Lemmas.0.Array.size_reverse.go._unary
Init.Data.Array.Lemmas
[ "dite_cond_eq_true", "Eq.mpr", "Lean.Omega.LinearCombo.coordinate_eval_6", "False", "Lean.Omega.Constraint.not_sat'_of_isImpossible", "Int.natCast_add", "of_decide_eq_true", "eq_false", "le_of_le_of_eq", "Array.swap", "Lean.Omega.Constraint.mk", "Lean.Omega.Constraint.combine_sat'", "congrAr...
false
Submodule.equivSubtypeMap._proof_2
Mathlib.Algebra.Module.Submodule.Equiv
[ "Submodule", "RingHomSurjective.ids", "Function.LeftInverse", "Submodule.addCommMonoid", "Submodule.equivSubtypeMap._proof_1", "LinearMap.instFunLike", "Subtype.casesOn", "Membership.mem", "Eq.rec", "Subtype", "LinearMap.toAddHom", "Submodule.module", "LinearMap", "AddCommMonoid", "Subty...
false
_private.Mathlib.Analysis.Calculus.Taylor.0.taylor_integral_remainder_aux._proof_1_12
Mathlib.Analysis.Calculus.Taylor
[ "instLawfulOrderLT_mathlib", "Filter.instMembership", "Set.Ioc", "NormedCommRing.toSeminormedCommRing", "of_eq_false", "Lean.Grind.Field.toCommRing", "False", "Lean.Grind.and_eq_of_eq_true_right", "Set.uIcc.eq_1", "Real.partialOrder", "Real.instLE", "Real", "Preorder.toLT", "Lattice.toSemi...
false
instPartialOrderEReal._aux_1
Mathlib.Data.EReal.Basic
[ "WithTop.instPartialOrder", "Real.partialOrder", "Real", "PartialOrder.toPreorder", "WithBot.LE", "EReal", "Preorder.toLE", "WithTop" ]
false
CategoryTheory.FreeMonoidalCategory.Hom.id
Mathlib.CategoryTheory.Monoidal.Free.Basic
[ "CategoryTheory.FreeMonoidalCategory.Hom.id", "CategoryTheory.FreeMonoidalCategory", "CategoryTheory.FreeMonoidalCategory.Hom" ]
true
List.mem_rtakeWhile_imp
Mathlib.Data.List.DropRight
[ "List.mem_takeWhile_imp", "congrArg", "Membership.mem", "Eq.mp", "List.mem_reverse", "Bool.true", "List", "List.instMembership", "propext", "List.reverse", "Bool", "List.rtakeWhile", "List.takeWhile", "Eq", "List.rtakeWhile.eq_1" ]
true
Representation.equivOfIso._proof_3
Mathlib.RepresentationTheory.Rep.Basic
[ "Monoid", "Rep.V", "AddCommGroup.toAddCommMonoid", "Rep.hV2", "Rep.instCategory", "Rep.hV1", "CategoryTheory.Iso", "LinearMap.toAddHom", "AddHom.map_add'", "instHAdd", "Rep", "HAdd.hAdd", "Rep.ρ", "Rep.Hom.hom", "Semiring", "AddCommSemigroup.toAddCommMagma", "AddCommMonoid.toAddCommS...
false
_private.Mathlib.Algebra.Module.ZLattice.Covolume.0._auto_22
Mathlib.Algebra.Module.ZLattice.Covolume
[ "Lean.Syntax.node", "Array.push", "Lean.Syntax", "Array.empty", "Lean.Name.mkStr2", "Lean.SourceInfo.none", "Lean.Name.mkStr1", "Lean.Name.mkStr4", "Lean.mkAtom" ]
false
WeierstrassCurve.IsCharNeTwoNF
Mathlib.AlgebraicGeometry.EllipticCurve.NormalForms
[ "CommRing", "WeierstrassCurve", "WeierstrassCurve.IsCharNeTwoNF.mk" ]
true
ULift.up_lt
Mathlib.Order.ULift
[ "ULift.instLT_mathlib", "Iff.rfl", "ULift", "Iff", "LT.lt", "ULift.up", "LT" ]
true
Bundle.Trivialization.prod._proof_5
Mathlib.Topology.FiberBundle.Constructions
[ "Bundle.Trivialization.open_baseSet", "Set.instInter", "Inter.inter", "TopologicalSpace", "Bundle.TotalSpace.proj", "Bundle.TotalSpace", "Bundle.Trivialization", "IsOpen.inter", "IsOpen", "Bundle.Trivialization.baseSet", "Set" ]
false
Std.Tactic.BVDecide.BVExpr.bitblast.blastRotateLeft.go._unary._proof_2
Std.Tactic.BVDecide.Bitblast.BVExpr.Circuit.Impl.Operations.RotateLeft
[ "Std.Sat.AIG.RefVec.get", "Unit.unit", "False", "Mul.mk", "List.zipWith", "Lean.Omega.Constraint.not_sat'_of_isImpossible", "HMul.hMul", "Int.natCast_add", "Nat.ne_of_beq_eq_false", "of_decide_eq_true", "le_of_le_of_eq", "Std.Sat.AIG.RefVec.push", "Lean.Omega.Constraint.mk", "Lean.Omega.Co...
false
map_add_neg
Mathlib.Algebra.Group.Hom.Defs
[ "Eq.mpr", "congrArg", "AddMonoid.toAddZeroClass", "AddZeroClass.toAddZero", "map_add", "id", "AddMonoidHomClass", "map_neg", "SubtractionMonoid.toSubNegMonoid", "instHAdd", "AddGroup", "AddGroup.toSubNegMonoid", "HAdd.hAdd", "SubtractionMonoid", "AddMonoidHomClass.toAddHomClass", "SubN...
true
Mathlib.Tactic.Linarith.nlinarithExtras
Mathlib.Tactic.Linarith.Preprocessing
[ "Pure.pure", "Mathlib.Tactic.Linarith.PreprocessorBase.mk", "_private.Mathlib.Tactic.Linarith.Preprocessing.0.Mathlib.Tactic.Linarith.nlinarithGetProductsProofs", "Lean.Meta.State", "Mathlib.Tactic.Linarith.GlobalPreprocessor.mk", "Lean.Expr", "Lean.Meta.MetaM", "IO.RealWorld", "Applicative.toPure",...
true
MeasureTheory.OuterMeasure.isCaratheodory_empty
Mathlib.MeasureTheory.OuterMeasure.Caratheodory
[ "ENNReal.instAdd", "congrArg", "AddMonoid.toAddZeroClass", "MeasureTheory.OuterMeasure.IsCaratheodory", "MeasureTheory.OuterMeasure", "MeasureTheory.measure_empty", "AddCommMonoidWithOne.toAddMonoidWithOne", "Set.instInter", "Set.diff_empty", "zero_add", "Inter.inter", "SDiff.sdiff", "instHA...
true
CategoryTheory.ComposableArrows.isoMk₄_inv
Mathlib.CategoryTheory.ComposableArrows.Basic
[ "_private.Mathlib.CategoryTheory.ComposableArrows.Basic.0._proof_246", "CategoryTheory.ComposableArrows.isoMk₄._proof_4", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "CategoryTheory.ComposableArrows.map'._proof_8", "PartialOrder.toPreorder", "CategoryTheory.Functor.category", "CategoryTheo...
true
Lean.Meta.Sym.Simp.dischargeSimpSelf
Lean.Meta.Sym.Simp.Discharger
[ "Pure.pure", "Lean.Meta.Sym.Simp.Discharger", "Lean.Meta.Sym.Simp.Config.maxDischargeDepth", "instMonadReaderOfReaderTOfMonad", "ReaderT", "Lean.Meta.Sym.Simp.MethodsRef", "Lean.Meta.Sym.Context", "_private.Lean.Meta.Sym.Simp.Discharger.0.Lean.Meta.Sym.Simp.resultToDischargeResult", "ReaderT.instMon...
true
coe_mul_coe
Mathlib.Algebra.Group.Submonoid.Pointwise
[ "SetLike", "Set.ext", "Monoid", "Eq.mpr", "SetLike.mem_coe._simp_1", "MulOne.toOne", "HMul.hMul", "Monoid.toMulOneClass", "congrArg", "_private.Mathlib.Algebra.Group.Submonoid.Pointwise.0.coe_mul_coe._simp_1_1", "Membership.mem", "Exists", "id", "MulOne.toMul", "And.casesOn", "funext",...
true
MeasureTheory.leastGE.eq_1
Mathlib.Probability.Martingale.BorelCantelli
[ "MeasureTheory.hittingAfter", "Set.Ici", "OrderBot.toBot", "Preorder.toLE", "OrderBot", "InfSet", "Bot.bot", "MeasureTheory.leastGE", "Eq.refl", "Eq", "Preorder", "WithTop" ]
true
_private.Lean.Meta.Sym.AbstractS.0.Lean.Meta.Sym.abstractFVarsRange._proof_1
Lean.Meta.Sym.AbstractS
[ "False", "Lean.Omega.Constraint.not_sat'_of_isImpossible", "of_decide_eq_true", "le_of_le_of_eq", "Lean.Omega.Constraint.mk", "Lean.Omega.Constraint.combine_sat'", "Int.add_one_le_of_lt", "HSub.hSub", "Lean.Omega.Int.ofNat_sub_dichotomy", "Lean.Omega.Int.add_congr", "Lean.Omega.LinearCombo.eval"...
false
USize.toBitVec_ofNatLT
Init.Data.UInt.Lemmas
[ "BitVec.ofNatLT", "BitVec", "System.Platform.numBits", "USize.toBitVec", "Nat", "USize.ofNatLT", "LT.lt", "USize.size", "instLTNat", "Eq", "rfl" ]
true
CategoryTheory.Join.mapWhiskerRight._proof_1
Mathlib.CategoryTheory.Join.Basic
[ "CategoryTheory.Functor", "CategoryTheory.Join.instCategory", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "CategoryTheory.Functor.category", "CategoryTheory.Functor.comp", "CategoryTheory.CategoryStruct.id", "CategoryTheory.Functor.whiskerLeft", "id", "CategoryTheory.Join.mapPairLeft",...
false
_private.Mathlib.Geometry.Euclidean.Sphere.Basic.0.EuclideanGeometry.Sphere.dist_center_lt_radius_of_sbtw._simp_1_1
Mathlib.Geometry.Euclidean.Sphere.Basic
[ "Real.instLE", "Real", "Membership.mem", "LE.le", "PseudoMetricSpace", "propext", "Metric.mem_closedBall", "Dist.dist", "PseudoMetricSpace.toDist", "Metric.closedBall", "Eq", "Set.instMembership", "Set" ]
false
Aesop.Percent.instMul
Aesop.Percent
[ "Mul.mk", "HMul.hMul", "Aesop.Percent.mk", "Aesop.Percent.toFloat", "Mul", "Float", "instMulFloat", "Aesop.Percent", "instHMul" ]
true
Ideal.lcm_eq_inf
Mathlib.RingTheory.DedekindDomain.Ideal.Lemmas
[ "CommRing", "Semiring.toModule", "CommSemiring.toSemiring", "CommSemiring.toCommMonoidWithZero", "Ideal.instIdemCommSemiring", "Ideal", "GCDMonoid.lcm", "NonUnitalNonAssocSemiring.toAddCommMonoid", "CommRing.toCommSemiring", "NormalizedGCDMonoid.toGCDMonoid", "NonAssocSemiring.toNonUnitalNonAsso...
true
Lean.Grind.Field.mul_inv_cancel
Init.Grind.Ring.Field
[ "Lean.Grind.Field.toCommRing", "HMul.hMul", "Ne", "Lean.Grind.Semiring.toMul", "Lean.Grind.Field.toInv", "Lean.Grind.Field", "Lean.Grind.Semiring.ofNat", "Inv.inv", "Lean.Grind.CommRing.toRing", "Lean.Grind.Ring.toSemiring", "OfNat.ofNat", "Eq", "instHMul" ]
true
CategoryTheory.Comma.mapLeftIso_counitIso_inv_app_right
Mathlib.CategoryTheory.Comma.Basic
[ "CategoryTheory.Functor", "CategoryTheory.Comma.right", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "congrArg", "CategoryTheory.Comma.mapLeftIso", "CategoryTheory.Functor.category", "CategoryTheory.Functor.comp", "CategoryTheory.Functor.id", "CategoryTheory.CategoryStruct.id", "Categ...
true
Nat.min_zero
Init.Data.Nat.MinMax
[ "ite_eq_right_iff._simp_1", "congrArg", "instOfNatNat", "LE.le", "instLENat", "imp_self._simp_1", "Nat.le_zero_eq", "Nat", "True", "of_eq_true", "Eq.refl", "congrFun'", "instDecidableEqNat", "ite_congr", "OfNat.ofNat", "Eq", "Not", "Nat.decLe", "Min.min", "instMinNat", "Eq.tr...
true
ContinuousMultilinearMap.domDomCongrEquiv_apply
Mathlib.Topology.Algebra.Module.Multilinear.Basic
[ "ContinuousMultilinearMap.domDomCongrEquiv", "Equiv.instEquivLike", "ContinuousMultilinearMap.domDomCongr", "ContinuousMultilinearMap", "Equiv", "AddCommMonoid", "TopologicalSpace", "Semiring", "Eq.refl", "Module", "Eq", "DFunLike.coe", "EquivLike.toFunLike" ]
true
ENNReal.ofReal_le_ofReal_iff._simp_1
Mathlib.Data.ENNReal.Real
[ "Real.instLE", "Real", "ENNReal.ofReal_le_ofReal_iff", "Real.instZero", "ENNReal.ofReal", "LE.le", "ENNReal.instLE", "ENNReal", "propext", "Zero.toOfNat0", "OfNat.ofNat", "Eq" ]
false
Equiv.Perm.perm_mapsTo_inl_iff_mapsTo_inr
Mathlib.GroupTheory.Perm.Finite
[ "Equiv.instEquivLike", "congrArg", "Finite", "_private.Mathlib.GroupTheory.Perm.Finite.0.Equiv.Perm.perm_mapsTo_inl_iff_mapsTo_inr._proof_1_1", "Finite.Set.finite_range", "Membership.mem", "Sum.casesOn", "Eq.mp", "Sum", "Equiv", "Sum.inl", "Equiv.Perm.perm_symm_mapsTo_iff_mapsTo", "Iff", "...
true
Aesop.DisplayRuleName.noConfusion
Aesop.Rule.Name
[ "Aesop.RuleName", "Aesop.DisplayRuleName", "Aesop.DisplayRuleName.noConfusionType", "Aesop.DisplayRuleName.casesOn", "Eq.ndrec", "Eq.refl", "Eq" ]
false
Lean.Server.WithRpcRef._sizeOf_inst
Lean.Server.Rpc.Basic
[ "Lean.Server.WithRpcRef", "SizeOf.mk", "Lean.Server.WithRpcRef._sizeOf_1", "SizeOf" ]
false
Plausible.Gen.printSamples
Plausible.Gen
[ "Pure.pure", "Plausible.Gen.run", "IO.println", "instMonadExceptOfMonadExceptOf", "instForInOfForIn'", "Monad.toApplicative", "String", "MonadExcept.throw", "IO", "instMonadExceptOfEIO", "instToStringFormat", "_private.Plausible.Gen.0.Plausible.Gen.printSamples.match_1", "inferInstance", "...
true
_private.Mathlib.CategoryTheory.Sites.Descent.Precoverage.0.CategoryTheory.Pseudofunctor.DescentData.full_pullFunctor.mor_precomp._auto_1
Mathlib.CategoryTheory.Sites.Descent.Precoverage
[ "Lean.Syntax.node", "Array.push", "Lean.Syntax", "Array.empty", "Lean.Name.mkStr2", "Lean.SourceInfo.none", "Lean.Name.mkStr1", "Lean.Name.mkStr4", "Lean.mkAtom" ]
false
CategoryTheory.Subgroupoid.isNormal_comap
Mathlib.CategoryTheory.Groupoid.Subgroupoid
[ "CategoryTheory.Subgroupoid.comap._proof_1", "Eq.mpr", "CategoryTheory.Functor", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "congrArg", "setOf", "CategoryTheory.Groupoid.inv", "CategoryTheory.Subgroupoid.IsNormal.toIsWide", "CategoryTheory.Subgroupoid.comap", "Membership.mem", "Ca...
true
IsIntegral.of_finite
Mathlib.RingTheory.IntegralClosure.Algebra.Basic
[ "Module.End.instRing", "Algebra.IsIntegral.isIntegral", "Algebra.lmul", "CommRing", "instSMulOfMul", "Algebra.lmul_injective", "Ring.toNonAssocRing", "CommSemiring.toSemiring", "AlgHom", "AlgHom.funLike", "isIntegral_algHom_iff", "Algebra", "Algebra.toModule", "NonUnitalNonAssocRing.toNonU...
true
CategoryTheory.ShortComplex.LeftHomologyData.π_descH_assoc
Mathlib.Algebra.Homology.ShortComplex.LeftHomology
[ "CategoryTheory.Category.assoc", "CategoryTheory.Limits.HasZeroMorphisms", "CategoryTheory.ShortComplex.LeftHomologyData.f'", "CategoryTheory.ShortComplex.LeftHomologyData", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "congrArg", "CategoryTheory.ShortComplex", "CategoryTheory.ShortComple...
true
GrpCat.limitGroup._aux_17
Mathlib.Algebra.Category.Grp.Limits
[ "GrpCat.instConcreteCategoryMonoidHomCarrier", "CategoryTheory.Functor", "GrpCat", "MonoidHom.instFunLike", "CategoryTheory.Limits.Types.Small.limitCone", "MonoidHom", "GrpCat.str", "Monoid.toMulOneClass", "DivInvMonoid.toZPow", "CategoryTheory.Functor.comp", "Set.Elem", "DivInvMonoid.toMonoid...
false
_private.Mathlib.Combinatorics.SimpleGraph.Triangle.Counting.0.SimpleGraph.edgeDensity_badVertices_le
Mathlib.Combinatorics.SimpleGraph.Triangle.Counting
[ "div_le_of_le_mul₀", "NonUnitalNonAssocCommRing.toNonUnitalNonAssocCommSemiring", "Real.instIsOrderedRing", "Mathlib.Tactic.Ring.Common.neg_zero", "Eq.mpr", "GroupWithZero.toMonoidWithZero", "NegZeroClass.toNeg", "mul_nonneg", "NonAssocSemiring.toAddCommMonoidWithOne", "Mathlib.Tactic.Ring.Common....
true
ContDiffWithinAt.inversion
Mathlib.Geometry.Euclidean.Inversion.Calculus
[ "ContDiffWithinAt.sub", "Iff.mpr", "NormedCommRing.toNormedRing", "InnerProductSpace.toNormedSpace", "dist_ne_zero", "Real", "instHSMul", "instHDiv", "ContDiffWithinAt.add", "NormedRing.toRing", "NormedSpace.toIsBoundedSMul", "RCLike.toNormedAlgebra", "NormedSpace", "Real.denselyNormedFiel...
true
_private.Mathlib.RingTheory.Localization.Defs.0.IsLocalization.algebraMap_isUnit_iff.match_1_5
Mathlib.RingTheory.Localization.Defs
[ "HMul.hMul", "Algebra.algebraMap", "CommSemiring.toSemiring", "Algebra", "RingHom", "Membership.mem", "Exists", "Subtype", "Prod.mk", "Prod.fst", "MulZeroOneClass.toMulOneClass", "instDistribOfSemiring", "instMulZeroOneClassOfSemiring", "CommSemiring", "RingHom.instFunLike", "Exists.ca...
false
CategoryTheory.IsSplitCoequalizer.leftSection_bottom
Mathlib.CategoryTheory.Limits.Shapes.SplitCoequalizer
[ "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "CategoryTheory.CategoryStruct.id", "CategoryTheory.CategoryStruct.comp", "CategoryTheory.IsSplitCoequalizer", "CategoryTheory.Category.toCategoryStruct", "Eq", "CategoryTheory.IsSplitCoequalizer.leftSection", "CategoryTheory.Category" ]
true
Std.Http.URI.EncodedQueryParam.ofByteArray!
Std.Internal.Http.Data.URI.Encoding
[ "Std.Http.URI.EncodedQueryString.ofByteArray!", "Std.Http.Internal.Char.isQueryDataChar", "ByteArray", "Std.Http.URI.EncodedQueryParam" ]
true
_private.Mathlib.Algebra.Module.Submodule.Map.0.Submodule.map_neg.match_1_3
Mathlib.Algebra.Module.Submodule.Map
[ "Submodule", "RingHomSurjective.ids", "AddCommGroup.toAddCommMonoid", "LinearMap.instFunLike", "Membership.mem", "AddCommGroup", "LinearMap", "And.casesOn", "And", "Exists.casesOn", "SetLike.coe", "And.intro", "Submodule.setLike", "Exists.intro", "Module", "Submodule.map", "RingHom.i...
false
Nat.min
Init.Data.Nat.Basic
[ "Nat", "Min.min", "instMinNat" ]
true
_private.Mathlib.LinearAlgebra.QuadraticForm.Basic.0.QuadraticMap.isOrtho_polarBilin._simp_1_1
Mathlib.LinearAlgebra.QuadraticForm.Basic
[ "CommSemiring.toSemiring", "QuadraticMap.isOrtho_def", "QuadraticMap.instFunLike", "AddCommMonoid", "CommSemiring", "instHAdd", "HAdd.hAdd", "propext", "AddCommSemigroup.toAddCommMagma", "Module", "AddCommMonoid.toAddCommSemigroup", "Eq", "DFunLike.coe", "QuadraticMap", "AddCommMagma.toA...
false
Batteries.RBNode.reverse.eq_2
Batteries.Data.RBMap.Basic
[ "Batteries.RBNode", "Batteries.RBColor", "Batteries.RBNode.reverse", "Eq.refl", "Batteries.RBNode.node", "Eq" ]
true
Lean.Parser.Command.extends.parenthesizer
Lean.Parser.Command
[ "Lean.Parser.withCache.parenthesizer", "Lean.Parser.mkAntiquot.parenthesizer", "Lean.Parser.Command.structParent.parenthesizer", "Lean.PrettyPrinter.Parenthesizer", "instOfNatNat", "Lean.PrettyPrinter.Parenthesizer.leadingNode.parenthesizer", "Lean.PrettyPrinter.Parenthesizer.andthen.parenthesizer", "...
true
Polynomial.Gal.uniqueGalZero
Mathlib.FieldTheory.PolynomialGaloisGroup
[ "Polynomial.Gal", "Unique", "Field.toSemifield", "Polynomial", "Semifield.toDivisionSemiring", "Polynomial.Gal.uniqueGalZero._proof_1", "DivisionSemiring.toSemiring", "Zero.toOfNat0", "Polynomial.instZero", "OfNat.ofNat", "Field", "Polynomial.Gal.uniqueGalOfSplits" ]
true
Lean.AsyncBranch.asyncEnv
Lean.Environment
[ "Lean.AsyncBranch", "Lean.AsyncBranch.asyncEnv" ]
true
IsRightRegular.unop
Mathlib.Algebra.Regular.Opposite
[ "Iff.mpr", "MulOpposite", "Mul", "IsLeftRegular", "IsRightRegular", "MulOpposite.unop", "isRightRegular_unop", "MulOpposite.instMul" ]
true
_private.Std.Tactic.BVDecide.Bitblast.BVExpr.Circuit.Impl.Expr.0.Std.Tactic.BVDecide.BVExpr.bitblast.go.match_17.eq_1
Std.Tactic.BVDecide.Bitblast.BVExpr.Circuit.Impl.Expr
[ "Std.Tactic.BVDecide.BVExpr.extract", "HMul.hMul", "Std.Tactic.BVDecide.BVExpr.bin", "Std.Tactic.BVDecide.BVBinOp", "Std.Tactic.BVDecide.BVUnOp", "BitVec", "instMulNat", "Std.Tactic.BVDecide.BVExpr.shiftLeft", "instHAdd", "Std.Tactic.BVDecide.BVExpr.arithShiftRight", "Std.Tactic.BVDecide.BVExpr....
true
_private.Lean.Elab.Match.0.Lean.Elab.Term.ToDepElimPattern.mkPatternRefMap.go
Lean.Elab.Match
[ "Lean.Expr.forEachWhere", "instMonadST", "Lean.Expr.instBEq", "ST.Ref.modify", "instMonadLiftT", "panicWithPosWithDecl", "Lean.isPatternWithRef", "ST.Ref.get", "instInhabitedPUnit", "Lean.Syntax", "Lean.Expr", "instOfNatNat", "Std.HashMap.instEmptyCollection", "Lean.ExprMap", "Unit", "...
true
instCommSemiringNNRat._proof_3
Mathlib.Data.NNRat.Defs
[ "CommSemiring.toSemiring", "Add.mk", "Rat", "PartialOrder.toPreorder", "Rat.instAddLeftMono", "Rat.commSemiring", "NNRat", "instCommSemiringNNRat._aux_1", "NonUnitalNonAssocSemiring.toAddCommMonoid", "instHAdd", "Nonneg.addMonoid._proof_1", "HAdd.hAdd", "NonAssocSemiring.toNonUnitalNonAssocS...
false
Nucleus.toInfHom
Mathlib.Order.Nucleus
[ "Nucleus", "InfHom", "SemilatticeInf.toMin", "SemilatticeInf" ]
true
_private.Lean.Compiler.LCNF.Visibility.0.Lean.Compiler.LCNF.collectUsedDecls.match_1
Lean.Compiler.LCNF.Visibility
[ "Lean.Compiler.LCNF.Purity", "Lean.Compiler.LCNF.Purity.pure", "Array", "Lean.Compiler.LCNF.Code", "Lean.Compiler.LCNF.Alt.casesOn", "Lean.Compiler.LCNF.Alt.alt", "Lean.Compiler.LCNF.Purity.impure", "Lean.Name", "Lean.Compiler.LCNF.Param", "Lean.Compiler.LCNF.Alt", "Eq", "Lean.Compiler.LCNF.Al...
false
AddCommGrpCat.instZeroHom.eq_1
Mathlib.Algebra.Category.Grp.Basic
[ "instZeroAddMonoidHom", "AddCommGrpCat.instZeroHom", "CategoryTheory.CategoryStruct.toQuiver", "AddCommGrpCat.instCategory", "Quiver.Hom", "AddMonoid.toAddZeroClass", "AddCommGroup.toAddGroup", "AddZeroClass.toAddZero", "AddCommGrpCat.carrier", "AddGroup.toSubNegMonoid", "AddCommGrpCat", "Zero...
true
CategoryTheory.Functor.IsDenseSubsite.mapPreimage_comp_assoc
Mathlib.CategoryTheory.Sites.DenseSubsite.Basic
[ "CategoryTheory.Category.assoc", "CategoryTheory.Functor", "Opposite", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "congrArg", "CategoryTheory.Functor.category", "Eq.mp", "id", "CategoryTheory.ObjectProperty.FullSubcategory.obj", "Mathlib.Tactic.Reassoc.eq_whisker'", "CategoryTheor...
true
_private.Mathlib.GroupTheory.Sylow.0.Sylow.not_dvd_index_aux
Mathlib.GroupTheory.Sylow
[ "Sylow.isPGroup'", "Sylow.toSubgroup", "MonoidHom.comap_bot", "Iff.mpr", "Eq.mpr", "MulOne.toOne", "False", "Nat.Prime", "Preorder.toLT", "Dvd.dvd", "InvOneClass.toOne", "Sylow", "DivInvOneMonoid.toInvOneClass", "ne_of_eq_of_ne", "Monoid.toMulOneClass", "congrArg", "Subgroup.FiniteIn...
true
CategoryTheory.ShortComplex.SnakeInput.functorL₃_map
Mathlib.Algebra.Homology.ShortComplex.SnakeLemma
[ "CategoryTheory.Abelian.toPreadditive", "CategoryTheory.ShortComplex.SnakeInput.L₃", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "CategoryTheory.ShortComplex.SnakeInput.functorL₃", "CategoryTheory.ShortComplex", "CategoryTheory.ShortComplex.SnakeInput", "CategoryTheory.Abelian", "Categor...
true
instPredOrderOrderDualOfSuccOrder._proof_1
Mathlib.Order.SuccPred.Basic
[ "Preorder.toLT", "Equiv.instEquivLike", "SuccOrder.succ", "OrderDual.ofDual", "Preorder.toLE", "Equiv", "LE.le", "LT.lt", "OrderDual", "SuccOrder", "OrderDual.instPreorder", "DFunLike.coe", "SuccOrder.succ_le_of_lt", "Preorder", "EquivLike.toFunLike" ]
false
PartialEquiv.piecewise._proof_1
Mathlib.Logic.Equiv.PartialEquiv
[ "Set.ite", "PartialEquiv.target", "Compl.compl", "PartialEquiv", "Decidable", "Membership.mem", "PartialEquiv.IsImage.mapsTo", "PartialEquiv.IsImage.compl", "Set.instCompl", "Set.MapsTo", "Set.MapsTo.piecewise_ite", "PartialEquiv.source", "PartialEquiv.IsImage", "PartialEquiv.toFun", "Se...
false
CategoryTheory.ShortComplex.SnakeInput.functorL₁'_map_τ₁
Mathlib.Algebra.Homology.ShortComplex.SnakeLemma
[ "CategoryTheory.Abelian.toPreadditive", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "CategoryTheory.ShortComplex.Hom.τ₁", "CategoryTheory.ShortComplex.SnakeInput.L₀", "CategoryTheory.ShortComplex", "CategoryTheory.ShortComplex.SnakeInput", "CategoryTheory.Abelian", "CategoryTheory.ShortC...
true
Std.DTreeMap.Equiv.getKeyGT?_eq
Std.Data.DTreeMap.Lemmas
[ "Std.DTreeMap", "Ord.mk", "Ordering", "Std.DTreeMap.inner", "Std.TransCmp", "Std.DTreeMap.getKeyGT?", "Std.DTreeMap.Equiv.inner", "Std.DTreeMap.wf", "Std.DTreeMap.Equiv", "Std.DTreeMap.Internal.Impl.Equiv.getKeyGT?_eq", "Eq", "Option" ]
true
ContMDiffAt.nsmul
Mathlib.Geometry.Manifold.Algebra.Monoid
[ "instHSMul", "NormedSpace", "ContMDiffWithinAt.nsmul", "Set.univ", "AddMonoid.toAddZeroClass", "AddMonoid.toNSMul", "AddZeroClass.toAddZero", "AddCommMonoid", "TopologicalSpace", "ModelWithCorners", "Nat", "ENat", "ContMDiffAt", "NontriviallyNormedField", "AddZero.toAdd", "HSMul.hSMul"...
true
Mathlib.Tactic.Widget.StringDiagram.Kind.bicategory
Mathlib.Tactic.Widget.StringDiagram
[ "Mathlib.Tactic.Widget.StringDiagram.Kind.bicategory", "Mathlib.Tactic.Widget.StringDiagram.Kind" ]
true
Pell.pell._unsafe_rec
Mathlib.NumberTheory.PellMatiyasevic
[ "HMul.hMul", "Pell.pell._unsafe_rec", "Prod.mk", "_private.Mathlib.NumberTheory.PellMatiyasevic.0.Pell.d", "instMulNat", "instOfNatNat", "Prod.fst", "instHAdd", "Unit", "HAdd.hAdd", "Pell.pell.match_1", "Nat", "LT.lt", "instAddNat", "instLTNat", "Prod", "OfNat.ofNat", "Prod.snd", ...
false
_private.Mathlib.MeasureTheory.Function.SimpleFuncDenseLp.0.MeasureTheory.Integrable.induction._simp_1_1
Mathlib.MeasureTheory.Function.SimpleFuncDenseLp
[ "MeasureTheory.Measure", "MeasureTheory.Integrable", "MeasureTheory.MemLp", "ContinuousENorm", "MeasurableSpace", "TopologicalSpace", "ContinuousENorm.toENorm", "ENNReal", "propext", "One.toOfNat1", "ENNReal.instOne", "OfNat.ofNat", "Eq.symm", "MeasureTheory.memLp_one_iff_integrable", "E...
false
_private.Mathlib.Algebra.Category.MonCat.Basic.0.CommMonCat.Hom.mk.injEq
Mathlib.Algebra.Category.MonCat.Basic
[ "CommMonCat.Hom", "MonoidHom", "Eq.propIntro", "Monoid.toMulOneClass", "CommMonCat.str", "CommMonCat.carrier", "MulOneClass.toMulOne", "CommMonCat", "CommMonoid.toMonoid", "_private.Mathlib.Algebra.Category.MonCat.Basic.0.CommMonCat.Hom.mk", "Eq.ndrec", "Eq.refl", "_private.Mathlib.Algebra.C...
true
SeparationQuotient.mk_smul
Mathlib.Topology.Algebra.SeparationQuotient.Basic
[ "instHSMul", "SMul", "ContinuousConstSMul", "TopologicalSpace", "SeparationQuotient", "SeparationQuotient.mk", "HSMul.hSMul", "SeparationQuotient.instSMul", "Eq", "rfl" ]
true
FilterBasis.filter.eq_1
Mathlib.Order.Filter.Bases.Basic
[ "FilterBasis.filter._proof_2", "instMembershipSetFilterBasis", "setOf", "FilterBasis.filter._proof_1", "Membership.mem", "Exists", "Filter.mk", "FilterBasis.filter._proof_3", "HasSubset.Subset", "And", "FilterBasis", "Eq.refl", "Eq", "FilterBasis.filter", "Filter", "Set.instHasSubset",...
true
Mathlib.Tactic.Choose.ChooseArg.mk.sizeOf_spec
Mathlib.Tactic.Choose
[ "Lean.TSyntax._sizeOf_inst", "Option._sizeOf_inst", "Mathlib.Tactic.Choose.ChooseArg", "Lean.Syntax._sizeOf_inst", "Lean.Syntax", "Mathlib.Tactic.Choose.ChooseArg._sizeOf_inst", "instOfNatNat", "Lean.Syntax.Term", "List.cons", "Mathlib.Tactic.Choose.ChooseArg.mk", "instHAdd", "HAdd.hAdd", "L...
true
IsCompactlyGenerated.BooleanGenerators.rec
Mathlib.Order.BooleanGenerators
[ "Lattice.toSemilatticeSup", "Finset", "PartialOrder.toPreorder", "Preorder.toLE", "Membership.mem", "Exists", "CompleteLattice.toConditionallyCompleteLattice", "CompleteLattice.toBoundedOrder", "IsCompactlyGenerated.BooleanGenerators.mk", "id", "HasSubset.Subset", "LE.le", "And", "SetLike....
false
_private.Mathlib.AlgebraicTopology.DoldKan.NReflectsIso.0.AlgebraicTopology.DoldKan.instReflectsIsomorphismsSimplicialObjectKaroubiChainComplexNatN₁._simp_2
Mathlib.AlgebraicTopology.DoldKan.NReflectsIso
[ "Opposite", "CategoryTheory.CategoryStruct.toQuiver", "AlgebraicTopology.DoldKan.MorphComponents", "Quiver.Hom", "CategoryTheory.Functor.category", "instOfNatNat", "CategoryTheory.Preadditive", "instHAdd", "AlgebraicTopology.DoldKan.MorphComponents.preComp_φ", "HAdd.hAdd", "SimplexCategory.mk", ...
false
CompleteSublattice.bot_mem
Mathlib.Order.CompleteSublattice
[ "Sublattice", "Lattice.toSemilatticeSup", "Sublattice.mem_carrier._simp_1", "sSup_empty", "CompleteLattice.toLattice", "congrArg", "CompleteSublattice.sSupClosed'", "CompleteSublattice.toSublattice", "OrderBot.toBot", "PartialOrder.toPreorder", "Preorder.toLE", "Sublattice.carrier", "Members...
true
Std.Sat.AIG.LawfulOperator.recOn
Std.Sat.AIG.LawfulOperator
[ "Std.Sat.AIG.Entrypoint.aig", "Std.Sat.AIG.Decl", "Std.Sat.AIG.Entrypoint", "Std.Sat.AIG.LawfulOperator.mk", "LE.le", "instLENat", "Array", "GetElem.getElem", "Std.Sat.AIG.LawfulOperator.rec", "Std.Sat.AIG", "Array.instGetElemNatLtSize", "Nat", "LT.lt", "Hashable", "instLTNat", "Eq", ...
false
Encodable.encode'
Mathlib.Logic.Encodable.Basic
[ "Function.Embedding.mk", "Encodable.encode_injective", "Function.Embedding", "Nat", "Encodable.encode", "Encodable" ]
true
Lean.Doc.DocHighlight.option.sizeOf_spec
Lean.Elab.DocString.Builtin
[ "Lean.Doc.DocHighlight", "instOfNatNat", "Lean.Doc.DocHighlight._sizeOf_inst", "instHAdd", "HAdd.hAdd", "Lean.instSizeOfName", "Nat", "SizeOf.sizeOf", "instAddNat", "Lean.Name", "Eq.refl", "OfNat.ofNat", "Lean.Doc.DocHighlight.option", "Eq" ]
true
NonUnitalAlgHom.fst._proof_3
Mathlib.Algebra.Algebra.NonUnitalHom
[ "AddMonoid.toAddZeroClass", "Prod.instNonUnitalNonAssocSemiring", "AddZeroClass.toAddZero", "Prod.fst", "NonUnitalNonAssocSemiring.toAddCommMonoid", "instHAdd", "HAdd.hAdd", "AddZero.toAdd", "AddCommMonoid.toAddMonoid", "Prod", "NonUnitalNonAssocSemiring", "Eq", "rfl" ]
false
Lean.initFn._@.Lean.PrettyPrinter.Delaborator.Options.547122284._hygCtx._hyg.4
Lean.PrettyPrinter.Delaborator.Options
[ "Lean.Option", "IO", "Lean.Name.mkStr3", "Lean.Option.Decl.mk", "Lean.KVMap.instValueBool", "Lean.Option.register", "Bool", "Lean.Name.mkStr2", "Bool.false" ]
false
_private.Mathlib.Data.Sum.Order.0.WithBot.orderIsoPUnitSumLex._simp_7
Mathlib.Data.Sum.Order
[ "Sum.inl", "Sum.inr", "Sum.Lex.sep", "True", "eq_true", "Eq", "Sum.Lex" ]
false