name
stringlengths
2
347
module
stringlengths
6
90
deps
listlengths
0
686
allowCompletion
bool
2 classes
AlgebraicGeometry.SheafedSpace.mk.injEq
Mathlib.Geometry.RingedSpace.SheafedSpace
[ "AlgebraicGeometry.SheafedSpace", "AlgebraicGeometry.PresheafedSpace.carrier", "Eq.propIntro", "TopCat.Presheaf.IsSheaf", "AlgebraicGeometry.SheafedSpace.mk", "AlgebraicGeometry.SheafedSpace.mk.inj", "AlgebraicGeometry.PresheafedSpace.presheaf", "Eq.ndrec", "Eq.refl", "AlgebraicGeometry.Presheafed...
true
ContDiffMapSupportedIn.fderivLM._proof_10
Mathlib.Analysis.Distribution.ContDiffMapSupportedIn
[ "NormedCommRing.toSeminormedCommRing", "Real", "NonUnitalCommRing.toNonUnitalNonAssocCommRing", "NormedSpace.toIsBoundedSMul", "UniformContinuousConstSMul.to_continuousConstSMul", "NormedSpace", "ContinuousLinearMap.topologicalSpace", "DistribMulAction.toDistribSMul", "AddCommGroup.toAddCommMonoid",...
false
EStateM.Backtrackable.recOn
Init.Prelude
[ "EStateM.Backtrackable.rec", "EStateM.Backtrackable", "EStateM.Backtrackable.mk" ]
false
Mathlib.Tactic.Ring.ExBase.atom.injEq
Mathlib.Tactic.Ring.Common
[ "Eq.propIntro", "Lean.Expr.const", "Mathlib.Tactic.Ring.ExBase.atom", "Mathlib.Tactic.Ring.ExBase", "Lean.Expr.sort", "Lean.Level", "List.cons", "Qq.Quoted", "Nat", "Eq.ndrec", "Lean.Expr.app", "Mathlib.Tactic.Ring.ExBase.atom.inj", "Eq.refl", "Lean.Level.succ", "Lean.Name.mkStr1", "Eq...
true
_private.Mathlib.RingTheory.Spectrum.Prime.ChevalleyComplexity.0.ChevalleyThm.PolynomialC.induction_aux._simp_1_10
Mathlib.RingTheory.Spectrum.Prime.ChevalleyComplexity
[ "instHSMul", "SMul", "Set.instSingletonSet", "Set.smul_set_singleton", "HSMul.hSMul", "Singleton.singleton", "Eq.symm", "Eq", "Set.smulSet", "Set" ]
false
CategoryTheory.Functor.OplaxMonoidal.whiskeringRight._proof_6
Mathlib.CategoryTheory.Monoidal.FunctorCategory
[ "CategoryTheory.Functor", "CategoryTheory.CategoryStruct.toQuiver", "CategoryTheory.NatTrans.ext'", "Quiver.Hom", "congrArg", "CategoryTheory.MonoidalCategory", "CategoryTheory.Functor.category", "CategoryTheory.Functor.comp", "CategoryTheory.Functor.OplaxMonoidal.δ", "id", "CategoryTheory.Monoi...
false
Std.Iter.allM_map
Init.Data.Iterators.Lemmas.Combinators.FilterMap
[ "Pure.pure", "Eq.mpr", "Std.IterStep", "Std.Iterators.Types.FilterMap.PlausibleStep.skip", "congrArg", "Monad.toApplicative", "Std.Iter.step_map", "Std.Iterators.Types.Map.instIterator", "MonadLiftT.monadLift", "Std.Iterators.Types.Map.instFinite", "Std.instLawfulIteratorLoopDefaultImplementatio...
true
_private.Std.Data.ExtDHashMap.Lemmas.0.Std.ExtDHashMap.mem_erase._simp_1_1
Std.Data.ExtDHashMap.Lemmas
[ "Std.ExtDHashMap.instMembershipOfEquivBEqOfLawfulHashable", "Membership.mem", "Std.ExtDHashMap.contains", "LawfulHashable", "Bool.true", "EquivBEq", "propext", "Std.ExtDHashMap", "Bool", "Hashable", "Eq.symm", "BEq", "Eq", "Std.ExtDHashMap.contains_iff_mem" ]
false
PiTensorProduct.map._proof_1
Mathlib.LinearAlgebra.PiTensorProduct
[ "PiTensorProduct.instModule", "CommSemiring.toSemiring", "PiTensorProduct.instAddCommMonoid", "smulCommClass_self", "AddCommMonoid", "CommSemiring", "CommMonoid.toMonoid", "CommSemiring.toCommMonoid", "Monoid.toSemigroup", "Module.toDistribMulAction", "SemigroupAction.toSMul", "AddCommMonoid.t...
false
_private.Lean.Elab.DocString.Builtin.Keywords.0.Lean.Doc.isAtoms
Lean.Elab.DocString.Builtin.Keywords
[ "StateT.run", "String", "Lean.Syntax", "Id", "Prod.fst", "List.cons", "List", "Bool", "_private.Lean.Elab.DocString.Builtin.Keywords.0.Lean.Doc.isAtoms.go", "List.nil" ]
true
Finset.trop_inf
Mathlib.Algebra.Tropical.BigOperators
[ "Multiset.sum", "Eq.mpr", "Multiset.map", "Tropical.instAddCommMonoidTropical", "congrArg", "HEq.refl", "Finset", "LinearOrder", "PartialOrder.toPreorder", "Preorder.toLE", "Function.comp", "Membership.mem", "SemilatticeInf.toPartialOrder", "Multiset", "DistribLattice.toLattice", "Eq.c...
true
CategoryTheory.Limits.Bicone.IsBilimit.mk.sizeOf_spec
Mathlib.CategoryTheory.Limits.Shapes.Biproducts
[ "CategoryTheory.Limits.HasZeroMorphisms", "CategoryTheory.Discrete._sizeOf_inst", "CategoryTheory.Limits.IsLimit._sizeOf_inst", "CategoryTheory.Limits.Bicone.toCocone", "CategoryTheory.Limits.Bicone.toCone", "CategoryTheory.Discrete.functor", "CategoryTheory.Limits.Bicone.IsBilimit.mk", "CategoryTheor...
true
ProofWidgets.Html._sizeOf_inst
ProofWidgets.Data.Html
[ "ProofWidgets.Html", "SizeOf.mk", "SizeOf", "ProofWidgets.Html._sizeOf_1" ]
false
CategoryTheory.EffectiveEpiStruct.noConfusionType
Mathlib.CategoryTheory.EffectiveEpi.Basic
[ "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "CategoryTheory.EffectiveEpiStruct.casesOn", "CategoryTheory.CategoryStruct.comp", "HEq", "CategoryTheory.Category.toCategoryStruct", "CategoryTheory.EffectiveEpiStruct", "Eq", "CategoryTheory.Category" ]
false
QuadraticAlgebra.instFinite
Mathlib.Algebra.QuadraticAlgebra.Defs
[ "Semiring.toModule", "QuadraticAlgebra", "instOfNatNat", "Finite.of_fintype", "Fin.fintype", "NonUnitalNonAssocSemiring.toAddCommMonoid", "NonAssocSemiring.toNonUnitalNonAssocSemiring", "Nat", "QuadraticAlgebra.basis", "QuadraticAlgebra.instModule", "Semiring", "Module.Finite", "Module.Finit...
true
ULift.up_iSup
Mathlib.Order.CompleteLattice.Lemmas
[ "iSup", "ULift", "SupSet", "congr_arg", "Set.preimage", "ULift.supSet", "Set.range", "ULift.down_iSup", "ULift.up", "Eq.symm", "Eq", "ULift.down", "SupSet.sSup" ]
true
Polygon.mk.sizeOf_spec
Mathlib.Geometry.Polygon.Basic
[ "instOfNatNat", "Polygon._sizeOf_inst", "Nat", "Polygon", "SizeOf.sizeOf", "Eq.refl", "SizeOf", "OfNat.ofNat", "Fin", "Polygon.mk", "Eq" ]
true
MeasureTheory.tendsto_limUnder_of_hasDerivAt_of_integrableOn_Ioi
Mathlib.MeasureTheory.Integral.IntegralEqImproper
[ "MeasureTheory.ae", "Iff.mpr", "Norm.norm", "Eq.mpr", "Set.Ioc", "InnerProductSpace.toNormedSpace", "NormedCommRing.toSeminormedCommRing", "NonAssocSemiring.toAddCommMonoidWithOne", "Real.partialOrder", "Real.instLE", "Real", "Set.Ioi", "Trans.trans", "MeasureTheory.Measure", "Preorder.t...
true
sigmaFinsuppEquivDFinsupp
Mathlib.Data.Finsupp.ToDFinsupp
[ "Finsupp.instFunLike", "instDecidableNot", "Finsupp.support", "sigmaFinsuppEquivDFinsupp._proof_1", "Membership.mem", "Equiv.mk", "Multiset", "sigmaFinsuppEquivDFinsupp._proof_4", "DFinsupp.instDFunLike", "Finset.sigma", "Equiv", "Subtype", "Sigma.fst", "DFinsupp.support", "Finset.val", ...
true
LinearPMap.ctorIdx
Mathlib.LinearAlgebra.LinearPMap
[ "AddCommGroup.toAddCommMonoid", "AddCommGroup", "LinearPMap", "Nat", "Module", "Ring.toSemiring", "Ring" ]
false
Option.get_of_eq_some
Init.Data.Option.Lemmas
[ "Option.some", "Bool.true", "_private.Init.Data.Option.Lemmas.0.Option.get_of_eq_some.match_1_1", "Option.get", "Bool", "Option.isSome", "Eq", "rfl", "Option" ]
true
LinearEquiv.multilinearMapCongrLeft._proof_3
Mathlib.LinearAlgebra.Multilinear.Basic
[ "CommSemiring.toSemiring", "RingHomInvPair", "CommSemiring", "RingHomInvPair.ids", "RingHom.id", "Semiring.toNonAssocSemiring" ]
false
_private.Mathlib.Analysis.SpecialFunctions.Trigonometric.Chebyshev.Extremal.0.Polynomial.Chebyshev.negOnePow_mul_negOnePow_mul_cancel
Mathlib.Analysis.SpecialFunctions.Trigonometric.Chebyshev.Extremal
[ "Mathlib.Tactic.Ring.mul_pp_pf_overlap", "one_pow", "NonAssocSemiring.toAddCommMonoidWithOne", "Mathlib.Tactic.Ring.single_pow", "MulOne.toOne", "Mathlib.Meta.NormNum.isNat_add", "Real", "Trans.trans", "NonUnitalCommRing.toNonUnitalNonAssocCommRing", "HMul.hMul", "Nat.rawCast", "Ring.toNonAsso...
true
ProofWidgets.Penrose.DiagramState._sizeOf_inst
ProofWidgets.Component.PenroseDiagram
[ "SizeOf.mk", "SizeOf", "ProofWidgets.Penrose.DiagramState._sizeOf_1", "ProofWidgets.Penrose.DiagramState" ]
false
left_neg_eq_right_neg
Mathlib.Algebra.Group.Defs
[ "Eq.mpr", "AddMonoid.toAddSemigroup", "congrArg", "add_assoc", "AddMonoid.toAddZeroClass", "AddZeroClass.toAddZero", "id", "zero_add", "AddZero.toZero", "instHAdd", "AddSemigroup.toAdd", "HAdd.hAdd", "AddMonoid", "AddZero.toAdd", "Zero.toOfNat0", "Eq.refl", "add_zero", "OfNat.ofNat...
true
Mathlib.Tactic.Ring.of_eq
Mathlib.Tactic.Ring.Basic
[ "Eq.ndrec", "Eq.refl", "Eq.symm", "Eq" ]
true
_private.Mathlib.NumberTheory.RamificationInertia.Ramification.0.Ideal._aux_Mathlib_NumberTheory_RamificationInertia_Ramification___unexpand_algebraMap_1
Mathlib.NumberTheory.RamificationInertia.Ramification
[ "Pure.pure", "cond", "Lean.TSyntax", "Unit.unit", "Lean.MonadRef.mkInfoFromRefPos", "Lean.Syntax.matchesIdent", "Lean.Name.mkNum", "instMonadExceptOfMonadExceptOf", "Lean.SourceInfo", "Lean.PrettyPrinter.UnexpandM", "MonadExcept.throw", "Lean.Syntax.isOfKind", "EStateM.instMonad", "Lean.Sy...
false
_private.Mathlib.Tactic.SimpRw.0.Mathlib.Tactic._aux_Mathlib_Tactic_SimpRw___elabRules_Mathlib_Tactic_tacticSimp_rw____1.match_1
Mathlib.Tactic.SimpRw
[ "Unit.unit", "Option.casesOn", "Option.some", "Lean.Syntax", "Option.none", "Unit", "Option" ]
false
Lean.CodeAction.insertBuiltin
Lean.Server.CodeActions.Attr
[ "Lean.CodeAction.builtinCmdCodeActions", "IO.instMonadLiftSTRealWorldBaseIO", "ST.Ref.modify", "instMonadLiftT", "IO", "IO.RealWorld", "Array", "Unit", "ST", "Lean.CodeAction.CommandCodeActions", "Lean.CodeAction.CommandCodeActions.insert", "Lean.Name", "IO.Error", "instMonadLiftTOfMonadLi...
true
_private.Mathlib.Data.EReal.Basic.0.EReal.coe_ennreal_mul._simp_1_3
Mathlib.Data.EReal.Basic
[ "ENNReal.ofNNReal", "HMul.hMul", "CommSemiring.toSemiring", "NNReal", "ENNReal.instCommSemiring", "ENNReal.coe_mul", "Distrib.toMul", "NonAssocSemiring.toNonUnitalNonAssocSemiring", "ENNReal", "NNReal.instSemiring", "NonUnitalNonAssocSemiring.toDistrib", "Eq.symm", "Semiring.toNonAssocSemiri...
false
CategoryTheory.Functor.corepresentable_preservesLimit
Mathlib.CategoryTheory.Limits.Yoneda
[ "CategoryTheory.Functor", "CategoryTheory.Limits.PreservesLimit", "Opposite", "CategoryTheory.coyoneda", "CategoryTheory.Functor.category", "CategoryTheory.Functor.coreprX", "CategoryTheory.Limits.preservesLimit_of_natIso", "CategoryTheory.Functor.IsCorepresentable", "Opposite.op", "CategoryTheory...
true
CategoryTheory.Functor.pointwiseLeftKanExtension._proof_4
Mathlib.CategoryTheory.Functor.KanExtension.Pointwise
[ "CategoryTheory.Functor", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "CategoryTheory.Functor.category", "CategoryTheory.Functor.comp", "CategoryTheory.CategoryStruct.id", "CategoryTheory.CostructuredArrow", "CategoryTheory.Limits.colimit", "CategoryTheory.Functor.map", "CategoryTheory...
false
CategoryTheory.sectionsFunctorNatIsoCoyoneda_inv_app_coe
Mathlib.CategoryTheory.Yoneda
[ "Inhabited.default", "CategoryTheory.Functor", "Opposite", "CategoryTheory.coyoneda", "Unique", "CategoryTheory.Functor.category", "Membership.mem", "CategoryTheory.sectionsFunctorNatIsoCoyoneda", "Opposite.op", "CategoryTheory.types", "CategoryTheory.Category.opposite", "Eq.refl", "Category...
true
NormedGroup.induced.eq_1
Mathlib.Analysis.Normed.Group.Basic
[ "Monoid.toMulOneClass", "NormedGroup", "SeminormedGroup.toGroup", "Group", "SeminormedGroup.toPseudoMetricSpace", "DivInvMonoid.toMonoid", "NormedGroup.toGroup", "SeminormedGroup.dist_eq", "MetricSpace.induced", "Group.toDivInvMonoid", "MetricSpace.eq_of_dist_eq_zero", "MulOneClass.toMulOne", ...
true
PEquiv.vecMul_toMatrix_toPEquiv
Mathlib.Data.Matrix.PEquiv
[ "PEquiv.instFunLikeOption", "NonAssocSemiring.toAddCommMonoidWithOne", "Equiv.instEquivLike", "HMul.hMul", "Finset.univ", "Finset.sum_ite_eq'", "Equiv.toPEquiv", "congrArg", "Option.instMembership", "Matrix", "Finset", "Matrix.of", "AddMonoid.toAddZeroClass", "Matrix.vecMul", "Classical....
true
SSet.Subcomplex.instDecidableEqObjOppositeSimplexCategoryToSSet._aux_1
Mathlib.AlgebraicTopology.SimplicialSet.Subcomplex
[ "SSet.Subcomplex.toSSet", "Opposite", "Membership.mem", "CategoryTheory.Subfunctor.obj", "Set.Elem", "SSet", "CategoryTheory.types", "SimplexCategory", "CategoryTheory.Category.opposite", "SSet.Subcomplex", "SimplexCategory.smallCategory", "Set.instMembership", "Subtype.instDecidableEq", "...
false
IsStrictlyPositive.sqrt
Mathlib.Analysis.SpecialFunctions.ContinuousFunctionalCalculus.Rpow.Basic
[ "IsSelfAdjoint", "Real.partialOrder", "Real", "Algebra.to_smulCommClass", "NonUnitalCommRing.toNonUnitalNonAssocCommRing", "instStarRingReal", "IsScalarTower.right", "Ring.toNonAssocRing", "IsTopologicalRing.toIsTopologicalSemiring", "CFC.sqrt", "PartialOrder.toPreorder", "PseudoMetricSpace.to...
true
MeasureTheory.Lp_toLp_restrict_smul
Mathlib.MeasureTheory.Integral.Bochner.Set
[ "MeasureTheory.ae", "instHSMul", "MeasureTheory.Measure", "NormedRing.toRing", "MeasureTheory.Lp.memLp", "Ring.toNonAssocRing", "congrArg", "DistribMulAction.toDistribSMul", "AddCommGroup.toAddCommMonoid", "MeasureTheory.AEEqFun.cast", "MeasureTheory.Lp.instModule", "AddMonoid.toAddZeroClass",...
true
SmoothBumpFunction.mk.noConfusion
Mathlib.Geometry.Manifold.BumpFunction
[ "SmoothBumpFunction.noConfusion", "Real", "extChartAt", "NormedSpace", "Real.denselyNormedField", "PartialEquiv.target", "HEq.refl", "id", "HasSubset.Subset", "ModelWithCorners.toFun'", "Set.instInter", "Inter.inter", "TopologicalSpace", "ModelWithCorners", "heq_of_eq", "SeminormedAddC...
false
Substring.Raw.ValidFor.of_eq
Batteries.Data.String.Lemmas
[ "Eq.mpr", "Substring.Raw.str", "congrArg", "Substring.Raw.mk", "String", "_private.Batteries.Data.String.Lemmas.0.Substring.Raw.ValidFor.of_eq.match_1_1", "String.utf8Len", "Substring.Raw.ValidFor", "id", "String.ofList_toList", "Substring.Raw", "Substring.Raw.ValidFor.mk", "instHAppendOfApp...
true
instComplementInt16
Init.Data.SInt.Basic
[ "Int16", "Complement.mk", "Complement", "Int16.complement" ]
true
MeasureTheory.measure_union_le
Mathlib.MeasureTheory.OuterMeasure.Basic
[ "cond", "Eq.mpr", "False", "Bool.fintype", "Finset.univ", "ENNReal.instAddCommMonoid", "congrArg", "CommSemiring.toSemiring", "Finset", "AddMonoid.toAddZeroClass", "PartialOrder.toPreorder", "Preorder.toLE", "Membership.mem", "Set.instUnion", "AddZeroClass.toAddZero", "Eq.mp", "id", ...
true
sub_add_sub_comm
Mathlib.Algebra.Group.Basic
[ "neg_add_rev", "AddMonoid.toAddSemigroup", "add_left_comm", "congrArg", "add_assoc", "AddMonoid.toAddZeroClass", "sub_eq_add_neg", "HSub.hSub", "AddZeroClass.toAddZero", "SubtractionMonoid.toSubNegMonoid", "SubtractionCommMonoid.toSubtractionMonoid", "add_comm", "SubtractionCommMonoid.toAddC...
true
_private.Mathlib.GroupTheory.Archimedean.0.Subgroup.exists_isLeast_one_lt._simp_1_2
Mathlib.GroupTheory.Archimedean
[ "HMul.hMul", "Monoid.toMulOneClass", "DivInvMonoid.toZPow", "Group", "zpow_add_one", "MulOne.toMul", "DivInvMonoid.toMonoid", "Int", "Group.toDivInvMonoid", "instHAdd", "MulOneClass.toMulOne", "HPow.hPow", "instOfNat", "HAdd.hAdd", "Int.instAdd", "instHPow", "OfNat.ofNat", "Eq.symm...
false
HomologicalComplex.cylinder.ι₀_desc
Mathlib.Algebra.Homology.HomotopyCofiber
[ "CategoryTheory.Category.assoc", "HomologicalComplex.instCategory", "HomologicalComplex.homotopyCofiber.desc", "Homotopy.ofEq", "Equiv.instEquivLike", "HomologicalComplex.cylinder.desc", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "congrArg", "CategoryTheory.Limits.biprod.desc", "Dec...
true
Lean.Lsp.DidChangeTextDocumentParams.mk
Lean.Data.Lsp.TextSync
[ "Array", "Lean.Lsp.VersionedTextDocumentIdentifier", "Lean.Lsp.TextDocumentContentChangeEvent", "Lean.Lsp.DidChangeTextDocumentParams.mk", "Lean.Lsp.DidChangeTextDocumentParams" ]
true
_private.Init.Data.Array.Find.0.Array.get_find?_mem._simp_1_1
Init.Data.Array.Find
[ "List.find?", "Membership.mem", "Bool.true", "List", "List.instMembership", "Option.get", "True", "eq_true", "Bool", "List.get_find?_mem", "Option.isSome", "Eq" ]
false
_private.Lean.Meta.Tactic.Grind.Util.0._regBuiltin.Lean.Meta.Grind.reducePreMatchCond.declare_56._@.Lean.Meta.Tactic.Grind.Util.2249970803._hygCtx._hyg.10
Lean.Meta.Tactic.Grind.Util
[ "IO", "Lean.Meta.DiscrTree.Key.star", "Lean.Name.mkStr3", "Lean.Meta.DiscrTree.Key", "instOfNatNat", "Lean.Meta.Grind.reducePreMatchCond", "List.toArray", "List.cons", "Unit", "Nat", "Lean.Meta.Simp.registerBuiltinDSimproc", "OfNat.ofNat", "Lean.Name.mkStr4", "Lean.Meta.DiscrTree.Key.const...
false
Primrec.nat_casesOn
Mathlib.Computability.Primrec.Basic
[ "Primrec.nat_casesOn'", "Primcodable.ofDenumerable", "Primrec", "Nat", "Primcodable", "Denumerable.nat", "Primrec₂.comp", "Primrec.id", "Nat.casesOn", "Primrec₂" ]
true
Std.ExtHashMap.get?_eq_getElem?
Std.Data.ExtHashMap.Lemmas
[ "Membership.mem", "LawfulHashable", "Std.ExtHashMap", "Std.ExtHashMap.get?", "EquivBEq", "Hashable", "GetElem?.getElem?", "Std.ExtHashMap.instGetElem?Mem", "Std.ExtHashMap.instMembershipOfEquivBEqOfLawfulHashable", "BEq", "Eq", "rfl", "Option" ]
true
Lean.Lsp.instHashableResolvableCompletionItem
Lean.Data.Lsp.LanguageFeatures
[ "Hashable.mk", "Lean.Lsp.instHashableResolvableCompletionItem.hash", "Lean.Lsp.ResolvableCompletionItem", "Hashable" ]
true
ModuleCat.piIsoPi_hom_ker_subtype
Mathlib.Algebra.Category.ModuleCat.Products
[ "CategoryTheory.Limits.HasProduct", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "ModuleCat", "AddCommGroup.toAddCommMonoid", "ModuleCat.piIsoPi", "Pi.module", "CategoryTheory.Discrete.functor", "CategoryTheory.Limits.Pi.π", "CategoryTheory.Limits.limit.cone", "ModuleCat.productCone",...
true
monovary_iff_mul_rearrangement
Mathlib.Algebra.Order.Monovary
[ "Semiring.toModule", "HMul.hMul", "Monovary", "Ring.toNonAssocRing", "congrArg", "AddCommGroup.toAddCommMonoid", "LinearOrder", "PartialOrder.toPreorder", "IsStrictOrderedRing", "_private.Mathlib.Algebra.Order.Monovary.0.monovary_iff_mul_rearrangement._simp_1_1", "Preorder.toLE", "SemilatticeI...
true
FractionalIdeal.coeIdeal_inf
Mathlib.RingTheory.FractionalIdeal.Basic
[ "RingHomSurjective.ids", "CommRing", "FractionalIdeal.instMin", "Semiring.toModule", "CommSemiring.toSemiring", "Algebra", "Algebra.toSMul", "Algebra.toModule", "Algebra.linearMap", "NonAssocSemiring.toMulZeroOneClass", "Ideal", "MulZeroOneClass.toMulOneClass", "FaithfulSMul", "NonUnitalNo...
true
_private.Mathlib.Algebra.Homology.Embedding.Basic.0.ComplexShape.notMem_range_embeddingUpIntLE_iff._proof_1_2
Mathlib.Algebra.Homology.Embedding.Basic
[ "Int.Linear.eq_of_core", "Lean.RArray.leaf", "False", "Lean.Grind.not_not", "HMul.hMul", "Int.Linear.norm_le", "Int.Linear.le_unsat", "Int.Linear.eq_norm", "Classical.byContradiction", "HSub.hSub", "Eq.mp", "Lean.RArray.branch", "Int.Linear.Expr.add", "id", "Lean.RArray", "Int.instNegI...
false
Sum.Lex.mono
Init.Data.Sum.Lemmas
[ "HEq.refl", "Sum", "Sum.inl", "Sum.Lex.inl", "Sum.inr", "Sum.Lex.sep", "Sum.Lex.inr", "Eq.ndrec", "Eq.refl", "HEq", "Eq.symm", "Eq", "Sum.Lex.casesOn", "Sum.Lex" ]
true
AlgebraicGeometry.opensRestrict
Mathlib.AlgebraicGeometry.Restrict
[ "AlgebraicGeometry.SheafedSpace.instTopologicalSpaceCarrierCarrier", "AlgebraicGeometry.Scheme", "AlgebraicGeometry.PresheafedSpace.carrier", "TopologicalSpace.Opens.instPartialOrder", "CommRingCat", "Equiv.trans", "AlgebraicGeometry.IsOpenImmersion.opensEquiv", "AlgebraicGeometry.Scheme.Hom.opensRang...
true
_private.Lean.Widget.Diff.0.Lean.Widget.instAppendExprDiff
Lean.Widget.Diff
[ "Append", "_private.Lean.Widget.Diff.0.Lean.Widget.ExprDiff.mk", "_private.Lean.Widget.Diff.0.Lean.Widget.ExprDiff.changesAfter", "Std.TreeMap.mergeWith", "Ord.compare", "Lean.SubExpr.Pos", "_private.Lean.Widget.Diff.0.Lean.Widget.ExprDiffTag", "Append.mk", "_private.Lean.Widget.Diff.0.Lean.Widget.E...
true
_private.Mathlib.MeasureTheory.Measure.Portmanteau.0.MeasureTheory.FiniteMeasure.limsup_measure_closed_le_of_tendsto._simp_1_2
Mathlib.MeasureTheory.Measure.Portmanteau
[ "le_refl", "Preorder.toLE", "LE.le", "True", "eq_true", "Eq", "Preorder" ]
false
AlgebraicClosure.instCommRing._aux_34
Mathlib.FieldTheory.IsAlgClosed.AlgebraicClosure
[ "Nat.instMulZeroClass", "Semiring.toModule", "AddMonoidAlgebra.commRing", "Field.toSemifield", "Finsupp.instAddCommMonoid", "Submodule.Quotient.addCommGroup._aux_12", "Ring.toAddCommGroup", "Nat", "MvPolynomial", "AlgebraicClosure.maxIdeal", "Nat.instAddCommMonoid", "Semifield.toCommSemiring",...
false
Lean.Meta.Grind.Arith.Cutsat.State.nonlinearOccs._default
Lean.Meta.Tactic.Grind.Arith.Cutsat.Types
[ "id", "Int.Linear.Var", "instHashableNat", "instBEqOfDecidableEq", "Lean.PersistentHashMap.Node.entries", "Lean.PersistentHashMap", "Lean.PersistentHashMap.mk", "List", "instDecidableEqNat", "Lean.PersistentHashMap.mkEmptyEntriesArray" ]
false
Std.Rxi.HasSize.mk._flat_ctor
Init.Data.Range.Polymorphic.Basic
[ "Nat", "Std.Rxi.HasSize", "Std.Rxi.HasSize.mk" ]
false
_private.Mathlib.Topology.Algebra.Ring.Compact.0.Ideal.isOpen_of_isMaximal._proof_1_1
Mathlib.Topology.Algebra.Ring.Compact
[ "IsSemitopologicalRing.toIsTopologicalAddGroup", "CommRing", "NonUnitalCommRing.toNonUnitalNonAssocCommRing", "Submodule.t3_quotient_of_isClosed", "Semiring.toModule", "CommRing.toNonUnitalCommRing", "CommSemiring.toSemiring", "Finite", "IsNoetherianRing.isClosed_ideal", "AddCommGroup.toAddGroup",...
false
AlgebraicGeometry.isLimitOpensCone._proof_1
Mathlib.AlgebraicGeometry.AffineTransitionLimit
[ "CategoryTheory.Over.instHasTerminal", "CategoryTheory.Over", "CategoryTheory.isConnected_of_hasTerminal", "CategoryTheory.instCategoryOver", "CategoryTheory.IsConnected", "CategoryTheory.Category" ]
false
cfc_comp_zpow._auto_3
Mathlib.Analysis.CStarAlgebra.ContinuousFunctionalCalculus.Unital
[ "Lean.Syntax.node", "Array.push", "Lean.Syntax", "Array.empty", "Lean.SourceInfo.none", "Lean.Name.mkStr1", "Lean.Name.mkStr4", "Lean.mkAtom" ]
false
Lean.MonadRef.rec
Init.Prelude
[ "Lean.Syntax", "Lean.MonadRef", "Lean.MonadRef.mk" ]
false
Mathlib.Meta.FunProp.FunctionData._sizeOf_inst
Mathlib.Tactic.FunProp.FunctionData
[ "Mathlib.Meta.FunProp.FunctionData", "Mathlib.Meta.FunProp.FunctionData._sizeOf_1", "SizeOf.mk", "SizeOf" ]
false
MvPolynomial.IsWeightedHomogeneous.weightedHomogeneousComponent_ne
Mathlib.RingTheory.MvPolynomial.WeightedHomogeneous
[ "Finsupp.instAddZeroClass", "Eq.mpr", "NonAssocSemiring.toAddCommMonoidWithOne", "Nat.instMulZeroClass", "Semiring.toModule", "AddMonoidAlgebra.addAddCommMonoid", "Finsupp.weight", "congrArg", "CommSemiring.toSemiring", "MvPolynomial.ext", "ite_self", "AddMonoid.toAddZeroClass", "AddMonoidAl...
true
Submodule.annihilator_map_mkQ_eq_colon
Mathlib.RingTheory.Ideal.Colon
[ "Iff.mpr", "Eq.mpr", "Submodule", "Submodule.Quotient.instZeroQuotient", "RingHomSurjective.ids", "Submodule.colon", "instHSMul", "Semiring.toModule", "Submodule.Quotient.addCommGroup", "congrArg", "DistribMulAction.toDistribSMul", "AddCommGroup.toAddCommMonoid", "Submodule.Quotient.mk", "...
true
MeasureTheory.empty_mem_measurableCylinders
Mathlib.MeasureTheory.Constructions.Cylinders
[ "Eq.mpr", "MeasureTheory.cylinder_empty", "MeasurableSet", "MeasurableSet.empty", "Iff.of_eq", "congrArg", "Finset", "_private.Mathlib.MeasureTheory.Constructions.Cylinders.0.MeasureTheory.empty_mem_measurableCylinders._simp_1_2", "MeasureTheory.measurableCylinders", "Membership.mem", "Exists", ...
true
Std.ExtTreeMap.self_le_maxKey!_insertIfNew
Std.Data.ExtTreeMap.Lemmas
[ "Std.ExtTreeMap.maxKey!", "Ordering", "Std.TransCmp", "Bool.true", "Std.ExtTreeMap", "Std.ExtTreeMap.inner", "Bool", "Inhabited", "Std.ExtTreeMap.insertIfNew", "Ordering.isLE", "Eq", "Std.ExtDTreeMap.self_le_maxKey!_insertIfNew" ]
true
SimpleGraph.not_isTutteViolator_of_isPerfectMatching
Mathlib.Combinatorics.SimpleGraph.Tutte
[ "Eq.mpr", "Nat.card_le_card_of_injective", "Preorder.toLT", "Subtype.val_injective", "SimpleGraph.Subgraph", "SimpleGraph.oddComponents", "Subtype.finite", "Set.univ", "Finite", "PartialOrder.toPreorder", "Odd", "Function.Injective.eq_iff", "Preorder.toLE", "SimpleGraph.ConnectedComponent....
true
OpenSubgroup.instLattice.eq_1
Mathlib.Topology.Algebra.OpenSubgroup
[ "OpenSubgroup.instSemilatticeInfOpenSubgroup", "Lattice", "OpenSubgroup.instLattice._proof_2", "OpenSubgroup", "Preorder.toLT", "Lattice.toSemilatticeSup", "OpenSubgroup.instMax", "Monoid.toMulOneClass", "OpenSubgroup.instLattice._proof_3", "PartialOrder.toPreorder", "OpenSubgroup.instLattice._p...
true
CategoryTheory.Dial.tensorObjImpl._proof_2
Mathlib.CategoryTheory.Dialectica.Monoidal
[ "CategoryTheory.Limits.HasLimit", "CategoryTheory.Limits.fintypeWalkingPair", "CategoryTheory.Limits.WalkingPair", "Finite.of_fintype", "CategoryTheory.Limits.hasLimitOfHasLimitsOfShape", "CategoryTheory.discreteCategory", "CategoryTheory.Limits.pair", "CategoryTheory.Dial", "CategoryTheory.Limits.h...
false
Lean.Meta.instDecidableEqProjReductionKind._proof_1
Lean.Meta.Basic
[ "congrArg", "Lean.Meta.ProjReductionKind.ofNat", "Lean.Meta.ProjReductionKind", "Eq.mp", "Nat", "Lean.Meta.ProjReductionKind.ctorIdx", "Eq", "Lean.Meta.ProjReductionKind.ofNat_ctorIdx" ]
false
WeaklyLawfulMonadAttach.casesOn
Init.Control.MonadAttach
[ "Monad.toApplicative", "WeaklyLawfulMonadAttach", "Subtype", "WeaklyLawfulMonadAttach.mk", "MonadAttach", "Applicative.toFunctor", "MonadAttach.attach", "Monad", "Subtype.val", "Eq", "MonadAttach.CanReturn", "Functor.map", "WeaklyLawfulMonadAttach.rec" ]
false
_private.Init.Data.BitVec.Lemmas.0.BitVec.cpop_cons._simp_1_1
Init.Data.BitVec.Lemmas
[ "Nat.lt_add_one", "instOfNatNat", "instHAdd", "HAdd.hAdd", "Nat", "LT.lt", "True", "eq_true", "instAddNat", "instLTNat", "OfNat.ofNat", "Eq" ]
false
Plausible.Gen.chooseNat
Plausible.Gen
[ "Pure.pure", "Plausible.Gen.getSize", "ReaderT", "Monad.toApplicative", "ULift", "ReaderT.instMonad", "Subtype", "instOfNatNat", "LE.le", "instLENat", "Id", "Applicative.toPure", "Except.instMonad", "Plausible.Gen.choose", "And", "Nat", "Monad.toBind", "StdGen", "Plausible.Random...
true
Lean.Meta.Grind.Arith.Linear.pp?
Lean.Meta.Tactic.Grind.Arith.Linear.PP
[ "Pure.pure", "Lean.Meta.Grind.Arith.Linear.State", "Lean.MessageData", "Unit.unit", "Std.instToFormatString", "Lean.Meta.Grind.Arith.Linear.linearExt", "Lean.TraceResult", "Lean.Meta.Grind.Goal", "Array.push", "Lean.Core.instMonadLiftIOCoreM", "instForInOfForIn'", "ReaderT", "String", "Lea...
true
CategoryTheory.ComposableArrows.Precomp.map.congr_simp
Mathlib.CategoryTheory.ComposableArrows.Basic
[ "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "CategoryTheory.ComposableArrows", "Eq.rec", "CategoryTheory.ComposableArrows.Precomp.obj", "instOfNatNat", "LE.le", "instLEFin", "instHAdd", "HAdd.hAdd", "Nat", "CategoryTheory.ComposableArrows.left", "instAddNat", "Eq.refl", "Cate...
true
Set.empty_disjoint._simp_1
Mathlib.Data.Set.Disjoint
[ "PartialOrder.toPreorder", "Preorder.toLE", "Disjoint", "SemilatticeInf.toPartialOrder", "DistribLattice.toLattice", "Set.instDistribLattice", "Set.instBoundedOrder", "BoundedOrder.toOrderBot", "True", "eq_true", "Set.instEmptyCollection", "EmptyCollection.emptyCollection", "Eq", "Set.empt...
false
_private.Lean.Elab.Tactic.Grind.Main.0.Lean.Elab.Tactic.evalGrindTraceCore.match_3
Lean.Elab.Tactic.Grind.Main
[ "Lean.Meta.Grind.Goal", "Lean.Meta.Grind.ActionResult.casesOn", "Lean.Meta.Grind.ActionResult.closed", "List", "Lean.Meta.Grind.ActionResult.stuck", "Lean.Meta.Grind.TGrind", "Lean.Meta.Grind.ActionResult" ]
false
ProofWidgets.Jsx.delabHtmlOfComponent'
ProofWidgets.Data.Html
[ "Lean.TSyntax", "Inhabited.default", "Lean.PrettyPrinter.Delaborator.instInhabitedDelabM", "Lean.PrettyPrinter.Delaborator.DelabM", "List.cons", "Lean.SyntaxNodeKind", "Lean.Name.mkStr1", "List.nil" ]
true
Group.rootableByNatOfRootableByInt.eq_1
Mathlib.GroupTheory.Divisible
[ "Nat.instMulZeroClass", "NonUnitalCommRing.toNonUnitalNonAssocCommRing", "CommRing.toNonUnitalCommRing", "RootableBy.mk", "DivInvMonoid.toZPow", "Group", "NonUnitalNonAssocSemiring.toMulZeroClass", "NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring", "DivInvMonoid.toMonoid", "Ne", "Group.rootabl...
true
Rat.zero_add
Init.Data.Rat.Lemmas
[ "Rat.instOfNat", "Rat.add_def'", "Rat.num", "HMul.hMul", "congrArg", "Rat", "Rat.den", "instMulNat", "Int", "Rat.mkRat_self", "Nat.cast", "Int.instMul", "mkRat", "instHAdd", "Int.mul_one", "instOfNat", "HAdd.hAdd", "Nat", "congr", "True", "eq_self", "Rat.instAdd", "of_eq_...
true
uniform_continuous_npow_on_bounded
Mathlib.Algebra.Order.Field.Basic
[ "IsRightCancelAdd.addRightStrictMono_of_addRightMono", "AddGroup.toSubtractionMonoid", "Distrib.leftDistribClass", "Eq.mpr", "GroupWithZero.toMonoidWithZero", "mul_nonneg", "MulOne.toOne", "lt_of_le_of_lt", "LE.le.eq_or_lt", "pow_pos", "lt_add_of_pos_right", "Semigroup.toMul", "Preorder.toLT...
true
EuclideanGeometry.image_inversion_sphere_dist_center
Mathlib.Geometry.Euclidean.Inversion.ImageHyperplane
[ "Eq.mpr", "InnerProductSpace.toNormedSpace", "Real", "AffineSubspace.perpBisector", "Real.instZero", "Real.instRCLike", "congrArg", "NormedSpace.toModule", "EuclideanGeometry.inversion_involutive", "id", "Insert.insert", "EuclideanGeometry.preimage_inversion_sphere_dist_center", "Ne", "Rea...
true
_private.Mathlib.CategoryTheory.Presentable.OrthogonalReflection.0.CategoryTheory.OrthogonalReflection.toSucc_surjectivity._simp_1_1
Mathlib.CategoryTheory.Presentable.OrthogonalReflection
[ "CategoryTheory.MorphismProperty", "CategoryTheory.OrthogonalReflection.D₁", "CategoryTheory.OrthogonalReflection.D₁.obj₂", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "CategoryTheory.OrthogonalReflection.D₁.ιLeft", "CategoryTheory.OrthogonalReflection.D₁.obj₁", "CategoryTheory.Limits.HasC...
false
UniformConcaveOn
Mathlib.Analysis.Convex.Strong
[ "Norm.norm", "Real.partialOrder", "Real.instLE", "Real", "instHSMul", "HMul.hMul", "NormedSpace", "Real.instZero", "CommSemiring.toSemiring", "DistribMulAction.toDistribSMul", "NormedSpace.toModule", "AddMonoid.toAddZeroClass", "HSub.hSub", "PseudoMetricSpace.toUniformSpace", "Algebra.to...
true
CategoryTheory.GrothendieckTopology.Point
Mathlib.CategoryTheory.Sites.Point.Basic
[ "CategoryTheory.GrothendieckTopology.Point.mk", "CategoryTheory.GrothendieckTopology", "CategoryTheory.Category" ]
true
CategoryTheory.Limits.colimitHomIsoLimitYoneda._proof_1
Mathlib.CategoryTheory.Limits.IndYoneda
[ "CategoryTheory.yoneda_preservesLimit", "CategoryTheory.Functor.op", "CategoryTheory.Functor", "Opposite", "CategoryTheory.Functor.category", "CategoryTheory.Functor.comp", "CategoryTheory.Limits.HasLimit", "CategoryTheory.yoneda", "CategoryTheory.Limits.instHasLimitCompOfPreservesLimit", "Categor...
false
Subalgebra.equivOfEq._proof_4
Mathlib.Algebra.Algebra.Subalgebra.Basic
[ "Subalgebra.instSetLike", "Algebra", "Membership.mem", "Eq.rec", "Subtype", "CommSemiring", "Semiring", "Subalgebra", "Eq.symm", "Subtype.val", "Eq", "SetLike.instMembership", "Subtype.property" ]
false
Lean.Lsp.instToJsonInitializeResult
Lean.Data.Lsp.InitShutdown
[ "Lean.Lsp.instToJsonInitializeResult.toJson", "Lean.Lsp.InitializeResult", "Lean.ToJson.mk", "Lean.ToJson" ]
true
Std.ExtTreeMap.getElem!_eq_default
Std.Data.ExtTreeMap.Lemmas
[ "Inhabited.default", "Membership.mem", "Ordering", "Std.TransCmp", "Std.ExtTreeMap", "Std.ExtTreeMap.inner", "Std.ExtDTreeMap.Const.get!_eq_default", "Inhabited", "Std.ExtTreeMap.instGetElem?Mem", "Std.ExtTreeMap.instMembershipOfTransCmp", "Eq", "GetElem?.getElem!", "Not" ]
true
Lean.Grind.Linarith.Expr.collectVars
Lean.Meta.Tactic.Grind.Arith.Linear.VarRename
[ "Lean.Grind.Linarith.Expr.zero", "Lean.Grind.Linarith.Expr", "Lean.Grind.Linarith.Expr.brecOn", "Lean.Grind.Linarith.Expr.neg", "Lean.Grind.Linarith.Expr.intMul", "HAndThen.hAndThen", "Lean.Grind.Linarith.Expr.natMul", "instHAndThenOfAndThen", "Lean.Meta.Grind.instAndThenVarCollector", "id", "Le...
true
_private.Lean.Meta.InferType.0.Lean.Meta.isPropQuickApp._unsafe_rec
Lean.Meta.InferType
[ "Pure.pure", "Lean.LBool.false", "Lean.LBool.undef", "_private.Lean.Meta.InferType.0.Lean.Meta.inferMVarType", "Lean.Meta.State", "_private.Lean.Meta.InferType.0.Lean.Meta.isPropQuickApp._unsafe_rec", "Lean.MVarId", "Lean.Expr", "Lean.Meta.MetaM", "IO.RealWorld", "Lean.FVarId", "instOfNatNat",...
false
RpcEncodablePacket.«_@».Mathlib.Tactic.Widget.SelectPanelUtils.2749655504._hygCtx._hyg.1.noConfusion
Mathlib.Tactic.Widget.SelectPanelUtils
[ "Lean.Json", "RpcEncodablePacket.«_@».Mathlib.Tactic.Widget.SelectPanelUtils.2749655504._hygCtx._hyg.1.casesOn", "RpcEncodablePacket.«_@».Mathlib.Tactic.Widget.SelectPanelUtils.2749655504._hygCtx._hyg.1.noConfusionType", "RpcEncodablePacket._@.Mathlib.Tactic.Widget.SelectPanelUtils.2749655504._hygCtx._hyg.1",...
false
_private.Lean.Elab.Tactic.BVDecide.LRAT.Trim.0.Lean.Elab.Tactic.BVDecide.LRAT.trim.useAnalysis.go.match_1
Lean.Elab.Tactic.BVDecide.LRAT.Trim
[ "Unit.unit", "Std.Tactic.BVDecide.LRAT.IntAction", "Option.casesOn", "Option.some", "Option.none", "Unit", "Option" ]
false
IntermediateField.adjoinRootEquivAdjoin._proof_1
Mathlib.FieldTheory.IntermediateField.Adjoin.Basic
[ "Subfield.subtype", "Iff.mpr", "IntermediateField.aeval_gen_minpoly", "Set.singleton_subset_iff", "Eq.mpr", "Subfield.closure_le", "Subfield.toDivisionRing", "SubsemiringClass.nontrivial", "NonUnitalCommRing.toNonUnitalNonAssocCommRing", "CommRing.toNonUnitalCommRing", "AdjoinRoot", "congrArg"...
false
Aesop.Goal.instBEq
Aesop.Tree.Data
[ "Aesop.Goal.id", "Aesop.Goal", "BEq.mk", "Aesop.GoalId", "Aesop.instDecidableEqGoalId", "instBEqOfDecidableEq", "BEq.beq", "BEq" ]
true