name
stringlengths
2
347
module
stringlengths
6
90
deps
listlengths
0
692
allowCompletion
bool
2 classes
Lean.Meta.Grind.instNonemptyState
Lean.Meta.Tactic.Grind.Types
[ "Lean.ExprStructMap", "Array.mkEmpty", "Lean.PersistentArrayNode.node", "Lean.Meta.Simp.Diagnostics.mk", "Lean.Meta.Grind.State", "UInt64", "Lean.Expr.instBEq", "Lean.Meta.CongrTheorem", "Lean.Meta.Grind.instHashableCongrTheoremCacheKey", "Lean.Meta.instHashableOrigin", "Lean.Meta.instBEqOrigin"...
true
Std.DTreeMap.instSliceableRcoSlice._auto_1
Std.Data.DTreeMap.Slice
[ "Lean.Syntax.node", "Lean.Syntax.ident", "Array.push", "String.toRawSubstring", "Lean.Syntax", "Array.empty", "Lean.Syntax.Preresolved", "Lean.SourceInfo.none", "Lean.Name.mkStr1", "Lean.Name.mkStr4", "Lean.mkAtom", "List.nil" ]
false
CategoryTheory.Adjunction.IsTriangulated.commShift._autoParam
Mathlib.CategoryTheory.Triangulated.Adjunction
[ "Lean.Syntax.node", "Array.push", "Lean.Syntax", "Array.empty", "Lean.SourceInfo.none", "Lean.Name.mkStr1", "Lean.Name.mkStr4", "Lean.mkAtom" ]
false
_private.Mathlib.CategoryTheory.Limits.FilteredColimitCommutesProduct.0.CategoryTheory.Limits.pointwiseProductCompEvaluation._simp_1
Mathlib.CategoryTheory.Limits.FilteredColimitCommutesProduct
[ "CategoryTheory.Functor", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "CategoryTheory.Functor.category", "CategoryTheory.CategoryStruct.comp", "CategoryTheory.Category.toCategoryStruct", "CategoryTheory.NatTrans.comp_app", "Eq.symm", "Eq", "CategoryTheory.Functor.obj", "CategoryTheor...
false
_private.Mathlib.RingTheory.MvPowerSeries.Substitution.0.MvPowerSeries.rescale_zero._simp_1_3
Mathlib.RingTheory.MvPowerSeries.Substitution
[ "DFunLike.ext_iff", "DFunLike", "propext", "Eq", "DFunLike.coe" ]
false
CategoryTheory.Functor.isLeftDerivedFunctor_iff_of_iso
Mathlib.CategoryTheory.Functor.Derived.LeftDerived
[ "Eq.mpr", "CategoryTheory.MorphismProperty", "CategoryTheory.Functor", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "congrArg", "CategoryTheory.Functor.isRightKanExtension_iff_of_iso", "CategoryTheory.Functor.category", "CategoryTheory.Functor.comp", "CategoryTheory.Functor.IsLeftDerive...
true
Aesop.InstMap.mk.injEq
Aesop.Forward.State
[ "Aesop.InstMap.mk", "Aesop.instHashableSlotIndex", "Aesop.InstMap", "Aesop.Hyp.instBEq", "Eq.propIntro", "Lean.PHashMap", "Aesop.Match.instBEq", "Aesop.SlotIndex", "Aesop.Match", "Lean.PHashSet", "Aesop.InstMap.mk.inj", "Aesop.EMap", "Eq.ndrec", "Eq.refl", "Aesop.Match.instHashable", "...
true
_private.Std.Data.DTreeMap.Internal.Balancing.0.Std.DTreeMap.Internal.Impl.balance!_eq_balanceₘ._proof_1_21
Std.Data.DTreeMap.Internal.Balancing
[ "False", "Lean.Omega.Constraint.not_sat'_of_isImpossible", "HMul.hMul", "Int.natCast_add", "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.add_congr", "Std.DTreeMap.Internal.Impl.Balan...
false
AlgebraicGeometry.StructureSheaf.openAlgebra._aux_1
Mathlib.AlgebraicGeometry.StructureSheaf
[ "AlgebraicGeometry.StructureSheaf.Localizations", "Subalgebra.instSetLike", "CategoryTheory.Functor", "CommRing", "instHSMul", "instSMulOfMul", "Opposite", "CommRingCat.carrier", "TopologicalSpace.Opens.instPartialOrder", "CommSemiring.toSemiring", "CommRingCat", "DistribMulAction.toDistribSMu...
false
CategoryTheory.CommGrp.toMon
Mathlib.CategoryTheory.Monoidal.CommGrp_
[ "CategoryTheory.SemiCartesianMonoidalCategory.toMonoidalCategory", "CategoryTheory.CartesianMonoidalCategory", "CategoryTheory.CommGrp", "CategoryTheory.BraidedCategory", "CategoryTheory.Mon", "CategoryTheory.CommMon.toMon", "CategoryTheory.CommGrp.toCommMon", "CategoryTheory.Category", "CategoryThe...
true
_private.Init.Data.SInt.Lemmas.0.ISize.lt_of_le_of_ne._simp_1_3
Init.Data.SInt.Lemmas
[ "ISize.toInt_inj", "Int", "propext", "Eq.symm", "ISize", "Eq", "ISize.toInt" ]
false
_private.Mathlib.Analysis.Real.Hyperreal.0.Hyperreal.tendsto_iff_forall._simp_1_3
Mathlib.Analysis.Real.Hyperreal
[ "Filter.eventually_and", "Filter.Eventually", "And", "propext", "Eq", "Filter" ]
false
Array.isEqvAux.congr_simp
Init.Data.Array.DecidableEq
[ "Eq.rec", "LE.le", "instLENat", "Array", "Nat", "Bool", "Eq.ndrec", "Eq.refl", "Array.isEqvAux", "Eq", "Array.size" ]
true
Ideal.Quotient.stabilizerQuotientInertiaEquiv
Mathlib.RingTheory.Invariant.Basic
[ "Ideal.Quotient.commSemiring", "NonAssocSemiring.toAddCommMonoidWithOne", "Submodule.instAddCommMonoidWithOne", "Ideal.Quotient.algebraOfLiesOver", "CommRing", "QuotientGroup.liftEquiv", "Subgroup.subgroupOf", "Semiring.toModule", "Monoid.toMulOneClass", "CommSemiring.toSemiring", "Ideal.Quotien...
true
TopologicalSpace.Opens.mem_map
Mathlib.Topology.Category.TopCat.Opens
[ "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "TopologicalSpace.Opens.instPartialOrder", "TopCat.instCategory", "ContinuousMap", "Iff.rfl", "PartialOrder.toPreorder", "TopologicalSpace.Opens", "Membership.mem", "Preorder.smallCategory", "TopologicalSpace.Opens.instSetLike", "TopCat.s...
true
LieSubmodule.iInf_toSubmodule
Mathlib.Algebra.Lie.Submodule
[ "LieSubmodule.instSetLike", "Eq.mpr", "Submodule", "CommRing", "iInf", "congrArg", "CommSemiring.toSemiring", "AddCommGroup.toAddCommMonoid", "LieSubmodule.sInf_toSubmodule", "LieSubmodule.instInfSet", "setOf", "LieSubmodule.toSubmodule", "LieSubmodule", "exists_exists_eq_and._simp_1", "...
true
_private.Lean.Elab.DocString.Builtin.Postponed.0.Lean.Doc.checkBlockPostponed._unsafe_rec
Lean.Elab.DocString.Builtin.Postponed
[ "Pure.pure", "Lean.instMonadEnvOfMonadLift", "Lean.MessageData", "Lean.MonadError.mk", "Unit.unit", "Lean.instMonadExceptOfExceptionCoreM", "Lean.Elab.Term.instMonadMacroAdapterTermElabM", "Lean.Environment.header", "StateRefT'.instAlternativeOfMonad", "instForInOfForIn'", "Lean.Elab.Term.instMo...
false
_private.Lean.Elab.Match.0.Lean.Elab.Term.ToDepElimPattern.normalize.processInaccessible
Lean.Elab.Match
[ "Inhabited.default", "Lean.Elab.Term.ToDepElimPattern.Context", "instInhabitedOfMonad", "Lean.Elab.Term.instMonadTermElabM", "Lean.Elab.Term.ToDepElimPattern.M", "Lean.Expr", "IO.RealWorld", "StateRefT'", "StateRefT'.instMonad", "Lean.Elab.Term.TermElabM", "Inhabited", "instInhabitedReaderT", ...
true
tsupport_smul_subset_right
Mathlib.Topology.Algebra.Support
[ "instHSMul", "SMulZeroClass", "Function.support_smul_subset_right", "tsupport", "closure_mono", "HasSubset.Subset", "TopologicalSpace", "Function.support", "HSMul.hSMul", "SMulZeroClass.toSMul", "Set.instHasSubset", "Zero", "Set" ]
true
NonemptyInterval.coe_subset_coe
Mathlib.Order.Interval.Basic
[ "NonemptyInterval.instPreorder", "NonemptyInterval.coeHom", "PartialOrder.toPreorder", "Preorder.toLE", "NonemptyInterval.le", "PartialOrder", "HasSubset.Subset", "LE.le", "NonemptyInterval.setLike", "CompleteLattice.toCompleteSemilatticeInf", "CompleteSemilatticeInf.toPartialOrder", "Iff", ...
true
_private.Lean.Elab.BuiltinDo.MatchExpr.0.Lean.Elab.Do.elabDoMatchExpr.elabDoMatchExprNoMeta.elabMatch._unary.eq_def
Lean.Elab.BuiltinDo.MatchExpr
[ "Pure.pure", "Lean.TSyntax", "Lean.MessageData", "Eq.mpr", "Lean.instMonadExceptOfExceptionCoreM", "Lean.MonadRef.mkInfoFromRefPos", "Lean.Elab.Term.instMonadMacroAdapterTermElabM", "Lean.Syntax.missing", "instSubsingletonDecidable", "Lean.Elab.Term.elabTerm", "Lean.Elab.Do.getExprPatternVarsEx"...
false
_private.Mathlib.Order.KonigLemma.0.exists_seq_forall_proj_of_forall_finite.match_1_17
Mathlib.Order.KonigLemma
[ "Nat", "Sigma.mk", "Sigma.casesOn", "Sigma" ]
false
Std.TreeMap.Raw.maxKeyD_eq_fallback
Std.Data.TreeMap.Raw.Lemmas
[ "Std.TreeMap.Raw.WF.out", "Ordering", "Std.DTreeMap.Raw.maxKeyD_eq_fallback", "Std.TransCmp", "Std.TreeMap.Raw.WF", "Std.TreeMap.Raw.inner", "Std.TreeMap.Raw.maxKeyD", "Std.TreeMap.Raw", "Bool.true", "Std.TreeMap.Raw.isEmpty", "Bool", "Eq" ]
true
_private.Init.Data.String.Pattern.String.0.String.Slice.Pattern.ForwardSliceSearcher.buildTable.computeDistance._unary._proof_1
Init.Data.String.Pattern.String
[ "Eq.mpr", "String.instLTRaw", "congrArg", "String.Slice.byteIdx_rawEndPos", "String.Slice.rawEndPos", "String.Slice", "id", "String.Slice.utf8ByteSize", "LE.le", "instLENat", "String.Pos.Raw", "Array", "_private.Init.Data.String.Pattern.String.0.String.Slice.Pattern.ForwardSliceSearcher.buil...
false
Lean.Server.instToJsonGoToKind
Lean.Server.GoTo
[ "Lean.Server.GoToKind", "Lean.ToJson.mk", "Lean.ToJson", "Lean.Server.instToJsonGoToKind.toJson" ]
true
Array.mapFinIdx_push
Init.Data.Array.MapIdx
[ "Array.instAppend", "List.mapFinIdx_cons", "Array.push", "Array.mapFinIdx_append._proof_2", "congrArg", "Eq.rec", "List.mapFinIdx", "instOfNatNat", "Array.mapFinIdx_append", "Array.mapFinIdx_push._proof_2", "List.toArray", "List.cons", "Array.mapFinIdx_append._proof_4", "Array", "List.ma...
true
Classical.propDecidable.match_1
Init.Classical
[ "Or.casesOn", "Or.inl", "Or", "Not", "Or.inr" ]
false
_private.Init.Data.Vector.Lemmas.0.Vector.mapM.go.eq_def
Init.Data.Vector.Lemmas
[ "Pure.pure", "Vector.push", "Vector", "Monad.toApplicative", "Vector.instGetElemNatLt", "_private.Init.Data.Vector.Basic.0.Vector.mapM.go", "instOfNatNat", "LE.le", "instLENat", "Applicative.toPure", "dite", "GetElem.getElem", "instHAdd", "HAdd.hAdd", "Nat", "LT.lt", "_private.Init.D...
true
Preorder.continuous_restrictLe
Mathlib.Topology.PreorderRestrict
[ "Continuous", "Pi.topologicalSpace", "Membership.mem", "Set.Elem", "TopologicalSpace", "Pi.continuous_restrict", "Preorder.restrictLe", "Set.Iic", "Subtype.val", "Set.instMembership", "Preorder", "Set" ]
true
_private.Mathlib.NumberTheory.Divisors.0.Nat.divisorsAntidiagonal_eq_prod_filter_of_le._proof_1_9
Mathlib.NumberTheory.Divisors
[ "Int.Linear.not_eq_norm_expr", "Lean.RArray.leaf", "False", "Nat.instMulZeroClass", "Int.Nonneg.toPoly", "Preorder.toLT", "HMul.hMul", "congrArg", "Int.Linear.le_unsat", "Classical.byContradiction", "Nat.not_le_eq", "Int.Nonneg.mul", "Lean.Grind.Nat.lt_eq", "Lean.RArray.branch", "Int.Lin...
false
Lean.Meta.Grind.CongrTheoremCacheKey.mk.inj
Lean.Meta.Tactic.Grind.Types
[ "Lean.Meta.Grind.CongrTheoremCacheKey.mk", "Lean.Meta.Grind.CongrTheoremCacheKey", "Lean.Expr", "Lean.Meta.Grind.CongrTheoremCacheKey.mk.noConfusion", "And", "Nat", "And.intro", "Eq" ]
true
_private.Lean.Elab.Structure.0.Lean.Elab.Command.Structure.collectUsedFVars._sparseCasesOn_1
Lean.Elab.Structure
[ "Lean.Elab.Command.Structure.StructFieldDefault.rec", "Nat.ne_of_beq_eq_false", "Lean.Elab.Command.Structure.StructFieldDefault.autoParam", "Nat.shiftRight", "Lean.Expr", "Nat.hasNotBit", "instOfNatNat", "Nat.land", "Nat", "Bool", "Eq.refl", "Lean.Elab.Command.Structure.StructFieldDefault.optP...
false
_private.Lean.Meta.SynthInstance.0.Lean.Meta.preprocess.norm.match_1
Lean.Meta.SynthInstance
[ "Lean.Expr", "Nat.hasNotBit", "_private.Lean.Meta.SynthInstance.0.Lean.Meta.preprocess.norm._sparseCasesOn_1", "Lean.Expr.app", "Lean.Expr.ctorIdx" ]
false
Polynomial.coeff_X_mul_zero
Mathlib.Algebra.Polynomial.Coeff
[ "HMul.hMul", "congrArg", "MulZeroClass.zero_mul", "instOfNatNat", "Polynomial.coeff_X_zero", "Polynomial", "Polynomial.coeff", "instDistribOfSemiring", "Distrib.toMul", "Nat", "True", "eq_self", "of_eq_true", "Semiring", "Zero.toOfNat0", "congrFun'", "Polynomial.instMul", "Polynomi...
true
Subgroup.val_finsetProd
Mathlib.Algebra.Group.Subgroup.Finite
[ "SubmonoidClass.coe_finsetProd", "Subgroup.instSubgroupClass", "Finset", "Membership.mem", "Subtype", "Subgroup", "CommGroup", "Subgroup.toCommGroup", "SubgroupClass.toSubmonoidClass", "Finset.prod", "Group.toDivInvMonoid", "CommGroup.toGroup", "Subtype.val", "Eq", "SetLike.instMembershi...
true
QuadraticMap.associated_isOrtho._simp_1
Mathlib.LinearAlgebra.QuadraticForm.Basic
[ "CommRing", "QuadraticMap.instInvertibleEndOfNat", "CommSemiring.toSemiring", "DistribMulAction.toDistribSMul", "AddCommGroup.toAddCommMonoid", "LinearMap.instSMulCommClass", "LinearMap.BilinMap", "Nat.instAtLeastTwoHAddOfNat", "AddGroupWithOne.toAddMonoidWithOne", "LinearMap.instFunLike", "Quad...
false
disjoint_inf_sdiff
Mathlib.Order.BooleanAlgebra.Basic
[ "Iff.mpr", "inf_inf_sdiff", "OrderBot.toBot", "PartialOrder.toPreorder", "Preorder.toLE", "Disjoint", "SemilatticeInf.toPartialOrder", "DistribLattice.toLattice", "Eq.le", "Bot.bot", "SemilatticeInf.toMin", "LE.le", "GeneralizedBooleanAlgebra.toBot", "SDiff.sdiff", "GeneralizedBooleanAlg...
true
Lean.Meta.Simp.ignoreEquations
Lean.Meta.Tactic.Simp.SimpTheorems
[ "Pure.pure", "Lean.isReducible", "Lean.Core.instMonadEnvCoreM", "Lean.isProjectionFn", "IO.RealWorld", "EIO", "instMonadEIO", "Applicative.toPure", "Lean.Core.State", "Lean.Core.CoreM", "StateRefT'", "StateRefT'.instMonad", "Bool", "Bool.or", "Lean.Name", "Monad.toBind", "Bind.bind",...
true
String.Legacy.Iterator.mk
Init.Data.String.Iterator
[ "String.Legacy.Iterator.mk", "String", "String.Pos.Raw", "String.Legacy.Iterator" ]
true
CentroidHom.centerStarEmbedding._proof_2
Mathlib.Algebra.Star.CentroidHom
[ "Subsemiring.instSetLike", "Subsemiring.toNonAssocSemiring", "Membership.mem", "Subtype", "SubsemiringClass.subtype", "Subsemiring", "CentroidHom.instStarSubtypeMemSubsemiringCenter", "MulHom.toFun", "Subsemiring.instSubsemiringClass", "Distrib.toMul", "StarRing", "NonAssocSemiring.toNonUnital...
false
_private.Init.Data.SInt.Bitwise.0.Int8.xor_left_inj._simp_1_1
Init.Data.SInt.Bitwise
[ "Int8", "BitVec", "Int8.toBitVec_inj", "instOfNatNat", "Nat", "propext", "Int8.toBitVec", "OfNat.ofNat", "Eq.symm", "Eq" ]
false
Option.instDecidableEq._proof_1
Init.Data.Option.Basic
[ "Option.none", "Eq", "rfl", "Option" ]
false
_private.Init.Data.Iterators.Lemmas.Combinators.Monadic.Take.0.Std.IterM.step_take.match_3.eq_2
Init.Data.Iterators.Lemmas.Combinators.Monadic.Take
[ "Std.IterM.step_take.match_3", "instOfNatNat", "Unit", "Nat", "Eq.refl", "OfNat.ofNat", "Nat.succ", "Eq" ]
true
OpenPartialHomeomorph.isManifold_singleton
Mathlib.Geometry.Manifold.IsManifold.Basic
[ "instClosedUnderRestrictionContDiffGroupoid", "NormedSpace", "contDiffGroupoid", "ChartedSpace.mk", "Set.univ", "Set.instSingletonSet", "id", "IsManifold", "OpenPartialHomeomorph.singletonChartedSpace._proof_1", "IsManifold.mk'", "TopologicalSpace", "ModelWithCorners", "ENat", "OpenPartial...
true
_private.Std.Data.DTreeMap.Internal.Lemmas.0.Std.DTreeMap.Internal.Impl.Const.getD_erase_self._simp_1_2
Std.Data.DTreeMap.Internal.Lemmas
[ "Ord", "beqOfOrd", "Ordering", "Std.DTreeMap.Internal.Impl.compare_ne_iff_beq_eq_false", "Ordering.eq", "Ne", "Ord.compare", "BEq.beq", "propext", "Bool", "Bool.false", "Eq" ]
false
GroupTopology.instCompleteLattice._proof_3
Mathlib.Topology.Algebra.Group.GroupTopology
[ "Lattice.toSemilatticeSup", "CompleteLattice.toLattice", "PartialOrder.toPreorder", "Group", "Preorder.toLE", "LE.le", "SemilatticeSup.sup_le", "SemilatticeSup.toPartialOrder", "GroupTopology", "GroupTopology.instCompleteSemilatticeInf", "SemilatticeSup.sup", "completeLatticeOfCompleteSemilatt...
false
Subalgebra.algebraicClosure_eq_integralClosure
Mathlib.RingTheory.Algebraic.Integral
[ "Subalgebra.instSetLike", "CommRing", "CommSemiring.toSemiring", "Algebra", "Field.toSemifield", "Field.toCommRing", "instIsDomain", "CommRing.toCommSemiring", "integralClosure", "SetLike.ext", "Semifield.toCommSemiring", "CommRing.toRing", "Subalgebra", "Eq", "Field", "isAlgebraic_iff...
true
Lean.Doc.output
Lean.Elab.DocString.Builtin
[ "Pure.pure", "Lean.instMonadEnvOfMonadLift", "Lean.Meta.Hint.DiffGranularity.word", "Lean.Doc.Context", "Lean.MessageData", "Unit.unit", "Lean.NameMap", "bne", "Lean.TSyntax.getId", "Lean.unresolveNameGlobalAvoidingLocals", "Lean.TSyntax.getString", "Lean.Name.toString", "Lean.Meta.instMonad...
true
_private.Mathlib.MeasureTheory.VectorMeasure.Decomposition.Hahn.0.MeasureTheory.SignedMeasure.existsNatOneDivLTMeasure_of_not_negative
Mathlib.MeasureTheory.VectorMeasure.Decomposition.Hahn
[ "exists_nat_one_div_lt", "NonAssocSemiring.toAddCommMonoidWithOne", "Real.partialOrder", "Real", "Preorder.toLT", "instHDiv", "Real.instArchimedean", "GroupWithZero.toDivInvMonoid", "MeasurableSet", "_private.Mathlib.MeasureTheory.VectorMeasure.Decomposition.Hahn.0.MeasureTheory.SignedMeasure.exis...
true
IO.FS.Handle.putStrLn
Init.System.IO
[ "IO.FS.Handle.putStr", "String", "IO", "String.push", "Unit", "IO.FS.Handle", "Char.ofNat" ]
true
Std.HashMap.getElem!_filterMap
Std.Data.HashMap.Lemmas
[ "Iff.mpr", "Std.HashMap.getKey", "Std.DHashMap.Const.get!_filterMap", "Option.some", "Membership.mem", "Option.get!", "Std.HashMap", "LawfulHashable", "Bool.true", "EquivBEq", "Std.HashMap.mem_iff_isSome_getElem?", "Std.HashMap.filterMap", "Option.isSome_of_eq_some", "Bool", "Option.pbin...
true
CategoryTheory.ShortComplex.LeftHomologyMapData.quasiIso_iff
Mathlib.Algebra.Homology.ShortComplex.QuasiIso
[ "CategoryTheory.ShortComplex.QuasiIso", "Eq.mpr", "CategoryTheory.Limits.HasZeroMorphisms", "CategoryTheory.ShortComplex.LeftHomologyMapData", "CategoryTheory.IsIso", "CategoryTheory.ShortComplex.LeftHomologyData", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "CategoryTheory.IsIso.of_isIs...
true
Mathlib.Tactic.DeprecateTo.mkDeprecationStx
Mathlib.Tactic.DeprecateTo
[ "Pure.pure", "Lean.Syntax.node", "Lean.TSyntax", "Lean.mkNode", "Lean.MonadRef.mkInfoFromRefPos", "Std.Time.PlainDate", "ReaderT", "String", "Lean.SourceInfo", "Std.Time.ZonedDateTime.now", "Lean.Syntax.node5", "Std.Time.PlainDate.instToString", "Array.mkArray0", "Lean.Syntax.atom", "Str...
true
ClassGroup.mulEquiv_symm_apply
Mathlib.RingTheory.ClassGroup
[ "Iff.mpr", "IsDomain", "MonoidHom.range", "FractionRing.field", "CommRing", "MulEquiv.instEquivLike", "FractionalIdeal.instAdd", "OreLocalization.instAlgebra", "Subgroup.map", "instCommGroupClassGroup", "Monoid.toMulOneClass", "CommSemiring.toSemiring", "RingEquiv.instEquivLike", "MulEquiv...
true
Pell.exists_iff_not_isSquare
Mathlib.NumberTheory.Pell
[ "Int.instCommMonoid", "NegZeroClass.toNeg", "False", "Int.instIsStrictOrderedRing", "Preorder.toLT", "Int.eq_of_mul_eq_one", "HMul.hMul", "instConditionallyCompleteLinearOrder", "eq_false", "MulZeroClass.toMul", "IsStrictOrderedRing.toMulPosStrictMono", "Monoid.toMulOneClass", "AddGroupWithO...
true
Std.Time.ZonedDateTime._sizeOf_1
Std.Time.Zoned.ZonedDateTime
[ "Std.Time.TimeZone._sizeOf_inst", "Std.Time.PlainDateTime._sizeOf_inst", "instOfNatNat", "Thunk._sizeOf_inst", "instHAdd", "Std.Time.ZonedDateTime.rec", "HAdd.hAdd", "Std.Time.TimeZone", "Nat", "SizeOf.sizeOf", "Std.Time.Timestamp", "instAddNat", "Std.Time.Timestamp._sizeOf_inst", "Std.Tim...
false
Subgroup.FG.pi
Mathlib.GroupTheory.Finiteness
[ "Eq.mpr", "Set.univ", "Finite", "Group", "Eq.mp", "id", "DivInvMonoid.toMonoid", "Pi.group", "Subgroup", "Group.toDivInvMonoid", "Submonoid.FG.pi", "Subgroup.FG", "_private.Mathlib.GroupTheory.Finiteness.0.Subgroup.FG.pi._simp_1_1", "Submonoid.FG", "Subgroup.pi", "Eq", "Subgroup.toSu...
true
AddSubgroup.equivOp
Mathlib.Algebra.Group.Subgroup.MulOpposite
[ "AddSubgroup.equivOp._proof_1", "Membership.mem", "Equiv.subtypeEquiv", "AddOpposite", "Equiv", "Subtype", "AddOpposite.opEquiv", "AddSubgroup", "AddSubgroup.op", "AddGroup", "AddOpposite.instAddGroup", "AddSubgroup.instSetLike", "SetLike.instMembership" ]
true
CategoryTheory.Bicategory.prod_Hom
Mathlib.CategoryTheory.Bicategory.Product
[ "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "CategoryTheory.Bicategory.toCategoryStruct", "Prod.fst", "CategoryTheory.Bicategory", "Eq.refl", "CategoryTheory.Bicategory.prod", "Prod", "Eq", "Prod.snd" ]
true
SkewMonoidAlgebra.support_single_mul_subset
Mathlib.Algebra.SkewMonoidAlgebra.Support
[ "Monoid", "Eq.mpr", "NonAssocSemiring.toAddCommMonoidWithOne", "HMul.hMul", "Finset.instIsTransSubset", "Monoid.toMulOneClass", "congrArg", "DistribMulAction.toDistribSMul", "Finset", "AddMonoid.toAddZeroClass", "Finset.instReflSubset", "SkewMonoidAlgebra.instMul", "AddZeroClass.toAddZero", ...
true
Std.HashMap.Raw.get!_diff
Std.Data.HashMap.RawLemmas
[ "Inhabited.default", "Std.HashMap.Raw.instSDiffOfBEqOfHashable", "Std.HashMap.Raw.WF.out", "Membership.mem", "Std.HashMap.Raw.instDecidableMem", "Std.HashMap.Raw.get!", "Std.HashMap.Raw.WF", "LawfulHashable", "Std.HashMap.Raw", "SDiff.sdiff", "EquivBEq", "Inhabited", "Std.HashMap.Raw.inner",...
true
_private.Mathlib.Topology.Algebra.InfiniteSum.ConditionalInt.0.SummationFilter.symmetricIcc_eq_symmetricIoo_int._simp_1_5
Mathlib.Topology.Algebra.InfiniteSum.ConditionalInt
[ "Membership.mem", "Set.preimage", "propext", "Eq", "Set.instMembership", "Set.mem_preimage", "Set" ]
false
Std.Tactic.BVDecide.LRAT.Internal.DefaultFormula.size_insertUnit
Std.Tactic.BVDecide.LRAT.Internal.Formula.RupAddResult
[ "Eq.mpr", "Std.Tactic.BVDecide.LRAT.Internal.Assignment.hasAssignment", "bne", "Std.Tactic.BVDecide.LRAT.Internal.DefaultFormula.insertUnit", "Std.Tactic.BVDecide.LRAT.Internal.Assignment.addAssignment", "Array.push", "congrArg", "Std.Tactic.BVDecide.LRAT.Internal.Assignment.unassigned", "Std.Tactic...
true
InnerProductSpace.HarmonicOnNhd.continuousOn
Mathlib.Analysis.InnerProductSpace.Harmonic.Basic
[ "ContDiffAt", "InnerProductSpace.toNormedSpace", "Real", "Laplacian.laplacian", "NormedSpace", "InnerProductSpace.instLaplacian", "ENat.instNatCast", "Real.denselyNormedField", "Real.instRCLike", "NormedSpace.toModule", "ContinuousAt.continuousWithinAt", "PseudoMetricSpace.toUniformSpace", "...
true
PolynomialModule.smul_single_apply
Mathlib.Algebra.Polynomial.Module.Basic
[ "Finsupp.instFunLike", "Eq.mpr", "PolynomialModule.add_apply", "CommRing", "instHSMul", "congrArg", "CommSemiring.toSemiring", "DistribMulAction.toDistribSMul", "AddCommGroup.toAddCommMonoid", "AddMonoid.toAddZeroClass", "_private.Mathlib.Algebra.Polynomial.Module.Basic.0.PolynomialModule.smul_s...
true
ProbabilityTheory.Kernel.iIndepFun.indepFun_add_left₀
Mathlib.Probability.Independence.Kernel.IndepFun
[ "MeasureTheory.Measure", "AEMeasurable", "congrArg", "measurable_id", "CompTriple.instId_comp", "ProbabilityTheory.Kernel.iIndepFun.indepFun_prodMk₀", "CompTriple.instIsIdId", "Measurable.add", "Function.comp", "Eq.mp", "ProbabilityTheory.Kernel.instFunLike", "id", "Prod.mk", "Ne", "Meas...
true
CompleteDistribLattice.MinimalAxioms.inf_sSup_le_iSup_inf
Mathlib.Order.CompleteBooleanAlgebra
[ "Lattice.toSemilatticeSup", "CompleteLattice.toLattice", "iSup", "CompleteDistribLattice.MinimalAxioms", "PartialOrder.toPreorder", "Preorder.toLE", "Membership.mem", "SemilatticeInf.toMin", "LE.le", "CompleteLattice.toSupSet", "SemilatticeInf.mk", "Lattice.inf_le_left", "Lattice.le_inf", ...
true
_private.Mathlib.Combinatorics.SimpleGraph.Triangle.Counting.0.SimpleGraph.card_badVertices_le
Mathlib.Combinatorics.SimpleGraph.Triangle.Counting
[ "SimpleGraph.edgeDensity_le_one", "Rat.instOfNat", "Real.instIsOrderedRing", "Mathlib.Tactic.Ring.Common.neg_zero", "Eq.mpr", "NegZeroClass.toNeg", "NonAssocSemiring.toAddCommMonoidWithOne", "Mathlib.Tactic.Ring.Common.neg_mul", "False", "Real.partialOrder", "Real.instLE", "Real", "Mathlib.M...
true
_private.Init.Grind.ToIntLemmas.0.Lean.Grind.IntInterval.lo?.match_1.eq_1
Init.Grind.ToIntLemmas
[ "Int", "Lean.Grind.IntInterval.co", "Lean.Grind.IntInterval.ii", "Lean.Grind.IntInterval.ci", "Lean.Grind.IntInterval.lo?.match_1", "Unit", "Lean.Grind.IntInterval.io", "Eq.refl", "Eq", "Lean.Grind.IntInterval" ]
true
AlgebraicGeometry.instGeometricallyReducedSndScheme
Mathlib.AlgebraicGeometry.Geometrically.Reduced
[ "CategoryTheory.Limits.pullback", "CategoryTheory.MorphismProperty.instIsStableUnderBaseChangeAlongOfIsStableUnderBaseChange", "AlgebraicGeometry.Scheme", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "CategoryTheory.Limits.pullback.snd", "inferInstance", "AlgebraicGeometry.GeometricallyRedu...
true
CongruenceSubgroup.strictWidthInfty_Gamma
Mathlib.NumberTheory.ModularForms.Cusps
[ "IsRightCancelAdd.addRightStrictMono_of_addRightMono", "AddGroup.toSubtractionMonoid", "NegZeroClass.toNeg", "Nat.instMulZeroClass", "CongruenceSubgroup.instFiniteIndexGamma", "Real.partialOrder", "Real", "Matrix.SpecialLinearGroup", "AddLeftCancelSemigroup.toIsLeftCancelAdd", "Subgroup.map", "R...
true
FinVec.exists_iff._f
Mathlib.Data.Fin.Tuple.Reflection
[ "Eq.mpr", "_private.Mathlib.Data.Fin.Tuple.Reflection.0.FinVec.exists_iff._simp_1_6", "finZeroElim", "congrArg", "Iff.rfl", "Fin.cons", "Exists", "id", "instOfNatNat", "Nat.below", "iff_self", "funext", "instHAdd", "Iff", "_private.Mathlib.Data.Fin.Tuple.Reflection.0.FinVec.exists_iff._s...
false
Lean.Omega.IntList.dot_mod_gcd_left
Init.Omega.IntList
[ "Nat.gcd", "Iff.mpr", "Eq.mpr", "Lean.Omega.IntList.gcd", "Dvd.dvd", "HMul.hMul", "Int.ofNat_dvd", "congrArg", "id", "instHMod", "List.rec", "Int", "Nat.cast", "Lean.Omega.IntList.dot_nil_right", "Int.emod_self", "List.cons", "Int.instDvd", "Lean.Omega.IntList.dot_cons_cons", "In...
true
Set.Ico_disjoint_Ico._simp_1
Mathlib.Order.Interval.Set.Disjoint
[ "Lattice.toSemilatticeSup", "CompleteBooleanAlgebra.toCompleteDistribLattice", "LinearOrder", "PartialOrder.toPreorder", "Preorder.toLE", "Disjoint", "SemilatticeInf.toPartialOrder", "SemilatticeSup.toMax", "DistribLattice.toLattice", "SemilatticeInf.toMin", "LE.le", "Set.Ico", "CompleteLatt...
false
_private.Mathlib.Algebra.Homology.Factorizations.CM5a.0.CochainComplex.Plus.modelCategoryQuillen.cm5a_cof.step₁.mid
Mathlib.Algebra.Homology.Factorizations.CM5a
[ "CategoryTheory.Abelian.toPreadditive", "_private.Mathlib.Algebra.Homology.Factorizations.CM5a.0.CochainComplex.Plus.modelCategoryQuillen.cm5a_cof.step₁.mid._proof_1", "HomologicalComplex.instCategory", "AddGroupWithOne.toAddMonoidWithOne", "AddRightCancelSemigroup.toAddSemigroup", "AddCancelMonoid.toAddR...
true
Multiset.sum.eq_1
Mathlib.Algebra.BigOperators.Group.Multiset.Defs
[ "Multiset.sum", "Multiset.foldr", "AddMonoid.toAddZeroClass", "AddZeroClass.toAddZero", "Multiset", "AddCommMonoid", "AddZero.toZero", "instHAdd", "HAdd.hAdd", "AddZero.toAdd", "Zero.toOfNat0", "Eq.refl", "Multiset.sum._proof_1", "AddCommMonoid.toAddMonoid", "OfNat.ofNat", "Eq" ]
true
_private.Mathlib.CategoryTheory.FiberedCategory.Cartesian.0.CategoryTheory.Functor.IsStronglyCartesian.comp.match_1
Mathlib.CategoryTheory.FiberedCategory.Cartesian
[ "CategoryTheory.Functor", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "CategoryTheory.Functor.IsHomLift", "And.casesOn", "And", "And.intro", "CategoryTheory.CategoryStruct.comp", "CategoryTheory.Category.toCategoryStruct", "Eq", "CategoryTheory.Functor.obj", "CategoryTheory.Categor...
false
Rep.coinvariantsFunctor_map_hom
Mathlib.RepresentationTheory.Coinvariants
[ "Monoid", "Rep.coinvariantsFunctor", "Rep.V", "CommRing", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "ModuleCat", "CommSemiring.toSemiring", "AddCommGroup.toAddCommMonoid", "Rep.hV2", "Rep.instCategory", "Rep.hV1", "Representation.Coinvariants.map", "LinearMap", "CategoryThe...
true
_private.Init.Data.Iterators.Producers.Monadic.List.0.Std.Iterators.Types.ListIterator.instIterator.match_1.eq_3
Init.Data.Iterators.Producers.Monadic.List
[ "Unit.unit", "Std.IterStep", "Std.Iterators.Types.ListIterator", "Std.IterStep.skip", "Std.Iterators.Types.ListIterator.instIterator.match_1", "Unit", "Std.IterStep.yield", "Std.IterStep.done", "Eq.refl", "Std.IterM", "Eq" ]
true
CategoryTheory.Functor.Final.preservesColimitsOfShape_of_final
Mathlib.CategoryTheory.Limits.Final
[ "CategoryTheory.Limits.PreservesColimitsOfShape.preservesColimit", "CategoryTheory.Functor", "CategoryTheory.Functor.comp", "CategoryTheory.Limits.PreservesColimitsOfShape", "CategoryTheory.Limits.PreservesColimitsOfShape.mk", "CategoryTheory.Functor.Final", "CategoryTheory.Functor.Final.preservesColimi...
true
Tactic.ComputeAsymptotics.UnitMonomial.mul_length
Mathlib.Tactic.ComputeAsymptotics.Multiseries.Monomial.Basic
[ "List.zipWith", "Real", "List.length_zipWith", "congrArg", "min_self", "Real.instAdd", "instHAdd", "Tactic.ComputeAsymptotics.UnitMonomial.mul", "Tactic.ComputeAsymptotics.UnitMonomial", "HAdd.hAdd", "Nat", "congr", "True", "eq_self", "of_eq_true", "congrFun'", "Eq", "List.length",...
true
DFinsupp.support_update
Mathlib.Data.DFinsupp.Defs
[ "Eq.mpr", "congrArg", "Finset", "Iff.rfl", "Decidable", "Finset.ext", "DFinsupp.support_erase", "Membership.mem", "DFinsupp.erase", "DFinsupp.instDFunLike", "id", "Insert.insert", "Ne", "DFinsupp.support", "DFinsupp.support_update_ne_zero", "if_pos", "Finset.instInsert", "dite", ...
true
AlgebraicGeometry.IsIntegral.mk._flat_ctor
Mathlib.AlgebraicGeometry.Properties
[ "AlgebraicGeometry.IsIntegral", "AlgebraicGeometry.IsIntegral.nonempty._autoParam", "AlgebraicGeometry.IsIntegral.mk", "IsDomain", "AlgebraicGeometry.IsIntegral.component_integral._autoParam", "AlgebraicGeometry.Scheme", "Opposite", "CommRingCat.carrier", "AlgebraicGeometry.PresheafedSpace.carrier",...
false
DualNumber.lift._proof_6
Mathlib.Algebra.DualNumber
[ "Eq.mpr", "NonAssocSemiring.toAddCommMonoidWithOne", "MulOne.toOne", "instHSMul", "Semiring.toModule", "instSMulOfMul", "HMul.hMul", "congrArg", "CommSemiring.toSemiring", "DistribMulAction.toDistribSMul", "AlgHom", "AlgHom.funLike", "AddMonoid.toAddZeroClass", "MulOpposite", "LinearMap....
false
_private.Mathlib.Data.Set.Insert.0.Set.subset_singleton_iff_eq._proof_1_1
Mathlib.Data.Set.Insert
[ "Lean.Grind.of_eq_eq_true", "Lean.Grind.eq_false_of_not_eq_true", "Set.ext", "False", "Lean.Grind.and_eq_of_eq_true_right", "Lean.Grind.not_not", "Lean.Grind.not_and", "eq_false", "Lean.Grind.iff_eq", "Set.subset_def", "congrArg", "Lean.Grind.not_or", "False.elim", "Classical.byContradicti...
false
Ordnode.Any.decidable._proof_1
Mathlib.Data.Ordmap.Ordnode
[ "id", "Ordnode.Any", "Ordnode.nil" ]
false
Array.Matcher.Iterator.mk.sizeOf_spec
Batteries.Data.Array.Match
[ "Array.Matcher.table", "Array.Matcher.Iterator._sizeOf_inst", "instOfNatNat", "Std.Iterator", "instHAdd", "HAdd.hAdd", "Nat", "SizeOf.sizeOf", "Array.Matcher", "instAddNat", "Std.IterM._sizeOf_inst", "Array.Matcher.Iterator", "Eq.refl", "Std.IterM", "SizeOf", "Fin._sizeOf_inst", "Arr...
true
ModuleCon.instAddGroupQuotient._proof_10
Mathlib.Algebra.Module.Congruence.Defs
[ "AddMonoid.toAddSemigroup", "ModuleCon.instAddGroupQuotient._aux_6", "SMul", "Neg.mk", "Int", "Nat.cast", "autoParam", "AddCon.addGroup._proof_4", "AddSemigroup.toAdd", "AddGroup", "AddGroup.toSubNegMonoid", "Nat", "ModuleCon.instAddGroupQuotient._aux_1", "instNatCastInt", "Int.negSucc",...
false
Ordinal.iSup_pow
Mathlib.SetTheory.Ordinal.Exponential
[ "Ordinal.iSup_pow_natCast", "Preorder.toLT", "Ordinal.monoid", "Ordinal.omega0", "Ordinal.partialOrder", "iSup", "PartialOrder.toPreorder", "ConditionallyCompleteLinearOrder.toConditionallyCompleteLattice", "Ordinal.instConditionallyCompleteLinearOrderBot", "Monoid.toPow", "HPow.hPow", "Nat", ...
true
Int.max_self
Init.Data.Int.Order
[ "Int.instMax", "Int.max_eq_right", "Int", "Max.max", "Int.le_refl", "Eq" ]
true
AlgebraicGeometry.AffineTargetMorphismProperty.diagonal_respectsIso
Mathlib.AlgebraicGeometry.Morphisms.Constructors
[ "Eq.mpr", "CategoryTheory.Category.assoc", "CategoryTheory.Limits.pullback", "AlgebraicGeometry.Scheme", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "AlgebraicGeometry.IsAffine.of_isIso", "congrArg", "CategoryTheory.Limits.pullback.mapDesc", "AlgebraicGeometry.IsOpenImmersion.comp", ...
true
Units.mulRight.eq_1
Mathlib.Algebra.Group.Units.Equiv
[ "Units.mulRight", "Monoid", "Units.val", "HMul.hMul", "Monoid.toMulOneClass", "Units", "Equiv.mk", "Units.mul_inv_cancel_right", "MulOne.toMul", "MulOneClass.toMulOne", "Inv.inv", "Equiv.Perm", "Units.inv_mul_cancel_right", "Eq.refl", "Eq", "Units.instInv", "instHMul" ]
true
Ordnode.splitMax'._sunfold
Mathlib.Data.Ordmap.Ordnode
[ "Ordnode", "Ordnode.splitMax'.match_3", "Prod.mk", "Ordnode.balanceL", "Nat", "Ordnode.splitMax'", "Prod", "Ordnode.splitMax'.match_1" ]
false
IsUnifLocDoublingMeasure.one_le_scalingConstantOf._simp_1
Mathlib.MeasureTheory.Measure.Doubling
[ "Real", "MeasureTheory.Measure", "IsUnifLocDoublingMeasure.scalingConstantOf", "PartialOrder.toPreorder", "Preorder.toLE", "NNReal", "LE.le", "MeasurableSpace", "NNReal.instPartialOrder", "PseudoMetricSpace", "True", "eq_true", "IsUnifLocDoublingMeasure", "One.toOfNat1", "IsUnifLocDoubli...
false
_private.Init.Meta.Defs.0.Lean.instQuoteNameMkStr1.match_1
Init.Meta.Defs
[ "Unit.unit", "String", "Option.casesOn", "Option.some", "Option.none", "List", "Unit", "Option" ]
false
directedOn_pair'
Mathlib.Order.Directed
[ "Eq.mpr", "congrArg", "DirectedOn", "Set.instSingletonSet", "id", "Insert.insert", "Std.Refl", "Set.instInsert", "directedOn_pair", "Singleton.singleton", "Eq", "Set.pair_comm", "Set" ]
true
MulArchimedeanClass.forall
Mathlib.Algebra.Order.Archimedean.Class
[ "AntisymmRel.setoid", "Quotient.forall", "IsOrderedMonoid", "LinearOrder", "PartialOrder.toPreorder", "MulArchimedeanClass._proof_1", "SemilatticeInf.toPartialOrder", "DistribLattice.toLattice", "MulArchimedeanOrder.instLE", "LE.le", "CommGroup", "MulArchimedeanClass.mk", "Iff", "CommGroup...
true
_private.Init.Data.Slice.Lemmas.0.Std.Slice.foldlM_toList._simp_1_1
Init.Data.Slice.Lemmas
[ "Std.Iter.foldM", "Std.IteratorLoop", "Std.ToIterator", "Id", "Std.Slice.foldlM", "Std.Iterator", "Std.Slice.Internal.iter", "Eq.symm", "Monad", "Eq", "Std.Slice.Internal.foldlM_iter", "Std.Slice" ]
false
LinearIsometryEquiv.conjStarAlgEquiv_apply
Mathlib.Analysis.InnerProductSpace.Adjoint
[ "ContinuousLinearMap.comp", "InnerProductSpace.toNormedSpace", "NormedCommRing.toSeminormedCommRing", "CompleteSpace", "NormedSpace.toIsBoundedSMul", "LinearIsometryEquiv.symm", "ContinuousLinearMap.instStarId", "UniformContinuousConstSMul.to_continuousConstSMul", "LinearIsometryEquiv.conjStarAlgEqu...
true
CategoryTheory.uliftYoneda
Mathlib.CategoryTheory.Yoneda
[ "CategoryTheory.Functor", "Opposite", "CategoryTheory.Functor.category", "CategoryTheory.Functor.comp", "CategoryTheory.yoneda", "CategoryTheory.uliftFunctor", "CategoryTheory.Functor.whiskeringRight", "CategoryTheory.types", "CategoryTheory.Category.opposite", "CategoryTheory.Functor.obj", "Cat...
true