name
string
module
string
deps
list
allowCompletion
bool
OrderType.inductionOn₂
Mathlib.Order.Types.Defs
[ "LinearOrder", "OrderType.type", "LinOrd.carrier", "LinOrd.str", "LinOrd", "OrderType.instSetoid", "Quotient.inductionOn₂", "OrderType" ]
true
_private.Mathlib.RingTheory.Localization.Algebra.0.IsLocalization.ker_map._simp_1_2
Mathlib.RingTheory.Localization.Algebra
[ "HMul.hMul", "IsLocalization", "CommSemiring.toSemiring", "Algebra", "Membership.mem", "Exists", "Subtype", "MulZeroOneClass.toMulOneClass", "instDistribOfSemiring", "instMulZeroOneClassOfSemiring", "CommSemiring", "IsLocalization.mk'", "Distrib.toMul", "IsLocalization.mk'_eq_zero_iff", ...
false
Submonoid.LocalizationMap.map
Mathlib.GroupTheory.MonoidLocalization.Maps
[ "MonoidHom.instFunLike", "Submonoid.LocalizationMap.lift", "MonoidHom", "Monoid.toMulOneClass", "Membership.mem", "Subtype", "MonoidHom.comp", "Submonoid.LocalizationMap.toMonoidHom", "MulOneClass.toMulOne", "CommMonoid.toMonoid", "Submonoid.LocalizationMap", "Submonoid.instSetLike", "Subtyp...
true
Submodule.finrank_quotient
Mathlib.LinearAlgebra.Dimension.RankNullity
[ "Eq.mpr", "Submodule", "Submodule.Quotient.addCommMonoid", "Submodule.finrank_quotient_add_finrank", "congrArg", "DistribMulAction.toDistribSMul", "AddCommGroup.toAddCommMonoid", "IsScalarTower", "Submodule.addCommMonoid", "Submodule.restrictScalars", "SMul", "AddMonoid.toAddZeroClass", "HSu...
true
BitVec.toNat_mul_toNat_lt
Init.Data.BitVec.Lemmas
[ "instPowNat", "_private.Init.Data.BitVec.Lemmas.0.BitVec.toNat_mul_toNat_lt._proof_1_1", "Eq.mpr", "Nat.pow_add", "HMul.hMul", "congrArg", "_private.Init.Data.BitVec.Lemmas.0.BitVec.toNat_mul_toNat_lt._proof_1_2", "BitVec", "id", "Nat.mul_lt_mul_of_le_of_lt", "instMulNat", "instOfNatNat", "B...
true
Lean.Meta.Grind.Arith.Linear.Case.fvarId
Lean.Meta.Tactic.Grind.Arith.Linear.SearchM
[ "Lean.FVarId", "Lean.Meta.Grind.Arith.Linear.Case" ]
true
Ideal.stabilizerEquiv_symm_apply_smul
Mathlib.RingTheory.Ideal.Pointwise
[ "Eq.mpr", "NonAssocSemiring.toAddCommMonoidWithOne", "Submodule.instAddCommMonoidWithOne", "instHSMul", "MulEquiv.instEquivLike", "Semiring.toModule", "Monoid.toMulOneClass", "congrArg", "DistribMulAction.toDistribSMul", "AddMonoid.toAddZeroClass", "Subgroup.mul", "Group", "Subgroup.instDist...
true
CochainComplex.mappingCone.rotateHomotopyEquiv._proof_7
Mathlib.Algebra.Homology.HomotopyCategory.Pretriangulated
[ "neg_add_rev", "CochainComplex.mappingCone.δ_inl", "CochainComplex.mappingCone.inl_v_descCochain_v_assoc", "AddGroup.toSubtractionMonoid", "CochainComplex.mappingCone.ofHom_desc", "CategoryTheory.Category.assoc", "add_neg_cancel", "NegZeroClass.toNeg", "SubtractionMonoid.toInvolutiveNeg", "Int.ins...
false
Lean.Elab.Term.ElabElim.Context
Lean.Elab.App
[ "Lean.Elab.Term.ElabElim.Context.mk" ]
true
Lean.Elab.Term.Do.ToTerm.reassignToTerm
Lean.Elab.Do.Legacy
[ "Pure.pure", "cond", "Lean.Syntax.node", "Lean.TSyntax", "Lean.MonadRef.mkInfoFromRefPos", "Lean.Quote.quote", "Lean.identKind", "Lean.instQuoteStringStrLitKind", "String", "Lean.SourceInfo", "Lean.Syntax.node5", "Lean.Syntax.isOfKind", "EStateM.instMonad", "Lean.Macro.Exception", "Array...
true
CategoryTheory.Functor.instCommShift₂IntCochainComplexIntMap₂CochainComplex._proof_4
Mathlib.Algebra.Homology.BifunctorShift
[ "CategoryTheory.Functor.map₂CochainComplex", "Units.val", "Int.instAddCommMonoid", "CategoryTheory.Category.assoc", "CategoryTheory.Functor.flip", "CategoryTheory.Functor", "CochainComplex.mapBifunctorShift₁Iso", "Units.instMulAction", "CategoryTheory.CatCenter", "HomologicalComplex.instCategory",...
false
_private.Std.Sat.AIG.CNF.0.Std.Sat.AIG.toCNF.go._unsafe_rec
Std.Sat.AIG.CNF
[ "_private.Std.Sat.AIG.CNF.0.Std.Sat.AIG.toCNF.match_16", "_private.Std.Sat.AIG.CNF.0.Std.Sat.AIG.toCNF.State.IsExtensionBy_trans_right", "Std.Sat.AIG.Decl", "Std.Sat.AIG.Fanin.gate", "_private.Std.Sat.AIG.CNF.0.Std.Sat.AIG.toCNF.State.addGate", "_private.Std.Sat.AIG.CNF.0.Std.Sat.AIG.toCNF.Cache.hmarks", ...
false
_private.Mathlib.Algebra.GroupWithZero.Range.0.MonoidWithZeroHom.valueGroup_eq_range._simp_1_4
Mathlib.Algebra.GroupWithZero.Range
[ "Set.mem_image", "Membership.mem", "Exists", "And", "propext", "Set.image", "Eq", "Set.instMembership", "Set" ]
false
AlgebraicGeometry.IsAffineOpen.isoSpec_hom
Mathlib.AlgebraicGeometry.AffineScheme
[ "AlgebraicGeometry.IsAffineOpen.isoSpec", "AlgebraicGeometry.Spec", "AlgebraicGeometry.Scheme", "Opposite", "AlgebraicGeometry.PresheafedSpace.carrier", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "TopologicalSpace.Opens.instPartialOrder", "CommRingCat", "PartialOrder.toPreorder", "A...
true
CategoryTheory.Comma.mapLeftIso
Mathlib.CategoryTheory.Comma.Basic
[ "CategoryTheory.Functor", "CategoryTheory.Comma.mapLeftIso._proof_2", "CategoryTheory.Functor.category", "CategoryTheory.Equivalence", "CategoryTheory.Functor.comp", "CategoryTheory.Functor.id", "CategoryTheory.CategoryStruct.id", "CategoryTheory.Iso", "CategoryTheory.Comma", "CategoryTheory.Comma...
true
_private.Init.Data.Nat.Control.0.Nat.forM.loop
Init.Data.Nat.Control
[ "Nat.brecOn", "LE.le", "instLENat", "Unit", "Nat", "LT.lt", "instLTNat", "Monad", "_private.Init.Data.Nat.Control.0.Nat.forM.loop._f" ]
true
_private.Mathlib.CategoryTheory.ConnectedComponents.0.CategoryTheory.instIsConnectedComponent._proof_10
Mathlib.CategoryTheory.ConnectedComponents
[ "CategoryTheory.ObjectProperty.FullSubcategory.mk", "of_eq_false", "Lean.Grind.instOrderedRingInt", "Lean.RArray.leaf", "False", "Lean.Grind.nestedProof", "eq_false", "Lean.Grind.CommRing.Expr.var", "Lean.Grind.Order.eq_of_le_of_le_0", "congrArg", "List.length_cons", "Lean.Grind.Order.le_of_eq...
false
TopModuleCat.instIsRightAdjointTopCatForget₂ContinuousLinearMapIdCarrierContinuousMapCarrier
Mathlib.Algebra.Category.ModuleCat.Topology.Basic
[ "TopModuleCat.instCategory", "CategoryTheory.Functor", "TopCat.instCategory", "AddCommGroup.toAddCommMonoid", "ContinuousLinearMap.funLike", "ContinuousMap", "CategoryTheory.Functor.IsRightAdjoint", "TopModuleCat.freeAdj", "TopModuleCat.topologicalSpace", "TopModuleCat.toModuleCat", "Nonempty.in...
true
SheafOfModules.GeneratingSections.map
Mathlib.Algebra.Category.ModuleCat.Sheaf.Generators
[ "CategoryTheory.Limits.PreservesColimitsOfSize", "CategoryTheory.Functor", "SheafOfModules.GeneratingSections.mapFreeHom", "Equiv.instEquivLike", "CategoryTheory.CategoryStruct.toQuiver", "AddCommGrpCat.instCategory", "Quiver.Hom", "CategoryTheory.HasSheafify", "AddMonoid.toAddZeroClass", "RingCat...
true
Complex.UnitDisc
Mathlib.Analysis.Complex.UnitDisc.Basic
[ "NormedCommRing.toSeminormedCommRing", "Complex.instNormedField", "Membership.mem", "NonUnitalRing.toNonUnitalNonAssocRing", "Subtype", "NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring", "Distrib.toMul", "NonUnitalSeminormedCommRing.toNonUnitalSeminormedRing", "Subsemigroup", "NonUnitalNonAssocS...
true
Subgroup.instInfSet
Mathlib.Algebra.Group.Subgroup.Lattice
[ "iInf", "Submonoid.copy", "Monoid.toMulOneClass", "Set.iInter", "Group", "Submonoid.instInfSet", "Membership.mem", "InfSet.mk", "Subgroup.mk", "InfSet", "DivInvMonoid.toMonoid", "Subgroup", "Subgroup.instInfSet._proof_3", "Group.toDivInvMonoid", "SetLike.coe", "Subgroup.instInfSet._pro...
true
CochainComplex.HomComplex.Cochain.rightShift._proof_3
Mathlib.Algebra.Homology.HomotopyCategory.HomComplexShift
[ "IsRightCancelAdd", "AddRightCancelSemigroup.toAddSemigroup", "AddCancelMonoid.toAddRightCancelMonoid", "Int", "AddSemigroup.toAdd", "Int.instAddGroup", "AddRightCancelMonoid.toAddRightCancelSemigroup", "AddGroup.toAddCancelMonoid", "AddRightCancelSemigroup.toIsRightCancelAdd" ]
false
CategoryTheory.Mon.limit_mon_mul
Mathlib.CategoryTheory.Monoidal.Internal.Limits
[ "CategoryTheory.Limits.Cone.π", "CategoryTheory.Functor", "CategoryTheory.Limits.Cone", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "CategoryTheory.MonoidalCategory", "CategoryTheory.Functor.category", "CategoryTheory.Functor.comp", "CategoryTheory.Limits.Cone.pt", "CategoryTheory.NatT...
true
Lean.Meta.Grind.TopSort.State.recOn
Lean.Meta.Tactic.Grind.EqResolution
[ "Lean.Meta.Grind.TopSort.State", "Lean.Meta.Grind.TopSort.State.mk", "Lean.Expr.instBEq", "Std.HashSet", "Lean.Expr", "Array", "Lean.Expr.instHashable", "Lean.Meta.Grind.TopSort.State.rec" ]
false
Finset.compls_subset_compls._simp_1
Mathlib.Data.Finset.Sups
[ "BooleanAlgebra", "Finset", "Finset.compls", "HasSubset.Subset", "Finset.compls_subset_compls", "propext", "Finset.instHasSubset", "Eq" ]
false
cfc_const._auto_1
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
Std.Packages.LinearPreorderOfLEArgs.rec
Init.Data.Order.PackageFactories
[ "Std.Packages.LinearPreorderOfLEArgs.mk", "Std.Packages.LinearPreorderOfLEArgs", "Ord", "LE.le", "Ord.compare", "LE", "Std.Packages.PreorderOfLEArgs.decidableLE", "Bool.true", "DecidableLE", "Iff", "Bool", "Ordering.isGE", "Or", "Ordering.isLE", "Eq", "Std.Packages.PreorderOfLEArgs.le"...
false
Set.EqOn.comp_eq
Mathlib.Data.Set.Function
[ "Set.eqOn_range", "Function.comp", "Set.EqOn", "Iff.mp", "Set.range", "Eq" ]
true
MeasureTheory.Measure.instMeasurableAdd₂
Mathlib.MeasureTheory.Measure.GiryMonad
[ "ENNReal.instAdd", "MeasureTheory.Measure.instMeasurableSpace", "MeasureTheory.Measure", "MeasurableSet", "MeasureTheory.Measure.measurable_coe", "Measurable.comp", "Measurable", "ENNReal.measurableSpace", "Measurable.add", "ENNReal.instContinuousAdd", "id", "ContinuousAdd.measurableMul₂", "...
true
ENNReal.mul_div_cancel_right
Mathlib.Data.ENNReal.Inv
[ "False", "instHDiv", "HMul.hMul", "eq_false", "CommSemiring.toSemiring", "HDiv.hDiv", "Ne", "ENNReal.instCommSemiring", "instDistribOfSemiring", "Distrib.toMul", "implies_congr", "True", "ENNReal", "ENNReal.instDivInvMonoid", "DivInvMonoid.toDiv", "of_eq_true", "Zero.toOfNat0", "Eq...
true
_private.Std.Data.DHashMap.Internal.AssocList.Lemmas.0.Std.DHashMap.Internal.AssocList.getEntryD.eq_def
Std.Data.DHashMap.Internal.AssocList.Lemmas
[ "Eq.mpr", "Std.DHashMap.Internal.AssocList.below", "congrArg", "Std.DHashMap.Internal.AssocList.brecOn.eq", "Std.DHashMap.Internal.AssocList.nil", "_private.Std.Data.DHashMap.Internal.AssocList.Basic.0.Std.DHashMap.Internal.AssocList.toList.match_1", "id", "instDecidableEqBool", "_private.Std.Data.D...
true
Lean.Lsp.DidSaveTextDocumentParams.rec
Lean.Data.Lsp.TextSync
[ "Lean.Lsp.DidSaveTextDocumentParams.mk", "String", "Lean.Lsp.TextDocumentIdentifier", "Lean.Lsp.DidSaveTextDocumentParams", "Option" ]
false
Set.swap_mem_addAntidiagonal
Mathlib.Data.Set.MulAntidiagonal
[ "Set.addAntidiagonal", "congrArg", "AddCommMagma", "Membership.mem", "Set.mem_addAntidiagonal", "and_left_comm", "add_comm", "Prod.fst", "iff_self", "instHAdd", "And", "Iff", "HAdd.hAdd", "congr", "True", "propext", "of_eq_true", "congrFun'", "Prod.swap", "Prod", "Eq", "Set...
true
CategoryTheory.Lax.LaxTrans.homCategory._proof_4
Mathlib.CategoryTheory.Bicategory.Modification.Lax
[ "CategoryTheory.Lax.LaxTrans.Modification.app", "CategoryTheory.Lax.LaxTrans.Modification.id", "CategoryTheory.CategoryStruct.toQuiver", "CategoryTheory.Lax.LaxTrans.Modification.id_app", "Quiver.Hom", "CategoryTheory.Lax.LaxTrans.Hom.as", "congrArg", "CategoryTheory.Lax.LaxTrans.Hom.of", "CategoryT...
false
Polynomial.coeff_comp_degree_mul_degree
Mathlib.Algebra.Polynomial.Eval.Degree
[ "zero_le", "Eq.mpr", "Polynomial.C", "Nat.instCanonicallyOrderedAdd", "RingHom.instRingHomClass", "MulOne.toOne", "Nat.instMulZeroClass", "Preorder.toLT", "Polynomial.le_natDegree_of_mem_supp", "HMul.hMul", "Polynomial.comp.eq_1", "Classical.not_not._simp_1", "IsStrictOrderedRing.toMulPosStr...
true
WeierstrassCurve.valuation_Δ_aux.eq_1
Mathlib.AlgebraicGeometry.EllipticCurve.Reduction
[ "WeierstrassCurve.Δ", "Int.instAddCommMonoid", "IsDomain", "Multiplicative.linearOrder", "CommRing", "CommSemiring.toSemiring", "Int.instLinearOrder", "IsFractionRing", "IsDiscreteValuationRing", "PartialOrder.toPreorder", "Algebra", "Classical.propDecidable", "Preorder.toLE", "Field.toDiv...
true
NonUnitalCommCStarAlgebra.rec
Mathlib.Analysis.CStarAlgebra.Classes
[ "NonUnitalCommRing.toNonUnitalNonAssocCommRing", "CompleteSpace", "instSMulOfMul", "NormedSpace", "NonUnitalNonAssocRing.toMul", "NonUnitalCommCStarAlgebra", "AddCommGroup.toAddCommMonoid", "IsScalarTower", "NormedSpace.toModule", "NonUnitalNonAssocRing.toAddCommGroup", "Complex.instNormedField"...
false
dimH_empty
Mathlib.Topology.MetricSpace.HausdorffDimension
[ "EMetricSpace", "Set.subsingleton_empty", "Set.Subsingleton.dimH_zero", "ENNReal", "Set.instEmptyCollection", "Zero.toOfNat0", "ENNReal.instZero", "EmptyCollection.emptyCollection", "OfNat.ofNat", "Eq", "dimH", "Set" ]
true
AlgHom.liftOfSurjective._proof_4
Mathlib.RingTheory.Ideal.Quotient.Operations
[ "CommRing", "AlgHom.algHomClass", "CommSemiring.toSemiring", "AlgHom", "AlgHom.funLike", "AlgHom.liftOfSurjective._proof_3", "Algebra", "Ideal.IsTwoSided", "RingHom.instIsTwoSidedKer", "CommRing.toCommSemiring", "AlgHomClass.toRingHomClass", "CommRing.toRing", "Ring.toSemiring", "RingHom.k...
false
_private.Mathlib.RingTheory.HahnSeries.Multiplication.0.HahnModule.coeff_smul_right._simp_1_2
Mathlib.RingTheory.HahnSeries.Multiplication
[ "Finset", "Finset.instSDiff", "Membership.mem", "Finset.mem_sdiff", "SDiff.sdiff", "And", "Finset.instSetLike", "propext", "Eq", "Not", "SetLike.instMembership", "DecidableEq" ]
false
AlgebraicGeometry.Scheme.Modules.restrictStalkNatIso
Mathlib.AlgebraicGeometry.Modules.Sheaf
[ "CategoryTheory.Functor.op", "CategoryTheory.Functor", "AlgebraicGeometry.SheafedSpace.instTopologicalSpaceCarrierCarrier", "AlgebraicGeometry.Scheme", "Opposite", "AlgebraicGeometry.Scheme.Modules.instCategory", "AlgebraicGeometry.PresheafedSpace.carrier", "CategoryTheory.CategoryStruct.toQuiver", ...
true
Lagrange.nodal_insert_eq_nodal
Mathlib.LinearAlgebra.Lagrange
[ "Polynomial.C", "CommRing", "Finset.prod_insert", "HMul.hMul", "Monoid.toMulOneClass", "congrArg", "CommSemiring.toSemiring", "Finset", "HSub.hSub", "RingHom", "Membership.mem", "id", "MulOne.toMul", "Insert.insert", "Lagrange.nodal", "Polynomial", "Finset.instInsert", "Finset.prod...
true
HDiv.hDiv
Init.Prelude
[ "outParam", "HDiv" ]
true
Valuation.toMonoidWithZeroHom
Mathlib.RingTheory.Valuation.Basic
[ "CommMonoidWithZero.toMonoidWithZero", "LinearOrderedCommMonoidWithZero.toCommMonoidWithZero", "instMulZeroOneClassOfSemiring", "MonoidWithZeroHom", "MonoidWithZero.toMulZeroOneClass", "LinearOrderedCommMonoidWithZero", "Ring.toSemiring", "Ring", "Valuation" ]
true
Std.DHashMap.get_modify_self
Std.Data.DHashMap.Lemmas
[ "Std.DHashMap.Raw", "Std.DHashMap.Internal.Raw₀.get_modify_self", "LawfulBEq", "Membership.mem", "Std.DHashMap.instMembership", "Std.DHashMap.wf", "instOfNatNat", "Subtype.mk", "Std.DHashMap.modify", "Std.DHashMap.inner", "Std.DHashMap.mem_modify", "Nat", "Std.DHashMap.get", "Std.DHashMap....
true
AddAction.nonempty_orbit
Mathlib.GroupTheory.GroupAction.Defs
[ "AddAction.orbit", "AddMonoid.toAddSemigroup", "AddMonoid.toAddZeroClass", "AddZeroClass.toAddZero", "Zero.instNonempty", "HVAdd.hVAdd", "AddAction", "AddZero.toZero", "AddAction.toAddSemigroupAction", "Set.Nonempty", "AddSemigroupAction.toVAdd", "Set.range_nonempty", "AddMonoid", "instHVA...
true
Topology.closure_of
Mathlib.Topology.Defs.Basic
[ "instOfNatNat", "Lean.ParserDescr.binary", "Lean.ParserDescr", "Lean.ParserDescr.node", "Nat", "Lean.ParserDescr.symbol", "Lean.Name.mkStr2", "Lean.ParserDescr.cat", "OfNat.ofNat", "Lean.Name.mkStr1" ]
true
Lean.Meta.simpEq.match_6
Mathlib.Lean.Meta.Simp
[ "Lean.Meta.simpEq._sparseCasesOn_8", "String", "Lean.Expr.const", "Lean.Expr", "Nat.hasNotBit", "Lean.Level", "Lean.Name.ctorIdx", "dite", "Lean.Name.str", "List.cons", "Lean.Name.anonymous", "List", "Lean.Meta.simpEq._sparseCasesOn_7", "Eq.ndrec_symm", "instDecidableEqString", "Lean.M...
false
BitVec.shiftLeftZeroExtend._proof_1
Init.Data.BitVec.Basic
[ "instPowNat", "Eq.mpr", "Nat.shiftLeft_eq", "Nat.pow_add", "HMul.hMul", "congrArg", "Nat.mul_lt_mul_of_pos_right", "HShiftLeft.hShiftLeft", "Nat.two_pow_pos", "id", "instMulNat", "instOfNatNat", "instNatPowNat", "instHAdd", "HPow.hPow", "HAdd.hAdd", "Nat", "congr", "LT.lt", "in...
false
Lean.Meta.Grind.EMatch.SearchState._sizeOf_inst
Lean.Meta.Tactic.Grind.EMatch
[ "Lean.Meta.Grind.EMatch.SearchState", "Lean.Meta.Grind.EMatch.SearchState._sizeOf_1", "SizeOf.mk", "SizeOf" ]
false
_private.Mathlib.Tactic.Translate.Reorder.0.Mathlib.Tactic.Translate.guessReorder.visit._sparseCasesOn_11
Mathlib.Tactic.Translate.Reorder
[ "Nat.ne_of_beq_eq_false", "Lean.Expr.const", "Lean.Expr.letE", "Lean.Expr.mvar", "Nat.shiftRight", "Lean.MVarId", "Lean.Expr", "Lean.FVarId", "Nat.hasNotBit", "instOfNatNat", "Lean.Expr.sort", "Lean.Expr.bvar", "Lean.Level", "Lean.Literal", "Lean.Expr.mdata", "Lean.Expr.fvar", "Lean....
false
CategoryTheory.MorphismProperty.multiplicativeClosure'.below.id
Mathlib.CategoryTheory.MorphismProperty.Composition
[ "CategoryTheory.MorphismProperty", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "CategoryTheory.MorphismProperty.multiplicativeClosure'.below.id", "CategoryTheory.CategoryStruct.id", "CategoryTheory.MorphismProperty.multiplicativeClosure'", "CategoryTheory.MorphismProperty.multiplicativeClosu...
true
LocallyConstant.instCommMonoid
Mathlib.Topology.LocallyConstant.Algebra
[ "MulOne.toOne", "Monoid.toMulOneClass", "LocallyConstant.instCommMonoid._proof_2", "MulOne.toMul", "LocallyConstant", "Pi.commMonoid", "LocallyConstant.instMul", "LocallyConstant.instCommMonoid._proof_3", "LocallyConstant.instOne", "Monoid.toPow", "TopologicalSpace", "LocallyConstant.instMulOn...
true
conjneg_inj
Mathlib.Algebra.Star.Conjneg
[ "conjneg_injective", "CommSemiring.toSemiring", "Function.Injective.eq_iff", "conjneg", "CommSemiring", "AddGroup", "Iff", "StarRing", "NonAssocSemiring.toNonUnitalNonAssocSemiring", "Semiring.toNonAssocSemiring", "Eq" ]
true
GenContFract.IntFractPair.stream_zero
Mathlib.Algebra.ContinuedFractions.Computation.Translations
[ "GenContFract.IntFractPair.stream", "LinearOrder", "GenContFract.IntFractPair", "Option.some", "DivisionRing.toRing", "instOfNatNat", "GenContFract.IntFractPair.of", "Nat", "DivisionRing", "OfNat.ofNat", "FloorRing", "Eq", "rfl", "Option" ]
true
Mathlib.Tactic.DefEqAbuse._aux_Mathlib_Tactic_DefEqAbuse___elabRules_Mathlib_Tactic_DefEqAbuse_defeqAbuse_1
Mathlib.Tactic.DefEqAbuse
[ "Pure.pure", "Lean.Core.instMonadTraceCoreM", "Lean.TSyntax", "Lean.Elab.Tactic.instMonadExceptExceptionTacticM", "Lean.MessageData", "Unit.unit", "Lean.Exception.internal", "Lean.instMonadExceptOfExceptionCoreM", "Std.instToFormatString", "Array.mkEmpty", "Except.ok", "Lean.PersistentArrayNod...
false
CategoryTheory.Functor.essImage.liftFunctor._proof_1
Mathlib.CategoryTheory.EssentialImage
[ "CategoryTheory.Functor.EssImageSubcategory", "CategoryTheory.ObjectProperty.FullSubcategory.mk", "CategoryTheory.Functor.preimage", "CategoryTheory.Functor", "CategoryTheory.Functor.preimage.congr_simp", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "congrArg", "CategoryTheory.ObjectPrope...
false
_private.Lean.Elab.DeclModifiers.0.Lean.Elab.Modifiers.isNoncomputable._sparseCasesOn_1
Lean.Elab.DeclModifiers
[ "Nat.ne_of_beq_eq_false", "Lean.Elab.ComputeKind", "Lean.Elab.ComputeKind.ctorIdx", "Nat.shiftRight", "Nat.hasNotBit", "instOfNatNat", "Lean.Elab.ComputeKind.noncomputable", "Nat.land", "Lean.Elab.ComputeKind.meta", "Nat", "Bool", "Eq.refl", "OfNat.ofNat", "Bool.false", "Lean.Elab.Comput...
false
CommRingCat.commRingObj._aux_1
Mathlib.Algebra.Category.Ring.Limits
[ "CategoryTheory.Functor", "CommRingCat.carrier", "AddMonoid.toAddSemigroup", "CommSemiring.toSemiring", "CommRingCat", "CommRingCat.instConcreteCategoryRingHomCarrier", "CategoryTheory.Functor.comp", "RingHom", "CommRingCat.instCategory", "CommRingCat.instCommRingObjForgetRingHomCarrier", "AddSe...
false
AddMonoidAlgebra.uniqueAlgEquiv
Mathlib.Algebra.MonoidAlgebra.Basic
[ "AddMonoidAlgebra.semiring", "RingEquiv.toEquiv", "Unique", "AddMonoidAlgebra.algebra", "AddMonoidAlgebra.uniqueAlgEquiv._proof_1", "Algebra", "Distrib.toAdd", "AlgEquiv.mk", "AddMonoidAlgebra.uniqueAlgEquiv._proof_3", "instDistribOfSemiring", "CommSemiring", "Unique.instSubsingleton", "Dist...
true
_private.Mathlib.Analysis.CStarAlgebra.ContinuousFunctionalCalculus.NonUnital.0._auto_85
Mathlib.Analysis.CStarAlgebra.ContinuousFunctionalCalculus.NonUnital
[ "Lean.Syntax.node", "Array.push", "Lean.Syntax", "Array.empty", "Lean.SourceInfo.none", "Lean.Name.mkStr1", "Lean.Name.mkStr4", "Lean.mkAtom" ]
false
MeasureTheory.Measure.addHaarMeasure.eq_1
Mathlib.MeasureTheory.Measure.Haar.Basic
[ "instHSMul", "MeasureTheory.Measure", "instSMulOfMul", "TopologicalSpace.PositiveCompacts.instSetLike", "CommSemiring.toSemiring", "BorelSpace", "MeasureTheory.Measure.instSMul", "ENNReal.instCommSemiring", "MeasureTheory.Measure.addHaarMeasure._proof_1", "instDistribOfSemiring", "MeasurableSpac...
true
CategoryTheory.Functor.HomObj.naturality_assoc
Mathlib.CategoryTheory.Functor.FunctorHom
[ "CategoryTheory.Category.assoc", "CategoryTheory.Functor", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "congrArg", "CategoryTheory.ConcreteCategory.hom", "TypeCat.instFunLikeFun", "Eq.mp", "id", "Mathlib.Tactic.Reassoc.eq_whisker'", "CategoryTheory.Functor.map", "TypeCat.Fun", "C...
true
Lean.Meta.getElimExprInfo
Lean.Meta.Tactic.ElimInfo
[ "Pure.pure", "Lean.Core.instMonadTraceCoreM", "Array.takeWhile", "Std.Rci.mk", "Lean.MessageData", "Lean.MonadError.mk", "Unit.unit", "Lean.instMonadExceptOfExceptionCoreM", "bne", "Subarray", "Bool.not", "Std.Rio.instForIn'InferInstanceMembershipOfLawfulUpwardEnumerableOfLawfulUpwardEnumerabl...
true
CategoryTheory.ShortComplex.RightHomologyMapData.compatibilityOfZerosOfIsColimitCokernelCofork._proof_3
Mathlib.Algebra.Homology.ShortComplex.RightHomology
[ "CategoryTheory.Limits.HasZeroMorphisms", "CategoryTheory.ShortComplex.RightHomologyData.ofZeros", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "CategoryTheory.Limits.WalkingParallelPair", "congrArg", "CategoryTheory.Limits.CokernelCofork", "CategoryTheory.ShortComplex", "CategoryTheory.S...
false
RBTree.RBSet.AlterWF.recOn
BatteriesRecycling.RBTree.Basic
[ "RBTree.RBSet.AlterWF", "RBTree.RBNode.alter", "Ordering", "RBTree.RBSet", "RBTree.RBNode", "RBTree.RBSet.AlterWF.mk", "RBTree.RBNode.WF", "RBTree.RBSet.AlterWF.rec", "Subtype.val", "Option" ]
false
TestFunction.instAddCommGroup._proof_8
Mathlib.Analysis.Distribution.TestFunction
[ "TestFunction.instZero", "Real", "instHSMul", "NormedSpace", "AddMonoid.toAddSemigroup", "TestFunction.toTestFunctionClass", "TestFunction.instAddCommGroup._proof_2", "TestFunction.instSMulOfSMulCommClassRealOfContinuousConstSMul._proof_2", "DistribMulAction.toDistribSMul", "AddMonoid.nat_smulComm...
false
Homeomorph.preimageImageRestrict._proof_2
Mathlib.Topology.IsClosedRestrict
[ "congrArg", "Compl.compl", "Membership.mem", "Set.Elem", "Topology.reorderRestrictProd_mem_preimage_image_restrict", "Topology.reorderRestrictProd", "Prod.mk", "Topology.reorderRestrictProd_of_mem", "Set.instCompl", "Prod.fst", "Subtype.mk", "funext", "Set.preimage", "Prod.ext", "True", ...
false
_private.Std.Async.UDP.0.Std.Async.UDP.Socket.ofNative._flat_ctor
Std.Async.UDP
[ "Std.Internal.UV.UDP.Socket", "_private.Std.Async.UDP.0.Std.Async.UDP.Socket.ofNative", "Std.Async.UDP.Socket" ]
false
_private.Mathlib.Analysis.BoxIntegral.Box.Basic.0.BoxIntegral.Box.disjoint_withBotCoe._simp_1_1
Mathlib.Analysis.BoxIntegral.Box.Basic
[ "OrderBot.toBot", "PartialOrder.toPreorder", "Preorder.toLE", "Disjoint", "OrderBot", "SemilatticeInf.toPartialOrder", "Bot.bot", "SemilatticeInf.toMin", "LE.le", "SemilatticeInf", "propext", "disjoint_iff_inf_le", "Eq", "Min.min" ]
false
TopologicalSpace.IrreducibleCloseds.mk.injEq
Mathlib.Topology.Sets.Closeds
[ "Eq.propIntro", "IsIrreducible", "TopologicalSpace.IrreducibleCloseds", "IsClosed", "TopologicalSpace", "Eq.ndrec", "TopologicalSpace.IrreducibleCloseds.mk.inj", "Eq.refl", "Eq", "TopologicalSpace.IrreducibleCloseds.mk", "Set" ]
true
AugmentedSimplexCategory.equivAugmentedCosimplicialObject_counitIso_hom_app_left
Mathlib.AlgebraicTopology.SimplexCategory.Augmented.Basic
[ "CategoryTheory.WithInitial.equivComma._proof_2", "CategoryTheory.Functor", "CategoryTheory.WithInitial.mkCommaMorphism", "CategoryTheory.CosimplicialObject.instCategoryAugmented", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "CategoryTheory.Functor.mk", "CategoryTheory.Functor.category", ...
true
TopologicalSpace.IsTopologicalBasis.nhds_hasBasis
Mathlib.Topology.Bases
[ "Filter.instMembership", "congrArg", "Membership.mem", "Exists", "nhds", "HasSubset.Subset", "iff_self", "TopologicalSpace", "funext", "And", "Filter.HasBasis", "Iff", "Filter.HasBasis.mk", "True", "TopologicalSpace.IsTopologicalBasis", "Iff.trans", "of_eq_true", "TopologicalSpace....
true
Lean.Meta.Sym.Arith.CommRing.mk.inj
Lean.Meta.Sym.Arith.Types
[ "Lean.Meta.Sym.Arith.Ring", "Lean.Expr", "And", "Nat", "And.intro", "Lean.Meta.Sym.Arith.CommRing.mk.noConfusion", "Lean.Meta.Sym.Arith.CommRing", "Eq", "Lean.Meta.Sym.Arith.CommRing.mk", "Option" ]
true
UV.shadow_compression_subset_compression_shadow
Mathlib.Combinatorics.SetFamily.Compression.UV
[ "Iff.mpr", "Eq.mpr", "Finset.disjoint_of_erase_right", "False", "Finset.instGeneralizedBooleanAlgebra", "Finset.shadow", "Lattice.toSemilatticeSup", "Finset.decidableDisjoint", "Finset.mem_insert_self", "outParam", "Finset.instUnion", "Finset.notMem_sdiff_of_notMem_left", "Finset.instIsTrans...
true
Int.divisorsAntidiag_neg_natCast._proof_1
Mathlib.NumberTheory.Divisors
[ "not_exists._simp_1", "NegZeroClass.toNeg", "False", "Int.instIsStrictOrderedRing", "Nat.instMulZeroClass", "IsDomain.to_noZeroDivisors", "NonUnitalCommRing.toNonUnitalNonAssocCommRing", "Equiv.instEquivLike", "HMul.hMul", "CommRing.toNonUnitalCommRing", "Nat.divisorsAntidiagonal", "eq_false",...
false
_private.Mathlib.Algebra.Order.Ring.WithTop.0.WithBot.instPosMulStrictMono._simp_1
Mathlib.Algebra.Order.Ring.WithTop
[ "WithBot.some", "WithBot", "WithBot.instLT", "Bot.bot", "LT.lt", "True", "WithBot.bot_lt_coe", "eq_true", "Eq", "WithBot.bot", "LT" ]
false
CategoryTheory.leftDistributor_ext_left
Mathlib.CategoryTheory.Monoidal.Preadditive
[ "CategoryTheory.MonoidalCategoryStruct.whiskerLeft", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "congrArg", "Finite", "CategoryTheory.MonoidalCategory", "CategoryTheory.Limits.HasFiniteBiproducts", "CategoryTheory.MonoidalPreadditive", "CategoryTheory.epi_of_strongEpi", "Nonempty.intr...
true
Submodule.submoduleOf_sup_of_le
Mathlib.Algebra.Module.Submodule.Range
[ "Eq.mpr", "Submodule", "RingHomSurjective.ids", "Lattice.toSemilatticeSup", "congrArg", "and_self", "Submodule.map_comap_eq", "Submodule.addCommMonoid", "Submodule.completeLattice", "PartialOrder.toPreorder", "Submodule.map_sup", "Preorder.toLE", "Membership.mem", "CompleteLattice.toCondit...
true
AddMonoidHom.compHom'_apply_apply
Mathlib.Algebra.Group.Hom.Instances
[ "AddMonoid.toAddZeroClass", "AddZeroClass.toAddZero", "AddMonoidHom.instAddCommMonoid", "AddMonoidHom.compHom'", "AddCommMonoid", "AddZeroClass", "Eq.refl", "AddCommMonoid.toAddMonoid", "AddMonoidHom", "AddMonoidHom.instFunLike", "Eq", "DFunLike.coe" ]
true
Lean.MetavarContext.incDepth
Lean.MetavarContext
[ "Lean.MetavarContext.decls", "Lean.MetavarContext.eAssignment", "Lean.MetavarContext.mvarCounter", "Lean.MetavarContext.mk", "Lean.MetavarContext", "Lean.MetavarContext.depth", "Lean.MetavarContext.levelAssignDepth", "instDecidableEqBool", "instOfNatNat", "Bool.true", "instHAdd", "Lean.Metavar...
true
Matrix.circulant_col_zero_eq
Mathlib.LinearAlgebra.Matrix.Circulant
[ "sub_zero", "HSub.hSub", "SubtractionMonoid.toSubNegZeroMonoid", "SubtractionMonoid.toSubNegMonoid", "SubNegZeroMonoid.toNegZeroClass", "congr_arg", "SubNegMonoid.toSub", "instHSub", "SubtractionMonoid", "Zero.toOfNat0", "OfNat.ofNat", "NegZeroClass.toZero", "Eq", "Matrix.circulant" ]
true
_private.Lean.Environment.0.Lean.ImportedModule.rec
Lean.Environment
[ "Lean.EffectiveImport", "Lean.CompactedRegion", "_private.Lean.Environment.0.Lean.ImportedModule.mk", "Array", "Bool", "_private.Lean.Environment.0.Lean.ImportedModule", "Lean.ModuleData", "Prod", "Option" ]
false
CategoryTheory.toSkeleton
Mathlib.CategoryTheory.Skeletal
[ "CategoryTheory.isIsomorphicSetoid", "Quotient.mk", "CategoryTheory.Category", "CategoryTheory.Skeleton" ]
true
LinearEquiv.toEquiv
Mathlib.Algebra.Module.Equiv.Defs
[ "RingHom", "Equiv", "LinearEquiv.toAddEquiv", "AddCommMonoid", "RingHomInvPair", "LinearEquiv", "Semiring", "AddCommSemigroup.toAddCommMagma", "AddEquiv.toEquiv", "Module", "AddCommMonoid.toAddCommSemigroup", "Semiring.toNonAssocSemiring", "AddCommMagma.toAdd" ]
true
Homotopy.mkInductiveAux₂._proof_4
Mathlib.Algebra.Homology.Homotopy
[ "PSigma.snd", "HomologicalComplex.xNext", "Eq.mpr", "CategoryTheory.Category.assoc", "ChainComplex", "HomologicalComplex.instCategory", "Nat.instOne", "HomologicalComplex.Hom.f", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "congrArg", "AddCommGroup.toAddCommMonoid", "AddRightCanc...
false
Ideal.radical_le_jacobson
Mathlib.RingTheory.Jacobson.Ideal
[ "CommRing", "Semiring.toModule", "CommSemiring.toSemiring", "Submodule.completeLattice", "PartialOrder.toPreorder", "setOf", "Preorder.toLE", "Membership.mem", "Eq.rec", "Ideal.jacobson", "Submodule.instPartialOrder", "LE.le", "Ideal.IsMaximal.isPrime", "Ideal", "Ideal.radical_eq_sInf", ...
true
CategoryTheory.Grothendieck.fiber_eqToHom
Mathlib.CategoryTheory.Grothendieck
[ "CategoryTheory.Cat.category", "CategoryTheory.Grothendieck.fiber_eqToHom._proof_1", "CategoryTheory.Functor", "CategoryTheory.Grothendieck.fiber", "CategoryTheory.Grothendieck.base", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "CategoryTheory.eqToHom", "CategoryTheory.Grothendieck", "...
true
Lean.DataValue.ofString.injEq
Lean.Data.KVMap
[ "Eq.propIntro", "String", "Lean.DataValue.ofString.inj", "Lean.DataValue.ofString", "Eq.ndrec", "Eq.refl", "Lean.DataValue", "Eq" ]
true
Lean.Elab.Term.PostponeBehavior.partial.sizeOf_spec
Lean.Elab.SyntheticMVars
[ "Lean.Elab.Term.PostponeBehavior", "Lean.Elab.Term.PostponeBehavior._sizeOf_inst", "instOfNatNat", "Nat", "SizeOf.sizeOf", "Eq.refl", "OfNat.ofNat", "Eq", "Lean.Elab.Term.PostponeBehavior.partial" ]
true
_private.Mathlib.AlgebraicTopology.SimplicialObject.DeltaZeroIter.0.CategoryTheory.SimplicialObject.δ_δ₀Iter._proof_1_2
Mathlib.AlgebraicTopology.SimplicialObject.DeltaZeroIter
[ "Lean.Grind.CommRing.le_norm_expr", "Lean.Grind.instOrderedRingInt", "Lean.RArray.leaf", "False", "Lean.Grind.CommRing.Expr.var", "Lean.Grind.ToInt.toInt", "Classical.byContradiction", "PartialOrder.toPreorder", "Nat.not_le_eq", "Nat.ToInt.add_congr", "IntCast.intCast", "SemilatticeInf.toParti...
false
_private.Batteries.Data.List.Perm.0.List.Perm.idxBij_leftInverse_idxBij_symm._proof_1_15
Batteries.Data.List.Perm
[ "Lean.Grind.nestedProof", "Lean.Grind.Nat.lt_eq", "List.getElem_filter_eq_getElem_getElem_findIdxs._proof_2", "LawfulBEq", "List.Perm", "instOfNatNat", "LE.le", "instLENat", "Fin.val", "GetElem.getElem", "List.findIdxs", "List", "instHAdd", "EquivBEq.toReflBEq", "BEq.beq", "List.Perm.i...
false
_private.Mathlib.Topology.MetricSpace.Bounded.0.Metric.comap_dist_right_atTop._simp_1_1
Mathlib.Topology.MetricSpace.Bounded
[ "Real", "Real.instLT", "Membership.mem", "Metric.ball", "Metric.mem_ball", "PseudoMetricSpace", "LT.lt", "propext", "Dist.dist", "PseudoMetricSpace.toDist", "Eq", "Set.instMembership", "Set" ]
false
AddCommGrpCat.instCreatesColimitsOfSizeUliftFunctor
Mathlib.Algebra.Category.Grp.Ulift
[ "CategoryTheory.CreatesColimitsOfShape.mk", "CategoryTheory.Functor", "AddCommGrpCat.uliftFunctor", "AddCommGrpCat.instCategory", "AddCommGrpCat.instFaithfulUliftFunctor", "CategoryTheory.CreatesColimitsOfSize.mk", "AddCommGrpCat.instCreatesColimitsOfSizeUliftFunctor._proof_1", "CategoryTheory.reflect...
true
_private.Mathlib.Tactic.Translate.Reorder.0.Mathlib.Tactic.Translate.guessUnivReorder.match_9
Mathlib.Tactic.Translate.Reorder
[ "Subtype.casesOn", "Subtype", "instOfNatNat", "LE.le", "instLENat", "Subtype.mk", "List", "Nat", "OfNat.ofNat", "List.length" ]
false
FloorRing.ofFloor._proof_1
Mathlib.Algebra.Order.Floor.Defs
[ "AddGroup.toSubtractionMonoid", "Int.cast_neg", "Int.cast", "Eq.mpr", "NegZeroClass.toNeg", "neg_le", "IsOrderedRing", "AddGroupWithOne.toAddGroup", "congrArg", "LinearOrder", "covariant_swap_add_of_covariant_add", "Iff.rfl", "PartialOrder.toPreorder", "Preorder.toLE", "SemilatticeInf.to...
false
Stream'.get_even
Mathlib.Data.Stream.Init
[ "HMul.hMul", "Stream'.even", "Nat.brecOn", "instMulNat", "instOfNatNat", "Stream'", "Stream'.get", "Nat", "Stream'.get_even._f", "OfNat.ofNat", "Eq", "instHMul" ]
true
Units.coe_smul
Mathlib.Algebra.Group.Action.Units
[ "Monoid", "Units.val", "instHSMul", "Units", "Monoid.toSemigroup", "MulDistribMulAction.toMulAction", "HSMul.hSMul", "SemigroupAction.toSMul", "MulAction.toSemigroupAction", "Units.mulDistribMulActionRight", "MulDistribMulAction", "Eq", "Units.instMonoid", "rfl" ]
true
_private.Lean.Meta.ExprDefEq.0.Lean.Meta.processAssignmentFOApproxAux
Lean.Meta.ExprDefEq
[ "Lean.Expr.brecOn", "Lean.Expr", "Lean.Meta.MetaM", "_private.Lean.Meta.ExprDefEq.0.Lean.Meta.processAssignmentFOApproxAux._f", "Array", "Bool" ]
true
List.bagInter.match_1.congr_eq_3
Mathlib.Data.List.Lattice
[ "Eq.mpr", "False", "Nat.ne_of_beq_eq_false", "congrArg", "Nat.shiftRight", "id", "Nat.hasNotBit", "instOfNatNat", "List.rec", "List.cons", "Nat.land", "List", "heq_of_eq", "absurd", "List.bagInter.match_1", "Nat", "List.casesOn", "Bool", "Eq.ndrec", "Eq.refl", "HEq", "List....
true