name
stringlengths
2
347
module
stringlengths
6
90
deps
listlengths
0
692
allowCompletion
bool
2 classes
CategoryTheory.MonoidalCategory.fullSubcategory._proof_9
Mathlib.CategoryTheory.Monoidal.Category
[ "Eq.mpr", "CategoryTheory.ObjectProperty.FullSubcategory.mk", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "congrArg", "CategoryTheory.MonoidalCategory", "CategoryTheory.ObjectProperty.FullSubcategory.property", "CategoryTheory.CategoryStruct.id", "id", "CategoryTheory.ObjectProperty.Fu...
false
TensorPower.galgebra._proof_4
Mathlib.LinearAlgebra.TensorPower.Basic
[ "PiTensorProduct.instModule", "LinearMap.toAddMonoidHom", "NonAssocSemiring.toAddCommMonoidWithOne", "Semiring.toModule", "HMul.hMul", "AddMonoid.toAddSemigroup", "CommSemiring.toSemiring", "TensorPower.mulEquiv._proof_2", "AddMonoid.toAddZeroClass", "DirectSum.GSemiring.toGNonUnitalNonAssocSemiri...
false
_private.Mathlib.Geometry.Manifold.HasGroupoid.0.restr_mem_maximalAtlas_aux2
Mathlib.Geometry.Manifold.HasGroupoid
[ "StructureGroupoid.mem_of_eqOnSource", "Eq.mpr", "OpenPartialHomeomorph.open_source", "congrArg", "PartialEquiv.target", "OpenPartialHomeomorph.trans", "Membership.mem", "OpenPartialHomeomorph.isOpen_image_iff_of_subset_source", "OpenPartialHomeomorph.isOpen_image_source_inter", "StructureGroupoid...
true
Lean.Expr.coeTypeSet?.match_1
Mathlib.Lean.Expr.ExtraRecognizers
[ "of_decide_eq_true", "Array.getLit", "Lean.Expr", "id", "Lean.Expr.coeTypeSet?._sparseCasesOn_1", "Nat.hasNotBit", "instOfNatNat", "Lean.Expr.bvar", "dite", "List.toArray", "List.cons", "Array", "Bool.true", "Nat", "LT.lt", "Eq.ndrec_symm", "Bool", "Nat.decLt", "Eq.ndrec", "Eq....
false
CategoryTheory.Limits.ColimitPresentation.noConfusion
Mathlib.CategoryTheory.Limits.Presentation
[ "CategoryTheory.Limits.ColimitPresentation.casesOn", "CategoryTheory.Functor", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "HEq.refl", "CategoryTheory.Functor.category", "CategoryTheory.Limits.IsColimit", "CategoryTheory.Limits.Cocone.mk", "CategoryTheory.Limits.ColimitPresentation.noCon...
false
CategoryTheory.createsColimitOfNatIso
Mathlib.CategoryTheory.Limits.Creates
[ "CategoryTheory.CreatesColimit.mk", "CategoryTheory.LiftableCocone.mk", "CategoryTheory.Functor", "CategoryTheory.Limits.Cocone", "CategoryTheory.Functor.mapCocone", "CategoryTheory.Limits.Cocone.precompose", "Equiv.instEquivLike", "CategoryTheory.Functor.category", "CategoryTheory.Functor.comp", ...
true
GenLoop.copy
Mathlib.Topology.Homotopy.HomotopyGroup
[ "Real", "Pi.topologicalSpace", "ContinuousMap.mk", "ContinuousMap", "PseudoMetricSpace.toUniformSpace", "GenLoop.instFunLike", "Membership.mem", "GenLoop.copy._proof_2", "Set.Elem", "GenLoop.copy._proof_1", "Subtype.mk", "GenLoop", "TopologicalSpace", "Real.pseudoMetricSpace", "instTopol...
true
Std.DHashMap.Raw.getKey!_union
Std.Data.DHashMap.RawLemmas
[ "Std.DHashMap.Raw.WF", "Eq.mpr", "congrArg", "Std.DHashMap.Raw", "Std.DHashMap.Raw.getKey!", "id", "instOfNatNat", "Std.DHashMap.Raw.WF.size_buckets_pos", "Std.DHashMap.Internal.Raw₀.union", "LawfulHashable", "Std.DHashMap.Raw.getKeyD", "Subtype.mk", "EquivBEq", "Std.DHashMap.Internal.Raw₀...
true
instDivFloat32
Init.Data.Float32
[ "Div", "Div.mk", "Float32.div", "Float32" ]
true
_private.Mathlib.Analysis.Convex.Side.0.Affine.Simplex.wOppSide_affineSpan_faceOpposite_point_left_iff._simp_1_1
Mathlib.Analysis.Convex.Side
[ "Preorder.toLT", "SignType.instOne", "PartialOrder.toPreorder", "SignType.instLinearOrder", "SemilatticeInf.toPartialOrder", "DistribLattice.toLattice", "SignType.instNeg", "OrderHom.instFunLike", "LT.lt", "propext", "SignType", "One.toOfNat1", "Zero.toOfNat0", "OfNat.ofNat", "Eq", "DF...
false
Lean.Parser.Command.importPath._regBuiltin.Lean.Parser.Command.importPath.docString_3
Lean.Parser.Command
[ "Lean.addBuiltinDocString", "IO", "Unit", "Lean.Name.mkStr4" ]
false
setOf_isOpen_iSup
Mathlib.Topology.Order
[ "OrderDual.toDual", "Equiv.instEquivLike", "OrderDual.ofDual", "iSup", "Set.iInter", "setOf", "Function.comp", "CompleteLattice.toConditionallyCompleteLattice", "TopologicalSpace.instCompleteLattice", "Equiv", "TopologicalSpace.generateFrom", "GaloisConnection.l_iSup", "TopologicalSpace", ...
true
Lean.Elab.Term.MatchExpr.Alt.k._default
Lean.Elab.MatchExpr
[ "Lean.TSyntax", "Lean.Syntax.missing", "Lean.identKind", "Lean.TSyntax.mk", "id", "List.cons", "Lean.SyntaxNodeKind", "List.nil" ]
false
Mathlib.Tactic.«_aux_Mathlib_Tactic_ExistsI___macroRules_Mathlib_Tactic_tacticExistsi_,,_1»
Mathlib.Tactic.ExistsI
[ "Pure.pure", "Lean.Syntax.TSepArray.mk", "Lean.Syntax.node", "Lean.TSyntax", "Lean.MonadRef.mkInfoFromRefPos", "instMonadExceptOfMonadExceptOf", "Array.push", "Lean.Syntax.getArgs", "Lean.SourceInfo", "MonadExcept.throw", "Lean.Syntax.isOfKind", "EStateM.instMonad", "Lean.Macro.Exception", ...
false
zpow_le_zpow_iff_right
Mathlib.Algebra.Order.Group.Basic
[ "Preorder.toLT", "InvOneClass.toOne", "DivisionCommMonoid.toDivisionMonoid", "DivInvOneMonoid.toInvOneClass", "IsOrderedMonoid", "Int.instLinearOrder", "PartialOrder.toPreorder", "zpow_right_strictMono", "DivInvMonoid.toZPow", "Preorder.toLE", "DivisionMonoid.toDivInvOneMonoid", "PartialOrder"...
true
AddSubgroup.quotientEquivOfEq._proof_3
Mathlib.GroupTheory.Coset.Defs
[ "Eq.rec", "QuotientAddGroup.mk", "id", "AddSubgroup", "HasQuotient.Quotient", "AddGroup", "QuotientAddGroup.instHasQuotientAddSubgroup", "Quotient.map'", "AddSubgroup.quotientEquivOfEq._proof_2", "QuotientAddGroup.leftRel", "Eq.symm", "Eq", "QuotientAddGroup.induction_on", "AddSubgroup.quo...
false
Lean.Compiler.LCNF.LetDecl.updateCore
Lean.Compiler.LCNF.Basic
[ "Inhabited.default", "Lean.Compiler.LCNF.LetValue", "Lean.Expr", "Lean.Compiler.LCNF.Purity", "Lean.Compiler.LCNF.LetDecl", "Lean.Compiler.LCNF.instInhabitedLetDecl" ]
true
Std.ExtTreeSet.mem_insert
Std.Data.ExtTreeSet.Lemmas
[ "Unit.unit", "Membership.mem", "Ordering", "Std.ExtTreeSet.inner", "Ordering.eq", "Std.TransCmp", "Unit", "Iff", "Std.ExtTreeSet.instMembershipOfTransCmp", "Std.ExtTreeSet", "Or", "Std.ExtTreeMap.mem_insertIfNew", "Eq", "Std.ExtTreeSet.insert" ]
true
CommSemiRingCat.instCreatesLimitSemiRingCatForget₂RingHomCarrierCarrier._proof_5
Mathlib.Algebra.Category.Ring.Limits
[ "CommSemiRingCat.instConcreteCategoryRingHomCarrier", "CategoryTheory.Limits.Cone.π", "SemiRingCat.instConcreteCategoryRingHomCarrier", "CategoryTheory.Functor", "CategoryTheory.Limits.Cone", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "CommSemiring.toSemiring", "CategoryTheory.ConcreteC...
false
Std.ExtHashSet.size_insertMany_list
Std.Data.ExtHashSet.Lemmas
[ "List.Pairwise", "instForInOfForIn'", "List.contains", "Std.ExtHashSet", "Std.ExtHashMap.size_insertManyIfNewUnit_list", "Membership.mem", "inferInstance", "Id", "Membership", "LawfulHashable", "List", "instHAdd", "BEq.beq", "EquivBEq", "List.instMembership", "HAdd.hAdd", "Nat", "S...
true
Std.DHashMap.Internal.Raw₀.getKey_alter._proof_1
Std.Data.DHashMap.Internal.RawLemmas
[ "Std.DHashMap.Raw.WF", "Std.DHashMap.Internal.Raw₀.get?", "Std.DHashMap.Internal.Raw₀.contains", "congrArg", "Std.DHashMap.Raw", "LawfulBEq", "Eq.mp", "instDecidableEqBool", "instOfNatNat", "Bool.true", "BEq.beq", "Std.DHashMap.Internal.Raw₀.alter", "Nat", "Std.DHashMap.Raw.buckets", "LT...
false
Lean.Macro.withFreshMacroScope
Init.Prelude
[ "EStateM.instMonad", "Lean.Macro.Exception", "ReaderT.instMonad", "Lean.Macro.Context.currRecDepth", "Lean.Macro.Context.ref", "instMonadWithReaderOfMonadWithReaderOf", "Prod.mk", "instOfNatNat", "Lean.MacroM", "ReaderT.instMonadLift", "Lean.Macro.Context", "MonadState.modifyGet", "instHAdd"...
true
Lean.instInhabitedInductiveVal
Lean.Declaration
[ "Inhabited", "Lean.instInhabitedInductiveVal.default", "Lean.InductiveVal", "Inhabited.mk" ]
true
Std.Time.ZonedDateTime.subSeconds
Std.Time.Zoned.ZonedDateTime
[ "Std.Time.ZonedDateTime.timestamp", "Std.Time.PlainDateTime.subSeconds", "Std.Time.Second.Offset", "Std.Time.PlainDateTime.toTimestampAssumingUTC", "Std.Time.ZonedDateTime.ofTimestamp", "Std.Time.PlainDateTime", "Std.Time.ZonedDateTime", "Std.Time.ZonedDateTime.rules", "Std.Time.Timestamp.toPlainDat...
true
IsAbelianGalois.mk._flat_ctor
Mathlib.FieldTheory.Galois.Abelian
[ "Std.Commutative", "HMul.hMul", "Monoid.toMulOneClass", "Algebra", "Normal", "Field.toDivisionRing", "MulOne.toMul", "DivInvMonoid.toMonoid", "IsAbelianGalois", "DivisionRing.toRing", "Field.toSemifield", "Field.toCommRing", "Algebra.IsSeparable", "IsAbelianGalois.mk", "Group.toDivInvMon...
false
_private.Init.Data.String.Lemmas.Pattern.String.ForwardPattern.0.String.Slice.Pos.revSkipWhile.match_1.eq_2
Init.Data.String.Lemmas.Pattern.String.ForwardPattern
[ "Eq.mpr", "False", "Nat.ne_of_beq_eq_false", "Option.ctorIdx", "congrArg", "False.elim", "Nat.shiftRight", "Option.some", "String.Slice", "id", "Nat.hasNotBit", "Option.rec", "instOfNatNat", "Nat.land", "Option.none", "_private.Init.Data.String.Slice.0.String.Slice.Pos.revSkipWhile.mat...
true
CategoryTheory.Discrete.monoidalFunctor_η
Mathlib.CategoryTheory.Monoidal.Discrete
[ "Monoid", "MulOne.toOne", "MonoidHom.instFunLike", "CategoryTheory.CategoryStruct.toQuiver", "MonoidHom", "Quiver.Hom", "Monoid.toMulOneClass", "CategoryTheory.Discrete.mk", "CategoryTheory.Functor.Monoidal.toOplaxMonoidal", "CategoryTheory.Discrete.monoidal", "MulOneClass.toMulOne", "Category...
true
SchwartzMap.compSubConstCLM_zero
Mathlib.Analysis.Distribution.SchwartzSpace.Basic
[ "NormedCommRing.toNormedRing", "InnerProductSpace.toNormedSpace", "NormedCommRing.toSeminormedCommRing", "Real", "NormedRing.toRing", "NormedSpace.toIsBoundedSMul", "RCLike.toNormedAlgebra", "NormedSpace", "SchwartzMap.instModule", "Real.instZero", "Real.instRCLike", "congrArg", "NormedAddCo...
true
Std.Time.FormatConfig.mk.inj
Std.Time.Format.Basic
[ "Std.Time.FormatConfig", "Std.Time.FormatConfig.mk.noConfusion", "Bool", "Std.Time.FormatConfig.mk", "Eq" ]
true
_private.Mathlib.Combinatorics.SetFamily.Compression.Down.0.Finset.memberSubfamily_union_nonMemberSubfamily._simp_1_1
Mathlib.Combinatorics.SetFamily.Compression.Down
[ "Finset.instUnion", "Finset", "Membership.mem", "Finset.instSetLike", "propext", "Finset.mem_union", "Or", "Union.union", "Eq", "SetLike.instMembership", "DecidableEq" ]
false
Lean.Elab.Term.instInhabitedElabElimInfo.default
Lean.Elab.App
[ "Inhabited.default", "Lean.Elab.Term.ElabElimInfo.mk", "instInhabitedNat", "Lean.Elab.Term.ElabElimInfo", "Lean.Expr", "Array", "Lean.instInhabitedExpr", "Array.instInhabited", "Nat" ]
true
BoundingSieve.nu_mult
Mathlib.NumberTheory.SelbergSieve
[ "Real", "Real.instMonoidWithZero", "ArithmeticFunction.IsMultiplicative", "BoundingSieve", "BoundingSieve.nu" ]
true
Fin.preimage_castLE_uIoo_castLE
Mathlib.Order.Interval.Set.Fin
[ "Fin.castLE", "LE.le", "instLENat", "Set.uIoo", "Fin.instLinearOrder", "Set.preimage", "Nat", "Fin", "Eq", "rfl", "Set" ]
true
Std.TreeMap.Raw.Equiv.forM_eq
Std.Data.TreeMap.Raw.Lemmas
[ "Std.DTreeMap.Raw.Equiv.forM_eq", "ForM.forM", "Std.TreeMap.Raw.WF.out", "Std.TreeMap.Raw.Equiv.inner", "Ordering", "Prod.mk", "LawfulMonad", "Sigma.fst", "Std.TreeMap.Raw.Equiv", "Std.TransCmp", "Std.TreeMap.Raw.WF", "Std.TreeMap.Raw.inner", "Std.TreeMap.Raw", "Std.TreeMap.Raw.instForMPro...
true
IsLocalizedModule.eq_zero_iff
Mathlib.Algebra.Module.LocalizedModule.Basic
[ "instHSMul", "IsLocalizedModule.mk'_eq_zero'", "CommSemiring.toSemiring", "DistribMulAction.toDistribSMul", "AddMonoid.toAddZeroClass", "IsLocalizedModule", "LinearMap.instFunLike", "Membership.mem", "Exists", "AddZeroClass.toAddZero", "Subtype", "DistribSMul.toSMulZeroClass", "Submonoid.smu...
true
Array.filterMapM_subtype
Init.Data.Array.Monadic
[ "List.unattach", "Eq.mpr", "congrArg", "Monad.toApplicative", "Array.filterMapM", "List.unattach_toArray", "List.length_unattach", "LawfulApplicative.toLawfulFunctor", "Array.casesOn", "id", "Subtype", "LawfulMonad", "List.filterMapM_toArray'", "instOfNatNat", "imp_self._simp_1", "List...
true
Std.DTreeMap.Raw.getKey?_maxKey!
Std.Data.DTreeMap.Raw.Lemmas
[ "Ord.mk", "Option.some", "Ordering", "Std.DTreeMap.Raw.isEmpty", "Std.DTreeMap.Raw.getKey?", "Std.TransCmp", "Std.DTreeMap.Raw.WF.out", "Std.DTreeMap.Raw.inner", "Bool", "Inhabited", "Std.DTreeMap.Internal.Impl.getKey?_maxKey!", "Std.DTreeMap.Raw.maxKey!", "Bool.false", "Eq", "Std.DTreeM...
true
CategoryTheory.Limits.Cofork.IsColimit.mk'._proof_1
Mathlib.CategoryTheory.Limits.Shapes.Equalizers
[ "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "CategoryTheory.Limits.WalkingParallelPair", "CategoryTheory.Limits.walkingParallelPairHomCategory", "Subtype", "And", "CategoryTheory.Limits.Cofork", "And.left", "CategoryTheory.CategoryStruct.comp", "CategoryTheory.Category.toCategoryStruct...
false
Subfield.coe_inv
Mathlib.Algebra.Field.Subfield.Defs
[ "GroupWithZero.toDivisionMonoid", "DivInvOneMonoid.toInvOneClass", "Subfield.instInvSubtypeMem", "DivisionSemiring.toGroupWithZero", "Membership.mem", "DivisionMonoid.toDivInvOneMonoid", "DivisionRing.toDivisionSemiring", "Subtype", "Subfield.instSetLike", "Inv.inv", "DivisionRing", "InvOneCla...
true
CategoryTheory.Factorisation.instCategory._proof_13
Mathlib.CategoryTheory.Category.Factorisation
[ "Eq.mpr", "CategoryTheory.Factorisation.instQuiver", "CategoryTheory.Factorisation", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "congrArg", "CategoryTheory.Factorisation.instCategory._proof_6", "CategoryTheory.Factorisation.instCategory._proof_8", "CategoryTheory.CategoryStruct.id", "...
false
WithTop.LinearOrderedAddCommGroup.instLinearOrderedAddCommGroupWithTopOfIsOrderedAddMonoid._proof_5
Mathlib.Algebra.Order.AddGroupWithTop
[ "WithTop.LinearOrderedAddCommGroup.instNeg", "AddMonoid.toAddSemigroup", "AddCommGroup.toAddCommMonoid", "LinearOrder", "PartialOrder.toPreorder", "AddCommGroup.toAddCancelCommMonoid", "WithTop.linearOrderedAddCommMonoidWithTop", "SemilatticeInf.toPartialOrder", "AddCommGroup", "DistribLattice.toL...
false
CategoryTheory.Precoverage.preZeroHypercoverFamily_property
Mathlib.CategoryTheory.Sites.Hypercover.ZeroFamily
[ "CategoryTheory.Precoverage", "CategoryTheory.Presieve", "CategoryTheory.PreZeroHypercover.presieve₀", "Membership.mem", "CategoryTheory.PreZeroHypercover", "CategoryTheory.PreZeroHypercoverFamily.property", "CategoryTheory.Precoverage.coverings", "Eq.refl", "CategoryTheory.Precoverage.preZeroHyperc...
true
Multiset.forall_mem_map_iff
Mathlib.Data.Multiset.MapFold
[ "Multiset.map", "Membership.mem", "List.forall_mem_map", "Multiset", "Quotient.inductionOn'", "Multiset.instMembership", "List", "Iff", "List.isSetoid" ]
true
PresheafOfModules.mk.noConfusion
Mathlib.Algebra.Category.ModuleCat.Presheaf
[ "RingHom.id._proof_3", "RingHom.comp._proof_4", "MulOne.toOne", "CategoryTheory.Functor", "RingHom.mk", "Opposite", "Quiver.opposite", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "ModuleCat", "CategoryTheory.CategoryStruct.opposite", "congrArg", "HEq.refl", "OneHom.mk", "Cate...
false
Polynomial.injective_ofFn
Mathlib.Algebra.Polynomial.OfFn
[ "Function.LeftInverse.injective", "Pi.Function.module", "Semiring.toModule", "Pi.addCommMonoid", "LinearMap.instFunLike", "Polynomial.toFn", "LinearMap", "Polynomial", "Polynomial.toFn_comp_ofFn_eq_id", "NonUnitalNonAssocSemiring.toAddCommMonoid", "NonAssocSemiring.toNonUnitalNonAssocSemiring", ...
true
bernoulli'PowerSeries_mul_exp_sub_one
Mathlib.NumberTheory.Bernoulli
[ "Rat.addCommMonoid", "Iff.mpr", "NormedCommRing.toNormedRing", "Rat.instOfNat", "NonUnitalNonAssocCommRing.toNonUnitalNonAssocCommSemiring", "Mathlib.Tactic.FieldSimp.zpow'_one", "Mathlib.Tactic.FieldSimp.NF.div_eq_eval₁", "Eq.mpr", "GroupWithZero.toMonoidWithZero", "NonAssocSemiring.toAddCommMono...
true
CategoryTheory.Precoverage.instBot
Mathlib.CategoryTheory.Sites.Precoverage
[ "CategoryTheory.Precoverage", "CategoryTheory.Presieve", "Bot", "CategoryTheory.Precoverage.mk", "Set.instEmptyCollection", "EmptyCollection.emptyCollection", "Bot.mk", "CategoryTheory.Category", "Set" ]
true
ValuativeRel.instMulArchimedeanValueGroupWithZeroOfIsRankLeOne
Mathlib.RingTheory.Valuation.ValuativeRel.Basic
[ "CommMonoidWithZero.toCommMonoid", "GroupWithZero.toMonoidWithZero", "NNReal.instCommSemiring", "ValuativeRel.instLinearOrderValueGroupWithZero", "CommRing", "StrictMono", "ValuativeRel.IsRankLeOne", "PartialOrder.toPreorder", "ValuativeRel.RankLeOneStruct", "MonoidWithZeroHom.funLike", "Semilat...
true
CategoryTheory.MonoidalClosed.curry'_ihom_map
Mathlib.CategoryTheory.Monoidal.Closed.Basic
[ "CategoryTheory.Category.assoc", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "congrArg", "CategoryTheory.MonoidalCategoryStruct.rightUnitor", "CategoryTheory.MonoidalCategory", "CategoryTheory.Functor.map", "CategoryTheory.MonoidalClosed.curry'", "CategoryTheory.MonoidalCategoryStruct.te...
true
_private.Init.Data.Vector.Lemmas.0.Vector.getElem_eq_getElem_reverse._proof_1_1
Init.Data.Vector.Lemmas
[ "False", "Lean.Omega.Constraint.not_sat'_of_isImpossible", "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", "Lean.Omega.Int.ofNat_sub_sub", "HSub.hSub", "Lean.Omega.Int.ofNat_sub_dichotomy", "Lea...
false
Polynomial.pow_sub_one_dvd_derivative_of_pow_dvd
Mathlib.Algebra.Polynomial.Derivative
[ "Polynomial.derivative", "Distrib.leftDistribClass", "Eq.mpr", "Polynomial.C", "NonAssocSemiring.toAddCommMonoidWithOne", "Polynomial.derivative_mul", "Semigroup.toMul", "Dvd.dvd", "Semiring.toModule", "HMul.hMul", "CommSemiring.toNonUnitalCommSemiring", "congrArg", "Dvd.dvd.mul_right", "C...
true
RingEquiv.subfieldCongr._proof_3
Mathlib.Algebra.Field.Subfield.Basic
[ "Subfield.toDivisionRing", "Equiv.setCongr", "Membership.mem", "DivisionRing.toDivisionSemiring", "RingEquiv.subfieldCongr._proof_1", "Set.Elem", "Subtype", "Distrib.toAdd", "Equiv.toFun", "Subfield.instSetLike", "instDistribOfSemiring", "instHAdd", "SetLike.coe", "HAdd.hAdd", "Iff.mp", ...
false
_private.Lean.Data.Lsp.Utf16.0.String.codepointPosToUtf16PosFromAux
Lean.Data.Lsp.Utf16
[ "String", "_private.Lean.Data.Lsp.Utf16.0.String.codepointPosToUtf16PosFromAux._f", "Nat.brecOn", "String.Pos.Raw", "Nat" ]
true
Real.cos_nat_mul_two_pi_sub
Mathlib.Analysis.SpecialFunctions.Trigonometric.Basic
[ "Real", "Real.pi", "HMul.hMul", "Real.cos", "Real.instSub", "Nat.instAtLeastTwoHAddOfNat", "HSub.hSub", "Eq.rec", "instOfNatNat", "Function.Periodic.nat_mul_sub_eq", "Real.commRing", "CommRing.toNonAssocCommRing", "Nat.cast", "instHSub", "Nat.instNeZeroSucc", "Nat", "Real.instMul", ...
true
Fix.noConfusionType
Mathlib.Control.Fix
[ "Fix", "Fix.casesOn", "HEq" ]
false
Metric.unitSphere.instDiv
Mathlib.Analysis.Normed.Field.UnitBall
[ "Metric.unitSphere.instDiv._proof_2", "Real", "instHDiv", "NormedDivisionRing.toNormedRing", "NormedDivisionRing.toDivisionRing", "Membership.mem", "DivisionRing.toDivisionSemiring", "DivisionRing.toDivInvMonoid", "Set.Elem", "HDiv.hDiv", "Div", "Div.mk", "Subtype.mk", "Real.instOne", "N...
true
Complex.range_liftAux
Mathlib.LinearAlgebra.Complex.Module
[ "Complex.liftAux", "Eq.mpr", "NegZeroClass.toNeg", "_private.Mathlib.LinearAlgebra.Complex.Module.0.Complex.range_liftAux._simp_1_2", "Real", "Lattice.toSemilatticeSup", "HMul.hMul", "Set.image_singleton", "CompleteLattice.toLattice", "congrArg", "AlgHom", "AlgHom.funLike", "PartialOrder.toP...
true
IsCompact.codiscreteWithin_eq
Mathlib.Topology.DiscreteSubset
[ "le_refl", "inf_le_inf", "Filter.instCompleteLatticeFilter", "PartialOrder.toPreorder", "IsCompact.cofinite_inf_le_codiscreteWithin", "CompleteLattice.toConditionallyCompleteLattice", "Filter.instInf", "TopologicalSpace", "le_imp_le_of_le_of_le", "le_antisymm", "Filter.codiscreteWithin", "Filt...
true
Std.DTreeMap.get_diff
Std.Data.DTreeMap.Lemmas
[ "Std.DTreeMap.mem_diff_iff", "Std.DTreeMap", "Ord.mk", "Membership.mem", "Ordering", "Std.DTreeMap.inner", "Std.DTreeMap.Internal.Impl.get_diff", "Std.TransCmp", "Std.DTreeMap.instSDiff", "Std.DTreeMap.instMembership", "SDiff.sdiff", "And", "And.left", "Std.LawfulEqCmp", "Std.DTreeMap.wf...
true
CategoryTheory.ObjectProperty.SerreClassLocalization.preservesCokernel
Mathlib.CategoryTheory.Abelian.SerreClass.Localization
[ "CategoryTheory.Abelian.toPreadditive", "CategoryTheory.ObjectProperty.SerreClassLocalization.map_eq_zero_iff", "Eq.mpr", "CategoryTheory.Category.assoc", "CategoryTheory.ObjectProperty.exists_comp_isoModSerre_eq_zero_iff", "CategoryTheory.Functor", "CategoryTheory.Functor.mapCocone", "CategoryTheory....
true
Measurable.ereal_exp
Mathlib.Analysis.SpecialFunctions.Log.ENNRealLogExp
[ "EReal.measurable_exp", "Measurable.comp", "Measurable", "EReal", "ENNReal.measurableSpace", "MeasurableSpace", "EReal.exp", "ENNReal", "EReal.measurableSpace" ]
true
_private.Init.Grind.ToIntLemmas.0.Lean.Grind.IntInterval.lo?.match_1.eq_4
Init.Grind.ToIntLemmas
[ "Unit.unit", "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
_private.Mathlib.Analysis.Analytic.IteratedFDeriv.0.HasFPowerSeriesWithinOnBall.iteratedFDerivWithin_eq_sum_of_subset._abel_1_2
Mathlib.Analysis.Analytic.IteratedFDeriv
[ "Mathlib.Tactic.Abel.const_add_termg", "Mathlib.Tactic.Abel.term_atomg", "NegZeroClass.toNeg", "NormedCommRing.toSeminormedCommRing", "Mathlib.Meta.NormNum.instAddMonoidWithOne", "Pi.instNeg", "NormedSpace.toIsBoundedSMul", "UniformContinuousConstSMul.to_continuousConstSMul", "Mathlib.Tactic.Abel.ze...
false
SSet.strongAnodyneExtensions_le_anodyneExtensions
Mathlib.AlgebraicTopology.SimplicialSet.AnodyneExtensions.Basic
[ "Eq.mpr", "CategoryTheory.MorphismProperty", "SSet.Subcomplex.range", "CategoryTheory.Functor", "Opposite", "ChainCompletePartialOrder.instOfCompleteLattice", "CategoryTheory.Mono", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "CategoryTheory.MorphismProperty.instCompleteBooleanAlgebra"...
true
USize.toBitVec_zsmul
Mathlib.Data.UInt
[ "Int.cast", "Eq.mpr", "instHSMul", "USize.toBitVec_intCast", "HMul.hMul", "AddGroupWithOne.toAddGroup", "congrArg", "HMul", "Lean.Grind.IntModule.zsmul", "BitVec", "Eq.rec", "USize.intCast", "id", "USize.toBitVec_mul", "BitVec.ofInt", "Int", "instMulUSize", "System.Platform.numBits...
true
MeasureTheory.IsSetSemiring.pairwiseDisjoint_union_disjointOfDiffUnion
Mathlib.MeasureTheory.SetSemiring
[ "Eq.mpr", "CompleteBooleanAlgebra.toCompleteDistribLattice", "congrArg", "Finset", "Set.PairwiseDisjoint", "Set.sUnion", "Disjoint", "Membership.mem", "CompleteLattice.toConditionallyCompleteLattice", "Set.instUnion", "MeasureTheory.IsSetSemiring.disjoint_sUnion_disjointOfDiffUnion", "id", "...
true
PrimeSpectrum.iSup_basicOpen_eq_top_iff
Mathlib.RingTheory.Spectrum.Prime.Topology
[ "Eq.mpr", "TopologicalSpace.Opens.coe_iSup", "Lattice.toSemilatticeSup", "Semiring.toModule", "PrimeSpectrum.zeroLocus", "PrimeSpectrum.basicOpen", "CompleteLattice.toLattice", "TopologicalSpace.Opens.instCompleteLattice", "congrArg", "CommSemiring.toSemiring", "iSup", "Set.iInter", "Compl.c...
true
CategoryTheory.isIso_iff_mono_and_epi
Mathlib.CategoryTheory.Balanced
[ "CategoryTheory.IsIso", "CategoryTheory.Epi", "CategoryTheory.Mono", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "inferInstance", "CategoryTheory.IsSplitMono.of_iso", "CategoryTheory.IsSplitEpi.of_iso", "And", "Iff", "CategoryTheory.IsSplitEpi.epi", "And.intro", "Iff.intro", "C...
true
String.Legacy.Iterator._aux_Init_Data_String_Iterator___macroRules_tacticDecreasing_trivial_2
Init.Data.String.Iterator
[ "Pure.pure", "Lean.MonadRef.mkInfoFromRefPos", "Lean.Syntax.ident", "instMonadExceptOfMonadExceptOf", "String", "Lean.SourceInfo", "MonadExcept.throw", "Lean.Syntax.isOfKind", "EStateM.instMonad", "Lean.Macro.Exception", "Lean.Syntax.atom", "Lean.TSyntax.mk", "Lean.Syntax", "ReaderT.instMo...
false
Polynomial.instGroupGal
Mathlib.FieldTheory.PolynomialGaloisGroup
[ "Polynomial.instGroupGal._proof_21", "Polynomial.instGroupGal._aux_17", "Mul.mk", "One.mk", "Polynomial.instGroupGal._proof_20", "Polynomial.instGroupGal._proof_7", "Polynomial.Gal", "Polynomial.instGroupGal._aux_1", "DivInvMonoid.mk", "Semigroup.mk", "Group", "Polynomial.instGroupGal._proof_1...
true
frequently_nhdsWithin_iff
Mathlib.Topology.NhdsWithin
[ "congrArg", "nhdsWithin", "Membership.mem", "nhds", "_private.Mathlib.Topology.NhdsWithin.0.frequently_nhdsWithin_iff._simp_1_1", "Filter.instInf", "Filter.Frequently", "iff_self", "TopologicalSpace", "funext", "And", "Iff", "True", "Iff.trans", "of_eq_true", "Filter.principal", "con...
true
_private.Init.Data.SInt.Lemmas.0.Int32.minValue_le._simp_1_1
Init.Data.SInt.Lemmas
[ "instLEInt32", "Int", "LE.le", "Int32.toInt", "Int32.le_iff_toInt_le", "propext", "Eq", "Int32", "Int.instLEInt" ]
false
threeGPFree_insert
Mathlib.Combinatorics.Additive.AP.Three.Defs
[ "HMul.hMul", "CommMonoid.toCommSemigroup", "Monoid.toMulOneClass", "congrArg", "IsCancelMul", "Membership.mem", "Eq.mp", "MulOne.toMul", "Insert.insert", "CommMagma.toMul", "IsCancelMul.toIsRightCancelMul", "Or.casesOn", "And.casesOn", "ThreeGPFree.mono", "MulOneClass.toMulOne", "And",...
true
Lean.Compiler.LCNF.SimpleGroundExpr.string
Lean.Compiler.LCNF.SimpleGroundExpr
[ "Lean.Compiler.LCNF.SimpleGroundExpr.string", "String", "Lean.Compiler.LCNF.SimpleGroundExpr" ]
true
_private.Batteries.Data.AssocList.0.Batteries.AssocList.toList.match_1.eq_2
Batteries.Data.AssocList
[ "Batteries.AssocList.toList.match_1", "Batteries.AssocList", "Unit", "Batteries.AssocList.cons", "Eq.refl", "Eq", "Batteries.AssocList.nil" ]
true
_private.Mathlib.AlgebraicGeometry.Morphisms.FiniteType.0.AlgebraicGeometry.essentiallySmall_costructuredArrow_Spec._simp_1_5
Mathlib.AlgebraicGeometry.Morphisms.FiniteType
[ "AlgebraicGeometry.Spec", "AlgebraicGeometry.Scheme", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "CommRingCat", "AlgebraicGeometry.Spec.map", "CommRingCat.instCategory", "AlgebraicGeometry.Spec.map_comp_assoc", "CategoryTheory.CategoryStruct.comp", "CategoryTheory.Category.toCategoryS...
false
Equiv.Perm.IsSwap
Mathlib.GroupTheory.Perm.Support
[ "Equiv.swap", "Exists", "Ne", "And", "Equiv.Perm", "Eq", "DecidableEq" ]
true
Matrix.vecMul_smul
Mathlib.Data.Matrix.Mul
[ "Matrix.smul", "instHSMul", "instSMulOfMul", "Matrix", "AddMonoid.toAddZeroClass", "Matrix.vecMul", "AddZeroClass.toAddZero", "Function.hasSMul", "DistribSMul.toSMulZeroClass", "NonUnitalNonAssocSemiring.toAddCommMonoid", "AddZero.toZero", "funext", "Fintype", "dotProduct_smul", "Distrib...
true
CategoryTheory.ObjectProperty.IsVerdierRightLocalizing.mk._flat_ctor
Mathlib.CategoryTheory.Triangulated.LocalizingSubcategory
[ "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "Exists", "CategoryTheory.ObjectProperty.IsVerdierRightLocalizing.mk", "And", "CategoryTheory.CategoryStruct.comp", "CategoryTheory.Category.toCategoryStruct", "Eq", "CategoryTheory.ObjectProperty", "CategoryTheory.Category", "CategoryTheor...
false
Ultrafilter.comap_comap
Mathlib.Order.Filter.Ultrafilter.Defs
[ "Function.comp", "Membership.mem", "Function.Injective.comp", "Filter.comap_comap", "Ultrafilter.comap", "Ultrafilter.comap_comap._proof_1", "Set.range", "Function.Injective", "Ultrafilter.coe_injective", "optParam", "Ultrafilter.instMembershipSet", "Ultrafilter", "Eq", "Ultrafilter.toFilt...
true
TopologicalSpace.Closeds.coe_sInf._simp_1
Mathlib.Topology.Sets.Closeds
[ "Set.iInter", "Membership.mem", "CompleteLattice.toConditionallyCompleteLattice", "TopologicalSpace.Closeds.instSetLike", "TopologicalSpace", "TopologicalSpace.Closeds.instCompleteLattice", "SetLike.coe", "ConditionallyCompleteLattice.toConditionallyCompletePartialOrder", "ConditionallyCompleteParti...
false
_private.Init.Data.Int.Linear.0.Int.Linear.gcd
Init.Data.Int.Linear
[ "Int.gcd", "Int.ofNat", "Int" ]
true
MeasurableSpace.GenerateMeasurable
Mathlib.MeasureTheory.MeasurableSpace.Defs
[ "MeasurableSpace.GenerateMeasurable.iUnion", "MeasurableSpace.GenerateMeasurable.basic", "MeasurableSpace.GenerateMeasurable.compl", "MeasurableSpace.GenerateMeasurable.empty", "Set" ]
true
Set.sUnion_symmDiff_subset
Mathlib.Data.Set.Lattice
[ "Lattice.toSemilatticeSup", "CompleteLattice.toLattice", "Set.sUnion", "SemilatticeSup.toMax", "HasSubset.Subset", "sSup_symmDiff_le", "Set.Nonempty", "CompleteBooleanAlgebra.toCompleteLattice", "Set.image", "CompleteAtomicBooleanAlgebra.toCompleteBooleanAlgebra", "Set.instCompleteAtomicBooleanA...
true
Nat.getElem?_toList_roc_eq_some
Init.Data.Range.Polymorphic.NatLemmas
[ "GetElem?.toGetElem", "congrArg", "HSub.hSub", "List.instGetElem?NatLtLength", "Option.some", "Std.Roc.toList", "instSubNat", "instOfNatNat", "instLENat", "GetElem.getElem", "Std.PRange.instLawfulUpwardEnumerableLENat", "List", "instHAdd", "instHSub", "Std.Roc.length_toList", "HAdd.hAd...
true
CategoryTheory.Limits.FormalCoproduct.homPullbackEquiv_symm_apply_φ
Mathlib.CategoryTheory.Limits.FormalCoproducts.Basic
[ "CategoryTheory.Limits.FormalCoproduct", "Equiv.instEquivLike", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "Function.Pullback", "CategoryTheory.eqToHom", "CategoryTheory.Limits.WidePullbackShape.category", "Equiv", "Subtype", "Prod.mk", "CategoryTheory.Limits.FormalCoproduct.homPull...
true
Filter.blimsup_false
Mathlib.Order.LiminfLimsup
[ "sInf_univ", "False", "Lattice.toSemilatticeSup", "CompleteLattice.toLattice", "congrArg", "Set.univ", "Filter.Eventually", "OrderBot.toBot", "PartialOrder.toPreorder", "setOf", "Preorder.toLE", "SemilatticeInf.toPartialOrder", "CompleteLattice.toConditionallyCompleteLattice", "CompleteLat...
true
Filter.isGLB_sInf
Mathlib.Order.Filter.Basic
[ "isLUB_lowerBounds", "Filter.instSupSet", "lowerBounds", "Filter.sSup_lowerBounds", "Filter.instInfSet", "PartialOrder.toPreorder", "Preorder.toLE", "Eq.rec", "IsGLB", "IsLUB", "Iff.mp", "Filter.isLUB_sSup", "Eq", "InfSet.sInf", "Filter", "SupSet.sSup", "Filter.instPartialOrder", "...
true
Nonneg.conditionallyCompleteLinearOrderBot._proof_1
Mathlib.Algebra.Order.Nonneg.Lattice
[ "Eq.mpr", "Inhabited.default", "False", "le_rfl", "Set.Ici", "congrArg", "OrderBot.toBot", "PartialOrder.toPreorder", "false_and", "Classical.propDecidable", "Preorder.toLE", "Membership.mem", "bddAbove_empty._simp_2", "Set.Elem", "id", "Subtype", "Bot.bot", "LE.le", "Conditional...
false
_private.Init.Data.BitVec.Lemmas.0.BitVec.getMsb?_of_ge._proof_1_1
Init.Data.BitVec.Lemmas
[ "False", "Lean.Omega.Constraint.not_sat'_of_isImpossible", "of_decide_eq_true", "le_of_le_of_eq", "Lean.Omega.Constraint.mk", "Lean.Omega.Constraint.combine_sat'", "Int.add_one_le_of_lt", "HSub.hSub", "Lean.Omega.Int.add_congr", "Lean.Omega.LinearCombo.eval", "Option.some", "id", "instDecida...
false
Differential.algEquiv_deriv'
Mathlib.RingTheory.Derivation.MapCoeffs
[ "Derivation", "IsDomain", "CommRing", "NonUnitalCommRing.toNonUnitalNonAssocCommRing", "Semiring.toModule", "CommRing.toNonUnitalCommRing", "Equiv.nontrivial", "AlgEquiv.toAlgHom", "CommSemiring.toSemiring", "Algebra", "Differential", "NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring", "Int...
true
_private.Mathlib.LinearAlgebra.TensorProduct.DirectLimit.0.«_aux_Mathlib_LinearAlgebra_TensorProduct_DirectLimit___macroRules__private_Mathlib_LinearAlgebra_TensorProduct_DirectLimit_0_term_▷__1»
Mathlib.LinearAlgebra.TensorProduct.DirectLimit
[ "Pure.pure", "Lean.Syntax.node", "Lean.TSyntax", "Lean.MonadRef.mkInfoFromRefPos", "Lean.Name.mkNum", "Lean.Syntax.ident", "instMonadExceptOfMonadExceptOf", "String", "Lean.SourceInfo", "MonadExcept.throw", "Lean.Syntax.isOfKind", "EStateM.instMonad", "Lean.Macro.Exception", "Array.mkArray...
false
_private.Mathlib.Algebra.Order.Invertible.0.invOf_nonpos._simp_1_1
Mathlib.Algebra.Order.Invertible
[ "Preorder.toLT", "LinearOrder", "PartialOrder.toPreorder", "Preorder.toLE", "LE.le", "not_lt", "LT.lt", "propext", "Eq.symm", "LinearOrder.toPartialOrder", "Eq", "Not" ]
false
Finpartition.nonempty_of_mem_parts
Mathlib.Order.Partition.Finpartition
[ "Iff.mpr", "Finset", "Membership.mem", "Ne", "Finset.nonempty_iff_ne_empty", "Finpartition.parts", "Finset.instEmptyCollection", "Finset.instSetLike", "Finset.instLattice", "Finpartition.ne_bot", "Finset.Nonempty", "EmptyCollection.emptyCollection", "Finset.instOrderBot", "Finpartition", ...
true
Std.Tactic.BVDecide.BVExpr.bitblast.OverflowInput
Std.Tactic.BVDecide.Bitblast.BVExpr.Circuit.Impl.Carry
[ "Std.Tactic.BVDecide.BVExpr.bitblast.OverflowInput.mk", "Std.Sat.AIG", "Hashable", "DecidableEq" ]
true
Bool.true_eq
Init.Data.Bool
[ "False", "congrArg", "Bool.false_eq_true", "Bool.true_eq_false", "Bool.true", "Bool.casesOn", "congr", "True", "eq_self", "Bool", "of_eq_true", "Eq.ndrec", "Eq.refl", "Eq.symm", "Bool.false", "Eq", "Eq.trans" ]
true
cfcHomSuperset.congr_simp
Mathlib.Analysis.CStarAlgebra.ContinuousFunctionalCalculus.Continuity
[ "spectrum", "Ring.toNonAssocRing", "CommSemiring.toSemiring", "IsTopologicalSemiring", "ContinuousStar", "ContinuousMap", "PseudoMetricSpace.toUniformSpace", "Algebra", "Membership.mem", "Eq.rec", "Set.Elem", "Algebra.id", "ContinuousMap.instSemiringOfIsTopologicalSemiring", "NonUnitalNonA...
true
_private.Lean.Meta.Tactic.Simp.BuiltinSimprocs.Char.0._regBuiltin.Char.Nat.reduceDigitCharEq.declare_128._@.Lean.Meta.Tactic.Simp.BuiltinSimprocs.Char.3666384508._hygCtx._hyg.23
Lean.Meta.Tactic.Simp.BuiltinSimprocs.Char
[ "IO", "Lean.Meta.DiscrTree.Key.star", "Lean.Name.mkStr3", "Lean.Meta.DiscrTree.Key", "instOfNatNat", "List.toArray", "List.cons", "Char.Nat.reduceDigitCharEq", "Unit", "Nat", "Lean.Meta.Simp.registerBuiltinSimproc", "Lean.Name.mkStr2", "OfNat.ofNat", "Lean.Name.mkStr1", "Lean.Meta.DiscrT...
false
IsBoundedLinearMap.toLinearMap
Mathlib.Analysis.Normed.Operator.BoundedLinearMaps
[ "SeminormedAddCommGroup", "AddCommGroup.toAddCommMonoid", "LinearMap", "IsBoundedLinearMap", "SeminormedAddCommGroup.toAddCommGroup", "Semiring", "IsBoundedLinearMap.toIsLinearMap", "Module", "IsLinearMap.mk'", "RingHom.id", "Semiring.toNonAssocSemiring" ]
true
CategoryTheory.Limits.Multifork.toPiFork_π_app_zero
Mathlib.CategoryTheory.Limits.Shapes.Multiequalizer
[ "CategoryTheory.Limits.MulticospanShape.L", "CategoryTheory.Limits.MulticospanIndex.sndPiMapOfIsLimit", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "CategoryTheory.Limits.WalkingParallelPair", "CategoryTheory.Limits.WalkingMulticospan.instSmallCategory", "CategoryTheory.Limits.Fan", "Categ...
true