name
stringlengths
2
347
module
stringlengths
6
90
deps
listlengths
0
686
allowCompletion
bool
2 classes
IO.Error.illegalOperation.sizeOf_spec
Init.System.IOError
[ "String", "instOfNatNat", "instHAdd", "HAdd.hAdd", "Nat", "SizeOf.sizeOf", "instAddNat", "String._sizeOf_inst", "UInt32", "Eq.refl", "UInt32._sizeOf_inst", "IO.Error", "OfNat.ofNat", "Eq", "IO.Error.illegalOperation", "IO.Error._sizeOf_inst" ]
true
ENNReal.div_eq_div_iff
Mathlib.Data.ENNReal.Inv
[ "Eq.mpr", "instHDiv", "HMul.hMul", "Monoid.toMulOneClass", "congrArg", "CommSemiring.toSemiring", "Iff.rfl", "mul_div_assoc", "Eq.rec", "id", "MulOne.toMul", "HDiv.hDiv", "DivInvMonoid.toMonoid", "Ne", "ENNReal.instCommSemiring", "eq_comm", "instZeroENNReal", "MulOneClass.toMulOne"...
true
_private.Mathlib.Topology.Order.LeftRightNhds.0.TFAE_mem_nhdsGE.match_1_1
Mathlib.Topology.Order.LeftRightNhds
[ "Set.Ioc", "LinearOrder", "PartialOrder.toPreorder", "Membership.mem", "Exists", "SemilatticeInf.toPartialOrder", "DistribLattice.toLattice", "HasSubset.Subset", "Set.Ico", "And.casesOn", "And", "Exists.casesOn", "And.intro", "Exists.intro", "Set.instMembership", "instDistribLatticeOfL...
false
CategoryTheory.ObjectProperty.instIsTriangulatedMinOfIsClosedUnderIsomorphisms
Mathlib.CategoryTheory.Triangulated.Subcategory
[ "CategoryTheory.ObjectProperty.IsTriangulated.toContainsZero", "CategoryTheory.ObjectProperty.IsTriangulated.toIsTriangulatedClosed₂", "CategoryTheory.ObjectProperty.IsTriangulated.toIsStableUnderShift", "CategoryTheory.Functor.Additive", "Pi.instMinForall_mathlib", "CategoryTheory.shiftFunctor", "Prop....
true
CauSeq.Completion.Cauchy.ring._proof_32
Mathlib.Algebra.Order.CauSeq.Completion
[ "LinearOrder", "CauSeq.Completion.Cauchy", "IsStrictOrderedRing", "SemilatticeInf.toPartialOrder", "DistribLattice.toLattice", "CauSeq.Completion.mk", "Field.toSemifield", "CauSeq.instAdd", "CauSeq.Completion.mk_add", "instHAdd", "CauSeq.Completion.instAddCauchy", "Semifield.toDivisionSemiring...
false
FourierPair.fourierInv_fourier_eq
Mathlib.Analysis.Fourier.Notation
[ "FourierTransform", "FourierTransformInv.fourierInv", "FourierTransform.fourier", "Eq", "FourierPair", "FourierTransformInv" ]
true
Complex.log_zero
Mathlib.Analysis.SpecialFunctions.Complex.Log
[ "Norm.norm", "NormedCommRing.toSeminormedCommRing", "Complex.log", "Real", "NonUnitalCommRing.toNonUnitalNonAssocCommRing", "HMul.hMul", "Complex.instNormedAddCommGroup", "Real.instZero", "congrArg", "MulZeroClass.zero_mul", "AddMonoid.toAddZeroClass", "Complex.instNormedField", "norm_zero",...
true
CategoryTheory.Functor.rightDerived_fac_assoc
Mathlib.CategoryTheory.Functor.Derived.RightDerived
[ "CategoryTheory.MorphismProperty", "CategoryTheory.Category.assoc", "CategoryTheory.Functor", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "congrArg", "CategoryTheory.Functor.rightDerivedDesc", "CategoryTheory.Functor.category", "CategoryTheory.Functor.comp", "Eq.mp", "CategoryTheory....
true
PadicInt.instIsDiscreteValuationRing
Mathlib.NumberTheory.Padics.PadicIntegers
[ "IsDiscreteValuationRing.ofHasUnitMulPowIrreducibleFactorization", "NormedCommRing.toNormedRing", "NonUnitalNonAssocCommRing.toNonUnitalNonAssocCommSemiring", "Units.val", "Eq.mpr", "Nat.Prime", "NonUnitalCommRing.toNonUnitalNonAssocCommRing", "NormedRing.toRing", "HMul.hMul", "CommRing.toNonUnita...
true
DivInvMonoid.mk
Mathlib.Algebra.Group.Defs
[ "Monoid", "Semigroup.toMul", "instHDiv", "Inv", "HMul.hMul", "DivInvMonoid.mk", "HDiv.hDiv", "Div", "Int", "DivInvMonoid.div_eq_mul_inv._autoParam", "Nat.cast", "autoParam", "DivInvMonoid", "Inv.inv", "instOfNat", "Nat", "Monoid.toSemigroup", "One.toOfNat1", "Monoid.toOne", "in...
true
CategoryTheory.PreservesImage.hom_comp_map_image_ι
Mathlib.CategoryTheory.Limits.Preserves.Shapes.Images
[ "CategoryTheory.Limits.MonoFactorisation.I", "CategoryTheory.Limits.factorThruImage", "Eq.mpr", "CategoryTheory.Limits.HasImages.has_image", "CategoryTheory.Functor", "CategoryTheory.Limits.WalkingSpan", "CategoryTheory.Limits.PreservesLimit", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", ...
true
Lean.Meta.ExtractLets.LocalDecl'.noConfusion
Lean.Meta.Tactic.Lets
[ "Lean.Meta.ExtractLets.LocalDecl'.noConfusionType", "Lean.Meta.ExtractLets.LocalDecl'", "Bool", "Eq.ndrec", "Eq.refl", "Lean.LocalDecl", "Lean.Meta.ExtractLets.LocalDecl'.casesOn", "Eq" ]
false
Std.ExtTreeMap.getElem?_congr
Std.Data.ExtTreeMap.Lemmas
[ "Membership.mem", "Ordering", "Ordering.eq", "Std.TransCmp", "Std.ExtTreeMap", "Std.ExtTreeMap.inner", "Std.ExtDTreeMap.Const.get?_congr", "Std.ExtTreeMap.instGetElem?Mem", "Std.ExtTreeMap.instMembershipOfTransCmp", "GetElem?.getElem?", "Eq", "Option" ]
true
Sym.eq_nil_of_card_zero
Mathlib.Data.Sym.Basic
[ "Multiset.card_eq_zero", "Sym.nil", "Multiset", "instOfNatNat", "Nat", "Sym", "Iff.mp", "Zero.toOfNat0", "Multiset.card", "OfNat.ofNat", "Subtype.val", "Eq", "Subtype.property", "Subtype.ext", "Multiset.instZero" ]
true
_private.Mathlib.Analysis.InnerProductSpace.MeanErgodic.0.«_aux_Mathlib_Analysis_InnerProductSpace_MeanErgodic___macroRules__private_Mathlib_Analysis_InnerProductSpace_MeanErgodic_0_term⟪_,_⟫_1»
Mathlib.Analysis.InnerProductSpace.MeanErgodic
[ "Pure.pure", "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", "Lean.TSyntax.mk", "Lean.Syntax", ...
false
Lean.KeyedDeclsAttribute.OLeanEntry._sizeOf_1
Lean.KeyedDeclsAttribute
[ "Lean.KeyedDeclsAttribute.OLeanEntry.rec", "instOfNatNat", "instHAdd", "HAdd.hAdd", "Lean.instSizeOfName", "Nat", "SizeOf.sizeOf", "instAddNat", "Lean.Name", "OfNat.ofNat", "Lean.KeyedDeclsAttribute.OLeanEntry", "Lean.KeyedDeclsAttribute.Key" ]
false
Std.TreeMap.Raw.getEntryGED
Std.Data.TreeMap.Raw.Basic
[ "Std.DTreeMap.Raw.Const.getEntryGED", "Ordering", "Std.TreeMap.Raw.inner", "Std.TreeMap.Raw", "Prod" ]
true
_private.Mathlib.Order.Filter.Bases.Basic.0.Filter.HasBasis.sup_pure._simp_1_1
Mathlib.Order.Filter.Bases.Basic
[ "Pure.pure", "Set.instSingletonSet", "Filter.instPure", "Filter.principal_singleton", "Filter.principal", "Singleton.singleton", "Eq.symm", "Eq", "Filter", "Set" ]
false
CategoryTheory.Preadditive.mk.noConfusion
Mathlib.CategoryTheory.Preadditive.Basic
[ "CategoryTheory.Preadditive.mk", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "AddCommGroup.toAddCommMonoid", "HEq.refl", "CategoryTheory.Preadditive.add_comp._autoParam", "CategoryTheory.Preadditive.noConfusion", "AddCommGroup", "id", "autoParam", "CategoryTheory.Preadditive", "ins...
false
CategoryTheory.Limits.IsLimit.binaryFanSwap
Mathlib.CategoryTheory.Limits.Shapes.BinaryProducts
[ "CategoryTheory.Limits.BinaryFan.swap", "CategoryTheory.Limits.Cone.π", "CategoryTheory.Functor", "CategoryTheory.Limits.IsLimit.mk", "CategoryTheory.Limits.Cone", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "CategoryTheory.Limits.BinaryFan", "CategoryTheory.Functor.category", "Categor...
true
AffineMap.ofMapMidpoint._proof_1
Mathlib.Analysis.Normed.Affine.AddTorsor
[ "Real", "SeminormedAddGroup.toAddGroup", "SeminormedAddCommGroup", "NormedSpace", "congrArg", "AffineEquiv.vaddConst", "NormedSpace.toModule", "AddMonoid.toAddZeroClass", "AffineEquiv.equivLike", "AddCommGroup.toAddGroup", "Function.comp", "AddZeroClass.toAddZero", "AddTorsor.nonempty", "a...
false
CategoryTheory.Bicategory.Adjunction.homEquiv₂.eq_1
Mathlib.CategoryTheory.Bicategory.Adjunction.Cat
[ "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "CategoryTheory.Bicategory.Adjunction.homEquiv₂._proof_7", "CategoryTheory.Bicategory.rightUnitor", "CategoryTheory.CategoryStruct.id", "Equiv.mk", "CategoryTheory.Bicategory.whiskerRight", "Equiv", "CategoryTheory.Bicategory.toCategoryStruct",...
true
CategoryTheory.yonedaEquiv_symm_naturality_right
Mathlib.CategoryTheory.Yoneda
[ "CategoryTheory.Functor", "Equiv.apply_symm_apply", "Opposite", "Equiv.instEquivLike", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "congrArg", "CategoryTheory.Functor.category", "CategoryTheory.yoneda", "Equiv", "Opposite.op", "congr", "True", "eq_self", "CategoryTheory.types...
true
Nat.prod_primeFactorsList
Mathlib.Data.Nat.Factors
[ "Eq.mpr", "False", "Nat.instMulZeroClass", "instHDiv", "HMul.hMul", "Nat.instOne", "MulZeroClass.toMul", "congrArg", "MulZeroClass.zero_mul", "InvImage", "Nat.instAtLeastTwoHAddOfNat", "Nat.add_eq_zero_iff._simp_1", "Nat.factors_lemma", "WellFounded.Nat.fix", "Nat.instCharZero", "OfNat...
true
_private.Lean.Elab.Tactic.NormCast.0.Lean.Elab.Tactic.NormCast.splittingProcedure.match_14
Lean.Elab.Tactic.NormCast
[ "Lean.Expr", "Nat.hasNotBit", "Lean.Expr.app", "_private.Lean.Elab.Tactic.NormCast.0.Lean.Elab.Tactic.NormCast.isNumeral?._sparseCasesOn_1", "Lean.Expr.ctorIdx" ]
false
SimplexCategory.Truncated.δ₂_one_comp_σ₂_zero
Mathlib.AlgebraicTopology.SimplexCategory.Truncated
[ "CategoryTheory.ObjectProperty.FullSubcategory.mk", "instNeZeroNatHAdd_1", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "SimplexCategory.Truncated.δ₂", "SimplexCategory.Truncated.σ₂", "SimplexCategory.Truncated.δ₂_one_comp_σ₂_zero._auto_1", "CategoryTheory.CategoryStruct.id", "Fin.instOfN...
true
instContinuousAddULift
Mathlib.Topology.Algebra.Monoid
[ "ULift.topologicalSpace", "Continuous.comp'", "Continuous.snd", "Continuous.comp", "ULift", "continuous_uliftUp", "continuous_id'", "instTopologicalSpaceProd", "ULift.add", "Prod.fst", "TopologicalSpace", "instHAdd", "HAdd.hAdd", "continuous_uliftDown", "Continuous.fun_add", "Continuou...
true
Std.Tactic.BVDecide.LRAT.Internal.Clause.unit
Std.Tactic.BVDecide.LRAT.Internal.Clause
[ "outParam", "Std.Tactic.BVDecide.LRAT.Internal.Clause", "Std.Sat.Literal" ]
true
CochainComplex.shiftFunctorZero_inv_app_f
Mathlib.Algebra.Homology.HomotopyCategory.Shift
[ "CategoryTheory.Functor", "HomologicalComplex.instCategory", "HomologicalComplex.Hom.f", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "AddMonoid.toAddZeroClass", "CategoryTheory.Functor.category", "AddGroupWithOne.toAddMonoidWithOne", "AddRightCancelSemigroup.toAddSemigroup", "CochainCo...
true
_private.Batteries.Data.String.Lemmas.0.Substring.Raw.ValidFor.extract'._simp_1_7
Batteries.Data.String.Lemmas
[ "LE.le", "instLENat", "instHAdd", "HAdd.hAdd", "Nat.add_le_add_iff_left", "Nat", "propext", "instAddNat", "Eq" ]
false
Std.Iter.find?_eq_findSome?
Init.Data.Iterators.Lemmas.Consumers.Loop
[ "Pure.pure", "Std.Iter.find?_eq_findM?", "congrArg", "Monad.toApplicative", "Std.Iter.findSomeM?", "Std.Iter.find?", "ULift", "Std.IteratorLoop", "Option.some", "Std.Iterators.Finite", "LawfulMonad.bind_pure_comp", "instDecidableEqBool", "Id.run", "Id", "Applicative.toPure", "Std.Itera...
true
Lean.Elab.Info.ofChoiceInfo.injEq
Lean.Elab.InfoTree.Types
[ "Eq.propIntro", "Lean.Elab.Info.ofChoiceInfo.inj", "Lean.Elab.ChoiceInfo", "Eq.ndrec", "Eq.refl", "Lean.Elab.Info", "Eq", "Lean.Elab.Info.ofChoiceInfo" ]
true
Equiv.nonUnitalCommSemiring._proof_2
Mathlib.Algebra.Ring.TransferInstance
[ "Equiv.apply_symm_apply", "Equiv.instEquivLike", "Equiv", "Distrib.toAdd", "NonUnitalSemiring.toNonUnitalNonAssocSemiring", "NonUnitalCommSemiring.toNonUnitalSemiring", "instHAdd", "HAdd.hAdd", "NonUnitalNonAssocSemiring.toDistrib", "NonUnitalCommSemiring", "Equiv.symm", "Eq", "DFunLike.coe"...
false
Lean.Omega.Constraint.not_sat_of_isImpossible
Init.Omega.Constraint
[ "Int.not_le._simp_1", "Eq.mpr", "False", "Lean.Omega.UpperBound", "Lean.Omega.LowerBound", "Lean.Omega.Constraint.mk", "Lean.Omega.LowerBound.sat", "congrArg", "Decidable.decide.congr_simp", "False.elim", "Option.casesOn", "Int.decLe", "Lean.Omega.Constraint.upperBound", "noConfusion_of_Na...
true
CategoryTheory.IsVanKampenColimit
Mathlib.CategoryTheory.Limits.VanKampen
[ "CategoryTheory.Functor", "CategoryTheory.Limits.Cocone", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "CategoryTheory.IsPullback", "CategoryTheory.Functor.category", "CategoryTheory.Limits.IsColimit", "CategoryTheory.Functor.map", "CategoryTheory.NatTrans.Equifibered", "Iff", "Catego...
true
Matrix.reindex_isTotallyUnimodular
Mathlib.LinearAlgebra.Matrix.Determinant.TotallyUnimodular
[ "CommRing", "Matrix.submatrix", "Equiv.instEquivLike", "Equiv.symm_comp_self", "congrArg", "Matrix", "Function.comp", "Eq.mp", "id", "Equiv", "Matrix.IsTotallyUnimodular", "Iff", "Matrix.IsTotallyUnimodular.reindex", "congr", "Matrix.submatrix_id_id", "Iff.intro", "Matrix.submatrix_s...
true
_private.Mathlib.Analysis.SpecialFunctions.ContinuousFunctionalCalculus.PosPart.Basic.0.CFC.posPart_negPart_unique._simp_1_4
Mathlib.Analysis.SpecialFunctions.ContinuousFunctionalCalculus.PosPart.Basic
[ "outParam", "StarHomClass", "StarHomClass.map_star", "Star", "Eq.symm", "Eq", "DFunLike.coe", "FunLike", "Star.star" ]
false
IsLocallyInjective_iff_isOpenEmbedding
Mathlib.Topology.SeparatedMap
[ "Eq.mpr", "congrArg", "Function.Pullback", "isLocallyInjective_iff_isOpen_diagonal", "instTopologicalSpaceProd", "id", "IsLocallyInjective", "Topology.IsEmbedding.toPullbackDiag", "toPullbackDiag", "Prod.fst", "Topology.IsOpenEmbedding.isOpen_range", "TopologicalSpace", "Iff", "range_toPul...
true
Lean.IR.Checker.CheckerContext.mk.sizeOf_spec
Lean.Compiler.IR.Checker
[ "Lean.IR.Decl._sizeOf_inst", "Lean.IR.Checker.CheckerContext", "Lean.IR.LocalContextEntry", "Std.TreeMap._sizeOf_inst", "Lean.IR.LocalContext", "instOfNatNat", "Lean.IR.Checker.CheckerContext._sizeOf_inst", "Ord.compare", "Array._sizeOf_inst", "Array", "instHAdd", "HAdd.hAdd", "Nat", "Size...
true
instInhabitedCompactum._aux_1
Mathlib.Topology.Category.Compactum
[ "Inhabited.default", "instInhabitedSort", "CategoryTheory.ofTypeMonad", "Ultrafilter.monad", "CategoryTheory.types", "Ultrafilter.lawfulMonad", "CategoryTheory.Monad.free", "Compactum", "Ultrafilter", "CategoryTheory.Functor.obj", "CategoryTheory.Monad.Algebra.eilenbergMoore", "CategoryTheory....
false
Profinite.NobelingProof.Products.lt_ord_of_lt
Mathlib.Topology.Category.Profinite.Nobeling.Basic
[ "List.SortedGT.lt_ord_of_lt", "Profinite.NobelingProof.Products.instLinearOrder", "Preorder.toLT", "Ordinal.partialOrder", "LinearOrder", "WellFoundedLT", "PartialOrder.toPreorder", "Membership.mem", "SemilatticeInf.toPartialOrder", "DistribLattice.toLattice", "List.IsChain", "List.IsChain.sor...
true
FunctionField.FqtInfty.instField._aux_48
Mathlib.NumberTheory.FunctionField
[ "NonUnitalCommRing.toNonUnitalNonAssocCommRing", "CommRing.toNonUnitalCommRing", "instZeroCompletion", "FunctionField.FqtInfty", "UniformSpace.Completion.hatInv", "Classical.propDecidable", "NonUnitalNonAssocSemiring.toMulZeroClass", "NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring", "Field.toSemi...
false
Std.TreeMap.get_union_of_mem_right
Std.Data.TreeMap.Lemmas
[ "Std.TreeMap.inner", "Membership.mem", "Ordering", "Std.TreeMap.get", "Std.TransCmp", "Std.TreeMap.instMembership", "Std.TreeMap.mem_union_of_right", "Union.union", "Std.TreeMap.instUnion", "Eq", "Std.TreeMap", "Std.DTreeMap.Const.get_union_of_mem_right" ]
true
_private.Mathlib.Algebra.Group.Submonoid.Units.0.Subgroup.mem_units_iff_val_mem._simp_1_3
Mathlib.Algebra.Group.Submonoid.Units
[ "SetLike", "InvolutiveInv.toInv", "Membership.mem", "inv_mem_iff", "InvolutiveInv", "Inv.inv", "propext", "InvMemClass", "Eq", "SetLike.instMembership" ]
false
_private.Mathlib.Data.Num.ZNum.0.ZNum.mul_comm
Mathlib.Data.Num.ZNum
[ "NonUnitalNonAssocCommRing.toNonUnitalNonAssocCommSemiring", "Eq.mpr", "castZNum", "NonUnitalCommRing.toNonUnitalNonAssocCommRing", "HMul.hMul", "CommRing.toNonUnitalCommRing", "congrArg", "AddGroupWithOne.toAddMonoidWithOne", "NonUnitalNonAssocSemiring.toMulZeroClass", "id", "NonUnitalNonAssocR...
true
Lean.Lsp.ServerInfo._sizeOf_inst
Lean.Data.Lsp.InitShutdown
[ "Lean.Lsp.ServerInfo", "SizeOf.mk", "SizeOf", "Lean.Lsp.ServerInfo._sizeOf_1" ]
false
Function.Bijective.finite_iff
Mathlib.Data.Finite.Defs
[ "Finite", "Equiv.finite_iff", "Iff", "Equiv.ofBijective", "Function.Bijective" ]
true
IntervalIntegrable.comp_add_left_iff._auto_1
Mathlib.MeasureTheory.Integral.IntervalIntegral.Basic
[ "Lean.Syntax.node", "Array.push", "Lean.Syntax", "Array.empty", "Lean.SourceInfo.none", "Lean.Name.mkStr1", "Lean.Name.mkStr4", "Lean.mkAtom" ]
false
IsUltrametricDist.ball_openAddSubgroup.eq_1
Mathlib.Analysis.Normed.Group.Ultra
[ "AddGroup.toSubtractionMonoid", "Real", "SeminormedAddGroup.toAddGroup", "OpenAddSubgroup.mk", "Real.instZero", "IsUltrametricDist.ball_openAddSubgroup._proof_3", "IsUltrametricDist.ball_openAddSubgroup", "AddMonoid.toAddZeroClass", "SeminormedAddGroup", "PseudoMetricSpace.toUniformSpace", "Real...
true
_private.Mathlib.CategoryTheory.Limits.Types.Images.0.CategoryTheory.Limits.Types.limitOfSurjectionsSurjective.preimage._proof_1
Mathlib.CategoryTheory.Limits.Types.Images
[ "CategoryTheory.Functor", "Opposite", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom.op", "Exists", "Preorder.smallCategory", "Nat.le_succ", "CategoryTheory.Functor.map", "Nat.below", "Nat.instPreorder", "Opposite.op", "Nat", "CategoryTheory.homOfLE", "CategoryTheory.types", "Cate...
false
_private.Mathlib.Topology.Order.0.IndiscreteTopology.isClosed_iff._simp_1_2
Mathlib.Topology.Order
[ "IndiscreteTopology.isOpen_iff", "Set.univ", "IndiscreteTopology", "TopologicalSpace", "propext", "Set.instEmptyCollection", "IsOpen", "Or", "EmptyCollection.emptyCollection", "Eq", "Set" ]
false
Lean.Grind.CommRing.Mon.below
Init.Grind.Ring.CommSolver
[ "Lean.Grind.CommRing.Power", "PProd", "Lean.Grind.CommRing.Mon.rec", "PUnit", "Lean.Grind.CommRing.Mon" ]
false
_private.Mathlib.Algebra.Central.End.0.LinearEquiv.conjAlgEquiv_ext_iff._simp_1_2
Mathlib.Algebra.Central.End
[ "LinearEquiv.symm", "RingHom", "RingHomCompTriple", "LinearEquiv.eq_toLinearMap_symm_comp", "LinearMap", "AddCommMonoid", "RingHomInvPair", "LinearMap.comp", "LinearEquiv.toLinearMap", "LinearEquiv", "propext", "Semiring", "Module", "Eq.symm", "Semiring.toNonAssocSemiring", "Eq" ]
false
ValuationSubring.algebra
Mathlib.RingTheory.Valuation.AlgebraInstances
[ "Int.instAddCommGroup", "Subalgebra.instSetLike", "Int.instAddCommMonoid", "Multiplicative.linearOrder", "MulOne.toOne", "Int.instIsStrictOrderedRing", "RingHom.mk", "CommSemiring.toSemiring", "Int.instLinearOrder", "IsScalarTower", "OneHom.mk", "PartialOrder.toPreorder", "Algebra", "RingH...
true
WeierstrassCurve.Projective.addXYZ_of_Z_eq_zero_left
Mathlib.AlgebraicGeometry.EllipticCurve.Projective.Formula
[ "Eq.mpr", "CommRing", "instHSMul", "NonUnitalCommRing.toNonUnitalNonAssocCommRing", "WeierstrassCurve.Projective.addXYZ.eq_1", "HMul.hMul", "WeierstrassCurve.Projective.Equation", "CommRing.toNonUnitalCommRing", "congrArg", "CommSemiring.toSemiring", "WeierstrassCurve.Projective.addY_of_Z_eq_zer...
true
MeasureTheory.Measure.restrict_le_self
Mathlib.MeasureTheory.Measure.Restrict
[ "Iff.mpr", "Trans.trans", "MeasureTheory.Measure", "MeasurableSet", "PartialOrder.toPreorder", "MeasureTheory.Measure.restrict_apply", "Preorder.toLE", "MeasureTheory.Measure.restrict", "Set.inter_subset_left", "LE.le", "Set.instInter", "Inter.inter", "instTransEq", "MeasurableSpace", "M...
true
Int16.instUpwardEnumerable
Init.Data.Range.Polymorphic.SInt
[ "Int16.minValue_le_toInt", "Std.PRange.UpwardEnumerable.mk", "Int16", "Std.PRange.UpwardEnumerable", "Int16.instOfNat", "Int.decLe", "Option.some", "_private.Init.Data.Range.Polymorphic.SInt.0.Int16.instUpwardEnumerable._proof_3", "_private.Init.Data.Range.Polymorphic.SInt.0.Int16.minValueSealed", ...
true
instReprSymbol.repr
Mathlib.Computability.Language
[ "Symbol", "Std.Format.instAppend", "Std.Format.line", "Std.Format.group", "GE.ge", "_private.Mathlib.Computability.Language.0.instReprSymbol.repr.match_1", "instOfNatNat", "Int", "instLENat", "instHAppendOfAppend", "instOfNat", "Nat", "Std.Format", "Repr.addAppParen", "OfNat.ofNat", "R...
true
Representation.ofDistribMulAction_apply_apply
Mathlib.RepresentationTheory.Basic
[ "Monoid", "Representation.ofDistribMulAction", "instHSMul", "Representation", "MonoidHom.instFunLike", "Monoid.toMulOneClass", "DistribMulAction.toDistribSMul", "AddMonoid.toAddZeroClass", "Module.End.instSemiring", "LinearMap.instFunLike", "AddZeroClass.toAddZero", "DistribSMul.toSMulZeroClas...
true
Fin.ctorIdx
Init.Prelude
[ "Nat", "Fin" ]
false
MeasurableSpace.comap_le_comap_pi
Mathlib.MeasureTheory.MeasurableSpace.Constructions
[ "Eq.mpr", "le_refl", "MeasurableSpace.instLE", "MeasurableSpace.comap", "MeasurableSpace.comap_comp", "congrArg", "iSup", "MeasurableSpace.instPartialOrder", "PartialOrder.toPreorder", "Preorder.toLE", "Function.comp", "CompleteLattice.toConditionallyCompleteLattice", "inferInstance", "id"...
true
Equiv.addLeft
Mathlib.Algebra.Group.Units.Equiv
[ "AddMonoid.toAddZeroClass", "toAddUnits", "AddZeroClass.toAddZero", "AddGroup", "AddGroup.toSubNegMonoid", "Equiv.Perm", "AddEquiv", "AddUnits.addLeft", "AddZero.toAdd", "AddUnits.instAdd", "SubNegMonoid.toAddMonoid", "AddEquiv.instEquivLike", "DFunLike.coe", "EquivLike.toFunLike", "AddU...
true
_private.Mathlib.Algebra.Polynomial.FieldDivision.0.Polynomial.degree_mod_lt._simp_1_1
Mathlib.Algebra.Polynomial.FieldDivision
[ "NonAssocSemiring.toAddCommMonoidWithOne", "Polynomial.leadingCoeff", "AddCommMonoidWithOne.toAddMonoidWithOne", "Polynomial", "Polynomial.Monic", "AddMonoidWithOne.toOne", "propext", "Semiring", "One.toOfNat1", "Polynomial.Monic.def", "OfNat.ofNat", "Semiring.toNonAssocSemiring", "Eq" ]
false
Polynomial.lsum._proof_2
Mathlib.Algebra.Polynomial.Coeff
[ "LinearMap.map_add", "Polynomial.sum", "LinearMap.instFunLike", "LinearMap.map_zero", "Polynomial.instAdd", "LinearMap", "Polynomial", "AddCommMonoid", "NonUnitalNonAssocSemiring.toAddCommMonoid", "instHAdd", "Polynomial.sum_add_index", "HAdd.hAdd", "NonAssocSemiring.toNonUnitalNonAssocSemir...
false
Lean.Omega.Constraint.addInequality_sat
Init.Omega.Constraint
[ "Eq.mpr", "Int.zero_sub", "and_true", "Lean.Omega.Constraint.mk", "Lean.Omega.LowerBound.sat", "congrArg", "Decidable.decide.congr_simp", "HSub.hSub", "Int.decLe", "Lean.Omega.Constraint.upperBound", "Option.some", "Int.sub_left_le_of_le_add", "GE.ge", "id", "instDecidableEqBool", "Int...
true
_private.Mathlib.MeasureTheory.OuterMeasure.Caratheodory.0.MeasureTheory.OuterMeasure.top_caratheodory._simp_1_1
Mathlib.MeasureTheory.OuterMeasure.Caratheodory
[ "LE.le", "OrderTop", "LE", "OrderTop.toTop", "le_top", "True", "eq_true", "Top.top", "Eq" ]
false
Frm.instCategory._proof_3
Mathlib.Order.Category.Frm
[ "Frm.Hom", "id", "_private.Mathlib.Order.Category.Frm.0.Frm.Hom.mk", "Frm.str", "FrameHom.comp", "Frm.Hom.hom'", "Order.Frame.toCompleteLattice", "Eq.refl", "Frm.carrier", "Frm", "Eq" ]
false
Turing.PartrecToTM2.K'.elim.eq_2
Mathlib.Computability.TuringMachine.ToPartrec
[ "Turing.PartrecToTM2.K'.rev", "Turing.PartrecToTM2.Γ'", "Turing.PartrecToTM2.K'.elim", "List", "Eq.refl", "Eq" ]
true
Order.IsPredLimit.dual
Mathlib.Order.SuccPred.Limit
[ "Iff.mpr", "OrderDual.toDual", "Equiv.instEquivLike", "Order.IsSuccLimit", "Equiv", "Order.isSuccLimit_toDual_iff", "OrderDual", "OrderDual.instPreorder", "DFunLike.coe", "Preorder", "EquivLike.toFunLike", "Order.IsPredLimit" ]
true
List.«_aux_Init_Data_List_Basic___macroRules_List_term_<+__1»
Init.Data.List.Basic
[ "Pure.pure", "Lean.TSyntax", "Lean.MonadRef.mkInfoFromRefPos", "Lean.Syntax.ident", "instMonadExceptOfMonadExceptOf", "String", "Lean.SourceInfo", "MonadExcept.throw", "Lean.Syntax.isOfKind", "EStateM.instMonad", "Lean.Macro.Exception", "Lean.TSyntax.mk", "Lean.Syntax", "ReaderT.instMonad"...
false
Multiset.exists_max_image
Mathlib.Data.Finset.Max
[ "Multiset.toFinset", "Iff.mpr", "Finset", "LinearOrder", "PartialOrder.toPreorder", "Classical.propDecidable", "Preorder.toLE", "Membership.mem", "Exists", "SemilatticeInf.toPartialOrder", "Multiset", "DistribLattice.toLattice", "Finset.exists_max_image", "Ne", "LE.le", "And.casesOn", ...
true
WeierstrassCurve.Affine.CoordinateRing.basis
Mathlib.AlgebraicGeometry.EllipticCurve.Affine.Point
[ "Nontrivial", "Inhabited.default", "WeierstrassCurve.Affine.monic_polynomial", "CommRing", "NonUnitalCommRing.toNonUnitalNonAssocCommRing", "CommRing.toNonUnitalCommRing", "AdjoinRoot", "PowerBasis.dim", "Ring.toNonAssocRing", "CommSemiring.toSemiring", "WeierstrassCurve.Affine.natDegree_polynom...
true
LinOrd._sizeOf_inst
Mathlib.Order.Defs.LinearOrder
[ "LinOrd", "SizeOf.mk", "SizeOf", "LinOrd._sizeOf_1" ]
false
Option.mem_filter_iff
Init.Data.Option.Lemmas
[ "congrArg", "Option.instMembership", "Option.filter_eq_some_iff._simp_1", "Option.some", "Membership.mem", "iff_self", "Bool.true", "And", "Option.filter", "Iff", "Option.mem_def._simp_1", "congr", "True", "Bool", "of_eq_true", "congrFun'", "Eq", "Eq.trans", "Option" ]
true
NumberField.RingOfIntegers.instSMulDistribClass
Mathlib.NumberTheory.NumberField.Basic
[ "NumberField.RingOfIntegers.instMulSemiringAction", "GroupWithZero.toMonoidWithZero", "NumberField.instCommRingRingOfIntegers", "DistribMulAction.toDistribSMul", "AddMonoid.toAddZeroClass", "SMulDistribClass", "NumberField.RingOfIntegers.instAlgebra_1", "AddGroupWithOne.toAddMonoidWithOne", "Group",...
true
Lean.Meta.Grind.Methods.mk.sizeOf_spec
Lean.Meta.Tactic.Grind.Types
[ "Lean.Meta.Grind.Methods.mk", "Lean.Meta.Grind.Propagator", "instOfNatNat", "Lean.Meta.Grind.EvalTactic", "Lean.Meta.Grind.Methods", "Nat", "SizeOf.sizeOf", "Eq.refl", "Lean.Meta.Grind.Methods._sizeOf_inst", "OfNat.ofNat", "Eq" ]
true
Lean.Meta.Origin.other.sizeOf_spec
Lean.Meta.Tactic.Simp.SimpTheorems
[ "Lean.Meta.Origin.other", "instOfNatNat", "instHAdd", "HAdd.hAdd", "Lean.instSizeOfName", "Nat", "Lean.Meta.Origin._sizeOf_inst", "SizeOf.sizeOf", "instAddNat", "Lean.Name", "Eq.refl", "OfNat.ofNat", "Lean.Meta.Origin", "Eq" ]
true
iteratedDeriv_const_smul
Mathlib.Analysis.Calculus.IteratedDeriv.Lemmas
[ "Iff.mpr", "ContDiffAt", "NormedCommRing.toSeminormedCommRing", "instHSMul", "NonUnitalCommRing.toNonUnitalNonAssocCommRing", "NormedSpace", "IsTopologicalRing.toIsTopologicalSemiring", "ENat.instNatCast", "contDiffWithinAt_univ", "congrArg", "DistribMulAction.toDistribSMul", "IsTopologicalSem...
true
isAddRightRegular_toDual
Mathlib.Algebra.Order.Group.Synonym
[ "OrderDual.toDual", "IsAddRightRegular", "Equiv.instEquivLike", "Iff.rfl", "AddMonoid.toAddZeroClass", "AddZeroClass.toAddZero", "Equiv", "Iff", "AddMonoid", "AddZero.toAdd", "OrderDual", "OrderDual.instAdd", "DFunLike.coe", "EquivLike.toFunLike" ]
true
_private.Lean.Meta.Tactic.Grind.AC.PP.0.Lean.Meta.Grind.AC.instMonadGetStructM
Lean.Meta.Tactic.Grind.AC.PP
[ "_private.Lean.Meta.Tactic.Grind.AC.PP.0.Lean.Meta.Grind.AC.M", "MonadState.get", "Lean.Meta.Grind.AC.MonadGetStruct", "Lean.Meta.MetaM", "Lean.Meta.instMonadMetaM", "instMonadStateOfStateTOfMonad", "instMonadStateOfMonadStateOf", "Lean.Meta.Grind.AC.Struct", "Lean.Meta.Grind.AC.MonadGetStruct.mk" ]
true
Filter.eventually_all_finset
Mathlib.Order.Filter.Finite
[ "Set.Finite.eventually_all", "Finset", "Filter.Eventually", "Membership.mem", "Iff", "SetLike.coe", "Finset.instSetLike", "Finset.finite_toSet", "SetLike.instMembership", "Filter" ]
true
_private.Batteries.Data.RBMap.WF.0.Batteries.RBNode.append.match_1.eq_5
Batteries.Data.RBMap.WF
[ "Batteries.RBNode", "Batteries.RBNode.append.match_1", "Batteries.RBNode.nil", "Batteries.RBColor.red", "Eq.refl", "Batteries.RBColor.black", "Batteries.RBNode.node", "Eq" ]
true
_private.Mathlib.Algebra.BigOperators.Group.Finset.Piecewise.0.Finset.prod_dite_of_true._proof_1_6
Mathlib.Algebra.BigOperators.Group.Finset.Piecewise
[ "Lean.Grind.nestedProof", "HEq.refl", "Finset", "Membership.mem", "Eq.rec", "_private.Mathlib.Algebra.BigOperators.Group.Finset.Piecewise.0.Finset.prod_dite_of_true._proof_1_5", "Subtype.mk", "Finset.instSetLike", "True", "eq_true", "of_eq_true", "eq_of_heq", "Eq.refl", "HEq", "Subtype.v...
false
LinearMap.addCommGroup._proof_1
Mathlib.Algebra.Module.LinearMap.Defs
[ "DistribMulAction.toDistribSMul", "AddCommGroup.toAddCommMonoid", "AddMonoid.toAddZeroClass", "AddCommGroup.toAddGroup", "AddZeroClass.toAddZero", "AddCommGroup", "DistribSMul.toSMulZeroClass", "Int", "AddGroup.int_smulCommClass'", "AddZero.toZero", "AddGroup.toSubNegMonoid", "Semiring", "Mo...
false
_private.Lean.Meta.Tactic.AC.Main.0.Lean.Meta.AC.toACExpr.toPreExpr
Lean.Meta.Tactic.AC.Main
[ "Pure.pure", "Lean.Expr.brecOn", "_private.Lean.Meta.Tactic.AC.Main.0.Lean.Meta.AC.toACExpr.toPreExpr.match_1", "StateT.instMonadLift", "ReaderT", "modify", "Lean.Expr.instBEq", "Lean.Meta.State", "instMonadLiftT", "Lean.Meta.AC.PreExpr", "namedPattern", "Lean.Expr", "Lean.Meta.MetaM", "IO...
true
_private.Init.Data.Range.Polymorphic.Lemmas.0.Std.Roo.succ_mem_succ_succ_iff._simp_1_1
Init.Data.Range.Polymorphic.Lemmas
[ "Std.PRange.UpwardEnumerable", "Std.PRange.LawfulUpwardEnumerableLT", "Membership.mem", "Exists", "Std.PRange.LinearlyUpwardEnumerable", "Std.Roo.instMembershipOfLT", "Std.Rxo.IsAlwaysFinite", "And", "Std.PRange.InfinitelyUpwardEnumerable", "propext", "Eq", "DecidableLT", "LT", "Std.Roo", ...
false
Unitization.instSemiring
Mathlib.Algebra.Algebra.Unitization
[ "NonAssocSemiring.toAddCommMonoidWithOne", "Monoid.npow", "CommSemiring.toSemiring", "DistribMulAction.toDistribSMul", "instDistribSMul", "IsScalarTower", "AddMonoid.toAddZeroClass", "Unitization.instSemiring._proof_2", "Unitization.instSemiring._proof_4", "NonUnitalNonAssocSemiring.toMulZeroClass...
true
Batteries.PairingHeapImp.instDecidableNoSibling
Batteries.Data.PairingHeap
[ "Decidable.isTrue", "Batteries.PairingHeapImp.Heap.NoSibling.node", "Batteries.PairingHeapImp.instDecidableNoSibling._proof_1", "Decidable", "Batteries.PairingHeapImp.Heap.NoSibling", "Batteries.PairingHeapImp.Heap.NoSibling.nil", "Unit", "Batteries.PairingHeapImp.Heap", "Batteries.PairingHeapImp.in...
true
AddSubgroupClass.coe_zmod_smul
Mathlib.Data.ZMod.Basic
[ "SetLike", "instHSMul", "ZMod.commRing", "CommSemiring.toSemiring", "DistribMulAction.toDistribSMul", "AddCommGroup.toAddCommMonoid", "AddMonoid.toAddZeroClass", "AddCommGroup.toAddGroup", "Membership.mem", "AddZeroClass.toAddZero", "AddCommGroup", "Subtype", "DistribSMul.toSMulZeroClass", ...
true
Std.Tactic.BVDecide.LRAT.Internal.Entails.eval
Std.Tactic.BVDecide.LRAT.Internal.Entails
[ "Std.Tactic.BVDecide.LRAT.Internal.Entails", "Bool" ]
true
Geometry.SimplicialComplex.ofSubcomplex_faces
Mathlib.Analysis.Convex.SimplicialComplex.Basic
[ "AddCommGroup.toAddCommMonoid", "PreAbstractSimplicialComplex.faces", "Finset", "PartialOrder.toPreorder", "Preorder.toLE", "PartialOrder", "AddCommGroup", "HasSubset.Subset", "Finset.partialOrder", "Geometry.SimplicialComplex.toPreAbstractSimplicialComplex", "IsLowerSet", "Eq.refl", "Geomet...
true
Lean.Server.Test.Runner.Client.normalizedRef
Lean.Server.Test.Runner
[ "Pure.pure", "Std.TreeMap.insert", "Lean.Server.Test.Runner.Client.NormalizeState", "Lean.Lsp.RpcRef.p", "Monad.toApplicative", "USize.instOrd", "_private.Lean.Server.Test.Runner.0.Lean.Server.Test.Runner.Client.normalizedRef.match_1", "Prod.mk", "Id", "Applicative.toPure", "Ord.compare", "Mon...
true
SetRel.rightDual_mem_leftFixedPoint
Mathlib.Order.Rel.GaloisConnection
[ "GaloisConnection.monotone_u", "OrderDual.toDual", "Equiv.instEquivLike", "SetRel", "OrderDual.ofDual", "PartialOrder.toPreorder", "Function.comp", "Membership.mem", "SemilatticeInf.toPartialOrder", "Equiv", "Prod.mk", "GaloisConnection.le_u_l", "BiheytingAlgebra.toCoheytingAlgebra", "SetR...
true
ProofWidgets.GetExprPresentationParams.rec
ProofWidgets.Presentation.Expr
[ "Lean.Server.WithRpcRef", "ProofWidgets.GetExprPresentationParams", "Lean.Name", "ProofWidgets.ExprWithCtx", "ProofWidgets.GetExprPresentationParams.mk" ]
false
String.instLEPos_1
Init.Data.String.Defs
[ "String.Slice.Pos.offset", "String.Slice", "LE.le", "String.Pos.Raw", "LE", "LE.mk", "String.instLERaw", "String.Slice.Pos" ]
true
Turing.PartrecToTM2.copy_ok
Mathlib.Computability.TuringMachine.ToPartrec
[ "List.head?", "cond", "Eq.mpr", "Inhabited.default", "Turing.PartrecToTM2.tr", "Turing.TM2.stepAux", "Function.update", "Turing.PartrecToTM2.K'.rev", "Turing.PartrecToTM2.instDecidableEqK'", "Turing.PartrecToTM2.Γ'", "Turing.PartrecToTM2.Γ'.consₗ", "congrArg", "Option.instMembership", "Tur...
true
hfdifferential._proof_10
Mathlib.Geometry.Manifold.DerivationBundle
[ "NormedCommRing.toSeminormedCommRing", "Algebra.to_smulCommClass", "instHSMul", "chartedSpaceSelf", "NormedSpace", "instTopENat", "CommSemiring.toSemiring", "DistribMulAction.toDistribSMul", "PointedContMDiffMap.evalAlgebra", "NormedSpace.toModule", "AddMonoid.toAddZeroClass", "PseudoMetricSpa...
false
ProbabilityTheory.Kernel.IsProper.setLIntegral_eq_indicator_mul_lintegral
Mathlib.Probability.Kernel.Proper
[ "MulOne.toOne", "MeasureTheory.Measure", "MeasurableSpace.instLE", "HMul.hMul", "MeasurableSet", "MulZeroClass.toMul", "congrArg", "CommSemiring.toSemiring", "Set.indicator", "Measurable", "_private.Mathlib.Probability.Kernel.Proper.0.ProbabilityTheory.Kernel.IsProper.lintegral_indicator_mul", ...
true
Std.TreeMap.minKey_modify_eq_minKey
Std.Data.TreeMap.Lemmas
[ "Std.TreeMap.isEmpty_modify", "congrArg", "Std.TreeMap.inner", "cast", "Std.DTreeMap.Const.minKey_modify_eq_minKey", "Ordering", "Std.TransCmp", "Std.TreeMap.isEmpty", "Std.LawfulEqCmp", "Bool", "Std.TreeMap.modify", "Bool.false", "Eq", "Std.TreeMap.minKey", "Std.TreeMap" ]
true
BddLat.hom_comp
Mathlib.Order.Category.BddLat
[ "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "Lat.carrier", "Lat.Hom.hom", "LatticeHom", "Lat.instCategory", "LatticeHom.comp", "CategoryTheory.CategoryStruct.comp", "Lat.str", "CategoryTheory.Category.toCategoryStruct", "Lat", "Eq", "rfl" ]
true