name
stringlengths
2
347
module
stringlengths
6
90
deps
listlengths
0
692
allowCompletion
bool
2 classes
List.getElem_concat_length
Init.Data.List.Lemmas
[ "congrArg", "GetElem.getElem.congr_simp", "HSub.hSub", "instSubNat", "instOfNatNat", "Nat.le_refl._simp_1", "LE.le", "instLENat", "List.cons", "GetElem.getElem", "Nat.sub_self", "instHAppendOfAppend", "List", "instHSub", "Nat", "LT.lt", "True", "eq_self", "of_eq_true", "Eq.ndre...
true
ModuleCat.smulShortComplex_X₂_carrier
Mathlib.RingTheory.Regular.Category
[ "CommRing", "ModuleCat", "ModuleCat.moduleCategory", "ModuleCat.carrier", "CategoryTheory.Preadditive.preadditiveHasZeroMorphisms", "ModuleCat.instPreadditive", "Eq.refl", "ModuleCat.smulShortComplex", "CommRing.toRing", "Eq", "CategoryTheory.ShortComplex.X₂" ]
true
_private.Mathlib.Analysis.SpecialFunctions.Pow.NNReal.0.Mathlib.Meta.Positivity.evalENNRealRpow.match_13
Mathlib.Analysis.SpecialFunctions.Pow.NNReal
[ "Mathlib.Meta.Positivity.Strictness", "Lean.Expr.const", "_private.Mathlib.Analysis.SpecialFunctions.Pow.NNReal.0.Mathlib.Meta.Positivity.evalENNRealRpow._sparseCasesOn_13", "Nat.hasNotBit", "Lean.Expr.sort", "Lean.Level", "_private.Mathlib.Analysis.SpecialFunctions.Pow.NNReal.0.Mathlib.Meta.Positivity....
false
Std.ExtDTreeMap.Const.maxKey_modify
Std.Data.ExtDTreeMap.Lemmas
[ "Std.ExtDTreeMap.maxKey._proof_1", "Iff.mpr", "Std.ExtDTreeMap.mk", "instDecidableEqOrdering", "Std.DTreeMap", "Std.ExtDTreeMap.maxKey", "Std.DTreeMap.Const.modify", "Quot.pliftOn._proof_2", "Ordering", "mt", "Std.ExtDTreeMap.Const.modify_eq_empty_iff", "Ordering.eq", "Ne", "Std.DTreeMap.m...
true
MulEquiv.withOneCongr_refl
Mathlib.Algebra.Group.WithOne.Basic
[ "WithOne", "MulEquiv.withOneCongr", "MulEquiv.refl", "Mul", "WithOne.mapMulHom_id", "WithOne.instMulOneClass", "MulEquiv.toMonoidHom_injective", "MulEquiv", "Eq", "WithOne.instMul" ]
true
_private.Mathlib.Algebra.Homology.HomotopyCategory.Plus.0.HomotopyCategory.instIsStableUnderShiftIntUpPlus._proof_1
Mathlib.Algebra.Homology.HomotopyCategory.Plus
[ "Lean.RArray.leaf", "False", "Int.Linear.eq_eq_true", "congrArg", "Classical.byContradiction", "HSub.hSub", "Lean.RArray.branch", "Int.Linear.Expr.add", "id", "False.casesOn", "instOfNatNat", "Int", "Bool.true", "instHAdd", "instHSub", "HAdd.hAdd", "Nat", "True", "Bool", "Int.i...
false
AlgebraicGeometry.Spec.sheafedSpaceMap._proof_1
Mathlib.AlgebraicGeometry.Spec
[ "CategoryTheory.Functor.op", "CategoryTheory.Functor", "CommRingCat.hom_ext", "CommRingCat.Hom.hom", "Semiring.toModule", "Opposite", "CommRingCat.carrier", "AlgebraicGeometry.PresheafedSpace.carrier", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "TopologicalSpace.Opens.instPartialOrd...
false
UInt32.ofFin_rev
Init.Data.UInt.Bitwise
[ "instComplementUInt32", "UInt32.size", "congrArg", "UInt32.toFin_inj", "Fin.rev", "UInt32.ofFin", "congr", "True", "Complement.complement", "eq_self", "Iff.mp", "of_eq_true", "UInt32", "UInt32.toFin_ofFin", "UInt32.toFin", "Fin", "Eq", "UInt32.toFin_not", "Eq.trans" ]
true
CategoryTheory.SpectralSequence.pageXIsoOfEq._auto_1
Mathlib.Algebra.Homology.SpectralSequence.Basic
[ "Lean.Syntax.node", "Array.push", "Lean.Syntax", "Array.empty", "Lean.SourceInfo.none", "Lean.Name.mkStr1", "Lean.Name.mkStr4", "Lean.mkAtom" ]
false
Aesop.Check.mk._flat_ctor
Aesop.Check
[ "Lean.Option", "Aesop.Check", "Bool", "Aesop.Check.mk" ]
false
Array.mem_of_getElem?
Init.Data.Array.Lemmas
[ "Array.instMembership", "Option.some", "Membership.mem", "Exists", "Eq.rec", "_private.Init.Data.Array.Lemmas.0.Array.mem_of_getElem?.match_1_1", "Array", "GetElem.getElem", "Array.instGetElemNatLtSize", "Nat", "LT.lt", "Iff.mp", "instLTNat", "GetElem?.getElem?", "Array.getElem?_eq_some_...
true
_private.Mathlib.Algebra.ContinuedFractions.ConvergentsEquiv.0.GenContFract.succ_nth_conv_eq_squashGCF_nth_conv._proof_1_5
Mathlib.Algebra.ContinuedFractions.ConvergentsEquiv
[ "GenContFract.contsAux", "Lean.RArray.leaf", "Lean.Grind.Field.toCommRing", "False", "GenContFract.Pair.b", "Lean.Grind.CommRing.Mon.mult", "Lean.Grind.CommRing.diseq_to_eq", "instHDiv", "Lean.Grind.CommRing.Poly", "Lean.Grind.CommRing.Expr", "HMul.hMul", "Lean.Grind.CommRing.Expr.mul", "Div...
false
ContinuousOrderHom.instFunLike._proof_1
Mathlib.Topology.Order.Hom.Basic
[ "Continuous", "OrderHom.casesOn", "ContinuousOrderHom.casesOn", "Monotone", "OrderHom.toFun", "Eq.rec", "ContinuousOrderHom.mk", "ContinuousOrderHom", "TopologicalSpace", "ContinuousOrderHom.toOrderHom", "Eq.ndrec", "OrderHom.mk", "Eq.refl", "Eq", "OrderHom", "Preorder" ]
false
Rep.FiniteCyclicGroup.coinvariantsTensorResolutionIso._proof_2
Mathlib.RepresentationTheory.Homological.GroupHomology.FiniteCyclic
[ "CommRing", "CommSemiring.toSemiring", "Rep.instCategory", "DivInvMonoid.toMonoid", "CommGroup", "Group.toDivInvMonoid", "CommRing.toCommSemiring", "Rep", "CategoryTheory.Limits.HasZeroObject", "CommGroup.toGroup", "Rep.instHasZeroObject" ]
false
Lean.Grind.CommRing.Expr.toPolyS.match_4.congr_eq_3
Init.Grind.Ring.CommSemiringAdapter
[ "Lean.Grind.CommRing.Expr", "Lean.Grind.CommRing.Expr.mul", "Lean.Grind.CommRing.Expr.var", "Lean.Grind.CommRing.Expr.sub", "Lean.Grind.CommRing.Expr.natCast", "Lean.Grind.CommRing.Expr.neg", "id", "Int", "Lean.Grind.CommRing.Expr.casesOn", "Lean.Grind.CommRing.Expr.add", "Lean.Grind.CommRing.Va...
true
NormedAddGroupHom.ext
Mathlib.Analysis.Normed.Group.Hom
[ "NormedAddGroupHom", "SeminormedAddCommGroup", "NormedAddGroupHom.coe_inj", "NormedAddGroupHom.funLike", "funext", "Eq", "DFunLike.coe" ]
true
Set.Icc_subset_Icc_iff
Mathlib.Order.Interval.Set.Basic
[ "le_rfl", "Preorder.toLE", "Membership.mem", "HasSubset.Subset", "LE.le", "_private.Mathlib.Order.Interval.Set.Basic.0.Set.Icc_subset_Icc_iff.match_1_1", "And", "Iff", "Set.Icc", "And.right", "And.left", "And.intro", "Iff.intro", "LE.le.trans", "Set.instMembership", "Preorder", "Set....
true
Lean.Literal.natVal.sizeOf_spec
Lean.Expr
[ "instOfNatNat", "Lean.Literal", "Lean.Literal.natVal", "instHAdd", "HAdd.hAdd", "Nat", "Lean.Literal._sizeOf_inst", "SizeOf.sizeOf", "instAddNat", "Eq.refl", "instSizeOfNat", "OfNat.ofNat", "Eq" ]
true
AddSubgroup.fintypeOfIndexNeZero.eq_1
Mathlib.GroupTheory.Index
[ "AddSubgroup.fintypeOfIndexNeZero._proof_1", "Fintype.ofFinite", "AddSubgroup.index", "Ne", "instOfNatNat", "AddSubgroup", "HasQuotient.Quotient", "AddGroup", "Fintype", "Nat", "QuotientAddGroup.instHasQuotientAddSubgroup", "Eq.refl", "AddSubgroup.fintypeOfIndexNeZero", "OfNat.ofNat", "E...
true
Lean.Elab.Tactic.Conv.evalReduce
Lean.Elab.Tactic.Conv.Basic
[ "ReaderT", "Lean.Meta.State", "instMonadLiftT", "Lean.Elab.Tactic.Context", "Lean.Syntax", "Lean.Expr", "Lean.Meta.MetaM", "IO.RealWorld", "liftM", "Lean.Elab.Tactic.Conv.changeLhs", "Lean.Elab.Tactic.Conv.getLhs", "ReaderT.instMonadLift", "Lean.Elab.Tactic.instMonadTacticM", "Bool.true", ...
true
_private.Lean.Meta.Basic.0.Lean.Meta.withExistingLocalDeclsImp
Lean.Meta.Basic
[ "instMonadReaderOfReaderTOfMonad", "Lean.Meta.Context.lctx", "Lean.Meta.State", "Lean.Meta.Context.univApprox", "Lean.LocalContext.addDecl", "Lean.Meta.Context.synthPendingDepth", "MonadReader.read", "Lean.Meta.MetaM", "IO.RealWorld", "instMonadWithReaderOfMonadWithReaderOf", "List.foldl", "Le...
true
AlgebraicGeometry.ExistsHomHomCompEqCompAux.mk
Mathlib.AlgebraicGeometry.AffineTransitionLimit
[ "CategoryTheory.Limits.Cone.π", "AlgebraicGeometry.ExistsHomHomCompEqCompAux.mk", "CategoryTheory.Functor", "CategoryTheory.Limits.Cone", "AlgebraicGeometry.Scheme", "CategoryTheory.PreZeroHypercover.f", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "CategoryTheory.Functor.category", "Al...
true
Array.ne_of_not_mem_push
Init.Data.Array.Lemmas
[ "Array.push", "congrArg", "Array.instMembership", "Membership.mem", "Eq.mp", "_private.Init.Data.Array.Lemmas.0.Array.ne_of_not_mem_push._simp_1_1", "Ne", "Array.mem_push._simp_1", "Array", "And", "And.right", "Or", "Eq", "Not", "Eq.trans" ]
true
CochainComplex.HomComplex.Cochain.rightShift.congr_simp
Mathlib.Algebra.Homology.HomotopyCategory.HomComplexShift
[ "CochainComplex.HomComplex.Cochain._proof_1", "HomologicalComplex.instCategory", "CochainComplex.HomComplex.Cochain.rightShift", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "AddGroupWithOne.toAddMonoidWithOne", "AddRightCancelSemigroup.toAddSemigroup", "CochainComplex.instHasShiftInt", "...
true
Lean.Language.SnapshotTask.cancelRec._unsafe_rec
Lean.Language.Basic
[ "Lean.Language.SnapshotTree.children", "Lean.Language.SnapshotTask.task", "Lean.Language.ToSnapshotTree", "Lean.Language.ToSnapshotTree.toSnapshotTree", "Lean.Language.SnapshotTask.cancelRec._unsafe_rec", "Lean.Language.SnapshotTree", "BaseIO.chainTask", "instOfNatNat", "Lean.Language.instToSnapshot...
false
CategoryTheory.ShortComplex.RightHomologyData.ofEpiOfIsIsoOfMono'_p
Mathlib.Algebra.Homology.ShortComplex.RightHomology
[ "CategoryTheory.Limits.HasZeroMorphisms", "CategoryTheory.IsIso", "CategoryTheory.Epi", "CategoryTheory.Mono", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "CategoryTheory.ShortComplex.RightHomologyData", "CategoryTheory.ShortComplex.Hom.τ₁", "CategoryTheory.ShortComplex", "CategoryTheo...
true
_private.Mathlib.Order.KrullDimension.0.Order.height_eq_coe_iff_minimal_le_height._simp_1_1
Mathlib.Order.KrullDimension
[ "Preorder.toLT", "Preorder.toLE", "And", "minimal_iff_forall_lt", "LT.lt", "propext", "Eq", "Minimal", "Not", "Preorder" ]
false
CategoryTheory.Functor.splitMonoBiprodComparison'_retraction
Mathlib.CategoryTheory.Limits.Preserves.Shapes.Biproducts
[ "CategoryTheory.Limits.HasZeroMorphisms", "CategoryTheory.Functor", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "CategoryTheory.Limits.HasBinaryBiproduct", "CategoryTheory.Limits.biprod", "CategoryTheory.SplitMono.retraction", "CategoryTheory.Functor.biprodComparison'", "Eq.refl", "Cat...
true
Std.DTreeMap.Const.foldr_eq_foldr_toArray
Std.Data.DTreeMap.Lemmas
[ "Std.DTreeMap", "Std.DTreeMap.foldr", "Ordering", "Std.DTreeMap.inner", "instOfNatNat", "Std.DTreeMap.Const.toArray", "Prod.fst", "Std.DTreeMap.Internal.Impl.Const.foldr_eq_foldr_toArray", "Array.foldr", "Nat", "Prod", "OfNat.ofNat", "Eq", "Prod.snd", "Array.size" ]
true
Monoid.CoprodI.Word.cons
Mathlib.GroupTheory.CoprodI
[ "Monoid", "Monoid.CoprodI.Word.fstIdx", "MulOne.toOne", "Monoid.toMulOneClass", "Monoid.CoprodI.Word.toList", "Option.some", "Monoid.CoprodI.Word.cons._proof_2", "Monoid.CoprodI.Word", "Ne", "List.cons", "Monoid.CoprodI.Word.mk", "MulOneClass.toMulOne", "Monoid.CoprodI.Word.cons._proof_1", ...
true
HomologicalComplex.Hom.isoOfComponents._proof_1
Mathlib.Algebra.Homology.HomologicalComplex
[ "CategoryTheory.Category.assoc", "CategoryTheory.Limits.HasZeroMorphisms", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "congrArg", "HomologicalComplex", "CategoryTheory.CategoryStruct.id", "CategoryTheory.Iso.hom_inv_id", "CategoryTheory.Iso", "CategoryTheory.Category.comp_id", "Comp...
false
Function.Periodic.sub
Mathlib.Algebra.Ring.Periodic
[ "congrArg", "HSub.hSub", "id", "instHAdd", "instHSub", "HAdd.hAdd", "Function.Periodic", "congr", "True", "eq_self", "of_eq_true", "Pi.instSub", "congrFun'", "implies_true", "Eq", "Add", "Eq.trans", "Sub", "forall_congr" ]
true
EisensteinSeries.norm_le_tsum_norm
Mathlib.NumberTheory.ModularForms.EisensteinSeries.IsBoundedAtImInfty
[ "Norm.norm", "NormedCommRing.toSeminormedCommRing", "Real.partialOrder", "Real.instLE", "Real", "Real.lattice", "instHasSolidNormReal", "AddCommGroup.toAddCommMonoid", "EisensteinSeries.gammaSet", "Summable.subtype", "Complex.instNormedField", "PseudoMetricSpace.toUniformSpace", "EisensteinS...
true
ContinuousAlternatingMap.curryLeftLI_apply
Mathlib.Analysis.Normed.Module.Alternating.Curry
[ "LinearIsometry", "NormedCommRing.toSeminormedCommRing", "ContinuousAlternatingMap.instAddCommGroup._proof_7", "NormedSpace.toIsBoundedSMul", "UniformContinuousConstSMul.to_continuousConstSMul", "NormedSpace", "ContinuousAlternatingMap.curryLeft", "DistribMulAction.toDistribSMul", "AddCommGroup.toAd...
true
_private.Mathlib.CategoryTheory.Filtered.Small.0.CategoryTheory.IsFiltered.FilteredClosureSmall.InductiveStep._sizeOf_inst
Mathlib.CategoryTheory.Filtered.Small
[ "_private.Mathlib.CategoryTheory.Filtered.Small.0.CategoryTheory.IsFiltered.FilteredClosureSmall.InductiveStep", "SizeOf.mk", "Nat", "LT.lt", "SizeOf", "instLTNat", "_private.Mathlib.CategoryTheory.Filtered.Small.0.CategoryTheory.IsFiltered.FilteredClosureSmall.InductiveStep._sizeOf_1", "Sigma", "Ca...
false
TensorProduct.LieModule.liftLie._proof_1
Mathlib.Algebra.Lie.TensorProduct
[ "CommRing", "TensorProduct.LieModule.lieRingModule", "CommSemiring.toSemiring", "AddCommGroup.toAddCommMonoid", "LinearMap.addCommGroup", "TensorProduct.addCommGroup", "AddCommGroup", "LinearMap.instLieModule", "LinearMap.module", "LinearMap", "TensorProduct.LieModule.hasBracketAux._proof_1", ...
false
Vector.tail_eq_of_zero
Batteries.Data.Vector.Lemmas
[ "Vector.eq_empty", "Vector", "HSub.hSub", "instSubNat", "instOfNatNat", "List.toArray", "instHSub", "Vector.mk", "Nat", "Vector.tail", "OfNat.ofNat", "Eq", "Array.size", "rfl", "List.nil" ]
true
MeasureTheory.lintegral_withDensity_eq_lintegral_mul_non_measurable
Mathlib.MeasureTheory.Measure.WithDensity
[ "ENNReal.instCanonicallyOrderedAdd", "MeasureTheory.ae", "Eq.mpr", "iSup₂_le", "MeasureTheory.Measure.withDensity", "MulOne.toOne", "Semigroup.toMul", "DivInvMonoid.toInv", "Measurable.mul", "MeasureTheory.Measure", "Preorder.toLT", "instHDiv", "HMul.hMul", "MeasureTheory.lintegral_withDen...
true
Std.ExtHashMap.getElem_filterMap
Std.Data.ExtHashMap.Lemmas
[ "GetElem?.toGetElem", "Std.ExtHashMap.inner", "Membership.mem", "Std.ExtHashMap.filterMap", "Std.ExtDHashMap.Const.get_filterMap", "LawfulHashable", "Std.ExtHashMap", "GetElem.getElem", "EquivBEq", "Option.get", "Std.ExtHashMap.isSome_apply_of_mem_filterMap", "Hashable", "Std.ExtHashMap.mem_...
true
nonUnitalSubalgebraOfNonUnitalSubring
Mathlib.Algebra.Algebra.NonUnitalSubalgebra
[ "NonUnitalNonAssocRing", "nonUnitalSubalgebraOfNonUnitalSubring._proof_1", "NonUnitalSubalgebra", "NonUnitalNonAssocRing.toAddCommGroup", "NonUnitalSubring", "NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring", "Int", "NonUnitalSubalgebra.mk", "NonUnitalSubring.toNonUnitalSubsemiring", "AddCommGro...
true
_private.Mathlib.Tactic.Linter.TextBased.0.Mathlib.Linter.TextBased.UnicodeLinter.findBadUnicodeAux.match_1.splitter
Mathlib.Tactic.Linter.TextBased
[ "Option.some", "Option.none", "Unit", "Char", "_private.Mathlib.Tactic.Linter.TextBased.0.Mathlib.Linter.TextBased.UnicodeLinter.findBadUnicodeAux.match_1", "Option" ]
true
ValuativeRel.ValueGroupWithZero.mk_eq_div
Mathlib.RingTheory.Valuation.ValuativeRel.Basic
[ "Eq.mpr", "GroupWithZero.toMonoidWithZero", "LinearOrderedCommGroupWithZero.toLinearOrderedCommMonoidWithZero", "CommRing", "instHDiv", "Submonoid.mul", "HMul.hMul", "GroupWithZero.toDivInvMonoid", "MulZeroClass.toMul", "ValuativeRel.valuation_posSubmonoid_ne_zero", "congrArg", "CommSemiring.t...
true
_private.Mathlib.NumberTheory.Pell.0.Pell.exists_of_not_isSquare._proof_1_7
Mathlib.NumberTheory.Pell
[ "Nat.instAtLeastTwoHAddOfNat", "instOfNatNat", "instHAdd", "HAdd.hAdd", "Nat.instNeZeroSucc", "Nat", "instAddNat", "OfNat.ofNat", "Nat.AtLeastTwo" ]
false
Sublattice.isSublattice
Mathlib.Order.Sublattice
[ "Sublattice", "Lattice", "IsSublattice", "Sublattice.supClosed", "Sublattice.infClosed", "IsSublattice.mk", "SetLike.coe", "Sublattice.instSetLike" ]
true
_private.Lean.Meta.Tactic.Grind.Arith.Linear.MBTC.0.Lean.Meta.Grind.Arith.Linear.isInterpreted
Lean.Meta.Tactic.Grind.Arith.Linear.MBTC
[ "Pure.pure", "Lean.Meta.Grind.GrindM", "Lean.Meta.Grind.Goal", "StateRefT'.instAlternativeOfMonad", "Lean.Meta.Grind.State", "ReaderT", "Lean.Meta.Sym.Context", "ReaderT.instMonad", "Lean.Meta.Grind.Context", "Lean.Expr", "Lean.Meta.MetaM", "IO.RealWorld", "Lean.Meta.Grind.Arith.isInterprete...
true
SemigroupAction.mk
Mathlib.Algebra.Group.Action.Defs
[ "Semigroup", "Semigroup.toMul", "instHSMul", "HMul.hMul", "SMul", "SemigroupAction", "SemigroupAction.mk", "HSMul.hSMul", "Eq", "instHMul" ]
true
_private.Mathlib.Algebra.Homology.ShortComplex.Ab.0.CategoryTheory.ShortComplex.ShortExact.ab_finite_iff.match_1_1
Mathlib.Algebra.Homology.ShortComplex.Ab
[ "AddCommGrpCat.instCategory", "Finite", "CategoryTheory.ShortComplex", "CategoryTheory.ShortComplex.X₁", "Ab", "AddCommGrpCat.carrier", "And.casesOn", "And", "And.intro", "AddCommGrpCat.instPreadditive", "CategoryTheory.Preadditive.preadditiveHasZeroMorphisms", "CategoryTheory.ShortComplex.X₃"...
false
_private.Lean.Meta.WHNF.0.Lean.Meta.smartUnfoldingReduce?.goMatch._sparseCasesOn_1
Lean.Meta.WHNF
[ "Nat.ne_of_beq_eq_false", "Nat.shiftRight", "Lean.Meta.ReduceMatcherResult.rec", "Lean.Meta.ReduceMatcherResult.ctorIdx", "Lean.Meta.ReduceMatcherResult.notMatcher", "Lean.Expr", "Lean.Meta.ReduceMatcherResult.stuck", "Nat.hasNotBit", "instOfNatNat", "Lean.Meta.ReduceMatcherResult.reduced", "Nat...
false
_private.Mathlib.FieldTheory.LinearDisjoint.0.IntermediateField.LinearDisjoint.adjoin_rank_eq_rank_left_of_isAlgebraic.match_1_5
Mathlib.FieldTheory.LinearDisjoint
[ "Subalgebra.instSetLike", "Algebra.algebraMap", "CommSemiring.toSemiring", "IsScalarTower", "IsScalarTower.toAlgHom", "Algebra", "RingHom", "Algebra.toSMul", "Membership.mem", "Exists", "Algebra.id", "Subalgebra.toAlgebra", "Subtype", "Field.toSemifield", "Subtype.mk", "Subalgebra.toCo...
false
Std.DTreeMap.isEmpty_modify
Std.Data.DTreeMap.Lemmas
[ "Std.DTreeMap", "Std.DTreeMap.isEmpty", "Ord.mk", "Ordering", "Std.DTreeMap.inner", "Std.TransCmp", "Std.DTreeMap.modify", "Std.DTreeMap.Internal.Impl.isEmpty_modify", "Std.LawfulEqCmp", "Std.DTreeMap.wf", "Bool", "Eq" ]
true
_private.Std.Tactic.BVDecide.Bitblast.BVExpr.Circuit.Lemmas.Expr.0.Std.Tactic.BVDecide.BVExpr.bitblast.go.match_17.eq_9
Std.Tactic.BVDecide.Bitblast.BVExpr.Circuit.Lemmas.Expr
[ "Std.Tactic.BVDecide.BVExpr.extract", "HMul.hMul", "Std.Tactic.BVDecide.BVExpr.bin", "Std.Tactic.BVDecide.BVBinOp", "Std.Tactic.BVDecide.BVUnOp", "BitVec", "instMulNat", "Std.Tactic.BVDecide.BVExpr.shiftLeft", "instHAdd", "Std.Tactic.BVDecide.BVExpr.arithShiftRight", "Std.Tactic.BVDecide.BVExpr....
true
ContinuousLinearMap.toPseudoMetricSpace._proof_1
Mathlib.Analysis.Normed.Operator.Basic
[ "NormedCommRing.toSeminormedCommRing", "SeminormedAddCommGroup", "NormedSpace.toIsBoundedSMul", "UniformContinuousConstSMul.to_continuousConstSMul", "NormedSpace", "DistribMulAction.toDistribSMul", "AddCommGroup.toAddCommMonoid", "NormedSpace.toModule", "AddMonoid.toAddZeroClass", "IsBoundedSMul.t...
false
Set.biUnion_singleton
Mathlib.Data.Set.Lattice
[ "Membership.mem", "Set.instSingletonSet", "iSup_singleton", "CompleteBooleanAlgebra.toCompleteLattice", "Singleton.singleton", "Eq", "Set.instMembership", "Set.iUnion", "CompleteAtomicBooleanAlgebra.toCompleteBooleanAlgebra", "Set.instCompleteAtomicBooleanAlgebra", "Set" ]
true
ULiftable.refl
Mathlib.Control.ULiftable
[ "LawfulFunctor", "Functor", "Functor.mapEquiv", "Equiv", "ULiftable.mk", "ULiftable" ]
true
GT.gt.lt
Mathlib.Order.Basic
[ "GT.gt", "LT.lt", "LT" ]
true
MulChar.commGroup._proof_5
Mathlib.NumberTheory.MulChar.Basic
[ "Mul.mk", "One.mk", "MulChar.hasOne", "MulChar", "MulChar.hasInv", "Int", "npowRec", "One.one", "Inv.inv", "instOfNat", "Inv.mk", "CommMonoidWithZero", "Mul.mul", "zpowRec", "One.toOfNat1", "Eq.refl", "OfNat.ofNat", "Eq", "CommMonoid", "MulChar.hasMul" ]
false
CochainComplex.mappingCone.shiftTriangleIso._proof_2
Mathlib.Algebra.Homology.HomotopyCategory.Pretriangulated
[ "Units.val", "CategoryTheory.Category.assoc", "HomologicalComplex.hom_ext", "CochainComplex.mappingCone.shiftIso", "CochainComplex.mappingCone.inr_f_fst_v", "HomologicalComplex.instCategory", "instHSMul", "CochainComplex.HomComplex.instAddCommGroupCochain", "and_true", "HomologicalComplex.Hom.f", ...
false
Lean.Meta.AuxLemmaKey._sizeOf_inst
Lean.Meta.Tactic.AuxLemma
[ "Lean.Meta.AuxLemmaKey._sizeOf_1", "SizeOf.mk", "SizeOf", "Lean.Meta.AuxLemmaKey" ]
false
Differentiable.sub._simp_2
Mathlib.Analysis.Calculus.FDeriv.Add
[ "Differentiable", "NormedSpace", "NormedSpace.toModule", "HSub.hSub", "PseudoMetricSpace.toUniformSpace", "AddCommGroup.toAddGroup", "Differentiable.sub", "SubNegMonoid.toSub", "instHSub", "SeminormedAddCommGroup.toPseudoMetricSpace", "AddGroup.toSubNegMonoid", "True", "eq_true", "Nontrivi...
false
Lean.Elab.Tactic.TacticParsedSnapshot.ctorIdx
Lean.Elab.Term.TermElabM
[ "Lean.Elab.Tactic.TacticParsedSnapshot", "Nat" ]
false
EquicontinuousWithinAt.eq_1
Mathlib.Topology.UniformSpace.Equicontinuity
[ "Filter.instMembership", "UniformSpace", "EquicontinuousWithinAt", "nhdsWithin", "Filter.Eventually", "uniformity", "Membership.mem", "Prod.mk", "TopologicalSpace", "Eq.refl", "Prod", "Eq", "Set.instMembership", "Filter", "Set" ]
true
Std.DTreeMap.Internal.Impl.minKey!_insertIfNew_le_minKey!
Std.Data.DTreeMap.Internal.Lemmas
[ "Eq.mpr", "Std.Internal.List.DistinctKeys", "Std.DTreeMap.Internal.Impl.isEmpty_eq_isEmpty", "Std.DTreeMap.Internal.Impl.SizedBalancedTree.impl", "Ord", "Std.instLawfulBEqOrd", "congrArg", "beqOfOrd", "Std.DTreeMap.Internal.Impl.Ordered.distinctKeys", "Std.TransOrd", "Std.DTreeMap.Internal.Impl....
true
Filter.liminf_eq_iSup_iInf
Mathlib.Order.LiminfLimsup
[ "Filter.instMembership", "iInf", "Filter.liminf", "iSup", "Membership.mem", "CompleteLattice.toConditionallyCompleteLattice", "OrderDual.instCompleteLattice", "Filter.limsup_eq_iInf_iSup", "ConditionallyCompleteLattice.toConditionallyCompletePartialOrder", "ConditionallyCompletePartialOrder.toCond...
true
_private.Lean.Environment.0.Lean.Kernel.Environment.Diagnostics.recordUnfold.match_1
Lean.Environment
[ "Option.ctorIdx", "Option.some", "Nat.hasNotBit", "_private.Lean.Environment.0.Lean.Kernel.Environment.Diagnostics.recordUnfold._sparseCasesOn_1", "Nat", "Option" ]
false
AlgebraicGeometry.Scheme.Hom.copyBase._proof_1
Mathlib.AlgebraicGeometry.Scheme
[ "AlgebraicGeometry.Scheme", "Continuous", "AlgebraicGeometry.PresheafedSpace.carrier", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "CategoryTheory.ConcreteCategory.hom", "CommRingCat", "TopCat.instCategory", "ContinuousMap.mk", "ContinuousMap", "AlgebraicGeometry.Scheme.Hom", "Eq.r...
false
HomotopicalAlgebra.Cylinder.ofFactorizationData_i₀
Mathlib.AlgebraicTopology.ModelCategory.Cylinder
[ "CategoryTheory.Limits.hasFiniteCoproducts_of_hasFiniteColimits", "CategoryTheory.MorphismProperty.MapFactorizationData.Z", "CategoryTheory.Limits.hasColimitOfHasColimitsOfShape", "HomotopicalAlgebra.ModelCategory.cm1b", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "CategoryTheory.Limits.hasC...
true
_private.Init.Data.Range.Polymorphic.Lemmas.0.Std.Rci.succ_mem_succ_succ_iff._simp_1_1
Init.Data.Range.Polymorphic.Lemmas
[ "Std.Rci.mk", "Std.Rci", "Std.PRange.UpwardEnumerable", "Std.Rci.instMembershipOfLE", "Membership.mem", "Exists", "Std.PRange.LinearlyUpwardEnumerable", "Std.Rci.mem_succ_iff", "LE", "And", "Std.Rxi.IsAlwaysFinite", "Std.PRange.InfinitelyUpwardEnumerable", "propext", "Std.PRange.LawfulUpwa...
false
_private.Lean.Meta.Tactic.Simp.BuiltinSimprocs.UInt.0._regBuiltin.UInt64.reduceOfNat.declare_305._@.Lean.Meta.Tactic.Simp.BuiltinSimprocs.UInt.4002762760._hygCtx._hyg.336
Lean.Meta.Tactic.Simp.BuiltinSimprocs.UInt
[ "IO", "Lean.Meta.DiscrTree.Key.star", "Lean.Meta.DiscrTree.Key", "instOfNatNat", "List.toArray", "List.cons", "Unit", "Nat", "Lean.Meta.Simp.registerBuiltinDSimproc", "Lean.Name.mkStr2", "OfNat.ofNat", "UInt64.reduceOfNat", "Lean.Meta.DiscrTree.Key.const", "List.nil" ]
false
Lean.Server.Watchdog.handlePrepareRename
Lean.Server.Watchdog
[ "Pure.pure", "instMonadReaderOfReaderTOfMonad", "ReaderT", "IO", "MonadReader.read", "ReaderT.instMonad", "Lean.Server.Watchdog.ReferenceRequestContext", "_private.Lean.Server.Watchdog.0.Lean.Server.Watchdog.eraseFileWorker.match_3", "Lean.Lsp.PrepareRenameParams", "Lean.Server.Watchdog.ReferenceR...
true
BitVec.sdivOverflow.eq_1
Init.Data.BitVec.Lemmas
[ "instPowNat", "Int.instDiv", "instHDiv", "HSub.hSub", "Int.decLe", "BitVec", "HDiv.hDiv", "Int.instNegInt", "instSubNat", "instOfNatNat", "Int", "Int.instNatPow", "LE.le", "Int.instLTInt", "instHSub", "HPow.hPow", "instOfNat", "BitVec.sdivOverflow", "Nat", "LT.lt", "Bool", ...
true
Submodule.colon._proof_1
Mathlib.RingTheory.Ideal.Colon
[ "Submodule", "Submodule.addSubmonoidClass", "congrArg", "AddCommMonoid", "instHAdd", "Set.add", "SetLike.coe", "HAdd.hAdd", "Submodule.setLike", "True", "eq_self", "coe_add_coe", "of_eq_true", "Semiring", "congrFun'", "AddCommMonoid.toAddMonoid", "AddCommSemigroup.toAddCommMagma", ...
false
Batteries.TransCmp.toOrientedCmp
Batteries.Classes.Deprecated
[ "Batteries.TransCmp", "Ordering", "Batteries.OrientedCmp" ]
true
_private.Batteries.Data.Array.Pairwise.0.Array.pairwise_iff_getElem._simp_1_1
Batteries.Data.Array.Pairwise
[ "List.Pairwise", "List.pairwise_iff_getElem", "GetElem.getElem", "List", "Nat", "LT.lt", "propext", "instLTNat", "List.instGetElemNatLtLength", "Eq", "List.length" ]
false
SetLike.GradeZero.instSemiring._aux_5
Mathlib.Algebra.DirectSum.Internal
[ "SetLike", "NonAssocSemiring.toAddCommMonoidWithOne", "Subsemiring.instSetLike", "AddMonoid.toAddZeroClass", "natCast_mem", "Membership.mem", "AddSubmonoidClass", "AddZeroClass.toAddZero", "SetLike.GradeZero.subsemiring", "Subtype", "AddMonoidWithOne.toNatCast", "AddCommMonoidWithOne.toAddMono...
false
_private.Init.Data.ToString.Name.0.Lean.Name.toStringWithToken.maybePseudoSyntax.match_1
Init.Data.ToString.Name
[ "String", "_private.Init.Data.ToString.Name.0.Lean.Name.toStringWithToken.maybePseudoSyntax._sparseCasesOn_1", "Nat.hasNotBit", "Lean.Name.ctorIdx", "Lean.Name.str", "Lean.Name" ]
false
_private.Mathlib.RingTheory.Polynomial.Nilpotent.0.Polynomial.not_isUnit_of_natDegree_pos_of_isReduced._simp_1_1
Mathlib.RingTheory.Polynomial.Nilpotent
[ "isNilpotent_iff_eq_zero", "Monoid.toPow", "MonoidWithZero", "MonoidWithZero.toMulZeroOneClass", "propext", "Zero.toOfNat0", "MulZeroOneClass.toMulZeroClass", "OfNat.ofNat", "IsNilpotent", "Eq", "MonoidWithZero.toMonoid", "MulZeroClass.toZero", "IsReduced" ]
false
Aesop.RuleState.enqueueRawHyp
Aesop.Forward.State
[ "Aesop.PremiseIndex", "Array.map", "Aesop.ClusterState.enqueueRawHyp", "Aesop.RawHyp", "Aesop.RuleState", "Aesop.ClusterState", "Aesop.RuleState.mk", "Aesop.RuleState.clusterStates", "Aesop.RuleState.patSubstSources", "Aesop.RuleState.rule" ]
true
Lean.Parser.ParserState.keepNewError
Lean.Parser.Basic
[ "Lean.Parser.ParserState.keepTop", "String.Pos.Raw", "Array", "Lean.Parser.Error", "Lean.Parser.ParserCache", "_private.Lean.Parser.Basic.0.Lean.Parser.ParserState.keepNewError.match_1", "Nat", "Lean.Parser.SyntaxStack", "Lean.Parser.ParserState.mk", "Lean.Parser.ParserState", "Prod", "Option"...
true
SSet.Subcomplex.Pairing.instIsRegularOp
Mathlib.AlgebraicTopology.SimplicialSet.AnodyneExtensions.Op
[ "SSet.Subcomplex.N.opEquiv", "Eq.mpr", "False", "Subtype.mk.congr_simp", "SSet.op", "wellFounded_iff_isEmpty_descending_chain", "congrArg", "Classical.byContradiction", "PartialOrder.toPreorder", "Subtype.casesOn", "Preorder.toLE", "Membership.mem", "SSet.Subcomplex.N", "Eq.mp", "Set.Ele...
true
Lean.Grind.Semiring.pow_add_congr
Init.Grind.Ring.Basic
[ "Eq.mpr", "HMul.hMul", "congrArg", "Lean.Grind.Semiring.pow_add", "id", "Lean.Grind.Semiring.toMul", "instHAdd", "HPow.hPow", "HAdd.hAdd", "Nat", "Lean.Grind.Semiring", "Eq.ndrec", "instAddNat", "Eq.refl", "Eq.symm", "Eq", "instHMul", "Lean.Grind.Semiring.npow" ]
true
_private.Mathlib.Data.Nat.Nth.0.Nat.le_nth_of_monotoneOn_of_surjOn._proof_1_4
Mathlib.Data.Nat.Nth
[ "Iff.mpr", "Lean.Grind.CommRing.le_norm_expr", "Lean.Grind.instOrderedRingInt", "Lean.RArray.leaf", "False", "Preorder.toLT", "of_decide_eq_true", "Lean.Grind.nestedProof", "Lean.Grind.CommRing.Expr.var", "Iff.of_eq", "congrArg", "Lean.Grind.Order.le_of_eq_2_k", "Classical.byContradiction", ...
false
CategoryTheory.Presieve.BindStruct.mk.sizeOf_spec
Mathlib.CategoryTheory.Sites.Sieves
[ "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "CategoryTheory.Presieve", "instSizeOfDefault", "instOfNatNat", "CategoryTheory.Presieve.BindStruct._sizeOf_inst", "instHAdd", "HAdd.hAdd", "Nat", "SizeOf.sizeOf", "CategoryTheory.CategoryStruct.comp", "instAddNat", "Eq.refl", "Catego...
true
HomologicalComplex.Hom.isoOfComponents
Mathlib.Algebra.Homology.HomologicalComplex
[ "CategoryTheory.Limits.HasZeroMorphisms", "HomologicalComplex.Hom.isoOfComponents._auto_1", "HomologicalComplex.instCategory", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "HomologicalComplex.Hom.mk", "HomologicalComplex", "CategoryTheory.Iso", "HomologicalComplex.Hom.isoOfComponents._pro...
true
Lean.Elab.Do.ControlLifter
Lean.Elab.Do.Control
[ "Lean.Elab.Do.ControlLifter.mk" ]
true
FirstOrder.Language.BoundedFormula.IsQF.below
Mathlib.ModelTheory.Complexity
[ "FirstOrder.Language.BoundedFormula.IsQF.below.of_isAtomic", "FirstOrder.Language.BoundedFormula.IsQF.below.imp", "FirstOrder.Language.BoundedFormula.IsQF", "Nat", "FirstOrder.Language.BoundedFormula.IsQF.below.falsum", "FirstOrder.Language", "FirstOrder.Language.BoundedFormula" ]
true
_private.Mathlib.RingTheory.Valuation.ValuativeRel.Basic.0.ValuativeRel.ValueGroupWithZero.embed._simp_14
Mathlib.RingTheory.Valuation.ValuativeRel.Basic
[ "False", "eq_false", "pow_ne_zero", "Ne", "Monoid.toPow", "MonoidWithZero", "MonoidWithZero.toMulZeroOneClass", "HPow.hPow", "Nat", "Zero.toOfNat0", "instHPow", "MulZeroOneClass.toMulZeroClass", "OfNat.ofNat", "Eq", "MonoidWithZero.toMonoid", "MulZeroClass.toZero", "IsReduced" ]
false
Lean.Elab.Term.ToDepElimPattern.Context.userName._default
Lean.Elab.Match
[ "id", "Lean.Name.anonymous", "Lean.Name" ]
false
Matrix.transpose_hasOrthogonalCols_iff_hasOrthogonalRows._simp_1
Mathlib.LinearAlgebra.Matrix.Orthogonal
[ "Matrix", "Mul", "Matrix.HasOrthogonalRows", "Matrix.HasOrthogonalCols", "AddCommMonoid", "Fintype", "Matrix.transpose", "propext", "Matrix.transpose_hasOrthogonalCols_iff_hasOrthogonalRows", "Eq" ]
false
_private.Mathlib.RingTheory.Extension.Cotangent.BaseChange.0.Algebra.Extension.tensorCotangentOfFlat._proof_2
Mathlib.RingTheory.Extension.Cotangent.BaseChange
[ "CommRing", "Algebra.to_smulCommClass", "TensorProduct.leftHasSMul", "Algebra.Extension.commRing", "NonUnitalCommRing.toNonUnitalNonAssocCommRing", "Semiring.toModule", "IsScalarTower.right", "CommRing.toNonUnitalCommRing", "Algebra.Extension.ker", "_private.Mathlib.RingTheory.Extension.Cotangent....
false
DirectSum.lie_of_same
Mathlib.Algebra.Lie.DirectSum
[ "DirectSum.lieRing._proof_5", "DFinsupp.zipWith_single_single", "instAddCommMonoidDirectSum", "LieRing.toAddCommGroup", "AddCommGroup.toAddCommMonoid", "AddMonoid.toAddZeroClass", "Bracket.bracket", "AddZeroClass.toAddZero", "LieRingModule.toBracket", "AddZero.toZero", "LieRing", "DirectSum.of...
true
WithVal.instField
Mathlib.Topology.Algebra.Valued.WithVal
[ "LinearOrderedCommGroupWithZero.toLinearOrderedCommMonoidWithZero", "instHSMul", "NNRat.instDistribSMul", "AddMonoid.toAddZeroClass", "Rat", "AddGroupWithOne.toAddMonoidWithOne", "WithVal.instField._proof_10", "DivInvMonoid.toZPow", "Field.toDivisionRing", "AddZeroClass.toAddZero", "DivisionRing...
true
ContinuousGeneratedByCat.coe_of
Mathlib.Topology.Convenient.Category
[ "ContinuousGeneratedByCat.of", "TopologicalSpace", "ContinuousGeneratedByCat.carrier", "Eq", "rfl" ]
true
SSet.Truncated.instCategoryHomotopyCategory._proof_8
Mathlib.AlgebraicTopology.SimplicialSet.HomotopyCat
[ "SSet.OneTruncation₂", "Quiver.mk", "CategoryTheory.Cat.FreeRefl.instCategory", "CategoryTheory.CategoryStruct.mk", "SSet.Truncated.instCategoryHomotopyCategory._aux_1", "SSet.Truncated.instCategoryHomotopyCategory._aux_3", "CategoryTheory.Category.comp_id._autoParam", "CategoryTheory.CategoryStruct.t...
false
LinearMap.convIntrinsicStarRing._proof_4
Mathlib.Algebra.Star.LinearMap
[ "AddMonoid.toAddSemigroup", "CommSemiring.toSemiring", "DistribMulAction.toDistribSMul", "StarAddMonoid.star_add", "AddMonoid.toAddZeroClass", "AddZeroClass.toAddZero", "DistribSMul.toSMulZeroClass", "StarAddMonoid.toInvolutiveStar", "LinearMap", "AddCommMonoid", "CommSemiring", "NonUnitalNonA...
false
_private.Batteries.Data.Fin.Lemmas.0.Fin.findSome?_eq_none_iff._simp_1_3
Batteries.Data.Fin.Lemmas
[ "instNeZeroNatHAdd_1", "Fin.succ", "Fin.instOfNat", "instOfNatNat", "instHAdd", "And", "Fin.forall_fin_succ", "HAdd.hAdd", "Nat.instNeZeroSucc", "Nat", "propext", "instAddNat", "OfNat.ofNat", "Fin", "Eq" ]
false
LinearMap.iterateKer._proof_1
Mathlib.Algebra.Module.Submodule.Ker
[ "Eq.mpr", "Submodule", "Module.End.instMonoid", "HMul.hMul", "SemilinearMapClass.distribMulActionSemiHomClass", "Monoid.toMulOneClass", "congrArg", "AddMonoid.toAddZeroClass", "LinearMap.ker", "LinearMap.instFunLike", "Preorder.toLE", "RingHom", "pow_add", "Module.End.instMul", "Nat.exis...
false
_private.Lean.Linter.MissingDocs.0.Lean.Linter.MissingDocs.docOptStatus
Lean.Linter.MissingDocs
[ "Pure.pure", "_private.Lean.Linter.MissingDocs.0.Lean.Linter.MissingDocs.isEmptyDocString", "Option.some", "Lean.Syntax", "IO.RealWorld", "Bool.and", "EIO", "instDecidableEqBool", "instMonadEIO", "Applicative.toPure", "Bool.true", "Lean.Elab.Command.instMonadCommandElabM", "Option.none", "...
true
_private.Mathlib.MeasureTheory.Constructions.BorelSpace.Order.0.borel_eq_generateFrom_Ico._simp_1_1
Mathlib.MeasureTheory.Constructions.BorelSpace.Order
[ "Exists", "exists_prop", "And", "propext", "Eq" ]
false
List.maxIdxOn_lt_length
Init.Data.List.MinMaxIdx
[ "List.maxIdxOn", "inferInstance", "Ne", "LE", "List", "DecidableLE", "Nat", "LT.lt", "List.minIdxOn_lt_length", "Std.OppositeOrderInstances.instDecidableLEOpposite", "instLTNat", "List.length", "LE.opposite", "List.nil" ]
true
Int.negOfNat_eq
Init.Data.Int.Lemmas
[ "Int.instNegInt", "Int.ofNat", "Int", "Nat", "Eq", "Neg.neg", "rfl", "Int.negOfNat" ]
true