name
stringlengths
2
347
module
stringlengths
6
90
deps
listlengths
0
692
allowCompletion
bool
2 classes
Std.DTreeMap.Internal.Const.RioSliceData.mk.inj
Std.Data.DTreeMap.Internal.Zipper
[ "Std.DTreeMap.Internal.Const.RioSliceData.mk", "Std.DTreeMap.Internal.Const.RioSliceData.mk.noConfusion", "Ord", "And", "Std.Rio", "Std.DTreeMap.Internal.Const.RioSliceData", "And.intro", "eq_of_heq", "HEq", "Eq", "Std.DTreeMap.Internal.Impl" ]
true
LinearIndepOn.subset_extend
Mathlib.LinearAlgebra.LinearIndependent.Lemmas
[ "LinearIndepOn.extend", "Submodule", "AddCommGroup.toAddCommMonoid", "DivisionRing.toDivisionSemiring", "AddCommGroup", "exists_linearIndepOn_extension", "HasSubset.Subset", "Classical.choose_spec", "And", "SetLike.coe", "_private.Mathlib.LinearAlgebra.LinearIndependent.Lemmas.0.LinearIndepOn.su...
true
Vector.mul_smul
Init.Data.Vector.Algebra
[ "instHSMul", "HMul.hMul", "Vector", "SMul", "Mul", "Vector.instSMul", "Nat", "HSMul.hSMul", "_private.Init.Data.Vector.Algebra.0.Vector.mul_smul._proof_1_2", "Eq", "instHMul" ]
true
PolynomialLaw.π.match_1
Mathlib.RingTheory.PolynomialLaw.Basic
[ "PolynomialLaw.lifts", "Nat.instMulZeroClass", "Semiring.toModule", "AddMonoidAlgebra.addAddCommMonoid", "CommSemiring.toSemiring", "Finset", "AddCommMonoid", "CommSemiring", "Nat", "MvPolynomial", "Finset.card", "TensorProduct", "Sigma.mk", "Sigma.casesOn", "Module", "Fin", "AddMono...
false
Finset.forall_mem_insertNone
Mathlib.Data.Finset.Option
[ "False", "Option.ctorIdx", "congrArg", "Option.instMembership", "Finset", "False.elim", "PartialOrder.toPreorder", "instInhabitedTrue", "noConfusion_of_Nat", "Preorder.toLE", "Option.some.injEq", "Option.some", "Membership.mem", "_private.Mathlib.Data.Finset.Option.0.Finset.forall_mem_inse...
true
toZ_iterate_pred_of_not_isMin
Mathlib.Order.SuccPred.LinearLocallyFinite
[ "Int.instAddCommGroup", "Eq.mpr", "SubtractionMonoid.toInvolutiveNeg", "Preorder.toLT", "id.eq_1", "toZ_of_eq", "LinearOrder.toDecidableEq", "congrArg", "Int.instLinearOrder", "Int.instMax", "LinearOrder", "Function.iterate_zero", "PartialOrder.toPreorder", "IsPredArchimedean.exists_pred_i...
true
CategoryTheory.Limits.Cocone.precomposeEquivalence._proof_8
Mathlib.CategoryTheory.Limits.Cones
[ "CategoryTheory.Functor", "CategoryTheory.Limits.Cocone", "CategoryTheory.Limits.Cocone.precompose", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "congrArg", "CategoryTheory.Functor.category", "CategoryTheory.Limits.CoconeMorphism.hom", "CategoryTheory.Functor.comp", "CategoryTheory.Fun...
false
Lean.Lsp.PrepareRenameParams._sizeOf_inst
Lean.Data.Lsp.LanguageFeatures
[ "Lean.Lsp.PrepareRenameParams._sizeOf_1", "Lean.Lsp.PrepareRenameParams", "SizeOf.mk", "SizeOf" ]
false
Mathlib.Tactic.ComputeDegree.splitApply
Mathlib.Tactic.ComputeDegree
[ "Pure.pure", "bne", "Lean.Meta.State", "_private.Mathlib.Tactic.ComputeDegree.0.Mathlib.Tactic.ComputeDegree.try_rfl.match_3", "Lean.MVarId", "Lean.Expr", "Lean.Meta.MetaM", "IO.RealWorld", "Prod.mk", "List.mapM", "Lean.Meta.ApplyConfig.mk", "Applicative.toPure", "Lean.MVarId.getType''", "...
true
GroupNorm.groupNormClass
Mathlib.Analysis.Normed.Group.Seminorm
[ "GroupNorm", "Real.partialOrder", "Real", "Monoid.toMulOneClass", "MulLEAddHomClass.mk", "PartialOrder.toPreorder", "Group", "Preorder.toLE", "GroupNorm.funLike", "MulOne.toMul", "DivInvMonoid.toMonoid", "GroupNormClass", "GroupSeminorm.inv'", "Group.toDivInvMonoid", "MulOneClass.toMulOn...
true
IsSepClosed.isCyclotomicExtension
Mathlib.NumberTheory.Cyclotomic.Basic
[ "IsCyclotomicExtension.mk", "Subalgebra.instSetLike", "WithBot.instPreorder", "Polynomial.eval", "Nat.instMulZeroClass", "WithBot", "Lattice.toSemilatticeSup", "CompleteLattice.toLattice", "congrArg", "CommSemiring.toSemiring", "AlgHom", "Polynomial.IsRoot", "AlgHom.funLike", "Polynomial.a...
true
Set.ordConnectedSection
Mathlib.Order.Interval.Set.OrdConnectedComponent
[ "LinearOrder", "Set.Elem", "Set.ordConnectedProj", "Set.range", "Set" ]
true
Subring.toSubsemiring_inj
Mathlib.Algebra.Ring.Subring.Defs
[ "Subring.toSubsemiring_injective", "Subring.toSubsemiring", "Function.Injective.eq_iff", "NonAssocRing", "Subsemiring", "Iff", "Subring", "Eq", "NonAssocRing.toNonAssocSemiring" ]
true
CategoryTheory.InjectiveResolution.Hom.hom
Mathlib.CategoryTheory.Preadditive.Injective.Resolution
[ "CategoryTheory.InjectiveResolution.Hom", "CategoryTheory.Limits.HasZeroMorphisms", "HomologicalComplex.instCategory", "Nat.instOne", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "AddRightCancelSemigroup.toAddSemigroup", "AddCancelMonoid.toAddRightCancelMonoid", "Nat.instAddCancelCommMono...
true
UInt16.ofNat_and
Init.Data.UInt.Bitwise
[ "UInt16.toBitVec", "BitVec.instAndOp", "Nat.instAndOp", "congrArg", "BitVec", "instOfNatNat", "BitVec.ofNat", "UInt16.toBitVec_and", "UInt16.toBitVec_ofNat'", "UInt16.ofNat", "UInt16", "Nat", "congr", "True", "eq_self", "Iff.mp", "of_eq_true", "BitVec.ofNat_and", "HAnd.hAnd", "...
true
_private.Init.Data.Range.Polymorphic.NatLemmas.0.Nat.toList_rco_add_succ_right_eq_append._proof_1_4
Init.Data.Range.Polymorphic.NatLemmas
[ "False", "Lean.Omega.Constraint.not_sat'_of_isImpossible", "Int.natCast_add", "of_decide_eq_true", "le_of_le_of_eq", "Lean.Omega.Constraint.mk", "Int.add_one_le_of_lt", "HSub.hSub", "Lean.Omega.Int.add_congr", "Lean.Omega.LinearCombo.eval", "Option.some", "id", "instDecidableEqBool", "Int....
false
AlgebraicGeometry.RingedSpace.basicOpen_mul
Mathlib.Geometry.RingedSpace.Basic
[ "Set.ext", "RingHom.instRingHomClass", "SetLike.mem_coe._simp_1", "False", "AlgebraicGeometry.SheafedSpace.instTopologicalSpaceCarrierCarrier", "Opposite", "HMul.hMul", "CommRingCat.carrier", "eq_false", "AlgebraicGeometry.PresheafedSpace.carrier", "TopologicalSpace.Opens.instCompleteLattice", ...
true
Associates.out_eq_zero_iff
Mathlib.Algebra.GCDMonoid.Basic
[ "MulZeroClass.toMul", "congrArg", "NormalizationMonoid", "Associates.instZero", "normalize_eq_zero._simp_1", "Associates.mk_eq_zero._simp_1", "CommMonoidWithZero.toMonoidWithZero", "IsCancelMulZero", "Quotient.inductionOn", "Quotient.mk", "iff_self", "Associated.setoid", "Iff", "MonoidWith...
true
Turing.PointedMap._sizeOf_inst
Mathlib.Computability.TuringMachine.Tape
[ "Turing.PointedMap._sizeOf_1", "SizeOf.mk", "Inhabited", "SizeOf", "Turing.PointedMap" ]
false
Subalgebra.linearEquivOp._proof_2
Mathlib.Algebra.Algebra.Subalgebra.MulOpposite
[ "Subsemiring.instSetLike", "MulOpposite", "Subsemiring.toNonAssocSemiring", "Algebra", "Membership.mem", "Subtype", "Distrib.toAdd", "Subalgebra.toSubsemiring", "Equiv.toFun", "Subsemiring", "CommSemiring", "instHAdd", "HAdd.hAdd", "NonAssocSemiring.toNonUnitalNonAssocSemiring", "Subsemi...
false
CategoryTheory.IsSplitEqualizer.asFork_ι
Mathlib.CategoryTheory.Limits.Shapes.SplitEqualizer
[ "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "CategoryTheory.IsSplitEqualizer", "CategoryTheory.Limits.WalkingParallelPair", "CategoryTheory.IsSplitEqualizer.asFork", "CategoryTheory.Limits.walkingParallelPairHomCategory", "CategoryTheory.Limits.Cone.pt", "CategoryTheory.Limits.Fork.ι", "...
true
WithVal.instFaithfulSMul_1
Mathlib.Topology.Algebra.Valued.WithVal
[ "LinearOrderedCommGroupWithZero.toLinearOrderedCommMonoidWithZero", "instHSMul", "FaithfulSMul.eq_of_smul_eq_smul", "SMul", "Eq.mp", "WithVal.ofVal", "LinearOrderedCommGroupWithZero", "WithVal.instSMul", "FaithfulSMul", "FaithfulSMul.mk", "WithVal.toVal.injEq", "WithVal", "HSMul.hSMul", "E...
true
Int.ediv_eq_one_of_neg_of_le
Init.Data.Int.DivMod.Lemmas
[ "Eq.mpr", "Int.instDiv", "_private.Init.Data.Int.DivMod.Lemmas.0.Int.ediv_eq_one_of_neg_of_le._proof_1_3", "instHDiv", "Int.ediv.eq_5", "Nat.succ_eq_add_one", "Nat.add_eq_right", "congrArg", "Int.neg_le_neg_iff._simp_1", "Int.ofNat_inj._simp_1", "Int.ofNat_le._simp_1", "_private.Init.Data.Int....
true
List.prefix_iff_eq_take
Init.Data.List.Sublist
[ "List.take_append_drop", "Eq.rec", "List.append_cancel_right", "instHAppendOfAppend", "List", "Iff", "List.drop", "List.IsPrefix", "List.take_prefix", "Iff.intro", "List.prefix_iff_eq_append", "Iff.mp", "List.instAppend", "Eq.symm", "Eq", "List.take", "List.length", "HAppend.hAppen...
true
_private.Init.Grind.ToInt.0.Lean.Grind.instDecidableEqIntInterval.decEq._proof_8
Init.Grind.ToInt
[ "Int", "Lean.Grind.IntInterval.ci", "Eq", "rfl", "Lean.Grind.IntInterval" ]
false
_private.Mathlib.Algebra.Homology.Factorizations.CM5a.0.CochainComplex.Plus.modelCategoryQuillen.cm5a_cof.instQuasiIsoIntι._proof_2
Mathlib.Algebra.Homology.Factorizations.CM5a
[ "_private.Mathlib.Algebra.Homology.Factorizations.CM5a.0.CochainComplex.Plus.modelCategoryQuillen.cm5a_cof.mid._proof_1", "CategoryTheory.Abelian.toPreadditive", "HomologicalComplex.instCategory", "Opposite", "CategoryTheory.Mono", "CategoryTheory.Factorisation", "CategoryTheory.CategoryStruct.toQuiver"...
false
ContMDiff.prodMk_space
Mathlib.Geometry.Manifold.ContMDiff.Constructions
[ "Prod.normedSpace", "chartedSpaceSelf", "Prod.normedAddCommGroup", "NormedSpace", "ContMDiff", "PseudoMetricSpace.toUniformSpace", "instTopologicalSpaceProd", "ContMDiffAt.prodMk_space", "Prod.mk", "TopologicalSpace", "ModelWithCorners", "SeminormedAddCommGroup.toPseudoMetricSpace", "ENat", ...
true
Lean.Compiler.LCNF.Phase.noConfusionType
Lean.Compiler.LCNF.CompilerM
[ "noConfusionTypeEnum", "Lean.Compiler.LCNF.Phase", "Nat", "Lean.Compiler.LCNF.Phase.ctorIdx", "instDecidableEqNat" ]
true
NeZero.pos
Mathlib.Algebra.Order.IsBotOne
[ "Ne.pos", "Preorder.toLT", "PartialOrder.toPreorder", "Preorder.toLE", "PartialOrder", "IsBotZeroClass", "LT.lt", "NeZero.out", "Zero.toOfNat0", "NeZero", "OfNat.ofNat", "Zero" ]
true
FintypeCat.toProfinite._proof_2
Mathlib.Topology.Category.Profinite.Basic
[ "CompHausLike.ofHom", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "Finite.compactSpace", "CategoryTheory.ConcreteCategory.hom", "ContinuousMap.mk", "Finite", "FintypeCat", "TypeCat.instFunLikeFun", "CategoryTheory.CategoryStruct.id", "CategoryTheory.ObjectProperty.FullSubcategory.con...
false
Lean.Core.Context.mk._flat_ctor
Lean.CoreM
[ "String", "Lean.FileMap", "Std.HashSet", "Lean.Syntax", "Lean.Core.Context.mk", "List", "Nat", "Bool", "Lean.MacroScope", "Lean.Name", "IO.CancelToken", "Lean.Options", "Lean.Name.instBEq", "Lean.Core.Context", "Lean.OpenDecl", "Option", "Lean.instHashableName" ]
false
_private.Mathlib.Combinatorics.Matroid.Constructions.0.Matroid.freeOn_isBase_iff._simp_1_3
Mathlib.Combinatorics.Matroid.Constructions
[ "HasSubset.Subset", "SDiff.sdiff", "propext", "Set.instEmptyCollection", "EmptyCollection.emptyCollection", "Eq", "Set.diff_eq_empty", "Set.instSDiff", "Set.instHasSubset", "Set" ]
false
DistLat.dual_map
Mathlib.Order.Category.DistLat
[ "DistLat.of", "Equiv.instEquivLike", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "OrderDual.instDistribLattice", "DistLat.str", "DistribLattice.toLattice", "Equiv", "DistLat.instCategory", "LatticeHom", "DistLat.ofHom", "OrderDual.instLattice", "CategoryTheory.Functor.map", "La...
true
BoundedContinuousFunction.instNonUnitalSeminormedRing._proof_5
Mathlib.Topology.ContinuousMap.Bounded.Normed
[ "BoundedContinuousFunction.instNonUnitalRing", "NonUnitalSeminormedRing", "HMul.hMul", "NonUnitalNonAssocRing.toMul", "AddMonoid.toZero", "NonUnitalNonAssocRing.toAddCommGroup", "AddCommGroup.toAddGroup", "NonUnitalRing.toNonUnitalNonAssocRing", "NonUnitalNonAssocRing.mul_zero", "TopologicalSpace"...
false
CategoryTheory.SplitMono.mk
Mathlib.CategoryTheory.EpiMono
[ "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "CategoryTheory.SplitMono.mk", "CategoryTheory.CategoryStruct.id", "CategoryTheory.SplitMono.id._autoParam", "autoParam", "CategoryTheory.CategoryStruct.comp", "CategoryTheory.Category.toCategoryStruct", "Eq", "CategoryTheory.SplitMono", "C...
true
CochainComplex.Lifting.cocycle₁.eq_1
Mathlib.Algebra.Homology.ModelCategory.Lifting
[ "CategoryTheory.Abelian.toPreadditive", "CochainComplex.Lifting.cochain₁", "CochainComplex.Lifting.cochain₀._proof_1", "HomologicalComplex.instCategory", "CategoryTheory.Limits.KernelFork.ofι", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "CategoryTheory.Limits.WalkingParallelPair", "Cate...
true
_private.Init.Data.Range.Polymorphic.SInt.0.Int32.instHasModelBitVecOfNatNat._proof_7
Init.Data.Range.Polymorphic.SInt
[ "Int32.toBitVec", "instOfNatNat", "iff_self", "Bool.true", "Iff", "BitVec.slt", "Nat", "True", "Bool", "of_eq_true", "implies_true", "OfNat.ofNat", "Eq", "Int32", "Eq.trans", "forall_congr" ]
false
CategoryTheory.GradedObject.braidedCategory._proof_1
Mathlib.CategoryTheory.GradedObject.Braiding
[ "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "CategoryTheory.MonoidalCategory", "CategoryTheory.GradedObject.Monoidal.braiding", "CategoryTheory.GradedObject.Monoidal.tensorObj", "CategoryTheory.GradedObject.Monoidal.whiskerLeft", "AddCommMonoid", "CategoryTheory.BraidedCategory", "Catego...
false
IsometryEquiv.toRealAffineIsometryEquiv._proof_2
Mathlib.Analysis.Normed.Affine.MazurUlam
[ "AddCommGroup.toAddGroup", "AddTorsor.nonempty", "NormedAddTorsor.toAddTorsor", "MetricSpace", "SeminormedAddCommGroup.toAddCommGroup", "Nonempty", "MetricSpace.toPseudoMetricSpace", "NormedAddCommGroup.toSeminormedAddCommGroup", "NormedAddCommGroup", "NormedAddTorsor" ]
false
CategoryTheory.Functor.IsTriangulated.instAdditive
Mathlib.CategoryTheory.Triangulated.Functor
[ "CategoryTheory.Functor.IsTriangulated", "CategoryTheory.Functor", "CategoryTheory.Functor.Additive", "CategoryTheory.shiftFunctor", "CategoryTheory.Functor.IsTriangulated.instPreservesZeroMorphisms", "CategoryTheory.Pretriangulated.instHasFiniteProducts", "Int", "Int.instAddMonoid", "CategoryTheory...
true
CategoryTheory.PreOneHypercover.comp_s₀
Mathlib.CategoryTheory.Sites.Hypercover.One
[ "CategoryTheory.PreOneHypercover", "CategoryTheory.PreOneHypercover.toPreZeroHypercover", "CategoryTheory.PreOneHypercover.Hom.toHom", "CategoryTheory.PreZeroHypercover.I₀", "CategoryTheory.CategoryStruct.comp", "Eq.refl", "CategoryTheory.Category.toCategoryStruct", "CategoryTheory.PreZeroHypercover.H...
true
_private.Mathlib.Data.List.Count.0.List.countP_erase._proof_1_5
Mathlib.Data.List.Count
[ "List.countP", "Lean.Grind.CommRing.le_norm_expr", "Lean.Grind.instOrderedRingInt", "Lean.RArray.leaf", "HMul.hMul", "Lean.Grind.CommRing.Expr.mul", "Lean.Grind.CommRing.Expr.var", "Lean.Grind.Order.le_of_eq_2_k", "Std.IsLinearPreorder.toIsPreorder", "Lean.Grind.Order.le_eq_true_of_le_k", "Lean....
false
Algebra.SubmersivePresentation.basisKaehlerOfIsCompl._proof_3
Mathlib.RingTheory.Smooth.StandardSmoothCotangent
[ "CommRing", "Algebra.Extension.commRing", "NonUnitalCommRing.toNonUnitalNonAssocCommRing", "Semiring.toModule", "CommRing.toNonUnitalCommRing", "instAddCommGroupKaehlerDifferential", "CommSemiring.toSemiring", "AddCommGroup.toAddCommMonoid", "TensorProduct.addCommMonoid", "Algebra.SubmersivePresen...
false
HomotopyCategory.composableArrowsFunctor._proof_2
Mathlib.Algebra.Homology.HomotopyCategory.SpectralObject
[ "le_rfl", "instOfNatNat", "LE.le", "instLENat", "Nat.instPreorder", "Nat", "OfNat.ofNat" ]
false
Lean.Elab.FixedParams.Info.setVarying._unsafe_rec
Lean.Elab.PreDefinition.FixedParams
[ "Pure.pure", "Option.instDecidableEq", "Std.Rio.instForIn'InferInstanceMembershipOfLawfulUpwardEnumerableOfLawfulUpwardEnumerableLTOfLawfulUpwardEnumerableLeast?OfMonadOfFiniteIteratorId", "instForInOfForIn'", "Monad.toApplicative", "Std.PRange.instLawfulUpwardEnumerableLeast?Nat", "Lean.Elab.FixedParam...
false
CategoryTheory.Limits.PreservesBiproductsOfShape
Mathlib.CategoryTheory.Limits.Preserves.Shapes.Biproducts
[ "CategoryTheory.Limits.HasZeroMorphisms", "CategoryTheory.Functor", "CategoryTheory.Limits.PreservesBiproductsOfShape.mk", "CategoryTheory.Functor.PreservesZeroMorphisms", "CategoryTheory.Category" ]
true
BddAbove.convolutionExistsAt
Mathlib.Analysis.Convolution
[ "AddGroup.toSubtractionMonoid", "Norm.norm", "Eq.mpr", "NegZeroClass.toNeg", "NormedCommRing.toSeminormedCommRing", "Real.instLE", "Real", "MeasureTheory.Measure", "NormedSpace.toIsBoundedSMul", "UniformContinuousConstSMul.to_continuousConstSMul", "MeasurableSet", "NormedSpace", "AddMonoid.t...
true
Lean.Json.«termJson%_»
Lean.Data.Json.Elab
[ "Lean.Name.mkStr3", "instOfNatNat", "Lean.ParserDescr.binary", "Lean.ParserDescr", "Lean.ParserDescr.node", "Nat", "Lean.ParserDescr.symbol", "Lean.ParserDescr.cat", "OfNat.ofNat", "Lean.Name.mkStr1" ]
true
Lean.Elab.Term.Do.Code.rec_3
Lean.Elab.Do.Legacy
[ "Lean.Elab.Term.Do.Code.reassign", "Lean.Elab.Term.Do.Code.match", "Lean.Syntax", "Lean.Elab.Term.Do.Var", "Lean.Elab.Term.Do.Code.action", "Lean.Elab.Term.Do.Code.return", "List.cons", "Array", "Lean.Elab.Term.Do.Code.matchExpr", "Lean.Elab.Term.Do.Alt.mk", "Lean.Elab.Term.Do.Code.decl", "Lea...
false
CategoryTheory.MonoidalCategory.MonoidalRightAction.actionOfMonoidalFunctorToEndofunctor_actionHomLeft
Mathlib.CategoryTheory.Monoidal.Action.End
[ "CategoryTheory.Functor", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "CategoryTheory.MonoidalCategory", "CategoryTheory.Functor.category", "CategoryTheory.MonoidalCategory.MonoidalRightAction.toMonoidalRightActionStruct", "CategoryTheory.Functor.map", "CategoryTheory.endofunctorMonoidalCa...
true
instInhabitedRealizerEmptyCollectionSet
Mathlib.Data.Analysis.Topology
[ "Membership.mem", "nhds", "CompleteLattice.toConditionallyCompleteLattice", "Subtype", "HasSubset.Subset", "Ne", "Bot.bot", "Filter.instInf", "Compact.Realizer", "TopologicalSpace", "And", "absurd", "Filter.Realizer.F", "Set.instEmptyCollection", "CompleteBooleanAlgebra.toCompleteLattice...
true
_private.Lean.Widget.InteractiveDiagnostic.0.Lean.Widget.EmbedFmt.goal.injEq
Lean.Widget.InteractiveDiagnostic
[ "_private.Lean.Widget.InteractiveDiagnostic.0.Lean.Widget.EmbedFmt", "Eq.propIntro", "Lean.injEq_helper", "Lean.MVarId", "Lean.Elab.ContextInfo", "And", "_private.Lean.Widget.InteractiveDiagnostic.0.Lean.Widget.EmbedFmt.goal", "Eq.ndrec", "Eq.refl", "_private.Lean.Widget.InteractiveDiagnostic.0.Le...
true
CategoryTheory.HasExt._proof_1
Mathlib.Algebra.Homology.DerivedCategory.Ext.Basic
[ "Int.instAddCommGroup", "IsRightCancelAdd", "AddLeftCancelSemigroup.toIsLeftCancelAdd", "Int.instLinearOrder", "PartialOrder.toPreorder", "instIsRightCancelAddOfAddRightReflectLE", "AddCommGroup.toAddCancelCommMonoid", "Preorder.toLE", "SemilatticeInf.toPartialOrder", "contravariant_lt_of_covarian...
false
_private.Std.Tactic.BVDecide.Bitblast.BVExpr.Circuit.Impl.Operations.ShiftRight.0.Std.Tactic.BVDecide.BVExpr.bitblast.blastArithShiftRightConst._proof_1
Std.Tactic.BVDecide.Bitblast.BVExpr.Circuit.Impl.Operations.ShiftRight
[ "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.ofNat_sub_dichotomy", "Lean.Omega.Int.add_congr", "Lean.Omega.LinearCombo.eval"...
false
_private.Init.Data.Range.Polymorphic.Lemmas.0.Std.Internal.iter_roo_eq_iter_rco_of_isSome_succ?
Init.Data.Range.Polymorphic.Lemmas
[ "Std.PRange.UpwardEnumerable", "congrArg", "Option.some", "Std.Rxo.Iterator.mk", "Std.Rxo.Iterator", "Std.Rco.Internal.iter", "Std.PRange.UpwardEnumerable.succ?", "Option.some_get", "Bool.true", "Std.Rco.upper", "Std.Iter.mk", "Std.Roo.Internal.iter", "Std.Iter", "Option.get", "True", ...
true
ContinuousAlternatingMap.restrictScalarsCLM._proof_4
Mathlib.Topology.Algebra.Module.Alternating.Topology
[ "NormedCommRing.toSeminormedCommRing", "DistribMulAction.toDistribSMul", "AddCommGroup.toAddCommMonoid", "IsScalarTower", "AddMonoid.toAddZeroClass", "SeminormedRing.toRing", "AddCommGroup.toAddGroup", "Algebra.toSMul", "NormedField.toField", "AddZeroClass.toAddZero", "AddCommGroup", "DistribS...
false
TwoSidedIdeal.map_mono
Mathlib.RingTheory.TwoSidedIdeal.Operations
[ "NonUnitalNonAssocRing", "TwoSidedIdeal.span_mono", "TwoSidedIdeal", "Set.image_mono", "PartialOrder.toPreorder", "Preorder.toLE", "LE.le", "SetLike.coe", "TwoSidedIdeal.setLike", "Set.image", "TwoSidedIdeal.map", "DFunLike.coe", "FunLike", "TwoSidedIdeal.instPartialOrder" ]
true
CategoryTheory.Functor.mapCoconePrecompose._proof_2
Mathlib.CategoryTheory.Limits.Cones
[ "CategoryTheory.Functor", "CategoryTheory.Limits.Cocone", "CategoryTheory.Functor.mapCocone", "CategoryTheory.Limits.Cocone.precompose", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "congrArg", "CategoryTheory.Functor.category", "CategoryTheory.Functor.comp", "CategoryTheory.Iso.refl", ...
false
Set.diff_subset_iff
Mathlib.Order.BooleanAlgebra.Set
[ "Set.instUnion", "HasSubset.Subset", "BiheytingAlgebra.toCoheytingAlgebra", "LE.le", "BooleanAlgebra.toBiheytingAlgebra", "SDiff.sdiff", "Iff", "Set.instLE", "Set.instBooleanAlgebra", "CoheytingAlgebra.toGeneralizedCoheytingAlgebra", "sdiff_le_iff", "Union.union", "Set.instSDiff", "Set.ins...
true
Std.ExtHashMap.size_insertManyIfNewUnit_list_le
Std.Data.ExtHashMap.Lemmas
[ "instForInOfForIn'", "Std.ExtHashMap.inner", "inferInstance", "LE.le", "Std.ExtHashMap.insertManyIfNewUnit", "instLENat", "Id", "Membership", "LawfulHashable", "Std.ExtHashMap.size", "Std.ExtHashMap", "List", "instHAdd", "Unit", "EquivBEq", "Std.ExtDHashMap.Const.size_insertManyIfNewUn...
true
Subsemiring.pointwise_smul_le_pointwise_smul_iff₀._simp_1
Mathlib.Algebra.Ring.Subsemiring.Pointwise
[ "GroupWithZero.toMonoidWithZero", "instHSMul", "PartialOrder.toPreorder", "GroupWithZero", "Preorder.toLE", "Subsemiring.instPartialOrder", "Ne", "LE.le", "Subsemiring", "MonoidWithZero.toMulZeroOneClass", "propext", "MulSemiringAction", "Monoid.toSemigroup", "Semiring", "Zero.toOfNat0",...
false
SimpleGraph.Walk.edgeSet_map
Mathlib.Combinatorics.SimpleGraph.Walk.Maps
[ "SimpleGraph.Walk.map", "Set.ext", "Sym2.map", "RelHom.instFunLike", "congrArg", "List.map", "SimpleGraph.Adj", "Set.mem_image._simp_1", "SimpleGraph.Walk", "Membership.mem", "Exists", "SimpleGraph.Walk.mem_edgeSet._simp_1", "SimpleGraph", "iff_self", "funext", "List", "And", "Iff"...
true
Std.DTreeMap.Internal.RciSliceData.mk._flat_ctor
Std.Data.DTreeMap.Internal.Zipper
[ "Std.Rci", "Ord", "Std.DTreeMap.Internal.RciSliceData.mk", "Std.DTreeMap.Internal.RciSliceData", "Std.DTreeMap.Internal.Impl" ]
false
MeasureTheory.Measure.mem_support_iff
Mathlib.MeasureTheory.Measure.Support
[ "MeasureTheory.Measure", "Preorder.toLT", "Filter.smallSets", "Iff.rfl", "PartialOrder.toPreorder", "Membership.mem", "nhds", "Filter.Frequently", "MeasureTheory.Measure.support", "MeasurableSpace", "TopologicalSpace", "Iff", "LT.lt", "ENNReal", "ENNReal.instPartialOrder", "Zero.toOfNa...
true
_private.Mathlib.RingTheory.Smooth.Quotient.0.Algebra.FormallySmooth.of_surjective_of_ker_eq_map_of_flat._simp_1_6
Mathlib.RingTheory.Smooth.Quotient
[ "Submodule", "AddMonoid.toAddZeroClass", "LinearMap.ker", "LinearMap.instFunLike", "RingHom", "Membership.mem", "AddZeroClass.toAddZero", "LinearMap", "AddCommMonoid", "LinearMap.mem_ker", "AddZero.toZero", "Submodule.setLike", "propext", "Semiring", "Zero.toOfNat0", "AddCommMonoid.toA...
false
CategoryTheory.Over.isColimitToOver._proof_1
Mathlib.CategoryTheory.Limits.Over
[ "CategoryTheory.Over", "CategoryTheory.Functor", "CategoryTheory.Limits.Cocone", "CategoryTheory.CreatesColimit.toReflectsColimit", "CategoryTheory.Functor.comp", "CategoryTheory.Over.forget", "CategoryTheory.CostructuredArrow", "CategoryTheory.instCategoryOver", "CategoryTheory.CreatesColimitsOfSiz...
false
AddChar.mk.inj
Mathlib.Algebra.Group.AddChar
[ "Monoid", "MulOne.toOne", "HMul.hMul", "AddMonoid.toAddSemigroup", "Monoid.toMulOneClass", "AddMonoid.toAddZeroClass", "AddChar", "AddZeroClass.toAddZero", "MulOne.toMul", "AddChar.mk.noConfusion", "AddChar.mk", "AddZero.toZero", "instHAdd", "AddSemigroup.toAdd", "MulOneClass.toMulOne", ...
true
Opens.mayerVietorisSquare._proof_6
Mathlib.Topology.Sheaves.MayerVietoris
[ "Opens.mayerVietorisSquare._proof_3", "Lattice.toSemilatticeSup", "Opens.mayerVietorisSquare._proof_4", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "le_sup_left", "TopologicalSpace.Opens.instCompleteLattice", "TopologicalSpace.Opens.instPartialOrder", "PartialOrder.toPreorder", "Topolo...
false
_private.Mathlib.Tactic.GRewrite.Elab.0.Mathlib.Tactic.grewriteTarget
Mathlib.Tactic.GRewrite.Elab
[ "Lean.MVarId.withContext", "Mathlib.Tactic.GRewriteResult.mvarIds", "Lean.instMonadMCtxOfMonadLift", "ReaderT", "monadFunctorRefl", "instMonadControlTOfPure", "Lean.Elab.Tactic.getMainGoal", "Lean.MVarId.getTag", "Lean.MVarId.assign", "Lean.Meta.State", "instMonadLiftT", "Lean.Elab.Tactic.Cont...
true
Std.Sat.AIG.RelabelNat.State.mk.inj
Std.Sat.AIG.RelabelNat
[ "Std.Sat.AIG.Decl", "Std.HashMap", "instBEqOfDecidableEq", "Std.Sat.AIG.RelabelNat.State.Inv2", "Array", "And", "Nat", "Std.Sat.AIG.RelabelNat.State", "And.intro", "Std.Sat.AIG.RelabelNat.State.Inv1", "eq_of_heq", "HEq", "Std.Sat.AIG.RelabelNat.State.mk", "Hashable", "Eq", "Std.Sat.AIG...
true
SimpleGraph.ConnectedComponent.supp_inj._simp_1
Mathlib.Combinatorics.SimpleGraph.Connectivity.Connected
[ "SimpleGraph.ConnectedComponent", "SimpleGraph", "propext", "Eq", "SimpleGraph.ConnectedComponent.supp_inj", "SimpleGraph.ConnectedComponent.supp", "Set" ]
false
ULift.instCompleteLattice._proof_5
Mathlib.Order.CompleteLattice.Lemmas
[ "Lattice.toSemilatticeSup", "CompleteLattice.toLattice", "ULift", "SemilatticeSup.toMax", "Max.max", "ULift.down_sup", "CompleteLattice", "ULift.instMax_mathlib", "Eq", "ULift.down" ]
false
_private.Mathlib.LinearAlgebra.Finsupp.Span.0.Submodule.mem_sSup_iff_exists_finset.match_1_1
Mathlib.LinearAlgebra.Finsupp.Span
[ "Submodule", "iSup", "Finset", "Submodule.completeLattice", "Membership.mem", "Exists", "CompleteLattice.toConditionallyCompleteLattice", "Subtype", "AddCommMonoid", "Exists.casesOn", "Finset.instSetLike", "Submodule.setLike", "Exists.intro", "Semiring", "ConditionallyCompleteLattice.toC...
false
_private.Lean.Elab.Tactic.Omega.Frontend.0.Lean.Elab.Tactic.Omega.omegaImpl.match_1
Lean.Elab.Tactic.Omega.Frontend
[ "Lean.Elab.Tactic.Omega.Proof", "Lean.Elab.Tactic.Omega.Problem.proveFalse?", "Lean.Elab.Tactic.Omega.Problem", "Option.casesOn", "Option.some", "Lean.Elab.Tactic.Omega.Problem.possible", "Bool.true", "Option.none", "Bool.casesOn", "Bool", "Bool.or", "Eq.refl", "Option.isSome", "Bool.false...
false
Lean.Lsp.instToJsonDocumentHighlight
Lean.Data.Lsp.LanguageFeatures
[ "Lean.Lsp.DocumentHighlight", "Lean.ToJson.mk", "Lean.ToJson", "Lean.Lsp.instToJsonDocumentHighlight.toJson" ]
true
_private.Mathlib.Computability.NFA.0.NFA.nil_mem_acceptsFrom._simp_1_1
Mathlib.Computability.NFA
[ "NFA.evalFrom", "NFA", "Membership.mem", "Exists", "NFA.accept", "List", "And", "NFA.mem_acceptsFrom", "propext", "Language.instMembershipList", "NFA.acceptsFrom", "Language", "Eq", "Set.instMembership", "Set" ]
false
Lean.Elab.Tactic.BVDecide.Frontend.Normalize.SizeState.relevantTerms
Lean.Elab.Tactic.BVDecide.Frontend.Normalize.IntToBitVec
[ "Lean.Elab.Tactic.BVDecide.Frontend.Normalize.SizeState", "Lean.Expr.instBEq", "Std.HashSet", "Lean.Expr", "Lean.Expr.instHashable" ]
true
Function.Injective.generalizedCoheytingAlgebra._proof_2
Mathlib.Order.Heyting.Basic
[ "Eq.mpr", "Preorder.toLT", "Lattice.toSemilatticeSup", "congrArg", "Iff.rfl", "PartialOrder.toPreorder", "GeneralizedCoheytingAlgebra", "Preorder.toLE", "SemilatticeInf.toPartialOrder", "SemilatticeSup.toMax", "Max", "id", "SemilatticeInf.toMin", "LE.le", "LE", "Min", "SDiff.sdiff", ...
false
NNReal.image_coe_uIcc
Mathlib.Data.NNReal.Basic
[ "Real", "Set.Ici", "Real.lattice", "Real.instZero", "Set.ordConnected_Ici", "PartialOrder.toPreorder", "SemilatticeInf.toPartialOrder", "DistribLattice.toLattice", "NNReal", "ConditionallyCompleteLinearOrder.toConditionallyCompleteLattice", "NNReal.instConditionallyCompleteLinearOrderBot", "Co...
true
Std.Tactic.BVDecide.BVExpr.decEq._proof_125
Std.Tactic.BVDecide.Bitblast.BVExpr.Basic
[ "False", "eq_false", "congrArg", "UInt64", "HEq.refl", "heq_eq_eq", "Eq.rec", "Eq.casesOn", "Ne", "Std.Tactic.BVDecide.BVExpr.shiftLeft", "And", "Hashable.hash", "Nat", "congr", "True", "eq_self", "of_eq_true", "eq_of_heq", "Eq.ndrec", "Eq.refl", "HEq", "Std.Tactic.BVDecide...
false
Part.bind
Mathlib.Data.Part
[ "Part", "Part.get", "Part.assert", "Part.Dom" ]
true
List.forall_cons
Mathlib.Data.List.Basic
[ "trivial", "and_iff_left_of_imp", "Iff.rfl", "List.cons", "List", "And", "Unit", "Iff", "List.Forall", "True", "List.uniqueOfIsEmpty.match_1", "Iff.symm", "List.nil" ]
true
Tropical.instCommGroupOfAddCommGroup._proof_1
Mathlib.Algebra.Tropical.Basic
[ "Semigroup.toMul", "HMul.hMul", "AddCommGroup.toAddCommMonoid", "AddCommGroup.toAddGroup", "AddCommGroup", "DivInvMonoid.toMonoid", "add_comm", "Tropical", "Group.toDivInvMonoid", "Monoid.toSemigroup", "Tropical.instGroupTropical", "AddCommSemigroup.toAddCommMagma", "AddCommMonoid.toAddCommS...
false
CategoryTheory.NatTrans.isIso_iff_isIso_app
Mathlib.CategoryTheory.NatIso
[ "CategoryTheory.Functor", "CategoryTheory.NatIso.isIso_app_of_isIso", "CategoryTheory.IsIso", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "CategoryTheory.NatIso.isIso_of_isIso_app", "CategoryTheory.Functor.category", "inferInstance", "Iff", "Iff.intro", "CategoryTheory.Category.toCat...
true
Cardinal.cantor'
Mathlib.SetTheory.Cardinal.Basic
[ "Eq.mpr", "NonAssocSemiring.toAddCommMonoidWithOne", "Cardinal.power_le_power_right", "Preorder.toLT", "Cardinal.instOne", "Order.succ", "of_decide_eq_true", "Cardinal.instPowCardinal", "Cardinal.succ_natCast", "Cardinal", "congrArg", "CommSemiring.toSemiring", "Nat.cast_add._simp_1", "Car...
true
Matrix.toLinearMap₂'._proof_1
Mathlib.LinearAlgebra.Matrix.SesquilinearForm
[ "Pi.Function.module", "Semiring.toModule", "Pi.addCommMonoid", "CommSemiring.toSemiring", "DistribMulAction.toDistribSMul", "LinearMap.instSMulCommClass", "AddMonoid.toAddZeroClass", "AddZeroClass.toAddZero", "DistribSMul.toSMulZeroClass", "LinearMap", "AddCommMonoid", "CommSemiring", "NonUn...
false
Mathlib.Tactic.Ring.Common.mul_exp_pos
Mathlib.Tactic.Ring.Common
[ "HMul.hMul", "Nat.instMonoid", "Nat.mul_pos", "instMulNat", "instOfNatNat", "Monoid.toPow", "HPow.hPow", "Nat", "LT.lt", "Nat.pow_pos", "instHPow", "instLTNat", "OfNat.ofNat", "instHMul" ]
true
OrderHom.copy
Mathlib.Order.Hom.Basic
[ "OrderHom.copy._proof_1", "OrderHom.instFunLike", "OrderHom.mk", "Eq", "DFunLike.coe", "OrderHom", "Preorder" ]
true
_private.Mathlib.GroupTheory.Coxeter.Basic.0.CoxeterSystem.termπ_
Mathlib.GroupTheory.Coxeter.Basic
[ "Lean.Name.mkNum", "Lean.Name.mkStr", "instOfNatNat", "Lean.ParserDescr.binary", "Lean.Name.anonymous", "Lean.ParserDescr", "Lean.ParserDescr.node", "Nat", "Lean.ParserDescr.symbol", "Lean.ParserDescr.cat", "OfNat.ofNat", "Lean.Name.mkStr1" ]
true
_private.Mathlib.Algebra.Lie.Ideal.0.LieIdeal.coe_map_of_surjective._simp_1_1
Mathlib.Algebra.Lie.Ideal
[ "SetLike", "Membership.mem", "SetLike.coe", "SetLike.mem_coe", "propext", "Eq", "Set.instMembership", "SetLike.instMembership", "Set" ]
false
MeasureTheory.convolution_mono_right_of_nonneg
Mathlib.Analysis.Convolution
[ "Real.instIsOrderedRing", "Eq.mpr", "InnerProductSpace.toNormedSpace", "mul_nonneg", "NormedCommRing.toSeminormedCommRing", "MeasureTheory.integral_nonneg", "Real.partialOrder", "Real.instLE", "Real", "MeasureTheory.Measure", "Semiring.toModule", "IsOrderedRing.toPosMulMono", "RCLike.toNorme...
true
_private.Mathlib.Data.Set.Accumulate.0.Set.exists_accumulate_eq_univ_iff_of_directed.match_1_1
Mathlib.Data.Set.Accumulate
[ "Set.univ", "Exists", "Exists.casesOn", "Nat", "Exists.intro", "Eq", "Set" ]
false
Std.DTreeMap.Internal.Impl.getD_alter
Std.Data.DTreeMap.Internal.Lemmas
[ "Eq.mpr", "Std.Internal.List.DistinctKeys", "instDecidableEqOrdering", "dite_congr", "Std.DTreeMap.Internal.Impl.SizedBalancedTree.impl", "Ord", "Std.instLawfulBEqOrd", "congrArg", "Std.Internal.List.getValueCast?", "Std.DTreeMap.Internal.Impl.get?", "beqOfOrd", "Std.DTreeMap.Internal.Impl.Ord...
true
CategoryTheory.Coyoneda.objOpOp
Mathlib.CategoryTheory.Yoneda
[ "CategoryTheory.Functor", "CategoryTheory.opEquiv", "Opposite", "CategoryTheory.coyoneda", "Quiver.opposite", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "CategoryTheory.Functor.category", "CategoryTheory.yoneda", "CategoryTheory.Iso", "Equiv.toIso", "CategoryTheory.Coyoneda.objOpO...
true
_private.Mathlib.Topology.MetricSpace.Infsep.0.Set.einfsep_of_fintype._simp_1_2
Mathlib.Topology.MetricSpace.Infsep
[ "propext", "imp_forall_iff", "Eq" ]
false
Bundle.Trivialization.continuousOn_proj
Mathlib.Topology.FiberBundle.Trivialization
[ "continuousOn_of_forall_continuousAt", "instTopologicalSpaceProd", "TopologicalSpace", "Bundle.Trivialization", "Bundle.Trivialization.continuousAt_proj", "PartialEquiv.source", "ContinuousOn", "Prod", "OpenPartialHomeomorph.toPartialEquiv", "Bundle.Trivialization.toOpenPartialHomeomorph" ]
true
_private.Init.Data.Int.Gcd.0.Int.gcd_pos_iff._simp_1_2
Init.Data.Int.Gcd
[ "Decidable", "Decidable.not_and_iff_not_or_not", "And", "propext", "Or", "Eq", "Not" ]
false
_private.Mathlib.AlgebraicGeometry.EllipticCurve.Projective.Formula.0.WeierstrassCurve.Projective.negY_smul._simp_1_2
Mathlib.AlgebraicGeometry.EllipticCurve.Projective.Formula
[ "CommRing", "instHSMul", "instSMulOfMul", "HMul.hMul", "CommSemiring.toSemiring", "Fin.instOfNat", "Function.hasSMul", "instOfNatNat", "instDistribOfSemiring", "CommRing.toCommSemiring", "Distrib.toMul", "Nat.instNeZeroSucc", "Nat", "HSMul.hSMul", "OfNat.ofNat", "WeierstrassCurve.Proje...
false
_private.Mathlib.GroupTheory.Perm.Support.0.Equiv.Perm.support_noncommProd._simp_1_3
Mathlib.GroupTheory.Perm.Support
[ "Finset", "Membership.mem", "SetLike.coe", "Finset.instSetLike", "propext", "Eq", "Set.instMembership", "Finset.mem_coe", "SetLike.instMembership", "Set" ]
false
UpperSet.instSetLike.eq_1
Mathlib.Order.UpperLower.CompleteLattice
[ "SetLike", "UpperSet", "UpperSet.instSetLike", "LE", "SetLike.mk", "UpperSet.carrier", "Eq.refl", "Eq", "UpperSet.instSetLike._proof_1", "Set" ]
true