name
stringlengths
2
347
module
stringlengths
6
90
deps
listlengths
0
692
allowCompletion
bool
2 classes
MeasureTheory.L1.measurable_coeFn
Mathlib.MeasureTheory.Function.L1Space.AEEqFun
[ "MeasureTheory.Measure", "NormedAddCommGroup.toMetricSpace", "MeasureTheory.Lp.stronglyMeasurable", "MeasureTheory.AEEqFun.cast", "MeasureTheory.StronglyMeasurable.measurable", "Measurable", "PseudoMetricSpace.toUniformSpace", "AddCommGroup.toAddGroup", "Membership.mem", "BorelSpace", "Subtype",...
true
CategoryTheory.EnrichedNatTrans.mk
Mathlib.CategoryTheory.Enriched.Basic
[ "CategoryTheory.categoryForgetEnrichment", "CategoryTheory.Functor", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "CategoryTheory.MonoidalCategory", "CategoryTheory.Functor.category", "CategoryTheory.EnrichedFunctor", "CategoryTheory.EnrichedNatTrans.mk", "CategoryTheory.EnrichedNatTrans"...
true
_private.Mathlib.Analysis.Complex.PhragmenLindelof.0.PhragmenLindelof.horizontal_strip._simp_1_9
Mathlib.Analysis.Complex.PhragmenLindelof
[ "instHDiv", "HMul.hMul", "DivisionCommMonoid.toDivisionMonoid", "DivInvOneMonoid.toInvOneClass", "Monoid.toMulOneClass", "DivisionCommMonoid", "DivisionMonoid.toDivInvOneMonoid", "MulOne.toMul", "HDiv.hDiv", "DivInvMonoid.toMonoid", "DivisionMonoid.toDivInvMonoid", "MulOneClass.toMulOne", "I...
false
Matrix.mulVec_empty
Mathlib.LinearAlgebra.Matrix.Notation
[ "Matrix", "NonUnitalNonAssocSemiring.toMulZeroClass", "Pi.instZero", "instOfNatNat", "Fin.fintype", "Nat", "Zero.toOfNat0", "NonUnitalNonAssocSemiring", "OfNat.ofNat", "Fin", "Matrix.mulVec", "Eq", "rfl", "MulZeroClass.toZero" ]
true
DifferentiableOn.zpow
Mathlib.Analysis.Calculus.Deriv.ZPow
[ "NormedCommRing.toNormedRing", "NormedCommRing.toSeminormedCommRing", "Semiring.toModule", "NormedRing.toRing", "NormedSpace", "Or.imp_left", "NormedSpace.toModule", "PseudoMetricSpace.toUniformSpace", "DivInvMonoid.toZPow", "NormedDivisionRing.toDivisionRing", "Membership.mem", "NormedField.t...
true
Lat.ext
Mathlib.Order.Category.Lat
[ "CategoryTheory.CategoryStruct.toQuiver", "Lat.instConcreteCategoryLatticeHomCarrier", "Quiver.Hom", "CategoryTheory.ConcreteCategory.hom", "Lat.carrier", "LatticeHom", "Lat.instCategory", "Lat.str", "CategoryTheory.Category.toCategoryStruct", "CategoryTheory.ConcreteCategory.hom_ext", "LatticeH...
true
TruncatedWittVector.truncate_wittVector_truncate
Mathlib.RingTheory.WittVector.Truncated
[ "TruncatedWittVector.truncate._proof_3", "CommRing", "Nat.Prime", "Semiring.toModule", "TruncatedWittVector.truncate._proof_1", "TruncatedWittVector.truncateFun_out", "WittVector.instCommRing", "CommSemiring.toSemiring", "PartialOrder.toPreorder", "Preorder.toLE", "RingHom", "TruncatedWittVect...
true
StarAlgHom.rangeRestrict
Mathlib.Algebra.Star.Subalgebra
[ "StarAlgHom.range", "CommSemiring.toSemiring", "StarAlgHom.codRestrict", "StarSubalgebra.subsemiringClass", "Algebra", "Algebra.toSMul", "Membership.mem", "Subtype", "StarSubalgebra", "StarSubalgebra.setLike", "SubsemiringClass.toSemiring", "StarAlgHom", "StarAlgHom.rangeRestrict._proof_1", ...
true
CategoryTheory.LocalizerMorphism.LeftResolution.instCategory._proof_4
Mathlib.CategoryTheory.Localization.Resolution
[ "CategoryTheory.MorphismProperty", "CategoryTheory.LocalizerMorphism.LeftResolution", "CategoryTheory.LocalizerMorphism.LeftResolution.Hom", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "congrArg", "CategoryTheory.LocalizerMorphism.LeftResolution.X₁", "CategoryTheory.LocalizerMorphism.LeftR...
false
_private.Mathlib.Order.Interval.Set.UnorderedInterval.0.Set.monotoneOn_or_antitoneOn_iff_uIcc._simp_1_4
Mathlib.Order.Interval.Set.UnorderedInterval
[ "LinearOrder", "PartialOrder.toPreorder", "Preorder.toLE", "Membership.mem", "SemilatticeInf.toPartialOrder", "DistribLattice.toLattice", "LE.le", "And", "propext", "Or", "Eq", "Set.instMembership", "Set.uIcc", "instDistribLatticeOfLinearOrder", "Lattice.toSemilatticeInf", "Set.mem_uIc...
false
_private.Mathlib.Tactic.TFAE.0.Mathlib.Tactic.TFAE._aux_Mathlib_Tactic_TFAE___elabRules_Mathlib_Tactic_TFAE_tfaeFinish_1._sparseCasesOn_3
Mathlib.Tactic.TFAE
[ "Lean.Name.rec", "Nat.ne_of_beq_eq_false", "String", "Nat.shiftRight", "Nat.hasNotBit", "instOfNatNat", "Lean.Name.num", "Lean.Name.ctorIdx", "Lean.Name.str", "Lean.Name.anonymous", "Nat.land", "Nat", "Bool", "Lean.Name", "Eq.refl", "OfNat.ofNat", "Bool.false" ]
false
SkewPolynomial.support
Mathlib.Algebra.SkewPolynomial.Basic
[ "NonAssocSemiring.toAddCommMonoidWithOne", "Equiv.instEquivLike", "Finset", "Finset.map", "Function.Embedding.mk", "SkewPolynomial.support._proof_1", "SkewPolynomial", "Equiv", "AddCommMonoidWithOne.toAddMonoidWithOne", "NonUnitalNonAssocSemiring.toAddCommMonoid", "Multiplicative", "SkewMonoid...
true
_private.Aesop.Tree.ExtractProof.0.Aesop.extractProofMVarCluster.match_1
Aesop.Tree.ExtractProof
[ "Option.ctorIdx", "Option.some", "_private.Aesop.Tree.ExtractProof.0.Aesop.copyExprMVar._sparseCasesOn_3", "Nat.hasNotBit", "Aesop.GoalRef", "Option" ]
false
Set.subset_range_of_surjective
Mathlib.Data.Set.Image
[ "Set.subset_univ", "Set.univ", "Eq.rec", "HasSubset.Subset", "Function.Surjective.range_eq", "Set.range", "Eq.symm", "Eq", "Function.Surjective", "Set.instHasSubset", "Set" ]
true
CategoryTheory.Quotient.LiftCommShift.iso_hom_app
Mathlib.CategoryTheory.Shift.Quotient
[ "CategoryTheory.Quotient.LiftCommShift.iso", "CategoryTheory.Functor", "CategoryTheory.CategoryStruct.toQuiver", "CategoryTheory.Quotient", "Quiver.Hom", "HomRel.IsCompatibleWithShift", "congrArg", "CategoryTheory.Quotient.category", "CategoryTheory.Functor.category", "CategoryTheory.Quotient.func...
true
MeasureTheory.sub_eq_zero_of_upcrossingsBefore_lt
Mathlib.Probability.Martingale.Upcrossing
[ "not_le", "Iff.mpr", "Eq.mpr", "MeasureTheory.stoppedValue", "Real", "Preorder.toLT", "le_rfl", "sub_self", "Real.instZero", "congrArg", "Real.instSub", "MeasureTheory.lowerCrossingTime", "AddMonoid.toAddZeroClass", "PartialOrder.toPreorder", "setOf", "HSub.hSub", "Real.instLT", "P...
true
trans_trichotomous_left
Mathlib.Order.Defs.Unbundled
[ "trans", "Std.Trichotomous", "IsTrans", "Or.casesOn", "absurd", "Eq.ndrec", "Or", "trichotomous_of", "Eq", "Not" ]
true
ProbabilityTheory.Kernel.iIndepSets_zero_right._simp_1
Mathlib.Probability.Independence.Kernel.Indep
[ "MeasureTheory.Measure", "MeasureTheory.Measure.instZero", "MeasurableSpace", "ProbabilityTheory.Kernel.iIndepSets_zero_right", "True", "eq_true", "Zero.toOfNat0", "ProbabilityTheory.Kernel.iIndepSets", "OfNat.ofNat", "Eq", "ProbabilityTheory.Kernel", "Set" ]
false
cfc_mono._auto_1
Mathlib.Analysis.CStarAlgebra.ContinuousFunctionalCalculus.Unital
[ "Lean.Syntax.node", "Array.push", "Lean.Syntax", "Array.empty", "Lean.SourceInfo.none", "Lean.Name.mkStr1", "Lean.Name.mkStr4", "Lean.mkAtom" ]
false
Set.MapsTo.inter_inter
Mathlib.Data.Set.Function
[ "Membership.mem", "Set.instInter", "Inter.inter", "And.right", "And.left", "Set.MapsTo", "And.intro", "Set.instMembership", "Set" ]
true
TopPair.Homotopy
Mathlib.Topology.Category.TopPair
[ "CategoryTheory.MorphismProperty", "TopPair.Homotopy.mk", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "CategoryTheory.MorphismProperty.instCompleteBooleanAlgebra", "CategoryTheory.MorphismProperty.IsMultiplicative.instTop", "TopCat.instCategory", "CategoryTheory.MorphismProperty.Comma.inst...
true
Fin.succ_eq_last_succ
Init.Data.Fin.Lemmas
[ "Eq.mpr", "Fin.succ", "congrArg", "Iff.rfl", "id", "Fin.succ_inj", "instOfNatNat", "instHAdd", "Iff", "HAdd.hAdd", "Nat", "Fin.last", "propext", "instAddNat", "Fin.succ_last", "OfNat.ofNat", "Eq.symm", "Fin", "Nat.succ", "Eq" ]
true
R0Space.specializes_symmetric
Mathlib.Topology.Separation.Basic
[ "Specializes", "Symmetric", "TopologicalSpace", "R0Space" ]
true
UpperHalfPlane.verticalStrip
Mathlib.Analysis.Complex.UpperHalfPlane.Topology
[ "Real.instLE", "Real", "Real.lattice", "abs", "setOf", "Real.instAddGroup", "LE.le", "And", "UpperHalfPlane.im", "UpperHalfPlane", "UpperHalfPlane.re", "Set" ]
true
BoundedContinuousFunction._aux_Mathlib_Topology_ContinuousMap_BoundedCompactlySupported___unexpand_compactlySupported_1
Mathlib.Topology.ContinuousMap.BoundedCompactlySupported
[ "Pure.pure", "cond", "Lean.TSyntax", "Unit.unit", "Lean.MonadRef.mkInfoFromRefPos", "instMonadExceptOfMonadExceptOf", "Lean.SourceInfo", "Lean.PrettyPrinter.UnexpandM", "MonadExcept.throw", "Lean.Syntax.node5", "Lean.Syntax.isOfKind", "EStateM.instMonad", "Lean.Syntax.atom", "Lean.TSyntax....
false
CategoryTheory.Limits.parallelPairHom._proof_4
Mathlib.CategoryTheory.Limits.Shapes.Equalizers
[ "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "CategoryTheory.Limits.WalkingParallelPair", "congrArg", "CategoryTheory.Limits.WalkingParallelPair.one", "CategoryTheory.Limits.walkingParallelPairHomCategory", "CategoryTheory.Functor.map", "CategoryTheory.Limits.WalkingParallelPairHom.right", ...
false
GenContFract.convs'Aux_stable_step_of_terminated
Mathlib.Algebra.ContinuedFractions.TerminatedStable
[ "Stream'.Seq", "GenContFract.Pair.b", "Nat.recAux", "instHDiv", "GenContFract.Pair.a", "Stream'.Seq.TerminatedAt", "GenContFract.convs'Aux", "congrArg", "Option.casesOn", "Option.some", "DivisionRing.toDivisionSemiring", "DivisionRing.toDivInvMonoid", "Eq.mp", "id", "Distrib.toAdd", "H...
true
Turing.TM0.Stmt.move.inj
Mathlib.Computability.TuringMachine.PostTuringMachine
[ "Turing.TM0.Stmt.move.noConfusion", "Turing.TM0.Stmt.move", "Eq", "Turing.TM0.Stmt", "Turing.Dir" ]
true
CliffordAlgebra.GradedAlgebra.ι
Mathlib.LinearAlgebra.CliffordAlgebra.Grading
[ "Submodule", "CliffordAlgebra.ι", "CommRing", "ZMod.commRing", "instAddCommMonoidDirectSum", "Ring.toNonAssocRing", "DirectSum.instModule", "CommSemiring.toSemiring", "AddCommGroup.toAddCommMonoid", "CliffordAlgebra", "Submodule.addCommMonoid", "instAlgebraCliffordAlgebra", "ZMod.decidableEq...
true
Cardinal.isInaccessible_def
Mathlib.SetTheory.Cardinal.Regular
[ "_private.Mathlib.SetTheory.Cardinal.Regular.0.Cardinal.isInaccessible_def.match_1_1", "Preorder.toLT", "Cardinal.IsRegular", "Cardinal", "PartialOrder.toPreorder", "Cardinal.IsInaccessible.mk", "Cardinal.IsInaccessible.aleph0_lt", "Cardinal.IsInaccessible.isRegular", "Cardinal.aleph0", "And", "...
true
Char.ltAsymm
Init.Data.Char.Lemmas
[ "Std.Asymm", "LT.lt", "Std.Asymm.mk", "Char", "Char.lt_asymm", "Char.instLT" ]
true
_private.Std.Data.DHashMap.Internal.AssocList.Lemmas.0.Std.DHashMap.Internal.AssocList.foldlM.eq_def
Std.Data.DHashMap.Internal.AssocList.Lemmas
[ "Pure.pure", "Eq.mpr", "Std.DHashMap.Internal.AssocList.below", "congrArg", "Std.DHashMap.Internal.AssocList.brecOn.eq", "Monad.toApplicative", "Std.DHashMap.Internal.AssocList.nil", "id", "Std.DHashMap.Internal.AssocList.foldlM._f", "Applicative.toPure", "Std.DHashMap.Internal.AssocList.rec", ...
true
_private.Lean.Elab.Tactic.Induction.0.Lean.Elab.Tactic.ElimApp.evalAlts.goWithIncremental._proof_1
Lean.Elab.Tactic.Induction
[ "Std.IsLinearPreorder.toIsPreorder", "Std.instReflLeOfIsPreorder", "Std.le_refl._simp_1", "LE.le", "instLENat", "Fin.val", "Array", "Lean.Elab.Tactic.ElimApp.Alt", "Nat", "LT.lt", "Fin.val_lt_of_le", "of_eq_true", "instLTNat", "Fin", "Array.size", "Nat.instIsLinearOrder", "Std.IsLine...
false
List.min?_cons'
Init.Data.List.MinMax
[ "List.min?", "Option.some", "List.foldl", "Min", "List.cons", "List", "Eq", "Min.min", "rfl", "Option" ]
true
UniformSpace.Completion.instNormedSpace._proof_2
Mathlib.Analysis.Normed.Module.Completion
[ "norm_smul_le", "AddGroup.toSubtractionMonoid", "Norm.norm", "SeminormedAddGroup.toNorm", "NormedCommRing.toSeminormedCommRing", "Real.instLE", "Real", "instHSMul", "SeminormedAddGroup.toAddGroup", "SeminormedAddCommGroup", "NormedSpace.toIsBoundedSMul", "HMul.hMul", "NormedSpace", "Distri...
false
CategoryTheory.Limits.CoproductsFromFiniteFiltered.liftToFinsetColimitCocone._proof_2
Mathlib.CategoryTheory.Limits.Constructions.Filtered
[ "CategoryTheory.Functor", "CategoryTheory.Limits.hasColimitOfHasColimitsOfShape", "CategoryTheory.Limits.HasColimitsOfShape", "Finset", "PartialOrder.toPreorder", "CategoryTheory.Limits.HasFiniteCoproducts", "Preorder.smallCategory", "Finset.partialOrder", "CategoryTheory.discreteCategory", "Categ...
false
Std.Tactic.BVDecide.LRAT.Internal.Clause.mk.noConfusion
Std.Tactic.BVDecide.LRAT.Internal.Clause
[ "outParam", "List.map", "Option.some", "Membership.mem", "id", "Ne", "Std.Tactic.BVDecide.LRAT.Internal.Clause.mk", "List.cons", "Array", "Bool.true", "And", "heq_of_eq", "Iff", "Std.Tactic.BVDecide.LRAT.Internal.Clause.noConfusion", "List.instMembership", "Std.Tactic.BVDecide.LRAT.Int...
false
Stream'.WSeq.productive_dropn
Mathlib.Data.WSeq.Productive
[ "Eq.mpr", "Stream'.WSeq.Productive.mk", "congrArg", "Stream'.WSeq.drop", "inferInstance", "Stream'.WSeq.get?", "id", "Computation.Terminates", "Stream'.WSeq.get?_add", "Computation", "Stream'.WSeq.Productive", "instHAdd", "HAdd.hAdd", "Nat", "Stream'.WSeq.get?_terminates", "Stream'.WSe...
true
Submodule.Quotient.instSMul'
Mathlib.LinearAlgebra.Quotient.Defs
[ "Submodule", "instHSMul", "DistribMulAction.toDistribSMul", "AddCommGroup.toAddCommMonoid", "IsScalarTower", "SMul", "AddMonoid.toAddZeroClass", "Submodule.Quotient.instSMul'._proof_2", "AddCommGroup.toAddGroup", "Submodule.hasQuotient", "AddZeroClass.toAddZero", "AddCommGroup", "DistribSMul...
true
Std.ExtDHashMap.mem_alter
Std.Data.ExtDHashMap.Lemmas
[ "Std.ExtDHashMap.alter", "Std.ExtDHashMap.instMembershipOfEquivBEqOfLawfulHashable", "instLawfulHashableOfLawfulBEq", "LawfulBEq", "Membership.mem", "instDecidableEqBool", "Std.ExtDHashMap.inductionOn", "Bool.true", "BEq.beq", "Iff", "Std.ExtDHashMap", "Bool", "Hashable", "instEquivBEqOfLa...
true
IsCompact.exists_thickening_image_subset
Mathlib.Topology.MetricSpace.Thickening
[ "Filter.instMembership", "Iff.mpr", "Real.instIsOrderedRing", "Set.singleton_subset_iff", "Eq.mpr", "Real.partialOrder", "Real", "union_mem_nhdsSet", "Trans.trans", "instHDiv", "inter_mem_nhdsWithin", "CharZero.NeZero.two", "add_halves", "MulZeroClass.toMul", "Nat.ble", "Real.instZero"...
true
Lean.Lsp.instHashableRpcRef
Lean.Server.Rpc.Basic
[ "Hashable.mk", "Lean.Lsp.instHashableRpcRef.hash", "Hashable", "Lean.Lsp.RpcRef" ]
true
CategoryTheory.sum.inrCompInverseAssociator_inv_app
Mathlib.CategoryTheory.Sums.Associator
[ "CategoryTheory.Functor", "CategoryTheory.sum", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "CategoryTheory.Functor.category", "CategoryTheory.Functor.comp", "CategoryTheory.CategoryStruct.id", "Sum", "CategoryTheory.Sum.inr_", "CategoryTheory.Functor.sum'", "CategoryTheory.Sum.inl_"...
true
Std.DTreeMap.Internal.Const.RoiSliceData.rec
Std.Data.DTreeMap.Internal.Zipper
[ "Ord", "Std.DTreeMap.Internal.Const.RoiSliceData.mk", "Std.DTreeMap.Internal.Const.RoiSliceData", "Std.Roi", "Std.DTreeMap.Internal.Impl" ]
false
MvPolynomial.supported.eq_1
Mathlib.Algebra.MvPolynomial.Supported
[ "Nat.instMulZeroClass", "AddMonoidAlgebra.semiring", "CommSemiring.toSemiring", "AddMonoidAlgebra.algebra", "Finsupp.instAddMonoid", "MvPolynomial.X", "Nat.instAddMonoid", "Algebra.adjoin", "Algebra.id", "CommSemiring", "Nat", "MvPolynomial", "Eq.refl", "Set.image", "MvPolynomial.support...
true
MeasureTheory.SimpleFunc.instLattice._proof_1
Mathlib.MeasureTheory.Function.SimpleFunc
[ "Lattice", "PartialOrder.toPreorder", "SemilatticeInf.inf_le_left", "Preorder.toLE", "MeasureTheory.SimpleFunc", "SemilatticeInf.toPartialOrder", "LE.le", "SemilatticeInf.inf", "MeasurableSpace", "MeasureTheory.SimpleFunc.instSemilatticeInf", "Lattice.toSemilatticeInf" ]
false
Subsemigroup.le_comap_map
Mathlib.Algebra.Group.Subsemigroup.Operations
[ "MulHom", "Subsemigroup.map", "Subsemigroup.comap", "PartialOrder.toPreorder", "Subsemigroup.instPartialOrder", "Subsemigroup.gc_map_comap", "Preorder.toLE", "Mul", "GaloisConnection.le_u_l", "LE.le", "Subsemigroup" ]
true
ProbabilityTheory.Kernel.comap._proof_1
Mathlib.Probability.Kernel.Composition.MapComap
[ "MeasureTheory.Measure.instMeasurableSpace", "MeasureTheory.Measure", "Measurable.comp", "Measurable", "Function.comp", "ProbabilityTheory.Kernel.instFunLike", "MeasurableSpace", "ProbabilityTheory.Kernel.measurable", "DFunLike.coe", "ProbabilityTheory.Kernel" ]
false
MonoidHom.toLocalizationMap._proof_2
Mathlib.GroupTheory.MonoidLocalization.Basic
[ "MulOne.toOne", "MonoidHom.instFunLike", "HMul.hMul", "MonoidHom", "Monoid.toMulOneClass", "IsUnit", "Membership.mem", "Exists", "MulOne.toMul", "Subtype", "Prod.fst", "Submonoid.IsLocalizationMap.mk", "MulOneClass.toMulOne", "Submonoid.IsLocalizationMap", "OneHom.toFun", "CommMonoid.t...
false
Real.not_DifferentiableAt_log_mul_zero
Mathlib.Analysis.SpecialFunctions.Log.NegMulLog
[ "Real", "Set.Ioi", "Semiring.toModule", "HMul.hMul", "Real.denselyNormedField", "Real.instZero", "not_differentiableWithinAt_of_deriv_tendsto_atBot_Ioi", "DifferentiableAt", "PseudoMetricSpace.toUniformSpace", "DifferentiableAt.differentiableWithinAt", "NormedField.toField", "Real.instAddCommG...
true
Mathlib.Tactic.CancelDenoms.CancelResult.recOn
Mathlib.Tactic.CancelDenoms.Core
[ "Lean.Expr.const", "Mathlib.Tactic.CancelDenoms.CancelResult", "Lean.Expr.sort", "Lean.Level", "List.cons", "Qq.Quoted", "Lean.Name.mkStr2", "Lean.Expr.app", "Lean.Level.succ", "Mathlib.Tactic.CancelDenoms.CancelResult.mk", "Lean.Name.mkStr1", "Mathlib.Tactic.CancelDenoms.CancelResult.rec", ...
false
_private.Lean.Elab.Do.Legacy.0.Lean.Elab.Term.Do.destructTuple._proof_2
Lean.Elab.Do.Legacy
[ "Lean.Elab.Term.Do.Var", "instOfNatNat", "Array", "Nat", "LT.lt", "Decidable.byContradiction", "_private.Lean.Elab.Do.Legacy.0.Lean.Elab.Term.Do.destructTuple._proof_1", "Nat.decLt", "instLTNat", "OfNat.ofNat", "Eq", "Array.size", "Not" ]
false
NormedAddGroupHom.range_comp_incl_top
Mathlib.Analysis.Normed.Group.Hom
[ "Eq.mpr", "NormedAddGroupHom.incl_range", "NormedAddGroupHom", "SeminormedAddCommGroup", "congrArg", "AddSubgroup.seminormedAddCommGroup", "AddMonoidHom.range", "AddCommGroup.toAddGroup", "Membership.mem", "id", "Subtype", "NormedAddGroupHom.range", "NormedAddGroupHom.comp", "NormedAddGrou...
true
_private.Init.Data.Slice.Array.Lemmas.0.Std.Internal.List.extract_eq_drop_take'._simp_1_5
Init.Data.Slice.Array.Lemmas
[ "ge_iff_le", "GE.ge", "LE.le", "LE", "propext", "Eq" ]
false
Std.TreeMap.Raw.getKey!_union
Std.Data.TreeMap.Raw.Lemmas
[ "Std.TreeMap.Raw.instUnion", "Std.TreeMap.Raw.getKey!", "Std.TreeMap.Raw.WF.out", "Ordering", "Std.TransCmp", "Std.TreeMap.Raw.WF", "Std.TreeMap.Raw.inner", "Std.TreeMap.Raw", "Inhabited", "Union.union", "Std.DTreeMap.Raw.getKey!_union", "Eq", "Std.TreeMap.Raw.getKeyD" ]
true
MvPFunctor.instMvQPFObj
Mathlib.Data.QPF.Multivariate.Basic
[ "MvPFunctor.Obj", "MvPFunctor", "MvPFunctor.instMvQPFObj._proof_1", "id", "MvPFunctor.instMvQPFObj._proof_2", "MvQPF.mk", "Nat", "MvQPF", "MvPFunctor.instMvFunctorObj", "TypeVec" ]
true
mem_upperBounds_image2_of_mem_lowerBounds
Mathlib.Order.Bounds.Image
[ "Iff.mpr", "Set.forall_mem_image2", "lowerBounds", "Function.swap", "Preorder.toLE", "Membership.mem", "upperBounds", "LE.le", "Antitone", "Set.image2", "LE.le.trans", "Set.instMembership", "Preorder", "Set" ]
true
Nat.Partrec.Code.evaln._unary._proof_7
Mathlib.Computability.PartrecCode
[ "Lean.Omega.Constraint.not_sat'_of_isImpossible", "Int.natCast_add", "of_decide_eq_true", "le_of_le_of_eq", "Lean.Omega.Constraint.mk", "invImage", "Nat.Partrec.Code._sizeOf_inst", "HSub.hSub", "Lean.Omega.Int.add_congr", "Lean.Omega.LinearCombo.eval", "Option.some", "Nat.Partrec.Code", "PSi...
false
CategoryTheory.Limits.chosenCoendFunctor_map
Mathlib.CategoryTheory.Limits.Chosen.End
[ "CategoryTheory.Functor", "CategoryTheory.Limits.chosenCoend.map", "Opposite", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "CategoryTheory.Functor.category", "CategoryTheory.Limits.ChosenCoendsOfShape", "CategoryTheory.Functor.map", "CategoryTheory.Limits.chosenCoend", "CategoryTheory....
true
SMulPosStrictMono.toSMulPosMono
Mathlib.Algebra.Order.Module.Defs
[ "instHSMul", "Preorder.toLT", "StrictMono.monotone", "SMulWithZero.toSMulZeroClass", "PartialOrder.toPreorder", "SMulPosMono", "PartialOrder", "SMulPosMono.of_pos", "SMulPosStrictMono", "LT.lt", "Zero.toOfNat0", "HSMul.hSMul", "SMulZeroClass.toSMul", "strictMono_smul_right_of_pos", "SMul...
true
DependsOn.dependsOn_lmarginalPartialTraj
Mathlib.Probability.Kernel.IonescuTulcea.PartialTraj
[ "Iff.mpr", "Eq.mpr", "MeasureTheory.Measure", "LinearOrder.toDecidableEq", "Function.updateFinset", "Finset.Ioc_subset_Iic_self", "congrArg", "DependsOn.updateFinset", "Finset", "ProbabilityTheory.Kernel.map", "PartialOrder.toPreorder", "Finset.coe_sdiff", "Measurable", "ProbabilityTheory....
true
CategoryTheory.Limits.Concrete.limit_ext
Mathlib.CategoryTheory.Limits.ConcreteCategory.Basic
[ "CategoryTheory.Limits.limit.π", "CategoryTheory.Functor", "CategoryTheory.Limits.PreservesLimit", "CategoryTheory.ConcreteCategory.hom", "CategoryTheory.Limits.HasLimit", "CategoryTheory.Limits.limit.cone", "CategoryTheory.Limits.limit.isLimit", "CategoryTheory.Limits.limit", "CategoryTheory.Concre...
true
Std.ExtDTreeMap.getKey!_inter_of_not_mem_right
Std.Data.ExtDTreeMap.Lemmas
[ "Std.ExtDTreeMap.mk", "Inhabited.default", "Std.DTreeMap.getKey!_inter_of_not_mem_right", "Std.DTreeMap", "Std.ExtDTreeMap.instInterOfTransCmp", "Std.ExtDTreeMap.inductionOn₂", "Membership.mem", "Ordering", "Std.TransCmp", "Std.ExtDTreeMap.getKey!", "Inter.inter", "Std.ExtDTreeMap", "Inhabit...
true
List.find?_replicate_eq_some_iff._simp_1
Init.Data.List.Find
[ "List.replicate", "List.find?", "Option.some", "Ne", "instOfNatNat", "Bool.true", "And", "Nat", "propext", "Bool", "List.find?_replicate_eq_some_iff", "OfNat.ofNat", "Eq", "Option" ]
false
Lean.IR.Expr.ctor
Lean.Compiler.IR.Basic
[ "Lean.IR.Expr", "Lean.IR.Expr.ctor", "Lean.IR.Arg", "Lean.IR.CtorInfo", "Array" ]
true
OpenNormalSubgroup.pathComponentOne.eq_1
Mathlib.Topology.Connected.PathComponentOne
[ "Group", "Subgroup.pathComponentOne", "LocPathConnectedSpace", "TopologicalSpace", "IsTopologicalGroup", "OpenNormalSubgroup.mk", "OpenSubgroup.mk", "OpenNormalSubgroup.pathComponentOne._proof_1", "Subgroup.Normal.pathComponentOne", "Eq.refl", "OpenNormalSubgroup.pathComponentOne", "Eq", "Op...
true
Lean.Meta.MVarRenaming.map._default
Lean.Meta.Match.MVarRenaming
[ "Lean.MVarIdMap", "Lean.MVarId", "id", "Lean.instEmptyCollectionMVarIdMap", "EmptyCollection.emptyCollection" ]
false
UInt16.neg_ne_zero
Init.Data.UInt.Lemmas
[ "UInt16.toBitVec", "congrArg", "BitVec", "BitVec.neg_eq_zero_iff._simp_1", "Ne", "instOfNatNat", "BitVec.ofNat", "BitVec.instNeg", "iff_self", "UInt16", "UInt16.toBitVec_neg", "Iff", "instNegUInt16", "UInt16.toBitVec_ofNat", "Nat", "UInt16.eq_iff_toBitVec_eq._simp_1", "congr", "Tru...
true
Lean.Meta.Simp.instInhabitedContext.default
Lean.Meta.Tactic.Simp.Types
[ "Inhabited.default", "Lean.Meta.SimpCongrTheorems", "Lean.Meta.Simp.Config", "instInhabitedBool", "Lean.Meta.instInhabitedSimpCongrTheorems", "instInhabitedUInt32", "instInhabitedNat", "Lean.Expr", "instInhabitedOption", "Array.instInhabited", "Nat", "Lean.Meta.Simp.instInhabitedConfig", "Le...
true
Lean.IR.Decl.noConfusion
Lean.Compiler.IR.Basic
[ "Lean.IR.Param", "Lean.IR.DeclInfo", "Lean.IR.Decl.casesOn", "Lean.IR.FnBody", "Array", "Lean.ExternAttrData", "Lean.IR.FunId", "Lean.IR.IRType", "Lean.IR.Decl", "Eq.ndrec", "Eq.refl", "Lean.IR.Decl.noConfusionType", "Eq" ]
false
Lean.Server.Watchdog.handleIleanInfoUpdate
Lean.Server.Watchdog
[ "Lean.Server.DocumentMeta.uri", "Lean.Server.Watchdog.ServerM", "Lean.Server.Watchdog.FileWorker", "Lean.Lsp.LeanIleanInfoParams.decls", "Lean.Server.DocumentMeta.mod", "Lean.Server.References.updateWorkerRefs", "Lean.Lsp.DocumentUri", "Unit", "Lean.Server.Watchdog.FileWorker.doc", "Lean.Lsp.LeanI...
true
LinearIsometryEquiv.toHomeomorph_injective
Mathlib.Analysis.Normed.Operator.LinearIsometry
[ "LinearIsometryEquiv.toHomeomorph", "SeminormedAddCommGroup", "AddCommGroup.toAddCommMonoid", "LinearIsometryEquiv.coe_injective", "PseudoMetricSpace.toUniformSpace", "RingHom", "RingHomInvPair", "congr_arg", "Homeomorph.instEquivLike", "SeminormedAddCommGroup.toPseudoMetricSpace", "SeminormedAd...
true
IO.FS.Metadata.modified
Init.System.IO
[ "IO.FS.SystemTime", "IO.FS.Metadata" ]
true
TopologicalSpace.Opens.comap
Mathlib.Topology.Sets.Opens
[ "FrameHom", "Lattice.toSemilatticeSup", "TopologicalSpace.Opens.comap._proof_6", "CompleteLattice.toLattice", "TopologicalSpace.Opens.instCompleteLattice", "ContinuousMap", "PartialOrder.toPreorder", "TopologicalSpace.Opens.comap._proof_8", "TopologicalSpace.Opens", "Preorder.toLE", "Topological...
true
Lean.Lsp.ClientCapabilities.casesOn
Lean.Data.Lsp.Capabilities
[ "Lean.Lsp.LeanClientCapabilities", "Lean.Lsp.ClientCapabilities.mk", "Lean.Lsp.ClientCapabilities", "Lean.Lsp.TextDocumentClientCapabilities", "Lean.Lsp.WindowClientCapabilities", "Lean.Lsp.ClientCapabilities.rec", "Lean.Lsp.WorkspaceClientCapabilities", "Option" ]
false
_private.Std.Time.Date.Unit.Day.0.Std.Time.Day.Offset.toMilliseconds._proof_1
Std.Time.Date.Unit.Day
[ "Rat.instOfNat", "Int.cast", "instHDiv", "of_decide_eq_true", "Rat", "Rat.instIntCast", "id", "HDiv.hDiv", "Int", "Bool.true", "instOfNat", "Bool", "Eq.refl", "OfNat.ofNat", "instDecidableEqRat", "Decidable.decide", "Eq", "Rat.instDiv" ]
false
LocallyConstant.comapAddMonoidHom_apply
Mathlib.Topology.LocallyConstant.Algebra
[ "LocallyConstant.comap", "ContinuousMap", "LocallyConstant.comapAddMonoidHom", "AddZeroClass.toAddZero", "LocallyConstant", "TopologicalSpace", "AddZeroClass", "LocallyConstant.instAddZeroClass", "Eq.refl", "AddMonoidHom", "AddMonoidHom.instFunLike", "Eq", "DFunLike.coe" ]
true
mul_two
Mathlib.Algebra.Ring.Defs
[ "Distrib.leftDistribClass", "Eq.mpr", "NonAssocSemiring.toAddCommMonoidWithOne", "MulOne.toOne", "HMul.hMul", "AddMonoid.toAddSemigroup", "congrArg", "Nat.instAtLeastTwoHAddOfNat", "id", "MulOne.toMul", "Distrib.toAdd", "AddMonoidWithOne.toNatCast", "NonAssocSemiring.toMulZeroOneClass", "i...
true
_private.Lean.Elab.Print.0.Lean.Elab.Command.printIdCore._sparseCasesOn_1
Lean.Elab.Print
[ "Nat.ne_of_beq_eq_false", "Nat.shiftRight", "Lean.ConstantKind.ctor", "Lean.ConstantKind.opaque", "Nat.hasNotBit", "Lean.ConstantKind.quot", "instOfNatNat", "Lean.ConstantKind.rec", "Lean.ConstantKind.recursor", "Nat.land", "Nat", "Lean.ConstantKind", "Lean.ConstantKind.thm", "Lean.Constan...
false
_private.Init.Data.BitVec.Bitblast.0.BitVec.addRecAux_eq_of._proof_1_1
Init.Data.BitVec.Bitblast
[ "Int.instDiv", "False", "Lean.Omega.Constraint.not_sat'_of_isImpossible", "instHDiv", "HMul.hMul", "Int.natCast_add", "of_decide_eq_true", "le_of_le_of_eq", "Int.natCast_ediv", "Lean.Omega.Constraint.mk", "Lean.Omega.Constraint.combine_sat'", "Int.add_one_le_of_lt", "HSub.hSub", "Lean.Omeg...
false
Lean.Meta.getUInt16Value?
Lean.Meta.LitValues
[ "Pure.pure", "OptionT.instMonad", "OptionT", "OptionT.run", "_private.Lean.Meta.LitValues.0.Lean.Meta.getFinValue?.match_3", "Lean.Expr", "Lean.Meta.MetaM", "Applicative.toPure", "UInt16.ofNat", "UInt16", "Lean.Meta.instMonadMetaM", "Nat", "Lean.Meta.getOfNatValue?", "Alternative.toApplica...
true
NNReal.summable_mul_rpow_of_Lp_Lq
Mathlib.Analysis.MeanInequalities
[ "NNReal.summable_and_Lr_rpow_le_Lp_mul_Lq_tsum", "NNReal.instTopologicalSpace", "Real", "instHDiv", "HMul.hMul", "Real.HolderTriple", "Real.instDivInvMonoid", "PartialOrder.toPreorder", "Preorder.toLE", "HDiv.hDiv", "NNReal", "LE.le", "instDistribOfSemiring", "NonUnitalNonAssocSemiring.toA...
true
StrictMonoOn.exists_slope_lt_deriv
Mathlib.Analysis.Convex.Deriv
[ "Mathlib.Tactic.Push.not_forall_eq", "Mathlib.Tactic.Ring.Common.mul_pf_left", "IsRightCancelAdd.addRightStrictMono_of_addRightMono", "Iff.mpr", "sub_pos", "AddGroup.toSubtractionMonoid", "Real.instIsOrderedRing", "Mathlib.Tactic.Ring.Common.neg_zero", "Eq.mpr", "GroupWithZero.toMonoidWithZero", ...
true
Lean.Compiler.LCNF.initFn._@.Lean.Compiler.LCNF.Main.842986268._hygCtx._hyg.2
Lean.Compiler.LCNF.Main
[ "Lean.EnvExtension.AsyncMode.sync", "Lean.NameMap", "Bool.not", "Lean.Compiler.LCNF.PostponedCompileDecls", "Lean.SimplePersistentEnvExtensionDescr.mk", "IO", "Lean.OLeanEntries.mk", "Option.some", "Lean.registerSimplePersistentEnvExtension", "Array.any", "Lean.NameMap.instEmptyCollection", "i...
false
Algebra.EssFiniteType.isNoetherianRing
Mathlib.RingTheory.Localization.Submodule
[ "Subalgebra.instSetLike", "Algebra.EssFiniteType.subalgebra", "CommRing", "IsLocalization.isNoetherianRing", "Algebra.EssFiniteType.submonoid", "CommSemiring.toSemiring", "Algebra.FiniteType.isNoetherianRing", "Algebra", "Algebra.EssFiniteType", "Membership.mem", "Algebra.id", "Subalgebra.toAl...
true
MulAction.stabilizerEquivStabilizer.congr_simp
Mathlib.GroupTheory.GroupAction.Basic
[ "MulAction.stabilizerEquivStabilizer", "instHSMul", "Subgroup.mul", "Group", "Membership.mem", "Eq.rec", "Subtype", "DivInvMonoid.toMonoid", "Subgroup", "Group.toDivInvMonoid", "MulAction", "Monoid.toSemigroup", "Eq.ndrec", "MulEquiv", "Eq.refl", "HSMul.hSMul", "SemigroupAction.toSMu...
true
Algebra.instMulDistribMulActionAlgHomUnits._proof_2
Mathlib.Algebra.Algebra.Hom
[ "Units.val", "MulOne.toOne", "instHSMul", "MonoidHom.instFunLike", "AlgHom.algHomClass", "MonoidHom", "Monoid.toMulOneClass", "AlgHom", "AlgHom.funLike", "Algebra", "Units", "MonoidHomClass.toMonoidHom", "RingHomClass.toMonoidWithZeroHomClass", "SMul.mk", "AlgHom.End", "Units.ext", "...
false
_private.Mathlib.Analysis.Normed.Module.FiniteDimension.0.isOpen_setOf_nat_le_rank._simp_1_1
Mathlib.Analysis.Normed.Module.FiniteDimension
[ "Cardinal", "AddCommGroup.toAddCommMonoid", "Finset", "LinearMap.instFunLike", "Membership.mem", "Exists", "DivisionRing.toDivisionSemiring", "AddCommGroup", "Set.Elem", "DivisionRing.toRing", "LE.le", "Nat.cast", "LinearMap", "Cardinal.instLE", "LinearMap.rank", "And", "SetLike.coe"...
false
CategoryTheory.Discrete.opposite_inverse_obj
Mathlib.CategoryTheory.Discrete.Basic
[ "Opposite", "CategoryTheory.discreteCategory", "Opposite.op", "CategoryTheory.Category.opposite", "Eq.refl", "CategoryTheory.Discrete.opposite", "Eq", "CategoryTheory.Functor.obj", "CategoryTheory.Discrete", "CategoryTheory.Equivalence.inverse" ]
true
CategoryTheory.Functor.Additive.map_add._autoParam
Mathlib.CategoryTheory.Preadditive.AdditiveFunctor
[ "Lean.Syntax.node", "Array.push", "Lean.Syntax", "Array.empty", "Lean.Name.mkStr2", "Lean.SourceInfo.none", "Lean.Name.mkStr1", "Lean.Name.mkStr4", "Lean.mkAtom" ]
false
CategoryTheory.PrelaxFunctor.toPrelaxFunctorStruct
Mathlib.CategoryTheory.Bicategory.Functor.Prelax
[ "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "CategoryTheory.Bicategory.toCategoryStruct", "CategoryTheory.PrelaxFunctorStruct", "CategoryTheory.Bicategory", "CategoryTheory.Category.toCategoryStruct", "CategoryTheory.Bicategory.homCategory", "CategoryTheory.PrelaxFunctor" ]
true
IsLprojection.Subtype.BooleanAlgebra._proof_12
Mathlib.Analysis.Normed.Module.MStructure
[ "IsLprojection", "Lattice.toSemilatticeSup", "IsLprojection.Subtype.BooleanAlgebra._proof_7", "DistribMulAction.toDistribSMul", "AddCommGroup.toAddCommMonoid", "Compl.compl", "IsLprojection.Subtype.BooleanAlgebra._proof_3", "AddMonoid.toAddZeroClass", "IsLprojection.Subtype.instCompl", "AddCommGro...
false
Lean.SimplePersistentEnvExtension
Lean.EnvExtension
[ "Lean.PersistentEnvExtension", "List", "Prod" ]
true
hasFTaylorSeriesUpToOn_succ_iff_right
Mathlib.Analysis.Calculus.ContDiff.FTaylorSeries
[ "LinearIsometryEquiv.instEquivLike", "NormedCommRing.toNormedRing", "NormedCommRing.toSeminormedCommRing", "ContinuousLinearMap.toNormedAddCommGroup", "hasFTaylorSeriesUpToOn_top_iff_right", "NormedRing.toRing", "NormedSpace.toIsBoundedSMul", "instAddMonoidWithOneENat", "UniformContinuousConstSMul.t...
true
Lean.Server.FileWorker.Query.noConfusion
Lean.Server.CodeActions.UnknownIdentifier
[ "Lean.Elab.ContextInfo", "Lean.Server.FileWorker.Query", "Lean.Server.FileWorker.Insertion", "Eq.ndrec", "Lean.Name", "Eq.refl", "Lean.Server.FileWorker.Query.casesOn", "Eq", "Lean.Server.FileWorker.Query.noConfusionType", "Lean.Lsp.LeanModuleQuery" ]
false
CategoryTheory.MorphismProperty.Under.mapId_hom_app_right
Mathlib.CategoryTheory.MorphismProperty.OverAdjunction
[ "CategoryTheory.MorphismProperty.Under", "CategoryTheory.MorphismProperty", "CategoryTheory.Functor", "CategoryTheory.Comma.right", "CategoryTheory.MorphismProperty.Over.map._proof_1", "CategoryTheory.MorphismProperty.Under.mapId", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "CategoryThe...
true
_private.Mathlib.NumberTheory.Modular.0.ModularGroup.case_c_one_d_one
Mathlib.NumberTheory.Modular
[ "Mathlib.Tactic.Ring.Common.mul_pf_left", "Iff.mpr", "AddGroup.toSubtractionMonoid", "Real.instIsOrderedRing", "Norm.norm", "Int.cast", "Not.intro", "Mathlib.Tactic.Ring.Common.neg_zero", "Units.val", "Eq.mpr", "GroupWithZero.toMonoidWithZero", "NegZeroClass.toNeg", "NonAssocSemiring.toAddCo...
true
MeasureTheory.eLpNorm'_congr_nnnorm_ae
Mathlib.MeasureTheory.Function.LpSeminorm.Basic
[ "MeasureTheory.ae", "Real", "ENNReal.ofNNReal", "MeasureTheory.Measure", "instHDiv", "congrArg", "MeasureTheory.eLpNorm'", "ENNReal.instPowReal", "SeminormedAddGroup.toNNNorm", "Real.instDivInvMonoid", "NNNorm.nnnorm", "Filter.Eventually", "PseudoMetricSpace.toUniformSpace", "SeminormedAdd...
true
LinearMap.continuousAt_zero_of_locally_bounded
Mathlib.Analysis.LocallyConvex.ContinuousOfBounded
[ "Mathlib.Tactic.Push.not_forall_eq", "Filter.instMembership", "Mathlib.Tactic.Push.not_exists._simp_1", "Set.mem_range_self", "Iff.mpr", "NormedCommRing.toNormedRing", "one_pow", "AddGroup.toSubtractionMonoid", "Real.instIsOrderedRing", "Norm.norm", "Eq.mpr", "GroupWithZero.toMonoidWithZero", ...
true
Lean.Elab.Tactic.BVDecide.Frontend.UnsatProver.Result.mk.sizeOf_spec
Lean.Elab.Tactic.BVDecide.Frontend.BVDecide
[ "Lean.Elab.Tactic.BVDecide.Frontend.UnsatProver.Result.mk", "Lean.Elab.Tactic.BVDecide.Frontend.UnsatProver.Result", "Lean.Expr", "instOfNatNat", "instHAdd", "HAdd.hAdd", "Nat", "SizeOf.sizeOf", "instAddNat", "String._sizeOf_inst", "Eq.refl", "Lean.Elab.Tactic.BVDecide.Frontend.LratCert", "O...
true