name
stringlengths
2
347
module
stringlengths
6
90
deps
listlengths
0
692
allowCompletion
bool
2 classes
DifferentiableAt.comp_mdifferentiableWithinAt
Mathlib.Geometry.Manifold.MFDeriv.NormedSpace
[ "MDifferentiableAt.comp_mdifferentiableWithinAt", "chartedSpaceSelf", "NormedSpace", "DifferentiableAt", "NormedSpace.toModule", "PseudoMetricSpace.toUniformSpace", "Function.comp", "TopologicalSpace", "ModelWithCorners", "SeminormedAddCommGroup.toPseudoMetricSpace", "NontriviallyNormedField", ...
true
indicator_ae_eq_of_ae_eq_set
Mathlib.MeasureTheory.Measure.Restrict
[ "MeasureTheory.ae", "MeasureTheory.Measure", "Set.indicator", "Classical.propDecidable", "Membership.mem", "Filter.EventuallyEq", "piecewise_ae_eq_of_ae_eq_set", "MeasurableSpace", "Zero.toOfNat0", "OfNat.ofNat", "Set.instMembership", "MeasureTheory.Measure.instFunLike", "Zero", "MeasureTh...
true
commMonTypeEquivalenceCommMon._proof_4
Mathlib.CategoryTheory.Monoidal.Internal.Types.Basic
[ "CategoryTheory.CommMon.instCategory", "HMul.hMul", "CategoryTheory.typesCartesianMonoidalCategory", "Monoid.toMulOneClass", "MulOne.toMul", "Equiv.toFun", "CategoryTheory.SemiCartesianMonoidalCategory.toMonoidalCategory", "CommMonCat.carrier", "MulOneClass.toMulOne", "CommMonCat", "CommMonoid.t...
false
AffineSubspace.pointwise_vadd_direction
Mathlib.LinearAlgebra.AffineSpace.Pointwise
[ "Eq.mpr", "Submodule", "RingHomSurjective.ids", "AffineSubspace.map", "congrArg", "AddCommGroup.toAddCommMonoid", "Submodule.map_id", "AddCommGroup.toAddGroup", "AffineEquiv.constVAdd", "AddCommGroup", "id", "HVAdd.hVAdd", "AffineSubspace.map_direction", "AffineSubspace.pointwiseVAdd", "...
true
Lean.Meta.SimpEntry.toUnfold.sizeOf_spec
Lean.Meta.Tactic.Simp.SimpTheorems
[ "instOfNatNat", "Lean.Meta.SimpEntry._sizeOf_inst", "instHAdd", "HAdd.hAdd", "Lean.instSizeOfName", "Nat", "SizeOf.sizeOf", "instAddNat", "Lean.Name", "Eq.refl", "Lean.Meta.SimpEntry", "OfNat.ofNat", "Eq", "Lean.Meta.SimpEntry.toUnfold" ]
true
CategoryTheory.IsRegularMono
Mathlib.CategoryTheory.Limits.Shapes.RegularMono
[ "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "CategoryTheory.Category.toCategoryStruct", "CategoryTheory.IsRegularMono.mk", "CategoryTheory.Category" ]
true
PUnit.mulSemiringAction._proof_2
Mathlib.Algebra.Module.PUnit
[ "PUnit.mulDistribMulAction", "instHSMul", "HMul.hMul", "Monoid.toMulOneClass", "CommSemiring.toSemiring", "PUnit.commRing", "MulOne.toMul", "MulOneClass.toMulOne", "CommRing.toCommSemiring", "PUnit", "Semiring.toMonoid", "Monoid.toSemigroup", "Semiring", "MulDistribMulAction.smul_mul", "...
false
Mathlib.Tactic.Order.Graph.TarjanState
Mathlib.Tactic.Order.Graph.Tarjan
[ "Mathlib.Tactic.Order.Graph.TarjanState.mk" ]
true
_private.Mathlib.NumberTheory.LSeries.HurwitzZeta.0.HurwitzZeta.sinZeta_eq._simp_1_2
Mathlib.NumberTheory.LSeries.HurwitzZeta
[ "False", "eq_false", "instOfNatNat", "two_ne_zero", "Nat", "Zero.toOfNat0", "NeZero", "OfNat.ofNat", "Eq", "OfNat", "Zero" ]
false
Lean.Compiler.CSimp.State.mk.injEq
Lean.Compiler.CSimpAttr
[ "Eq.propIntro", "Lean.Compiler.CSimp.State.mk.inj", "Lean.injEq_helper", "And", "Lean.SMap", "Lean.SSet", "Eq.ndrec", "Lean.Name", "Eq.refl", "Lean.Compiler.CSimp.State", "Lean.Compiler.CSimp.State.mk", "Eq", "Lean.Name.instBEq", "Lean.Compiler.CSimp.Entry", "Lean.instHashableName" ]
true
Lean.Elab.Term.ElabElim.State.mk._flat_ctor
Lean.Elab.App
[ "Lean.MVarId", "Lean.Expr", "Array", "List", "Lean.Elab.Term.ElabElim.State.mk", "Nat", "Lean.Elab.Term.ElabElim.State", "Lean.Elab.Term.NamedArg", "Lean.Elab.Term.Arg", "Option" ]
false
Std.DHashMap.getD.congr_simp
Std.Data.DHashMap.Lemmas
[ "LawfulBEq", "Eq.rec", "Std.DHashMap.getD", "Eq.refl", "Hashable", "BEq", "Eq", "Std.DHashMap" ]
true
NeZero.one_le
Mathlib.Data.Nat.Cast.NeZero
[ "_private.Mathlib.Data.Nat.Cast.NeZero.0.NeZero.one_le._proof_1_1", "Zero.ofOfNat0", "Ne", "instOfNatNat", "LE.le", "instLENat", "Nat", "Zero.toOfNat0", "NeZero", "OfNat.ofNat", "NeZero.ne" ]
true
GroupTopology.instCompleteLattice._proof_8
Mathlib.Topology.Algebra.Group.GroupTopology
[ "Lattice.toSemilatticeSup", "CompleteLattice.toLattice", "PartialOrder.toPreorder", "Group", "Preorder.toLE", "CompleteLattice.toInfSet", "CompleteLattice.isGLB_sInf", "IsGLB", "SemilatticeSup.toPartialOrder", "GroupTopology", "InfSet.sInf", "GroupTopology.instCompleteSemilatticeInf", "compl...
false
SubgroupClass.instZPow.eq_1
Mathlib.Algebra.Group.Subgroup.Defs
[ "SetLike", "Pow", "SubgroupClass.instZPow._proof_1", "DivInvMonoid.toZPow", "Membership.mem", "Subtype", "Int", "DivInvMonoid", "Subtype.mk", "SubgroupClass", "Pow.mk", "HPow.hPow", "SubgroupClass.instZPow", "Eq.refl", "instHPow", "Subtype.val", "Eq", "SetLike.instMembership" ]
true
_private.Lean.Compiler.LCNF.ExplicitRC.0.Lean.Compiler.LCNF.DerivedValInfo.mk.noConfusion
Lean.Compiler.LCNF.ExplicitRC
[ "_private.Lean.Compiler.LCNF.ExplicitRC.0.Lean.Compiler.LCNF.DerivedValInfo", "id", "Lean.FVarId", "Array", "_private.Lean.Compiler.LCNF.ExplicitRC.0.Lean.Compiler.LCNF.DerivedValInfo.mk", "Eq", "Lean.FVarIdHashSet", "_private.Lean.Compiler.LCNF.ExplicitRC.0.Lean.Compiler.LCNF.DerivedValInfo.noConfusi...
false
CategoryTheory.IsIso.eq_inv_comp
Mathlib.CategoryTheory.Iso
[ "CategoryTheory.IsIso", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "Iff", "CategoryTheory.CategoryStruct.comp", "CategoryTheory.inv", "CategoryTheory.Category.toCategoryStruct", "CategoryTheory.Iso.eq_inv_comp", "Eq", "CategoryTheory.asIso", "CategoryTheory.Category" ]
true
CategoryTheory.Precoverage.mk
Mathlib.CategoryTheory.Sites.Precoverage
[ "CategoryTheory.Precoverage", "CategoryTheory.Presieve", "CategoryTheory.Precoverage.mk", "CategoryTheory.Category", "Set" ]
true
Lean.Compiler.LCNF.LetValue.updateArgs!
Lean.Compiler.LCNF.Basic
[ "Inhabited.default", "Lean.Compiler.LCNF.Arg", "Lean.Compiler.LCNF.instInhabitedLetValue", "Lean.Compiler.LCNF.LetValue", "Lean.Compiler.LCNF.Purity", "Array" ]
true
PadicInt.coe_neg
Mathlib.NumberTheory.Padics.PadicIntegers
[ "Norm.norm", "NegZeroClass.toNeg", "Real.instLE", "Real", "Nat.Prime", "PadicInt", "Fact", "SubtractionMonoid.toSubNegZeroMonoid", "PadicInt.instCommRing", "LE.le", "SubNegZeroMonoid.toNegZeroClass", "SubtractionCommMonoid.toSubtractionMonoid", "Real.instOne", "Ring.toAddCommGroup", "Nat...
true
Homeomorph.locallyConnectedSpace
Mathlib.Topology.Homeomorph.Lemmas
[ "Eq.mpr", "Continuous.continuousOn", "IsConnected", "Homeomorph.continuous", "congrArg", "Filter.map", "IsPreconnected.image", "Membership.mem", "nhds", "id", "Filter.HasBasis.map", "TopologicalSpace", "Homeomorph.instEquivLike", "And", "Filter.HasBasis", "Set.Nonempty", "And.right",...
true
Lean.Elab.Term.Do.Code.jmp
Lean.Elab.Do.Legacy
[ "Lean.Syntax", "Array", "Lean.Elab.Term.Do.Code.jmp", "Lean.Name", "Lean.Elab.Term.Do.Code" ]
true
FormalMultilinearSeries.id_apply_zero
Mathlib.Analysis.Analytic.Composition
[ "NormedSpace", "AddCommGroup.toAddCommMonoid", "NormedSpace.toModule", "PseudoMetricSpace.toUniformSpace", "ContinuousMultilinearMap", "NormedField.toField", "instOfNatNat", "ContinuousMultilinearMap.funLike", "Field.toSemifield", "Semifield.toDivisionSemiring", "SeminormedAddCommGroup.toPseudoM...
true
_private.Mathlib.Analysis.Meromorphic.Divisor.0.MeromorphicOn.divisor_const._simp_1_5
Mathlib.Analysis.Meromorphic.Divisor
[ "Decidable", "propext", "Decidable.not_not", "Eq", "Not" ]
false
LieSubalgebra.root._proof_1
Mathlib.Algebra.Lie.Weights.Killing
[ "IsDomain", "Field.toSemifield", "instIsDomain", "Semifield.toDivisionSemiring", "DivisionSemiring.toSemiring", "Field" ]
false
_private.Mathlib.Analysis.Convex.Side.0.Affine.Simplex.wSameSide_affineSpan_faceOpposite_point_left_iff._simp_1_3
Mathlib.Analysis.Convex.Side
[ "propext", "Or", "or_comm", "Eq" ]
false
Topology.IsInducing.hasSum_iff
Mathlib.Topology.Algebra.InfiniteSum.Basic
[ "Eq.mpr", "congrArg", "Finset", "AddMonoid.toAddZeroClass", "SummationFilter", "Function.comp", "Membership.mem", "nhds", "AddZeroClass.toAddZero", "id", "AddMonoidHomClass", "Topology.IsInducing", "map_sum", "Topology.IsInducing.tendsto_nhds_iff", "AddCommMonoid", "TopologicalSpace", ...
true
OrderDual.instCancelCommMonoid.eq_1
Mathlib.Algebra.Order.Group.Synonym
[ "CancelCommMonoid.toCommMonoid", "CancelCommMonoid.mk", "OrderDual.instCancelCommMonoid._proof_1", "OrderDual.instCancelCommMonoid", "Eq.refl", "OrderDual", "OrderDual.instCommMonoid", "Eq", "CancelCommMonoid" ]
true
_private.Init.Data.Vector.InsertIdx.0.Vector.getElem_insertIdx_of_gt._proof_1
Init.Data.Vector.InsertIdx
[ "Nat.lt_of_not_le", "False", "Lean.Omega.Constraint.not_sat'_of_isImpossible", "of_decide_eq_true", "le_of_le_of_eq", "Lean.Omega.Constraint.mk", "Lean.Omega.Constraint.combine_sat'", "Int.add_one_le_of_lt", "HSub.hSub", "Lean.Omega.Int.add_congr", "Lean.Omega.LinearCombo.eval", "Option.some",...
false
_private.Mathlib.Algebra.Category.CommBialgCat.0.CommBialgCat.mk.inj
Mathlib.Algebra.Category.CommBialgCat
[ "_private.Mathlib.Algebra.Category.CommBialgCat.0.CommBialgCat.mk.noConfusion", "CommRing", "CommSemiring.toSemiring", "And", "CommRing.toCommSemiring", "Bialgebra", "And.intro", "_private.Mathlib.Algebra.Category.CommBialgCat.0.CommBialgCat.mk", "HEq", "Eq", "CommBialgCat" ]
true
CategoryTheory.Join.mkNatIso._proof_1
Mathlib.CategoryTheory.Join.Basic
[ "Eq.mpr", "CategoryTheory.Category.assoc", "CategoryTheory.Iso.comp_inv_eq", "CategoryTheory.Functor", "CategoryTheory.Join.instCategory", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "congrArg", "CategoryTheory.Functor.category", "CategoryTheory.Iso.inv_comp_eq", "CategoryTheory.Func...
false
CategoryTheory.Equalizer.Sieve.firstMap
Mathlib.CategoryTheory.Sites.EqualizerSheafCondition
[ "CategoryTheory.Functor", "Opposite", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "CategoryTheory.Limits.Pi.π", "Subtype", "CategoryTheory.Sieve.arrows", "CategoryTheory.Equalizer.Sieve.SecondObj._proof_1", "Sigma.fst", "CategoryTheory.Sieve", "Subtype.mk", "Opposite.op", "Catego...
true
Filter.atBot_countable_basis
Mathlib.Order.Filter.AtTopBot.CountablyGenerated
[ "Filter.HasCountableBasis.mk", "IsCodirectedOrder", "setOf", "Filter.atBot_basis", "Preorder.toLE", "Filter.HasCountableBasis", "Filter.HasBasis", "SetCoe.countable", "True", "Set.to_countable", "Countable", "Nonempty", "Filter.atBot", "Set.Iic", "Preorder" ]
true
Lean.ParserCompiler.Context.rec
Lean.ParserCompiler
[ "Lean.ParserCompiler.Context.mk", "Lean.ParserCompiler.CombinatorAttribute", "Lean.KeyedDeclsAttribute", "Lean.ParserCompiler.Context", "Lean.Name" ]
false
CategoryTheory.IsAddMonHom.Normal.isAddMonHom
Mathlib.CategoryTheory.Monoidal.Cartesian.Normal
[ "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "CategoryTheory.IsAddMonHom", "CategoryTheory.SemiCartesianMonoidalCategory.toMonoidalCategory", "CategoryTheory.CartesianMonoidalCategory", "CategoryTheory.AddGrpObj", "CategoryTheory.Category.toCategoryStruct", "CategoryTheory.IsAddMonHom.Norma...
true
Filter.subseq_tendsto_of_neBot
Mathlib.Order.Filter.AtTopBot.CountablyGenerated
[ "StrictMono", "Filter.map", "Filter.NeBot", "Function.comp", "Exists", "Filter.exists_seq_comp_tendsto", "StrictMono.tendsto_atTop", "Filter.instInf", "Nat.instNoMaxOrder", "Filter.strictMono_subseq_of_tendsto_atTop", "And.casesOn", "Filter.atTop", "And", "Exists.casesOn", "And.right", ...
true
Std.DTreeMap.Internal.Impl.getKeyGT.eq_2
Std.Data.DTreeMap.Internal.Model
[ "Ordering.gt", "instDecidableEqOrdering", "Ord", "Std.TransOrd", "Std.DTreeMap.Internal.Impl.Ordered", "Membership.mem", "Exists", "Ordering", "Std.DTreeMap.Internal.Impl.inner", "Std.DTreeMap.Internal.Impl.Ordered.right", "Std.DTreeMap.Internal.Impl.getEntryGT._proof_5", "Ord.compare", "dit...
true
CategoryTheory.Limits.isBilimitOfTotal._proof_2
Mathlib.CategoryTheory.Preadditive.Biproducts
[ "Eq.mpr", "CategoryTheory.Category.assoc", "CategoryTheory.Limits.Cone.π", "CategoryTheory.Functor", "CategoryTheory.Limits.Cone", "Finset.univ", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "congrArg", "AddCommGroup.toAddCommMonoid", "Finset", "CategoryTheory.Limits.Bicone.toCone",...
false
RingCon.instNonAssocSemiringQuotient._proof_4
Mathlib.RingTheory.Congruence.Defs
[ "NonAssocSemiring.toAddCommMonoidWithOne", "RingCon.toCon", "instHSMul", "AddMonoid.toAddSemigroup", "RingCon.instNatCastQuotient", "AddMonoid.toAddZeroClass", "AddMonoidWithOne.natCast_succ._autoParam", "AddMonoid.toNSMul", "NonUnitalNonAssocSemiring.toMulZeroClass", "Quotient.mk''", "RingCon",...
false
Matrix.smul_eq_diagonal_mul
Mathlib.Data.Matrix.Mul
[ "Matrix.smul", "instHSMul", "instSMulOfMul", "HMul.hMul", "congrArg", "Matrix", "Matrix.instHMulOfFintypeOfMulOfAddCommMonoid", "NonUnitalNonAssocSemiring.toMulZeroClass", "Matrix.diagonal_mul", "NonUnitalNonAssocSemiring.toAddCommMonoid", "Fintype", "Distrib.toMul", "True", "eq_self", "...
true
ContinuousLinearMap.uncurryBilinear._proof_9
Mathlib.Analysis.Analytic.Linear
[ "AddMonoid.toAddSemigroup", "ContinuousLinearMap.addCommGroup._proof_6", "PseudoMetricSpace.toUniformSpace", "AddCommGroup.toAddGroup", "AddSemigroup.toAdd", "SeminormedAddCommGroup.toPseudoMetricSpace", "AddGroup.toSubNegMonoid", "SeminormedAddCommGroup.toAddCommGroup", "SubNegMonoid.toAddMonoid", ...
false
MonoidAlgebra.support_single_mul_subset
Mathlib.Algebra.MonoidAlgebra.Support
[ "Eq.mpr", "HMul.hMul", "Finset.instIsTransSubset", "congrArg", "Finset", "Finset.instReflSubset", "Mul", "Finsupp.support", "MonoidAlgebra.instMul", "HasSubset.Subset.trans", "id", "HasSubset.Subset", "subset_refl", "Finset.image₂_subset_right", "Finset.mul", "Finset.image₂_singleton_l...
true
_private.Mathlib.AlgebraicTopology.SimplexCategory.GeneratorsRelations.NormalForms.0.SimplexCategoryGenRel.IsAdmissible.head._proof_1
Mathlib.AlgebraicTopology.SimplexCategory.GeneratorsRelations.NormalForms
[ "Lean.RArray.leaf", "False", "congrArg", "Int.Linear.le_unsat", "List.length_cons", "Classical.byContradiction", "Nat.not_le_eq", "Nat.ToInt.add_congr", "Lean.Grind.Nat.lt_eq", "Eq.mp", "Nat.ToInt.natCast_ofNat", "Int.Linear.Expr.add", "Nat.Linear.ExprCnstr.eq_of_toNormPoly_eq", "id", "L...
false
Mathlib.Tactic.Coherence.LiftObj_tensor
Mathlib.Tactic.CategoryTheory.Coherence
[ "CategoryTheory.MonoidalCategory", "CategoryTheory.FreeMonoidalCategory.instMonoidalCategory", "CategoryTheory.FreeMonoidalCategory.categoryFreeMonoidalCategory", "Mathlib.Tactic.Coherence.LiftObj.lift", "CategoryTheory.MonoidalCategoryStruct.tensorObj", "CategoryTheory.FreeMonoidalCategory", "CategoryT...
true
Complex.nnnorm_intCast
Mathlib.Analysis.Complex.Basic
[ "Int.cast", "NormedCommRing.toSeminormedCommRing", "SeminormedAddGroup.toNNNorm", "NNNorm.nnnorm", "Complex.instNormedField", "NNReal.eq", "NNReal", "Int", "Complex.instIntCast", "SeminormedAddCommGroup.toSeminormedAddGroup", "Int.instNormedCommRing", "NonUnitalSeminormedCommRing.toNonUnitalSe...
true
MeasureTheory.hahn_decomposition
Mathlib.MeasureTheory.Measure.Decomposition.Hahn
[ "ENNReal.coe_toNNReal", "NNReal.instTopologicalSpace", "half_lt_self", "Mathlib.Tactic.Ring.Common.mul_pf_left", "Iff.mpr", "MeasurableSet.diff", "Real.instIsOrderedRing", "Mathlib.Tactic.Ring.Common.neg_zero", "Eq.mpr", "Set.union_diff_left", "NegZeroClass.toNeg", "NonAssocSemiring.toAddCommM...
true
HasDerivAt.cos
Mathlib.Analysis.SpecialFunctions.Trigonometric.Deriv
[ "NormedCommRing.toSeminormedCommRing", "Real", "NonUnitalCommRing.toNonUnitalNonAssocCommRing", "Semiring.toModule", "RCLike.toNormedAlgebra", "HMul.hMul", "IsTopologicalRing.toIsTopologicalSemiring", "Real.denselyNormedField", "Real.cos", "Real.instRCLike", "IsTopologicalSemiring.toContinuousMu...
true
Lean.Declaration.getNames
Lean.Declaration
[ "Lean.AxiomVal.toConstantVal", "List.map", "Lean.InductiveType", "Lean.InductiveType.name", "Lean.ConstantVal.name", "List.cons", "Lean.Declaration", "List", "Lean.TheoremVal.toConstantVal", "Unit", "Lean.OpaqueVal", "Nat", "Lean.Name.appendCore", "Bool", "Lean.OpaqueVal.toConstantVal", ...
true
CategoryTheory.Limits.inv_prodComparison_map_snd
Mathlib.CategoryTheory.Limits.Shapes.BinaryProducts
[ "CategoryTheory.Functor", "CategoryTheory.IsIso", "CategoryTheory.IsIso.inv_comp_eq._simp_2", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "congrArg", "CategoryTheory.Functor.map", "CategoryTheory.Limits.prod.snd", "CategoryTheory.Limits.prodComparison_snd", "CategoryTheory.Limits.HasBi...
true
padicValInt.eq_zero_of_not_dvd
Mathlib.NumberTheory.Padics.PadicVal.Basic
[ "False", "Dvd.dvd", "eq_false", "congrArg", "padicValInt", "instOfNatNat", "Int", "Nat.cast", "Int.instDvd", "padicValInt.eq_zero_iff._simp_1", "instOfNat", "Nat", "True", "of_eq_true", "Or", "instNatCastInt", "OfNat.ofNat", "not_false_eq_true", "or_true", "Eq", "Not", "Eq....
true
ENat.toNat_zero
Mathlib.Data.ENat.Basic
[ "CommSemiring.toSemiring", "instOfNatNat", "Nat", "ENat", "instCommSemiringENat", "ENat.toNat", "Zero.toOfNat0", "OfNat.ofNat", "Eq", "rfl", "MulZeroClass.toZero", "instMulZeroClassOfSemiring" ]
true
SeparationQuotient.continuousOn_lift._simp_1
Mathlib.Topology.Inseparable
[ "SeparationQuotient.continuousOn_lift", "TopologicalSpace", "Set.preimage", "SeparationQuotient", "SeparationQuotient.mk", "propext", "ContinuousOn", "SeparationQuotient.lift", "instTopologicalSpaceSeparationQuotient", "Eq", "Inseparable", "Set" ]
false
compactumToCompHaus.isoOfTopologicalSpace._proof_6
Mathlib.Topology.Category.Compactum
[ "Compactum.instT2SpaceA", "CategoryTheory.ofTypeMonad", "Compactum.instTopologicalSpaceA", "Compactum.ofTopologicalSpace", "CategoryTheory.Monad.Algebra.A", "TopCat.str", "TopCat.carrier", "Ultrafilter.monad", "T2Space", "True", "CategoryTheory.types", "Ultrafilter.lawfulMonad", "CompHaus.in...
false
wrapped._@.Mathlib.MeasureTheory.Integral.CurveIntegral.Basic.4195796962._hygCtx._hyg.2
Mathlib.MeasureTheory.Integral.CurveIntegral.Basic
[ "Real", "NormedSpace", "AddCommGroup.toAddCommMonoid", "NormedSpace.toModule", "PseudoMetricSpace.toUniformSpace", "NormedField.toField", "Subtype", "Field.toSemifield", "RCLike.toDenselyNormedField", "Subtype.mk", "ContinuousLinearMap", "_private.Mathlib.MeasureTheory.Integral.CurveIntegral.B...
false
Std.TreeMap.Raw.getKey_union_of_not_mem_left
Std.Data.TreeMap.Raw.Lemmas
[ "Std.TreeMap.Raw.instUnion", "Std.TreeMap.Raw.WF.out", "Membership.mem", "Ordering", "Std.TreeMap.Raw.instMembership", "Std.TransCmp", "Std.TreeMap.Raw.WF", "Std.TreeMap.Raw.inner", "Std.TreeMap.Raw", "Std.TreeMap.Raw.getKey", "Std.DTreeMap.Raw.getKey_union_of_not_mem_left", "Std.TreeMap.Raw.m...
true
Nat.toList_rcc_eq_cons_iff
Init.Data.Range.Polymorphic.NatLemmas
[ "Eq.mpr", "congrArg", "Nat.toList_rcc_eq_toList_rco", "Nat.toList_rco_eq_cons_iff._simp_1", "id", "_private.Init.Data.Range.Polymorphic.NatLemmas.0.Nat.toList_rcc_eq_cons_iff._proof_1_1", "Std.PRange.instIsAlwaysFiniteNat_1", "instOfNatNat", "LE.le", "and_congr_right_iff._simp_1", "instLENat", ...
true
CategoryTheory.MonoidalCategory.MonoidalRightAction.mk.noConfusion
Mathlib.CategoryTheory.Monoidal.Action.Basic
[ "CategoryTheory.MonoidalCategory.MonoidalRightAction.actionHomRight_id._autoParam", "CategoryTheory.MonoidalCategory.MonoidalRightAction.mk", "CategoryTheory.MonoidalCategoryStruct.whiskerLeft", "CategoryTheory.MonoidalCategory.MonoidalRightAction.actionHom_comp._autoParam", "CategoryTheory.MonoidalCategory...
false
_private.Mathlib.NumberTheory.FLT.Four.0.Fermat42.not_minimal._proof_1_7
Mathlib.NumberTheory.FLT.Four
[ "instPowNat", "Lean.RArray.leaf", "Int.instDiv", "False", "Lean.Grind.CommRing.Mon.mult", "instHDiv", "Lean.Grind.CommRing.Poly", "Lean.Grind.CommRing.Expr", "HMul.hMul", "Lean.Grind.CommRing.Expr.mul", "Lean.Grind.CommRing.Stepwise.simp", "Lean.Grind.CommRing.Poly.add", "Lean.Grind.CommRing...
false
Lean.Lsp.instToJsonLeanModule.toJson
Lean.Data.Lsp.Extra
[ "Lean.Json", "Lean.Json.mkObj", "Lean.Json.opt", "Lean.Lsp.LeanModule.name", "String", "Lean.Lsp.LeanModule.uri", "Lean.instToJsonString", "Lean.ToJson.toJson", "Prod.mk", "Lean.instToJsonJson", "List.cons", "Lean.Lsp.DocumentUri", "List", "Lean.Lsp.LeanModule.data?", "Prod", "Lean.Lsp...
true
LocallyConnectedSpace.open_connected_basis
Mathlib.Topology.Connected.LocallyConnected
[ "IsConnected", "Membership.mem", "nhds", "id", "TopologicalSpace", "And", "Filter.HasBasis", "IsOpen", "LocallyConnectedSpace", "Set.instMembership", "Set" ]
true
LinearEquiv.toSpanNonzeroSingleton._proof_3
Mathlib.LinearAlgebra.Span.Basic
[ "RingHomInvPair", "RingHomInvPair.ids", "RingHom.id", "Semiring.toNonAssocSemiring", "Ring.toSemiring", "Ring" ]
false
ENNReal.toNNReal_toReal_eq
Mathlib.Data.ENNReal.Basic
[ "Real.instLE", "Real", "Real.instZero", "congrArg", "Real.instSemilatticeSup", "NNReal.eq", "NNReal", "ENNReal.toNNReal", "LE.le", "ENNReal.toReal", "True", "eq_self", "ENNReal", "of_eq_true", "Zero.toOfNat0", "congrFun'", "OfNat.ofNat", "Eq", "NNReal.toReal", "sup_of_le_left",...
true
_private.Mathlib.Order.Interval.Finset.Basic.0.Finset.Ioc_erase_right._simp_1_1
Mathlib.Order.Interval.Finset.Basic
[ "Finset", "Finset.coe_inj", "SetLike.coe", "Finset.instSetLike", "propext", "Eq.symm", "Eq", "Set" ]
false
TypeVec.toSubtype'._proof_3
Mathlib.Data.TypeVec
[ "Fin2.fz", "TypeVec.ofRepeat", "Eq.rec", "TypeVec.prod.mk", "Subtype", "instOfNatNat", "Prod.fst", "TypeVec.prod", "instHAdd", "HAdd.hAdd", "Nat", "instAddNat", "Eq.refl", "TypeVec.repeat", "Prod", "OfNat.ofNat", "Subtype.val", "TypeVec.Arrow", "Eq", "Prod.snd", "Fin2", "Ty...
false
CategoryTheory.Abelian.IsGrothendieckAbelian.OppositeModuleEmbedding.instRingEmbeddingRing._proof_45
Mathlib.CategoryTheory.Abelian.GrothendieckCategory.ModuleEmbedding.Opposite
[ "CategoryTheory.Abelian.toPreadditive", "Semiring.toNatCast", "CategoryTheory.Functor", "Mul.mk", "CategoryTheory.Abelian.IsGrothendieckAbelian.OppositeModuleEmbedding.instRingEmbeddingRing._proof_11", "MulOpposite.instRing._proof_6", "CategoryTheory.Abelian.IsGrothendieckAbelian.OppositeModuleEmbedding...
false
AlgebraicGeometry.Scheme.GlueData.ι_isoLocallyRingedSpace_inv
Mathlib.AlgebraicGeometry.Gluing
[ "AlgebraicGeometry.LocallyRingedSpace.GlueData.toGlueData", "CategoryTheory.GlueData.diagram", "AlgebraicGeometry.Scheme.GlueData", "AlgebraicGeometry.Scheme.Hom.toLRSHom", "CategoryTheory.Limits.MultispanShape.prod", "AlgebraicGeometry.Scheme", "CategoryTheory.Limits.hasColimitOfHasColimitsOfShape", ...
true
_private.Mathlib.Analysis.Matrix.Order.0.Matrix.PosSemidef.matrixPreInnerProductSpace._proof_1
Mathlib.Analysis.Matrix.Order
[ "NormedCommRing.toNormedRing", "Semigroup.toMul", "Matrix.PosSemidef.isHermitian", "Matrix.IsHermitian.eq", "NonUnitalCommRing.toNonUnitalNonAssocCommRing", "NormedRing.toRing", "HMul.hMul", "Ring.toNonAssocRing", "congrArg", "CommSemiring.toSemiring", "Matrix", "Matrix.instHMulOfFintypeOfMulO...
false
Polynomial.toContinuousMapOnAlgHom._proof_6
Mathlib.Topology.ContinuousMap.Polynomial
[ "NonAssocSemiring.toAddCommMonoidWithOne", "instHSMul", "Algebra.algebraMap", "Polynomial.eval_C", "congrArg", "CommSemiring.toSemiring", "IsTopologicalSemiring", "ContinuousMap", "Polynomial.algebraOfAlgebra", "RingHom", "Algebra.toSMul", "Membership.mem", "Set.Elem", "Algebra.id", "Con...
false
_private.Lean.DocString.Markdown.0.Lean.Doc.escape
Lean.DocString.Markdown
[ "Pure.pure", "instDecidableNot", "String.Pos.next", "Monad.toApplicative", "String", "String.push", "Lean.instForInLoopUnitOfMonad", "ForInStep.done", "instDecidableEqBool", "Prod.mk", "String.startPos", "ForIn.forIn", "Lean.Loop", "Id.run", "Id", "Applicative.toPure", "ForInStep", ...
true
_private.Lean.Elab.Do.PatternVar.0.Lean.Elab.Do.getExprPatternVarsEx.match_1
Lean.Elab.Do.PatternVar
[ "Lean.TSyntax", "Unit.unit", "Option.casesOn", "Option.some", "List.cons", "Option.none", "Unit", "Lean.SyntaxNodeKind", "Lean.Name.mkStr1", "List.nil", "Option" ]
false
CategoryTheory.IsSplitCoequalizer.map._proof_2
Mathlib.CategoryTheory.Limits.Shapes.SplitCoequalizer
[ "Eq.mpr", "CategoryTheory.Functor", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "congrArg", "CategoryTheory.CategoryStruct.id", "id", "CategoryTheory.IsSplitCoequalizer.rightSection_π", "CategoryTheory.Functor.map", "CategoryTheory.IsSplitCoequalizer.rightSection", "CategoryTheory.Fu...
false
Std.DTreeMap.Internal.Impl.minEntry?.eq_def
Std.Data.DTreeMap.Internal.Queries
[ "Eq.mpr", "congrArg", "invImage", "instSizeOfDefault", "Option.some", "namedPattern", "Std.DTreeMap.Internal.Impl.inner", "id", "sizeOfWFRel", "Option.none", "Unit", "Std.DTreeMap.Internal.Impl.minEntry?", "Std.DTreeMap.Internal.Impl.minEntry?._proof_1", "Std.DTreeMap.Internal.Impl._sizeOf...
true
Nat.zeckendorf.eq_2
Mathlib.Data.Nat.Fib.Zeckendorf
[ "Nat.zeckendorf", "HSub.hSub", "instSubNat", "instOfNatNat", "List.cons", "Nat.greatestFib", "List", "instHAdd", "Unit", "instHSub", "HAdd.hAdd", "Nat.fib", "Nat", "instAddNat", "Eq.refl", "Nat.zeckendorf.eq_def", "OfNat.ofNat", "Nat.succ", "Nat.zeckendorf.match_1", "Eq", "Eq...
true
Batteries.RBNode.RedRed.casesOn
Batteries.Data.RBMap.WF
[ "Batteries.RBNode", "Batteries.RBNode.RedRed.balanced", "Batteries.RBNode.RedRed", "Batteries.RBColor.red", "Batteries.RBColor", "Batteries.RBNode.RedRed.rec", "Nat", "Batteries.RBNode.RedRed.redred", "Batteries.RBNode.node", "Batteries.RBNode.Balanced" ]
false
MonoidHom.ergodic_of_dense_iUnion_preimage_one
Mathlib.Dynamics.Ergodic.Action.OfMinimal
[ "Ergodic", "MeasureTheory.Measure.IsHaarMeasure", "MeasureTheory.Measure", "Continuous", "MonoidHom.instFunLike", "InvOneClass.toOne", "DivInvOneMonoid.toInvOneClass", "MeasureTheory.Measure.IsHaarMeasure.toIsMulLeftInvariant", "MonoidHom", "Monoid.toMulOneClass", "Set.one", "SecondCountableTo...
true
Ideal.mulQuot._proof_2
Mathlib.RingTheory.OrderOfVanishing.Basic
[ "CommRing", "NonUnitalCommRing.toNonUnitalNonAssocCommRing", "Semiring.toModule", "CommRing.toNonUnitalCommRing", "CommSemiring.toSemiring", "NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring", "smulCommClass_self", "NonUnitalNonAssocSemiring.toAddCommMonoid", "CommRing.toCommSemiring", "CommMonoi...
false
ContDiffMapSupportedIn.withSeminorms'
Mathlib.Analysis.Distribution.ContDiffMapSupportedIn
[ "NormedCommRing.toSeminormedCommRing", "Real", "NormedSpace.toIsBoundedSMul", "UniformContinuousConstSMul.to_continuousConstSMul", "NormedSpace", "ContDiffMapSupportedIn.seminorm", "DistribMulAction.toDistribSMul", "AddCommGroup.toAddCommMonoid", "NormedSpace.toModule", "AddMonoid.toAddZeroClass",...
true
Std.DHashMap.Raw.Const.alter.congr_simp
Std.Data.DHashMap.RawLemmas
[ "Std.DHashMap.Raw", "Eq.rec", "Std.DHashMap.Raw.Const.alter", "EquivBEq", "Eq.refl", "Hashable", "BEq", "Eq", "Option" ]
true
AlgebraicGeometry.LocallyRingedSpace.Γ_def
Mathlib.Geometry.RingedSpace.LocallyRingedSpace
[ "CategoryTheory.Functor.op", "CategoryTheory.Functor", "Opposite", "AlgebraicGeometry.SheafedSpace", "AlgebraicGeometry.LocallyRingedSpace.Γ", "CommRingCat", "CategoryTheory.Functor.comp", "CommRingCat.instCategory", "AlgebraicGeometry.LocallyRingedSpace.forgetToSheafedSpace", "AlgebraicGeometry.L...
true
WeierstrassCurve.Affine.baseChange_a₂
Mathlib.AlgebraicGeometry.EllipticCurve.Affine.Basic
[ "CommRing", "Algebra.algebraMap", "CommSemiring.toSemiring", "Algebra", "RingHom", "WeierstrassCurve.a₂", "CommRing.toCommSemiring", "RingHom.instFunLike", "WeierstrassCurve.Affine", "Eq.refl", "WeierstrassCurve.Affine.baseChange", "Semiring.toNonAssocSemiring", "Eq", "DFunLike.coe" ]
true
SFinKer.instMonoidalCategory._proof_11
Mathlib.Probability.Kernel.Category.SFinKer
[ "MeasurableEquiv.instEquivLike", "ProbabilityTheory.IsZeroOrMarkovKernel.isFiniteKernel", "ProbabilityTheory.IsSFiniteKernel", "SFinKer", "SFinKer.of", "inferInstance", "SFinKer.instMonoidalCategory._proof_1", "ProbabilityTheory.Kernel.deterministic", "SFinKer.str", "ProbabilityTheory.Kernel.isMar...
false
CategoryTheory.Lax.LaxTrans.noConfusionType
Mathlib.CategoryTheory.Bicategory.NaturalTransformation.Lax
[ "CategoryTheory.Lax.LaxTrans.casesOn", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "CategoryTheory.Bicategory.rightUnitor", "CategoryTheory.CategoryStruct.id", "CategoryTheory.Bicategory.whiskerRight", "CategoryTheory.PrelaxFunctorStruct.map₂", "CategoryTheory.Bicategory.toCategoryStruct",...
false
CategoryTheory.IsSplitEqualizer.casesOn
Mathlib.CategoryTheory.Limits.Shapes.SplitEqualizer
[ "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "CategoryTheory.IsSplitEqualizer", "CategoryTheory.CategoryStruct.id", "CategoryTheory.IsSplitEqualizer.mk", "CategoryTheory.CategoryStruct.comp", "CategoryTheory.IsSplitEqualizer.rec", "CategoryTheory.Category.toCategoryStruct", "Eq", "Categ...
false
Lean.Loop._sizeOf_1
Init.While
[ "instOfNatNat", "Lean.Loop", "Nat", "Lean.Loop.rec", "OfNat.ofNat" ]
false
CategoryTheory.CatEnriched.instBicategory._proof_4
Mathlib.CategoryTheory.Bicategory.CatEnriched
[ "CategoryTheory.Cat.category", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "congrArg", "CategoryTheory.CatEnriched.hComp", "CategoryTheory.CategoryStruct.id", "inferInstance", "CategoryTheory.Cat", "CategoryTheory.SemiCartesianMonoidalCategory.toMonoidalCategory", "CategoryTheory.Categ...
false
_private.Mathlib.Data.Finsupp.Single.0.Finsupp.card_support_eq_one._simp_1_2
Mathlib.Data.Finsupp.Single
[ "Finsupp.instFunLike", "Finset", "Finsupp.support", "Ne", "Finsupp.support_eq_singleton", "And", "propext", "Zero.toOfNat0", "Finset.instSingleton", "Singleton.singleton", "OfNat.ofNat", "Eq", "DFunLike.coe", "Finsupp", "Finsupp.single", "Zero" ]
false
_private.Std.Data.DTreeMap.Internal.Lemmas.0.Std.DTreeMap.Internal.Impl.Const.size_alter_eq_self_of_mem._simp_1_1
Std.Data.DTreeMap.Internal.Lemmas
[ "Ord", "Membership.mem", "Bool.true", "Std.DTreeMap.Internal.Impl.contains", "propext", "Bool", "Std.DTreeMap.Internal.Impl.mem_iff_contains", "Eq", "Std.DTreeMap.Internal.Impl", "Std.DTreeMap.Internal.Impl.instMembershipOfOrd" ]
false
Std.ExtTreeMap.getKeyD_insertIfNew
Std.Data.ExtTreeMap.Lemmas
[ "instDecidableNot", "instDecidableEqOrdering", "Std.ExtTreeMap.instDecidableMem", "Membership.mem", "Ordering", "Ordering.eq", "Std.TransCmp", "And", "Std.ExtTreeMap", "Std.ExtTreeMap.getKeyD", "Std.ExtTreeMap.inner", "Std.ExtTreeMap.insertIfNew", "Std.ExtTreeMap.instMembershipOfTransCmp", ...
true
LinearMap.const_apply
Mathlib.LinearAlgebra.Pi
[ "Pi.Function.module", "Pi.addCommMonoid", "LinearMap.instFunLike", "LinearMap.const", "LinearMap", "AddCommMonoid", "Function.const", "Semiring", "Module", "RingHom.id", "Semiring.toNonAssocSemiring", "Eq", "DFunLike.coe", "rfl" ]
true
Lean.Meta.RefinedDiscrTree.ExprInfo.mk.noConfusion
Mathlib.Lean.Meta.RefinedDiscrTree.Basic
[ "Lean.Meta.RefinedDiscrTree.ExprInfo", "Lean.Meta.RefinedDiscrTree.ExprInfo.noConfusion", "Lean.Expr", "id", "Lean.FVarId", "Lean.Meta.RefinedDiscrTree.ExprInfo.mk", "List", "Lean.LocalInstances", "Eq", "Lean.LocalContext", "Lean.Meta.Config" ]
false
TopCat.toSSetObjEdgeEquiv._proof_2
Mathlib.Topology.Homotopy.TopCat.ZerothHomotopy
[ "Equiv.apply_symm_apply", "Opposite", "Equiv.instEquivLike", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "TopCat.toSSetObj₁Equiv_apply_zero", "congrArg", "CategoryTheory.ConcreteCategory.hom", "TopCat.toSSet", "TopCat.instCategory", "ContinuousMap", "CategoryTheory.Functor.category...
false
List.forA
Init.Data.List.Control
[ "List.brecOn", "List.forA._f", "Applicative", "List", "PUnit" ]
true
CategoryTheory.FreeBicategory.inclusion
Mathlib.CategoryTheory.Bicategory.Coherence
[ "CategoryTheory.FreeBicategory.inclusion._proof_8", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "CategoryTheory.locallyDiscreteBicategory", "CategoryTheory.Paths.categoryPaths", "CategoryTheory.Paths", "CategoryTheory.FreeBicategory.inclusion._proof_6", "CategoryTheory.CategoryStruct.id", ...
true
Matrix.coe_units_inv
Mathlib.LinearAlgebra.Matrix.NonsingularInverse
[ "Units.val", "Eq.mpr", "MulOne.toOne", "CommRing", "NonUnitalCommRing.toNonUnitalNonAssocCommRing", "CommRing.toNonUnitalCommRing", "Monoid.toMulOneClass", "congrArg", "CommSemiring.toSemiring", "Matrix.instMulOfFintypeOfAddCommMonoid", "Matrix", "AddGroupWithOne.toAddMonoidWithOne", "Invert...
true
_private.Mathlib.Data.Int.Interval.0.Finset.Icc_succ_succ._simp_1_1
Mathlib.Data.Int.Interval
[ "Finset", "Preorder.toLE", "Membership.mem", "Finset.mem_Icc", "LE.le", "Finset.Icc", "And", "Finset.instSetLike", "propext", "LocallyFiniteOrder", "Eq", "SetLike.instMembership", "Preorder" ]
false
_private.Batteries.Data.List.Lemmas.0.List.getElem_idxOf_eq_idxOfNth_add._proof_1_21
Batteries.Data.List.Lemmas
[ "List.idxsOf", "Lean.Grind.nestedProof", "Lean.Grind.Nat.lt_eq", "instOfNatNat", "LE.le", "instLENat", "_private.Batteries.Data.List.Lemmas.0.List.getElem_idxOf_eq_idxOfNth_add._proof_1_18", "List.cons", "GetElem.getElem", "List.findIdxs", "List", "instHAdd", "BEq.beq", "HAdd.hAdd", "Nat...
false
Lean.Meta.Grind.Arith.CommRing.CommRing.subFn?._inherited_default
Lean.Meta.Tactic.Grind.Arith.CommRing.Types
[ "Lean.Expr", "id", "Option.none", "Option" ]
false
_private.Mathlib.Analysis.Calculus.ContDiff.Defs.0.contDiffAt_one_iff._simp_1_1
Mathlib.Analysis.Calculus.ContDiff.Defs
[ "Filter.instMembership", "HasFDerivAt", "ContDiffAt", "NormedCommRing.toSeminormedCommRing", "ContinuousLinearMap.toNormedAddCommGroup", "instAddMonoidWithOneENat", "NormedSpace", "ENat.instNatCast", "AddCommGroup.toAddCommMonoid", "NormedSpace.toModule", "PseudoMetricSpace.toUniformSpace", "M...
false
AdicCompletion.piEquivOfFintype
Mathlib.RingTheory.AdicCompletion.Functoriality
[ "LinearEquiv.symm", "CommRing", "Semiring.toModule", "Pi.addCommMonoid", "instAddCommMonoidDirectSum", "DirectSum.instModule", "CommSemiring.toSemiring", "AdicCompletion.congr", "AddCommGroup.toAddCommMonoid", "Pi.module", "AddCommGroup", "AdicCompletion.instAddCommGroup", "DirectSum.instAdd...
true
Padic.instNontriviallyNormedField
Mathlib.NumberTheory.Padics.PadicNumbers
[ "Nat.Prime", "Fact", "NormedField", "Padic.normedField", "NontriviallyNormedField.mk", "Nat", "Padic", "Padic.instNontriviallyNormedField._proof_2", "NontriviallyNormedField" ]
true