name
stringlengths
2
347
module
stringlengths
6
90
deps
listlengths
0
692
allowCompletion
bool
2 classes
isOfFinAddOrder_nsmul
Mathlib.GroupTheory.OrderOfElement
[ "instHSMul", "IsOfFinAddOrder.of_nsmul", "congrArg", "Decidable.eq_or_ne", "AddMonoid.toAddZeroClass", "AddMonoid.toNSMul", "AddZeroClass.toAddZero", "Ne", "instOfNatNat", "IsOfFinAddOrder.zero", "Or.casesOn", "iff_self", "IsOfFinAddOrder", "IsOfFinAddOrder.nsmul", "AddZero.toZero", "z...
true
_private.Std.Data.Internal.List.Associative.0.Std.Internal.List.Const.isEmpty_filter_eq_false._simp_1_1
Std.Data.Internal.List.Associative
[ "Exists", "propext", "Classical.not_forall", "Eq", "Not" ]
false
LeftCancelMonoid.toMonoid_injective
Mathlib.Algebra.Group.Ext
[ "Semigroup", "Monoid", "Semigroup.toMul", "One", "HMul.hMul", "LeftCancelMonoid.mk", "LeftCancelMonoid.casesOn", "IsLeftCancelMul", "Eq.rec", "Monoid.mk.noConfusion", "Monoid.casesOn", "LeftCancelMonoid.toMonoid", "instOfNatNat", "Monoid.mk", "instHAdd", "LeftCancelMonoid", "HAdd.hAd...
true
_private.Mathlib.Analysis.Complex.Liouville.0.Complex.norm_iteratedDeriv_le_of_forall_mem_sphere_norm_le._simp_1_1
Mathlib.Analysis.Complex.Liouville
[ "instHDiv", "HMul.hMul", "DivisionCommMonoid.toDivisionMonoid", "DivInvOneMonoid.toInvOneClass", "Monoid.toMulOneClass", "DivisionCommMonoid", "DivisionMonoid.toDivInvOneMonoid", "MulOne.toMul", "HDiv.hDiv", "DivInvMonoid.toMonoid", "DivisionMonoid.toDivInvMonoid", "MulOneClass.toMulOne", "I...
false
Lean.Meta.Grind.instInhabitedSplitStatus.default
Lean.Meta.Tactic.Grind.Split
[ "Lean.Meta.Grind.SplitStatus", "Lean.Meta.Grind.SplitStatus.resolved" ]
true
Lean.Parser.Term.stateRefT.parenthesizer
Lean.Parser.Term
[ "Lean.Parser.Term.macroArg.parenthesizer", "Lean.Parser.withCache.parenthesizer", "Lean.Parser.mkAntiquot.parenthesizer", "Lean.PrettyPrinter.Parenthesizer", "instOfNatNat", "Lean.PrettyPrinter.Parenthesizer.leadingNode.parenthesizer", "Lean.PrettyPrinter.Parenthesizer.andthen.parenthesizer", "Lean.Pa...
true
Std.LawfulOrderMin.toMinEqOr
Init.Data.Order.Classes
[ "Std.LawfulOrderMin", "LE", "Min", "Std.MinEqOr" ]
true
_private.Mathlib.Analysis.Calculus.ContDiff.Bounds.0.norm_iteratedFDerivWithin_comp_le_aux._simp_1_3
Mathlib.Analysis.Calculus.ContDiff.Bounds
[ "Finset", "Finset.mem_range_succ_iff", "Membership.mem", "LE.le", "instLENat", "Finset.range", "Finset.instSetLike", "Nat", "propext", "Nat.succ", "Eq", "SetLike.instMembership" ]
false
Finsupp.embSigma_apply
Mathlib.Data.Finsupp.Sigma
[ "Finsupp.instFunLike", "Eq.mpr", "False", "eq_false", "congrArg", "Membership.mem", "Function.Embedding.mk", "Eq.rec", "dif_pos", "Set.instSingletonSet", "id", "Sigma.fst", "dif_neg", "Set.mem_preimage._simp_1", "Finsupp.embDomain_apply_self", "dite", "Function.Embedding", "Set.pre...
true
Sbtw.oangle_eq_right
Mathlib.Geometry.Euclidean.Angle.Oriented.Affine
[ "EuclideanGeometry.oangle", "InnerProductSpace.toNormedSpace", "Sbtw.ne_left", "Real.partialOrder", "Real", "Real.Angle", "Module.Oriented", "Real.instRCLike", "AddCommGroup.toAddCommMonoid", "NormedSpace.toModule", "Fact", "Real.semiring", "Real.instRing", "instOfNatNat", "NormedAddTors...
true
CategoryTheory.Subfunctor.Subpresheaf.toRange_ι
Mathlib.CategoryTheory.Subfunctor.Image
[ "CategoryTheory.Functor", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "CategoryTheory.Functor.category", "CategoryTheory.Subfunctor.toFunctor", "CategoryTheory.Subfunctor.ι", "CategoryTheory.Subfunctor.range", "CategoryTheory.types", "CategoryTheory.CategoryStruct.comp", "CategoryTheor...
true
_private.Lean.Compiler.LCNF.Simp.JpCases.0.Lean.Compiler.LCNF.Simp.isJpCases?.go._sunfold
Lean.Compiler.LCNF.Simp.JpCases
[ "Lean.instBEqFVarId", "Lean.Compiler.LCNF.FunDecl", "Lean.FVarId", "instOfNatNat", "Lean.Compiler.LCNF.Purity.pure", "Lean.Compiler.LCNF.Param.fvarId", "_private.Lean.Compiler.LCNF.Simp.JpCases.0.Lean.Compiler.LCNF.Simp.isJpCases?.go.match_1", "Lean.Compiler.LCNF.Code", "GT.gt", "Option.none", "...
false
String.push_ne_empty
Init.Data.String.Lemmas.Basic
[ "Eq.mpr", "False", "String.toList_inj", "congrArg", "String.toList_push", "List.append_eq_nil_iff._simp_1", "String", "List.cons_ne_self._simp_1", "String.push", "id", "Ne", "String.toList_empty", "ne_eq", "List.cons", "instHAppendOfAppend", "List", "And", "String.toList", "congr...
true
Differential.logDeriv_mul
Mathlib.FieldTheory.Differential.Basic
[ "Derivation", "Mathlib.Tactic.Ring.Common.mul_pf_left", "Mathlib.Tactic.FieldSimp.zpow'_one", "Mathlib.Tactic.FieldSimp.NF.div_eq_eval₁", "Eq.mpr", "GroupWithZero.toMonoidWithZero", "NonAssocSemiring.toAddCommMonoidWithOne", "Mathlib.Tactic.FieldSimp.eq_div_of_eq_one_of_subst", "instHDiv", "NonUni...
true
_private.Lean.Elab.Tactic.BVDecide.Frontend.Normalize.0.Lean.Elab.Tactic.BVDecide.Frontend.Normalize.evalBVNormalize.match_1
Lean.Elab.Tactic.BVDecide.Frontend.Normalize
[ "Unit.unit", "Option.casesOn", "Option.some", "Lean.MVarId", "Option.none", "Unit", "Option" ]
false
LinearMap.range_toAddSubmonoid
Mathlib.Algebra.Module.Submodule.Range
[ "SemilinearMapClass.distribMulActionSemiHomClass", "Submodule.toAddSubmonoid", "AddMonoid.toAddZeroClass", "LinearMap.instFunLike", "RingHom", "LinearMap.range", "AddMonoidHom.mrange", "LinearMap.semilinearMapClass", "AddSubmonoid", "LinearMap", "AddCommMonoid", "RingHom.instFunLike", "Semir...
true
Lean.Lsp.LeanModule.mk.sizeOf_spec
Lean.Data.Lsp.Extra
[ "Lean.Json", "Option._sizeOf_inst", "String", "instOfNatNat", "Lean.Json._sizeOf_inst", "Lean.Lsp.DocumentUri", "Lean.Lsp.LeanModule._sizeOf_inst", "instHAdd", "HAdd.hAdd", "Nat", "SizeOf.sizeOf", "instAddNat", "String._sizeOf_inst", "Eq.refl", "OfNat.ofNat", "Eq", "Lean.Lsp.LeanModu...
true
SSet.stdSimplex.homOfLE_faceSingletonComplIso_inv_eq_facePairComplIso_inv_δ_castPred
Mathlib.AlgebraicTopology.SimplicialSet.StdSimplex
[ "SSet.Subcomplex.toSSet", "CategoryTheory.Category.assoc", "CategoryTheory.Iso.inv_hom_id", "Opposite", "SimplexCategory.instFintypeToTypeOrderHomFinHAddNatLenOfNat", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "congrArg", "CategoryTheory.instIsRegularMonoOfIsSplitMono", "Compl.compl",...
true
Real.instConditionallyCompleteLinearOrder._proof_3
Mathlib.Data.Real.Archimedean
[ "SemilatticeSup.le_sup_left", "Real", "Lattice.toSemilatticeSup", "Real.lattice", "PartialOrder.toPreorder", "Preorder.toLE", "LE.le", "SemilatticeSup.toPartialOrder", "SemilatticeSup.sup" ]
false
Ergodic.mem_extremePoints
Mathlib.Dynamics.Ergodic.Extreme
[ "MeasureTheory.MeasurePreserving", "Eq.mpr", "Ergodic", "MeasureTheory.Measure", "instSMulOfMul", "IsScalarTower.right", "Set.extremePoints", "congrArg", "CommSemiring.toSemiring", "Set.univ", "setOf", "Membership.mem", "Eq.mp", "Algebra.id", "MeasureTheory.IsProbabilityMeasure.measure_u...
true
MeasurableEquiv.shearSubRight
Mathlib.MeasureTheory.Group.Prod
[ "AddGroup.toSubtractionMonoid", "MeasurableEquiv.shearSubRight._proof_4", "NegZeroClass.toNeg", "Equiv.subRight", "AddMonoid.toAddZeroClass", "AddZeroClass.toAddZero", "Equiv", "SubtractionMonoid.toSubNegZeroMonoid", "MeasurableEquiv.shearSubRight._proof_2", "SubNegZeroMonoid.toNegZeroClass", "M...
true
ContinuousMap.restrict_apply
Mathlib.Topology.ContinuousMap.Basic
[ "ContinuousMap", "Membership.mem", "Set.Elem", "TopologicalSpace", "instTopologicalSpaceSubtype", "Subtype.val", "Eq", "Set.instMembership", "ContinuousMap.instFunLike", "DFunLike.coe", "rfl", "ContinuousMap.restrict", "Set" ]
true
Int64.ofIntLE_le_iff_le
Init.Data.SInt.Lemmas
[ "Int64.toInt", "congrArg", "Int64.maxValue", "Int64", "Int", "LE.le", "_private.Init.Data.SInt.Lemmas.0.Int64.ofIntLE_le_iff_le._simp_1_1", "iff_self", "Int64.ofIntLE", "Iff", "Int64.minValue", "Int64.toInt_ofIntLE", "congr", "True", "of_eq_true", "congrFun'", "instLEInt64", "Int.i...
true
EMetric.isUniformEmbedding_iff'
Mathlib.Topology.EMetricSpace.Basic
[ "UniformContinuous", "Eq.mpr", "PseudoEMetricSpace.toWeakPseudoEMetricSpace", "Preorder.toLT", "congrArg", "IsUniformEmbedding", "Iff.rfl", "EMetric.uniformContinuous_iff", "PartialOrder.toPreorder", "Exists", "id", "EMetricSpace.toPseudoEMetricSpace", "PseudoEMetricSpace", "EMetricSpace",...
true
_private.Mathlib.Analysis.Convex.Radon.0.Convex.helly_theorem_set_compact._simp_1_2
Mathlib.Analysis.Convex.Radon
[ "ENat.instNatCast", "instAddENat", "Nat.cast", "instHAdd", "HAdd.hAdd", "Nat", "ENat", "instAddNat", "Eq.symm", "Eq", "ENat.coe_add" ]
false
nnnorm_fderiv_norm_rpow_le
Mathlib.Analysis.InnerProductSpace.NormPow
[ "Differentiable", "Norm.norm", "InnerProductSpace.toNormedSpace", "NormedCommRing.toSeminormedCommRing", "Real.instPow", "Real", "Preorder.toLT", "Semiring.toModule", "HMul.hMul", "NormedSpace", "Real.denselyNormedField", "Real.instRCLike", "AddCommGroup.toAddCommMonoid", "SeminormedAddGro...
true
Lean.Meta.Grind.AttrKind.ext.elim
Lean.Meta.Tactic.Grind.Attr
[ "PULift.up", "Lean.Meta.Grind.AttrKind.ctorElim", "Lean.Meta.Grind.AttrKind", "Lean.Meta.Grind.AttrKind.ctorIdx", "Nat", "Lean.Meta.Grind.AttrKind.ext", "Eq.symm", "Eq" ]
false
LinearEquiv.snd_comp_prodComm
Mathlib.LinearAlgebra.Prod
[ "LinearMap.fst", "LinearMap.inl", "LinearMap.ext", "LinearMap.snd", "AddMonoid.toAddZeroClass", "AddZeroClass.toAddZero", "LinearMap", "AddCommMonoid", "LinearEquiv.prodComm", "AddZero.toZero", "LinearMap.comp", "LinearEquiv.toLinearMap", "RingHomInvPair.ids", "eq_self", "of_eq_true", ...
true
FiniteIndexNormalAddSubgroup.mk.sizeOf_spec
Mathlib.GroupTheory.FiniteIndexNormalSubgroup
[ "AddSubgroup.FiniteIndex", "instSizeOfDefault", "FiniteIndexNormalAddSubgroup.mk", "FiniteIndexNormalAddSubgroup", "instOfNatNat", "autoParam", "FiniteIndexNormalAddSubgroup.isNormal'._autoParam", "AddSubgroup", "AddSubgroup.Normal", "instHAdd", "AddGroup", "HAdd.hAdd", "Nat", "SizeOf.size...
true
IsPrimitiveRoot.prod_one_sub_pow_eq_order
Mathlib.RingTheory.RootsOfUnity.Lemmas
[ "one_pow", "NonUnitalNonAssocCommRing.toNonUnitalNonAssocCommSemiring", "Polynomial.C", "Polynomial.eval", "NonAssocSemiring.toAddCommMonoidWithOne", "X_pow_sub_C_eq_prod", "RingHom.instRingHomClass", "Finset.prod_range_succ'", "IsDomain", "MulOne.toOne", "Polynomial.eval_prod", "Polynomial.in...
true
Lean.AssocList.empty
Lean.Data.AssocList
[ "Lean.AssocList.nil", "Lean.AssocList" ]
true
Lean.Doc.Data.ModuleName._sizeOf_1
Lean.Elab.DocString.Builtin
[ "Lean.Doc.Data.ModuleName.rec", "instOfNatNat", "instHAdd", "HAdd.hAdd", "Lean.instSizeOfName", "Lean.Doc.Data.ModuleName", "Nat", "SizeOf.sizeOf", "instAddNat", "Lean.Name", "OfNat.ofNat" ]
false
ZMod.natCast_val
Mathlib.Data.ZMod.Basic
[ "Nat.instMulZeroClass", "ZMod.cast", "AddGroupWithOne.toAddMonoidWithOne", "Function.comp", "AddMonoidWithOne.toNatCast", "ZMod.natCast_comp_val", "Nat.cast", "ZMod", "Nat", "congr_fun", "NeZero", "Eq", "Ring", "Ring.toAddGroupWithOne", "MulZeroClass.toZero", "ZMod.val" ]
true
FirstOrder.Language.BoundedFormula.toPrenex.eq_5
Mathlib.ModelTheory.Complexity
[ "instOfNatNat", "instHAdd", "HAdd.hAdd", "FirstOrder.Language.BoundedFormula.toPrenex", "Nat", "instAddNat", "Eq.refl", "FirstOrder.Language", "FirstOrder.Language.BoundedFormula", "OfNat.ofNat", "FirstOrder.Language.BoundedFormula.all", "Eq" ]
true
Algebra.TensorProduct.prodRight._proof_3
Mathlib.RingTheory.TensorProduct.Pi
[ "CommSemiring.toSemiring", "RingHomInvPair", "CommSemiring", "RingHomInvPair.ids", "RingHom.id", "Semiring.toNonAssocSemiring" ]
false
String.Slice.Pattern.ToForwardSearcher.DefaultForwardSearcher.mk._flat_ctor
Init.Data.String.Pattern.Basic
[ "String.Slice", "String.Slice.Pattern.ToForwardSearcher.DefaultForwardSearcher", "String.Slice.Pattern.ToForwardSearcher.DefaultForwardSearcher.mk", "String.Slice.Pos" ]
false
Std.DTreeMap.Raw.Const.get.congr_simp
Std.Data.DTreeMap.Raw.Lemmas
[ "Std.DTreeMap.Raw.instMembership", "Membership.mem", "Ordering", "Eq.rec", "Eq.ndrec", "Eq.refl", "Std.DTreeMap.Raw.Const.get", "Eq", "Std.DTreeMap.Raw" ]
true
Matrix.fromBlocks_mul_fromRows
Mathlib.Data.Matrix.ColumnRowPartitioned
[ "Matrix.fromBlocks", "instFintypeSum", "Matrix.add", "HMul.hMul", "Finset.univ", "congrArg", "Matrix", "Finset", "Matrix.instHMulOfFintypeOfMulOfAddCommMonoid", "AddMonoid.toAddZeroClass", "Fintype.sum_sum_type", "Membership.mem", "AddZeroClass.toAddZero", "Sum.casesOn", "Sum", "Distri...
true
Fin.contractNth_apply_of_gt
Mathlib.Data.Fin.Tuple.Basic
[ "Eq.mpr", "Preorder.toLT", "Fin.succ", "congrArg", "id", "Fin.contractNth.eq_1", "Ne.symm", "instOfNatNat", "Fin.val", "instHAdd", "HAdd.hAdd", "Nat.instPreorder", "Nat", "LT.lt", "not_lt_of_gt", "Nat.decLt", "instAddNat", "Eq.refl", "instDecidableEqNat", "instLTNat", "Fin.ca...
true
Lean.Elab.Tactic.mkSimpContext
Lean.Elab.Tactic.Simp
[ "Pure.pure", "Lean.MonadError.mk", "Unit.unit", "Lean.instMonadExceptOfExceptionCoreM", "Lean.Meta.Simp.SimprocEntry", "Lean.Elab.Term.instMonadMacroAdapterTermElabM", "Lean.Elab.Tactic.ElabSimpArgsResult.simpArgs", "Lean.Meta.SimpCongrTheorems", "Bool.not", "Lean.Meta.getSimpCongrTheorems", "Le...
true
NonarchAddGroupSeminorm.instSemilatticeSup._proof_1
Mathlib.Analysis.Normed.Group.Seminorm
[ "Real", "Real.instSemilatticeSup", "NonarchAddGroupSeminorm.funLike", "Iff.rfl", "PartialOrder.toPreorder", "NonarchAddGroupSeminorm", "Preorder.toLE", "LE.le", "Pi.instSemilatticeSup", "AddGroup", "Iff", "SemilatticeSup.toPartialOrder", "DFunLike.coe" ]
false
ProbabilityTheory.condIndep_iSup_of_antitone
Mathlib.Probability.Independence.Conditional
[ "StandardBorelSpace", "MeasureTheory.Measure", "MeasurableSpace.instLE", "iSup", "MeasurableSpace.instPartialOrder", "PartialOrder.toPreorder", "MeasureTheory.Measure.trim", "SemilatticeInf.toPartialOrder", "CompleteLattice.toConditionallyCompleteLattice", "LE.le", "ProbabilityTheory.CondIndep",...
true
Function.Injective.preimage_pullbackDiagonal._proof_1
Mathlib.Data.Set.Prod
[ "Function.comp", "id", "Eq.refl", "Eq" ]
false
_private.Lean.Elab.PreDefinition.TerminationHint.0.Lean.Elab.TerminationHints.ensureNone._sparseCasesOn_3
Lean.Elab.PreDefinition.TerminationHint
[ "Nat.ne_of_beq_eq_false", "Option.ctorIdx", "Nat.shiftRight", "Option.some", "Nat.hasNotBit", "Option.rec", "instOfNatNat", "Nat.land", "Option.none", "Nat", "Bool", "Eq.refl", "OfNat.ofNat", "Bool.false", "Option" ]
false
_private.Mathlib.Topology.Algebra.Group.SubmonoidClosure.0.mapClusterPt_self_zpow_atTop_pow._simp_1_1
Mathlib.Topology.Algebra.Group.SubmonoidClosure
[ "HMul.hMul", "DivInvOneMonoid.toInvOneClass", "Monoid.toMulOneClass", "HSub.hSub", "DivInvMonoid.toZPow", "Group", "Group.toDivisionMonoid", "DivisionMonoid.toDivInvOneMonoid", "MulOne.toMul", "DivInvMonoid.toMonoid", "Int", "Group.toDivInvMonoid", "MulOneClass.toMulOne", "instHSub", "In...
false
CategoryTheory.InjectiveResolution.extMk.congr_simp
Mathlib.CategoryTheory.Abelian.Injective.Ext
[ "CategoryTheory.Abelian.toPreadditive", "Nat.instOne", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "AddRightCancelSemigroup.toAddSemigroup", "AddCancelMonoid.toAddRightCancelMonoid", "CategoryTheory.Abelian", "Eq.rec", "Nat.instAddCancelCommMonoid", "instOfNatNat", "CategoryTheory.Li...
true
eq_zero_of_zero_eq_one
Mathlib.Algebra.GroupWithZero.Basic
[ "Eq.mpr", "MulOne.toOne", "HMul.hMul", "MulZeroClass.toMul", "congrArg", "id", "MulOne.toMul", "MulZeroOneClass", "MulZeroClass.mul_zero", "MulZeroOneClass.toMulOneClass", "MulOneClass.toMulOne", "One.toOfNat1", "Zero.toOfNat0", "Eq.refl", "MulZeroOneClass.toMulZeroClass", "mul_one", ...
true
_private.Mathlib.Analysis.CStarAlgebra.ContinuousFunctionalCalculus.NonUnital.0._auto_696
Mathlib.Analysis.CStarAlgebra.ContinuousFunctionalCalculus.NonUnital
[ "Lean.Syntax.node", "Array.push", "Lean.Syntax", "Array.empty", "Lean.SourceInfo.none", "Lean.Name.mkStr1", "Lean.Name.mkStr4", "Lean.mkAtom" ]
false
_private.Mathlib.Topology.Separation.Basic.0.t1Space_TFAE._simp_1_5
Mathlib.Topology.Separation.Basic
[ "Set.subset_compl_singleton_iff", "Compl.compl", "Membership.mem", "Set.instSingletonSet", "HasSubset.Subset", "Set.instCompl", "propext", "Singleton.singleton", "Eq.symm", "Eq", "Set.instMembership", "Not", "Set.instHasSubset", "Set" ]
false
_private.Mathlib.CategoryTheory.Comma.Over.Basic.0.CategoryTheory.Under.isLeftAdjoint_post.match_1
Mathlib.CategoryTheory.Comma.Over.Basic
[ "CategoryTheory.Functor", "Exists", "Nonempty.intro", "CategoryTheory.Functor.IsLeftAdjoint", "Exists.casesOn", "Nonempty.casesOn", "Exists.intro", "CategoryTheory.Functor.IsLeftAdjoint.mk", "Nonempty", "CategoryTheory.Adjunction", "CategoryTheory.Functor.IsLeftAdjoint.casesOn", "CategoryTheor...
false
FirstOrder.Language.ElementarySubstructure.subtype_injective
Mathlib.ModelTheory.ElementarySubstructures
[ "FirstOrder.Language.ElementarySubstructure.subtype", "Membership.mem", "Subtype", "FirstOrder.Language.ElementarySubstructure.instSetLike", "Subtype.coe_injective", "FirstOrder.Language.Structure", "FirstOrder.Language.ElementaryEmbedding.instFunLike", "FirstOrder.Language.ElementarySubstructure", ...
true
List.nil_eq
Init.Data.List.Lemmas
[ "False", "congrArg", "False.elim", "noConfusion_of_Nat", "List.cons", "iff_self", "List", "Iff", "congr", "True", "List.casesOn", "eq_self", "of_eq_true", "Eq.ndrec", "Eq.refl", "Eq.symm", "eq_false'", "Eq", "List.ctorIdx", "Eq.trans", "List.nil" ]
true
Std.PRange.UpwardEnumerable.Map.mk.noConfusion
Init.Data.Range.Polymorphic.Map
[ "Std.PRange.UpwardEnumerable.Map.mk", "Std.PRange.UpwardEnumerable", "HEq.refl", "id", "Std.PRange.UpwardEnumerable.succ?", "Option.map", "heq_of_eq", "Std.PRange.UpwardEnumerable.succMany?", "Nat", "Eq.refl", "HEq", "Function.Injective", "Std.PRange.UpwardEnumerable.Map.noConfusion", "Std...
false
_private.Mathlib.NumberTheory.Modular.0.ModularGroup.eq_one_or_neg_one_of_mem_fdo_mem_fd._simp_1_2
Mathlib.NumberTheory.Modular
[ "Real", "UpperHalfPlane.coe", "Complex.re", "UpperHalfPlane", "UpperHalfPlane.coe_re", "Eq.symm", "Eq", "UpperHalfPlane.re" ]
false
Std.DTreeMap.isEmpty_eq_size_eq_zero
Std.Data.DTreeMap.Lemmas
[ "Std.DTreeMap", "Std.DTreeMap.isEmpty", "Ord.mk", "Ordering", "Std.DTreeMap.inner", "instOfNatNat", "instBEqOfDecidableEq", "Std.DTreeMap.size", "BEq.beq", "Nat", "Std.DTreeMap.wf", "Bool", "Std.DTreeMap.Internal.Impl.isEmpty_eq_size_eq_zero", "instDecidableEqNat", "OfNat.ofNat", "Eq" ...
true
LinearMap.smulRightₗ._proof_3
Mathlib.Algebra.Module.LinearMap.End
[ "LinearMap.smulRightₗ._proof_1", "Semiring.toModule", "LinearMap.ext", "CommSemiring.toSemiring", "LinearMap.instFunLike", "LinearMap.module", "LinearMap", "IsScalarTower.left", "smulCommClass_self", "AddCommMonoid", "CommSemiring", "NonUnitalNonAssocSemiring.toAddCommMonoid", "instHAdd", ...
false
MonoidAlgebra.ringHom_ext'_iff
Mathlib.Algebra.MonoidAlgebra.Defs
[ "RingHom.instRingHomClass", "MonoidHom", "HEq.refl", "RingHom", "Eq.casesOn", "MonoidHomClass.toMonoidHom", "RingHomClass.toMonoidWithZeroHomClass", "MonoidHom.comp", "NonAssocSemiring.toMulZeroOneClass", "MonoidWithZeroHomClass.toMonoidHomClass", "MonoidAlgebra.nonAssocSemiring", "MulZeroOneC...
true
smoothSheafCommRing.forgetStalk_hom_comp_evalHom
Mathlib.Geometry.Manifold.Sheaf.Smooth
[ "CategoryTheory.Limits.Types.hasColimitsOfSize", "Eq.mpr", "CommRing", "CommRingCat.Hom.hom", "CommRingCat.carrier", "NormedSpace", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "instTopENat", "congrArg", "CommSemiring.toSemiring", "CategoryTheory.ConcreteCategory.hom", "CommRingCa...
true
NonUnitalSubsemiring.mem_sInf
Mathlib.RingTheory.NonUnitalSubsemiring.Basic
[ "Set.mem_iInter₂", "Membership.mem", "Iff", "SetLike.coe", "NonUnitalSubsemiring.instSetLike", "NonUnitalSubsemiring", "NonUnitalSubsemiring.instInfSet", "NonUnitalNonAssocSemiring", "Set.instMembership", "SetLike.instMembership", "InfSet.sInf", "Set" ]
true
List.partition.loop.eq_1
Init.Data.List.Lemmas
[ "Prod.mk", "List", "List.reverse", "Bool", "Eq.refl", "Prod", "List.partition.loop", "Eq", "List.nil" ]
true
_private.Mathlib.RingTheory.Ideal.Norm.AbsNorm.0.Ideal.mul_add_mem_pow_succ_inj._simp_1_1
Mathlib.RingTheory.Ideal.Norm.AbsNorm
[ "NonUnitalNonAssocRing", "HMul.hMul", "mul_sub", "NonUnitalNonAssocRing.toAddCommGroup", "HSub.hSub", "AddCommGroup.toAddGroup", "NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring", "SubNegMonoid.toSub", "instHSub", "AddGroup.toSubNegMonoid", "Distrib.toMul", "NonUnitalNonAssocSemiring.toDistr...
false
CategoryTheory.MonoidalCategory.DayConvolutionUnit.leftUnitor_inv_app_assoc
Mathlib.CategoryTheory.Monoidal.DayConvolution
[ "CategoryTheory.MonoidalCategory.DayConvolution.convolution", "CategoryTheory.Category.assoc", "CategoryTheory.Functor", "CategoryTheory.MonoidalCategory.DayConvolution", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "congrArg", "CategoryTheory.MonoidalCategory.DayConvolutionUnit.can", "Ca...
true
TensorAlgebra.ofDirectSum_toDirectSum
Mathlib.LinearAlgebra.TensorAlgebra.ToTensorPower
[ "PiTensorProduct.instModule", "CommSemiring.toSemiring", "AlgHom", "AlgHom.funLike", "TensorAlgebra.toDirectSum", "AlgHom.id", "Nat.instAddMonoid", "Algebra.id", "TensorPower.galgebra", "TensorAlgebra", "PiTensorProduct.instAddCommMonoid", "TensorAlgebra.ofDirectSum", "instSemiringTensorAlge...
true
SubringClass.toSeminormedRing
Mathlib.Analysis.Normed.Ring.Basic
[ "SetLike", "SubringClass.toSeminormedRing._proof_1", "Ring.toNonAssocRing", "SeminormedRing.toRing", "SubringClass.toSeminormedRing._proof_2", "Membership.mem", "AddSubgroupClass.seminormedAddCommGroup", "SeminormedRing.mk", "Subtype", "SubringClass.toSeminormedRing._proof_3", "SeminormedAddComm...
true
_private.Lean.MonadEnv.0.Lean.matchConstCtor._sparseCasesOn_1
Lean.MonadEnv
[ "Lean.ConstantInfo.recInfo", "Lean.ConstantInfo.defnInfo", "Lean.ConstructorVal", "Nat.ne_of_beq_eq_false", "Lean.QuotVal", "Lean.ConstantInfo.inductInfo", "Lean.ConstantInfo.opaqueInfo", "Nat.shiftRight", "Lean.ConstantInfo.thmInfo", "Nat.hasNotBit", "Lean.ConstantInfo.rec", "instOfNatNat", ...
false
IsCompact.isLUB_sSup
Mathlib.Topology.Order.Compact
[ "ClosedIciTopology", "PartialOrder.toPreorder", "Preorder.toLE", "SemilatticeInf.toPartialOrder", "ConditionallyCompleteLinearOrder.toConditionallyCompleteLattice", "TopologicalSpace", "IsCompact.isGLB_sInf", "Set.Nonempty", "OrderDual.instTopologicalSpace", "IsLUB", "ConditionallyCompletePartia...
true
_private.Mathlib.Data.Ordmap.Invariants.0.Ordnode.rotateR.match_1.eq_2
Mathlib.Data.Ordmap.Invariants
[ "Ordnode", "Ordnode.rotateR.match_1", "Ordnode.node", "Nat", "Ordnode.nil", "Eq.refl", "Eq" ]
true
Function.LeftInverse.isClosed_range
Mathlib.Topology.Separation.Hausdorff
[ "Function.LeftInverse", "Continuous", "Set.RightInvOn.eqOn", "Continuous.comp", "Function.comp", "Membership.mem", "Set.EqOn.closure", "id", "Set.EqOn", "IsClosed", "TopologicalSpace", "continuous_id", "closure", "T2Space", "Exists.intro", "Set.range", "Function.LeftInverse.rightInvO...
true
_private.Lean.DocString.Markdown.0.Lean.Doc.quoteCodeBlock
Lean.DocString.Markdown
[ "Pure.pure", "String.endsWith", "instDecidableNot", "String.Pos.next", "Monad.toApplicative", "String", "String.push", "String.pushn", "Lean.instForInLoopUnitOfMonad", "ForInStep.done", "instDecidableEqBool", "Prod.mk", "String.startPos", "ForIn.forIn", "instOfNatNat", "Lean.Loop", "...
true
CategoryTheory.Limits.MulticospanIndex.multiforkEquivPiForkOfIsLimit._proof_7
Mathlib.CategoryTheory.Limits.Shapes.Multiequalizer
[ "CategoryTheory.Limits.MulticospanShape.L", "CategoryTheory.Limits.MulticospanIndex.sndPiMapOfIsLimit", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "CategoryTheory.Limits.WalkingParallelPair", "congrArg", "CategoryTheory.Limits.MulticospanIndex.toPiForkFunctor", "CategoryTheory.Limits.Walk...
false
Fin.find
Mathlib.Data.Fin.Tuple.Basic
[ "Exists", "_private.Mathlib.Data.Fin.Tuple.Basic.0.Fin.findX", "And", "DecidablePred", "Nat", "LT.lt", "instLTFin", "Fin", "Subtype.val", "Not" ]
true
Lean.Order.fix_eq
Init.Internal.Order.Basic
[ "Lean.Order.fix", "Lean.Order.CCPO.toPartialOrder", "Lean.Order.rel_f_of_iterates", "Lean.Order.iterates.sup", "Lean.Order.iterates", "Lean.Order.le_csup", "Lean.Order.monotone", "Lean.Order.chain_iterates", "Lean.Order.CCPO", "Eq", "Lean.Order.iterates.step", "Lean.Order.PartialOrder.rel_anti...
true
Rat.isNat_intFract_of_isNat
Mathlib.Data.Rat.Floor
[ "Mathlib.Meta.NormNum.IsNat", "congrArg", "HEq.refl", "Int.fract", "LinearOrder", "AddMonoid.toAddZeroClass", "AddGroupWithOne.toAddMonoidWithOne", "IsStrictOrderedRing", "Mathlib.Meta.NormNum.IsNat.mk", "Int.fract_natCast", "SemilatticeInf.toPartialOrder", "AddZeroClass.toAddZero", "Distrib...
true
Std.DTreeMap.Internal.Impl.Const.minEntry._unary.eq_def
Std.Data.DTreeMap.Internal.Queries
[ "Eq.mpr", "congrArg", "_private.Std.Data.DTreeMap.Internal.Queries.0.Std.DTreeMap.Internal.Impl.Const.minEntry.match_1._arg_pusher", "invImage", "instSizeOfDefault", "Std.DTreeMap.Internal.Impl.Const.minEntry._unary", "namedPattern", "Std.DTreeMap.Internal.Impl.inner", "PSigma.casesOn", "id", "P...
false
CochainComplex.cm5b.i.eq_1
Mathlib.Algebra.Homology.Factorizations.CM5b
[ "CategoryTheory.Abelian.toPreadditive", "HomologicalComplex.instCategory", "CochainComplex.cm5b.i._proof_4", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "AddGroupWithOne.toAddMonoidWithOne", "AddRightCancelSemigroup.toAddSemigroup", "AddCancelMonoid.toAddRightCancelMonoid", "CategoryTheo...
true
DirectSum.GradeZero.commRing._proof_1
Mathlib.Algebra.DirectSum.Ring
[ "AddCommGroup.toAddCommMonoid", "DFinsupp.single", "AddMonoid.toAddZeroClass", "AddZeroClass.toAddZero", "DFinsupp.single_injective", "AddCommGroup", "AddCommMonoid", "AddZero.toZero", "Zero.toOfNat0", "DFinsupp", "AddCommMonoid.toAddMonoid", "Function.Injective", "OfNat.ofNat", "Decidable...
false
Finset.«_aux_Mathlib_Data_Finset_Slice___macroRules_Finset_term_#__1»
Mathlib.Data.Finset.Slice
[ "Pure.pure", "Lean.TSyntax", "Lean.MonadRef.mkInfoFromRefPos", "Lean.Syntax.ident", "instMonadExceptOfMonadExceptOf", "String", "Lean.SourceInfo", "MonadExcept.throw", "Lean.Syntax.isOfKind", "EStateM.instMonad", "Lean.Macro.Exception", "Lean.TSyntax.mk", "Lean.Syntax", "ReaderT.instMonad"...
false
Perfection.liftMonoidHom._proof_2
Mathlib.RingTheory.Perfection
[ "PerfectRing", "Nat.instMonoid", "instOfNatNat", "Monoid.toPow", "instHAdd", "HPow.hPow", "HAdd.hAdd", "CommMonoid.toMonoid", "Nat", "instAddNat", "instHPow", "OfNat.ofNat", "CommMonoid", "PerfectRing.pow" ]
false
CategoryTheory.StrongEpiCategory
Mathlib.CategoryTheory.Limits.Shapes.StrongEpi
[ "CategoryTheory.StrongEpiCategory.mk", "CategoryTheory.Category" ]
true
uzpow_zero
Mathlib.Data.ZMod.IntUnitsPower
[ "Int.instCommMonoid", "Equiv.instEquivLike", "CommSemiring.toSemiring", "Additive", "Module.toMulActionWithZero", "Units", "Equiv", "Additive.ofMul", "Int", "Int.instUnitsPow", "Units.instOne", "Int.instMonoid", "CommSemiring", "zero_smul", "Additive.addCommMonoid", "HPow.hPow", "One...
true
CategoryTheory.ShortComplex.LeftHomologyData.noConfusionType
Mathlib.Algebra.Homology.ShortComplex.LeftHomology
[ "CategoryTheory.Limits.HasZeroMorphisms", "CategoryTheory.ShortComplex.LeftHomologyData", "CategoryTheory.Limits.KernelFork.ofι", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "CategoryTheory.Limits.WalkingParallelPair", "CategoryTheory.ShortComplex", "CategoryTheory.ShortComplex.X₁", "Cat...
false
Lean.PrettyPrinter.OneLine.State.mk
Lean.PrettyPrinter.Formatter
[ "Lean.PrettyPrinter.OneLine.State", "List", "Nat", "Std.Format", "Prod", "Lean.PrettyPrinter.OneLine.State.mk" ]
true
_private.Mathlib.CategoryTheory.Bicategory.Grothendieck.0.CategoryTheory.Pseudofunctor.Grothendieck.category._simp_2
Mathlib.CategoryTheory.Bicategory.Grothendieck
[ "CategoryTheory.Cat.Hom₂.comp_app", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "CategoryTheory.Cat.str", "CategoryTheory.Cat.instQuiver", "CategoryTheory.Cat.Hom.instQuiver", "CategoryTheory.Cat", "CategoryTheory.Bundled.α", "CategoryTheory.CategoryStruct.comp", "CategoryTheory.Catego...
false
MeasureTheory.Measure.instSMulCommClass
Mathlib.MeasureTheory.Measure.MeasureSpace
[ "instHSMul", "MeasureTheory.Measure", "instSMulOfMul", "MeasurableSet", "CommSemiring.toSemiring", "IsScalarTower", "SMul", "MeasureTheory.OuterMeasure", "MeasureTheory.Measure.instSMul", "ENNReal.instCommSemiring", "instDistribOfSemiring", "MeasurableSpace", "MeasureTheory.Measure.toOuterMe...
true
_private.Mathlib.Logic.Equiv.Embedding.0.Equiv.sumEmbeddingEquivProdEmbeddingDisjoint.match_1.eq_2
Mathlib.Logic.Equiv.Embedding
[ "Equiv.sumEmbeddingEquivProdEmbeddingDisjoint.match_1", "Sum", "Sum.inl", "Sum.inr", "Eq.refl", "Eq" ]
true
MultilinearMap.coe_inj._simp_1
Mathlib.LinearAlgebra.Multilinear.Basic
[ "MultilinearMap.coe_inj", "MultilinearMap", "AddCommMonoid", "MultilinearMap.instFunLikeForall", "propext", "Semiring", "Module", "Eq", "DFunLike.coe" ]
false
ProfiniteGrp.coe_of
Mathlib.Topology.Algebra.Category.ProfiniteGrp.Basic
[ "ProfiniteGrp.of", "Group", "TotallyDisconnectedSpace", "CompactSpace", "TopologicalSpace", "TopCat.str", "TopCat.carrier", "IsTopologicalGroup", "ProfiniteGrp.toProfinite", "TopCat", "CompHausLike.toTop", "Eq", "rfl" ]
true
IO.FS.Mode.writeNew
Init.System.IO
[ "IO.FS.Mode", "IO.FS.Mode.writeNew" ]
true
Fin.rev_predAbove
Mathlib.Data.Fin.Rev
[ "Eq.mpr", "congrArg", "id", "instOfNatNat", "Fin.predAbove", "instHAdd", "Fin.predAbove_rev_left", "Fin.rev", "HAdd.hAdd", "Nat", "instAddNat", "Eq.refl", "Fin.rev_rev", "OfNat.ofNat", "Fin", "Eq" ]
true
Std.DTreeMap.Internal.Impl.maxEntry
Std.Data.DTreeMap.Internal.Queries
[ "Std.DTreeMap.Internal.Impl.maxEntry._unary", "Std.DTreeMap.Internal.Impl.isEmpty", "PSigma.mk", "Bool", "Bool.false", "Eq", "Std.DTreeMap.Internal.Impl", "Sigma" ]
true
IsIntegral.isAlmostIntegral_of_exists_smul_mem_range
Mathlib.RingTheory.IntegralClosure.IsIntegral.AlmostIntegral
[ "AddGroup.toSubtractionMonoid", "Eq.mpr", "Finset.mul_sum", "NegZeroClass.toNeg", "NonAssocSemiring.toAddCommMonoidWithOne", "MulOne.toOne", "Semigroup.toMul", "CommRing", "Algebra.to_smulCommClass", "minpoly.monic", "instHSMul", "Preorder.toLT", "NonUnitalCommRing.toNonUnitalNonAssocCommRin...
true
CategoryTheory.IsGrothendieckAbelian.wellPowered
Mathlib.CategoryTheory.Abelian.GrothendieckCategory.Basic
[ "CategoryTheory.Abelian.toPreadditive", "CategoryTheory.IsGrothendieckAbelian.locallySmall", "CategoryTheory.ShrinkHoms.isGrothendieckAbelian", "CategoryTheory.ShrinkHoms.hasFiniteLimits", "CategoryTheory.Abelian", "CategoryTheory.ShrinkHoms.preadditive", "CategoryTheory.balanced_of_strongMonoCategory",...
true
CochainComplex.HomComplex.Cochain.leftShiftAddEquiv_symm_apply
Mathlib.Algebra.Homology.HomotopyCategory.HomComplexShift
[ "HomologicalComplex.instCategory", "CochainComplex.HomComplex.instAddCommGroupCochain", "AddCommGroup.toAddCommMonoid", "AddGroupWithOne.toAddMonoidWithOne", "AddRightCancelSemigroup.toAddSemigroup", "CochainComplex.instHasShiftInt", "AddCancelMonoid.toAddRightCancelMonoid", "CategoryTheory.shiftFunct...
true
_private.Mathlib.NumberTheory.NumberField.CanonicalEmbedding.ConvexBody.0.NumberField.mixedEmbedding.convexBodyLT_neg_mem._simp_1_6
Mathlib.NumberTheory.NumberField.CanonicalEmbedding.ConvexBody
[ "Subtype.forall", "Subtype", "Subtype.mk", "propext", "Eq" ]
false
TopologicalSpace.NonemptyCompacts.instEMetricSpace._proof_3
Mathlib.Topology.MetricSpace.Closeds
[ "TopologicalSpace.NonemptyCompacts.instSetLike", "TopologicalSpace.NonemptyCompacts", "TopologicalSpace.NonemptyCompacts.ext", "PseudoEMetricSpace.induced", "PseudoEMetricSpace.hausdorff", "EMetricSpace.toPseudoEMetricSpace", "PseudoEMetricSpace.replaceUniformity", "TopologicalSpace.NonemptyCompacts.u...
false
_private.Init.Data.Vector.MapIdx.0.Vector.mapFinIdx_mapFinIdx._simp_1_1
Init.Data.Vector.MapIdx
[ "Vector", "Vector.instGetElemNatLt", "Vector.mapFinIdx", "Vector.mapFinIdx_eq_iff", "GetElem.getElem", "Nat", "LT.lt", "propext", "instLTNat", "Eq" ]
false
UpperHalfPlane.I_im
Mathlib.Analysis.Complex.UpperHalfPlane.Basic
[ "Real", "Complex.I_im", "Real.instOne", "UpperHalfPlane.im", "One.toOfNat1", "UpperHalfPlane.I", "OfNat.ofNat", "Eq" ]
true
intervalIntegrable_congr
Mathlib.MeasureTheory.Integral.IntervalIntegral.Basic
[ "MeasureTheory.ae", "TopologicalSpace.PseudoMetrizableSpace", "instClosedIicTopology", "Real", "MeasureTheory.ae_restrict_mem", "MeasureTheory.Measure", "Real.lattice", "instHasSolidNormReal", "IntervalIntegrable", "ENormedAddMonoid", "PartialOrder.toPreorder", "Set.uIoc", "PseudoMetricSpace...
true
AddMonoid.fg_iff_addSubmonoid_fg
Mathlib.GroupTheory.Finiteness
[ "AddSubmonoid.subtype", "Eq.mpr", "AddMonoid.FG", "AddSubmonoid.instTop", "AddMonoidHom.instAddMonoidHomClass", "AddSubmonoid.toAddMonoid", "congrArg", "AddSubmonoid.FG.map_injective", "AddMonoid.toAddZeroClass", "Membership.mem", "AddSubmonoid.mrange_subtype", "Eq.rec", "AddZeroClass.toAddZ...
true
IsManifold.instOfTopWithTopENat
Mathlib.Geometry.Manifold.IsManifold.Basic
[ "NormedSpace", "WithTop.instPreorder", "Preorder.toLE", "instPreorderENat", "IsManifold", "TopologicalSpace", "ModelWithCorners", "OrderTop.toTop", "WithTop.top", "le_top", "ENat", "WithTop.instOrderTop", "NontriviallyNormedField", "IsManifold.of_le", "NontriviallyNormedField.toNormedFie...
true