name
stringlengths
2
347
module
stringlengths
6
90
deps
listlengths
0
692
allowCompletion
bool
2 classes
Lean.Lsp.LeanClientCapabilities
Lean.Data.Lsp.Capabilities
[ "Lean.Lsp.LeanClientCapabilities.mk" ]
true
Set.prod_eq_prod_iff_of_nonempty
Mathlib.Data.Set.Prod
[ "Set.instSProd", "Eq.mpr", "SProd.sprod", "congrArg", "Eq.mp", "_private.Mathlib.Data.Set.Prod.0.Set.prod_eq_prod_iff_of_nonempty._proof_1_1", "id", "Set.fst_image_prod", "Set.prod_nonempty_iff", "Prod.fst", "And", "Iff", "Set.Nonempty", "And.right", "And.left", "True", "Iff.intro", ...
true
Std.DTreeMap.Internal.Impl.WF.union
Std.Data.DTreeMap.Internal.WF.Defs
[ "Eq.mpr", "Decidable.casesOn", "Std.DTreeMap.Internal.Impl.SizedBalancedTree.impl", "Ord", "congrArg", "Decidable", "Std.DTreeMap.Internal.Impl.Balanced", "Std.DTreeMap.Internal.Impl.insertManyIfNew", "Std.DTreeMap.Internal.Impl.size", "Std.DTreeMap.Internal.Impl.insertMany", "id", "Std.DTreeM...
true
Polynomial.separable_def
Mathlib.FieldTheory.Separable
[ "Polynomial.derivative", "Semiring.toModule", "CommSemiring.toSemiring", "Iff.rfl", "LinearMap.instFunLike", "LinearMap", "Polynomial", "CommSemiring", "NonUnitalNonAssocSemiring.toAddCommMonoid", "Iff", "NonAssocSemiring.toNonUnitalNonAssocSemiring", "Polynomial.semiring", "Polynomial.modul...
true
One.gOne
Mathlib.Algebra.GradedMonoid
[ "One", "GradedMonoid.GOne.mk", "One.toOfNat1", "OfNat.ofNat", "Zero", "GradedMonoid.GOne" ]
true
MvPolynomial.optionEquivRight._proof_4
Mathlib.Algebra.MvPolynomial.Equiv
[ "Finsupp.instAddZeroClass", "Nat.instMulZeroClass", "AddMonoidAlgebra.semiring", "MvPolynomial.aeval_X", "MvPolynomial.aeval", "MvPolynomial.aevalTower", "congrArg", "CommSemiring.toSemiring", "MvPolynomial.ext", "AlgHom", "AlgHom.funLike", "AddMonoid.toAddZeroClass", "AddMonoidAlgebra.algeb...
false
Lean.AttributeKind
Lean.Attributes
[ "Lean.AttributeKind.local", "Lean.AttributeKind.scoped", "Lean.AttributeKind.global" ]
true
CategoryTheory.CostructuredArrow.ofCommaFstEquivalenceFunctor_obj_right
Mathlib.CategoryTheory.Comma.Over.Basic
[ "CategoryTheory.CostructuredArrow.ofCommaFstEquivalenceFunctor", "CategoryTheory.Over", "CategoryTheory.Functor", "CategoryTheory.Comma.right", "CategoryTheory.Comma.fst", "CategoryTheory.Functor.comp", "CategoryTheory.Over.forget", "CategoryTheory.CostructuredArrow", "CategoryTheory.instCategoryOve...
true
Set.bounded_ge_of_bounded_gt
Mathlib.Order.Bounded
[ "Preorder.toLT", "Set.Bounded", "le_of_lt", "Preorder.toLE", "Membership.mem", "GE.ge", "GT.gt", "Exists.intro", "_private.Mathlib.Order.Bounded.0.Set.bounded_ge_of_bounded_gt.match_1_1", "Set.instMembership", "Preorder", "Set" ]
true
_private.Init.Data.String.Iterator.0.String.Pos.Raw.get?.match_1.splitter
Init.Data.String.Iterator
[ "String", "String.Pos.Raw", "String.Pos.Raw.get?.match_1" ]
true
CategoryTheory.LocalizerMorphism.RightResolution.mk.injEq
Mathlib.CategoryTheory.Localization.Resolution
[ "CategoryTheory.MorphismProperty", "CategoryTheory.LocalizerMorphism.RightResolution", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "Eq.propIntro", "Lean.injEq_helper", "CategoryTheory.LocalizerMorphism.RightResolution.mk.inj", "CategoryTheory.LocalizerMorphism.RightResolution.mk", "Categ...
true
NumberField.abs_discr_gt_two
Mathlib.NumberTheory.NumberField.Discriminant.Basic
[ "Mathlib.Tactic.Ring.Common.mul_pf_left", "IsRightCancelAdd.addRightStrictMono_of_addRightMono", "NormedCommRing.toNormedRing", "Real.instIsOrderedRing", "Int.cast", "Mathlib.Tactic.Ring.Common.neg_zero", "Eq.mpr", "NegZeroClass.toNeg", "NonAssocSemiring.toAddCommMonoidWithOne", "Mathlib.Tactic.Ri...
true
_private.Mathlib.Combinatorics.SimpleGraph.Paths.0.SimpleGraph.Walk.IsPath.tail._simp_1_1
Mathlib.Combinatorics.SimpleGraph.Paths
[ "SimpleGraph.Walk.isPath_def", "SimpleGraph.Walk.support", "SimpleGraph.Walk", "SimpleGraph", "List.Nodup", "propext", "SimpleGraph.Walk.IsPath", "Eq" ]
false
Lean.Meta.LibrarySearch.DeclMod.mpr
Lean.Meta.Tactic.LibrarySearch
[ "Lean.Meta.LibrarySearch.DeclMod.mpr", "Lean.Meta.LibrarySearch.DeclMod" ]
true
Order.Icc_subset_Ioc_pred_left_of_not_isMin
Mathlib.Order.SuccPred.Basic
[ "Eq.mpr", "Set.Ioc", "Set.Ioi", "Set.Ici", "congrArg", "Set.Iic_inter_Ioi", "Preorder.toLE", "id", "Set.instReflSubset", "HasSubset.Subset", "subset_refl", "Set.inter_subset_inter", "Set.instInter", "Inter.inter", "Set.Icc", "Order.Ici_subset_Ioi_pred_of_not_isMin", "Order.pred", "...
true
PiTensorProduct.congr._proof_2
Mathlib.LinearAlgebra.PiTensorProduct
[ "PiTensorProduct.instModule", "LinearMap.id", "LinearEquiv.symm", "PiTensorProduct.map", "congrArg", "CommSemiring.toSemiring", "LinearMap.instFunLike", "RingHomInvPair.triples₂", "LinearEquiv.symm_apply_apply", "PiTensorProduct.instAddCommMonoid", "LinearMap", "MultilinearMap", "PiTensorPro...
false
Lean.Parser.Term.suffices._regBuiltin.Lean.Parser.Term.fromTerm.formatter_7
Lean.Parser.Term
[ "Lean.PrettyPrinter.Formatter", "Lean.Name.mkStr5", "IO", "Unit", "Lean.Parser.Term.fromTerm.formatter", "Lean.PrettyPrinter.formatterAttribute", "Lean.Name.mkStr4", "Lean.KeyedDeclsAttribute.addBuiltin" ]
false
ClassGroup.mulEquiv._proof_1
Mathlib.RingTheory.ClassGroup
[ "IsDomain", "FractionRing.field", "CommRing", "FractionalIdeal.instAdd", "OreLocalization.instAlgebra", "Monoid.toMulOneClass", "CommSemiring.toSemiring", "RingEquiv.instEquivLike", "RingEquiv.instRingEquivClass", "RingEquivClass.toMulEquivClass", "FractionRing", "nonZeroDivisors", "Algebra....
false
Affine.Simplex.instFintypePointsWithCircumcenterIndex.match_5
Mathlib.Geometry.Euclidean.Circumcenter
[ "Unit.unit", "instOfNatNat", "Affine.Simplex.PointsWithCircumcenterIndex.pointIndex", "instHAdd", "Unit", "HAdd.hAdd", "Nat", "instAddNat", "Affine.Simplex.PointsWithCircumcenterIndex", "OfNat.ofNat", "Fin", "Affine.Simplex.PointsWithCircumcenterIndex.circumcenterIndex", "Affine.Simplex.Poin...
false
ProofWidgets.instRpcEncodableExprPresentationData.dec._@.ProofWidgets.Presentation.Expr.2260322628._hygCtx._hyg.1
ProofWidgets.Presentation.Expr
[ "Pure.pure", "ProofWidgets.RpcEncodablePacket.userName._@.ProofWidgets.Presentation.Expr.2260322628._hygCtx._hyg.1", "Lean.Json", "Lean.instFromJsonString", "ProofWidgets.Html", "ProofWidgets.instFromJsonRpcEncodablePacket._@.ProofWidgets.Presentation.Expr.2599984148._hygCtx._hyg.14", "ReaderT", "Mona...
false
LinearEquiv.toLinearEquiv_toContinuousLinearEquiv_symm
Mathlib.Topology.Algebra.Module.FiniteDimension
[ "NormedCommRing.toSeminormedCommRing", "ContinuousLinearEquiv.symm", "LinearEquiv.symm", "CompleteSpace", "ContinuousSMul", "ContinuousLinearEquiv.toLinearEquiv", "DistribMulAction.toDistribSMul", "AddCommGroup.toAddCommMonoid", "AddMonoid.toAddZeroClass", "PseudoMetricSpace.toUniformSpace", "Ad...
true
_private.Mathlib.Geometry.Manifold.VectorBundle.Tangent.0.contMDiffAt_vectorSpace_iff_contDiffAt._simp_1_1
Mathlib.Geometry.Manifold.VectorBundle.Tangent
[ "ContMDiffWithinAt", "NormedSpace", "Set.univ", "TopologicalSpace", "ModelWithCorners", "ENat", "propext", "ContMDiffAt", "contMDiffWithinAt_univ", "NontriviallyNormedField", "NontriviallyNormedField.toNormedField", "Eq.symm", "NormedAddCommGroup.toSeminormedAddCommGroup", "Eq", "NormedA...
false
Lean.Meta.DiagSummary.mk.sizeOf_spec
Lean.Meta.Diagnostics
[ "Lean.MessageData", "instOfNatNat", "Array._sizeOf_inst", "Array", "instHAdd", "HAdd.hAdd", "Nat", "Lean.Meta.DiagSummary._sizeOf_inst", "Lean.Meta.DiagSummary", "SizeOf.sizeOf", "Lean.MessageData._sizeOf_inst", "instAddNat", "Eq.refl", "instSizeOfNat", "OfNat.ofNat", "Eq", "Lean.Met...
true
Stream'.WSeq.bind.eq_1
Mathlib.Data.WSeq.Relation
[ "Stream'.WSeq.join", "Stream'.WSeq.bind", "Stream'.WSeq.map", "Stream'.WSeq", "Eq.refl", "Eq" ]
true
_private.Mathlib.Topology.Spectral.Prespectral.0.PrespectralSpace.exists_isClosed_of_not_isPreirreducible._simp_1_8
Mathlib.Topology.Spectral.Prespectral
[ "Classical.not_not", "propext", "Eq", "Not" ]
false
forall_le_imp_ne_iff_lt
Mathlib.Order.Basic
[ "Preorder.toLT", "LinearOrder", "PartialOrder.toPreorder", "Preorder.toLE", "Ne", "lt_of_forall_le_imp_ne", "LE.le", "Iff", "LT.lt", "Iff.intro", "LE.le.trans_lt", "LinearOrder.toPartialOrder", "LT.lt.ne" ]
true
CategoryTheory.HasSplitEqualizer.rec
Mathlib.CategoryTheory.Limits.Shapes.SplitEqualizer
[ "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "CategoryTheory.IsSplitEqualizer", "Exists", "Nonempty", "CategoryTheory.Category.toCategoryStruct", "CategoryTheory.HasSplitEqualizer", "CategoryTheory.HasSplitEqualizer.mk", "CategoryTheory.Category" ]
false
FourierTransform.fourierInvₗ
Mathlib.Analysis.Fourier.Notation
[ "FourierInvSMul", "DistribMulAction.toDistribSMul", "AddMonoid.toAddZeroClass", "FourierInvAdd", "AddZeroClass.toAddZero", "DistribSMul.toSMulZeroClass", "LinearMap", "AddCommMonoid", "AddZero.toZero", "FourierTransformInv.fourierInv", "LinearMap.mk", "Semiring.toMonoid", "Semiring", "Modu...
true
IsDedekindDomain.FiniteAdeleRing.algebraMap._proof_9
Mathlib.RingTheory.DedekindDomain.FiniteAdeleRing
[ "Int.instAddCommGroup", "IsDedekindDomain.instCommRingFiniteAdeleRing", "NonAssocSemiring.toAddCommMonoidWithOne", "UniformSpace.Completion.coe'", "Multiplicative.linearOrder", "CommRing", "IsDedekindDomain.FiniteAdeleRing", "AddGroupWithOne.toAddGroup", "CommSemiring.toSemiring", "Int.instLinearO...
false
Std.Roo.toArray_succ_succ_eq_map
Init.Data.Range.Polymorphic.Lemmas
[ "Std.PRange.UpwardEnumerable", "congrArg", "Std.PRange.LawfulUpwardEnumerableLT", "List.map", "List.map_toArray", "Std.Roo.toList_succ_succ_eq_map", "Std.PRange.LinearlyUpwardEnumerable", "Array.map", "List.toArray", "Array", "Std.Rxo.IsAlwaysFinite", "List", "Std.PRange.InfinitelyUpwardEnum...
true
LieSubmodule.noConfusionType
Mathlib.Algebra.Lie.Submodule
[ "Submodule", "CommRing", "Submodule.toAddSubmonoid", "CommSemiring.toSemiring", "AddCommGroup.toAddCommMonoid", "AddMonoid.toAddZeroClass", "Bracket.bracket", "LieSubmodule", "AddSubsemigroup.carrier", "Membership.mem", "AddZeroClass.toAddZero", "AddCommGroup", "AddSubmonoid.toAddSubsemigrou...
false
Lean.Elab.InlayHintLinkLocation.noConfusion
Lean.Elab.InfoTree.InlayHints
[ "Lean.Syntax.Range", "Lean.Elab.InlayHintLinkLocation.noConfusionType", "Lean.Elab.InlayHintLinkLocation.casesOn", "Lean.Elab.InlayHintLinkLocation", "Eq.ndrec", "Lean.Name", "Eq.refl", "Eq" ]
false
CategoryTheory.shrinkYonedaMonObjObjEquiv
Mathlib.CategoryTheory.Monoidal.Cartesian.ShrinkYoneda
[ "CategoryTheory.Functor", "Opposite", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "Monoid.toMulOneClass", "CategoryTheory.LocallySmall", "CategoryTheory.Functor.category", "Shrink.mulEquiv", "MulOne.toMul", "MonCat", "CategoryTheory.SemiCartesianMonoidalCategory.toMonoidalCategory", ...
true
CategoryTheory.Limits.HasKernels.rec
Mathlib.CategoryTheory.Limits.Shapes.Kernels
[ "CategoryTheory.Limits.HasZeroMorphisms", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "CategoryTheory.Limits.HasKernel", "CategoryTheory.Limits.HasKernels.mk", "CategoryTheory.Limits.HasKernels", "CategoryTheory.Category.toCategoryStruct", "CategoryTheory.Category" ]
false
AddSubmonoid.nsmulSaturated_iff_nsmul
Mathlib.GroupTheory.Subgroup.Saturated
[ "instHSMul", "Iff.rfl", "AddMonoid.toAddZeroClass", "AddMonoid.toNSMul", "Membership.mem", "AddSubmonoid", "instOfNatNat", "AddSubmonoid.NSMulSaturated", "Iff", "Nat", "AddMonoid", "HSMul.hSMul", "Or", "OfNat.ofNat", "AddSubmonoid.instSetLike", "Eq", "SetLike.instMembership" ]
true
ZMod.commRing._proof_22
Mathlib.Data.ZMod.Defs
[ "AddGroupWithOne.toAddGroup", "Fin.instCommRing", "Add.mk", "Fin.neg", "Fin.instOfNat", "Int.instNegInt", "Add.add", "Int", "ZMod", "instHAdd", "neg_add_cancel", "instOfNat", "HAdd.hAdd", "Nat.instNeZeroSucc", "Nat", "Zero.mk", "Int.instAdd", "Int.instAddGroup", "Zero.toOfNat0", ...
false
CategoryTheory.Pseudofunctor.DescentData.Hom.mk.inj
Mathlib.CategoryTheory.Sites.Descent.DescentData
[ "Opposite", "CategoryTheory.LocallyDiscrete.mk", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "CategoryTheory.CategoryStruct.opposite", "Quiver.Hom.op", "CategoryTheory.locallyDiscreteBicategory", "CategoryTheory.Pseudofunctor.DescentData._proof_8", "CategoryTheory.Pseudofunctor.DescentDa...
true
CategoryTheory.BimonObj
Mathlib.CategoryTheory.Monoidal.Bimon_
[ "CategoryTheory.MonoidalCategory", "CategoryTheory.BraidedCategory", "CategoryTheory.BimonObj.mk", "CategoryTheory.Category" ]
true
Stream'.Seq.nil.eq_1
Mathlib.Data.Seq.Basic
[ "Stream'.Seq", "Stream'.Seq.nil", "Subtype.mk", "Stream'", "Option.none", "Stream'.Seq.nil._proof_1", "Stream'.IsSeq", "Stream'.const", "Eq.refl", "Eq", "Option" ]
true
Mathlib.Meta.FunProp.Mor.app
Mathlib.Tactic.FunProp.Mor
[ "_private.Mathlib.Tactic.FunProp.Mor.0.Mathlib.Meta.FunProp.Mor.app.match_1", "Lean.Expr", "Mathlib.Meta.FunProp.Mor.Arg", "Unit", "Lean.Expr.app", "Mathlib.Meta.FunProp.Mor.Arg.coe", "Mathlib.Meta.FunProp.Mor.Arg.expr", "Option" ]
true
_private.Init.Data.Array.Lemmas.0.Array.shrink.loop.eq_def
Init.Data.Array.Lemmas
[ "Eq.mpr", "congrArg", "_private.Init.Data.Array.Basic.0.Array.shrink.loop", "Nat.brecOn.go", "Nat.rec", "Nat.brecOn", "Nat.brecOn.eq", "id", "instOfNatNat", "_private.Init.Data.Array.Basic.0.Array.shrink.match_1", "Array.pop", "Array", "Nat.below", "_private.Init.Data.Array.Basic.0.Array.s...
true
_private.Lean.Elab.Deriving.DecEq.0.Lean.Elab.Deriving.DecEq.mkDecEqCmds
Lean.Elab.Deriving.DecEq
[ "Pure.pure", "Lean.Core.instMonadTraceCoreM", "Lean.TSyntax", "Lean.MessageData", "Array.instAppend", "Lean.Elab.Term.instMonadMacroAdapterTermElabM", "Lean.Elab.Deriving.Context", "_private.Lean.Elab.Deriving.DecEq.0.Lean.Elab.Deriving.DecEq.mkAuxFunctions", "Lean.Elab.Term.instMonadTermElabM", "...
true
Std.TreeMap.getElem!_emptyc
Std.Data.TreeMap.Lemmas
[ "Inhabited.default", "Std.DTreeMap.Const.get!_emptyc", "Membership.mem", "Ordering", "Std.TransCmp", "Std.TreeMap.instMembership", "Std.TreeMap.instGetElem?Mem", "Inhabited", "Std.TreeMap.instEmptyCollection", "EmptyCollection.emptyCollection", "Eq", "GetElem?.getElem!", "Std.TreeMap" ]
true
_private.Std.Data.DHashMap.RawLemmas.0.Std.DHashMap.Raw.getKeyD_modify_self._simp_1_1
Std.Data.DHashMap.RawLemmas
[ "Std.DHashMap.Raw.instMembershipOfBEqOfHashable", "Std.DHashMap.Raw.mem_iff_contains", "Std.DHashMap.Raw", "Membership.mem", "Std.DHashMap.Raw.contains", "Bool.true", "propext", "Bool", "Hashable", "BEq", "Eq" ]
false
Vector.pop_append_of_size_ne_zero._proof_2
Init.Data.Vector.Lemmas
[ "HSub.hSub", "instSubNat", "Ne", "instOfNatNat", "instHAdd", "_private.Init.Data.Vector.Lemmas.0.Vector.pop_append_of_size_ne_zero._proof_1", "instHSub", "HAdd.hAdd", "Nat", "Decidable.byContradiction", "instAddNat", "instDecidableEqNat", "OfNat.ofNat", "Eq", "Not" ]
false
_private.Mathlib.Tactic.FunProp.Core.0.Mathlib.Meta.FunProp.removeArgRule._proof_3
Mathlib.Tactic.FunProp.Core
[ "False", "Lean.Omega.Constraint.not_sat'_of_isImpossible", "of_decide_eq_true", "le_of_le_of_eq", "Lean.Omega.Constraint.mk", "HSub.hSub", "Mathlib.Meta.FunProp.FunctionData", "Lean.Omega.Int.add_congr", "Lean.Omega.LinearCombo.eval", "Option.some", "Lean.Omega.combo_sat'", "id", "instDecida...
false
_private.Mathlib.RingTheory.Polynomial.GaussNorm.0.Polynomial.sup'_nonneg_of_ne_zero._simp_1_1
Mathlib.RingTheory.Polynomial.GaussNorm
[ "Finset.le_sup'_iff", "Lattice.toSemilatticeSup", "Finset", "LinearOrder", "PartialOrder.toPreorder", "Preorder.toLE", "Membership.mem", "Exists", "SemilatticeInf.toPartialOrder", "DistribLattice.toLattice", "LE.le", "And", "Finset.instSetLike", "propext", "Finset.Nonempty", "Finset.su...
false
Std.ExtDTreeMap.getKey!_eq_of_mem
Std.Data.ExtDTreeMap.Lemmas
[ "Std.ExtDTreeMap.mk", "Std.DTreeMap", "Membership.mem", "Ordering", "Std.TransCmp", "Std.ExtDTreeMap.getKey!", "Std.LawfulEqCmp", "Std.ExtDTreeMap.inductionOn", "Std.ExtDTreeMap", "Std.DTreeMap.getKey!_eq_of_mem", "Inhabited", "Eq", "Std.ExtDTreeMap.instMembershipOfTransCmp" ]
true
Polynomial.roots_eq_of_natDegree_le_card_of_ne_zero
Mathlib.Algebra.Polynomial.Roots
[ "Polynomial.eval", "IsDomain", "CommRing", "Polynomial.roots", "CommSemiring.toSemiring", "Finset", "Membership.mem", "Multiset", "Polynomial.degree_le_of_natDegree_le", "Ne", "Polynomial.roots_eq_of_degree_le_card_of_ne_zero", "LE.le", "instLENat", "Finset.val", "Polynomial", "CommRin...
true
Membership.get_elem_helper
Init.Data.Range.Basic
[ "Std.Legacy.Range.step", "Std.Legacy.Range.stop", "HSub.hSub", "Membership.mem", "Eq.rec", "Nat.instMod", "instHMod", "Std.Legacy.Range.start", "instSubNat", "instOfNatNat", "LE.le", "instLENat", "HMod.hMod", "And", "instHSub", "And.right", "And.left", "Nat", "LT.lt", "Std.Lega...
true
LowerSet.instAdd
Mathlib.Algebra.Order.UpperLower
[ "AddCommGroup.toAddCommMonoid", "Add.mk", "AddMonoid.toAddZeroClass", "Preorder.toLE", "AddCommGroup.toAddGroup", "AddZeroClass.toAddZero", "AddCommGroup", "instHAdd", "AddGroup.toSubNegMonoid", "SetLike.coe", "LowerSet.instAdd._proof_1", "HAdd.hAdd", "Set.image2", "LowerSet.mk", "AddZer...
true
Std.Internal.Parsec.ByteArray.skipWhileUpTo
Std.Internal.Parsec.ByteArray
[ "Unit.unit", "_private.Std.Internal.Parsec.ByteArray.0.Std.Internal.Parsec.ByteArray.skipWhileUpTo.findEnd", "ByteArray.Iterator", "instOfNatNat", "Unit", "Std.Internal.Parsec.ByteArray.Parser", "Nat", "Bool", "Std.Internal.Parsec.ParseResult.success", "OfNat.ofNat", "UInt8" ]
true
Matroid.RankInfinite
Mathlib.Combinatorics.Matroid.Basic
[ "Matroid.RankInfinite.mk", "Matroid" ]
true
MonoidAlgebra.uniqueRingEquiv_apply
Mathlib.Algebra.MonoidAlgebra.Defs
[ "MonoidAlgebra.semiring", "Finsupp.instFunLike", "Monoid", "NonAssocSemiring.toAddCommMonoidWithOne", "MulOne.toOne", "Monoid.toMulOneClass", "RingEquiv.instEquivLike", "AddMonoid.toAddZeroClass", "AddZeroClass.toAddZero", "MonoidAlgebra.instMul", "MonoidAlgebra.uniqueRingEquiv", "MulOne.toMul...
true
WittVector.mul_charP_coeff_succ
Mathlib.RingTheory.WittVector.Identities
[ "Eq.mpr", "CommRing", "Nat.Prime", "HMul.hMul", "WittVector.verschiebung_coeff_succ", "WittVector.instNatCast", "congrArg", "WittVector.instCommRing", "CommSemiring.toSemiring", "WittVector.frobenius", "AddMonoid.toAddZeroClass", "AddGroupWithOne.toAddMonoidWithOne", "RingHom", "Fact", "...
true
Std.DTreeMap.Internal.Impl.Const.get!_filter_of_getKey?_eq_some
Std.Data.DTreeMap.Internal.Lemmas
[ "Eq.mpr", "Ord", "Std.instLawfulBEqOrd", "congrArg", "Std.DTreeMap.Internal.Impl.Const.get!_eq_getValue!", "beqOfOrd", "Std.DTreeMap.Internal.Impl.Ordered.distinctKeys", "Std.TransOrd", "Std.Internal.List.Const.getValue!_filter_of_getKey?_eq_some", "Std.DTreeMap.Internal.Impl.toListModel_filter", ...
true
Lean.Meta.Sym.Simp.instNonemptyMethodsRef
Lean.Meta.Sym.Simp.SimpM
[ "Lean.Meta.Sym.Simp.MethodsRef", "_private.Lean.Meta.Sym.Simp.SimpM.0.Lean.Meta.Sym.Simp.MethodsRefPointed", "Nonempty", "Subtype.property" ]
true
Lean.Parser.Command.open._regBuiltin.Lean.Parser.Command.openHiding.formatter_9
Lean.Parser.Command
[ "Lean.PrettyPrinter.Formatter", "Lean.Name.mkStr5", "IO", "Lean.Parser.Command.openHiding.formatter", "Unit", "Lean.PrettyPrinter.formatterAttribute", "Lean.Name.mkStr4", "Lean.KeyedDeclsAttribute.addBuiltin" ]
false
_private.Mathlib.Analysis.Calculus.TangentCone.Basic.0.tangentConeAt_mono_field._simp_1_1
Mathlib.Analysis.Calculus.TangentCone.Basic
[ "setOf", "HasSubset.Subset", "Set.setOf_subset_setOf", "propext", "Eq", "Set.instHasSubset", "Set" ]
false
Topology.isInducing_iff_nhds
Mathlib.Topology.Maps.Basic
[ "induced_iff_nhds_eq", "nhds", "Topology.IsInducing", "TopologicalSpace", "Iff", "TopologicalSpace.induced", "Topology.isInducing_iff", "Iff.trans", "Eq", "Filter", "Filter.comap" ]
true
instAddRightCancelMonoidLex.eq_1
Mathlib.Algebra.Order.Group.Synonym
[ "Lex", "AddRightCancelMonoid", "Eq.refl", "instAddRightCancelMonoidLex", "Eq" ]
true
CStarAlgebra.noConfusionType
Mathlib.Analysis.CStarAlgebra.Classes
[ "Semigroup.toMul", "NonUnitalCommRing.toNonUnitalNonAssocCommRing", "CompleteSpace", "NormedRing.toRing", "Complex.instNormedField", "PseudoMetricSpace.toUniformSpace", "CStarAlgebra.casesOn", "SeminormedRing.toRing", "Algebra.toSMul", "NormedField.toField", "Semiring.zero_mul", "NormedRing.to...
false
Stream'.head
Mathlib.Data.Stream.Defs
[ "instOfNatNat", "Stream'", "Stream'.get", "Nat", "OfNat.ofNat" ]
true
_private.Mathlib.RingTheory.PowerSeries.Schroder.0.PowerSeries.coeff_X_mul_largeSchroderSeries._simp_1_4
Mathlib.RingTheory.PowerSeries.Schroder
[ "Preorder.toLT", "LinearOrder", "PartialOrder.toPreorder", "Preorder.toLE", "LE.le", "not_lt", "LT.lt", "propext", "LinearOrder.toPartialOrder", "Eq", "Not" ]
false
Int.prime_three
Mathlib.Data.Nat.Prime.Int
[ "Iff.mpr", "Nat.Prime", "Prime", "CommSemiring.toCommMonoidWithZero", "instOfNatNat", "Int", "Int.prime_ofNat_iff", "instOfNat", "Nat", "Nat.prime_three", "Int.instCommSemiring", "OfNat.ofNat" ]
true
Std.DTreeMap.Raw.isSome_minKey?_of_contains
Std.Data.DTreeMap.Raw.Lemmas
[ "Ord.mk", "Std.DTreeMap.Raw.minKey?", "Ordering", "Std.TransCmp", "Bool.true", "Std.DTreeMap.Raw.WF.out", "Std.DTreeMap.Raw.inner", "Std.DTreeMap.Raw.contains", "Bool", "Option.isSome", "Eq", "Std.DTreeMap.Raw.WF", "Std.DTreeMap.Internal.Impl.isSome_minKey?_of_contains", "Std.DTreeMap.Raw"...
true
instCommSemiringENat._proof_9
Mathlib.Data.ENat.Basic
[ "Monoid.npow_zero._autoParam", "IsDomain.to_noZeroDivisors", "instAddMonoidWithOneENat", "Nat.instNontrivial", "CommSemiring.toSemiring", "instCommSemiringENat._aux_7", "Nat.instIsDomain", "instOfNatNat", "autoParam", "AddMonoidWithOne.toOne", "WithTop.instSemiring._proof_4", "Nat", "ENat", ...
false
FirstOrder.Language.isUltrahomogeneous_iff_IsExtensionPair
Mathlib.ModelTheory.Fraisse
[ "FirstOrder.Language.PartialEquiv.toEquiv", "Set.mem_singleton", "Eq.mpr", "FirstOrder.Language.Substructure.fg_closure_singleton", "Lattice.toSemilatticeSup", "ChainCompletePartialOrder.instOfCompleteLattice", "_private.Mathlib.ModelTheory.Fraisse.0.FirstOrder.Language.isUltrahomogeneous_iff_IsExtensio...
true
_private.Mathlib.SetTheory.Ordinal.CantorNormalForm.0.Ordinal.CNF.nodupKeys
Mathlib.SetTheory.Ordinal.CantorNormalForm
[ "Prod.fst_comp_toSigma", "Eq.mpr", "List.SortedGT.nodup", "Prod.toSigma", "Ordinal.partialOrder", "congrArg", "List.map", "_private.Mathlib.SetTheory.Ordinal.CantorNormalForm.0.List.NodupKeys.eq_1", "PartialOrder.toPreorder", "List.keys", "Function.comp", "Ordinal.CNF.sortedGT", "id", "Lis...
true
_private.Mathlib.Lean.Meta.RefinedDiscrTree.Initialize.0.Lean.Meta.RefinedDiscrTree.ImportFailure
Mathlib.Lean.Meta.RefinedDiscrTree.Initialize
[ "_private.Mathlib.Lean.Meta.RefinedDiscrTree.Initialize.0.Lean.Meta.RefinedDiscrTree.ImportFailure.mk" ]
true
Complex.HadamardThreeLines.interpStrip_eq_of_zero
Mathlib.Analysis.Complex.Hadamard
[ "Real", "HMul.hMul", "Real.instZero", "HSub.hSub", "Complex.instZero", "Complex.instPow", "Complex.instMul", "if_pos", "Complex.ofReal", "Real.instOne", "instHSub", "Complex.HadamardThreeLines.sSupNormIm", "HPow.hPow", "Complex.HadamardThreeLines.interpStrip", "One.toOfNat1", "Zero.toO...
true
_private.Lean.Environment.0.Lean.importModules._sparseCasesOn_1
Lean.Environment
[ "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
AlgebraicGeometry.tilde.modulesSpecToSheafIso._proof_3
Mathlib.AlgebraicGeometry.Modules.Tilde
[ "AlgebraicGeometry.Spec", "CategoryTheory.Functor", "instHSMul", "Semiring.toModule", "Opposite", "AlgebraicGeometry.Scheme.Modules.instCategory", "CommRingCat.carrier", "AlgebraicGeometry.PresheafedSpace.carrier", "Algebra.algebraMap", "AlgebraicGeometry.tilde", "ModuleCat", "TopologicalSpace...
false
AddSubsemigroup.center.eq_1
Mathlib.GroupTheory.Subsemigroup.Center
[ "Set.add_mem_addCenter", "AddSubsemigroup.center", "AddSubsemigroup.mk", "Set.addCenter", "AddSubsemigroup", "Eq.refl", "Eq", "Add" ]
true
_private.Mathlib.GroupTheory.Perm.Cycle.Basic.0.Equiv.Perm.IsCycle.swap_mul._simp_1_1
Mathlib.GroupTheory.Perm.Cycle.Basic
[ "Equiv.instEquivLike", "HMul.hMul", "Equiv.Perm", "Equiv.Perm.instMul", "Equiv.Perm.mul_apply", "Eq.symm", "Eq", "DFunLike.coe", "EquivLike.toFunLike", "instHMul" ]
false
_private.Mathlib.AlgebraicTopology.SimplicialSet.NonDegenerateSimplices.0.SSet.S.toNπ._proof_1
Mathlib.AlgebraicTopology.SimplicialSet.NonDegenerateSimplices
[ "SSet.S.simplex", "SSet.S", "Opposite", "CategoryTheory.Epi", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "ExistsUnique.exists", "CategoryTheory.ConcreteCategory.hom", "Quiver.Hom.op", "TypeCat.instFunLikeFun", "Exists", "SSet", "CategoryTheory.Functor.map", "And", "TypeCat.F...
false
CategoryTheory.Limits.BinaryBicone.isColimitInlCokernelCofork._proof_1
Mathlib.CategoryTheory.Limits.Shapes.BinaryBiproducts
[ "CategoryTheory.Limits.HasZeroMorphisms", "CategoryTheory.Limits.BinaryCofan.inr", "CategoryTheory.Functor", "CategoryTheory.Limits.BinaryCofan.IsColimit.hom_ext", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "CategoryTheory.Limits.WalkingParallelPair", "congrArg", "CategoryTheory.Limits....
false
HomotopicalAlgebra.PathObject.ofFactorizationData_p₀
Mathlib.AlgebraicTopology.ModelCategory.PathObject
[ "CategoryTheory.MorphismProperty.MapFactorizationData.Z", "HomotopicalAlgebra.fibrations", "HomotopicalAlgebra.ModelCategory.cm1a", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "CategoryTheory.Limits.prod.fst", "CategoryTheory.MorphismProperty.MapFactorizationData.p", "CategoryTheory.Limits...
true
SimpleGraph.edgeFinset_subset_sym2_of_support_subset
Mathlib.Combinatorics.SimpleGraph.Finite
[ "Iff.mpr", "Eq.mpr", "congrArg", "Finset", "SimpleGraph.Adj", "SimpleGraph.fintypeEdgeSet", "DecidableRel", "Membership.mem", "Subtype.fintype", "id", "SimpleGraph.edgeSet_subset_sym2_iff", "HasSubset.Subset", "Set.toFinset", "SimpleGraph.edgeSet", "SimpleGraph.edgeFinset", "SimpleGrap...
true
TopCat.Presheaf.stalkSpecializes_stalkPushforward_assoc
Mathlib.Topology.Sheaves.Stalks
[ "CategoryTheory.Category.assoc", "TopCat.Presheaf.stalkSpecializes_stalkPushforward", "Specializes", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "congrArg", "CategoryTheory.ConcreteCategory.hom", "TopCat.instCategory", "TopCat.instCategoryPresheaf", "TopCat.Presheaf.stalkSpecializes", ...
true
CategoryTheory.NatTrans.equifibered_unop_iff
Mathlib.CategoryTheory.Limits.Shapes.Pullback.Equifibered
[ "CategoryTheory.Functor", "Opposite", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "CategoryTheory.Functor.category", "CategoryTheory.Functor.unop", "CategoryTheory.NatTrans.Equifibered", "Iff", "Iff.intro", "CategoryTheory.NatTrans.Coequifibered.unop", "CategoryTheory.Category.opposi...
true
DividedPowers.equiv._proof_5
Mathlib.RingTheory.DividedPowers.Basic
[ "DividedPowers.ofRingEquiv._proof_4", "RingEquiv.apply_symm_apply", "NonAssocSemiring.toAddCommMonoidWithOne", "DividedPowers.ofRingEquiv._proof_2", "Nat.choose", "Semiring.toModule", "HMul.hMul", "DividedPowers.ofRingEquiv._proof_7", "DividedPowers.ofRingEquiv._proof_5", "congrArg", "CommSemiri...
false
Rep.Hom.ctorIdx
Mathlib.RepresentationTheory.Rep.Basic
[ "Monoid", "Rep", "Nat", "Semiring", "Rep.Hom" ]
false
Action.instIsEquivalenceFunctorSingleObjInverse
Mathlib.CategoryTheory.Action.Basic
[ "Monoid", "CategoryTheory.Equivalence.isEquivalence_inverse", "CategoryTheory.Functor", "CategoryTheory.Functor.category", "Action.functorCategoryEquivalence", "CategoryTheory.SingleObj", "Action.FunctorCategoryEquivalence.inverse", "Action", "Action.instCategory", "CategoryTheory.Functor.IsEquiva...
true
ContinuousAlternatingMap.smulRight_apply
Mathlib.Topology.Algebra.Module.Alternating.Basic
[ "instHSMul", "Semiring.toModule", "ContinuousSMul", "CommSemiring.toSemiring", "DistribMulAction.toDistribSMul", "AddMonoid.toAddZeroClass", "AddZeroClass.toAddZero", "DistribSMul.toSMulZeroClass", "AddCommMonoid", "CommSemiring", "NonUnitalNonAssocSemiring.toAddCommMonoid", "TopologicalSpace"...
true
Std.DTreeMap.Raw.toArray_keys
Std.Data.DTreeMap.Raw.Lemmas
[ "Ordering", "Std.DTreeMap.Raw.keys", "List.toArray", "Array", "Std.DTreeMap.Raw.keysArray", "Std.DTreeMap.Raw.inner", "Std.DTreeMap.Internal.Impl.toArray_keys", "Eq", "Std.DTreeMap.Raw" ]
true
_private.Lean.Elab.Tactic.Do.VCGen.SuggestInvariant.0.Lean.Elab.Tactic.Do.ExceptCondsDefault.other.sizeOf_spec
Lean.Elab.Tactic.Do.VCGen.SuggestInvariant
[ "_private.Lean.Elab.Tactic.Do.VCGen.SuggestInvariant.0.Lean.Elab.Tactic.Do.ExceptCondsDefault", "Lean.Expr", "instOfNatNat", "instHAdd", "HAdd.hAdd", "Nat", "SizeOf.sizeOf", "instAddNat", "Eq.refl", "OfNat.ofNat", "Eq", "Lean.Expr._sizeOf_inst", "_private.Lean.Elab.Tactic.Do.VCGen.SuggestInv...
true
IsSimpleOrder.linearOrder._proof_1
Mathlib.Order.Atoms
[ "congrArg", "true_or", "le_top._simp_2", "OrderBot.toBot", "PartialOrder.toPreorder", "IsSimpleOrder", "Preorder.toLE", "inferInstance", "PartialOrder", "Bot.bot", "LE.le", "Or.casesOn", "le_bot_iff._simp_1", "OrderTop.toTop", "BoundedOrder.toOrderTop", "congr", "BoundedOrder.toOrder...
false
HeytingHom.instPartialOrder._proof_1
Mathlib.Order.Heyting.Hom
[ "DFunLike.coe_injective", "HeytingHom", "Function.Injective", "HeytingAlgebra", "DFunLike.coe", "HeytingHom.instFunLike" ]
false
ciInf_subtype_fun
Mathlib.Order.ConditionallyCompleteLattice.Indexed
[ "iInf", "PartialOrder.toPreorder", "ConditionallyCompleteLattice", "Preorder.toLE", "Membership.mem", "ciInf_subtype", "Set.Elem", "LE.le", "BddBelow", "Set.instEmptyCollection", "ConditionallyCompletePartialOrderSup.toPartialOrder", "ConditionallyCompleteLattice.toConditionallyCompletePartial...
true
_private.Mathlib.GroupTheory.Perm.Cycle.Concrete.0.Equiv.Perm.mem_toList_iff._simp_1_2
Mathlib.GroupTheory.Perm.Cycle.Concrete
[ "List.iterate", "Membership.mem", "Exists", "Nat.iterate", "List", "And", "List.instMembership", "Nat", "LT.lt", "propext", "List.mem_iterate", "instLTNat", "Eq" ]
false
Std.DTreeMap.Internal.Impl.getKey!_inter_of_contains_eq_false_right
Std.Data.DTreeMap.Internal.Lemmas
[ "Eq.mpr", "Inhabited.default", "Std.Internal.List.DistinctKeys", "Std.Internal.List.getKey!", "Ord", "Std.instLawfulBEqOrd", "congrArg", "Std.DTreeMap.Internal.Impl.contains_eq_containsKey", "beqOfOrd", "Std.DTreeMap.Internal.Impl.Ordered.distinctKeys", "Std.TransOrd", "panicWithPosWithDecl", ...
true
Lean.Parser.Command.macro._regBuiltin.Lean.Parser.Command.macroArg.parenthesizer_23
Lean.Parser.Syntax
[ "Lean.Name.mkStr5", "IO", "Lean.PrettyPrinter.Parenthesizer", "Lean.PrettyPrinter.parenthesizerAttribute", "Lean.Parser.Command.macroArg.parenthesizer", "Unit", "Lean.Name.mkStr4", "Lean.KeyedDeclsAttribute.addBuiltin" ]
false
SSet.PtSimplex.MulStruct.δ_succ_castSucc_map
Mathlib.AlgebraicTopology.SimplicialSet.KanComplex.MulStruct
[ "SSet.Subcomplex.toSSet", "SSet.PtSimplex.MulStruct.map", "SSet.Subcomplex.ofSimplex", "SSet.const", "Opposite", "CategoryTheory.CategoryStruct.toQuiver", "SSet.PtSimplex.MulStruct", "Quiver.Hom", "Fin.succ", "CategoryTheory.Functor.category", "CategoryTheory.CosimplicialObject.δ", "Membership...
true
NonUnitalSubalgebra.center.instNonUnitalCommRing._aux_3
Mathlib.Algebra.Algebra.NonUnitalSubalgebra
[ "NonUnitalNonAssocRing", "NonUnitalSubring.instSetLike", "NonUnitalSubalgebra", "instSMulOfMul", "CommSemiring.toSemiring", "DistribMulAction.toDistribSMul", "IsScalarTower", "AddMonoid.toAddZeroClass", "NonUnitalNonAssocRing.toAddCommGroup", "HSub.hSub", "NonUnitalSubring", "AddCommGroup.toAd...
false
egauge_ball_le_of_one_lt_norm
Mathlib.Analysis.Convex.EGauge
[ "ENNReal.instCanonicallyOrderedAdd", "Iff.mpr", "AddGroup.toSubtractionMonoid", "Norm.norm", "SeminormedAddGroup.toNorm", "Eq.mpr", "GroupWithZero.toMonoidWithZero", "LinearOrderedCommGroupWithZero.toLinearOrderedCommMonoidWithZero", "NormedCommRing.toSeminormedCommRing", "NNReal.instCommSemiring"...
true
AdjoinRoot.instCommRing._proof_45
Mathlib.RingTheory.AdjoinRoot
[ "Semiring.toNatCast", "Mul.mk", "CommRing", "One.mk", "AdjoinRoot", "AddGroupWithOne.intCast_ofNat._autoParam", "AdjoinRoot.instCommRing._proof_19", "CommSemiring.toSemiring", "AdjoinRoot.instCommRing._aux_13", "Add.mk", "AdjoinRoot.instCommRing._proof_3", "AdjoinRoot.instCommRing._proof_26", ...
false
Mathlib.Tactic.TermCongr.CongrResult.noConfusionType
Mathlib.Tactic.TermCongr
[ "Mathlib.Tactic.TermCongr.CongrResult.casesOn", "Lean.Expr", "Lean.Meta.MetaM", "Mathlib.Tactic.TermCongr.CongrResult", "Eq", "Mathlib.Tactic.TermCongr.CongrType", "Option" ]
false
Lean.QuotKind.ctor.sizeOf_spec
Lean.Declaration
[ "Lean.QuotKind._sizeOf_inst", "Lean.QuotKind", "instOfNatNat", "Lean.QuotKind.ctor", "Nat", "SizeOf.sizeOf", "Eq.refl", "OfNat.ofNat", "Eq" ]
true
_private.Init.Data.UInt.Lemmas.0.UInt16.pos_iff_ne_zero._simp_1_1
Init.Data.UInt.Lemmas
[ "UInt16.lt_iff_le_and_ne", "instLEUInt16", "Ne", "LE.le", "And", "UInt16", "LT.lt", "propext", "instLTUInt16", "Eq" ]
false