name
stringlengths
2
347
module
stringlengths
6
90
deps
listlengths
0
692
allowCompletion
bool
2 classes
Lean.Lsp.LeanImportKind.recOn
Lean.Data.Lsp.Extra
[ "Lean.Lsp.LeanImportMetaKind", "Lean.Lsp.LeanImportKind.mk", "Lean.Lsp.LeanImportKind", "Lean.Lsp.LeanImportKind.rec", "Bool" ]
false
CategoryTheory.GrothendieckTopology.Covers.eq_1
Mathlib.CategoryTheory.Sites.Grothendieck
[ "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "Membership.mem", "CategoryTheory.GrothendieckTopology.Covers", "CategoryTheory.Sieve", "CategoryTheory.GrothendieckTopology", "Eq.refl", "CategoryTheory.Category.toCategoryStruct", "CategoryTheory.Sieve.pullback", "Eq", "Set.instMembership...
true
norm_le_pi_norm'
Mathlib.Analysis.Normed.Group.Constructions
[ "Norm.norm", "Real.instLE", "Real", "le_rfl", "norm_nonneg'", "SeminormedGroup", "LE.le", "pi_norm_le_iff_of_nonneg'", "Fintype", "SeminormedGroup.toNorm", "Iff.mp", "Pi.seminormedGroup", "Real.instPreorder" ]
true
ContinuousAddEquiv.mulLeft._proof_3
Mathlib.Topology.Algebra.Ring.Basic
[ "Units.val", "Continuous", "HMul.hMul", "Monoid.toMulOneClass", "IsTopologicalSemiring", "Units", "MulOne.toMul", "continuous_const_mul", "TopologicalSpace", "MulOneClass.toMulOne", "IsSemitopologicalSemiring.toSeparatelyContinuousMul", "Inv.inv", "NonAssocSemiring.toNonUnitalNonAssocSemirin...
false
Fin.appendIsometryOfEq_symm_apply
Mathlib.Topology.MetricSpace.Isometry
[ "Prod.pseudoEMetricSpaceMax", "Fin.natAdd", "Fin.appendIsometryOfEq", "Fin.castAdd", "IsometryEquiv.instEquivLike", "IsometryEquiv.symm", "pseudoEMetricSpacePi", "Prod.mk", "PseudoEMetricSpace", "Fin.fintype", "instHAdd", "Fin.cast", "HAdd.hAdd", "Nat", "instAddNat", "Eq.refl", "Prod...
true
CochainComplex.mappingConeCompHomotopyEquiv_comm₂_assoc
Mathlib.Algebra.Homology.HomotopyCategory.Triangulated
[ "CochainComplex.mappingConeCompHomotopyEquiv", "CategoryTheory.Category.assoc", "HomologicalComplex.instCategory", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "congrArg", "CategoryTheory.Pretriangulated.Triangle.obj₁", "AddGroupWithOne.toAddMonoidWithOne", "AddRightCancelSemigroup.toAddS...
true
InnerProductSpace.toDualMap._proof_6
Mathlib.Analysis.InnerProductSpace.Dual
[ "NormedCommRing.toSeminormedCommRing", "AddMonoid.toAddSemigroup", "ContinuousLinearMap.addCommGroup._proof_6", "PseudoMetricSpace.toUniformSpace", "AddCommGroup.toAddGroup", "RCLike.toDenselyNormedField", "AddSemigroup.toAdd", "RCLike", "SeminormedAddCommGroup.toPseudoMetricSpace", "AddGroup.toSu...
false
CategoryTheory.Cokleisli.Adjunction.toCokleisli._proof_2
Mathlib.CategoryTheory.Monad.Kleisli
[ "CategoryTheory.Comonad", "Eq.mpr", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "congrArg", "CategoryTheory.Cokleisli.category", "CategoryTheory.Functor.id", "CategoryTheory.CategoryStruct.id", "id", "CategoryTheory.Category.comp_id", "CategoryTheory.Cokleisli.mk", "CategoryTheory....
false
Lean.Elab.Term.backward.proofsInPublic
Lean.Elab.SyntheticMVars
[ "Inhabited.default", "instInhabitedBool", "Lean.Option", "Lean.instInhabitedOption", "Bool" ]
true
variationOnFromTo.abs_le_eVariationOn
Mathlib.Topology.EMetricSpace.BoundedVariation
[ "Eq.mpr", "abs_neg", "Real.instLE", "Real", "Real.lattice", "eq_false", "abs", "congrArg", "LinearOrder", "PartialOrder.toPreorder", "Preorder.toLE", "SemilatticeInf.toPartialOrder", "LinearOrder.toDecidableLE", "DistribLattice.toLattice", "id", "Set.inter_subset_left", "Real.instAdd...
true
Lean.JsonRpc.Message.response.sizeOf_spec
Lean.Data.JsonRpc
[ "Lean.Json", "Lean.JsonRpc.Message._sizeOf_inst", "instOfNatNat", "Lean.Json._sizeOf_inst", "Lean.JsonRpc.Message", "instHAdd", "HAdd.hAdd", "Nat", "SizeOf.sizeOf", "Lean.JsonRpc.RequestID._sizeOf_inst", "instAddNat", "Eq.refl", "Lean.JsonRpc.Message.response", "Lean.JsonRpc.RequestID", ...
true
Order.Ideal.instMin._proof_3
Mathlib.Order.Ideal
[ "LowerSet.instMin", "PartialOrder.toPreorder", "Preorder.toLE", "Membership.mem", "Exists", "SemilatticeSup.toMax", "LE.le", "LowerSet.carrier", "And", "SetLike.coe", "And.right", "And.left", "Max.max", "And.intro", "Exists.intro", "Order.Ideal.toLowerSet", "SemilatticeSup.toPartialO...
false
Lean.Compiler.LCNF.Simp.FunDeclInfo.casesOn
Lean.Compiler.LCNF.Simp.FunDeclInfo
[ "Lean.Compiler.LCNF.Simp.FunDeclInfo.rec", "Lean.Compiler.LCNF.Simp.FunDeclInfo", "Lean.Compiler.LCNF.Simp.FunDeclInfo.once", "Lean.Compiler.LCNF.Simp.FunDeclInfo.many", "Lean.Compiler.LCNF.Simp.FunDeclInfo.mustInline" ]
false
ContIntertwiningMap.noConfusionType
Mathlib.RepresentationTheory.Continuous.Basic
[ "ContinuousLinearMap.comp", "Monoid", "MonoidHom.instFunLike", "ContinuousLinearMap.semiring", "ContIntertwiningMap.casesOn", "Monoid.toMulOneClass", "AddCommGroup.toAddCommMonoid", "ContRepresentation", "AddCommGroup.toAddGroup", "AddCommGroup", "ContRepresentation._proof_1", "MulZeroOneClass...
false
CategoryTheory.Limits.WalkingPair.swap_apply_right
Mathlib.CategoryTheory.Limits.Shapes.BinaryProducts
[ "Equiv.instEquivLike", "CategoryTheory.Limits.WalkingPair.swap", "CategoryTheory.Limits.WalkingPair.right", "Equiv", "CategoryTheory.Limits.WalkingPair", "CategoryTheory.Limits.WalkingPair.left", "Eq", "DFunLike.coe", "rfl", "EquivLike.toFunLike" ]
true
List.minimum
Mathlib.Data.List.MinMax
[ "Preorder.toLT", "id", "List", "List.argmin", "DecidableLT", "Preorder", "WithTop" ]
true
latToBddLatForgetAdjunction._proof_8
Mathlib.Order.Category.BddLat
[ "WithBot", "Lattice.toSemilatticeSup", "Equiv.instEquivLike", "latToBddLatForgetAdjunction._proof_7", "CategoryTheory.CategoryStruct.toQuiver", "Lat.instConcreteCategoryLatticeHomCarrier", "Quiver.Hom", "CategoryTheory.ConcreteCategory.hom", "SupHom.toFun", "WithBot.instOrderBot", "BddLat.toLat"...
false
_private.Init.Data.Range.Polymorphic.RangeIterator.0.Std.Rxc.Iterator.isPlausibleIndirectOutput_iff._simp_1_2
Init.Data.Range.Polymorphic.RangeIterator
[ "Std.Rxc.Iterator", "Std.PRange.UpwardEnumerable", "Option.some", "Exists", "Option.bind", "Std.Rxc.instIteratorIteratorIdOfUpwardEnumerableOfDecidableLE", "Std.Rxc.Iterator.upperBound", "LE.le", "Id", "Std.IterM.IsPlausibleIndirectOutput", "Std.IterM.internalState", "LE", "Std.Rxc.Iterator....
false
RootPairing.GeckConstruction.ωConj._proof_1
Mathlib.LinearAlgebra.RootSystem.GeckConstruction.Basic
[ "add_mul", "Distrib.leftDistribClass", "Semigroup.toMul", "CommRing", "instFintypeSum", "NonUnitalCommRing.toNonUnitalNonAssocCommRing", "HMul.hMul", "CommRing.toNonUnitalCommRing", "LieRing.toAddCommGroup", "congrArg", "CommSemiring.toSemiring", "RootPairing.Base", "AddCommGroup.toAddCommMo...
false
Lean.Meta.ExprConfigCacheKey.configKey
Lean.Meta.Basic
[ "UInt64", "Lean.Meta.ExprConfigCacheKey" ]
true
Coalgebra.Repr.induced_right
Mathlib.RingTheory.Coalgebra.Hom
[ "Coalgebra.Repr.induced", "Coalgebra.Repr", "Coalgebra.toCoalgebraStruct", "Coalgebra", "CommSemiring.toSemiring", "Function.comp", "AddCommMonoid", "CommSemiring", "CoalgHomClass", "Coalgebra.Repr.ι", "Eq.refl", "Module", "Eq", "Coalgebra.Repr.right", "DFunLike.coe", "FunLike" ]
true
CategoryTheory.skeleton_isSkeleton
Mathlib.CategoryTheory.Skeletal
[ "CategoryTheory.fromSkeleton.isEquivalence", "CategoryTheory.IsSkeletonOf", "CategoryTheory.skeleton_skeletal", "CategoryTheory.IsSkeletonOf.mk", "CategoryTheory.fromSkeleton", "CategoryTheory.instCategorySkeleton", "CategoryTheory.Category", "CategoryTheory.Skeleton" ]
true
Lean.Elab.Term.Quotation.elabQuot._@.Lean.Elab.Quotation.3282600398._hygCtx._hyg.3
Lean.Elab.Quotation
[ "Lean.Elab.Term.TermElab", "Lean.Elab.Term.adaptExpander", "Lean.Elab.Term.Quotation.stxQuot.expand" ]
false
CategoryTheory.Limits.binaryCofanZeroLeftIsColimit._proof_4
Mathlib.CategoryTheory.Limits.Constructions.ZeroObjects
[ "CategoryTheory.Limits.BinaryCofan.inr", "CategoryTheory.Functor", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "congrArg", "CategoryTheory.Functor.category", "CategoryTheory.CategoryStruct.id", "CategoryTheory.Limits.WalkingPair.right", "Eq.mp", "id", "CategoryTheory.Limits.WalkingPa...
false
instCircularOrderZMod._aux_13
Mathlib.Order.Circular.ZMod
[ "Preorder.toLT", "PartialOrder.toPreorder", "SemilatticeInf.toPartialOrder", "DistribLattice.toLattice", "instOfNatNat", "ZMod", "instHAdd", "And", "Fin.instLinearOrder", "HAdd.hAdd", "Nat", "LT.lt", "instAddNat", "Or", "OfNat.ofNat", "Fin", "instDistribLatticeOfLinearOrder", "Latt...
false
ISize.toNat_toBitVec
Init.Data.SInt.Lemmas
[ "ISize.toUSize", "BitVec.toNat", "System.Platform.numBits", "USize.toNat", "Nat", "ISize.toBitVec", "ISize", "Eq", "rfl" ]
true
_private.Mathlib.Data.List.Forall2.0.List.sublistForall₂_map_left_iff._simp_1_1
Mathlib.Data.List.Forall2
[ "Exists", "List.SublistForall₂", "List", "And", "List.sublistForall₂_iff", "propext", "List.Forall₂", "List.Sublist", "Eq" ]
false
Lean.Parser.Command.declaration._regBuiltin.Lean.Parser.Command.computedField.parenthesizer_297
Lean.Parser.Command
[ "Lean.Name.mkStr5", "IO", "Lean.PrettyPrinter.Parenthesizer", "Lean.PrettyPrinter.parenthesizerAttribute", "Unit", "Lean.Parser.Command.computedField.parenthesizer", "Lean.Name.mkStr4", "Lean.KeyedDeclsAttribute.addBuiltin" ]
false
_private.Mathlib.Data.Int.Range.0.Int.decidableLELT._simp_2
Mathlib.Data.Int.Range
[ "and_imp", "And", "propext", "Eq" ]
false
CategoryTheory.OplaxFunctor.mk
Mathlib.CategoryTheory.Bicategory.Functor.Oplax
[ "CategoryTheory.OplaxFunctor.mk", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "CategoryTheory.Bicategory.rightUnitor", "CategoryTheory.OplaxFunctor.map₂_rightUnitor._autoParam", "CategoryTheory.CategoryStruct.id", "CategoryTheory.Bicategory.whiskerRight", "CategoryTheory.PrelaxFunctorStruc...
true
String.utf8Len_reverseAux
Batteries.Data.String.Lemmas
[ "List.append_assoc", "congrArg", "List.reverseAux", "String.utf8Len", "Eq.mp", "id", "List.rec", "List.reverseAux_eq", "List.cons", "List.reverse_cons", "instHAppendOfAppend", "List", "instHAdd", "Nat.add_left_cancel_iff._simp_1", "_private.Batteries.Data.String.Lemmas.0.String.utf8Len_r...
true
Std.TreeSet.get?_eq_some_get
Std.Data.TreeSet.Lemmas
[ "Std.TreeSet", "Option.some", "Membership.mem", "Ordering", "Std.TreeMap.getKey?_eq_some_getKey", "Std.TreeSet.inner", "Std.TransCmp", "Unit", "Std.TreeSet.get?", "Eq", "Std.TreeSet.instMembership", "Std.TreeSet.get", "Option" ]
true
HomologicalComplex.mapBifunctor.d₁
Mathlib.Algebra.Homology.Bifunctor
[ "CategoryTheory.Limits.HasZeroMorphisms", "CategoryTheory.Functor", "HomologicalComplex.instCategory", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "CategoryTheory.Functor.category", "HomologicalComplex", "CategoryTheory.Functor.mapBifunctorHomologicalComplex", "ComplexShape", "Category...
true
NonUnitalSubring.copy._proof_1
Mathlib.RingTheory.NonUnitalSubring.Defs
[ "NonUnitalNonAssocRing", "NonUnitalSubring.instSetLike", "AddMonoid.toAddZeroClass", "AddSubsemigroup.carrier", "NonUnitalSubring", "Membership.mem", "NonUnitalSubsemiring.copy", "AddZeroClass.toAddZero", "NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring", "AddSubmonoid.toAddSubsemigroup", "Add...
false
_private.Init.Data.Int.DivMod.Lemmas.0.Int.mul_dvd_mul._simp_1_1
Init.Data.Int.DivMod.Lemmas
[ "Dvd.dvd", "Int", "Int.instDvd", "Int.natAbs_dvd_natAbs", "Nat.instDvd", "Nat", "Int.natAbs", "propext", "Eq.symm", "Eq" ]
false
CategoryTheory.Adjunction.leftAdjointOplaxMonoidal._proof_3
Mathlib.CategoryTheory.Monoidal.Functor
[ "CategoryTheory.MonoidalCategory.associator_naturality_middle_assoc", "Eq.mpr", "CategoryTheory.Category.assoc", "CategoryTheory.Functor.LaxMonoidal.μ_natural_right", "CategoryTheory.Functor", "CategoryTheory.MonoidalCategoryStruct.whiskerLeft", "Equiv.apply_symm_apply", "Equiv.instEquivLike", "Cate...
false
AddMonoidAlgebra.coeffLinearEquiv_symm_apply
Mathlib.Algebra.MonoidAlgebra.Module
[ "LinearEquiv.symm", "Finsupp.module", "AddMonoidAlgebra.addAddCommMonoid", "Finsupp.instAddCommMonoid", "NonUnitalNonAssocSemiring.toAddCommMonoid", "NonAssocSemiring.toNonUnitalNonAssocSemiring", "RingHomInvPair.ids", "AddMonoidAlgebra.ofCoeff", "LinearEquiv", "Semiring", "LinearEquiv.instEquiv...
true
_private.Mathlib.NumberTheory.FLT.Three.0.FermatLastTheoremForThreeGen.Solution.lambda_sq_not_dvd_a_add_eta_sq_mul_b.match_1_1
Mathlib.NumberTheory.FLT.Three
[ "IsPrimitiveRoot.toInteger_isPrimitiveRoot", "_private.Mathlib.NumberTheory.FLT.Three.0.FermatLastTheoremForThreeGen.Solution'.b", "_private.Mathlib.NumberTheory.FLT.Three.0.FermatLastTheoremForThreeGen.Solution.toSolution'", "Units.val", "instDecidableNot", "Semigroup.toMul", "Dvd.dvd", "HMul.hMul", ...
false
OrderEmbedding.dual
Mathlib.Order.Hom.Basic
[ "OrderDual.instLE", "RelEmbedding.mk", "Preorder.toLE", "RelEmbedding.toEmbedding", "LE.le", "OrderEmbedding.dual._proof_1", "OrderEmbedding", "OrderDual", "Preorder" ]
true
BitVec.cpopLayer._unary.eq_def
Init.Data.BitVec.Bitblast
[ "Eq.mpr", "instHDiv", "instSubsingletonDecidable", "HMul.hMul", "BitVec.extractLsb'", "congrArg", "BitVec.instHAppendHAddNat", "have_congr'", "InvImage", "HSub.hSub", "Decidable", "WellFounded.Nat.fix", "BitVec.instAdd", "WellFounded.Nat.fix_eq", "BitVec", "Eq.rec", "PSigma.casesOn",...
false
MeasureTheory.convolution
Mathlib.Analysis.Convolution
[ "NormedCommRing.toSeminormedCommRing", "Real", "MeasureTheory.Measure", "NormedSpace.toIsBoundedSMul", "UniformContinuousConstSMul.to_continuousConstSMul", "NormedSpace", "ContinuousLinearMap.topologicalSpace", "DistribMulAction.toDistribSMul", "AddCommGroup.toAddCommMonoid", "ContinuousLinearMap....
true
Homotopy.mkInductiveAux₂.eq_1
Mathlib.Algebra.Homology.Homotopy
[ "PSigma.snd", "HomologicalComplex.xNext", "ChainComplex", "HomologicalComplex.instCategory", "Nat.instOne", "HomologicalComplex.Hom.f", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "AddCommGroup.toAddCommMonoid", "AddRightCancelSemigroup.toAddSemigroup", "AddCancelMonoid.toAddRightCan...
true
_private.Mathlib.Algebra.Homology.SpectralObject.HasSpectralSequence.0.CategoryTheory.Abelian.SpectralObject.instHasSpectralSequenceFinHAddNatOfNatProdIntCoreE₂CohomologicalFin._proof_8
Mathlib.Algebra.Homology.SpectralObject.HasSpectralSequence
[ "Lean.RArray.leaf", "False", "Int.Linear.eq_eq_true", "AddMonoid.toAddSemigroup", "congrArg", "Classical.byContradiction", "AddGroupWithOne.toAddMonoidWithOne", "HSub.hSub", "Lean.RArray.branch", "Int.Linear.Expr.add", "id", "False.casesOn", "AddMonoidWithOne.toNatCast", "instOfNatNat", ...
false
_private.Lean.Meta.Tactic.Grind.AC.Util.0.Lean.Meta.Grind.AC.isArithOpInOtherModules.match_1
Lean.Meta.Tactic.Grind.AC.Util
[ "Lean.Expr.const", "Lean.Expr", "Nat.hasNotBit", "Lean.Level", "List", "_private.Lean.Meta.Tactic.Grind.AC.Util.0.Lean.Meta.Grind.AC.isArithOpInOtherModules._sparseCasesOn_1", "Lean.Name", "Lean.Expr.ctorIdx" ]
false
IsSemisimpleRing.exists_algEquiv_pi_matrix_divisionRing_finite
Mathlib.RingTheory.SimpleModule.WedderburnArtin
[ "RingHomSurjective.ids", "Module.Finite.of_surjective", "Nat.instMulZeroClass", "Pi.addCommMonoid", "Function.update", "Matrix.module", "Ring.toNonAssocRing", "congrArg", "CommSemiring.toSemiring", "Matrix", "Pi.module", "instDecidableEqFin", "_private.Mathlib.RingTheory.SimpleModule.Wedderb...
true
Substring.Raw.dropPrefix?
Init.Data.String.Substring
[ "Substring.Raw.commonPrefix", "Substring.Raw.str", "Substring.Raw.mk", "Substring.Raw.bsize", "Option.some", "Substring.Raw", "Option.none", "Substring.Raw.stopPos", "Nat", "instDecidableEqNat", "Eq", "Option", "ite" ]
true
CompleteLattice.mk.noConfusion
Mathlib.Order.CompleteLattice.Defs
[ "Lattice", "CompleteLattice.noConfusion", "Lattice.toSemilatticeSup", "PartialOrder.toPreorder", "Preorder.toLE", "InfSet", "id", "SupSet", "heq_of_eq", "IsGLB", "IsLUB", "Eq.refl", "HEq", "SemilatticeSup.toPartialOrder", "BoundedOrder", "CompleteLattice", "CompleteLattice.mk", "Eq...
false
_private.Init.Data.List.Nat.Modify.0.List.drop_modify_of_lt._simp_1_1
Init.Data.List.Nat.Modify
[ "Decidable", "ite_eq_right_iff", "propext", "Eq", "ite" ]
false
ENNReal.bot_lt_log_iff
Mathlib.Analysis.SpecialFunctions.Log.ENNRealLog
[ "ENNReal.log_lt_log_iff", "Preorder.toLT", "PartialOrder.toPreorder", "EReal", "Eq.rec", "ENNReal.log", "Bot.bot", "Iff", "LT.lt", "ENNReal", "ENNReal.log_zero", "instPartialOrderEReal", "ENNReal.instPartialOrder", "Zero.toOfNat0", "ENNReal.instZero", "OfNat.ofNat", "Eq", "instBotE...
true
Function.update_add
Mathlib.Algebra.Group.Pi.Lemmas
[ "Function.update", "funext", "instHAdd", "Pi.instAdd", "HAdd.hAdd", "Function.apply_update₂", "Eq.symm", "Eq", "Add", "DecidableEq" ]
true
Real.rpowIntegrand₀₁.eq_1
Mathlib.Analysis.SpecialFunctions.ContinuousFunctionalCalculus.Rpow.IntegralRepresentation
[ "Real.instPow", "Real", "HMul.hMul", "Real.instInv", "Real.instSub", "HSub.hSub", "Real.rpowIntegrand₀₁", "Real.instAdd", "instHAdd", "instHSub", "Inv.inv", "HPow.hPow", "HAdd.hAdd", "Real.instMul", "Eq.refl", "instHPow", "Eq", "instHMul" ]
true
_private.Lean.Meta.Tactic.Grind.Arith.Cutsat.Proof.0.Lean.Meta.Grind.Arith.Cutsat.mkMulEqProof.go._unsafe_rec
Lean.Meta.Tactic.Grind.Arith.Cutsat.Proof
[ "Pure.pure", "Lean.Meta.Grind.GrindM", "Unit.unit", "_private.Lean.Meta.Tactic.Grind.Arith.Cutsat.Proof.0.Lean.Meta.Grind.Arith.Cutsat.mkMulEqProof.go._unsafe_rec", "Lean.mkApp9", "HMul.hMul", "Bool.not", "Lean.mkApp8", "Lean.Meta.Grind.Goal", "Lean.Expr.isApp", "_private.Lean.Meta.Tactic.Grind....
false
Lean.Meta.Grind.Arith.CommRing.Semiring.noConfusionType
Lean.Meta.Tactic.Grind.Arith.CommRing.Types
[ "Lean.Meta.Grind.Arith.CommRing.SemiringExpr", "Lean.PHashMap", "Lean.PArray", "Lean.Expr", "Lean.Meta.Grind.Arith.CommRing.Semiring.casesOn", "Lean.Level", "Lean.Meta.Grind.Arith.CommRing.Semiring", "Lean.Grind.CommRing.Var", "Lean.Meta.Sym.instHashableExprPtr", "Nat", "Lean.Meta.Sym.ExprPtr", ...
false
_private.Lean.Meta.Tactic.Grind.Intro.0.Lean.Meta.Grind.intro1.match_4
Lean.Meta.Tactic.Grind.Intro
[ "Lean.MVarId", "Lean.FVarId", "Prod.mk", "Prod", "Prod.casesOn" ]
false
Lean.PrettyPrinter.Delaborator.Context.recOn
Lean.PrettyPrinter.Delaborator.Basic
[ "Lean.PrettyPrinter.Delaborator.OptionsPerPos", "Lean.PrettyPrinter.Delaborator.Context.rec", "Lean.PrettyPrinter.Delaborator.Context", "Lean.PrettyPrinter.Delaborator.Context.mk", "List", "Nat", "Bool", "Lean.Name", "Lean.SubExpr", "Lean.OpenDecl" ]
false
iInf_plift_down
Mathlib.Order.CompleteLattice.Basic
[ "iInf", "InfSet", "PLift", "PLift.down", "PLift.down_surjective", "Function.Surjective.iInf_congr", "Eq", "rfl" ]
true
CategoryTheory.Arrow.AugmentedCechNerve.extraDegeneracy
Mathlib.AlgebraicTopology.ExtraDegeneracy
[ "CategoryTheory.Arrow.AugmentedCechNerve.extraDegeneracy._proof_4", "CategoryTheory.Comma.right", "Opposite", "CategoryTheory.SimplicialObject.const", "CategoryTheory.Functor.category", "CategoryTheory.Comma.left", "CategoryTheory.Functor.id", "CategoryTheory.CategoryStruct.id", "CategoryTheory.Spli...
true
List.lex_eq_true_iff_lt._simp_1
Init.Data.List.Lex
[ "LawfulBEq", "List.instLT", "List.lex", "Bool.true", "List", "LT.lt", "propext", "Bool", "List.lex_eq_true_iff_lt", "Decidable.decide", "BEq", "Eq", "DecidableLT", "LT" ]
false
_private.Init.Data.String.Lemmas.Pattern.Pred.0.String.Slice.Pos.skipWhile.match_1.eq_2
Init.Data.String.Lemmas.Pattern.Pred
[ "Eq.mpr", "False", "Nat.ne_of_beq_eq_false", "Option.ctorIdx", "congrArg", "_private.Init.Data.String.Slice.0.String.Slice.Pos.skipWhile.match_1", "False.elim", "String.Slice.sliceFrom", "Nat.shiftRight", "Option.some", "String.Slice", "id", "Nat.hasNotBit", "Option.rec", "instOfNatNat",...
true
HomologicalComplex.homologicalComplexToDGO_map_f
Mathlib.Algebra.Homology.DifferentialObject
[ "CategoryTheory.Limits.HasZeroMorphisms", "HomologicalComplex.instCategory", "instHSMul", "HomologicalComplex.Hom.f", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "AddCommGroup.toAddCommMonoid", "HomologicalComplex.dgoToHomologicalComplex._proof_7", "AddGroupWithOne.toAddMonoidWithOne", ...
true
Lean.Meta.Grind.EMatch.checkSize
Lean.Meta.Tactic.Grind.EMatch
[ "Pure.pure", "StateT.run", "OptionT.run", "Lean.Meta.State", "Lean.Expr", "Lean.Meta.MetaM", "IO.RealWorld", "instOfNatNat", "Applicative.toPure", "Prod.fst", "Unit", "Lean.Core.CoreM", "Lean.Meta.instMonadMetaM", "StateRefT'", "StateRefT'.instMonad", "Nat", "Bool", "Monad.toBind",...
true
_private.Lean.Server.Completion.CompletionCollectors.0.Lean.Server.Completion.M
Lean.Server.Completion.CompletionCollectors
[ "_private.Lean.Server.Completion.CompletionCollectors.0.Lean.Server.Completion.State", "ReaderT", "Lean.Meta.MetaM", "IO.RealWorld", "Lean.Server.CancellableT", "StateRefT'", "_private.Lean.Server.Completion.CompletionCollectors.0.Lean.Server.Completion.Context" ]
true
TrivSqZeroExt.inl
Mathlib.Algebra.TrivSqZeroExt.Basic
[ "TrivSqZeroExt", "Prod.mk", "Zero.toOfNat0", "OfNat.ofNat", "Zero" ]
true
StieltjesFunction._sizeOf_inst
Mathlib.MeasureTheory.Measure.Stieltjes
[ "StieltjesFunction._sizeOf_1", "LinearOrder", "TopologicalSpace", "StieltjesFunction", "SizeOf.mk", "SizeOf" ]
false
AlgebraicTopology.DoldKan.PInfty
Mathlib.AlgebraicTopology.DoldKan.PInfty
[ "ChainComplex", "HomologicalComplex.instCategory", "AlgebraicTopology.DoldKan.PInfty._proof_2", "Nat.instOne", "HomologicalComplex.Hom.f", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "AddRightCancelSemigroup.toAddSemigroup", "AddCancelMonoid.toAddRightCancelMonoid", "Nat.instAddCancelC...
true
List.Perm.bagInter
Mathlib.Data.List.Perm.Lattice
[ "Eq.rec", "List.Perm", "List.Perm.bagInter_right", "instBEqOfDecidableEq", "List", "Eq", "List.bagInter", "List.Perm.bagInter_left", "DecidableEq" ]
true
Int8.toInt_minValue
Init.Data.SInt.Lemmas
[ "instPowNat", "Int8.minValue", "Int8.toInt", "Int.instNegInt", "instOfNatNat", "Int", "Int.instNatPow", "HPow.hPow", "instOfNat", "Nat", "instHPow", "OfNat.ofNat", "Eq", "Neg.neg", "rfl" ]
true
NNReal.sqrt_eq_iff_eq_sq
Mathlib.Data.Real.Sqrt
[ "PartialOrder.toPreorder", "Preorder.toLE", "OrderIso", "NNReal", "instOfNatNat", "LE.le", "Monoid.toPow", "NNReal.sqrt", "NNReal.instPartialOrder", "Iff", "HPow.hPow", "instFunLikeOrderIso", "Nat", "Semiring.toMonoid", "NNReal.instSemiring", "instHPow", "RelIso.toEquiv", "OfNat.of...
true
ENNReal.coe_inv
Mathlib.Data.ENNReal.Inv
[ "Iff.mpr", "Eq.mpr", "GroupWithZero.toMonoidWithZero", "MulOne.toOne", "le_refl", "ENNReal.ofNNReal", "DivInvMonoid.toInv", "HMul.hMul", "GroupWithZero.toDivInvMonoid", "mul_inv_cancel₀", "MulZeroClass.toMul", "congrArg", "CommSemiring.toSemiring", "CompletelyDistribLattice.toCompleteLatti...
true
CategoryTheory.Monoidal.CommMonFunctorCategoryEquivalence.inverse._proof_1
Mathlib.CategoryTheory.Monoidal.Internal.FunctorCategory
[ "CategoryTheory.CommMon.instCategory", "CategoryTheory.Monoidal.monFunctorCategoryEquivalence", "CategoryTheory.Functor", "CategoryTheory.CategoryStruct.toQuiver", "CategoryTheory.NatTrans.ext'", "Quiver.Hom", "CategoryTheory.MonoidalCategory", "CategoryTheory.Functor.category", "CategoryTheory.Func...
false
_private.Batteries.Data.List.Lemmas.0.List.getElem_filter_eq_getElem_getElem_findIdxs_sub._proof_1_14
Batteries.Data.List.Lemmas
[ "Nat.succ_lt_succ_iff", "Lean.Grind.nestedProof", "HSub.hSub", "Eq.rec", "Nat.sub_sub", "instSubNat", "instOfNatNat", "_private.Batteries.Data.List.Lemmas.0.List.getElem_filter_eq_getElem_getElem_findIdxs_sub._proof_1_11", "List.cons", "_private.Batteries.Data.List.Lemmas.0.List.getElem_filter_eq_...
false
_private.Mathlib.Data.Nat.Sqrt.0.Nat.sqrt_succ_le_succ_sqrt._proof_1_1
Mathlib.Data.Nat.Sqrt
[ "instPowNat", "Lean.RArray.leaf", "False", "Lean.Grind.CommRing.Mon.mult", "Lean.Grind.CommRing.Poly", "Lean.Grind.CommRing.Expr", "HMul.hMul", "Lean.Grind.CommRing.Expr.mul", "Nat.succ_eq_add_one", "Lean.Grind.CommRing.Poly.add", "Lean.Grind.CommRing.Expr.var", "congrArg", "Int.Linear.le_no...
false
Lean.Grind.AC.diseq_erase_dup
Init.Grind.AC
[ "Eq.mpr", "Lean.Grind.AC.Context.op", "congrArg", "Bool.and'_eq_and", "Lean.Grind.AC.Seq.eraseDup", "Lean.Grind.AC.Context", "Lean.Grind.AC.eq_erase_dup_cert", "Lean.Grind.AC.Seq.beq'", "id", "Bool.and", "Ne", "Lean.Grind.AC.Seq.denote", "imp_self._simp_1", "Bool.true", "And", "implies...
true
_private.Lean.Meta.Tactic.Grind.Arith.Cutsat.Nat.0.Lean.Meta.Grind.Arith.Cutsat.isNonneg
Lean.Meta.Tactic.Grind.Arith.Cutsat.Nat
[ "Inhabited.default", "Lean.Expr", "Lean.Meta.MetaM", "Lean.Meta.instInhabitedMetaM", "Bool" ]
true
_private.Mathlib.ModelTheory.Satisfiability.0.FirstOrder.Language.Theory.ModelsBoundedFormula.realize_sentence._simp_1_1
Mathlib.ModelTheory.Satisfiability
[ "FirstOrder.Language.Sentence.Realize", "FirstOrder.Language.Theory.model_iff", "Membership.mem", "FirstOrder.Language.Theory", "FirstOrder.Language.Theory.Model", "FirstOrder.Language.Structure", "propext", "FirstOrder.Language", "FirstOrder.Language.Sentence", "Eq", "Set.instMembership" ]
false
CategoryTheory.Limits.CategoricalPullback.CatCommSqOver.sndFunctor
Mathlib.CategoryTheory.Limits.Shapes.Pullback.Categorical.Basic
[ "CategoryTheory.Limits.CategoricalPullback.CatCommSqOver.Hom.snd", "CategoryTheory.Functor", "CategoryTheory.Limits.CategoricalPullback.CatCommSqOver.sndFunctor._proof_1", "CategoryTheory.Limits.CategoricalPullback.CatCommSqOver.sndFunctor._proof_2", "CategoryTheory.Limits.CategoricalPullback.CatCommSqOver....
true
FractionalIdeal.mul
Mathlib.RingTheory.FractionalIdeal.Basic
[ "CommRing", "CommSemiring.toSemiring", "Algebra", "MulZeroOneClass.toMulOneClass", "instMulZeroOneClassOfSemiring", "FractionalIdeal", "CommRing.toCommSemiring", "FractionalIdeal.wrapped._@.Mathlib.RingTheory.FractionalIdeal.Basic.1107666208._hygCtx._hyg.2", "Submonoid" ]
true
LucasLehmer.X.instRing._proof_7
Mathlib.NumberTheory.LucasLehmer
[ "Monoid", "Monoid.npow", "Semigroup.toMul", "HMul.hMul", "inferInstance", "instOfNatNat", "LucasLehmer.X.instMonoid", "instHAdd", "HAdd.hAdd", "Nat", "LucasLehmer.X", "Monoid.npow_succ", "Monoid.toSemigroup", "instAddNat", "OfNat.ofNat", "Eq", "instHMul" ]
false
_private.Lean.Data.Json.FromToJson.Basic.0.Option.toJson.match_1
Lean.Data.Json.FromToJson.Basic
[ "Unit.unit", "Option.casesOn", "Option.some", "Option.none", "Unit", "Option" ]
false
LieAlgebra.Orthogonal.invertiblePD._proof_2
Mathlib.Algebra.Lie.Classical
[ "Matrix.instMulOneOfFintypeOfDecidableEqOfAddCommMonoid", "CommRing", "instFintypeSum", "NonUnitalCommRing.toNonUnitalNonAssocCommRing", "CommRing.toNonUnitalCommRing", "CommSemiring.toSemiring", "Matrix", "instDecidableEqSum", "Sum", "NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring", "IsDedek...
false
AddOpposite.instVAdd.eq_1
Mathlib.Algebra.Opposites
[ "AddOpposite", "VAdd", "VAdd.mk", "HVAdd.hVAdd", "instHVAdd", "Eq.refl", "AddOpposite.unop", "AddOpposite.instVAdd", "Eq", "AddOpposite.op" ]
true
OrderMonoidIsoClass.toOrderMonoidIso.eq_1
Mathlib.Algebra.Order.Hom.Monoid
[ "Preorder.toLE", "MulOne.toMul", "MulEquivClass", "OrderIsoClass", "MulOneClass.toMulOne", "OrderMonoidIsoClass.toOrderMonoidIso._proof_1", "EquivLike", "OrderMonoidIso", "Eq.refl", "OrderMonoidIso.mk", "MulOneClass", "Eq", "MulEquivClass.toMulEquiv", "OrderMonoidIsoClass.toOrderMonoidIso"...
true
AddMonoidHom.addSubmonoidMap._proof_2
Mathlib.Algebra.Group.Submonoid.Operations
[ "Membership.mem", "Exists", "AddZeroClass.toAddZero", "Subtype", "AddSubmonoid", "AddSubmonoid.toAddZeroClass", "AddZero.toZero", "And", "AddZeroClass", "SetLike.coe", "And.intro", "Exists.intro", "Zero.toOfNat0", "AddMonoidHom", "AddMonoidHom.instFunLike", "OfNat.ofNat", "Subtype.va...
false
HasSubset.Subset.trans_ssubset
Mathlib.Order.RelClasses
[ "HasSSubset", "HasSSubset.SSubset", "ssubset_of_subset_of_ssubset", "HasSubset.Subset", "IsTrans", "HasSubset", "IsNonstrictStrictOrder" ]
true
_private.Mathlib.NumberTheory.Padics.Hensel.0.newton_seq_aux.match_1.eq_1
Mathlib.NumberTheory.Padics.Hensel
[ "Unit.unit", "instOfNatNat", "_private.Mathlib.NumberTheory.Padics.Hensel.0.newton_seq_aux.match_1", "Unit", "Nat", "Eq.refl", "OfNat.ofNat", "Nat.succ", "Eq" ]
true
Lean.Compiler.LCNF.LetValue.oproj.sizeOf_spec
Lean.Compiler.LCNF.Basic
[ "Lean.Compiler.LCNF.LetValue.oproj", "instSizeOfDefault", "Lean.Compiler.LCNF.LetValue", "Lean.FVarId._sizeOf_inst", "Lean.FVarId", "instOfNatNat", "Lean.Compiler.LCNF.Purity", "Lean.Compiler.LCNF.LetValue._auto_7", "autoParam", "instHAdd", "HAdd.hAdd", "Lean.Compiler.LCNF.Purity.impure", "N...
true
PointedCone.dual_neg
Mathlib.Geometry.Convex.Cone.Dual
[ "AddGroup.toSubtractionMonoid", "NegZeroClass.toNeg", "Submodule", "SubtractionMonoid.toInvolutiveNeg", "CommRing", "Algebra.to_smulCommClass", "NonUnitalCommRing.toNonUnitalNonAssocCommRing", "Semiring.toModule", "IsOrderedRing.toPosMulMono", "PointedCone.mem_dual._simp_1", "CommRing.toNonUnita...
true
_private.Mathlib.RingTheory.FractionalIdeal.Operations.0.FractionalIdeal.ringEquivOfRingEquiv._simp_7
Mathlib.RingTheory.FractionalIdeal.Operations
[ "Submodule", "CommRing", "NonUnitalCommRing.toNonUnitalNonAssocCommRing", "CommRing.toNonUnitalCommRing", "CommSemiring.toSemiring", "Algebra", "Membership.mem", "Algebra.toModule", "NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring", "MulZeroOneClass.toMulOneClass", "FractionalIdeal.instSetLike...
false
CategoryTheory.Limits.IsLimit.assoc_lift
Mathlib.CategoryTheory.Limits.Shapes.BinaryProducts
[ "CategoryTheory.Limits.BinaryFan.assocInv", "CategoryTheory.Limits.Cone", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "CategoryTheory.Limits.BinaryFan", "CategoryTheory.Limits.Cone.pt", "CategoryTheory.Limits.WalkingPair", "CategoryTheory.Limits.IsLimit.assoc", "CategoryTheory.Limits.IsL...
true
_private.Mathlib.Lean.Meta.RefinedDiscrTree.Initialize.0.Lean.Meta.RefinedDiscrTree.ImportErrorData.recOn
Mathlib.Lean.Meta.RefinedDiscrTree.Initialize
[ "_private.Mathlib.Lean.Meta.RefinedDiscrTree.Initialize.0.Lean.Meta.RefinedDiscrTree.ImportErrorData.rec", "_private.Mathlib.Lean.Meta.RefinedDiscrTree.Initialize.0.Lean.Meta.RefinedDiscrTree.ImportFailure", "_private.Mathlib.Lean.Meta.RefinedDiscrTree.Initialize.0.Lean.Meta.RefinedDiscrTree.ImportErrorData.mk"...
false
LinearMap.IsSymmetric.toSelfAdjoint._proof_1
Mathlib.Analysis.InnerProductSpace.Adjoint
[ "Iff.mpr", "ContinuousLinearMap.isSelfAdjoint_iff_isSymmetric", "InnerProductSpace.toNormedSpace", "IsSelfAdjoint", "CompleteSpace", "ContinuousLinearMap.instStarId", "AddCommGroup.toAddCommMonoid", "ContinuousLinearMap.mk", "NormedSpace.toModule", "PseudoMetricSpace.toUniformSpace", "NormedFiel...
false
Lean.instMonadRefOfMonadLiftOfMonadFunctor
Init.Prelude
[ "Lean.MonadRef.getRef", "monadFunctorRefl", "MonadFunctorT.monadMap", "instMonadLiftT", "Lean.Syntax", "MonadFunctor", "liftM", "Lean.MonadRef", "MonadLift", "Lean.MonadRef.mk", "instMonadFunctorTOfMonadFunctor", "instMonadLiftTOfMonadLift", "Lean.MonadRef.withRef" ]
true
Equiv.sumSigmaDistrib_apply
Mathlib.Logic.Equiv.Sum
[ "Equiv.instEquivLike", "Sum", "Equiv", "Equiv.sumSigmaDistrib.match_1", "Sum.inl", "Equiv.sumSigmaDistrib", "Sum.inr", "Eq.refl", "Sigma.mk", "Eq", "DFunLike.coe", "Sigma", "EquivLike.toFunLike" ]
true
CategoryTheory.Functor.instFaithfulOppositeTypeRestrictedULiftYonedaOfIsDense
Mathlib.CategoryTheory.Functor.KanExtension.Dense
[ "CategoryTheory.Functor.op", "Eq.mpr", "CategoryTheory.Functor", "Opposite", "CategoryTheory.Functor.LeftExtension.mk", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "congrArg", "CategoryTheory.ConcreteCategory.hom", "CategoryTheory.Functor.category", "CategoryTheory.Functor.rightUnito...
true
_private.Mathlib.Computability.TuringMachine.ToPartrec.0.Turing.PartrecToTM2.clear_ok._simp_1_14
Mathlib.Computability.TuringMachine.ToPartrec
[ "Option.instMembership", "Option.some", "Membership.mem", "propext", "Eq", "Option.mem_def", "Option" ]
false
hasSum_empty._simp_1
Mathlib.Topology.Algebra.InfiniteSum.Basic
[ "hasSum_empty", "AddMonoid.toAddZeroClass", "SummationFilter", "AddZeroClass.toAddZero", "IsEmpty", "AddCommMonoid", "TopologicalSpace", "AddZero.toZero", "HasSum", "True", "eq_true", "Zero.toOfNat0", "AddCommMonoid.toAddMonoid", "OfNat.ofNat", "Eq" ]
false
Lean.EnvExtension.AsyncMode.ctorElimType
Lean.Environment
[ "cond", "Lean.EnvExtension.AsyncMode.sync", "Lean.AsyncBranch", "Lean.EnvExtension.AsyncMode.local", "Nat.ble", "PULift", "Lean.EnvExtension.AsyncMode", "Nat", "Lean.EnvExtension.AsyncMode.mainOnly", "Lean.EnvExtension.AsyncMode.async" ]
false
Matroid.IsBase.dep_of_ssubset
Mathlib.Combinatorics.Matroid.Basic
[ "Matroid.Dep", "Matroid.IsBase.dep_of_ssubset._auto_1", "Matroid.E", "Matroid.IsBase.eq_of_subset_indep", "HasSSubset.SSubset", "Set.instHasSSubset", "Matroid.IsBase", "Matroid.Indep", "Set.instIsNonstrictStrictOrderSubsetSSubset", "HasSSubset.SSubset.subset", "HasSubset.Subset", "autoParam", ...
true
_private.Mathlib.RingTheory.Polynomial.Chebyshev.0.Polynomial.Chebyshev.U_eval_zero_of_odd._simp_1_1
Mathlib.RingTheory.Polynomial.Chebyshev
[ "Odd", "Int", "Even", "propext", "Int.instAdd", "Int.not_odd_iff_even", "Eq.symm", "Eq", "Not", "Int.instSemiring" ]
false
_private.Mathlib.AlgebraicGeometry.EllipticCurve.Jacobian.Basic.0.WeierstrassCurve.Jacobian.equiv_of_Z_eq_zero._simp_1_2
Mathlib.AlgebraicGeometry.EllipticCurve.Jacobian.Basic
[ "CommRing", "CommSemiring.toSemiring", "Fin.instOfNat", "instOfNatNat", "WeierstrassCurve.Jacobian.Equation", "WeierstrassCurve.Jacobian", "Monoid.toPow", "CommRing.toCommSemiring", "HPow.hPow", "Nat.instNeZeroSucc", "Nat", "WeierstrassCurve.Jacobian.equation_of_Z_eq_zero", "Semiring.toMonoi...
false