name
stringlengths
2
347
module
stringlengths
6
90
deps
listlengths
0
686
allowCompletion
bool
2 classes
Lean.Lsp.CreateFile.Options.casesOn
Lean.Data.Lsp.Basic
[ "Lean.Lsp.CreateFile.Options.rec", "Lean.Lsp.CreateFile.Options", "Bool", "Lean.Lsp.CreateFile.Options.mk" ]
false
Subsemigroup.coe_equivMapOfInjective_apply
Mathlib.Algebra.Group.Subsemigroup.Operations
[ "MulHom", "MulEquiv.instEquivLike", "Subsemigroup.map", "Subsemigroup.instMulMemClass", "Mul", "Membership.mem", "Subtype", "MulMemClass.mul", "Subsemigroup", "MulHom.funLike", "MulEquiv", "Subsemigroup.equivMapOfInjective", "Function.Injective", "Subsemigroup.instSetLike", "Subtype.val"...
true
CategoryTheory.bicategoricalIsoComp
Mathlib.Tactic.CategoryTheory.BicategoricalComp
[ "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "CategoryTheory.Iso", "CategoryTheory.Bicategory.toCategoryStruct", "CategoryTheory.BicategoricalCoherence", "CategoryTheory.Bicategory", "CategoryTheory.BicategoricalCoherence.iso", "CategoryTheory.Iso.trans", "CategoryTheory.Bicategory.homCat...
true
SchwartzMap.bilinLeftCLM._proof_13
Mathlib.Analysis.Distribution.SchwartzSpace.Basic
[ "Real", "NormedSpace", "Real.denselyNormedField", "AddCommGroup.toAddCommMonoid", "NormedSpace.toModule", "NormedField.toField", "Field.toCommRing", "smulCommClass_self", "CommMonoid.toMonoid", "SeminormedAddCommGroup.toAddCommGroup", "Monoid.toSemigroup", "NontriviallyNormedField.toNormedFiel...
false
Std.TreeMap.Equiv.keyAtIdx_eq
Std.Data.TreeMap.Lemmas
[ "Std.TreeMap.Equiv", "Std.TreeMap.Equiv.inner", "Std.TreeMap.inner", "Std.TreeMap.Equiv.size_eq", "Ordering", "Eq.rec", "Std.TransCmp", "Std.DTreeMap.Equiv.keyAtIdx_eq", "Nat", "Std.TreeMap.keyAtIdx", "LT.lt", "Std.TreeMap.size", "instLTNat", "Eq", "Std.TreeMap" ]
true
_private.Mathlib.LinearAlgebra.SpecialLinearGroup.0.SpecialLinearGroup.centerEquivRootsOfUnity_invFun._simp_4
Mathlib.LinearAlgebra.SpecialLinearGroup
[ "LinearMap.id", "LinearEquiv.det", "CommRing", "instHSMul", "MonoidHom.instFunLike", "SpecialLinearGroup.mem_center_iff", "MonoidHom", "Monoid.toMulOneClass", "CommSemiring.toSemiring", "DistribMulAction.toDistribSMul", "AddCommGroup.toAddCommMonoid", "SpecialLinearGroup", "AddGroupWithOne.t...
false
IndepMatroid.matroid_indep_iff._simp_1
Mathlib.Combinatorics.Matroid.IndepAxioms
[ "Matroid.Indep", "IndepMatroid.matroid", "IndepMatroid", "propext", "Eq", "IndepMatroid.Indep", "IndepMatroid.matroid_indep_iff", "Set" ]
false
_private.Mathlib.Data.Num.Lemmas.0.PosNum.testBit.match_1.eq_2
Mathlib.Data.Num.Lemmas
[ "PosNum.casesOn", "Eq.mpr", "Unit.unit", "False", "congrArg", "PosNum.bit1", "id", "instOfNatNat", "dif_neg", "dite", "PosNum.bit0", "Unit", "Nat", "Eq.ndrec_symm", "Eq.refl", "congrFun'", "instDecidableEqNat", "PosNum", "OfNat.ofNat", "Nat.succ", "Eq", "Not", "Nat.casesO...
true
Real.casesOn
Mathlib.Data.Real.Basic
[ "Real", "Real.rec", "abs", "IsAbsoluteValue.abs_isAbsoluteValue", "Rat", "CauSeq.Completion.Cauchy", "Rat.linearOrder", "Real.ofCauchy", "Rat.instLattice", "Rat.instDivisionRing", "DivisionRing.toRing", "Rat.instField", "Rat.instIsStrictOrderedRing", "Rat.addGroup" ]
false
CategoryTheory.Limits.colimitObjIsoColimitCompEvaluation_ι_app_hom_assoc
Mathlib.CategoryTheory.Limits.FunctorCategory.Basic
[ "CategoryTheory.Category.assoc", "CategoryTheory.Functor.flip", "CategoryTheory.Functor", "CategoryTheory.Limits.hasColimitOfHasColimitsOfShape", "CategoryTheory.Limits.HasColimitsOfShape", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "CategoryTheory.Limits.hasColimitCompEvaluation", "con...
true
CategoryTheory.MonoidalCategory.tensorRightTensor._proof_1
Mathlib.CategoryTheory.Monoidal.Category
[ "CategoryTheory.Category.assoc", "CategoryTheory.CategoryStruct.toQuiver", "CategoryTheory.MonoidalCategory.whiskerRight_tensor", "Quiver.Hom", "congrArg", "CategoryTheory.MonoidalCategory", "CategoryTheory.Functor.comp", "CategoryTheory.CategoryStruct.id", "CategoryTheory.Iso.hom_inv_id", "Catego...
false
MeasureTheory.Measure.withDensityᵥ._proof_2
Mathlib.MeasureTheory.VectorMeasure.WithDensity
[ "Eq.mpr", "Real", "MeasureTheory.Measure", "MeasurableSet", "NormedSpace", "CompleteLattice.instOmegaCompletePartialOrder", "Function.onFun", "CompleteBooleanAlgebra.toCompleteDistribLattice", "congrArg", "HEq.refl", "SummationFilter", "PseudoMetricSpace.toUniformSpace", "Classical.propDecid...
false
Finsupp.mapDomain_support_of_injective
Mathlib.Data.Finsupp.Basic
[ "Finsupp.mapDomain_support_of_injOn", "Function.Injective.injOn", "Finset", "Finsupp.mapDomain", "AddMonoid.toAddZeroClass", "Finsupp.support", "AddZeroClass.toAddZero", "AddCommMonoid", "AddZero.toZero", "SetLike.coe", "Finset.instSetLike", "AddCommMonoid.toAddMonoid", "Function.Injective",...
true
Fin.dfoldlM_zero
Batteries.Data.Fin.Fold
[ "Pure.pure", "of_eq_false", "instNeZeroNatHAdd_1", "Fin.dfoldlM", "Fin.succ", "congrArg", "Monad.toApplicative", "Nat.succ_lt_succ", "Nat.zero_lt_succ", "cast", "Fin.mk", "Fin.dfoldlM.loop._proof_1", "Fin.instOfNat", "instOfNatNat", "Applicative.toPure", "dite", "instHAdd", "HAdd.h...
true
HasProdLocallyUniformlyOn.mono
Mathlib.Topology.Algebra.InfiniteSum.UniformOn
[ "UniformSpace", "Finset", "PartialOrder.toPreorder", "HasSubset.Subset", "Finset.partialOrder", "Finset.prod", "Filter.atTop", "TopologicalSpace", "TendstoLocallyUniformlyOn.mono", "HasProdLocallyUniformlyOn", "CommMonoid", "Set.instHasSubset", "Set" ]
true
AlgEquiv.uniqueProd_apply
Mathlib.Algebra.Algebra.Prod
[ "Unique", "Algebra", "Prod.instSemiring", "Prod.algebra", "CommSemiring", "AlgEquiv", "Semiring", "Eq.refl", "Prod", "Eq", "Prod.snd", "DFunLike.coe", "AlgEquiv.instFunLike", "AlgEquiv.uniqueProd" ]
true
Finset.card_le_card_of_forall_subsingleton
Mathlib.Combinatorics.Enumerative.DoubleCounting
[ "Iff.mpr", "Eq.mpr", "MulOne.toOne", "HMul.hMul", "Finset.coe_nonempty", "congrArg", "Finset", "setOf", "Finset.bipartiteAbove", "Nat.instMulOneClass", "Classical.propDecidable", "Finset.coe_bipartiteAbove", "Membership.mem", "Exists", "id", "MulOne.toMul", "Finset.card_le_one", "i...
true
Affine.Triangle.prod_div_one_sub_eq_one_of_mem_line_point_lineMap
Mathlib.LinearAlgebra.AffineSpace.Ceva
[ "CommMonoidWithZero.toCommMonoid", "Iff.mpr", "Eq.mpr", "instNeZeroNatHAdd_1", "Affine.Simplex.points", "IsDomain.to_noZeroDivisors", "instHDiv", "NonUnitalCommRing.toNonUnitalNonAssocCommRing", "Semiring.toModule", "GroupWithZero.toDivisionMonoid", "AffineMap.instFunLike", "InvOneClass.toOne"...
true
Lean.FromJson.ctorIdx
Lean.Data.Json.FromToJson.Basic
[ "Lean.FromJson", "Nat" ]
false
Finsupp.instAddCommGroup._proof_1
Mathlib.Algebra.Group.Finsupp
[ "Finsupp.instFunLike", "instHSMul", "AddMonoid.toAddSemigroup", "AddCommGroup.toAddCommMonoid", "AddMonoid.toAddZeroClass", "AddCommGroup.toAddGroup", "AddCommGroup", "SubtractionMonoid.toSubNegZeroMonoid", "SubNegZeroMonoid.toSubNegMonoid", "SubNegZeroMonoid.toNegZeroClass", "SubtractionCommMon...
false
Lean.Elab.Tactic.GuardExpr.MatchKind.syntactic.elim
Lean.Elab.Tactic.Guard
[ "Lean.Elab.Tactic.GuardExpr.MatchKind.ctorElim", "PULift.up", "Lean.Elab.Tactic.GuardExpr.MatchKind", "Lean.Elab.Tactic.GuardExpr.MatchKind.syntactic", "Lean.Elab.Tactic.GuardExpr.MatchKind.ctorIdx", "Nat", "Eq.symm", "Eq" ]
false
_private.Mathlib.Order.Partition.Finpartition.0.Finpartition.ofExistsUnique._simp_1
Mathlib.Order.Partition.Finpartition
[ "Finset", "Set.PairwiseDisjoint", "PartialOrder.toPreorder", "Preorder.toLE", "OrderBot", "SemilatticeInf.toPartialOrder", "Finset.supIndep_iff_pairwiseDisjoint", "DistribLattice.toLattice", "DistribLattice", "SetLike.coe", "Finset.instSetLike", "propext", "Finset.SupIndep", "Eq", "Latti...
false
UniformEquiv.coe_prodCongr
Mathlib.Topology.UniformSpace.Equiv
[ "UniformSpace", "instUniformSpaceProd", "UniformEquiv.prodCongr", "UniformEquiv.instEquivLike", "Prod.map", "Prod", "Eq", "DFunLike.coe", "UniformEquiv", "rfl", "EquivLike.toFunLike" ]
true
AddMonoidHom.toAddEquiv.congr_simp
Mathlib.Algebra.Colimit.Module
[ "AddMonoidHom.id", "Eq.rec", "AddZeroClass.toAddZero", "AddZeroClass", "Eq.ndrec", "AddEquiv", "AddZero.toAdd", "Eq.refl", "AddMonoidHom", "Eq", "AddMonoidHom.comp", "AddMonoidHom.toAddEquiv" ]
true
Lean.Meta.Grind.Arith.Linear.EqCnstr.collectDecVars._unsafe_rec
Lean.Meta.Tactic.Grind.Arith.Linear.Proof
[ "Pure.pure", "Unit.unit", "Lean.Meta.Grind.Arith.Linear.LinExpr", "Lean.Grind.CommRing.Poly", "Lean.Grind.CommRing.Expr", "Lean.Meta.Grind.Arith.Linear.EqCnstr", "Lean.Meta.Grind.Arith.CollectDecVars.CollectDecVarsM", "Lean.Meta.Grind.Arith.CollectDecVars.alreadyVisited", "ReaderT.instMonad", "Lea...
false
Std.Time.Nanosecond.instLEOffset._aux_1
Std.Time.Time.Unit.Nanosecond
[ "Rat.instOfNat", "instHDiv", "Rat", "Std.Time.Internal.UnitVal", "HDiv.hDiv", "Int", "LE.le", "Std.Time.Internal.UnitVal.val", "Std.Time.Nanosecond.Offset", "OfNat.ofNat", "Rat.instDiv", "Int.instLEInt" ]
false
Finsupp.equivFunOnFinite_single
Mathlib.Data.Finsupp.Single
[ "Equiv.instEquivLike", "congrArg", "Finite", "Finsupp.equivFunOnFinite", "Equiv", "Pi.single", "True", "eq_self", "of_eq_true", "congrFun'", "Finsupp.single_eq_pi_single", "Eq", "DFunLike.coe", "Finsupp", "Eq.trans", "EquivLike.toFunLike", "DecidableEq", "Finsupp.single", "Zero" ...
true
CategoryTheory.Functor.ranCounit._proof_2
Mathlib.CategoryTheory.Functor.KanExtension.Adjunction
[ "CategoryTheory.Functor.liftOfIsRightKanExtension_fac", "CategoryTheory.Functor", "CategoryTheory.CategoryStruct.toQuiver", "CategoryTheory.NatTrans.ext'", "Quiver.Hom", "CategoryTheory.Functor.ran._proof_1", "congrArg", "CategoryTheory.Functor.category", "CategoryTheory.Functor.rightKanExtensionCou...
false
CategoryTheory.ShortComplex.SnakeInput.L₀'._proof_1
Mathlib.Algebra.Homology.ShortComplex.SnakeLemma
[ "CategoryTheory.Abelian.toPreadditive", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "congrArg", "CategoryTheory.ShortComplex.SnakeInput.L₀", "CategoryTheory.ShortComplex.SnakeInput", "CategoryTheory.ShortComplex.X₁", "CategoryTheory.Abelian", "CategoryTheory.ShortComplex.SnakeInput.v₀₁",...
false
AddSubgroup.instMeasurableVAdd
Mathlib.MeasureTheory.Group.Arithmetic
[ "AddMonoid.toAddSemigroup", "AddSubgroup.toAddGroup", "Membership.mem", "Subtype", "AddSubgroup", "MeasurableSpace", "AddAction", "AddAction.toAddSemigroupAction", "AddGroup", "AddSemigroupAction.toVAdd", "AddGroup.toSubNegMonoid", "AddSubgroup.instSetLike", "Subtype.instMeasurableSpace", ...
true
Complex.ofReal_exp._simp_1
Mathlib.Analysis.Complex.Exponential
[ "Real", "Complex.ofReal_exp", "Real.exp", "Complex.ofReal", "Complex.exp", "Complex", "Eq.symm", "Eq" ]
false
ContravariantClass.mk._flat_ctor
Mathlib.Algebra.Order.Monoid.Unbundled.Defs
[ "ContravariantClass.mk", "Contravariant", "ContravariantClass" ]
false
Lean.Elab.Tactic.evalWithAnnotateState._regBuiltin.Lean.Elab.Tactic.evalWithAnnotateState_1
Lean.Elab.Tactic.BuiltinTactic
[ "Lean.Elab.Tactic.tacticElabAttribute", "IO", "Unit", "Lean.Elab.Tactic.Tactic", "Lean.Elab.Tactic.evalWithAnnotateState", "Lean.Name.mkStr4", "Lean.KeyedDeclsAttribute.addBuiltin" ]
false
SubmonoidClass.coe_multiset_prod
Mathlib.Algebra.Group.Submonoid.BigOperators
[ "SetLike", "Multiset.map", "Monoid.toMulOneClass", "Multiset.prod", "Membership.mem", "Multiset", "Subtype", "SubmonoidClass.subtype", "CommMonoid.toMonoid", "MonoidHom.map_multiset_prod", "SubmonoidClass", "Subtype.val", "Eq", "CommMonoid", "SubmonoidClass.toCommMonoid", "SetLike.inst...
true
instBooleanAlgebraSubtypeProdAndEqHMulFstSndOfNatHAdd._proof_15
Mathlib.Algebra.Order.Ring.Idempotent
[ "NonAssocSemiring.toAddCommMonoidWithOne", "MulOne.toOne", "HMul.hMul", "Monoid.toMulOneClass", "CommSemiring.toSemiring", "Compl.compl", "AddMonoid.toAddZeroClass", "instSemilatticeSupSubtypeProdAndEqHMulFstSndOfNatHAdd", "NonUnitalNonAssocSemiring.toMulZeroClass", "AddZeroClass.toAddZero", "Se...
false
MeasureTheory.measure_biUnion_le
Mathlib.MeasureTheory.OuterMeasure.Basic
[ "Eq.mpr", "ENNReal.instAddCommMonoid", "congrArg", "PartialOrder.toPreorder", "Preorder.toLE", "Membership.mem", "Set.Elem", "id", "LE.le", "MeasureTheory.measure_iUnion_le", "tsum", "ENNReal", "Countable", "Set.biUnion_eq_iUnion", "ENNReal.instPartialOrder", "Set.Countable.to_subtype"...
true
Bool.eq_true_of_true_le
Init.Data.Bool
[ "Bool.instDecidableForallOfDecidablePred", "of_decide_eq_true", "id", "instDecidableEqBool", "LE.le", "Bool.true", "Bool.instLE", "instDecidableForall", "Bool", "Eq.refl", "Bool.instDecidableLe", "Decidable.decide", "Eq" ]
true
Lean.Grind.AC.Seq.isVar
Lean.Meta.Tactic.Grind.AC.Seq
[ "Bool.true", "Bool", "_private.Lean.Meta.Tactic.Grind.AC.Seq.0.Lean.Grind.AC.Seq.isVar.match_1", "Lean.Grind.AC.Var", "Lean.Grind.AC.Seq", "Bool.false" ]
true
CochainComplex.HomComplex.Cochain.toSingleMk_v_eq_zero
Mathlib.Algebra.Homology.HomotopyCategory.HomComplexSingle
[ "HomologicalComplex.instCategory", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "CochainComplex.singleFunctor", "AddGroupWithOne.toAddMonoidWithOne", "AddRightCancelSemigroup.toAddSemigroup", "AddCancelMonoid.toAddRightCancelMonoid", "HomologicalComplex", "Int.instDecidableEq", "Ne", ...
true
List.extract_eq_drop_take
Init.Data.List.Basic
[ "HSub.hSub", "instSubNat", "List", "instHSub", "List.extract_eq_take_drop", "List.drop", "List.extract", "Nat", "Eq", "List.take" ]
true
_private.Std.Tactic.BVDecide.Bitblast.BVExpr.Basic.0.Std.Tactic.BVDecide.BVExpr.toString.match_1.eq_1
Std.Tactic.BVDecide.Bitblast.BVExpr.Basic
[ "Std.Tactic.BVDecide.BVExpr.extract", "HMul.hMul", "Std.Tactic.BVDecide.BVExpr.bin", "Std.Tactic.BVDecide.BVBinOp", "Std.Tactic.BVDecide.BVUnOp", "BitVec", "instMulNat", "Std.Tactic.BVDecide.BVExpr.shiftLeft", "instHAdd", "Std.Tactic.BVDecide.BVExpr.arithShiftRight", "Std.Tactic.BVDecide.BVExpr....
true
Manifold.wrapped._@.Mathlib.Geometry.Manifold.Riemannian.PathELength.2732887573._hygCtx._hyg.75
Mathlib.Geometry.Manifold.Riemannian.PathELength
[ "Real", "NormedSpace", "_private.Mathlib.Geometry.Manifold.Riemannian.PathELength.0.Manifold.wrapped._proof_1._@.Mathlib.Geometry.Manifold.Riemannian.PathELength.2732887573._hygCtx._hyg.75", "Real.denselyNormedField", "Manifold.definition._@.Mathlib.Geometry.Manifold.Riemannian.PathELength.2732887573._hygCt...
false
FirstOrder.Language.Embedding.substructureEquivMap.match_3
Mathlib.ModelTheory.Substructures
[ "Subtype.casesOn", "Membership.mem", "FirstOrder.Language.Substructure.instSetLike", "Subtype", "FirstOrder.Language.Embedding", "FirstOrder.Language.Substructure", "Subtype.mk", "FirstOrder.Language.Structure", "FirstOrder.Language", "SetLike.instMembership", "FirstOrder.Language.Embedding.toHo...
false
Std.ExtHashMap.getKey_insertManyIfNewUnit_list_of_not_mem_of_mem
Std.Data.ExtHashMap.Lemmas
[ "List.Pairwise", "instForInOfForIn'", "Std.ExtDHashMap.Const.getKey_insertManyIfNewUnit_list_of_not_mem_of_mem", "Std.ExtHashMap.inner", "Membership.mem", "inferInstance", "Std.ExtHashMap.insertManyIfNewUnit", "Id", "Membership", "LawfulHashable", "Std.ExtHashMap", "Bool.true", "List", "BE...
true
Polynomial.Separable.of_mul_right
Mathlib.FieldTheory.Separable
[ "HMul.hMul", "CommSemiring.toNonUnitalCommSemiring", "congrArg", "CommSemiring.toSemiring", "Eq.mp", "Polynomial.Separable.of_mul_left", "CommMagma.toMul", "NonUnitalCommSemiring.toNonUnitalNonAssocCommSemiring", "Polynomial", "CommSemiring", "NonUnitalNonAssocCommSemiring.toCommMagma", "mul_c...
true
_private.Init.Data.Iterators.Lemmas.Combinators.Monadic.FilterMap.0.Std.IterM.step_filterMapM.match_1.splitter
Init.Data.Iterators.Lemmas.Combinators.Monadic.FilterMap
[ "Option.some", "Subtype", "Subtype.mk", "Option.none", "MonadAttach", "Std.IterM.step_filterMapM.match_1", "MonadAttach.CanReturn", "Option" ]
true
CategoryTheory.CommMon.EquivLaxBraidedFunctorPUnit.laxBraidedToCommMon._proof_2
Mathlib.CategoryTheory.Monoidal.CommMon_
[ "CategoryTheory.CommMon.instCategory", "CategoryTheory.Functor", "CategoryTheory.LaxBraidedFunctor.toFunctor", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "CategoryTheory.CommMon.trivial", "CategoryTheory.MonoidalCategory", "CategoryTheory.instBraidedCategoryDiscrete", "CategoryTheory.Fu...
false
Lean.CollectAxioms.State.axioms
Lean.Util.CollectAxioms
[ "Lean.CollectAxioms.State", "Array", "Lean.Name" ]
true
_private.Std.Data.DTreeMap.Internal.Lemmas.0.Std.DTreeMap.Internal.Impl.mem_of_mem_insertIfNew._simp_1_1
Std.Data.DTreeMap.Internal.Lemmas
[ "Ord", "Membership.mem", "Bool.true", "Std.DTreeMap.Internal.Impl.contains", "propext", "Bool", "Std.DTreeMap.Internal.Impl.mem_iff_contains", "Eq", "Std.DTreeMap.Internal.Impl", "Std.DTreeMap.Internal.Impl.instMembershipOfOrd" ]
false
SemidirectProduct.card
Mathlib.GroupTheory.SemidirectProduct
[ "HMul.hMul", "MonoidHom", "Monoid.toMulOneClass", "SemidirectProduct", "MulAut.instGroup", "Group", "Eq.rec", "MulAut", "MulOne.toMul", "Nat.card", "DivInvMonoid.toMonoid", "instMulNat", "Group.toDivInvMonoid", "Nat.card_congr", "MulOneClass.toMulOne", "SemidirectProduct.equivProd", ...
true
_private.Mathlib.Analysis.Normed.Module.RCLike.Real.0.closure_ball._simp_1_1
Mathlib.Analysis.Normed.Module.RCLike.Real
[ "One", "ZeroLEOneClass", "LE.le", "LE", "zero_le_one", "True", "eq_true", "One.toOfNat1", "Zero.toOfNat0", "OfNat.ofNat", "Eq", "Zero" ]
false
Invertible.algebraMapOfInvertibleAlgebraMap._proof_2
Mathlib.Algebra.Algebra.Basic
[ "Eq.mpr", "NonAssocSemiring.toAddCommMonoidWithOne", "instHSMul", "SemilinearMapClass.toMulActionSemiHomClass", "HMul.hMul", "congrArg", "CommSemiring.toSemiring", "Invertible.mul_invOf_self", "LinearMap.instFunLike", "Invertible.invOf", "Algebra", "RingHom", "Algebra.toSMul", "algebraMap"...
false
NNReal.coe_add._simp_1
Mathlib.Data.NNReal.Defs
[ "Real", "NNReal.coe_add", "Distrib.toAdd", "NNReal", "Real.instAdd", "instHAdd", "HAdd.hAdd", "NonAssocSemiring.toNonUnitalNonAssocSemiring", "NNReal.instSemiring", "NonUnitalNonAssocSemiring.toDistrib", "Eq.symm", "Semiring.toNonAssocSemiring", "Eq", "NNReal.toReal" ]
false
_private.Batteries.Data.Array.Scan.0.Array.scanrM.loop_toList._proof_1_2
Batteries.Data.Array.Scan
[ "False", "Lean.Omega.Constraint.not_sat'_of_isImpossible", "of_decide_eq_true", "le_of_le_of_eq", "Lean.Omega.Constraint.mk", "Lean.Omega.Constraint.combine_sat'", "Int.add_one_le_of_lt", "HSub.hSub", "Lean.Omega.Int.ofNat_sub_dichotomy", "Lean.Omega.Int.add_congr", "Lean.Omega.LinearCombo.eval"...
false
HomotopyCategory.spectralObjectMappingCone._proof_5
Mathlib.Algebra.Homology.HomotopyCategory.SpectralObject
[ "Eq.mpr", "CochainComplex.mappingConeCompTriangle._proof_4", "Int.instAddCommMonoid", "CategoryTheory.Category.assoc", "instNeZeroNatHAdd_1", "CategoryTheory.Functor", "Int.instIsStrictOrderedRing", "HomologicalComplex.instCategory", "CochainComplex.mappingConeCompTriangle._proof_3", "CategoryTheo...
false
MeasureTheory.VectorMeasure.instAddCommGroup._proof_3
Mathlib.MeasureTheory.VectorMeasure.Basic
[ "AddCommGroup.toAddGroup", "AddCommGroup", "Int", "ContinuousConstSMul", "TopologicalSpace", "AddGroup.continuousConstSMul_int", "AddGroup.toSubNegMonoid", "IsTopologicalAddGroup", "SubNegMonoid.toZSMul" ]
false
AlgebraicGeometry.Scheme.GlueData.instPreservesColimitWalkingMultispanProdJMultispanDiagramForget
Mathlib.AlgebraicGeometry.Gluing
[ "CategoryTheory.GlueData.diagram", "AlgebraicGeometry.Scheme.GlueData", "CategoryTheory.Limits.MultispanShape.prod", "AlgebraicGeometry.Scheme", "CategoryTheory.Limits.WalkingMultispan", "_private.Mathlib.AlgebraicGeometry.Gluing.0.AlgebraicGeometry.Scheme.GlueData.instPreservesColimitWalkingMultispanProd...
true
Lean.MonadNameGenerator.setNGen
Init.Meta.Defs
[ "Lean.MonadNameGenerator", "Unit", "Lean.NameGenerator" ]
true
_private.Init.Data.String.Lemmas.Pattern.String.ForwardSearcher.0.String.Slice.Pattern.Model.ForwardSliceSearcher.partialMatch_add_one_add_one_iff._proof_1_9
Init.Data.String.Lemmas.Pattern.String.ForwardSearcher
[ "False", "Lean.Omega.Constraint.not_sat'_of_isImpossible", "Int.natCast_add", "of_decide_eq_true", "le_of_le_of_eq", "Lean.Omega.Constraint.mk", "Lean.Omega.Constraint.combine_sat'", "HSub.hSub", "Lean.Omega.Int.add_congr", "Lean.Omega.LinearCombo.eval", "Option.some", "id", "instDecidableEq...
false
Std.Sat.AIG.Entrypoint.ref
Std.Sat.AIG.Basic
[ "Std.Sat.AIG.Entrypoint.aig", "Std.Sat.AIG.Entrypoint", "Std.Sat.AIG.Ref", "Hashable", "DecidableEq" ]
true
Aesop.PhaseSpec.ctorIdx
Aesop.Builder.Basic
[ "Aesop.SafeRuleInfo", "Aesop.UnsafeRuleInfo", "Aesop.PhaseSpec.casesOn", "Nat", "Aesop.PhaseSpec", "Aesop.NormRuleInfo" ]
false
_private.Std.Tactic.BVDecide.LRAT.Internal.Formula.RatAddSound.0.Std.Tactic.BVDecide.LRAT.Internal.DefaultFormula.existsRatHint_of_ratHintsExhaustive._proof_1_27
Std.Tactic.BVDecide.LRAT.Internal.Formula.RatAddSound
[ "Lean.Grind.Nat.lt_eq", "instOfNatNat", "LE.le", "instLENat", "Std.Tactic.BVDecide.LRAT.Internal.DefaultFormula", "instHAdd", "HAdd.hAdd", "Nat", "LT.lt", "Eq.substr", "instAddNat", "instLTNat", "Std.Tactic.BVDecide.LRAT.Internal.DefaultClause", "OfNat.ofNat", "Array.size", "Std.Tactic...
false
CategoryTheory.MonoidalCategory.DayConvolution.mk._flat_ctor
Mathlib.CategoryTheory.Monoidal.DayConvolution
[ "CategoryTheory.Functor", "CategoryTheory.MonoidalCategory.DayConvolution", "CategoryTheory.Functor.LeftExtension.mk", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "CategoryTheory.MonoidalCategory", "CategoryTheory.Functor.category", "CategoryTheory.MonoidalCategory.tensor", "CategoryTheo...
false
IsCoinitial
Mathlib.Order.Bounds.Defs
[ "Membership.mem", "Exists", "LE.le", "LE", "And", "Set.instMembership", "Set" ]
true
Mathlib.Tactic.BicategoryLike.MonadNormalizeNaturality.mkNaturalityRightUnitor
Mathlib.Tactic.CategoryTheory.Coherence.PureCoherence
[ "Mathlib.Tactic.BicategoryLike.MonadNormalizeNaturality", "Mathlib.Tactic.BicategoryLike.NormalizedHom", "Mathlib.Tactic.BicategoryLike.Mor₂Iso", "Lean.Expr", "Mathlib.Tactic.BicategoryLike.Mor₁" ]
true
Lean.Lsp.DependencyBuildMode.recOn
Lean.Data.Lsp.Extra
[ "Lean.Lsp.DependencyBuildMode.once", "Lean.Lsp.DependencyBuildMode.always", "Lean.Lsp.DependencyBuildMode.never", "Lean.Lsp.DependencyBuildMode", "Lean.Lsp.DependencyBuildMode.rec" ]
false
_private.Mathlib.NumberTheory.LucasLehmer.0.Mathlib.Meta.Positivity.evalMersenne._sparseCasesOn_4
Mathlib.NumberTheory.LucasLehmer
[ "Mathlib.Meta.Positivity.Strictness", "Nat.ne_of_beq_eq_false", "Lean.Expr.const", "Nat.shiftRight", "Nat.hasNotBit", "instOfNatNat", "Lean.Expr.sort", "Lean.Level", "List.cons", "Mathlib.Meta.Positivity.Strictness.rec", "Mathlib.Meta.Positivity.Strictness.nonnegative", "Lean.Literal.natVal", ...
false
TopCat.GlueData.MkCore.mk.sizeOf_spec
Mathlib.Topology.Gluing
[ "Lattice.toSemilatticeSup", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "CompleteLattice.toLattice", "TopologicalSpace.Opens.instCompleteLattice", "TopologicalSpace.Opens.instPartialOrder", "CategoryTheory.ConcreteCategory.hom", "TopCat.instCategory", "ContinuousMap", "PartialOrder.toP...
true
CategoryTheory.Functor.PreOneHypercoverDenseData.toPreOneHypercover_Y
Mathlib.CategoryTheory.Sites.DenseSubsite.OneHypercoverDense
[ "CategoryTheory.Functor", "CategoryTheory.Functor.PreOneHypercoverDenseData.I₁", "CategoryTheory.Functor.PreOneHypercoverDenseData", "CategoryTheory.PreOneHypercover.Y", "CategoryTheory.Functor.PreOneHypercoverDenseData.toPreOneHypercover", "Eq.refl", "Eq", "CategoryTheory.Functor.PreOneHypercoverDens...
true
GroupCone.mem_oneLE._simp_2
Mathlib.Algebra.Order.Group.Cone
[ "InvOneClass.toOne", "DivisionCommMonoid.toDivisionMonoid", "DivInvOneMonoid.toInvOneClass", "IsOrderedMonoid", "GroupCone.instSetLike", "PartialOrder.toPreorder", "Preorder.toLE", "Membership.mem", "DivisionMonoid.toDivInvOneMonoid", "GroupCone.mem_oneLE", "PartialOrder", "LE.le", "CommGrou...
false
PFun.restrict
Mathlib.Data.PFun
[ "PFun", "Part.restrict", "Membership.mem", "HasSubset.Subset", "PFun.Dom", "Set.instMembership", "Set.instHasSubset", "Set" ]
true
symmDiff_eq_bot._simp_1
Mathlib.Order.SymmDiff
[ "Lattice.toSemilatticeSup", "OrderBot.toBot", "PartialOrder.toPreorder", "GeneralizedCoheytingAlgebra", "Preorder.toLE", "SemilatticeSup.toMax", "Bot.bot", "GeneralizedCoheytingAlgebra.toOrderBot", "symmDiff_eq_bot", "propext", "GeneralizedCoheytingAlgebra.toLattice", "SemilatticeSup.toPartial...
false
Std.DTreeMap.Internal.Impl.balanceL.match_3.congr_eq_3
Std.Data.DTreeMap.Internal.Balancing
[ "Std.DTreeMap.Internal.Impl.balanceL.match_3", "Std.DTreeMap.Internal.Impl.casesOn", "Std.DTreeMap.Internal.Impl.Balanced", "HEq.homo_ndrec", "Std.DTreeMap.Internal.Impl.size", "Std.DTreeMap.Internal.Impl.inner", "id", "Std.DTreeMap.Internal.Impl.BalanceLPrecond", "heq_of_eq", "Std.DTreeMap.Intern...
true
Std.Sat.AIG.ExtendTarget.w
Std.Sat.AIG.Basic
[ "Std.Sat.AIG.ExtendTarget", "Std.Sat.AIG", "Nat", "Hashable", "DecidableEq" ]
true
Lean.Syntax.getOptional?
Init.Prelude
[ "Lean.SourceInfo", "Option.some", "Lean.Syntax", "Bool.and", "instOfNatNat", "_private.Init.Prelude.0.Lean.Syntax.setKind.match_1", "cond.match_1", "instBEqOfDecidableEq", "Array", "Option.none", "BEq.beq", "Unit", "Nat", "Lean.nullKind", "Bool", "instDecidableEqNat", "Lean.SyntaxNod...
true
_private.Std.Data.DTreeMap.Internal.Lemmas.0.Std.DTreeMap.Internal.Impl.getKey!_eq_get!_getKey?._simp_1_3
Std.Data.DTreeMap.Internal.Lemmas
[ "Ord", "Membership.mem", "Bool.true", "Std.DTreeMap.Internal.Impl.contains", "propext", "Bool", "Std.DTreeMap.Internal.Impl.mem_iff_contains", "Eq", "Std.DTreeMap.Internal.Impl", "Std.DTreeMap.Internal.Impl.instMembershipOfOrd" ]
false
Array.find?
Init.Data.Array.Basic
[ "Pure.pure", "instForInOfForIn'", "Monad.toApplicative", "Array.instMembership", "Option.some", "ForInStep.done", "MProd.snd", "inferInstance", "instDecidableEqBool", "MProd.mk", "MProd.fst", "ForIn.forIn", "Id.run", "Array.findSomeM?.match_4", "Id", "Applicative.toPure", "Membership...
true
Nat.Partrec.below.casesOn
Mathlib.Computability.Partrec
[ "Pure.pure", "Nat.Partrec.below.left", "Nat.Partrec.comp", "Part", "Nat.rfind", "Nat.Partrec.below", "Nat.Partrec", "PFun", "Nat.Partrec.below.comp", "Nat.Partrec.prec", "Nat.unpair", "Nat.Partrec.below.rfind", "Monad.toApplicative", "Nat.Partrec.zero", "Nat.Partrec.rfind", "PFun.monad...
false
Multiset.prod_min_le
Mathlib.Algebra.Order.BigOperators.Group.Multiset
[ "CommMonoid.toCommSemigroup", "Multiset.map", "IsOrderedMonoid", "List.map", "LinearOrder", "Multiset.prod", "PartialOrder.toPreorder", "Quot.ind", "Preorder.toLE", "SemilatticeInf.toPartialOrder", "Multiset", "DistribLattice.toLattice", "id", "SemilatticeInf.toMin", "LE.le", "List", ...
true
spectrum_realPart'
Mathlib.Analysis.CStarAlgebra.ContinuousFunctionalCalculus.RealImaginaryPart
[ "Set.image_image", "NormedCommRing.toSeminormedCommRing", "instTrivialStarReal", "Real", "NonUnitalCommRing.toNonUnitalNonAssocCommRing", "instStarRingReal", "RCLike.toNormedAlgebra", "CommRing.toNonUnitalCommRing", "Complex.instNormedAddCommGroup", "spectrum", "IsStarNormal", "Ring.toNonAssoc...
true
NeZero
Init.Data.NeZero
[ "NeZero.mk", "Zero" ]
true
Vector.snd_lt_add_of_mem_zipIdx
Init.Data.Vector.Range
[ "Vector.instMembership", "Eq.mpr", "Vector", "congrArg", "Vector.instGetElemNatLt", "Membership.mem", "Exists", "id", "Prod.mk", "GetElem.getElem", "Nat.add_lt_add_iff_left._simp_1", "instHAdd", "Exists.casesOn", "HAdd.hAdd", "Nat", "LT.lt", "Iff.mp", "Eq.ndrec", "instAddNat", ...
true
ArchimedeanClass.exists_int_ge_of_mk_nonneg
Mathlib.Algebra.Order.Ring.Archimedean
[ "Int.cast", "Int.cast_natCast", "CommRing", "congrArg", "CommSemiring.toSemiring", "LinearOrder", "ArchimedeanClass.instLinearOrder", "PartialOrder.toPreorder", "AddGroupWithOne.toAddMonoidWithOne", "IsStrictOrderedRing", "Preorder.toLE", "cast", "Exists", "SemilatticeInf.toPartialOrder", ...
true
CliffordAlgebra.EvenHom.mk
Mathlib.LinearAlgebra.CliffordAlgebra.Even
[ "CommRing", "instHSMul", "Semiring.toModule", "HMul.hMul", "CliffordAlgebra.EvenHom", "Ring.toNonAssocRing", "CommSemiring.toSemiring", "AddCommGroup.toAddCommMonoid", "QuadraticForm", "LinearMap.instFunLike", "Algebra", "RingHom", "Algebra.toSMul", "algebraMap", "AddCommGroup", "Algeb...
true
Std.DTreeMap.Internal.Cell.get?.eq_1
Std.Data.DTreeMap.Internal.Model
[ "Std.DTreeMap.Internal.Cell.get?.match_1", "Ord", "Std.OrientedOrd", "Option.some", "cast", "Sigma.fst", "Ord.compare", "Std.DTreeMap.Internal.Cell", "Option.none", "Std.DTreeMap.Internal.Cell.inner", "Eq.refl", "Std.DTreeMap.Internal.Cell.get?._proof_1", "Sigma.snd", "Std.DTreeMap.Interna...
true
DFinsupp.instCanonicallyOrderedAddOfAddLeftMono
Mathlib.Data.DFinsupp.Order
[ "DFinsupp.ext", "DFinsupp.tsub", "AddMonoid.toAddZeroClass", "PartialOrder.toPreorder", "HSub.hSub", "AddLeftMono", "Preorder.toLE", "ExistsAddOfLE.mk", "AddZeroClass.toAddZero", "PartialOrder", "DFinsupp.instDFunLike", "OrderedSub", "CanonicallyOrderedAdd.mk", "LE.le", "CanonicallyOrder...
true
ClosureOperator.noConfusion
Mathlib.Order.Closure
[ "ClosureOperator.isClosed_iff._autoParam", "ClosureOperator.casesOn", "HEq.refl", "OrderHom.toFun", "Preorder.toLE", "ClosureOperator.noConfusionType", "LE.le", "ClosureOperator", "autoParam", "Iff", "eq_of_heq", "Eq.ndrec", "HEq", "Eq", "OrderHom", "Preorder" ]
false
_private.Init.Data.List.Find.0.List.lt_findIdx_iff._proof_1_3
Init.Data.List.Find
[ "False", "Lean.Omega.Constraint.not_sat'_of_isImpossible", "of_decide_eq_true", "le_of_le_of_eq", "Lean.Omega.Constraint.mk", "Lean.Omega.Constraint.combine_sat'", "Int.add_one_le_of_lt", "HSub.hSub", "Lean.Omega.Int.add_congr", "Lean.Omega.LinearCombo.eval", "Option.some", "Lean.Omega.LinearC...
false
Lean.Lsp.InlayHintParams
Lean.Data.Lsp.LanguageFeatures
[ "Lean.Lsp.InlayHintParams.mk" ]
true
DifferentiableOn.sum
Mathlib.Analysis.Calculus.FDeriv.Add
[ "Pi.addCommMonoid", "NormedSpace", "DifferentiableWithinAt.sum", "Finset", "NormedSpace.toModule", "PseudoMetricSpace.toUniformSpace", "Membership.mem", "SeminormedAddCommGroup.toPseudoMetricSpace", "Finset.instSetLike", "DifferentiableOn", "NontriviallyNormedField", "NormedAddCommGroup.toAddC...
true
MeasurableEquiv.piCongrLeft.eq_1
Mathlib.MeasureTheory.MeasurableSpace.Embedding
[ "MeasurableEquiv.piCongrLeft._proof_2", "Equiv.instEquivLike", "MeasurableEquiv.piCongrLeft", "Equiv", "Equiv.piCongrLeft", "MeasurableEquiv.piCongrLeft._proof_3", "MeasurableSpace", "MeasurableSpace.pi", "MeasurableEquiv.mk", "Eq.refl", "MeasurableEquiv", "Eq", "DFunLike.coe", "EquivLike....
true
_private.Lean.Elab.BuiltinNotation.0.Lean.Elab.Term.elabUnsafe._sparseCasesOn_1
Lean.Elab.BuiltinNotation
[ "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
PartOrdEmb.of.injEq
Mathlib.Order.Category.PartOrdEmb
[ "Eq.propIntro", "Lean.injEq_helper", "PartialOrder", "HEq.homo_ndrec", "PartOrdEmb.of.inj", "And", "Eq.ndrec", "Eq.refl", "HEq", "PartOrdEmb", "Eq", "PartOrdEmb.of" ]
true
Batteries.CodeAction.instInhabitedTacticCodeActionEntry.default
Batteries.CodeAction.Attr
[ "Inhabited.default", "Array", "Batteries.CodeAction.TacticCodeActionEntry", "Array.instInhabited", "Lean.Name", "Batteries.CodeAction.TacticCodeActionEntry.mk", "Lean.instInhabitedName" ]
true
neZero_iff
Init.Data.NeZero
[ "NeZero.mk", "Ne", "Iff", "Iff.intro", "NeZero.out", "Zero.toOfNat0", "NeZero", "OfNat.ofNat", "Zero" ]
true
_private.Mathlib.CategoryTheory.Triangulated.Opposite.Basic.0.CategoryTheory.Pretriangulated.opShiftFunctorEquivalence_add_unitIso_inv_app_eq._simp_1_2
Mathlib.CategoryTheory.Triangulated.Opposite.Basic
[ "CategoryTheory.Functor", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "CategoryTheory.Functor.map", "CategoryTheory.CategoryStruct.comp", "CategoryTheory.Functor.map_comp", "CategoryTheory.Category.toCategoryStruct", "Eq.symm", "Eq", "CategoryTheory.Functor.obj", "CategoryTheory.Cate...
false
CategoryTheory.ObjectProperty.coproductFromFamily
Mathlib.CategoryTheory.Generator.Basic
[ "CategoryTheory.ObjectProperty.ι", "CategoryTheory.Comma.left", "CategoryTheory.CostructuredArrow", "CategoryTheory.ObjectProperty.FullSubcategory.obj", "CategoryTheory.discreteCategory", "PUnit", "CategoryTheory.Category.toCategoryStruct", "CategoryTheory.Functor.fromPUnit", "CategoryTheory.ObjectP...
true
StieltjesFunction.mk.inj
Mathlib.MeasureTheory.Measure.Stieltjes
[ "Real", "ContinuousWithinAt", "Set.Ici", "StieltjesFunction.mk", "StieltjesFunction.mk.noConfusion", "LinearOrder", "PartialOrder.toPreorder", "Monotone", "PseudoMetricSpace.toUniformSpace", "SemilatticeInf.toPartialOrder", "DistribLattice.toLattice", "TopologicalSpace", "StieltjesFunction",...
true
_private.Mathlib.Algebra.Order.GroupWithZero.Canonical.0.instLinearOrderedAddCommGroupWithTopAdditiveOrderDual._simp_3
Mathlib.Algebra.Order.GroupWithZero.Canonical
[ "Equiv.instEquivLike", "Additive", "Additive.toMul", "Equiv", "Additive.ext_iff", "propext", "Eq", "DFunLike.coe", "EquivLike.toFunLike" ]
false
LightProfinite.instEpiAppOppositeNatπAsLimitCone
Mathlib.Topology.Category.LightProfinite.Extend
[ "Iff.mpr", "CategoryTheory.Limits.Cone.π", "CategoryTheory.Functor", "Opposite", "CategoryTheory.Epi", "CategoryTheory.ConcreteCategory.hom", "SecondCountableTopology", "ContinuousMap", "CategoryTheory.Functor.category", "LightProfinite.diagram", "Preorder.smallCategory", "TotallyDisconnectedS...
true