name
stringlengths
2
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module
stringlengths
6
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deps
listlengths
0
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allowCompletion
bool
2 classes
_private.Lean.Compiler.Old.0.Lean.Compiler.getDeclNamesForCodeGen.match_1
Lean.Compiler.Old
[ "Lean.Declaration.ctorIdx", "Lean.DefinitionVal.mk", "Lean.ConstantVal", "Lean.AxiomVal.mk", "Lean.AxiomVal.casesOn", "Lean.Declaration.opaqueDecl", "Lean.ConstantVal.casesOn", "Lean.ReducibilityHints", "Lean.Expr", "Nat.hasNotBit", "Lean.ConstantVal.mk", "Lean.OpaqueVal.mk", "Lean.Declarati...
false
_private.Lean.Meta.WrapInstance.0.Lean.Meta.getParentStructType?.match_1
Lean.Meta.WrapInstance
[ "Lean.Expr.const", "Lean.Expr", "Nat.hasNotBit", "Lean.Level", "List", "Lean.Name", "Lean.Expr.ctorIdx", "_private.Lean.Meta.WrapInstance.0.Lean.Meta.getParentStructType?._sparseCasesOn_1" ]
false
IsCoprime.mono
Mathlib.RingTheory.Coprime.Basic
[ "Dvd.dvd", "CommSemiring.toNonUnitalCommSemiring", "semigroupDvd", "SemigroupWithZero.toSemigroup", "NonUnitalSemiring.toSemigroupWithZero", "NonUnitalCommSemiring.toNonUnitalSemiring", "CommSemiring", "IsCoprime.of_isCoprime_of_dvd_left", "IsCoprime.of_isCoprime_of_dvd_right", "IsCoprime" ]
true
_private.Mathlib.Algebra.Module.Presentation.Tensor.0.Module.Relations.tensor.match_1.eq_1
Mathlib.Algebra.Module.Presentation.Tensor
[ "CommRing", "Sum", "Prod.mk", "Sum.inl", "Module.Relations.R", "Sum.inr", "Module.Relations.G", "Eq.refl", "Module.Relations.tensor.match_1", "CommRing.toRing", "Module.Relations", "Prod", "Eq" ]
true
LinearMap.baseChange_comp
Mathlib.LinearAlgebra.TensorProduct.Tower
[ "NonAssocSemiring.toAddCommMonoidWithOne", "LinearMap.baseChange", "Algebra.to_smulCommClass", "Semiring.toModule", "IsScalarTower.right", "LinearMap.ext", "CommSemiring.toSemiring", "TensorProduct.addCommMonoid", "LinearMap.instFunLike", "Algebra", "Algebra.toSMul", "Algebra.toModule", "Add...
true
IsSl2Triple
Mathlib.Algebra.Lie.Sl2
[ "LieRing", "IsSl2Triple.mk" ]
true
SSet.PtSimplex.MulStruct.ctorIdx
Mathlib.AlgebraicTopology.SimplicialSet.KanComplex.MulStruct
[ "Opposite", "SSet.PtSimplex.MulStruct", "instOfNatNat", "SSet", "SimplexCategory.mk", "Opposite.op", "Nat", "CategoryTheory.types", "SimplexCategory", "CategoryTheory.Category.opposite", "SimplexCategory.smallCategory", "OfNat.ofNat", "Fin", "SSet.PtSimplex", "CategoryTheory.Functor.obj"...
false
UInt32.ofBitVec_add
Init.Data.UInt.Lemmas
[ "BitVec.instAdd", "BitVec", "instOfNatNat", "instAddUInt32", "instHAdd", "UInt32.ofBitVec", "HAdd.hAdd", "Nat", "UInt32", "OfNat.ofNat", "Eq", "rfl" ]
true
bddAbove_range_mul
Mathlib.Algebra.Order.GroupWithZero.Bounds
[ "bddAbove_range_prod", "Iff.mpr", "monotone_fst", "HMul.hMul", "BddAbove.range_comp_of_nonneg", "Prod.instLE_mathlib", "setOf", "Preorder.toLE", "Mul", "Function.comp", "Membership.mem", "Pi.instZero", "Prod.mk", "LE.le", "Prod.fst", "BddAbove", "Pi.hasLe", "MulPosMono", "Monoton...
true
Complex.tendsto_norm_tan_of_cos_eq_zero
Mathlib.Analysis.SpecialFunctions.Trigonometric.ComplexDeriv
[ "Iff.mpr", "AddGroup.toSubtractionMonoid", "Norm.norm", "Eq.mpr", "NegZeroClass.toNeg", "NormedCommRing.toSeminormedCommRing", "False", "norm_pos_iff", "Real", "Set.Ioi", "instHDiv", "HMul.hMul", "Complex.continuous_sin", "Complex.instNormedAddCommGroup", "Complex.cos", "Real.instZero"...
true
Subtype.t0Space
Mathlib.Topology.Separation.Basic
[ "Topology.IsEmbedding.t0Space", "Subtype", "TopologicalSpace", "instTopologicalSpaceSubtype", "T0Space", "Topology.IsEmbedding.subtypeVal", "Subtype.val" ]
true
groupHomology.cycles₁IsoOfIsTrivial.eq_1
Mathlib.RepresentationTheory.Homological.GroupHomology.LowDegree
[ "Submodule", "Rep.V", "CommRing", "Finsupp.module", "groupHomology.cycles₁IsoOfIsTrivial", "ModuleCat", "Rep.IsTrivial", "groupHomology.cycles₁_eq_top_of_isTrivial", "CommSemiring.toSemiring", "AddCommGroup.toAddCommMonoid", "Rep.hV2", "LinearEquiv.toModuleIso", "Group", "Rep.hV1", "Memb...
true
Lean.Meta.Tactic.Cbv.instInhabitedCbvSimprocOLeanEntry.default
Lean.Meta.Tactic.Cbv.CbvSimproc
[ "Inhabited.default", "Lean.Meta.Tactic.Cbv.CbvSimprocOLeanEntry.mk", "Lean.Meta.Tactic.Cbv.CbvSimprocPhase", "Lean.Meta.DiscrTree.Key", "Array", "Array.instInhabited", "Lean.Name", "Lean.instInhabitedName", "Lean.Meta.Tactic.Cbv.CbvSimprocOLeanEntry", "Lean.Meta.Tactic.Cbv.instInhabitedCbvSimprocP...
true
Matroid.subsingleton_indep._auto_1
Mathlib.Combinatorics.Matroid.Loop
[ "Lean.Syntax.node", "Array.push", "Lean.Syntax", "Array.empty", "Lean.Name.mkStr2", "Lean.SourceInfo.none", "Lean.Name.mkStr1", "Lean.Name.mkStr4", "Lean.mkAtom" ]
false
InfHom.withBot_toFun
Mathlib.Order.Hom.WithTopBot
[ "WithBot.semilatticeInf", "WithBot", "InfHom", "SemilatticeInf.toMin", "SemilatticeInf", "Eq.refl", "InfHom.withBot", "InfHom.instFunLike", "WithBot.map", "Eq", "DFunLike.coe" ]
true
CategoryTheory.normalOfIsPushoutSndOfNormal._proof_4
Mathlib.CategoryTheory.Limits.Shapes.NormalMono.Basic
[ "CategoryTheory.NormalEpi", "CategoryTheory.Limits.HasZeroMorphisms", "CategoryTheory.Functor", "CategoryTheory.normalOfIsPushoutSndOfNormal._proof_3", "CategoryTheory.Limits.WalkingSpan", "CategoryTheory.Limits.Cocone", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "CategoryTheory.Limits....
false
Std.TreeSet.Raw.max?_eq_none_iff._simp_1
Std.Data.TreeSet.Raw.Lemmas
[ "Std.TreeSet.Raw.max?", "Ordering", "Std.TransCmp", "Bool.true", "Option.none", "Std.TreeSet.Raw", "propext", "Bool", "Std.TreeSet.Raw.isEmpty", "Std.TreeSet.Raw.max?_eq_none_iff", "Eq", "Option", "Std.TreeSet.Raw.WF" ]
false
two_mul_le_add_mul_sq
Mathlib.Algebra.Order.Field.Basic
[ "Iff.mpr", "NonUnitalNonAssocCommRing.toNonUnitalNonAssocCommSemiring", "Distrib.leftDistribClass", "Eq.mpr", "GroupWithZero.toMonoidWithZero", "MulOne.toOne", "Semigroup.toMul", "DivInvMonoid.toInv", "Trans.trans", "Preorder.toLT", "NonUnitalCommRing.toNonUnitalNonAssocCommRing", "two_mul_le_...
true
CategoryTheory.Limits.IsImage.instInhabitedSelf
Mathlib.CategoryTheory.Limits.Shapes.Images
[ "CategoryTheory.Mono", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "CategoryTheory.Limits.MonoFactorisation.self", "Inhabited", "CategoryTheory.Limits.IsImage.self", "CategoryTheory.Category.toCategoryStruct", "CategoryTheory.Limits.IsImage", "CategoryTheory.Category", "Inhabited.mk" ]
true
Lean.Elab.Command.ComputedFieldView.mk.injEq
Lean.Elab.MutualInductive
[ "Lean.TSyntax", "Lean.Elab.Command.ComputedFieldView.mk", "Lean.Elab.Command.ComputedFieldView.mk.inj", "Eq.propIntro", "Lean.injEq_helper", "Lean.Syntax", "Lean.Elab.Command.ComputedFieldView", "Lean.Syntax.Term", "List.cons", "And", "Eq.ndrec", "Lean.Name", "Eq.refl", "Lean.SyntaxNodeKin...
true
Std.DTreeMap.Internal.Const.RoiSliceData.noConfusionType
Std.Data.DTreeMap.Internal.Zipper
[ "Ord", "Std.DTreeMap.Internal.Const.RoiSliceData", "HEq", "Std.DTreeMap.Internal.Const.RoiSliceData.casesOn", "Std.Roi", "Std.DTreeMap.Internal.Impl" ]
false
Set.insert_diff_subset
Mathlib.Order.BooleanAlgebra.Set
[ "False", "eq_false", "and_true", "congrArg", "and_self", "true_or", "Membership.mem", "Insert.insert", "HasSubset.Subset", "Or.casesOn", "And.casesOn", "SDiff.sdiff", "And", "Set.instInsert", "Set.mem_insert_iff._simp_1", "congr", "True", "eq_self", "eq_true", "of_eq_true", "...
true
MulRingSeminormClass
Mathlib.Algebra.Order.Hom.Basic
[ "outParam", "PartialOrder", "NonAssocRing", "MulRingSeminormClass.mk", "Semiring", "FunLike" ]
true
IsSumSq.natCast._simp_1
Mathlib.Algebra.Ring.SumsOfSquares
[ "NonAssocSemiring.toAddCommMonoidWithOne", "NonUnitalNonAssocSemiring.toMulZeroClass", "IsSumSq.natCast", "Distrib.toAdd", "AddMonoidWithOne.toNatCast", "AddCommMonoidWithOne.toAddMonoidWithOne", "Nat.cast", "NonAssocSemiring", "Distrib.toMul", "NonAssocSemiring.toNonUnitalNonAssocSemiring", "Na...
false
Chebyshev.primeCounting_sub_theta_div_log_isBigO
Mathlib.NumberTheory.Chebyshev
[ "Real.instIsOrderedRing", "Eq.mpr", "InnerProductSpace.toNormedSpace", "Real.partialOrder", "Real", "instHDiv", "HMul.hMul", "FloorRing.toFloorSemiring", "Real.instRCLike", "congrArg", "add_sub_cancel_left", "Real.instDivInvMonoid", "Real.instSub", "Nat.instAtLeastTwoHAddOfNat", "Asympto...
true
DFinsupp.liftAddHom_apply_single
Mathlib.Data.DFinsupp.BigOperators
[ "DFinsupp.sumAddHom_single", "congrArg", "DFinsupp.single", "AddMonoid.toAddZeroClass", "AddZeroClass.toAddZero", "DFinsupp.addZeroClass", "DFinsupp.liftAddHom", "AddCommMonoid", "AddZero.toZero", "AddZeroClass", "Pi.instAdd", "AddMonoidHom.add", "True", "eq_self", "of_eq_true", "AddEq...
true
Lean.MessageData.ofWidget.sizeOf_spec
Lean.Message
[ "Lean.MessageData", "Lean.Widget.WidgetInstance", "instOfNatNat", "instHAdd", "HAdd.hAdd", "Nat", "SizeOf.sizeOf", "Lean.MessageData._sizeOf_inst", "instAddNat", "Eq.refl", "OfNat.ofNat", "Eq", "Lean.Widget.WidgetInstance._sizeOf_inst", "Lean.MessageData.ofWidget" ]
true
star_left_conjugate_le_conjugate
Mathlib.Algebra.Order.Star.Basic
[ "add_mul", "Distrib.leftDistribClass", "Eq.mpr", "HMul.hMul", "congrArg", "AddMonoid.toAddZeroClass", "PartialOrder.toPreorder", "NonUnitalNonAssocSemiring.toMulZeroClass", "Preorder.toLE", "Distrib.rightDistribClass", "Membership.mem", "Exists", "PartialOrder", "Eq.mp", "id", "Distrib...
true
CategoryTheory.GrpObj.zpow_comp_assoc
Mathlib.CategoryTheory.Monoidal.Cartesian.Grp
[ "CategoryTheory.Category.assoc", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "congrArg", "DivInvMonoid.toZPow", "CategoryTheory.Hom.group", "CategoryTheory.GrpObj.toMonObj", "Eq.mp", "id", "CategoryTheory.IsMonHom", "Mathlib.Tactic.Reassoc.eq_whisker'", "Int", "CategoryTheory.Sem...
true
_private.Lean.Meta.Constructions.CtorElim.0.Lean.reassocMax.maxArgs._sparseCasesOn_1
Lean.Meta.Constructions.CtorElim
[ "Lean.Level.ctorIdx", "Nat.ne_of_beq_eq_false", "Nat.shiftRight", "Lean.Level.mvar", "Lean.Level.param", "Nat.hasNotBit", "Lean.Level.imax", "instOfNatNat", "Lean.Level", "Nat.land", "Lean.Level.zero", "Nat", "Bool", "Lean.Level.rec", "Lean.Name", "Eq.refl", "Lean.Level.succ", "OfN...
false
_private.Lean.Util.Diff.0.Lean.Diff.Histogram.addLeft.match_1
Lean.Util.Diff
[ "Unit.unit", "Lean.Diff.Histogram.Entry", "Option.casesOn", "Option.some", "Option.none", "Unit", "Nat", "Option" ]
false
Cardinal.mk_range_inr
Mathlib.SetTheory.Cardinal.Basic
[ "Eq.mpr", "Cardinal", "Equiv.lift_cardinal_eq", "congrArg", "Cardinal.lift", "Cardinal.mk", "Cardinal.lift_id'", "Set.Elem", "Sum", "Equiv.Set.rangeInr", "id", "Cardinal.lift_umax", "Sum.inr", "Eq.refl", "Set.range", "Eq.symm", "Eq" ]
true
Lean.Parser.Term.set_option.formatter
Lean.Parser.Command
[ "Lean.PrettyPrinter.Formatter", "Lean.ppSpace.formatter", "Lean.Parser.withCache.formatter", "Lean.Parser.leadingNode.formatter", "instOfNatNat", "Lean.PrettyPrinter.Formatter.withAntiquot.formatter", "Lean.Parser.symbol.formatter", "Bool.true", "Nat", "Lean.Parser.termParser.formatter", "Lean.P...
true
WeakFEPair.f_modif_aux1
Mathlib.NumberTheory.LSeries.AbstractFuncEq
[ "Iff.mpr", "Set.notMem_Ioi", "Eq.mpr", "Real.instPow", "False", "Real.partialOrder", "Real", "Set.Ioi", "instHSMul", "Preorder.toLT", "Set.mem_Ioo", "_private.Mathlib.NumberTheory.LSeries.AbstractFuncEq.0.WeakFEPair.f_modif_aux1._abel_1_3", "HMul.hMul", "NormedSpace", "Real.instZero", ...
true
AlgebraicGeometry.Scheme.IdealSheafData.glueDataObjHom.congr_simp
Mathlib.AlgebraicGeometry.IdealSheaf.Subscheme
[ "AlgebraicGeometry.Scheme.IdealSheafData.glueDataObjHom", "AlgebraicGeometry.Scheme", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "AlgebraicGeometry.Scheme.IdealSheafData.glueDataObj", "PartialOrder.toPreorder", "Preorder.toLE", "Set.Elem", "LE.le", "AlgebraicGeometry.Scheme.IdealSheaf...
true
SkewMonoidAlgebra.mapDomain_smul
Mathlib.Algebra.SkewMonoidAlgebra.Basic
[ "Monoid", "Eq.mpr", "Finsupp.smulZeroClass", "SkewMonoidAlgebra.toFinsupp_smul", "SkewMonoidAlgebra.mapDomain", "instHSMul", "congrArg", "DistribMulAction.toDistribSMul", "Finsupp.mapDomain", "AddMonoid.toAddZeroClass", "SkewMonoidAlgebra.instZero", "SkewMonoidAlgebra.instSMulZeroClass", "_p...
true
MulEquiv.monoidHomCongrLeft.eq_1
Mathlib.Algebra.Group.Equiv.Basic
[ "MonoidHom", "Monoid.toMulOneClass", "MulEquiv.monoidHomCongrLeftEquiv", "MulEquiv.monoidHomCongrLeft._proof_1", "MulOne.toMul", "MulOneClass.toMulOne", "CommMonoid.toMonoid", "MulEquiv", "Eq.refl", "MonoidHom.mul", "MulOneClass", "Eq", "CommMonoid", "MulEquiv.mk", "MulEquiv.monoidHomCon...
true
_private.Lean.Util.ParamMinimizer.0.Lean.Util.ParamMinimizer.Context.maxCalls
Lean.Util.ParamMinimizer
[ "_private.Lean.Util.ParamMinimizer.0.Lean.Util.ParamMinimizer.Context", "Nat" ]
true
SimpleGraph.Embedding.sumInl
Mathlib.Combinatorics.SimpleGraph.Sum
[ "RelEmbedding.mk", "SimpleGraph.Adj", "Function.Embedding.mk", "Sum", "SimpleGraph.Embedding", "Sum.inl", "SimpleGraph.Embedding.sumInl._proof_2", "SimpleGraph", "SimpleGraph.sum", "SimpleGraph.Embedding.sumInl._proof_1" ]
true
CStarAlgebra.pow_nonneg._auto_1
Mathlib.Analysis.CStarAlgebra.ContinuousFunctionalCalculus.Order
[ "Lean.Syntax.node", "Array.push", "Lean.Syntax", "Array.empty", "Lean.SourceInfo.none", "Lean.Name.mkStr1", "Lean.Name.mkStr4", "Lean.mkAtom" ]
false
AddSubgroup.instPartialOrder.eq_1
Mathlib.Algebra.Group.Subgroup.Defs
[ "PartialOrder.ofSetLike", "AddSubgroup.instPartialOrder", "PartialOrder", "AddSubgroup", "AddGroup", "AddSubgroup.instSetLike", "Eq.refl", "Eq" ]
true
MeasureTheory.isTightMeasureSet_iff_exists_isCompact_measure_compl_le
Mathlib.MeasureTheory.Measure.Tight
[ "ENNReal.instCanonicallyOrderedAdd", "Filter.instMembership", "Eq.mpr", "ENNReal.instAdd", "MeasureTheory.Measure", "Preorder.toLT", "Filter.smallSets", "ENNReal.instOrderedSub", "congrArg", "instIsBotZeroClass", "iSup", "_private.Mathlib.MeasureTheory.Measure.Tight.0.MeasureTheory.isTightMeas...
true
SimpleGraph.IsEdgeReachable.rfl
Mathlib.Combinatorics.SimpleGraph.Connectivity.EdgeConnectivity
[ "SimpleGraph.IsEdgeReachable", "SimpleGraph.deleteEdges", "Set.encard", "ENat.instNatCast", "Nat.cast", "SimpleGraph", "SimpleGraph.Reachable.rfl", "Nat", "ENat", "LT.lt", "instLTENat", "Sym2", "Set" ]
true
Set.unbounded_le_iff
Mathlib.Order.Bounded
[ "Preorder.toLT", "congrArg", "LinearOrder", "PartialOrder.toPreorder", "Preorder.toLE", "Membership.mem", "Exists", "SemilatticeInf.toPartialOrder", "DistribLattice.toLattice", "LE.le", "iff_self", "funext", "And", "Iff", "LT.lt", "True", "Set.Unbounded", "of_eq_true", "congrFun'...
true
Polynomial.monic_X_pow_sub_C
Mathlib.Algebra.Polynomial.Monic
[ "_private.Mathlib.Algebra.Polynomial.Monic.0.Polynomial.monic_X_pow_sub_C._simp_1_1", "Polynomial.C", "NegZeroClass.toNeg", "RingHom.instRingHomClass", "Polynomial.monic_X_pow_add_C", "RingHomClass.toAddMonoidHomClass", "AddGroupWithOne.toAddGroup", "congrArg", "HSub.hSub", "RingHom", "Eq.mp", ...
true
CategoryTheory.MorphismProperty.MapFactorizationData.hp
Mathlib.CategoryTheory.MorphismProperty.Factorization
[ "CategoryTheory.MorphismProperty", "CategoryTheory.MorphismProperty.MapFactorizationData.Z", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "CategoryTheory.MorphismProperty.MapFactorizationData.p", "CategoryTheory.Category.toCategoryStruct", "CategoryTheory.MorphismProperty.MapFactorizationData...
true
_private.Lean.Meta.Tactic.Grind.Arith.Cutsat.ReorderVars.0.Lean.Meta.Grind.Arith.Cutsat.cmp₁
Lean.Meta.Tactic.Grind.Arith.Cutsat.ReorderVars
[ "Ordering", "Lean.Meta.Grind.Arith.Cutsat.cost₁", "Int.Linear.Var", "Ordering.swap", "Ord.compare", "Array", "Nat", "LT.lt", "instLTNat", "instOrdNat", "Lean.Meta.Grind.Arith.Cutsat.instInhabitedVarInfo", "GetElem?.getElem!", "Array.size", "Lean.Meta.Grind.Arith.Cutsat.VarInfo", "Array.i...
true
Lean.Lsp.instToJsonMarkupContent
Lean.Data.Lsp.Basic
[ "Lean.Lsp.instToJsonMarkupContent.toJson", "Lean.Lsp.MarkupContent", "Lean.ToJson.mk", "Lean.ToJson" ]
true
_private.Std.Internal.Async.System.0.Std.Internal.IO.Async.System.Environment.mk.sizeOf_spec
Std.Internal.Async.System
[ "Std.HashMap._sizeOf_inst", "String", "instOfNatNat", "Std.HashMap", "instHashableString", "instBEqOfDecidableEq", "instHAdd", "HAdd.hAdd", "Nat", "SizeOf.sizeOf", "instDecidableEqString", "instAddNat", "String._sizeOf_inst", "Eq.refl", "Std.Internal.IO.Async.System.Environment._sizeOf_i...
true
Fin.encodeSubtype_succ_neg
Batteries.Data.Fin.Coding
[ "Eq.mpr", "of_eq_false", "instNeZeroNatHAdd_1", "eq_false", "Fin.succ", "congrArg", "Nat.succ_lt_succ", "Fin.encodeSubtype", "Fin.isLt", "Fin.encodeSubtype._proof_6", "Fin.mk", "id", "Fin.instOfNat", "Fin.encodeSubtype._proof_1", "Subtype", "Fin.countP", "instOfNatNat", "Fin.ext", ...
true
instFloorSemiringNat._proof_1
Mathlib.Algebra.Order.Floor.Defs
[ "Eq.mpr", "NonAssocSemiring.toAddCommMonoidWithOne", "Nat.cast_id", "congrArg", "Iff.rfl", "PartialOrder.toPreorder", "id_def", "Preorder.toLE", "id", "AddMonoidWithOne.toNatCast", "AddCommMonoidWithOne.toAddMonoidWithOne", "LE.le", "instLENat", "instNatCastNat", "Nat.cast", "Iff", "...
false
Std.DTreeMap.Raw.inter_eq
Std.Data.DTreeMap.Raw.Lemmas
[ "Ordering", "Std.DTreeMap.Raw.inter", "Inter.inter", "Std.DTreeMap.Raw.instInter", "eq_self", "of_eq_true", "Eq", "Std.DTreeMap.Raw" ]
true
Int.neg_clog_inv_eq_log
Mathlib.Data.Int.Log
[ "Eq.mpr", "NonUnitalCommRing.toNonUnitalNonAssocCommRing", "CommRing.toNonUnitalCommRing", "DivisionCommMonoid.toDivisionMonoid", "DivInvOneMonoid.toInvOneClass", "congrArg", "LinearOrder", "IsStrictOrderedRing", "DivisionMonoid.toDivInvOneMonoid", "SemilatticeInf.toPartialOrder", "DistribLattic...
true
compl_le_compl
Mathlib.Order.Heyting.Basic
[ "Compl.compl", "compl_anti", "PartialOrder.toPreorder", "Preorder.toLE", "SemilatticeInf.toPartialOrder", "LE.le", "GeneralizedHeytingAlgebra.toLattice", "HeytingAlgebra.toGeneralizedHeytingAlgebra", "HeytingAlgebra", "HeytingAlgebra.toCompl", "Lattice.toSemilatticeInf" ]
true
CategoryTheory.instQuiverMonad
Mathlib.CategoryTheory.Monad.Basic
[ "Quiver.mk", "CategoryTheory.Monad", "Quiver", "CategoryTheory.MonadHom", "CategoryTheory.Category" ]
true
Array.back_mapIdx
Init.Data.Array.MapIdx
[ "List.getLast", "List.getLast_mapIdx", "List.mapIdx", "congrArg", "HSub.hSub", "Array.back", "Array.mapIdx", "List.back_toArray._proof_1", "Array.casesOn", "instSubNat", "instOfNatNat", "List.head_mapIdx._proof_1", "List.toArray", "Array.back.congr_simp", "Array", "List", "List.size_...
true
List.getLast!_eq_getLast?_getD
Init.Data.List.Lemmas
[ "List.getLast", "Inhabited.default", "False", "List.getLast?_eq_some_getLast", "List.getLast?", "congrArg", "False.elim", "Option.getD", "noConfusion_of_Nat", "Option.some", "List.cons", "List.getLast!._proof_1", "List", "True", "List.casesOn", "eq_self", "of_eq_true", "Eq.ndrec", ...
true
MonoidHom.decidableMemRange
Mathlib.Algebra.Group.Subgroup.Finite
[ "MonoidHom.range", "MonoidHom.instFunLike", "MonoidHom", "Monoid.toMulOneClass", "Group", "Membership.mem", "DivInvMonoid.toMonoid", "Subgroup", "Group.toDivInvMonoid", "Fintype.decidableExistsFintype", "MulOneClass.toMulOne", "Fintype", "DecidablePred", "Eq", "DFunLike.coe", "SetLike....
true
AddSubmonoid.addGroupMultiples._proof_4
Mathlib.Algebra.Group.Submonoid.Membership
[ "instHSMul", "AddSubmonoid.instAddSubmonoidClass", "AddMonoid.toAddSemigroup", "AddSubmonoid.toAddMonoid", "AddMonoid.toAddZeroClass", "AddMonoid.toNSMul", "Membership.mem", "AddZeroClass.toAddZero", "AddSubmonoid.addGroupMultiples._proof_5", "Subtype", "AddSubmonoid", "Int", "Nat.cast", "...
false
CategoryTheory.Functor.whiskerRight._proof_1
Mathlib.CategoryTheory.Whiskering
[ "Eq.mpr", "CategoryTheory.Functor", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "congrArg", "CategoryTheory.Functor.category", "CategoryTheory.Functor.comp", "id", "CategoryTheory.Functor.map", "CategoryTheory.NatTrans.naturality", "CategoryTheory.CategoryStruct.comp", "Eq.refl", ...
false
UInt64.reduceMul._regBuiltin.UInt64.reduceMul.declare_1._@.Lean.Meta.Tactic.Simp.BuiltinSimprocs.UInt.4002762760._hygCtx._hyg.55
Lean.Meta.Tactic.Simp.BuiltinSimprocs.UInt
[ "UInt64.reduceMul", "IO", "Bool.true", "Unit", "Sum.inr", "Lean.Meta.Simp.DSimproc", "Lean.Name.mkStr2", "Lean.Meta.Simp.addSimprocBuiltinAttr", "Lean.Meta.Simp.Simproc" ]
false
SymbolicDynamics.FullShift.MulSubshift.ctorIdx
Mathlib.Dynamics.SymbolicDynamics.Basic
[ "Monoid", "TopologicalSpace", "SymbolicDynamics.FullShift.MulSubshift", "Nat" ]
false
MultilinearMap.dfinsuppFamily._proof_6
Mathlib.LinearAlgebra.Multilinear.DFinsupp
[ "Finset.mem_univ", "Eq.mpr", "_private.Mathlib.LinearAlgebra.Multilinear.DFinsupp.0.MultilinearMap.dfinsuppFamily._simp_1", "Finset.univ", "Multiset.map", "congrArg", "Finset", "AddMonoid.toAddZeroClass", "Membership.mem", "Exists", "mt", "AddZeroClass.toAddZero", "Multiset", "DFinsupp.ins...
false
Set.tprod.eq_def
Mathlib.Data.Prod.TProd
[ "Set.instSProd", "List.brecOn", "Eq.mpr", "Set.tprod", "List.brecOn.go", "_private.Mathlib.Data.Prod.TProd.0.Set.tprod.match_1.splitter", "List.brecOn.eq", "SProd.sprod", "congrArg", "Set.univ", "id", "List.rec", "List.cons", "Set.tprod.match_1", "List", "PProd", "PUnit", "Set.tpro...
true
_private.Init.Data.Array.InsertionSort.0.Array.insertionSort.swapLoop._proof_1
Init.Data.Array.InsertionSort
[ "Nat.lt_succ_self", "Array", "Nat", "LT.lt", "Eq.ndrec", "Nat.lt_trans", "instLTNat", "Eq.symm", "Nat.succ", "Eq", "Array.size" ]
false
Std.DHashMap.Internal.toListModel_replicate_nil
Std.Data.DHashMap.Internal.WF
[ "Std.DHashMap.Internal.AssocList.toList", "List.replicate", "Nat.recAux", "congrArg", "Array.replicate", "List.flatMap_nil", "Membership.mem", "Std.DHashMap.Internal.AssocList.nil", "Ne", "instOfNatNat", "List.cons", "List.flatMap_cons", "instHAppendOfAppend", "List", "instHAdd", "Std....
true
HomogeneousIdeal.toIdeal_inf
Mathlib.RingTheory.GradedAlgebra.Homogeneous.Ideal
[ "SetLike", "NonAssocSemiring.toAddCommMonoidWithOne", "Semiring.toModule", "AddMonoid.toAddZeroClass", "AddSubmonoidClass", "HomogeneousIdeal.instMin", "AddCommMonoidWithOne.toAddMonoidWithOne", "Ideal", "NonUnitalNonAssocSemiring.toAddCommMonoid", "GradedRing", "NonAssocSemiring.toNonUnitalNonA...
true
isLUB_singleton._simp_2
Mathlib.Order.Bounds.Basic
[ "isLUB_singleton", "Preorder.toLE", "Set.instSingletonSet", "IsLUB", "True", "eq_true", "Singleton.singleton", "Eq", "Preorder", "Set" ]
false
Int.getElem?_toArray_rcc_eq_some_iff
Init.Data.Range.Polymorphic.IntLemmas
[ "_private.Init.Data.Range.Polymorphic.IntLemmas.0.Int.getElem?_toArray_rcc_eq_some_iff._simp_1_1", "Std.Rcc.toArray", "Std.Rco.toArray", "congrArg", "Std.PRange.instUpwardEnumerableInt", "HSub.hSub", "Int.decLe", "Int.getElem?_toArray_rco", "Option.some.injEq", "Option.some", "Int", "Nat.cast"...
true
HasStrictFDerivAt.const_cpow
Mathlib.Analysis.SpecialFunctions.Pow.Deriv
[ "NormedCommRing.toSeminormedCommRing", "Complex.log", "Algebra.to_smulCommClass", "instHSMul", "NonUnitalCommRing.toNonUnitalNonAssocCommRing", "Semiring.toModule", "HMul.hMul", "NormedSpace", "CommSemiring.toSemiring", "AddCommGroup.toAddCommMonoid", "IsSemitopologicalRing.toIsSemitopologicalSe...
true
CategoryTheory.Abelian.LeftResolution.chainComplexXIso
Mathlib.Algebra.Homology.LeftResolution.Basic
[ "CategoryTheory.Abelian.toPreadditive", "CategoryTheory.Functor.preimage", "CategoryTheory.Limits.HasZeroMorphisms", "CategoryTheory.Functor", "Nat.instOne", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "ChainComplex.mk'XIso", "CategoryTheory.Abelian.LeftResolution.chainComplex._proof_4",...
true
_private.Mathlib.Probability.Independence.ZeroOne.0.ProbabilityTheory.Kernel.indep_limsup_atTop_self._simp_1_2
Mathlib.Probability.Independence.ZeroOne
[ "Compl.compl", "Membership.mem", "Set.instCompl", "propext", "Eq", "Set.instMembership", "Not", "Set.mem_compl_iff", "Set" ]
false
Monoid.CoprodI.NeWord.last.eq_def
Mathlib.GroupTheory.CoprodI
[ "Monoid", "Eq.mpr", "MulOne.toOne", "_private.Mathlib.GroupTheory.CoprodI.0.Monoid.CoprodI.NeWord.toList.match_1.splitter", "Monoid.CoprodI.NeWord", "Monoid.toMulOneClass", "congrArg", "Monoid.CoprodI.NeWord.last._f", "HEq.refl", "Monoid.CoprodI.NeWord.singleton", "id", "Ne", "Monoid.CoprodI...
true
Finset.disjoint_val._simp_1
Mathlib.Data.Finset.Disjoint
[ "Finset", "Disjoint", "Multiset", "Finset.partialOrder", "Finset.val", "Multiset.instOrderBot", "Finset.disjoint_val", "propext", "Finset.instOrderBot", "Eq", "Multiset.instPartialOrder" ]
false
MeasureTheory.mem_fundamentalFrontier._simp_2
Mathlib.MeasureTheory.Group.FundamentalDomain
[ "instHSMul", "InvOneClass.toOne", "MeasureTheory.mem_fundamentalFrontier", "DivInvOneMonoid.toInvOneClass", "Group", "Group.toDivisionMonoid", "Membership.mem", "DivisionMonoid.toDivInvOneMonoid", "Exists", "DivInvMonoid.toMonoid", "Ne", "MeasureTheory.fundamentalFrontier", "Group.toDivInvMo...
false
_private.Mathlib.Combinatorics.Matroid.Map.0.Matroid.comap_isBasis_iff._simp_1_2
Mathlib.Combinatorics.Matroid.Map
[ "Set.mem_image", "Membership.mem", "Exists", "And", "propext", "Set.image", "Eq", "Set.instMembership", "Set" ]
false
Lean.Expr.hasNonSyntheticSorry
Lean.Util.Sorry
[ "Lean.Expr.isNonSyntheticSorry", "Lean.Expr", "Lean.Expr.find?", "Bool", "Option.isSome" ]
true
_private.Lean.Meta.Tactic.Grind.Types.0.Lean.Meta.Grind.Solvers.mergeTerms.go.match_3._arg_pusher
Lean.Meta.Tactic.Grind.Types
[ "Lean.Meta.Grind.SolverTerms.nil", "Unit.unit", "Lean.Expr", "id", "Unit", "Nat", "Eq.ndrec", "Eq.refl", "_private.Lean.Meta.Tactic.Grind.Types.0.Lean.Meta.Grind.Solvers.mergeTerms.go.match_3", "Eq.symm", "Eq", "_private.Lean.Meta.Tactic.Grind.Types.0.Lean.Meta.Grind.Solvers.mergeTerms.go.matc...
false
CategoryTheory.Join.instUniqueHomLeftRight
Mathlib.CategoryTheory.Join.Basic
[ "Unique.mk", "CategoryTheory.Join.instCategory", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "Unique", "CategoryTheory.Join.left", "CategoryTheory.Join.right", "CategoryTheory.Join.instUniqueHomLeftRight._proof_3", "CategoryTheory.Join", "CategoryTheory.Category.toCategoryStruct", "C...
true
MemHolder.nsmul
Mathlib.Topology.MetricSpace.HolderNorm
[ "Pi.Function.module", "NormedCommRing.toSeminormedCommRing", "NonAssocSemiring.toAddCommMonoidWithOne", "Real", "instHSMul", "Pi.addCommMonoid", "NormedSpace.toIsBoundedSMul", "NormedSpace", "MemHolder", "congrArg", "NormedAddCommGroup.toMetricSpace", "DistribMulAction.toDistribSMul", "AddCo...
true
instRingCliffordAlgebra._proof_3
Mathlib.LinearAlgebra.CliffordAlgebra.Basic
[ "CommRing", "CliffordAlgebra.Rel", "CommSemiring.toSemiring", "AddCommGroup.toAddCommMonoid", "CliffordAlgebra", "QuadraticForm", "AddCommGroup", "TensorAlgebra", "TensorAlgebra.instRing", "instHAdd", "instRingCliffordAlgebra._aux_1", "CommRing.toCommSemiring", "HAdd.hAdd", "RingQuot.instA...
false
Fin.val_sub_one_of_ne_zero
Mathlib.Data.Fin.Basic
[ "Fin.sub_val_of_le", "Nontrivial", "Iff.mpr", "Eq.mpr", "Fin.instSub", "Fin.val_one'", "congrArg", "Zero.ofOfNat0", "HSub.hSub", "Exists", "Fin.one_le_of_ne_zero", "Fin.neZero", "id", "Fin.instOfNat", "Nat.instMod", "instHMod", "nontrivial_of_ne", "instSubNat", "Ne", "instOfNat...
true
_private.Mathlib.Data.EReal.Basic.0.EReal.exists_rat_btwn_of_lt.match_1_3
Mathlib.Data.EReal.Basic
[ "Real", "Preorder.toLT", "DivisionRing.toRatCast", "Rat", "PartialOrder.toPreorder", "Exists", "Field.toDivisionRing", "SemilatticeInf.toPartialOrder", "DistribLattice.toLattice", "Rat.cast", "Exists.casesOn", "LT.lt", "Exists.intro", "Real.instField", "instDistribLatticeOfLinearOrder", ...
false
CategoryTheory.Limits.IsLimit.liftConeMorphism
Mathlib.CategoryTheory.Limits.IsLimit
[ "CategoryTheory.Limits.ConeMorphism.mk", "CategoryTheory.Functor", "CategoryTheory.Limits.Cone", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "CategoryTheory.Limits.IsLimit", "CategoryTheory.Limits.IsLimit.liftConeMorphism._proof_2", "CategoryTheory.Category.toCategoryStruct", "CategoryTh...
true
Equiv.sumIsRight_apply
Mathlib.Logic.Equiv.Defs
[ "Sum.isRight", "Equiv.instEquivLike", "Equiv.sumIsRight._proof_1", "Sum", "Equiv", "Subtype", "Bool.true", "Sum.getRight", "Equiv.sumIsRight", "Bool", "Eq.refl", "Subtype.val", "Eq", "DFunLike.coe", "EquivLike.toFunLike" ]
true
_private.Mathlib.Data.List.Cycle.0.List.next_eq_getElem._proof_1_10
Mathlib.Data.List.Cycle
[ "List.getLast", "List.head_append._proof_2", "Lean.Grind.nestedProof", "Ne", "List.cons", "_private.Mathlib.Data.List.Cycle.0.List.next_eq_getElem._proof_1_4", "Bool.true", "List", "List.isEmpty", "Bool", "Eq", "Not", "List.nil" ]
false
CategoryTheory.Limits.pushoutPushoutRightIsPushout._proof_3
Mathlib.CategoryTheory.Limits.Shapes.Pullback.Assoc
[ "CategoryTheory.Category.assoc", "CategoryTheory.Limits.pushout.inr_desc", "CategoryTheory.Limits.WalkingSpan", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "CategoryTheory.Limits.pushout.condition", "CategoryTheory.Limits.WalkingSpan.left", "CategoryTheory.Limits.PushoutCocone.inr", "id"...
false
CliffordAlgebra.reverse_involutive._simp_1
Mathlib.LinearAlgebra.CliffordAlgebra.Conjugation
[ "CommRing", "CliffordAlgebra.reverse", "Ring.toNonAssocRing", "CommSemiring.toSemiring", "AddCommGroup.toAddCommMonoid", "CliffordAlgebra", "instAlgebraCliffordAlgebra", "QuadraticForm", "LinearMap.instFunLike", "AddCommGroup", "Algebra.toModule", "NonUnitalNonAssocRing.toNonUnitalNonAssocSemi...
false
Lean.Parser.numLitFn
Lean.Parser.Basic
[ "Lean.numLitKind", "Lean.Parser.expectTokenFn", "Lean.Parser.ParserFn" ]
true
StarAlgebra.elemental.characterSpaceToSpectrum._proof_4
Mathlib.Analysis.CStarAlgebra.ContinuousFunctionalCalculus.Basic
[ "NormedRing.toRing", "StarSubalgebra.subringClass", "Complex.commRing", "Ring.toNonAssocRing", "Complex.instNormedField", "CStarAlgebra.toNormedRing", "CStarAlgebra.toStarRing", "StarSubalgebra", "StarSubalgebra.setLike", "CommRing.toCommSemiring", "CStarAlgebra", "SubringClass", "NormedRing...
false
Algebra.normalizedTrace_algebraMap_apply
Mathlib.FieldTheory.NormalizedTrace
[ "Algebra.normalizedTrace_map", "NonUnitalCommRing.toNonUnitalNonAssocCommRing", "Semiring.toModule", "CommRing.toNonUnitalCommRing", "Algebra.algebraMap", "CommSemiring.toSemiring", "IsScalarTower", "AddGroupWithOne.toAddMonoidWithOne", "IsScalarTower.toAlgHom", "LinearMap.instFunLike", "Algebra...
true
sup_left_right_swap
Mathlib.Order.Lattice
[ "Eq.mpr", "congrArg", "SemilatticeSup.toMax", "id", "sup_assoc", "sup_comm", "Max.max", "Eq.refl", "Eq", "SemilatticeSup" ]
true
pythagoreanTriple_comm
Mathlib.NumberTheory.PythagoreanTriples
[ "Eq.mpr", "HMul.hMul", "congrArg", "Iff.rfl", "id", "Int", "add_comm", "Int.instMul", "instHAdd", "Iff", "HAdd.hAdd", "Int.instAdd", "AddCommSemigroup.toAddCommMagma", "PythagoreanTriple", "Eq", "AddCommMagma.toAdd", "Int.instAddCommSemigroup", "instHMul" ]
true
AlgebraicGeometry.IsOpenImmersion.ΓIsoTop._proof_1
Mathlib.AlgebraicGeometry.OpenImmersion
[ "AlgebraicGeometry.Scheme.Hom.opensFunctor", "AlgebraicGeometry.SheafedSpace.instTopologicalSpaceCarrierCarrier", "AlgebraicGeometry.Scheme", "Lattice.toSemilatticeSup", "AlgebraicGeometry.PresheafedSpace.carrier", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "CompleteLattice.toLattice", ...
false
Asymptotics.isTheta_of_div_tendsto_nhds_ne_zero
Mathlib.Analysis.Asymptotics.Theta
[ "Eq.mpr", "NormedCommRing.toSeminormedCommRing", "DivInvMonoid.toInv", "instHDiv", "GroupWithZero.toDivInvMonoid", "DivisionCommMonoid.toDivisionMonoid", "DivInvOneMonoid.toInvOneClass", "congrArg", "HEq.refl", "Asymptotics.IsBigO", "NormedDivisionRing.toNormedRing", "PseudoMetricSpace.toUnifo...
true
_private.Init.Data.BitVec.Lemmas.0.BitVec.getMsbD_rotateLeft_of_lt._proof_1_2
Init.Data.BitVec.Lemmas
[ "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'", "Int.add_one_le_of_lt", "HSub.hSub", "Lean.Omega.Int.ofNat_sub_dichotomy", "Lean.Omega.Int.add_congr", "Lean.Om...
false
CategoryTheory.MorphismProperty.IsLocalAtSource.rec
Mathlib.CategoryTheory.MorphismProperty.Local
[ "CategoryTheory.MorphismProperty", "CategoryTheory.MorphismProperty.IsLocalAtSource.mk", "CategoryTheory.PreZeroHypercover.f", "CategoryTheory.Precoverage", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "CategoryTheory.PreZeroHypercover.X", "CategoryTheory.MorphismProperty.isomorphisms", "...
false
CategoryTheory.Functor.LaxMonoidal.right_unitality
Mathlib.CategoryTheory.Monoidal.Functor
[ "CategoryTheory.Functor", "CategoryTheory.MonoidalCategoryStruct.whiskerLeft", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "CategoryTheory.MonoidalCategoryStruct.rightUnitor", "CategoryTheory.MonoidalCategory", "CategoryTheory.Functor.LaxMonoidal.ε", "CategoryTheory.Functor.map", "Catego...
true
_private.Mathlib.Analysis.SpecialFunctions.Log.Base.0.Real.logb_prod._simp_1_1
Mathlib.Analysis.SpecialFunctions.Log.Base
[ "Nontrivial", "CommMonoidWithZero.toCommMonoid", "MulZeroClass.toMul", "Finset", "Membership.mem", "Ne", "Finset.prod_ne_zero_iff", "CommMonoidWithZero.toMonoidWithZero", "Finset.prod", "NoZeroDivisors", "MonoidWithZero.toMulZeroOneClass", "Finset.instSetLike", "CommMonoidWithZero", "prope...
false
CategoryTheory.FreeMonoidalCategory.Hom.ρ_hom.elim
Mathlib.CategoryTheory.Monoidal.Free.Basic
[ "PULift.up", "CategoryTheory.FreeMonoidalCategory.Hom.ctorIdx", "CategoryTheory.FreeMonoidalCategory.Hom.ctorElim", "Nat", "CategoryTheory.FreeMonoidalCategory", "CategoryTheory.FreeMonoidalCategory.unit", "CategoryTheory.FreeMonoidalCategory.Hom", "Eq.symm", "Eq", "CategoryTheory.FreeMonoidalCate...
false