name
stringlengths
2
347
module
stringlengths
6
90
deps
listlengths
0
692
allowCompletion
bool
2 classes
Std.DHashMap.Raw.getKey?_filterMap
Std.Data.DHashMap.RawLemmas
[ "Std.DHashMap.Raw.WF", "Eq.mpr", "Option.pfilter", "Std.DHashMap.Raw.filterMap", "instLawfulHashableOfLawfulBEq", "congrArg", "Std.DHashMap.Internal.Raw₀.getKey?", "Std.DHashMap.Internal.Raw₀.filterMap", "Std.DHashMap.Raw", "Std.DHashMap.Internal.Raw.getKey?_eq", "Std.DHashMap.Internal.Raw.get_e...
true
_private.Mathlib.Data.List.Cycle.0.List.prev.match_1.eq_1
Mathlib.Data.List.Cycle
[ "Membership.mem", "List.cons", "List", "List.instMembership", "List.prev.match_1", "Eq.refl", "Eq", "List.nil" ]
true
instRpcEncodableGoToModuleLinkProps.dec._@.ImportGraph.Tools.FindHome.1578893111._hygCtx._hyg.1
ImportGraph.Tools.FindHome
[ "Pure.pure", "Lean.Json", "GoToModuleLinkProps", "ReaderT", "Monad.toApplicative", "String", "Lean.instToJsonName", "Lean.instFromJsonName", "instMonadLiftT", "Lean.FromJson.fromJson?", "ReaderT.instMonad", "liftM", "Id", "Applicative.toPure", "ExceptT", "Lean.Server.RpcEncodable.rpcDe...
false
_private.Mathlib.Tactic.Ring.Common.0.Mathlib.Tactic.Ring.Common.ExSum.cmp.match_1
Mathlib.Tactic.Ring.Common
[ "Unit.unit", "HEq.refl", "Lean.Expr.const", "Mathlib.Tactic.Ring.Common.ExSum", "Lean.Expr.sort", "Lean.Level", "List.cons", "Lean.Literal.natVal", "Unit", "Qq.Quoted", "Mathlib.Tactic.Ring.Common.ExProd", "Mathlib.Tactic.Ring.Common.ExSum.zero", "Mathlib.Tactic.Ring.Common.ExSum.add", "Qq...
false
_private.Mathlib.Topology.MetricSpace.GromovHausdorff.0.GromovHausdorff.instMetricSpaceGHSpace._simp_3
Mathlib.Topology.MetricSpace.GromovHausdorff
[ "Exists", "Prod.mk", "propext", "Prod", "Prod.exists", "Eq" ]
false
Submodule.instInhabitedSubtypeSmallMem
Mathlib.RingTheory.Finiteness.Small
[ "Submodule", "Membership.mem", "Subtype", "Bot.bot", "AddCommMonoid", "Subtype.mk", "Submodule.instBot", "Submodule.instInhabitedSubtypeSmallMem._proof_1", "Submodule.setLike", "Semiring", "Inhabited", "Module", "SetLike.instMembership", "Small", "Inhabited.mk" ]
true
legendreSym.at_one
Mathlib.NumberTheory.LegendreSymbol.Basic
[ "Int.cast", "Eq.mpr", "MulOne.toOne", "MulChar.map_one", "Nat.Prime", "legendreSym._proof_1", "Monoid.toMulOneClass", "congrArg", "ZMod.fintype", "ZMod.decidableEq", "AddGroupWithOne.toAddMonoidWithOne", "CommSemiring.toCommMonoidWithZero", "Field.toDivisionRing", "quadraticChar", "legen...
true
_private.Mathlib.CategoryTheory.Triangulated.TStructure.TruncLTGE.0.CategoryTheory.Triangulated.TStructure.TruncAux.triangleFunctor_map
Mathlib.CategoryTheory.Triangulated.TStructure.TruncLTGE
[ "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "CategoryTheory.Functor.Additive", "_private.Mathlib.CategoryTheory.Triangulated.TStructure.TruncLTGE.0.CategoryTheory.Triangulated.TStructure.TruncAux.triangleMap", "CategoryTheory.shiftFunctor", "Int", "Int.instAddMonoid", "CategoryTheory.Pretr...
true
Profinite.NobelingProof.coe_πs
Mathlib.Topology.Category.Profinite.Nobeling.Basic
[ "Int.instAddCommGroup", "Int.instAddCommMonoid", "Ordinal.instLinearOrder", "LocallyConstant.instAddCommGroup", "Preorder.toLT", "Profinite.NobelingProof.πs", "Pi.topologicalSpace", "Ordinal.partialOrder", "LocallyConstant.instAddCommMonoid", "LinearOrder", "WellFoundedLT", "PartialOrder.toPre...
true
_private.Std.Data.DHashMap.Internal.Model.0.Std.DHashMap.Internal.Raw₀.Const.modify.eq_1
Std.Data.DHashMap.Internal.Model
[ "Std.DHashMap.Internal.Raw₀.Const.modify", "Std.DHashMap.Internal.mkIdx", "Array.instGetElemUSizeLtNatToNatSize", "Std.DHashMap.Raw", "Std.DHashMap.Internal.AssocList.contains", "Std.DHashMap.Internal.AssocList.nil", "Subtype", "instDecidableEqBool", "instOfNatNat", "_private.Std.Data.DHashMap.Int...
true
HasProdLocallyUniformlyOn.multipliableLocallyUniformlyOn
Mathlib.Topology.Algebra.InfiniteSum.UniformOn
[ "UniformSpace", "TopologicalSpace", "Exists.intro", "HasProdLocallyUniformlyOn", "MultipliableLocallyUniformlyOn", "CommMonoid", "Set" ]
true
Vector.mapIdx_mk._proof_1
Init.Data.Vector.Lemmas
[ "congrArg", "Array.mapIdx", "Array", "Nat", "True", "eq_self", "of_eq_true", "congrFun'", "Array.size_mapIdx", "Eq", "Array.size", "Eq.trans" ]
false
Polynomial.degree_add_div
Mathlib.Algebra.Polynomial.FieldDivision
[ "WithBot.instPreorder", "Eq.mpr", "WithBot", "Trans.trans", "IsDomain.to_noZeroDivisors", "Preorder.toLT", "instHDiv", "Polynomial.instMod", "HMul.hMul", "EuclideanDomain.mod_lt", "congrArg", "CommSemiring.toSemiring", "instTransLTLE", "Preorder.toLE", "EuclideanDomain.div_add_mod", "m...
true
MeasureTheory.OuterMeasure.mk._flat_ctor
Mathlib.MeasureTheory.OuterMeasure.Defs
[ "MeasureTheory.OuterMeasure.mk", "Function.onFun", "ENNReal.instAddCommMonoid", "CompleteBooleanAlgebra.toCompleteDistribLattice", "Disjoint", "CompleteLattice.toConditionallyCompleteLattice", "MeasureTheory.OuterMeasure", "HasSubset.Subset", "LE.le", "tsum", "Nat", "ENNReal.instLE", "Pairwi...
false
CategoryTheory.Pseudofunctor.StrongTrans.comp_app
Mathlib.CategoryTheory.Bicategory.NaturalTransformation.Pseudo
[ "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "CategoryTheory.Pseudofunctor.toPrelaxFunctor", "CategoryTheory.Bicategory.toCategoryStruct", "CategoryTheory.PrelaxFunctor.toPrelaxFunctorStruct", "CategoryTheory.Bicategory", "CategoryTheory.Pseudofunctor", "CategoryTheory.CategoryStruct.comp",...
true
CategoryTheory.Limits.PreservesPullback.iso_inv_snd_assoc
Mathlib.CategoryTheory.Limits.Preserves.Shapes.Pullbacks
[ "CategoryTheory.Category.assoc", "CategoryTheory.Limits.pullback", "CategoryTheory.Functor", "CategoryTheory.Limits.PreservesLimit", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "congrArg", "CategoryTheory.Limits.pullback.snd", "CategoryTheory.Limits.PreservesPullback.iso_inv_snd", "Cat...
true
Int32.toInt8_add
Init.Data.SInt.Lemmas
[ "Int32.toBitVec", "BitVec.setWidth", "Int8.toBitVec_add", "Int32.toInt8", "congrArg", "BitVec.instAdd", "Int8", "BitVec.setWidth_add", "BitVec", "Int8.toBitVec_inj", "instOfNatNat", "LE.le", "instLENat", "Int32.toBitVec_add", "Bool.true", "instHAdd", "instAddInt8", "HAdd.hAdd", "...
true
_private.Mathlib.Tactic.FieldSimp.0.Mathlib.Tactic.FieldSimp.reduceLtQ.match_1
Mathlib.Tactic.FieldSimp
[ "Mathlib.Tactic.FieldSimp.DenomCondition.positive", "Lean.Expr.const", "Lean.Name.mkStr5", "Mathlib.Tactic.FieldSimp.qNF.toNF", "Prod.mk", "Lean.Expr.sort", "Lean.Level", "List.cons", "Qq.Quoted", "Mathlib.Tactic.FieldSimp.qNF", "Qq.Quoted.unsafeMk", "Mathlib.Tactic.FieldSimp.DenomCondition.pr...
false
LinearMap.lTensor_tmul
Mathlib.LinearAlgebra.TensorProduct.Map
[ "CommSemiring.toSemiring", "TensorProduct.addCommMonoid", "LinearMap.instFunLike", "LinearMap.lTensor", "LinearMap", "AddCommMonoid", "CommSemiring", "TensorProduct", "TensorProduct.tmul", "Module", "RingHom.id", "Semiring.toNonAssocSemiring", "Eq", "DFunLike.coe", "rfl", "TensorProduc...
true
_private.Lean.Elab.Syntax.0.Lean.Elab.Term.toParserDescr.process._unsafe_rec
Lean.Elab.Syntax
[ "Lean.Core.instMonadTraceCoreM", "Lean.instMonadEnvOfMonadLift", "Lean.MessageData", "Lean.MonadError.mk", "Lean.instMonadExceptOfExceptionCoreM", "Lean.Elab.Term.instAddErrorMessageContextTermElabM", "Lean.Elab.Term.instMonadMacroAdapterTermElabM", "Lean.Core.instMonadResolveNameCoreM", "Lean.Core....
false
_private.Std.Tactic.BVDecide.LRAT.Internal.Formula.RupAddSound.0.Std.Tactic.BVDecide.LRAT.Internal.DefaultFormula.confirmRupHint_preserves_motive._simp_1_15
Std.Tactic.BVDecide.LRAT.Internal.Formula.RupAddSound
[ "List.all", "Membership.mem", "Bool.true", "List", "List.instMembership", "List.all_eq_true", "propext", "Bool", "Eq" ]
false
MulOpposite.instSemiring._proof_2
Mathlib.Algebra.Ring.Opposite
[ "HMul.hMul", "MulOpposite", "NonAssocSemiring.one_mul", "NonAssocSemiring.toOne", "NonUnitalNonAssocSemiring.toMul", "NonAssocSemiring.toNonUnitalNonAssocSemiring", "Semiring", "One.toOfNat1", "OfNat.ofNat", "Semiring.toNonAssocSemiring", "Eq", "MulOpposite.instNonAssocSemiring", "instHMul" ...
false
measurable_prodMk_left
Mathlib.MeasureTheory.MeasurableSpace.Constructions
[ "measurable_id", "Measurable", "Measurable.prodMk", "Prod.mk", "MeasurableSpace", "measurable_const", "Prod", "Prod.instMeasurableSpace" ]
true
Caratheodory.mem_minCardFinsetOfMemConvexHull
Mathlib.Analysis.Convex.Caratheodory
[ "ChainCompletePartialOrder.instOfCompleteLattice", "AddCommGroup.toAddCommMonoid", "Finset", "LinearOrder", "PartialOrder.toPreorder", "setOf", "IsStrictOrderedRing", "Membership.mem", "SemilatticeInf.toPartialOrder", "AddCommGroup", "DistribLattice.toLattice", "HasSubset.Subset", "ClosureOp...
true
Mathlib.Tactic.BicategoryLike.MkMor₂.noConfusionType
Mathlib.Tactic.CategoryTheory.Coherence.Datatypes
[ "Mathlib.Tactic.BicategoryLike.Mor₂", "Lean.Expr", "Mathlib.Tactic.BicategoryLike.MkMor₂.casesOn", "Mathlib.Tactic.BicategoryLike.MkMor₂", "HEq" ]
false
_private.Mathlib.Analysis.Analytic.Order.0.AnalyticOnNhd.codiscreteWithin_setOf_analyticOrderAt_eq_zero_or_top._simp_1_2
Mathlib.Analysis.Analytic.Order
[ "Filter.instMembership", "Compl.compl", "Filter.instCompleteLatticeFilter", "PartialOrder.toPreorder", "Preorder.toLE", "Disjoint", "Membership.mem", "CompleteLattice.toBoundedOrder", "Set.instCompl", "BoundedOrder.toOrderBot", "propext", "Filter.principal", "Eq", "Filter", "Filter.instP...
false
_private.Mathlib.Order.Birkhoff.0.OrderIso.supIrredLowerSet_symm_apply._simp_1_1
Mathlib.Order.Birkhoff
[ "OrderIso.symm_apply_eq", "OrderIso", "OrderIso.symm", "LE", "instFunLikeOrderIso", "propext", "Eq", "DFunLike.coe" ]
false
Std.TreeMap.Raw.size_left_le_size_union
Std.Data.TreeMap.Raw.Lemmas
[ "Std.TreeMap.Raw.instUnion", "Std.TreeMap.Raw.WF.out", "Ordering", "Std.TreeMap.Raw.size", "LE.le", "Std.TransCmp", "Std.TreeMap.Raw.WF", "instLENat", "Std.TreeMap.Raw.inner", "Std.TreeMap.Raw", "Nat", "Union.union", "Std.DTreeMap.Raw.size_left_le_size_union" ]
true
CategoryTheory.createsColimitOfFullyFaithfulOfLift
Mathlib.CategoryTheory.Limits.Creates
[ "CategoryTheory.Functor", "CategoryTheory.Limits.Cocone", "CategoryTheory.Functor.mapCocone", "CategoryTheory.createsColimitOfFullyFaithfulOfLift'", "CategoryTheory.Functor.comp", "CategoryTheory.Limits.colimit.isColimit", "CategoryTheory.Iso", "CategoryTheory.CreatesColimit", "CategoryTheory.Limits...
true
SSet.π₀.fromChainComplexXZero.eq_1
Mathlib.AlgebraicTopology.SimplicialSet.Homology.HomologyZero
[ "CategoryTheory.Functor", "CategoryTheory.Limits.hasColimitOfHasColimitsOfShape", "Opposite", "Nat.instOne", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "CategoryTheory.Functor.category", "AddRightCancelSemigroup.toAddSemigroup", "AddCancelMonoid.toAddRightCancelMonoid", "CategoryTheor...
true
Bifunctor.mapEquiv_apply
Mathlib.Logic.Equiv.Functor
[ "Equiv.instEquivLike", "Bifunctor.mapEquiv", "Equiv", "Bifunctor.bimap", "Bifunctor", "LawfulBifunctor", "Eq", "DFunLike.coe", "rfl", "EquivLike.toFunLike" ]
true
CategoryTheory.Functor.FullyFaithful.addGrpObj_zero
Mathlib.CategoryTheory.Monoidal.Grp
[ "CategoryTheory.Functor", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "CategoryTheory.Functor.FullyFaithful.addGrpObj", "CategoryTheory.SemiCartesianMonoidalCategory.toMonoidalCategory", "CategoryTheory.CartesianMonoidalCategory", "CategoryTheory.AddMonObj.zero", "CategoryTheory.AddGrpObj"...
true
Lean.Elab.Structural.RecArgInfo.mk._flat_ctor
Lean.Elab.PreDefinition.Structural.RecArgInfo
[ "Lean.Elab.Structural.RecArgInfo.mk", "Array", "Nat", "Lean.Name", "Lean.Elab.Structural.RecArgInfo", "Lean.Elab.Structural.IndGroupInst", "Lean.Elab.FixedParamPerm" ]
false
IndepMatroid.matroid
Mathlib.Combinatorics.Matroid.IndepAxioms
[ "Matroid.mk", "IndepMatroid.matroid._proof_5", "Membership.mem", "IndepMatroid.matroid._proof_3", "IndepMatroid.matroid._proof_4", "SDiff.sdiff", "Set.instLE", "IndepMatroid", "Maximal", "IndepMatroid.indep_maximal", "Set.instMembership", "Matroid", "IndepMatroid.E", "IndepMatroid.matroid....
true
instNormedAddTorsorProd
Mathlib.Analysis.Normed.Group.AddTorsor
[ "SeminormedAddCommGroup", "AddCommGroup.toAddGroup", "NormedAddTorsor.mk", "Prod.instAddTorsor", "PseudoMetricSpace", "NormedAddTorsor.toAddTorsor", "SeminormedAddCommGroup.toAddCommGroup", "Prod.pseudoMetricSpaceMax", "Prod", "Prod.seminormedAddCommGroup", "instNormedAddTorsorProd._proof_1", ...
true
_private.Mathlib.Topology.ClusterPt.0.accPt_iff_frequently._simp_1_3
Mathlib.Topology.ClusterPt
[ "and_comm", "And", "propext", "Eq" ]
false
Lean.Meta.SynthInstance.Answer.resultType
Lean.Meta.SynthInstance
[ "Lean.Meta.SynthInstance.Answer", "Lean.Expr" ]
true
Module.End.IsSemisimple.of_mem_adjoin_pair
Mathlib.LinearAlgebra.Semisimple
[ "Ideal.Quotient.isScalarTower", "Subalgebra.instSetLike", "Module.End.instRing", "Iff.mpr", "Semigroup", "PerfectField", "Module.AEval'._proof_2", "Ideal.Quotient.commSemiring", "Eq.mpr", "Polynomial.C", "_private.Mathlib.LinearAlgebra.Semisimple.0.Module.End.IsSemisimple.of_mem_adjoin_pair._sim...
true
_private.Lean.Compiler.LCNF.ToLCNF.0.Lean.Compiler.LCNF.ToLCNF.seqToCode.go.match_1.splitter
Lean.Compiler.LCNF.ToLCNF
[ "Lean.Compiler.LCNF.ToLCNF.Element.let", "Lean.Compiler.LCNF.ToLCNF.Element.cases", "Lean.Compiler.LCNF.FunDecl", "_private.Lean.Compiler.LCNF.ToLCNF.0.Lean.Compiler.LCNF.ToLCNF.seqToCode.go.match_1", "Lean.Compiler.LCNF.Purity.pure", "Lean.Compiler.LCNF.ToLCNF.Element", "Lean.Compiler.LCNF.ToLCNF.Eleme...
true
Std.ExtDHashMap.Const.alter_eq_empty_iff_erase_eq_empty
Std.Data.ExtDHashMap.Lemmas
[ "Option.isNone", "Eq.mpr", "Std.ExtDHashMap.isEmpty", "congrArg", "_private.Std.Data.ExtDHashMap.Lemmas.0.Std.ExtDHashMap.Const.alter_eq_empty_iff_erase_eq_empty._simp_1_1", "Std.ExtDHashMap.Const.alter", "Std.ExtDHashMap.instEmptyCollection", "_private.Std.Data.ExtDHashMap.Lemmas.0.Std.ExtDHashMap.Co...
true
Lean.IR.EmitLLVM.callLeanSetupLibUV
Lean.Compiler.IR.EmitLLVM
[ "LLVM.functionType", "Lean.IR.EmitLLVM.State", "Lean.IR.EmitLLVM.M", "Lean.IR.EmitLLVM.Context", "LLVM.i8Type", "ReaderT", "Lean.IR.EmitLLVM.getLLVMModule", "String", "LLVM.buildCall2", "Lean.IR.EmitLLVM.getOrCreateFunctionPrototype", "instMonadLiftT", "IO", "LLVM.LLVMType", "ReaderT.instM...
true
MonoidHom.ofLeftInverse
Mathlib.Algebra.Group.Subgroup.Ker
[ "MonoidHom.range", "Function.LeftInverse", "MonoidHom.instFunLike", "MonoidHom.rangeRestrict", "MonoidHom", "Monoid.toMulOneClass", "Subgroup.subtype", "Subgroup.mul", "Group", "Function.comp", "Membership.mem", "MonoidHom.ofLeftInverse._proof_1", "Equiv.mk", "MulOne.toMul", "Subtype", ...
true
Set.sUnion_eq_biUnion
Mathlib.Data.Set.Lattice
[ "Eq.mpr", "congrArg", "Set.image_id'", "Set.sUnion", "Membership.mem", "id", "Set.sUnion_image", "Eq.refl", "Set.image", "Eq.symm", "Eq", "Set.instMembership", "Set.iUnion", "Set" ]
true
Lean.Meta.instInhabitedAuxLemmas.default
Lean.Meta.Tactic.AuxLemma
[ "Inhabited.default", "Lean.Meta.AuxLemmas.mk", "Lean.Meta.AuxLemmas", "Lean.PHashMap", "Lean.Meta.instBEqAuxLemmaKey", "Lean.Meta.instHashableAuxLemmaKey", "List", "Lean.PersistentHashMap.instInhabited", "Lean.Name", "Prod", "Lean.Meta.AuxLemmaKey" ]
true
BoxIntegral.Prepartition.biUnion_top
Mathlib.Analysis.BoxIntegral.Partition.Basic
[ "BoxIntegral.Prepartition", "congrArg", "Membership.mem", "Exists", "BoxIntegral.Prepartition.instOrderTop", "BoxIntegral.Prepartition.ext", "iff_self", "exists_eq_right'._simp_1", "funext", "And", "Iff", "OrderTop.toTop", "True", "of_eq_true", "BoxIntegral.Prepartition.mem_biUnion._simp...
true
Finset.disjiUnion_map_sigma_mk
Mathlib.Data.Finset.Sigma
[ "Finset", "Finset.map", "Finset.sigma", "Finset.disjiUnion", "Finset.pairwiseDisjoint_map_sigmaMk", "Function.Embedding.sigmaMk", "Eq", "Sigma", "rfl" ]
true
CategoryTheory.Triangulated.Octahedron'.mem
Mathlib.CategoryTheory.Triangulated.Triangulated
[ "CategoryTheory.Triangulated.Octahedron'.m₁", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "CategoryTheory.Functor.Additive", "CategoryTheory.shiftFunctor", "Membership.mem", "CategoryTheory.Triangulated.Octahedron'.m₃", "Int", "Int.instAddMonoid", "CategoryTheory.Pretriangulated.Triang...
true
instCompleteLatticeStructureGroupoid._proof_4
Mathlib.Geometry.Manifold.StructureGroupoid
[ "Preorder.toLT", "Lattice.toSemilatticeSup", "completeLatticeOfInf", "CompleteLattice.toLattice", "StructureGroupoid.partialOrder", "PartialOrder.toPreorder", "Preorder.toLE", "StructureGroupoid", "instCompleteLatticeStructureGroupoid._proof_1", "LE.le", "TopologicalSpace", "instInfSetStructur...
false
DistribMulActionSemiHomClass.toAddMonoidHomClass
Mathlib.GroupTheory.GroupAction.Hom
[ "Monoid", "DistribMulActionSemiHomClass", "outParam", "AddMonoid.toAddZeroClass", "AddZeroClass.toAddZero", "AddMonoidHomClass", "AddMonoid", "DistribMulAction", "FunLike" ]
true
Prod.map_involutive._simp_1
Mathlib.Data.Prod.Basic
[ "Prod.map", "Prod.map_involutive", "And", "propext", "Function.Involutive", "Nonempty", "Prod", "Eq" ]
false
qrSign.sq_eq_one
Mathlib.NumberTheory.LegendreSymbol.JacobiSymbol
[ "one_pow", "Eq.mpr", "MulOne.toOne", "instHDiv", "NonUnitalCommRing.toNonUnitalNonAssocCommRing", "HMul.hMul", "qrSign", "neg_one_sq", "Monoid.toMulOneClass", "CommSemiring.toNonUnitalCommSemiring", "congrArg", "Odd", "qrSign.neg_one_pow", "id", "MulOne.toMul", "HDiv.hDiv", "Int.inst...
true
Nat.factorization_choose'
Mathlib.Data.Nat.Choose.Factorization
[ "Finsupp.instFunLike", "Eq.mpr", "Nat.add_right_cancel", "Nat.instMulZeroClass", "Nat.instOrderedSub", "Semigroup.toMul", "Nat.Prime", "Nat.choose", "instHDiv", "Nat.instIsOrderedAddMonoid", "HMul.hMul", "AddLeftCancelSemigroup.toIsLeftCancelAdd", "Iff.of_eq", "Nat.factorization_factorial"...
true
CategoryTheory.AsSmall.instAdditiveDown
Mathlib.CategoryTheory.Abelian.Transfer
[ "CategoryTheory.Equivalence.fullyFaithfulFunctor", "CategoryTheory.Functor.Additive", "CategoryTheory.AsSmall.preadditive", "CategoryTheory.Equivalence.functor", "CategoryTheory.instSmallCategoryAsSmall", "CategoryTheory.AsSmall.equiv", "CategoryTheory.Preadditive", "CategoryTheory.AsSmall", "Catego...
true
_private.Init.Data.Range.Polymorphic.PRange.0.Std.instDecidableEqRcc.decEq._proof_3
Init.Data.Range.Polymorphic.PRange
[ "False", "Std.Rcc.mk.noConfusion", "eq_of_heq", "HEq", "Std.Rcc.mk", "Eq", "Std.Rcc", "Not" ]
false
Equiv.Perm.VectorsProdEqOne.one_eq
Mathlib.GroupTheory.Perm.Cycle.Type
[ "Eq.mpr", "MulOne.toOne", "InvOneClass.toOne", "HMul.hMul", "DivInvOneMonoid.toInvOneClass", "Monoid.toMulOneClass", "congrArg", "Equiv.Perm.vectorsProdEqOne", "List.Vector.head", "List.Vector.eq_nil", "List.Vector", "HSub.hSub", "Group", "Group.toDivisionMonoid", "Membership.mem", "Di...
true
UInt8.not_lt
Init.Data.UInt.Lemmas
[ "UInt8.le_iff_toBitVec_le._simp_1", "congrArg", "BitVec", "BitVec.not_lt._simp_1", "UInt8.lt_iff_toBitVec_lt._simp_1", "instLTUInt8", "instOfNatNat", "LE.le", "UInt8.toBitVec", "iff_self", "Iff", "instLTBitVec", "Nat", "congr", "LT.lt", "True", "of_eq_true", "instLEBitVec", "OfNa...
true
ContinuousLinearMap.coprodSubtypeLEquivOfIsCompl._proof_5
Mathlib.Analysis.Normed.Operator.Banach
[ "NormedCommRing.toNormedRing", "Submodule", "instUniformSpaceProd", "CompleteSpace", "NormedRing.toRing", "NormedSpace", "AddCommGroup.toAddCommMonoid", "NormedSpace.toModule", "PseudoMetricSpace.toUniformSpace", "instUniformSpaceSubtype", "Membership.mem", "NormedField.toField", "Subtype", ...
false
Std.ExtDHashMap.Const.getKey_insertManyIfNewUnit_list_of_mem
Std.Data.ExtDHashMap.Lemmas
[ "Eq.mpr", "Std.ExtDHashMap.inner", "Std.DHashMap.Const.insertManyIfNewUnit", "Std.ExtDHashMap.instMembershipOfEquivBEqOfLawfulHashable", "congrArg", "instForInOfForIn'", "Quot.pliftOn._proof_2", "Membership.mem", "inferInstance", "id", "Std.DHashMap.Const.getKey_insertManyIfNewUnit_list_of_mem",...
true
Filter.map₂_eq_bot_iff
Mathlib.Order.Filter.NAry
[ "SProd.sprod", "congrArg", "Filter.map", "Bot.bot", "Prod.fst", "_private.Mathlib.Order.Filter.NAry.0.Filter.map₂_eq_bot_iff._simp_1_1", "Filter.map_eq_bot_iff._simp_1", "iff_self", "Iff", "True", "of_eq_true", "Filter.prod_eq_bot._simp_1", "Filter.map₂", "congrFun'", "Or", "Prod", "...
true
_private.Lean.Elab.Match.0.Lean.Elab.Term.isPatternVar.match_1
Lean.Elab.Match
[ "Lean.ConstructorVal", "Option.ctorIdx", "_private.Lean.Elab.Match.0.Lean.Elab.Term.isPatternVar._sparseCasesOn_1", "Option.some", "_private.Lean.Elab.Match.0.Lean.Elab.Term.ToDepElimPattern.mkPatternRefMap.go._sparseCasesOn_1", "Nat.hasNotBit", "Lean.ConstantInfo.ctorIdx", "Lean.ConstantInfo.ctorInfo...
false
CategoryTheory.SimplicialObject.Augmented.whiskeringObj.eq_1
Mathlib.AlgebraicTopology.SimplicialObject.Basic
[ "CategoryTheory.Functor", "CategoryTheory.Comma.right", "Opposite", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "CategoryTheory.Functor.constComp", "CategoryTheory.SimplicialObject.const", "CategoryTheory.SimplicialObject.Augmented.point", "CategoryTheory.Functor.mk", "CategoryTheory.S...
true
Std.DTreeMap.getKey!_inter_of_mem_right
Std.Data.DTreeMap.Lemmas
[ "Std.DTreeMap.instInter", "Std.DTreeMap", "congrArg", "Std.DTreeMap.getKey!", "Ord.mk", "Membership.mem", "Ordering", "Eq.mp", "Std.DTreeMap.inner", "Std.TransCmp", "Inter.inter", "Std.DTreeMap.instMembership", "Bool.true", "Std.DTreeMap.wf", "propext", "Bool", "Std.DTreeMap.mem_iff_...
true
EuclideanGeometry.Concyclic.mk
Mathlib.Geometry.Euclidean.Sphere.Basic
[ "EuclideanGeometry.Cospherical", "Real", "NormedSpace", "NormedSpace.toModule", "NormedAddTorsor.toAddTorsor", "MetricSpace", "EuclideanGeometry.Concyclic", "Real.instDivisionRing", "NormedAddCommGroup.toAddCommGroup", "MetricSpace.toPseudoMetricSpace", "Real.normedField", "EuclideanGeometry.C...
true
Std.DTreeMap.Raw.get?_ofList_of_mem
Std.Data.DTreeMap.Raw.Lemmas
[ "Std.DTreeMap.Raw.get?", "Std.DTreeMap.Raw.ofList", "Std.DTreeMap.Raw.get?_insertMany_list_of_mem._proof_1", "List.Pairwise", "Ord.mk", "Option.some", "cast", "Membership.mem", "Ordering", "Ordering.eq", "Std.DTreeMap.Internal.Impl.get?_insertMany_empty_list_of_mem", "Sigma.fst", "Std.TransC...
true
OrderIso.bddBelow_preimage._simp_1
Mathlib.Order.GaloisConnection.Basic
[ "Preorder.toLE", "OrderIso.bddBelow_preimage", "OrderIso", "instFunLikeOrderIso", "Set.preimage", "BddBelow", "propext", "Eq", "DFunLike.coe", "Preorder", "Set" ]
false
CategoryTheory.Limits.WalkingReflexivePair._sizeOf_1
Mathlib.CategoryTheory.Limits.Shapes.Reflexive
[ "CategoryTheory.Limits.WalkingReflexivePair.rec", "instOfNatNat", "Nat", "OfNat.ofNat", "CategoryTheory.Limits.WalkingReflexivePair" ]
false
QPF.recF._f
Mathlib.Data.QPF.Univariate.Basic
[ "WType.below", "PFunctor.A", "WType", "PFunctor.B", "QPF", "PFunctor.W", "QPF.recF.match_1", "QPF.P", "WType.mk", "QPF.abs", "Sigma.mk" ]
false
DilationEquiv.apply_symm_apply
Mathlib.Topology.MetricSpace.DilationEquiv
[ "Equiv.right_inv", "DilationEquiv.instEquivLike", "DilationEquiv.toEquiv", "PseudoEMetricSpace", "DilationEquiv.symm", "DilationEquiv", "Eq", "DFunLike.coe", "EquivLike.toFunLike" ]
true
CategoryTheory.ExponentiableMorphism.instChosenPullbacksAlongHomMk._aux_1
Mathlib.CategoryTheory.LocallyCartesianClosed.ExponentiableMorphism
[ "CategoryTheory.ChosenPullbacksAlong", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "CategoryTheory.Over.mk", "CategoryTheory.Over.left", "CategoryTheory.Category.toCategoryStruct", "CategoryTheory.Over.hom", "CategoryTheory.Category" ]
false
_private.Mathlib.Data.List.Induction.0.List.bidirectionalRec.match_1.splitter
Mathlib.Data.List.Induction
[ "List.cons", "List", "Unit", "List.bidirectionalRec.match_1", "List.nil" ]
true
_private.Mathlib.Analysis.SpecialFunctions.Integrability.LogMeromorphic.0.MeromorphicOn.circleIntegrable_posLog_norm._simp_1_1
Mathlib.Analysis.SpecialFunctions.Integrability.LogMeromorphic
[ "Real", "HMul.hMul", "Real.lattice", "Real.posLog", "abs", "Real.instInv", "Nat.instAtLeastTwoHAddOfNat", "Real.instAddGroup", "instOfNatNat", "Real.log", "Real.instAdd", "instHAdd", "Inv.inv", "HAdd.hAdd", "Nat.instNeZeroSucc", "Nat", "Real.instMul", "Real.half_mul_log_add_log_abs...
false
Polynomial.natSepDegree_X_pow
Mathlib.FieldTheory.SeparableDegree
[ "Polynomial.natSepDegree_pow", "congrArg", "Polynomial.natSepDegree_X", "instOfNatNat", "Field.toSemifield", "Polynomial", "Monoid.toPow", "Semifield.toDivisionSemiring", "Polynomial.natSepDegree", "HPow.hPow", "Polynomial.semiring", "Nat", "True", "eq_self", "Semiring.toMonoid", "Divi...
true
_private.Init.Data.BitVec.Bitblast.0.BitVec.DivModState.toNat_shiftRight_sub_one_eq._proof_1_4
Init.Data.BitVec.Bitblast
[ "instPowNat", "Nat.lt_of_not_le", "Int.instDiv", "False", "Lean.Omega.Constraint.not_sat'_of_isImpossible", "instHDiv", "HMul.hMul", "Int.natCast_add", "of_decide_eq_true", "le_of_le_of_eq", "Lean.Omega.Constraint.mk", "Lean.Omega.Constraint.combine_sat'", "BitVec.DivModState.wr", "Int.add...
false
_private.Mathlib.RingTheory.Polynomial.Chebyshev.0.Polynomial.Chebyshev.S_eq_U_comp_half_mul_X._simp_1_2
Mathlib.RingTheory.Polynomial.Chebyshev
[ "Polynomial.C", "NonAssocSemiring.toAddCommMonoidWithOne", "Polynomial.C_eq_natCast", "RingHom", "AddMonoidWithOne.toNatCast", "AddCommMonoidWithOne.toAddMonoidWithOne", "Nat.cast", "Polynomial", "RingHom.instFunLike", "Polynomial.semiring", "Nat", "Semiring", "Eq.symm", "Semiring.toNonAss...
false
MvPFunctor.M.Path.inhabited._proof_2
Mathlib.Data.PFunctor.Multivariate.M
[ "MvPFunctor", "PFunctor.A", "PFunctor.Obj", "PFunctor.M.casesOn'", "PFunctor.M", "PFunctor.B", "instOfNatNat", "PFunctor.M.children", "instHAdd", "HAdd.hAdd", "Nat", "MvPFunctor.last", "PFunctor.M.dest", "instAddNat", "PFunctor.M.head", "Sigma.mk", "OfNat.ofNat", "Eq", "MvPFuncto...
false
Filter.eventuallyLE_map
Mathlib.Order.Filter.Map
[ "Filter.map", "Iff.rfl", "Function.comp", "LE", "Iff", "Filter.EventuallyLE", "Filter" ]
true
Std.Rci.forIn'_eq_forIn'_toList
Init.Data.Range.Polymorphic.Lemmas
[ "Std.Iter.instForIn'", "Std.Rci", "Std.PRange.UpwardEnumerable", "Std.Iter.mem_toList_iff_isPlausibleIndirectOutput", "congrArg", "Std.Rci.toList", "Std.Rxi.Iterator.instLawfulDeterministicIterator", "Std.Rci.mem_toList_iff_mem", "Std.Rci.instMembershipOfLE", "Std.Rxi.instIteratorIteratorIdOfUpwar...
true
_private.Mathlib.Analysis.CStarAlgebra.ContinuousFunctionalCalculus.Isometric.0._aux_Mathlib_Analysis_CStarAlgebra_ContinuousFunctionalCalculus_Isometric___unexpand_spectrum_1
Mathlib.Analysis.CStarAlgebra.ContinuousFunctionalCalculus.Isometric
[ "Pure.pure", "cond", "Lean.TSyntax", "Unit.unit", "Lean.MonadRef.mkInfoFromRefPos", "Lean.Name.mkNum", "instMonadExceptOfMonadExceptOf", "Lean.SourceInfo", "Lean.PrettyPrinter.UnexpandM", "MonadExcept.throw", "Lean.Syntax.isOfKind", "EStateM.instMonad", "Lean.Syntax.atom", "Lean.TSyntax.mk...
false
MulOpposite.instNormedRing._proof_3
Mathlib.Analysis.Normed.Ring.Basic
[ "Norm.norm", "SeminormedRing.toNorm", "Real.instLE", "Semigroup.toMul", "Real", "HMul.hMul", "MulOpposite", "SeminormedRing.toRing", "LE.le", "SeminormedRing.norm_mul_le", "Real.instMul", "NormedRing.toSeminormedRing", "Semiring.toMonoid", "Monoid.toSemigroup", "Ring.toSemiring", "Norm...
false
Subtype.mk_le_mk._gcongr_1
Mathlib.Order.Basic
[ "Iff.mpr", "Subtype", "LE.le", "LE", "Subtype.mk", "Subtype.mk_le_mk", "Subtype.instLE" ]
false
Lean.Level.zero._override
Lean.Level
[ "Lean.Level", "Lean.Level._impl", "unsafeCast", "Lean.Level.zero._impl" ]
false
CategoryTheory.uliftYonedaOpCompCoyoneda._proof_1
Mathlib.CategoryTheory.Yoneda
[ "CategoryTheory.Functor.op", "Eq.mpr", "CategoryTheory.Functor", "Opposite", "Equiv.instEquivLike", "CategoryTheory.coyoneda", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "congrArg", "CategoryTheory.ConcreteCategory.hom", "Equiv.trans", "CategoryTheory.Functor.category", "ULift",...
false
BoundedOrderHom.symm_dual_comp
Mathlib.Order.Hom.Bounded
[ "Equiv.instEquivLike", "BoundedOrderHom", "Preorder.toLE", "Equiv", "BoundedOrderHom.dual", "OrderDual", "Equiv.symm", "BoundedOrder", "OrderDual.instPreorder", "BoundedOrderHom.comp", "Eq", "DFunLike.coe", "rfl", "Preorder", "EquivLike.toFunLike", "OrderDual.instBoundedOrder" ]
true
_private.Mathlib.Analysis.SpecialFunctions.Elliptic.Weierstrass.0.PeriodPair.relation_add_coe
Mathlib.Analysis.SpecialFunctions.Elliptic.Weierstrass
[ "Eq.mpr", "Submodule", "PeriodPair.g₂", "NonUnitalCommRing.toNonUnitalNonAssocCommRing", "instSubsingletonDecidable", "HMul.hMul", "_private.Mathlib.Analysis.SpecialFunctions.Elliptic.Weierstrass.0.PeriodPair.relation", "AddSubgroup.mem_mk._simp_1", "Submodule.toAddSubmonoid", "congrArg", "AddCo...
true
Nat.stirlingSecond_self
Mathlib.Combinatorics.Enumerative.Stirling
[ "Nat.instMulZeroClass", "Nat.recAux", "HMul.hMul", "congrArg", "Nat.lt_succ_self", "instMulNat", "instOfNatNat", "MulZeroClass.mul_zero", "instHAdd", "Nat.stirlingSecond_eq_zero_of_lt", "HAdd.hAdd", "Nat", "congr", "True", "eq_self", "of_eq_true", "instAddNat", "Zero.toOfNat0", "...
true
NormalizationMonoid.normUnit_coe_units
Mathlib.Algebra.GCDMonoid.Basic
[ "Units.val", "NormalizationMonoid", "Units", "CommMonoidWithZero.toMonoidWithZero", "Inv.inv", "CommMonoidWithZero", "Eq", "Units.instInv", "NormalizationMonoid.normUnit", "MonoidWithZero.toMonoid" ]
true
FixedDetMatrices.reduce._proof_2
Mathlib.LinearAlgebra.Matrix.FixedDetMatrices
[ "Int.instAddCommGroup", "Int.emod_lt_abs", "Iff.mpr", "NonUnitalNonAssocCommRing.toNonUnitalNonAssocCommSemiring", "Eq.mpr", "NegZeroClass.toNeg", "instNeZeroNatHAdd_1", "Int.instDiv", "Int.ofNat_lt._simp_2", "neg_smul", "instHSMul", "Matrix.SpecialLinearGroup", "instHDiv", "NonUnitalCommR...
false
WeierstrassCurve.Projective.instSetoidForallFinOfNatNat
Mathlib.AlgebraicGeometry.EllipticCurve.Projective.Basic
[ "Units.instMulAction", "CommRing", "CommSemiring.toSemiring", "Units", "Setoid", "MulAction.orbitRel", "instOfNatNat", "Units.instGroup", "CommRing.toCommSemiring", "Nat", "Pi.mulAction", "Semiring.toMonoid", "Monoid.toMulAction", "OfNat.ofNat", "Fin" ]
true
_private.Init.Data.Iterators.Lemmas.Producers.Monadic.List.0.Std.IterM.toArray_eq_match_step.match_1.eq_3
Init.Data.Iterators.Lemmas.Producers.Monadic.List
[ "Unit.unit", "Std.IterStep", "Std.IterStep.skip", "Unit", "Std.IterStep.yield", "Std.IterStep.done", "Eq.refl", "Std.IterM.toArray_eq_match_step.match_1", "Std.IterM", "Eq" ]
true
Lean.Elab.Tactic.BVDecide.Frontend.Normalize.TypeAnalysis.recOn
Lean.Elab.Tactic.BVDecide.Frontend.Normalize.Basic
[ "Lean.Elab.Tactic.BVDecide.Frontend.Normalize.TypeAnalysis.mk", "Std.HashSet", "Lean.Elab.Tactic.BVDecide.Frontend.Normalize.TypeAnalysis.rec", "Std.HashMap", "Lean.Elab.Tactic.BVDecide.Frontend.Normalize.MatchKind", "Lean.Elab.Tactic.BVDecide.Frontend.Normalize.TypeAnalysis", "Lean.Name", "Lean.Name....
false
Lean.Meta.Grind.Arith.Cutsat.VarInfo.maxLowerCoeff
Lean.Meta.Tactic.Grind.Arith.Cutsat.ReorderVars
[ "Nat", "Lean.Meta.Grind.Arith.Cutsat.VarInfo" ]
true
CategoryTheory.preadditiveYonedaMap.congr_simp
Mathlib.CategoryTheory.Abelian.Yoneda
[ "CategoryTheory.Functor.op", "CategoryTheory.Functor", "CategoryTheory.preadditiveYoneda", "Opposite", "CategoryTheory.CategoryStruct.toQuiver", "AddCommGrpCat.instCategory", "Quiver.Hom", "CategoryTheory.Functor.Additive", "CategoryTheory.Functor.category", "CategoryTheory.Functor.comp", "Categ...
true
CategoryTheory.Limits.limitIsoSwapCompLim_hom_app
Mathlib.CategoryTheory.Limits.FunctorCategory.Basic
[ "CategoryTheory.Functor.flip", "CategoryTheory.Functor", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "CategoryTheory.Limits.HasLimitsOfShape", "CategoryTheory.Functor.category", "CategoryTheory.Functor.comp", "CategoryTheory.Limits.lim", "CategoryTheory.Functor.uncurry", "CategoryTheor...
true
_private.Mathlib.Combinatorics.Matroid.Map.0.Matroid.instRankFiniteMap.match_1
Mathlib.Combinatorics.Matroid.Map
[ "Exists", "Matroid.IsBase", "Exists.casesOn", "Exists.intro", "Matroid", "Set" ]
false
CategoryTheory.CommSq.shortComplex_X₂
Mathlib.Algebra.Homology.CommSq
[ "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "CategoryTheory.CommSq", "CategoryTheory.CommSq.shortComplex", "CategoryTheory.Limits.HasBinaryBiproduct", "CategoryTheory.Limits.biprod", "CategoryTheory.Preadditive", "CategoryTheory.Preadditive.preadditiveHasZeroMorphisms", "Eq.refl", "Cat...
true
DoubleCentralizer.instNormedRing._proof_1
Mathlib.Analysis.CStarAlgebra.Multiplier
[ "instSMulOfMul", "ContinuousLinearMap.semiring", "NormedSpace", "DoubleCentralizer.toProdMulOpposite_injective", "DistribMulAction.toDistribSMul", "IsScalarTower", "IsSemitopologicalRing.toIsSemitopologicalSemiring", "NormedSpace.toModule", "AddMonoid.toAddZeroClass", "NonUnitalNonAssocRing.toAddC...
false
Module.End.isSemisimple_sub_algebraMap_iff._simp_1
Mathlib.LinearAlgebra.Semisimple
[ "CommRing", "instSMulOfMul", "Algebra.algebraMap", "CommSemiring.toSemiring", "AddCommGroup.toAddCommMonoid", "Module.End.instSemiring", "HSub.hSub", "RingHom", "AddCommGroup", "Module.End.isSemisimple_sub_algebraMap_iff", "LinearMap.instSub", "IsScalarTower.left", "smulCommClass_self", "i...
false
Set.ZSMul
Mathlib.Algebra.Group.Pointwise.Set.Basic
[ "SMul", "SMul.mk", "Int", "zsmulRec", "Set.zero", "Neg", "Set.add", "nsmulRec", "Set.neg", "Add", "Zero", "Set" ]
true
Lean.Grind.Linarith.instBEqExpr.beq._sparseCasesOn_3
Init.Grind.Ordered.Linarith
[ "Lean.Grind.Linarith.Expr.zero", "Lean.Grind.Linarith.Expr", "Lean.Grind.Linarith.Expr.ctorIdx", "Lean.Grind.Linarith.Expr.neg", "Lean.Grind.Linarith.Expr.intMul", "Nat.ne_of_beq_eq_false", "Lean.Grind.Linarith.Expr.natMul", "Nat.shiftRight", "Lean.Grind.Linarith.Expr.rec", "Lean.Grind.Linarith.Ex...
false
Ordinal.natCast_log._simp_1
Mathlib.SetTheory.Ordinal.Exponential
[ "AddMonoidWithOne.toNatCast", "Nat.cast", "Ordinal.addMonoidWithOne", "Ordinal.natCast_log", "Nat", "Ordinal.log", "Nat.log", "Eq.symm", "Eq", "Ordinal" ]
false