name
stringlengths
2
347
module
stringlengths
6
90
deps
listlengths
0
692
allowCompletion
bool
2 classes
ContDiffAt.log
Mathlib.Analysis.SpecialFunctions.Log.Deriv
[ "Iff.mpr", "ContDiffAt", "Real", "NormedSpace", "Real.denselyNormedField", "Real.instZero", "Real.contDiffAt_log", "Real.normedAddCommGroup", "Ne", "Real.log", "ENat", "Zero.toOfNat0", "NontriviallyNormedField.toNormedField", "Real.normedField", "ContDiffAt.comp", "DenselyNormedField.t...
true
Representation.equivOfIso._proof_4
Mathlib.RepresentationTheory.Rep.Basic
[ "Monoid", "Rep.V", "instHSMul", "DistribMulAction.toDistribSMul", "AddCommGroup.toAddCommMonoid", "Rep.hV2", "AddMonoid.toAddZeroClass", "Rep.instCategory", "Rep.hV1", "RingHom", "AddZeroClass.toAddZero", "CategoryTheory.Iso", "DistribSMul.toSMulZeroClass", "LinearMap.toAddHom", "AddZero...
false
LLVM.Attribute._sizeOf_inst
Lean.Compiler.IR.LLVMBindings
[ "LLVM.Attribute._sizeOf_1", "SizeOf.mk", "LLVM.Attribute", "SizeOf", "LLVM.Context" ]
false
MeasureTheory.Lp.constₗ_apply
Mathlib.MeasureTheory.Function.LpSpace.Indicator
[ "MeasureTheory.Measure", "NormedRing.toRing", "DistribMulAction.toDistribSMul", "AddCommGroup.toAddCommMonoid", "MeasureTheory.Lp.instModule", "AddMonoid.toAddZeroClass", "MeasureTheory.Lp.const", "LinearMap.instFunLike", "PseudoMetricSpace.toUniformSpace", "AddCommGroup.toAddGroup", "AddSubgrou...
true
_private.Mathlib.RingTheory.MvPolynomial.Symmetric.NewtonIdentities.0.MvPolynomial.psum_eq_mul_esymm_sub_sum._proof_1_5
Mathlib.RingTheory.MvPolynomial.Symmetric.NewtonIdentities
[ "Lean.RArray.leaf", "False", "Lean.Grind.not_not", "Lean.Grind.not_and", "AddMonoid.toAddSemigroup", "congrArg", "Int.Linear.le_norm_expr", "Int.Linear.le_unsat", "False.elim", "Classical.byContradiction", "Nat.not_le_eq", "Nat.Linear.ExprCnstr.eq_true_of_isValid", "Lean.Grind.Nat.lt_eq", ...
false
Set.biInter_insert
Mathlib.Data.Set.Lattice
[ "Iff.of_eq", "congrArg", "Set.iInter", "Membership.mem", "Insert.insert", "Set.instInter", "Inter.inter", "funext", "Set.instInsert", "Set.mem_insert_iff._simp_1", "True", "eq_self", "of_eq_true", "Eq.refl", "congrFun'", "Or", "Set.iInter_iInter_eq_or_left", "Eq", "Set.instMember...
true
MeasureTheory.Content.is_add_left_invariant_innerContent
Mathlib.MeasureTheory.Measure.Content
[ "Eq.mpr", "FrameHom", "TopologicalSpace.Opens.instCompleteLattice", "AddMonoid.toAddZeroClass", "TopologicalSpace.Opens", "SeparatelyContinuousAdd", "AddZeroClass.toAddZero", "MeasureTheory.Content", "toContinuousMap", "TopologicalSpace", "TopologicalSpace.Opens.comap", "instHAdd", "Homeomor...
true
Lean.Lsp.instFromJsonWorkDoneProgressParams.fromJson
Lean.Data.Lsp.Basic
[ "Pure.pure", "Lean.Lsp.WorkDoneProgressParams", "Lean.Json", "Lean.instFromJsonString", "Monad.toApplicative", "String", "Lean.instFromJsonOption", "Lean.Name.mkStr3", "Lean.Json.getObjValAs?", "Applicative.toPure", "ToString.toString", "Lean.Lsp.WorkDoneProgressParams.mk", "Except.instMonad...
true
Lean.MetavarDecl.lctx
Lean.MetavarContext
[ "Lean.MetavarDecl", "Lean.LocalContext" ]
true
_private.Mathlib.Data.List.Induction.0.List.reverseRec_concat._proof_1_5
Mathlib.Data.List.Induction
[ "Lean.Grind.AC.norm_ai", "Lean.RArray.leaf", "False", "Lean.Grind.AC.Expr.op", "Lean.Grind.nestedProof", "eq_false", "Lean.Grind.AC.eq_simp_rhs_prefix", "List.instAssociativeHAppend", "Lean.Grind.AC.Expr", "False.elim", "Lean.Grind.AC.Context", "List.getLast_append._proof_1", "Lean.Grind.AC....
false
homeomorphSphereProd._proof_7
Mathlib.Analysis.Normed.Module.Ball.RadialEquiv
[ "Norm.norm", "Eq.mpr", "Real.partialOrder", "Real", "Set.Ioi", "Preorder.toLT", "instHDiv", "MulZeroClass.toMul", "Real.instZero", "congrArg", "Compl.compl", "Real.instDivInvMonoid", "Real.instLT", "DivisionSemiring.toGroupWithZero", "Membership.mem", "Real.semiring", "Set.mem_Ioi", ...
false
instLinearOrderedAddCommMonoidWithTopAdditiveOrderDual._proof_1
Mathlib.Algebra.Order.GroupWithZero.Canonical
[ "CommMonoidWithZero.toCommMonoid", "Semigroup.toMul", "Equiv.instEquivLike", "LinearOrderedCommMonoidWithZero.toIsBotZeroClass", "HMul.hMul", "Additive.linearOrder", "AddMonoid.toAddSemigroup", "OrderDual.ofDual", "congrArg", "LinearOrderedCommMonoidWithZero.toOrderBot", "Additive", "MulZeroCl...
false
DirichletCharacter.Odd.eval_neg
Mathlib.NumberTheory.DirichletCharacter.Basic
[ "Eq.mpr", "NegZeroClass.toNeg", "MulOne.toOne", "CommRing", "NonUnitalCommRing.toNonUnitalNonAssocCommRing", "HMul.hMul", "CommRing.toNonUnitalCommRing", "ZMod.commRing", "Monoid.toMulOneClass", "congrArg", "CommSemiring.toSemiring", "AddGroupWithOne.toAddMonoidWithOne", "neg_one_mul", "Co...
true
_private.Batteries.Data.BinomialHeap.Basic.0.Batteries.BinomialHeap.Imp.Heap.foldM.match_1.eq_1
Batteries.Data.BinomialHeap.Basic
[ "Batteries.BinomialHeap.Imp.Heap", "Option.some", "Prod.mk", "Batteries.BinomialHeap.Imp.Heap.foldM.match_1", "Option.none", "Eq.refl", "Prod", "Eq", "Option" ]
true
Array.isEqvAux._f
Init.Data.Array.Basic
[ "Nat.le_add_right", "Eq.rec", "Bool.and", "instOfNatNat", "LE.le", "instLENat", "Array", "GetElem.getElem", "Nat.below", "Bool.true", "instHAdd", "Array.instGetElemNatLtSize", "HAdd.hAdd", "Nat.le_trans", "_private.Init.Data.Array.Basic.0.Array.isEqvAux.match_1", "Nat", "LT.lt", "B...
false
Submodule.mk_eq_bot
Mathlib.Algebra.Module.Submodule.Lattice
[ "Submodule", "instHSMul", "congrArg", "DistribMulAction.toDistribSMul", "AddMonoid.toAddZeroClass", "AddSubsemigroup.carrier", "Membership.mem", "AddZeroClass.toAddZero", "DistribSMul.toSMulZeroClass", "AddSubmonoid.toAddSubsemigroup", "AddSubmonoid", "Bot.bot", "AddCommMonoid", "iff_self"...
true
List.mem_dropLast_of_mem_of_ne_getLast?
Mathlib.Data.List.Basic
[ "List.getLast?", "Option.some", "Membership.mem", "Ne", "List.dropLast", "List", "List.instMembership", "_private.Mathlib.Data.List.Basic.0.List.mem_dropLast_of_mem_of_ne_getLast?._proof_1_3", "Option", "List.mem_dropLast_of_mem_of_ne_getLast" ]
true
Lean.Compiler.LCNF.initFn._@.Lean.Compiler.LCNF.ConfigOptions.966831148._hygCtx._hyg.4
Lean.Compiler.LCNF.ConfigOptions
[ "Lean.Option", "Lean.Name.mkStr5", "IO", "instOfNatNat", "Lean.Option.Decl.mk", "Lean.Option.register", "Nat", "Lean.KVMap.instValueNat", "Lean.Name.mkStr2", "OfNat.ofNat" ]
false
Lean.Meta.Grind.propagateBEqUp._regBuiltin.Lean.Meta.Grind.propagateBEqUp.declare_1._@.Lean.Meta.Tactic.Grind.Propagate.4192136612._hygCtx._hyg.8
Lean.Meta.Tactic.Grind.Propagate
[ "Lean.Meta.Grind.registerBuiltinUpwardPropagator", "IO", "Lean.Meta.Grind.propagateBEqUp", "Unit", "Lean.Name.mkStr2" ]
false
Turing.TM2to1.tr_respects
Mathlib.Computability.TuringMachine.StackTuringMachine
[ "Turing.TM2to1.addBottom", "cond", "Turing.proj", "Eq.mpr", "Turing.ListBlank.mk", "Turing.TM2to1.tr_respects_aux", "Turing.TM2.stepAux", "Turing.TM2to1.trNormal", "Turing.Tape.mk'", "Turing.Tape", "congrArg", "Option.instMembership", "HEq.refl", "List.map", "Turing.TM2to1.trNormal.eq_de...
true
Sat.Valuation.satisfies_fmla.recOn
Mathlib.Tactic.Sat.FromLRAT
[ "Sat.Fmla", "Sat.Valuation.satisfies_fmla.rec", "Sat.Valuation.satisfies_fmla.mk", "Sat.Valuation.satisfies_fmla", "Membership.mem", "Sat.Clause", "Sat.Valuation", "List.instMembership", "Sat.Valuation.satisfies" ]
false
CategoryTheory.Limits.instHasKernelπ
Mathlib.CategoryTheory.Limits.Shapes.Biproducts
[ "CategoryTheory.Limits.HasZeroMorphisms", "CategoryTheory.Limits.HasBiproduct", "CategoryTheory.Limits.KernelFork.ofι", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "CategoryTheory.Limits.WalkingParallelPair", "CategoryTheory.Limits.biproduct.isLimitFromSubtype", "CategoryTheory.Limits.walk...
true
Lean.addDocString'
Lean.DocString.Add
[ "Pure.pure", "Lean.TSyntax", "Unit.unit", "_private.Lean.DocString.Add.0.Lean.addDocString'.match_1", "Lean.Syntax", "Lean.Meta.MetaM", "IO.RealWorld", "Applicative.toPure", "List.cons", "Unit", "Lean.Meta.instMonadMetaM", "StateRefT'", "StateRefT'.instMonad", "Lean.Elab.Term.Context", "...
true
HahnSeries.SummableFamily.instSMul_1
Mathlib.RingTheory.HahnSeries.Summable
[ "HahnSeries.SummableFamily.const", "SMul", "AddMonoid.toAddZeroClass", "PartialOrder.toPreorder", "Preorder.toLE", "AddZeroClass.toAddZero", "PartialOrder", "HahnSeries.SummableFamily.smul", "VAdd", "SMul.mk", "Finite.of_fintype", "AddCommMonoid", "AddZero.toZero", "Unit", "PUnit", "PU...
true
_private.Lean.Meta.Constructions.CtorElim.0.Lean.mkIndCtorElim
Lean.Meta.Constructions.CtorElim
[ "Lean.getConstInfo", "Array.instAppend", "Lean.MonadError.mk", "Lean.instMonadExceptOfExceptionCoreM", "Lean.mkAppN", "_private.Lean.Meta.Constructions.CtorElim.0.Lean.mkIndCtorElim.match_1", "Lean.mkCtorElimName", "Array.push", "Lean.ConstantVal", "Lean.Meta.forallTelescope", "Lean.mkDefinition...
true
IsAlgebraic.mul
Mathlib.RingTheory.Algebraic.Integral
[ "Iff.mpr", "Eq.mpr", "RingHom.instRingHomClass", "CommRing", "instHSMul", "HMul.hMul", "CommRing.toNonUnitalCommRing", "Algebra.algebraMap", "IsAlgebraic", "mul_mul_mul_comm", "IsIntegral.mul", "congrArg", "CommSemiring.toSemiring", "NonUnitalCommSemiring.toCommSemigroup", "Algebra", "...
true
Positive.isOrderedCancelMonoid
Mathlib.Algebra.Order.Positive.Ring
[ "Preorder.toLT", "IsOrderedRing.toPosMulMono", "HMul.hMul", "Monoid.toMulOneClass", "CommSemiring.toSemiring", "LinearOrder", "PartialOrder.toPreorder", "IsStrictOrderedRing", "Preorder.toLE", "SemilatticeInf.toPartialOrder", "DistribLattice.toLattice", "MulOne.toMul", "Subtype", "LE.le", ...
true
Polynomial.monic_finprod_X_sub_C
Mathlib.Algebra.Polynomial.Roots
[ "Polynomial.monic_X_sub_C", "Polynomial.C", "Polynomial.instOne", "CommRing", "CommSemiring.toSemiring", "HSub.hSub", "RingHom", "Membership.mem", "Polynomial", "Polynomial.Monic", "finprod", "CommRing.toCommSemiring", "RingHom.instFunLike", "instHSub", "Polynomial.semiring", "Polynomi...
true
Std.Sat.AIG.of_isConstant
Std.Sat.AIG.Lemmas
[ "Eq.mpr", "Std.Sat.AIG.Decl", "False", "Std.Sat.AIG.Ref.mk", "Bool.not", "congrArg", "Decidable.decide.congr_simp", "False.elim", "noConfusion_of_Nat", "Std.Sat.AIG.isConstant.match_1", "Eq.mp", "id", "instDecidableEqBool", "Std.Sat.AIG.isConstant", "_private.Std.Sat.AIG.Lemmas.0.Std.Sat...
true
UniformSpace.Core.mk'._proof_1
Mathlib.Topology.UniformSpace.Defs
[ "Filter.instMembership", "Iff.mpr", "SetRel.id", "SetRel", "Std.Refl.mk", "Membership.mem", "Prod.mk", "HasSubset.Subset", "SetRel.id_subset_iff", "SetRel.IsRefl", "Prod", "Set.instMembership", "Filter", "Set.instHasSubset", "Set" ]
false
Batteries.PairingHeapImp.Heap._sizeOf_inst
Batteries.Data.PairingHeap
[ "Batteries.PairingHeapImp.Heap._sizeOf_1", "SizeOf.mk", "Batteries.PairingHeapImp.Heap", "SizeOf" ]
false
CategoryTheory.Comonad.ForgetCreatesLimits'.lambda
Mathlib.CategoryTheory.Monad.Limits
[ "CategoryTheory.Comonad", "CategoryTheory.Functor", "CategoryTheory.Limits.Cone", "CategoryTheory.Limits.PreservesLimit", "CategoryTheory.Comonad.forget", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "CategoryTheory.Functor.comp", "CategoryTheory.Comonad.ForgetCreatesLimits'.newCone", "...
true
Std.Internal.Parsec.manyCore
Std.Internal.Parsec.Basic
[ "Inhabited.default", "Std.Internal.Parsec", "Array", "Std.Internal.Parsec.instInhabited", "Std.Internal.Parsec.Input", "DecidableEq" ]
true
_private.Init.Data.Range.Polymorphic.SInt.0.ISize.instHasModelBitVecNumBits
Init.Data.Range.Polymorphic.SInt
[ "instLTISize", "_private.Init.Data.Range.Polymorphic.Internal.SignedBitVec.0.BitVec.Signed.instLE", "instLEISize", "_private.Init.Data.Range.Polymorphic.Internal.SignedBitVec.0.BitVec.Signed.instLawfulUpwardEnumerableLT", "BitVec", "_private.Init.Data.Range.Polymorphic.Internal.SignedBitVec.0.BitVec.Signe...
true
CategoryTheory.Oplax.OplaxTrans.whiskerLeft_naturality_comp_assoc
Mathlib.CategoryTheory.Bicategory.NaturalTransformation.Oplax
[ "CategoryTheory.Category.assoc", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "congrArg", "CategoryTheory.OplaxFunctor.mapComp", "CategoryTheory.OplaxFunctor.toPrelaxFunctor", "Eq.mp", "CategoryTheory.Bicategory.whiskerRight", "id", "CategoryTheory.Bicategory.toCategoryStruct", "Mathl...
true
CategoryTheory.Sieve.le_functorPushforward_pullback
Mathlib.CategoryTheory.Sites.Sieves
[ "CategoryTheory.Functor", "PartialOrder.toPreorder", "Preorder.toLE", "GaloisConnection.le_u_l", "CategoryTheory.Sieve", "LE.le", "CompleteLattice.toCompleteSemilatticeInf", "CompleteSemilatticeInf.toPartialOrder", "CategoryTheory.Sieve.functorPushforward", "CategoryTheory.Sieve.functor_galoisConn...
true
prodEquivPiFinTwo_apply
Mathlib.Logic.Equiv.Fin.Basic
[ "Equiv.instEquivLike", "finZeroElim", "Fin.succ", "Fin.cons", "Fin.instOfNat", "Equiv", "prodEquivPiFinTwo", "instOfNatNat", "Prod.fst", "prodEquivPiFinTwo._proof_1", "Nat", "Matrix.vecEmpty", "Eq.refl", "Prod", "piFinTwoEquiv._proof_2", "OfNat.ofNat", "Fin", "Nat.succ", "Eq", ...
true
CategoryTheory.Functor.mapMonCompIso
Mathlib.CategoryTheory.Monoidal.Mon
[ "CategoryTheory.Functor", "CategoryTheory.MonoidalCategory", "CategoryTheory.Functor.category", "CategoryTheory.Mon.mkIso", "CategoryTheory.Functor.comp", "CategoryTheory.Iso.refl", "CategoryTheory.Iso", "CategoryTheory.Functor.mapMonCompIso._proof_4", "CategoryTheory.Functor.LaxMonoidal.comp", "C...
true
AffineEquiv.ofEq._proof_1
Mathlib.LinearAlgebra.AffineSpace.AffineSubspace.Basic
[ "AddCommGroup.toAddCommMonoid", "AddCommGroup.toAddGroup", "AddCommGroup", "congr_arg", "AffineSubspace.instSetLike", "SetLike.coe", "AddTorsor", "Module", "Ring.toSemiring", "Eq", "Ring", "AffineSubspace", "Set" ]
false
CategoryTheory.ShortComplex.LeftHomologyData.homologyIso_hom_comp_leftHomologyIso_inv
Mathlib.Algebra.Homology.ShortComplex.Homology
[ "CategoryTheory.Category.assoc", "CategoryTheory.Limits.HasZeroMorphisms", "CategoryTheory.ShortComplex.LeftHomologyData", "CategoryTheory.ShortComplex.LeftHomologyData.leftHomologyIso", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "congrArg", "CategoryTheory.ShortComplex", "CategoryTheor...
true
_private.Batteries.Data.Fin.Lemmas.0.Fin.find?_eq_some_iff._simp_1_1
Batteries.Data.Fin.Lemmas
[ "And", "and_assoc", "propext", "Eq" ]
false
Fin.zero_ne_one'
Mathlib.Data.Fin.SuccPred
[ "instNeZeroNatHAdd_1", "Fin.ne_of_lt", "Zero.ofOfNat0", "Fin.instOfNat", "Ne", "instOfNatNat", "Fin.one_pos'", "instHAdd", "HAdd.hAdd", "Nat.instNeZeroSucc", "Nat", "instAddNat", "NeZero", "OfNat.ofNat", "Fin" ]
true
Lean.IR.EmitLLVM.emitTag
Lean.Compiler.IR.EmitLLVM
[ "Lean.IR.EmitLLVM.State", "Lean.IR.EmitLLVM.M", "Lean.IR.EmitLLVM.Context", "instMonadExceptOfMonadExceptOf", "instMonadExceptOfExceptTOfMonad", "ReaderT", "String", "MonadExcept.throw", "IO", "ReaderT.instMonad", "IO.RealWorld", "instDecidableEqBool", "LLVM.Builder", "instMonadEIO", "Le...
true
Batteries.BinomialHeap.Imp.HeapNode.rankTR.go._f
Batteries.Data.BinomialHeap.Basic
[ "Batteries.BinomialHeap.Imp.HeapNode.node", "Batteries.BinomialHeap.Imp.HeapNode.rankTR.go.match_1", "Batteries.BinomialHeap.Imp.HeapNode", "instOfNatNat", "Batteries.BinomialHeap.Imp.HeapNode.nil", "instHAdd", "HAdd.hAdd", "Nat", "instAddNat", "OfNat.ofNat", "Batteries.BinomialHeap.Imp.HeapNode...
false
CategoryTheory.effectiveEpiStructIsColimitDescOfEffectiveEpiFamily._proof_1
Mathlib.CategoryTheory.EffectiveEpi.Coproduct
[ "CategoryTheory.Functor", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "CategoryTheory.Limits.Cofan", "CategoryTheory.Functor.category", "CategoryTheory.Discrete.functor", "CategoryTheory.effectiveEpiStructIsColimitDescOfEffectiveEpiFamily._proof_4", "CategoryTheory.Limits.IsColimit", "Ca...
false
_private.Mathlib.Logic.Nonempty.0.Function.Surjective.nonempty.match_1_1
Mathlib.Logic.Nonempty
[ "Exists", "Exists.casesOn", "Exists.intro", "Eq" ]
false
exists_mem_nhds_isClosed_subset
Mathlib.Topology.Separation.Regular
[ "Filter.instMembership", "RegularSpace", "Filter.instCompleteLatticeFilter", "PartialOrder.toPreorder", "List.instGetElem?NatLtLength", "Preorder.toLE", "Disjoint", "Membership.mem", "Exists", "nhds", "CompleteLattice.toBoundedOrder", "HasSubset.Subset", "instOfNatNat", "LE.le", "List.co...
true
AddSubgroup.sup_eq_closure_add
Mathlib.Algebra.Group.Subgroup.Pointwise
[ "AddGroup.toSubtractionMonoid", "Eq.mpr", "AddSubgroup.instCompleteLattice", "le_refl", "Lattice.toSemilatticeSup", "congrArg", "AddMonoid.toAddZeroClass", "PartialOrder.toPreorder", "AddSubgroup.instPartialOrder", "Preorder.toLE", "Membership.mem", "Exists", "CompleteLattice.toConditionally...
true
_private.Mathlib.Analysis.Convex.Between.0.wbtw_smul_vadd_smul_vadd_of_nonpos_of_nonneg._simp_1_1
Mathlib.Analysis.Convex.Between
[ "AddSemigroupAction.add_vadd", "AddSemigroup", "HVAdd.hVAdd", "instHAdd", "AddSemigroup.toAdd", "AddSemigroupAction.toVAdd", "HAdd.hAdd", "instHVAdd", "AddSemigroupAction", "Eq.symm", "Eq" ]
false
_private.Mathlib.Lean.Meta.RefinedDiscrTree.Initialize.0.Lean.Meta.RefinedDiscrTree.createModulePreDiscrTree
Mathlib.Lean.Meta.RefinedDiscrTree.Initialize
[ "Lean.MessageData", "UInt64.instOfNat", "Array.mkEmpty", "Lean.EnvironmentHeader.mainModule", "Lean.Core.State.mk", "Lean.Elab.InfoState.mk", "Lean.Environment.constants", "Task", "Lean.Environment.header", "Lean.Meta.State.mk", "Lean.Meta.RefinedDiscrTree.instHashableKey", "Lean.Meta.instBEqI...
true
CategoryTheory.Limits.pullback.snd_of_mono
Mathlib.CategoryTheory.Limits.Shapes.Pullback.Mono
[ "CategoryTheory.Limits.pullback", "CategoryTheory.Mono", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "CategoryTheory.Limits.pullback.snd", "CategoryTheory.Limits.WidePullbackShape.category", "CategoryTheory.Limits.limit.cone", "CategoryTheory.Limits.HasPullback", "CategoryTheory.Limits.W...
true
HNNExtension.NormalWord.ReducedWord.noConfusionType
Mathlib.GroupTheory.HNNExtension
[ "Group", "Membership.mem", "HNNExtension.NormalWord.ReducedWord.casesOn", "Units", "List.IsChain", "Subgroup", "HNNExtension.NormalWord.ReducedWord", "Int", "Prod.fst", "Int.instMonoid", "List", "HNNExtension.toSubgroup", "HEq", "Prod", "Eq", "Prod.snd", "SetLike.instMembership", "...
false
CategoryTheory.hasColimitsOfShape_of_hasColimitsOfShape_createsColimitsOfShape
Mathlib.CategoryTheory.Limits.Creates
[ "CategoryTheory.Functor", "CategoryTheory.Limits.hasColimitOfHasColimitsOfShape", "CategoryTheory.Limits.HasColimitsOfShape", "CategoryTheory.CreatesColimitsOfShape", "CategoryTheory.Functor.comp", "CategoryTheory.Limits.HasColimitsOfShape.mk", "CategoryTheory.CreatesColimitsOfShape.CreatesColimit", "...
true
instCommCStarAlgebraForall._proof_4
Mathlib.Analysis.CStarAlgebra.Classes
[ "Semigroup.toMul", "NormedRing.toRing", "HMul.hMul", "AddMonoid.toAddSemigroup", "CStarAlgebra.toNormedRing", "CommCStarAlgebra", "instHAdd", "AddSemigroup.toAdd", "Semiring.right_distrib", "Fintype", "HAdd.hAdd", "Semiring.toMonoid", "Monoid.toSemigroup", "AddCommMonoid.toAddMonoid", "i...
false
CategoryTheory.Pseudofunctor.mapComp_id_right_hom_app
Mathlib.CategoryTheory.Bicategory.Functor.Pseudofunctor
[ "CategoryTheory.Pseudofunctor.mapId", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "congrArg", "CategoryTheory.eqToHom", "CategoryTheory.Bicategory.rightUnitor", "CategoryTheory.Functor.comp", "CategoryTheory.Pseudofunctor.mapComp_id_right_hom", "CategoryTheory.Cat.str", "CategoryTheory...
true
Finsupp.piecewise_support
Mathlib.Data.Finsupp.Basic
[ "Finsupp.piecewise._proof_6", "Finset", "Finsupp.piecewise", "Finsupp.support", "Finset.map", "Subtype", "Finset.disjUnion", "DecidablePred", "Function.Embedding.subtype", "Eq.refl", "Eq", "Not", "Finsupp", "Zero" ]
true
_private.Mathlib.LinearAlgebra.Dimension.FreeAndStrongRankCondition.0.Submodule.rank_le_one_iff_isPrincipal._simp_1_4
Mathlib.LinearAlgebra.Dimension.FreeAndStrongRankCondition
[ "Submodule", "instHSMul", "DistribMulAction.toDistribSMul", "AddMonoid.toAddZeroClass", "PartialOrder.toPreorder", "Preorder.toLE", "Membership.mem", "Exists", "AddZeroClass.toAddZero", "Set.instSingletonSet", "DistribSMul.toSMulZeroClass", "Submodule.instPartialOrder", "LE.le", "AddCommMo...
false
Std.DTreeMap.Const.get?_union_of_not_mem_left
Std.Data.DTreeMap.Lemmas
[ "Std.DTreeMap.instUnion", "Std.DTreeMap", "congrArg", "Ord.mk", "Membership.mem", "Ordering", "Eq.mp", "Std.DTreeMap.Const.get?", "Std.DTreeMap.contains_eq_false_iff_not_mem", "Std.DTreeMap.inner", "Std.TransCmp", "Std.DTreeMap.instMembership", "Std.DTreeMap.wf", "propext", "Bool", "Un...
true
AlgebraicGeometry.StructureSheaf.sectionsSubmodule._proof_1
Mathlib.AlgebraicGeometry.StructureSheaf
[ "AlgebraicGeometry.StructureSheaf.Localizations", "CommRing", "instHSMul", "Semiring.toModule", "Pi.addCommMonoid", "HMul.hMul", "LocalizedModule.mk_add_mk", "Submonoid.mul_mem", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "LocalizedModule", "TopologicalSpace.Opens.instCompleteLatt...
false
spinGroup.instStarSubtypeCliffordAlgebraMemSubmonoid._proof_1
Mathlib.LinearAlgebra.CliffordAlgebra.SpinGroup
[ "CommRing", "spinGroup", "Ring.toNonAssocRing", "CommSemiring.toSemiring", "AddCommGroup.toAddCommMonoid", "CliffordAlgebra", "QuadraticForm", "Membership.mem", "AddCommGroup", "Subtype", "NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring", "StarAddMonoid.toInvolutiveStar", "NonAssocRing.toN...
false
LinearMap.GeneralLinearGroup.ofLinearEquiv
Mathlib.LinearAlgebra.GeneralLinearGroup.Basic
[ "LinearEquiv.symm", "Module.End.instMonoid", "LinearMap.GeneralLinearGroup", "LinearMap", "AddCommMonoid", "LinearEquiv.toLinearMap", "RingHomInvPair.ids", "LinearMap.GeneralLinearGroup.ofLinearEquiv._proof_1", "LinearEquiv", "Units.mk", "Semiring", "Module", "RingHom.id", "Semiring.toNonA...
true
SimpleGraph.edgeSet_map
Mathlib.Combinatorics.SimpleGraph.Maps
[ "Set.ext", "Eq.mpr", "SimpleGraph.Adj.symm", "Sym2.map", "Sym2.mk", "congrArg", "_private.Mathlib.Combinatorics.SimpleGraph.Maps.0.SimpleGraph.edgeSet_map.match_1_3", "SimpleGraph.Adj", "Set.mem_image", "Membership.mem", "Exists", "Eq.mp", "id", "SimpleGraph.map_adj", "Prod.mk", "Funct...
true
IsLocalHom.mk
Mathlib.Algebra.Group.Units.Hom
[ "Monoid", "IsUnit", "IsLocalHom.mk", "IsLocalHom", "DFunLike.coe", "FunLike" ]
true
_private.Mathlib.RingTheory.Radical.Basic.0.UniqueFactorizationMonoid.mem_primeFactors._simp_1_2
Mathlib.RingTheory.Radical.Basic
[ "Multiset.toFinset", "Finset", "Membership.mem", "Multiset", "Multiset.instMembership", "Finset.instSetLike", "propext", "Eq", "SetLike.instMembership", "Multiset.mem_toFinset", "DecidableEq" ]
false
MonoidAlgebra.counit_single
Mathlib.RingTheory.Coalgebra.MonoidAlgebra
[ "MonoidAlgebra.addCommMonoid", "Coalgebra.toCoalgebraStruct", "Semiring.toModule", "Coalgebra", "CommSemiring.toSemiring", "LinearMap.instFunLike", "CoalgebraStruct.counit", "LinearMap", "Finsupp.counit_single", "CommSemiring", "NonUnitalNonAssocSemiring.toAddCommMonoid", "MonoidAlgebra.instCo...
true
Hyperreal.infiniteNeg_def
Mathlib.Analysis.Real.Hyperreal
[ "Real", "Preorder.toLT", "Iff.rfl", "PartialOrder.toPreorder", "SemilatticeInf.toPartialOrder", "DistribLattice.toLattice", "Hyperreal.instLinearOrder", "Hyperreal.InfiniteNeg", "Hyperreal.ofReal", "Iff", "LT.lt", "Hyperreal", "instDistribLatticeOfLinearOrder", "Lattice.toSemilatticeInf" ]
true
unique_one
Mathlib.Algebra.Group.Units.Basic
[ "Inhabited.default", "One", "Unique.default_eq", "Unique", "One.toOfNat1", "Unique.instInhabited", "OfNat.ofNat", "Eq" ]
true
Lean.Compiler.LCNF.UnreachableBranches.InterpContext.currFnIdx
Lean.Compiler.LCNF.ElimDeadBranches
[ "Nat", "Lean.Compiler.LCNF.UnreachableBranches.InterpContext" ]
true
BitVec.reduceRotateLeft
Lean.Meta.Tactic.Simp.BuiltinSimprocs.BitVec
[ "instOfNatNat", "Nat", "Lean.Meta.Simp.DSimproc", "Lean.Name.mkStr2", "BitVec.rotateLeft", "BitVec.reduceShift", "OfNat.ofNat" ]
true
BoxIntegral.TaggedPrepartition.isPartition_unionComplToSubordinate
Mathlib.Analysis.BoxIntegral.Partition.SubboxInduction
[ "Real", "Set.Ioi", "BoxIntegral.Prepartition.isPartitionDisjUnionOfEqDiff", "BoxIntegral.TaggedPrepartition.unionComplToSubordinate", "BoxIntegral.Prepartition", "Real.instZero", "BoxIntegral.Box.toSet", "Set.Elem", "BoxIntegral.TaggedPrepartition.toPrepartition", "BoxIntegral.TaggedPrepartition.i...
true
SkewMonoidAlgebra.lift_unique'
Mathlib.Algebra.SkewMonoidAlgebra.Lift
[ "Monoid", "NonAssocSemiring.toAddCommMonoidWithOne", "Equiv.apply_symm_apply", "instSMulOfMul", "Equiv.instEquivLike", "AlgHom.algHomClass", "MonoidHom", "Monoid.toMulOneClass", "CommSemiring.toSemiring", "DistribMulAction.toDistribSMul", "AlgHom", "AlgHom.funLike", "AddMonoid.toAddZeroClass...
true
AlternatingMap.constLinearEquivOfIsEmpty._proof_3
Mathlib.LinearAlgebra.Alternating.Basic
[ "AlternatingMap", "instHSMul", "CommSemiring.toSemiring", "DistribMulAction.toDistribSMul", "AddMonoid.toAddZeroClass", "AddZeroClass.toAddZero", "DistribSMul.toSMulZeroClass", "IsEmpty", "AddCommMonoid", "AlternatingMap.constOfIsEmpty", "CommSemiring", "AddZero.toZero", "Semiring.toMonoid",...
false
ZMod.val_ne_zero
Mathlib.Data.ZMod.Basic
[ "ZMod.commRing", "CommSemiring.toSemiring", "Iff.not", "Ne", "instOfNatNat", "ZMod", "CommRing.toCommSemiring", "Iff", "Nat", "Zero.toOfNat0", "OfNat.ofNat", "ZMod.val_eq_zero", "Eq", "MulZeroClass.toZero", "instMulZeroClassOfSemiring", "ZMod.val" ]
true
Int.subNatNat_add
Init.Data.Int.Lemmas
[ "Eq.mpr", "Int.subNatNat_add_add", "congrArg", "Int.subNatNat_of_le", "Nat.sub_pos_of_lt", "Nat.add_sub_assoc", "HSub.hSub", "Nat.le_add_left", "Eq.rec", "GE.ge", "id", "instSubNat", "instOfNatNat", "Int", "Nat.sub_one_add_one_eq_of_pos", "instLENat", "Nat.le_of_lt", "Nat.cast", ...
true
CoalgEquivClass.toCoalgHomClass
Mathlib.RingTheory.Coalgebra.Equiv
[ "CoalgebraStruct", "outParam", "CommSemiring.toSemiring", "CoalgEquivClass", "AddCommMonoid", "CommSemiring", "CoalgHomClass", "EquivLike", "Module", "EquivLike.toFunLike" ]
true
instDecidableEqDyadic.decEq._proof_4
Init.Data.Dyadic.Basic
[ "False", "False.elim", "noConfusion_of_Nat", "Dyadic", "instHMod", "Int", "HMod.hMod", "instOfNat", "Dyadic.zero", "Int.instMod", "Dyadic.ofOdd", "Dyadic.ctorIdx", "OfNat.ofNat", "Eq", "Not" ]
false
IsSimpleModule.casesOn
Mathlib.RingTheory.SimpleModule.Basic
[ "Submodule", "AddCommGroup.toAddCommMonoid", "Submodule.completeLattice", "PartialOrder.toPreorder", "IsSimpleOrder", "Preorder.toLE", "CompleteLattice.toBoundedOrder", "AddCommGroup", "IsSimpleModule", "Submodule.instPartialOrder", "IsSimpleModule.rec", "IsSimpleModule.mk", "Module", "Rin...
false
CategoryTheory.Functor.op_iff
Mathlib.CategoryTheory.Localization.Opposite
[ "CategoryTheory.Functor.op", "CategoryTheory.MorphismProperty", "CategoryTheory.Functor", "Opposite", "CategoryTheory.MorphismProperty.op", "CategoryTheory.Functor.IsLocalization.op_iff", "CategoryTheory.Functor.IsLocalization", "Iff", "CategoryTheory.Category.opposite", "CategoryTheory.Category.t...
true
AlgebraicClosure.instGroupWithZero._proof_9
Mathlib.FieldTheory.IsAlgClosed.AlgebraicClosure
[ "Nat.instMulZeroClass", "AddMonoidAlgebra.semiring", "Semigroup.toMul", "HMul.hMul", "AlgebraicClosure.maxIdeal.isMaximal", "AddMonoidAlgebra.commRing", "CommSemiring.toSemiring", "Finsupp.instAddMonoid", "Nat.instAddMonoid", "Int", "Ideal", "Nat.cast", "autoParam", "Field.toSemifield", ...
false
NormedCommGroup.toENormedCommMonoid.eq_1
Mathlib.Analysis.Normed.Group.Continuity
[ "NormedCommGroup.toENormedCommMonoid", "NormedCommGroup.toSeminormedCommGroup", "SeminormedCommGroup.toPseudoMetricSpace", "PseudoMetricSpace.toUniformSpace", "SeminormedGroup.toPseudoMetricSpace", "ENormedCommMonoid.mk", "NormedGroup.toENormedMonoid", "NormedCommGroup", "NormedCommGroup.toNormedGro...
true
PartOrd.ofHom_hom
Mathlib.Order.Category.PartOrd
[ "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "PartOrd.instCategory", "PartOrd.str", "PartOrd", "PartOrd.ofHom", "PartOrd.carrier", "PartOrd.Hom.hom", "CategoryTheory.Category.toCategoryStruct", "Eq", "PartOrd.of", "rfl" ]
true
Lean.Parser.equalA
Init.Guard
[ "Lean.Name.mkStr3", "Lean.ParserDescr.nodeWithAntiquot", "Lean.ParserDescr", "Lean.ParserDescr.symbol" ]
true
small_neg
Mathlib.Algebra.Group.Pointwise.Set.Small
[ "Eq.mpr", "Set.image_neg_eq_neg", "congrArg", "small_image", "inferInstance", "Set.Elem", "id", "InvolutiveNeg", "Set.neg", "Set.image", "InvolutiveNeg.toNeg", "Eq.symm", "Eq", "Neg.neg", "Small", "Set" ]
true
EuclideanGeometry.Sphere.sOppSide_faceOpposite_secondInter_of_mem_interior_faceOpposite
Mathlib.Geometry.Euclidean.Sphere.SecondInter
[ "Affine.Simplex.interior_subset_closedInterior", "InnerProductSpace.toNormedSpace", "Affine.Simplex.points", "False", "Nat.instMulZeroClass", "Real.partialOrder", "Real.instLE", "Real", "Affine.Simplex.interior", "Finset.orderEmbOfFin", "Real.instRCLike", "congrArg", "Compl.compl", "Finset...
true
subset_absConvexHull
Mathlib.Analysis.LocallyConvex.AbsConvex
[ "ChainCompletePartialOrder.instOfCompleteLattice", "absConvexHull", "SMul", "PartialOrder.toPreorder", "PartialOrder", "ClosureOperator.le_closure", "HasSubset.Subset", "ClosureOperator.instFunLike", "ClosureOperator", "ChainCompletePartialOrder.toPartialOrder", "AddCommMonoid", "CompleteBoole...
true
AddSubgroup.instUniqueOfSubsingleton._proof_1
Mathlib.Algebra.Group.Subgroup.Lattice
[ "Iff.mpr", "Inhabited.default", "AddSubgroup.instBot", "Bot.bot", "AddSubgroup", "AddGroup", "Subsingleton", "AddSubgroup.subsingleton_iff", "Subsingleton.elim", "Eq", "Inhabited.mk" ]
false
IsAddCentral.right_assoc
Mathlib.Algebra.Group.Center
[ "instHAdd", "HAdd.hAdd", "IsAddCentral", "Eq", "Add" ]
true
_private.Lean.Meta.Tactic.Grind.Internalize.0.Lean.Meta.Grind.updateAppMap
Lean.Meta.Tactic.Grind.Internalize
[ "Lean.Core.instMonadTraceCoreM", "Lean.Meta.Grind.GrindM", "Lean.MessageData", "Lean.Meta.Grind.GoalState.facts", "Lean.Meta.Grind.Goal", "Lean.Meta.Grind.saveAppOf", "Lean.Core.instMonadLiftIOCoreM", "Lean.Meta.Grind.State", "IO.instMonadLiftSTRealWorldBaseIO", "ReaderT", "modify", "Lean.inst...
true
Lean.Core.SavedState.snapshotTasks._inherited_default
Lean.CoreM
[ "Lean.Language.SnapshotTree", "id", "List.toArray", "Lean.Language.SnapshotTask", "Array", "List.nil" ]
false
Std.Internal.IO.Async.Signal.sigxcpu.sizeOf_spec
Std.Internal.Async.Signal
[ "Std.Internal.IO.Async.Signal.sigxcpu", "instOfNatNat", "Std.Internal.IO.Async.Signal._sizeOf_inst", "Nat", "SizeOf.sizeOf", "Eq.refl", "Std.Internal.IO.Async.Signal", "OfNat.ofNat", "Eq" ]
true
Lean.Widget.RpcEncodablePacket.mk.«_@».Lean.Widget.InteractiveGoal.3114798910._hygCtx._hyg.1.noConfusion
Lean.Widget.InteractiveGoal
[ "Lean.Json", "Lean.Widget.RpcEncodablePacket._@.Lean.Widget.InteractiveGoal.3114798910._hygCtx._hyg.1", "id", "Lean.Widget.RpcEncodablePacket.mk._@.Lean.Widget.InteractiveGoal.3114798910._hygCtx._hyg.1", "Lean.Widget.RpcEncodablePacket.«_@».Lean.Widget.InteractiveGoal.3114798910._hygCtx._hyg.1.noConfusion",...
false
Ideal.instInhabitedCotangent
Mathlib.RingTheory.Ideal.Cotangent
[ "CommRing", "CommSemiring.toSemiring", "Ideal.Cotangent", "Ideal", "Ideal.instInhabitedCotangent._aux_1", "CommRing.toCommSemiring", "Inhabited", "Inhabited.mk" ]
true
Std.Tactic.BVDecide.BVExpr.eval_arithShiftRight
Std.Tactic.BVDecide.Bitblast.BVExpr.Basic
[ "Std.Tactic.BVDecide.BVExpr.eval", "BitVec", "BitVec.sshiftRight'", "Std.Tactic.BVDecide.BVExpr.arithShiftRight", "Nat", "Eq.refl", "Std.Tactic.BVDecide.BVExpr", "Std.Tactic.BVDecide.BVExpr.Assignment", "Eq" ]
true
Cardinal.toENat_nat
Mathlib.SetTheory.Cardinal.ENat
[ "ENat.instNatCast", "Cardinal", "CommSemiring.toSemiring", "Cardinal.commSemiring", "PartialOrder.toPreorder", "OrderRingHom.instFunLike", "instPreorderENat", "OrderRingHom", "Nat.cast", "OrderRingHom.instRingHomClass", "Cardinal.partialOrder", "map_natCast", "Cardinal.toENat", "Nat", "E...
true
ContMDiffOn.smul
Mathlib.Geometry.Manifold.Algebra.SMul
[ "instHSMul", "NormedSpace", "SMul", "ContMDiffSMul", "Membership.mem", "ContMDiffWithinAt.smul", "TopologicalSpace", "ModelWithCorners", "ENat", "NontriviallyNormedField", "HSMul.hSMul", "NontriviallyNormedField.toNormedField", "Pi.smul'", "NormedAddCommGroup.toSeminormedAddCommGroup", "...
true
AlgebraicGeometry.IsAffineOpen.comap_primeIdealOf_appLE
Mathlib.AlgebraicGeometry.AffineScheme
[ "AlgebraicGeometry.PresheafedSpace.Hom", "Eq.mpr", "AlgebraicGeometry.Spec", "AlgebraicGeometry.SheafedSpace.instTopologicalSpaceCarrierCarrier", "AlgebraicGeometry.Scheme", "CommRingCat.Hom.hom", "Opposite", "CommRingCat.carrier", "AlgebraicGeometry.PresheafedSpace.carrier", "CategoryTheory.Categ...
true
Multiplicative.leftCancelMonoid._proof_1
Mathlib.Algebra.Group.TypeTags.Basic
[ "Semigroup.toMul", "Multiplicative.leftCancelSemigroup", "LeftCancelSemigroup.toSemigroup", "IsLeftCancelMul", "AddLeftCancelMonoid", "LeftCancelSemigroup.toIsLeftCancelMul", "Multiplicative", "AddLeftCancelMonoid.toAddLeftCancelSemigroup" ]
false
instFintypeSymbol.match_5
Mathlib.Computability.Language
[ "Symbol", "Symbol.casesOn", "Symbol.terminal", "Symbol.nonterminal" ]
false
Std.TreeSet.toList_ric._auto_1
Std.Data.TreeSet.Slice
[ "Lean.Syntax.node", "Lean.Syntax.ident", "Array.push", "String.toRawSubstring", "Lean.Syntax", "Array.empty", "Lean.Syntax.Preresolved", "Lean.SourceInfo.none", "Lean.Name.mkStr1", "Lean.Name.mkStr4", "Lean.mkAtom", "List.nil" ]
false
contDiffOn_succ_iff_fderivWithin
Mathlib.Analysis.Calculus.ContDiff.Defs
[ "Filter.instMembership", "Iff.mpr", "NormedCommRing.toSeminormedCommRing", "ContinuousLinearMap.toNormedAddCommGroup", "False", "WithTop.charZero", "WithTop.instPartialOrder", "WithTop.instCompleteLinearOrder", "AnalyticOn", "Preorder.toLT", "instCompleteLinearOrderENat", "instCharZeroENat", ...
true