name
stringlengths
2
347
module
stringlengths
6
90
deps
listlengths
0
692
allowCompletion
bool
2 classes
List.length_pos_iff_ne_nil
Mathlib.Data.List.Basic
[ "List.ne_nil_of_length_pos", "Ne", "instOfNatNat", "List", "Iff", "Nat", "LT.lt", "Iff.intro", "List.length_pos_of_ne_nil", "instLTNat", "OfNat.ofNat", "List.length", "List.nil" ]
true
Submodule.LinearDisjoint.map
Mathlib.LinearAlgebra.LinearDisjoint
[ "Submodule.mulMap", "Eq.mpr", "Submodule", "RingHomSurjective.ids", "Submodule.LinearDisjoint", "AlgHom.algHomClass", "NonUnitalAlgHomClass.instLinearMapClass", "congrArg", "CommSemiring.toSemiring", "AlgHom", "Submodule.linearDisjoint_iff", "Submodule.addCommMonoid", "TensorProduct.addCommM...
true
Lean.Server.FileWorker.PendingRequest.casesOn
Lean.Server.FileWorker
[ "Lean.Server.FileWorker.PendingRequest", "Lean.Server.FileWorker.PendingRequest.rec", "Unit", "Lean.Server.ServerTask", "Lean.Server.RequestCancellationToken", "IO.Error", "Except", "Lean.Server.FileWorker.PendingRequest.mk" ]
false
CategoryTheory.SimplicialObject.Homotopy.refl._proof_3
Mathlib.AlgebraicTopology.SimplicialObject.Homotopy
[ "CategoryTheory.Category.assoc", "Opposite", "CategoryTheory.CategoryStruct.toQuiver", "CategoryTheory.SimplicialObject.σ_naturality", "Quiver.Hom", "Fin.succ", "congrArg", "CategoryTheory.Functor.category", "instOfNatNat", "LE.le", "instLEFin", "instHAdd", "CategoryTheory.SimplicialObject.δ...
false
MeasureTheory.HasFiniteIntegral.of_subsingleton
Mathlib.MeasureTheory.Function.L1Space.HasFiniteIntegral
[ "MeasureTheory.Measure", "PseudoMetricSpace.toUniformSpace", "MeasureTheory.HasFiniteIntegral.of_finite", "SeminormedAddGroup.toContinuousENorm", "MeasurableSpace", "SeminormedAddCommGroup.toSeminormedAddGroup", "ContinuousENorm.toENorm", "SeminormedAddGroup.toPseudoMetricSpace", "Finite.of_subsingl...
true
CategoryTheory.instInhabitedSheafBotGrothendieckTopologyType
Mathlib.CategoryTheory.Sites.Sheaf
[ "Inhabited.default", "CategoryTheory.Functor", "Lattice.toSemilatticeSup", "Opposite", "instInhabitedSort", "CompleteLattice.toLattice", "OrderBot.toBot", "PartialOrder.toPreorder", "CategoryTheory.Functor.category", "Preorder.toLE", "CompleteLattice.toBoundedOrder", "Bot.bot", "CategoryTheo...
true
DFinsupp.Colex.addLeftStrictMono
Mathlib.Data.DFinsupp.Lex
[ "DFinsupp.instLTColex", "Preorder.toLT", "Colex", "AddMonoid.toAddSemigroup", "LinearOrder", "AddMonoid.toAddZeroClass", "PartialOrder.toPreorder", "SemilatticeInf.toPartialOrder", "AddZeroClass.toAddZero", "DistribLattice.toLattice", "DFinsupp.Lex.addLeftStrictMono", "AddZero.toZero", "inst...
true
NonUnitalSubsemiring.subset_closure._simp_1
Mathlib.RingTheory.NonUnitalSubsemiring.Basic
[ "NonUnitalSubsemiring.subset_closure", "HasSubset.Subset", "NonUnitalSubsemiring.closure", "SetLike.coe", "True", "NonUnitalSubsemiring.instSetLike", "eq_true", "NonUnitalSubsemiring", "NonUnitalNonAssocSemiring", "Eq", "Set.instHasSubset", "Set" ]
false
isCyclic_multiplicative_iff
Mathlib.GroupTheory.SpecificGroups.Cyclic.Basic
[ "IsAddCyclic.mk", "IsAddCyclic.exists_zsmul_surjective", "DivInvMonoid.toZPow", "SubNegMonoid", "Multiplicative", "Multiplicative.divInvMonoid", "Iff", "Iff.intro", "IsCyclic.exists_zpow_surjective", "IsCyclic.mk", "IsCyclic", "IsAddCyclic", "SubNegMonoid.toZSMul" ]
true
ValuativeRel.instCommRingWithPreorder._proof_36
Mathlib.RingTheory.Valuation.ValuativeRel.Basic
[ "ValuativeRel.instCommRingWithPreorder._proof_22", "ValuativeRel.instCommRingWithPreorder._proof_25", "CommRing", "ValuativeRel.instCommRingWithPreorder._proof_3", "AddMonoid.toAddSemigroup", "ValuativeRel.instCommRingWithPreorder._proof_11", "HSub.hSub", "AddMonoid.mk", "Semigroup.mk", "Ring.sub_...
false
Semigrp.instCoeSortType.eq_1
Mathlib.Algebra.Category.Semigrp.Basic
[ "Semigrp", "CoeSort.mk", "Semigrp.instCoeSortType", "Eq.refl", "Semigrp.carrier", "CoeSort", "Eq" ]
true
_private.Mathlib.Tactic.TacticAnalysis.Declarations.0.Mathlib.TacticAnalysis.termToGrindParam
Mathlib.Tactic.TacticAnalysis.Declarations
[ "Lean.mkNullNode", "Lean.TSyntax", "Lean.mkNode", "Lean.identKind", "Lean.Syntax", "Lean.TSyntax.raw", "instDecidableEqBool", "Array.empty", "List.toArray", "List.cons", "Bool.true", "Lean.Syntax.isIdent", "Lean.mkIdent", "Bool", "Lean.SyntaxNodeKind", "Lean.Name.mkStr1", "Lean.Name....
true
String.Slice.Pattern.ForwardSliceSearcher.emptyAt.injEq
Init.Data.String.Pattern.String
[ "Eq.propIntro", "String.Slice", "Ne", "String.Slice.Pattern.ForwardSliceSearcher.emptyAt", "String.Slice.Pattern.ForwardSliceSearcher.emptyAt.inj", "String.Slice.endPos", "Eq.ndrec", "Eq.refl", "String.Slice.Pos", "String.Slice.Pattern.ForwardSliceSearcher", "Eq" ]
true
_private.Mathlib.Analysis.Convex.BetweenList.0.List.exists_map_eq_of_sorted_nonempty_iff_sbtw._proof_1_6
Mathlib.Analysis.Convex.BetweenList
[ "List.head", "List.getLast", "Lean.Grind.instOrderedRingInt", "Lean.RArray.leaf", "Semiring.toModule", "AffineMap.instFunLike", "Lean.Grind.nestedProof", "Lean.Grind.Order.lt_eq_true_of_le_k", "Lean.Grind.CommRing.Expr.var", "AddGroupWithOne.toAddGroup", "congrArg", "AddCommGroup.toAddCommMono...
false
_private.Lean.Meta.Tactic.Simp.BuiltinSimprocs.Nat.0._regBuiltin.Nat.reduceGcd.declare_81._@.Lean.Meta.Tactic.Simp.BuiltinSimprocs.Nat.2337750513._hygCtx._hyg.14
Lean.Meta.Tactic.Simp.BuiltinSimprocs.Nat
[ "IO", "Lean.Meta.DiscrTree.Key.star", "Lean.Meta.DiscrTree.Key", "instOfNatNat", "List.toArray", "List.cons", "Unit", "Nat", "Nat.reduceGcd", "Lean.Meta.Simp.registerBuiltinDSimproc", "Lean.Name.mkStr2", "OfNat.ofNat", "Lean.Meta.DiscrTree.Key.const", "List.nil" ]
false
stereographic.congr_simp
Mathlib.Geometry.Manifold.Instances.Sphere
[ "Norm.norm", "InnerProductSpace.toNormedSpace", "Submodule", "Real", "stereographic", "Real.instRCLike", "AddCommGroup.toAddCommMonoid", "NormedSpace.toModule", "PseudoMetricSpace.toUniformSpace", "Membership.mem", "NormedField.toField", "Real.semiring", "Set.Elem", "Set.instSingletonSet",...
true
AugmentedSimplexCategory.tensorHomOf._proof_4
Mathlib.AlgebraicTopology.SimplexCategory.Augmented.Monoidal
[ "Fin.addCases_left", "Eq.mpr", "add_le_add_iff_left._simp_1", "Nat.instIsOrderedAddMonoid", "Fin.natAdd", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "Fin.castAdd", "congrArg", "instIsLeftCancelAddOfAddLeftReflectLE", "PartialOrder.toPreorder", "_private.Mathlib.AlgebraicTopology.S...
false
_private.Mathlib.Data.Stream.Init.0.Stream'.mem_cons_of_mem.match_1_1
Mathlib.Data.Stream.Init
[ "Membership.mem", "Stream'", "Exists.casesOn", "Stream'.instMembership", "Stream'.get", "Nat", "Exists.intro", "Eq" ]
false
zpow_lt_zpow_left₀
Mathlib.Algebra.Order.GroupWithZero.Unbundled.Basic
[ "_private.Mathlib.Algebra.Order.GroupWithZero.Unbundled.Basic.0.zpow_lt_zpow_left₀._proof_1_1", "GroupWithZero.toMonoidWithZero", "Preorder.toLT", "GroupWithZero.toDivInvMonoid", "MulZeroClass.toMul", "PartialOrder.toPreorder", "GroupWithZero", "DivInvMonoid.toZPow", "Preorder.toLE", "zpow_left_st...
true
OrthonormalBasis.prod._proof_3
Mathlib.Analysis.InnerProductSpace.ProdL2
[ "NormedCommRing.toNormedRing", "WithLp", "Norm.norm", "Eq.mpr", "InnerProductSpace.toNormedSpace", "False", "LinearEquiv.symm", "Real", "WithLp.instProdNormedAddCommGroup", "fact_one_le_two_ennreal", "NormedRing.toRing", "Sum.ctorIdx", "and_true", "Orthonormal", "Inner.inner", "congrAr...
false
FreeSemigroup.instLawfulTraversable
Mathlib.Algebra.Free
[ "Pure.pure", "Traversable.toFunctor", "Eq.mpr", "Semigroup.toMul", "HMul.hMul", "congrArg", "FreeSemigroup.recOnMul", "Monad.toApplicative", "LawfulTraversable.mk", "ApplicativeTransformation", "FreeSemigroup.of", "Function.comp", "Functor.Comp.instApplicativeComp", "FreeSemigroup.traverse...
true
_private.Mathlib.RingTheory.Perfectoid.FontaineTheta.0._aux_Mathlib_RingTheory_Perfectoid_FontaineTheta___macroRules__private_Mathlib_RingTheory_Perfectoid_FontaineTheta_0_term𝔭_1
Mathlib.RingTheory.Perfectoid.FontaineTheta
[ "Pure.pure", "Lean.MonadRef.mkInfoFromRefPos", "Lean.Name.mkNum", "Lean.Syntax.ident", "instMonadExceptOfMonadExceptOf", "String", "Lean.SourceInfo", "MonadExcept.throw", "Lean.Syntax.node5", "Lean.Syntax.isOfKind", "EStateM.instMonad", "Lean.Macro.Exception", "Lean.Syntax.atom", "Lean.TSy...
false
Lean.Parser.Termination.inductiveFixpoint.formatter
Lean.Parser.Term
[ "Lean.PrettyPrinter.Formatter", "Lean.PrettyPrinter.Formatter.checkColGt.formatter", "Lean.Parser.withCache.formatter", "Lean.Parser.leadingNode.formatter", "instOfNatNat", "Lean.PrettyPrinter.Formatter.withAntiquot.formatter", "Lean.Parser.symbol.formatter", "Bool.true", "Nat", "Lean.Parser.withP...
true
Std.TreeMap.Raw.getKeyD_alter
Std.Data.TreeMap.Raw.Lemmas
[ "Std.TreeMap.Raw.alter", "instDecidableEqOrdering", "Std.TreeMap.Raw.WF.out", "Std.DTreeMap.Raw.Const.getKeyD_alter", "Membership.mem", "Ordering", "Std.TreeMap.Raw.instMembership", "Ordering.eq", "instDecidableEqBool", "Std.TransCmp", "Std.TreeMap.Raw.WF", "Std.TreeMap.Raw.inner", "Std.Tree...
true
_private.Init.Data.String.Decode.0.utf8DecodeChar?_eq_assemble₃._proof_1
Init.Data.String.Decode
[ "False", "Lean.Omega.Constraint.not_sat'_of_isImpossible", "of_decide_eq_true", "le_of_le_of_eq", "Lean.Omega.Constraint.mk", "Lean.Omega.Constraint.combine_sat'", "HSub.hSub", "Lean.Omega.LinearCombo.eval", "Option.some", "id", "instDecidableEqBool", "Int.instNegInt", "Int.sub_nonneg_of_le"...
false
List.SortedGE.pairwise
Mathlib.Data.List.Sort
[ "List.sortedGE_iff_pairwise", "List.Pairwise", "Preorder.toLE", "GE.ge", "List", "Iff.mp", "List.SortedGE", "Preorder" ]
true
_private.Mathlib.Topology.Constructions.SumProd.0.closure_prod_eq._simp_1_2
Mathlib.Topology.Constructions.SumProd
[ "Filter.NeBot", "nhdsWithin", "Membership.mem", "mem_closure_iff_nhdsWithin_neBot", "TopologicalSpace", "closure", "propext", "Eq", "Set.instMembership", "Set" ]
false
Fin.finsetImage_castSucc_Ico
Mathlib.Order.Interval.Finset.Fin
[ "Finset", "PartialOrder.toPreorder", "instDecidableEqFin", "Fin.finsetImage_castAdd_Ico", "Fin.instLocallyFiniteOrder", "Finset.Ico", "instOfNatNat", "instHAdd", "Fin.instPartialOrder", "HAdd.hAdd", "Nat", "instAddNat", "Fin.castSucc", "OfNat.ofNat", "Fin", "Eq", "Finset.image" ]
true
Hyperreal.coe_lt_coe._simp_1
Mathlib.Analysis.Real.Hyperreal
[ "Real", "Preorder.toLT", "PartialOrder.toPreorder", "Real.instLT", "SemilatticeInf.toPartialOrder", "DistribLattice.toLattice", "Hyperreal.instLinearOrder", "Hyperreal.ofReal", "LT.lt", "Hyperreal", "propext", "Hyperreal.coe_lt_coe", "Eq", "instDistribLatticeOfLinearOrder", "Lattice.toSe...
false
Polynomial.natDegree_scaleRoots
Mathlib.RingTheory.Polynomial.ScaleRoots
[ "Polynomial.degree_scaleRoots", "WithBot", "congrArg", "instOfNatNat", "Polynomial.degree", "Polynomial", "Nat", "True", "eq_self", "Polynomial.scaleRoots", "of_eq_true", "Semiring", "congrFun'", "Polynomial.natDegree", "OfNat.ofNat", "Eq", "WithBot.unbotD", "Eq.trans" ]
true
Finsupp.llift_apply
Mathlib.LinearAlgebra.Finsupp.LSum
[ "Pi.Function.module", "Semiring.toModule", "Pi.addCommMonoid", "Finsupp.module", "DistribMulAction.toDistribSMul", "AddMonoid.toAddZeroClass", "Finsupp.llift", "LinearMap.instFunLike", "AddZeroClass.toAddZero", "DistribSMul.toSMulZeroClass", "LinearMap.instAdd", "LinearMap.module", "LinearMa...
true
NormedCommGroup.casesOn
Mathlib.Analysis.Normed.Group.Defs
[ "Norm.norm", "Semigroup.toMul", "Real", "DivInvMonoid.toInv", "HMul.hMul", "Norm", "DivInvMonoid.toMonoid", "CommGroup", "NormedCommGroup", "Group.toDivInvMonoid", "NormedCommGroup.rec", "Inv.inv", "MetricSpace", "NormedCommGroup.mk", "Monoid.toSemigroup", "MetricSpace.toPseudoMetricSp...
false
_private.Mathlib.Combinatorics.Additive.SmallTripling.0.Finset.small_alternating_pow_of_small_tripling._simp_1_2
Mathlib.Combinatorics.Additive.SmallTripling
[ "Semigroup", "Semigroup.toMul", "HMul.hMul", "mul_assoc", "Eq.symm", "Eq", "instHMul" ]
false
CompleteOrthogonalIdempotents.ringEquivOfIsMulCentral._proof_10
Mathlib.RingTheory.Idempotents
[ "Semigroup.toMul", "HMul.hMul", "Exists", "SemigroupWithZero.toSemigroup", "NonUnitalSemiring.toSemigroupWithZero", "instDistribOfSemiring", "Distrib.toMul", "Exists.intro", "Semiring", "Semiring.toNonUnitalSemiring", "Eq", "rfl", "instHMul" ]
false
CategoryTheory.underToAlgebra._proof_7
Mathlib.CategoryTheory.Monad.Products
[ "CategoryTheory.instCategoryUnder", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "CategoryTheory.Limits.coprod.desc", "CategoryTheory.underToAlgebra._proof_6", "CategoryTheory.CategoryStruct.id", "CategoryTheory.underToAlgebra._proof_4", "CategoryTheory.Under.hom", "id", "CategoryTheory...
false
List.instOrd
Init.Data.Ord.Basic
[ "Ord", "Ord.mk", "Ord.compare", "List", "List.compareLex" ]
true
ProbabilityTheory.IsCondKernelCDF.recOn
Mathlib.Probability.Kernel.Disintegration.CDFToKernel
[ "Set.instSProd", "InnerProductSpace.toNormedSpace", "NormedCommRing.toSeminormedCommRing", "Real", "MeasureTheory.Measure", "MeasurableSet", "Real.instZero", "Real.instRCLike", "SProd.sprod", "Measurable", "MeasureTheory.Measure.real", "PseudoMetricSpace.toUniformSpace", "MeasureTheory.Integ...
false
_private.Mathlib.FieldTheory.Extension.0.IntermediateField.Lifts.nonempty_algHom_of_exist_lifts_finset._simp_1_16
Mathlib.FieldTheory.Extension
[ "Set.iUnion_subset_iff", "HasSubset.Subset", "propext", "Eq", "Set.iUnion", "Set.instHasSubset", "Set" ]
false
_private.Init.Data.Int.DivMod.Lemmas.0.Int.bmod_two_eq._proof_1_2
Init.Data.Int.DivMod.Lemmas
[ "False", "Lean.Omega.Constraint.not_sat'_of_isImpossible", "of_decide_eq_true", "le_of_le_of_eq", "Lean.Omega.Constraint.mk", "HSub.hSub", "Lean.Omega.LinearCombo.eval", "Option.some", "id", "instDecidableEqBool", "Int.instNegInt", "Int.sub_nonneg_of_le", "instOfNatNat", "Int", "Nat.cast...
false
BoxIntegral.Prepartition.casesOn
Mathlib.Analysis.BoxIntegral.Partition.Basic
[ "Real", "Function.onFun", "BoxIntegral.Prepartition", "CompleteBooleanAlgebra.toCompleteDistribLattice", "BoxIntegral.Box.toSet", "Finset", "Disjoint", "Membership.mem", "CompleteLattice.toConditionallyCompleteLattice", "LE.le", "Set.Pairwise", "BoxIntegral.Prepartition.mk", "SetLike.coe", ...
false
instAlgebraWithConvMatrix
Mathlib.LinearAlgebra.Matrix.WithConv
[ "instAlgebraWithConvMatrix._proof_2", "Matrix.module", "CommSemiring.toSemiring", "Matrix", "Algebra", "Algebra.toModule", "Matrix.addCommMonoid", "instAlgebraWithConvMatrix._proof_1", "CommSemiring", "NonUnitalNonAssocSemiring.toAddCommMonoid", "WithConv.instModule", "NonAssocSemiring.toNonUn...
true
Interval.pure_ne_bot
Mathlib.Order.Interval.Basic
[ "Interval.pure", "OrderBot.toBot", "NonemptyInterval.pure", "Preorder.toLE", "Ne", "Bot.bot", "Interval", "instOrderBotInterval", "instLEInterval", "WithBot.coe_ne_bot", "Preorder", "NonemptyInterval" ]
true
AddCommGroup.ModEq.natCast
Mathlib.Data.Nat.ModEq
[ "AddCommGroup.ModEq", "Nat.castAddMonoidHom", "AddMonoidHom.instAddMonoidHomClass", "AddCommMonoidWithOne.toAddCommMonoid", "congrArg", "AddMonoid.toAddZeroClass", "Nat.instAddMonoid", "AddCommMonoidWithOne", "AddCommGroup.modEq_iff_natModEq", "AddZeroClass.toAddZero", "Eq.mp", "AddMonoidWithO...
true
Lean.PrettyPrinter.Formatter.concat
Lean.PrettyPrinter.Formatter
[ "Std.Format.nil", "Std.Format.instAppend", "Std.Format.isNil", "instDecidableEqBool", "instOfNatNat", "Lean.PrettyPrinter.FormatterM", "Array.foldl", "Array", "Bool.true", "instHAppendOfAppend", "Unit", "Nat", "Lean.PrettyPrinter.Formatter.fold", "Std.Format", "Bool", "OfNat.ofNat", ...
true
Ideal.coprime_of_no_prime_ge
Mathlib.RingTheory.Ideal.Operations
[ "Eq.mpr", "False", "Semiring.toModule", "le_sup_left", "congrArg", "CommSemiring.toSemiring", "PartialOrder.toPreorder", "Preorder.toLE", "Exists", "SemilatticeSup.toMax", "Submodule.decidableEq", "Algebra.id", "id", "le_sup_right", "Submodule.instPartialOrder", "Submodule.instTop", ...
true
AddMonoidHom.add_apply
Mathlib.Algebra.Group.Hom.Basic
[ "AddMonoid.toAddZeroClass", "AddZeroClass.toAddZero", "AddCommMonoid", "instHAdd", "AddZeroClass", "HAdd.hAdd", "AddMonoidHom.add", "AddZero.toAdd", "AddCommMonoid.toAddMonoid", "AddMonoidHom", "AddMonoidHom.instFunLike", "Eq", "DFunLike.coe", "rfl" ]
true
Lean.IR.Expr.pap.noConfusion
Lean.Compiler.IR.Basic
[ "Lean.IR.Expr", "Lean.IR.Arg", "id", "Lean.IR.Expr.noConfusion", "Array", "Lean.IR.FunId", "Lean.IR.Expr.pap", "Eq" ]
false
Zero.zero
Init.Prelude
[ "Zero" ]
true
SubMulAction.map_ofFixingSubgroupUnion._proof_7
Mathlib.GroupTheory.GroupAction.SubMulAction.OfFixingSubgroup
[ "SubMulAction.instSetLike", "False", "fixingSubgroup", "Group", "Membership.mem", "Subgroup.instMulAction", "Set.instUnion", "Subtype", "DivInvMonoid.toMonoid", "Subgroup", "Group.toDivInvMonoid", "SubMulAction.ofFixingSubgroup", "MulAction", "Subtype.prop", "Monoid.toSemigroup", "Set....
false
FreeLieAlgebra.instAddGroup._proof_7
Mathlib.Algebra.Lie.Free
[ "CommRing", "FreeNonUnitalNonAssocAlgebra", "CommSemiring.toSemiring", "HSub.hSub", "AddCommGroup.toAddGroup", "SubNegMonoid.toSub", "CommRing.toCommSemiring", "instHSub", "AddGroup.toSubNegMonoid", "MonoidAlgebra.addCommGroup", "FreeLieAlgebra", "CommRing.toRing", "FreeLieAlgebra.Rel", "E...
false
Submodule.comap_equiv_self_of_inj_of_le._proof_1
Mathlib.Algebra.Module.Submodule.Equiv
[ "RingHomCompTriple", "Semiring", "RingHom.id", "RingHomCompTriple.ids", "Semiring.toNonAssocSemiring" ]
false
CategoryTheory.Bicategory.Adj.ctorIdx
Mathlib.CategoryTheory.Bicategory.Adjunction.Adj
[ "CategoryTheory.Bicategory", "CategoryTheory.Bicategory.Adj", "Nat" ]
false
Real.tendsto_euler_sin_prod
Mathlib.Analysis.SpecialFunctions.Trigonometric.EulerSineProd
[ "Eq.mpr", "NormedCommRing.toSeminormedCommRing", "Real", "instHDiv", "Real.pi", "HMul.hMul", "Complex.commRing", "congrArg", "HEq.refl", "Finset", "Real.instDivInvMonoid", "Real.instSub", "Complex.continuous_re", "Complex.sin", "Complex.instNormedField", "HSub.hSub", "PseudoMetricSpa...
true
Fin.reduceShiftRight._regBuiltin.Fin.reduceShiftRight.declare_1._@.Lean.Meta.Tactic.Simp.BuiltinSimprocs.Fin.1714635550._hygCtx._hyg.22
Lean.Meta.Tactic.Simp.BuiltinSimprocs.Fin
[ "IO", "Bool.true", "Unit", "Sum.inr", "Lean.Meta.Simp.DSimproc", "Lean.Name.mkStr2", "Lean.Meta.Simp.addSimprocBuiltinAttr", "Fin.reduceShiftRight", "Lean.Meta.Simp.Simproc" ]
false
AlgebraicGeometry.Scheme.PartialMap.ext
Mathlib.AlgebraicGeometry.Birational.RationalMap
[ "AlgebraicGeometry.Scheme.PartialMap.ext_iff", "Eq.mpr", "AlgebraicGeometry.Scheme", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "congrArg", "Exists", "AlgebraicGeometry.Scheme.PartialMap.hom", "id", "AlgebraicGeometry.Scheme.PartialMap", "AlgebraicGeometry.Scheme.isoOfEq", "propex...
true
contDiff_const
Mathlib.Analysis.Calculus.ContDiff.Basic
[ "NormedSpace", "Set.univ", "AnalyticOnNhd.contDiff", "ContDiff", "analyticOnNhd_const", "ENat", "NontriviallyNormedField", "NontriviallyNormedField.toNormedField", "NormedAddCommGroup.toSeminormedAddCommGroup", "NormedAddCommGroup", "WithTop" ]
true
ProbabilityTheory.rnDeriv_measure_compProd_left
Mathlib.Probability.Kernel.Composition.RadonNikodym
[ "MeasureTheory.ae", "MeasureTheory.Measure.withDensity", "ProbabilityTheory.IsFiniteKernel", "Trans.trans", "MeasureTheory.Measure", "Filter.instTransForallEventuallyEq", "MeasureTheory.IsFiniteMeasure.toSigmaFinite", "MeasureTheory.Measure.rnDeriv", "ENNReal.measurableSpace", "Filter.EventuallyEq...
true
Lean.Compiler.LCNF.PP.M
Lean.Compiler.LCNF.PrettyPrinter
[ "ReaderT", "Lean.Compiler.LCNF.CompilerM", "Lean.LocalContext" ]
true
ComplexShape.Embedding.mk.inj
Mathlib.Algebra.Homology.Embedding.Basic
[ "ComplexShape.Embedding.mk.noConfusion", "ComplexShape", "eq_of_heq", "ComplexShape.Embedding", "HEq", "Function.Injective", "Eq", "ComplexShape.Rel", "ComplexShape.Embedding.mk" ]
true
MDifferentiableOn.sum
Mathlib.Geometry.Manifold.MFDeriv.SpecificFunctions
[ "Pi.addCommMonoid", "chartedSpaceSelf", "NormedSpace", "AddCommGroup.toAddCommMonoid", "Finset", "PseudoMetricSpace.toUniformSpace", "Membership.mem", "MDifferentiableOn", "TopologicalSpace", "ModelWithCorners", "SeminormedAddCommGroup.toPseudoMetricSpace", "Finset.instSetLike", "Nontriviall...
true
UInt8.toUInt32_add
Init.Data.UInt.Lemmas
[ "UInt8.toNat_add", "instPowNat", "UInt32.toNat", "Dvd.dvd", "instModUInt32", "UInt8.toUInt32", "congrArg", "Nat.instMod", "instHMod", "UInt32.toNat_mod", "instOfNatNat", "instAddUInt32", "UInt8.toNat_toUInt32", "UInt32.toNat.inj", "instAddUInt8", "UInt32.toNat_add", "instNatPowNat", ...
true
Algebra.Presentation.instCommRingCore
Mathlib.RingTheory.Extension.Presentation.Core
[ "Ring.mk", "Algebra.Presentation.instCommRingCore._proof_55", "Mul.mk", "CommRing", "One.mk", "Algebra.Presentation.instCommRingCore._aux_13", "Algebra.Presentation.instCommRingCore._proof_67", "CommSemiring.toSemiring", "Algebra.Presentation.instCommRingCore._proof_57", "Algebra.Presentation.inst...
true
AddAction.BlockMem
Mathlib.GroupTheory.GroupAction.Blocks
[ "AddMonoid.toAddSemigroup", "Membership.mem", "Subtype", "AddAction", "AddAction.toAddSemigroupAction", "And", "AddGroup", "AddSemigroupAction.toVAdd", "AddGroup.toSubNegMonoid", "SubNegMonoid.toAddMonoid", "Set.instMembership", "AddAction.IsBlock", "Set" ]
true
_private.Mathlib.AlgebraicTopology.SimplicialSet.HomotopyCat.0._auto_148
Mathlib.AlgebraicTopology.SimplicialSet.HomotopyCat
[ "Lean.Syntax.node", "Array.push", "Lean.Syntax", "Array.empty", "Lean.Name.mkStr2", "Lean.SourceInfo.none", "Lean.Name.mkStr1", "Lean.Name.mkStr4", "Lean.mkAtom" ]
false
Std.ExtHashMap.getD_inter_of_not_mem_left
Std.Data.ExtHashMap.Lemmas
[ "Std.ExtHashMap.getD", "Std.ExtHashMap.inner", "Membership.mem", "LawfulHashable", "Std.ExtHashMap", "Inter.inter", "EquivBEq", "Std.ExtHashMap.instInterOfEquivBEqOfLawfulHashable", "Std.ExtDHashMap.Const.getD_inter_of_not_mem_left", "Hashable", "Std.ExtHashMap.instMembershipOfEquivBEqOfLawfulHa...
true
Ring.ord_of_irreducible
Mathlib.RingTheory.OrderOfVanishing.Basic
[ "Eq.mpr", "CommRing", "Semiring.toModule", "Ring.ord.eq_1", "instAddMonoidWithOneENat", "IsScalarTower.right", "isSimpleModule_iff_isSimpleModule_of_algebraMap_surjective", "Ring.ord", "Submodule.Quotient.addCommGroup", "congrArg", "CommSemiring.toSemiring", "Field.toDivisionRing", "Irreduci...
true
FunLike.divInvOneMonoid._proof_5
Mathlib.Data.FunLike.Group
[ "Pow", "DivInvOneMonoid.toDivInvMonoid", "DivInvOneMonoid", "FunLike.coe_pow", "Pi.instPow", "DivInvMonoid.toMonoid", "Monoid.toPow", "IsPowApply", "HPow.hPow", "Nat", "instHPow", "Eq", "DFunLike.coe", "FunLike" ]
false
Lean.Grind.CommRing.Poly.ctorIdx
Init.Grind.Ring.CommSolver
[ "Lean.Grind.CommRing.Poly", "Int", "Nat", "Lean.Grind.CommRing.Poly.casesOn", "Lean.Grind.CommRing.Mon" ]
false
Submodule.goursatFst._proof_1
Mathlib.LinearAlgebra.Goursat
[ "RingHomSurjective.ids", "RingHomSurjective", "RingHom.id", "Semiring.toNonAssocSemiring", "Ring.toSemiring", "Ring" ]
false
_private.Mathlib.AlgebraicGeometry.EllipticCurve.Jacobian.Basic.0.WeierstrassCurve.Jacobian.equation_smul._simp_1_2
Mathlib.AlgebraicGeometry.EllipticCurve.Jacobian.Basic
[ "CommRing", "instHSMul", "HMul.hMul", "CommSemiring.toSemiring", "Fin.instOfNat", "instOfNatNat", "instDistribOfSemiring", "Monoid.toPow", "CommRing.toCommSemiring", "HPow.hPow", "WeierstrassCurve.Jacobian.instSMulForallFinOfNatNat", "Distrib.toMul", "Nat.instNeZeroSucc", "Nat", "Semirin...
false
Lean.Lsp.instFromJsonWorkspaceSymbolParams.fromJson
Lean.Data.Lsp.LanguageFeatures
[ "Pure.pure", "Lean.Json", "Lean.instFromJsonString", "Monad.toApplicative", "String", "Lean.Name.mkStr3", "Lean.Json.getObjValAs?", "Applicative.toPure", "ToString.toString", "Except.instMonad", "instAppendString", "Except.mapError", "instHAppendOfAppend", "Lean.Name.instToString", "Lean...
true
_private.Batteries.Data.List.Lemmas.0.List.findIdxs_map._proof_1_1
Batteries.Data.List.Lemmas
[ "False", "eq_false", "congrArg", "List.map", "Classical.byContradiction", "Function.comp", "Eq.mp", "id", "List.findIdxs", "List", "Nat", "True", "eq_true", "Bool", "Eq.refl", "List.findIdxs_nil", "Eq.symm", "Eq", "Not", "Eq.trans", "List.map_nil", "True.intro", "List.nil...
false
CategoryTheory.Functor.flip₁₃._proof_8
Mathlib.CategoryTheory.Functor.CurryingThree
[ "Eq.mpr", "CategoryTheory.Functor.flip₁₃._proof_4", "CategoryTheory.Functor", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "congrArg", "CategoryTheory.NatTrans.mk.congr_simp", "CategoryTheory.Functor.mk", "CategoryTheory.Functor.flip₁₃._proof_6", "CategoryTheory.Functor.category", "Ca...
false
Std.ExtTreeMap.contains_map
Std.Data.ExtTreeMap.Lemmas
[ "Ordering", "Std.TransCmp", "Std.ExtTreeMap", "Std.ExtTreeMap.inner", "Bool", "Std.ExtTreeMap.map", "Std.ExtTreeMap.contains", "Eq", "Std.ExtDTreeMap.contains_map" ]
true
Fintype.not_linearIndependent_iffₒₛ
Mathlib.LinearAlgebra.LinearIndependent.Defs
[ "Iff.mpr", "Eq.mpr", "NonAssocSemiring.toAddCommMonoidWithOne", "instHSMul", "Preorder.toLT", "_private.Mathlib.LinearAlgebra.LinearIndependent.Defs.0.Fintype.not_linearIndependent_iffₒₛ.match_1_6", "compl_compl", "_private.Mathlib.LinearAlgebra.LinearIndependent.Defs.0.Fintype.not_linearIndependent_i...
true
CategoryTheory.Limits.parallelPair.eqOfHomEq
Mathlib.CategoryTheory.Limits.Shapes.Equalizers
[ "CategoryTheory.Functor", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "CategoryTheory.Limits.WalkingParallelPair", "CategoryTheory.Limits.parallelPair.eqOfHomEq._proof_1", "CategoryTheory.Functor.category", "CategoryTheory.Limits.WalkingParallelPair.one", "CategoryTheory.Limits.walkingPara...
true
CategoryTheory.Bicategory.Prod.snd_obj
Mathlib.CategoryTheory.Bicategory.Product
[ "CategoryTheory.Bicategory.Prod.snd", "CategoryTheory.StrictlyUnitaryPseudofunctor.toPseudofunctor", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "CategoryTheory.StrictPseudofunctor.toStrictlyUnitaryPseudofunctor", "CategoryTheory.Pseudofunctor.toPrelaxFunctor", "CategoryTheory.Bicategory.toC...
true
AlgHom.ulift
Mathlib.Algebra.Algebra.Equiv
[ "AlgEquiv.toAlgHom", "ULift.semiring", "AlgEquiv.symm", "AlgHom", "ULift", "Algebra", "CommSemiring", "ULift.algebra", "AlgHom.toRingHom", "ULift.algebra'", "AlgHom.ulift._proof_1", "AlgHom.mk", "Semiring", "AlgHom.comp", "ULift.commSemiring", "ULift.algEquiv" ]
true
_private.Mathlib.Topology.Separation.Basic.0.instLocallyCompactPairOfWeaklyLocallyCompactSpaceOfR1Space.match_1
Mathlib.Topology.Separation.Basic
[ "Filter.instMembership", "Membership.mem", "Exists", "nhds", "And.casesOn", "TopologicalSpace", "And", "Exists.casesOn", "And.intro", "Exists.intro", "Filter", "IsCompact", "Set" ]
false
Fin.cons_apply_cycleRange
Mathlib.GroupTheory.Perm.Fin
[ "Eq.mpr", "Equiv.instEquivLike", "congrArg", "Equiv.symm_apply_apply", "Fin.cons", "Fin.insertNth", "id", "Equiv", "instOfNatNat", "instHAdd", "Fin.cycleRange", "HAdd.hAdd", "Equiv.Perm", "Nat", "instAddNat", "Eq.refl", "Equiv.symm", "OfNat.ofNat", "Eq.symm", "Fin", "Eq", "...
true
_private.Mathlib.Analysis.Complex.Harmonic.Liouville.0.InnerProductSpace.bounded_harmonic_on_complex_plane_is_constant_aux._simp_1_3
Mathlib.Analysis.Complex.Harmonic.Liouville
[ "Exists", "forall_exists_index", "propext", "Exists.intro", "Eq" ]
false
fullyInvariantSubmodule._proof_1
Mathlib.RingTheory.SimpleModule.Isotypic
[ "Submodule", "Submodule.comap_mono", "Submodule.completeLattice", "PartialOrder.toPreorder", "setOf", "Preorder.toLE", "Membership.mem", "CompleteLattice.toConditionallyCompleteLattice", "HasSubset.Subset", "Submodule.instPartialOrder", "LE.le", "AddCommMonoid", "Submodule.comap", "Semirin...
false
_private.Mathlib.Data.List.Basic.0.List.mem_getLast?_append_of_mem_getLast?._proof_1_6
Mathlib.Data.List.Basic
[ "Lean.RArray.leaf", "HMul.hMul", "Lean.Grind.nestedProof", "congrArg", "_private.Mathlib.Data.List.Basic.0.List.mem_getLast?_append_of_mem_getLast?._proof_1_4", "HSub.hSub", "Lean.Grind.Nat.lt_eq", "Eq.rec", "id", "Nat.sub_sub", "Int.instNegInt", "instSubNat", "instOfNatNat", "Int", "Nat...
false
Lean.PersistentArray.mk.noConfusion
Lean.Data.PersistentArray
[ "Lean.PersistentArray.noConfusion", "Lean.PersistentArray.mk", "id", "Lean.PersistentArray", "Lean.PersistentArrayNode", "Array", "heq_of_eq", "Nat", "Eq.refl", "HEq", "Eq", "USize" ]
false
Module.End.instAlgebra
Mathlib.Algebra.Algebra.Basic
[ "CommSemiring.toSemiring", "DistribMulAction.toDistribSMul", "IsScalarTower", "SMul", "AddMonoid.toAddZeroClass", "Module.End.instSemiring", "Algebra", "AddZeroClass.toAddZero", "DistribSMul.toSMulZeroClass", "LinearMap.module", "AddCommMonoid", "CommSemiring", "AddZero.toZero", "Semiring....
true
CategoryTheory.Functor.Final.colimitIso_inv
Mathlib.CategoryTheory.Limits.Final
[ "CategoryTheory.Functor", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "CategoryTheory.Functor.comp", "CategoryTheory.Limits.colimit", "CategoryTheory.Functor.Final.colimit_pre_isIso", "CategoryTheory.Limits.HasColimit", "Eq.refl", "CategoryTheory.inv", "CategoryTheory.Category.toCatego...
true
_private.Init.Data.Rat.Lemmas.0.Rat.divInt_num_den.match_1_3
Init.Data.Rat.Lemmas
[ "HMul.hMul", "Exists", "Ne", "instMulNat", "instOfNatNat", "Int", "Nat.cast", "Int.instMul", "And.casesOn", "And", "Exists.casesOn", "Nat", "And.intro", "Exists.intro", "instNatCastInt", "OfNat.ofNat", "Eq", "instHMul" ]
false
List.iterate.eq_def
Mathlib.Data.List.Defs
[ "List.iterate", "Eq.mpr", "congrArg", "Nat.brecOn.go", "Nat.rec", "Nat.brecOn", "Nat.brecOn.eq", "id", "instOfNatNat", "_private.Mathlib.Data.List.Defs.0.List.iterate.match_1.splitter", "List.cons", "Nat.below", "List", "Unit", "PProd", "PUnit", "Nat", "Eq.ndrec", "Eq.refl", "L...
true
eventually_mem_nhdsWithin_iff._simp_1
Mathlib.Topology.NhdsWithin
[ "Filter.instMembership", "eventually_mem_nhdsWithin_iff", "nhdsWithin", "Filter.Eventually", "Membership.mem", "TopologicalSpace", "propext", "Eq", "Filter", "Set" ]
false
ArchimedeanClass.lt_of_stdPart_lt
Mathlib.Algebra.Order.Ring.StandardPart
[ "IsRightCancelAdd.addRightStrictMono_of_addRightMono", "neg_lt_neg_iff._simp_1", "AddGroup.toSubtractionMonoid", "Eq.mpr", "NegZeroClass.toNeg", "neg_lt_neg_iff", "Real.partialOrder", "Real", "IsDomain.to_noZeroDivisors", "Preorder.toLT", "NonUnitalCommRing.toNonUnitalNonAssocCommRing", "AddLe...
true
String.Slice.ByteIterator.noConfusion
Init.Data.String.Iterate
[ "String.Slice", "String.Pos.Raw", "String.Slice.ByteIterator.casesOn", "String.Slice.ByteIterator", "Eq.ndrec", "Eq.refl", "String.Slice.ByteIterator.noConfusionType", "Eq" ]
false
_private.Mathlib.CategoryTheory.WithTerminal.Basic.0.CategoryTheory.WithTerminal.Hom.match_1.splitter
Mathlib.CategoryTheory.WithTerminal.Basic
[ "CategoryTheory.WithTerminal", "CategoryTheory.WithTerminal.of", "CategoryTheory.WithTerminal.Hom.match_1", "CategoryTheory.WithTerminal.star" ]
true
CategoryTheory.Limits.Cofork.IsColimit.ofExistsUnique._proof_2
Mathlib.CategoryTheory.Limits.Shapes.Equalizers
[ "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "CategoryTheory.Limits.WalkingParallelPair", "CategoryTheory.Limits.walkingParallelPairHomCategory", "And", "And.right", "CategoryTheory.Limits.Cofork", "CategoryTheory.CategoryStruct.comp", "CategoryTheory.Category.toCategoryStruct", "Eq", ...
false
_private.Mathlib.LinearAlgebra.SesquilinearForm.Basic.0.LinearMap.SeparatingLeft.congr._simp_1_1
Mathlib.LinearAlgebra.SesquilinearForm.Basic
[ "AddMonoid.toAddZeroClass", "RingHom", "AddZeroClass.toAddZero", "AddCommMonoid", "RingHomInvPair", "AddZero.toZero", "LinearEquiv.map_eq_zero_iff", "LinearEquiv", "propext", "Semiring", "LinearEquiv.instEquivLike", "Zero.toOfNat0", "AddCommMonoid.toAddMonoid", "Module", "OfNat.ofNat", ...
false
ExteriorAlgebra.exteriorPower
Mathlib.LinearAlgebra.ExteriorAlgebra.Basic
[ "Submodule", "CommRing", "Semiring.toModule", "QuadraticMap.instZero", "Ring.toNonAssocRing", "ExteriorAlgebra", "CommSemiring.toSemiring", "AddCommGroup.toAddCommMonoid", "ExteriorAlgebra.exteriorPower._proof_1", "instAlgebraCliffordAlgebra", "QuadraticForm", "LinearMap.range", "AddCommGrou...
true
isOpen_analyticAt
Mathlib.Analysis.Analytic.ChangeOrigin
[ "Filter.instMembership", "Eq.mpr", "CompleteSpace", "NormedSpace", "congrArg", "FormalMultilinearSeries", "NormedAddCommGroup.toMetricSpace", "AddCommGroup.toAddCommMonoid", "NormedSpace.toModule", "setOf", "PseudoMetricSpace.toUniformSpace", "Membership.mem", "NormedField.toField", "nhds"...
true
ContinuousMap.instContinuousMulOfLocallyCompactSpace
Mathlib.Topology.ContinuousMap.Algebra
[ "ContinuousMap.instContinuousEvalOfLocallyCompactPair", "instLocallyCompactPairOfLocallyCompactSpace", "Continuous", "HMul.hMul", "Continuous.prodMap", "ContinuousMap", "Continuous.comp", "ContinuousMap.continuous_of_continuous_uncurry", "instTopologicalSpaceProd", "Mul", "continuous_snd", "co...
true
lp.norm_sum_single
Mathlib.Analysis.Normed.Lp.lpSpace
[ "Norm.norm", "Eq.mpr", "Real.instPow", "Real", "Pi.addCommMonoid", "Real.instZero", "congrArg", "AddCommGroup.toAddCommMonoid", "Finset", "AddMonoid.toAddZeroClass", "EMetricSpace.metrizableSpace", "SummationFilter", "lp.instNormSubtypePreLpMemAddSubgroup", "Finset.sum_apply", "norm_zero...
true
Aesop.ForwardRuleInfo.conclusionDeps
Aesop.Forward.RuleInfo
[ "Aesop.ForwardRuleInfo", "Aesop.PremiseIndex", "Array" ]
true
Lean.Meta.Sym.Simp.Result.rfl.sizeOf_spec
Lean.Meta.Sym.Simp.SimpM
[ "instOfNatNat", "instHAdd", "Lean.Meta.Sym.Simp.Result", "HAdd.hAdd", "Nat", "SizeOf.sizeOf", "Lean.Meta.Sym.Simp.Result._sizeOf_inst", "Bool", "instAddNat", "Eq.refl", "optParam", "OfNat.ofNat", "Bool.false", "Bool._sizeOf_inst", "Eq", "Lean.Meta.Sym.Simp.Result.rfl" ]
true