name
stringlengths
2
347
module
stringlengths
6
90
deps
listlengths
0
692
allowCompletion
bool
2 classes
Lean.Meta.Grind.EMatchTheoremConstraint.isValue.elim
Lean.Meta.Tactic.Grind.Extension
[ "Lean.Meta.Grind.EMatchTheoremConstraint", "PULift.up", "Lean.Meta.Grind.EMatchTheoremConstraint.ctorElim", "Lean.Meta.Grind.EMatchTheoremConstraint.ctorIdx", "Nat", "Bool", "Eq.symm", "Eq", "Lean.Meta.Grind.EMatchTheoremConstraint.isValue" ]
false
Matroid.fundCircuit
Mathlib.Combinatorics.Matroid.Circuit
[ "setOf", "Set.instSingletonSet", "Insert.insert", "HasSubset.Subset", "Set.instInter", "Inter.inter", "And", "Set.instInsert", "Matroid.closure", "Singleton.singleton", "Set.sInter", "Matroid", "Set.instHasSubset", "Set" ]
true
_private.Mathlib.Tactic.FunProp.Core.0.Mathlib.Meta.FunProp.funProp._sparseCasesOn_1
Mathlib.Tactic.FunProp.Core
[ "Nat.ne_of_beq_eq_false", "Lean.Expr.const", "Lean.Expr.letE", "Lean.Expr.mvar", "Nat.shiftRight", "Lean.MVarId", "Lean.Expr", "Lean.FVarId", "Nat.hasNotBit", "instOfNatNat", "Lean.Expr.sort", "Lean.Expr.bvar", "Lean.Level", "Lean.Literal", "Lean.Expr.mdata", "Lean.Expr.fvar", "Lean....
false
_private.Mathlib.AlgebraicGeometry.ProjectiveSpectrum.Functor.0.AlgebraicGeometry.ProjectiveSpectrum.comap._simp_3
Mathlib.AlgebraicGeometry.ProjectiveSpectrum.Functor
[ "SetLike", "CommRing", "ProjectiveSpectrum.zariskiTopology", "CommSemiring.toSemiring", "AddMonoid.toAddZeroClass", "AddGroupWithOne.toAddMonoidWithOne", "Nat.instAddMonoid", "Exists", "AddSubmonoidClass", "IsClosed", "CommRing.toCommSemiring", "GradedRing", "ProjectiveSpectrum.isClosed_iff_...
false
MvPolynomial.renameEquiv
Mathlib.Algebra.MvPolynomial.Rename
[ "Nat.instMulZeroClass", "AddMonoidAlgebra.semiring", "Equiv.instEquivLike", "CommSemiring.toSemiring", "AlgHom", "AlgHom.funLike", "AddMonoidAlgebra.algebra", "Finsupp.instAddMonoid", "Nat.instAddMonoid", "Equiv.mk", "Algebra.id", "Equiv", "MvPolynomial.renameEquiv._proof_2", "AlgEquiv.mk"...
true
DividedPowerAlgebra.lift'_apply
Mathlib.RingTheory.DividedPowerAlgebra.Init
[ "NonAssocSemiring.toAddCommMonoidWithOne", "Nat.instMulZeroClass", "AddMonoidAlgebra.semiring", "instHSMul", "Nat.choose", "HMul.hMul", "MvPolynomial.aeval", "Algebra.algebraMap", "congrArg", "CommSemiring.toSemiring", "DistribMulAction.toDistribSMul", "AlgHom", "AlgHom.funLike", "AddMonoi...
true
CategoryTheory.LocalizerMorphism.smallHomMap'._proof_3
Mathlib.CategoryTheory.Localization.SmallHom
[ "CategoryTheory.MorphismProperty", "CategoryTheory.Localization.hasSmallLocalizedHom_of_isos", "CategoryTheory.Iso.refl", "CategoryTheory.Iso", "CategoryTheory.LocalizerMorphism.functor", "CategoryTheory.Localization.HasSmallLocalizedHom", "CategoryTheory.Iso.symm", "CategoryTheory.Category.toCategory...
false
CategoryTheory.ShortComplex.HomologyData.recOn
Mathlib.Algebra.Homology.ShortComplex.Homology
[ "CategoryTheory.Limits.HasZeroMorphisms", "CategoryTheory.ShortComplex.LeftHomologyData", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "CategoryTheory.ShortComplex.RightHomologyData", "CategoryTheory.ShortComplex", "CategoryTheory.ShortComplex.RightHomologyData.H", "CategoryTheory.Iso", "...
false
_private.Mathlib.CategoryTheory.Limits.Shapes.Pullback.IsPullback.Defs.0.CategoryTheory.IsPullback.isoPullback_inv_snd._simp_1_1
Mathlib.CategoryTheory.Limits.Shapes.Pullback.IsPullback.Defs
[ "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "CategoryTheory.Iso.inv_comp_eq", "CategoryTheory.Iso", "propext", "CategoryTheory.CategoryStruct.comp", "CategoryTheory.Category.toCategoryStruct", "CategoryTheory.Iso.hom", "Eq", "CategoryTheory.Iso.inv", "CategoryTheory.Category" ]
false
Std.DTreeMap.Internal.Impl.getEntry?.eq_def
Std.Data.DTreeMap.Internal.Model
[ "Eq.mpr", "Ord", "congrArg", "Std.DTreeMap.Internal.Impl.getEntry?", "Std.DTreeMap.Internal.Impl.rec", "Std.DTreeMap.Internal.Impl.contains.match_3", "Option.some", "Ordering", "Std.DTreeMap.Internal.Impl.inner", "id", "Ord.compare", "Std.DTreeMap.Internal.Impl.brecOn.go", "Option.none", "...
true
AlgebraicGeometry.Scheme.affineOpens.eq_1
Mathlib.AlgebraicGeometry.Morphisms.RingHomProperties
[ "AlgebraicGeometry.Scheme", "setOf", "AlgebraicGeometry.IsAffineOpen", "AlgebraicGeometry.Scheme.affineOpens", "Eq.refl", "Eq", "AlgebraicGeometry.Scheme.Opens", "Set" ]
true
AddChar.zmod_char_primitive_of_eq_one_only_at_zero
Mathlib.NumberTheory.LegendreSymbol.AddCharacter
[ "MulOne.toOne", "HMul.hMul", "ZMod.commRing", "Monoid.toMulOneClass", "congrArg", "CommSemiring.toSemiring", "AddChar.IsPrimitive", "AddChar.instOne", "AddGroupWithOne.toAddMonoidWithOne", "AddChar", "Eq.mp", "MulOne.toMul", "AddMonoidWithOne.toNatCast", "Ne", "instOfNatNat", "AddChar....
true
quasispectrum.preimage_algebraMap
Mathlib.Algebra.Algebra.Spectrum.Quasispectrum
[ "Set.ext", "instSMulOfMul", "Algebra.algebraMap", "CommSemiring.toSemiring", "DistribMulAction.toDistribSMul", "IsScalarTower", "AddMonoid.toAddZeroClass", "NonUnitalNonAssocRing.toAddCommGroup", "quasispectrum", "Algebra", "AddCommGroup.toAddGroup", "RingHom", "Algebra.toSMul", "NonUnital...
true
Std.DTreeMap.Equiv.getEntryLT_eq.match_1
Std.Data.DTreeMap.Lemmas
[ "Std.DTreeMap", "Membership.mem", "Ordering", "And.casesOn", "Std.DTreeMap.instMembership", "And", "Ordering.lt", "And.intro", "Eq" ]
false
Lean.JsonRpc.RequestID._sizeOf_1
Lean.Data.JsonRpc
[ "Lean.JsonRpc.RequestID.rec", "String", "Lean.JsonNumber", "Lean.JsonNumber._sizeOf_inst", "instOfNatNat", "instHAdd", "HAdd.hAdd", "Nat", "SizeOf.sizeOf", "instAddNat", "String._sizeOf_inst", "Lean.JsonRpc.RequestID", "OfNat.ofNat" ]
false
Mathlib.Tactic.Push.push
Mathlib.Tactic.Push
[ "Inhabited.default", "ReaderT", "String", "Lean.Meta.State", "instMonadLiftT", "Lean.Elab.Tactic.Context", "Lean.Core.instMonadOptionsCoreM", "Mathlib.Tactic.Push.Head", "Lean.instMonadOptionsOfMonadLift", "Lean.Expr", "Lean.Meta.MetaM", "IO.RealWorld", "Lean.Meta.Simp.Result", "liftM", ...
true
_private.Init.Data.Int.DivMod.Bootstrap.0.Int.ediv_zero.match_1_1
Init.Data.Int.DivMod.Bootstrap
[ "Int.casesOn", "Int.ofNat", "Int", "Nat", "Int.negSucc" ]
false
ISize.ofIntLE.congr_simp
Init.Data.SInt.Lemmas
[ "ISize.minValue", "ISize.maxValue", "Eq.rec", "Int", "LE.le", "Eq.ndrec", "Eq.refl", "ISize.ofIntLE", "ISize", "Eq", "Int.instLEInt", "ISize.toInt" ]
true
Lean.Compiler.LCNF.NormFVarResult.erased.sizeOf_spec
Lean.Compiler.LCNF.CompilerM
[ "instOfNatNat", "Lean.Compiler.LCNF.NormFVarResult._sizeOf_inst", "Lean.Compiler.LCNF.NormFVarResult", "Nat", "SizeOf.sizeOf", "Eq.refl", "Lean.Compiler.LCNF.NormFVarResult.erased", "OfNat.ofNat", "Eq" ]
true
SimpleGraph.lapMatrix_mulVec_eq_zero_iff_forall_reachable
Mathlib.Combinatorics.SimpleGraph.LapMatrix
[ "Eq.mpr", "Pi.Function.module", "Pi.instStarForall", "instTrivialStarReal", "Real", "Algebra.to_smulCommClass", "NonUnitalCommRing.toNonUnitalNonAssocCommRing", "Semiring.toModule", "instStarRingReal", "Pi.addCommMonoid", "Pi.instTrivialStarForall", "Matrix.module", "Real.instZero", "Real....
true
CategoryTheory.Monad.ForgetCreatesColimits.liftedCocone
Mathlib.CategoryTheory.Monad.Limits
[ "CategoryTheory.Monad.ForgetCreatesColimits.commuting", "CategoryTheory.Monad", "CategoryTheory.Functor", "CategoryTheory.Monad.forget", "CategoryTheory.Limits.Cocone", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "CategoryTheory.Functor.category", "CategoryTheory.Functor.comp", "Catego...
true
sdiff_inf_distrib
Mathlib.Order.Heyting.Basic
[ "Eq.mpr", "Lattice.toSemilatticeSup", "congrArg", "PartialOrder.toPreorder", "_private.Mathlib.Order.Heyting.Basic.0.sdiff_inf_distrib._simp_1_1", "eq_of_forall_ge_iff", "GeneralizedCoheytingAlgebra", "Preorder.toLE", "SemilatticeInf.toPartialOrder", "SemilatticeSup.toMax", "id", "SemilatticeI...
true
GenContFract.first_den_eq
Mathlib.Algebra.ContinuedFractions.Translations
[ "GenContFract.s", "GenContFract.dens", "GenContFract.Pair.b", "HMul.hMul", "GenContFract.Pair.a", "GenContFract.first_cont_eq", "congrArg", "Option.some", "DivisionRing.toDivisionSemiring", "Distrib.toAdd", "GenContFract.conts", "instOfNatNat", "GenContFract", "instDistribOfSemiring", "G...
true
orderBornology
Mathlib.Topology.Order.Bornology
[ "Lattice", "PartialOrder.toPreorder", "setOf", "Preorder.toLE", "SemilatticeInf.toPartialOrder", "orderBornology._proof_1", "BddAbove", "And", "orderBornology._proof_3", "orderBornology._proof_4", "BddBelow", "Nonempty", "Bornology.ofBounded", "Bornology", "Lattice.toSemilatticeInf", "...
true
Metric.vadd_eball
Mathlib.Topology.MetricSpace.IsometricSMul
[ "PseudoEMetricSpace.toWeakPseudoEMetricSpace", "IsIsometricVAdd", "AddMonoid.toAddSemigroup", "IsometryEquiv.image_eball", "Set.vaddSet", "IsometryEquiv.constVAdd", "Metric.eball", "PseudoEMetricSpace", "HVAdd.hVAdd", "AddAction", "AddAction.toAddSemigroupAction", "AddGroup", "AddSemigroupAc...
true
SimpleGraph.Walk.IsHamiltonianCycle.mk._flat_ctor
Mathlib.Combinatorics.SimpleGraph.Hamiltonian
[ "SimpleGraph.Walk.IsCircuit.mk", "SimpleGraph.Walk.support", "SimpleGraph.Walk", "SimpleGraph.Walk.IsTrail.mk", "Ne", "SimpleGraph.Walk.IsHamiltonianCycle.mk", "List.tail", "SimpleGraph", "List.Nodup", "SimpleGraph.Walk.IsHamiltonianCycle", "SimpleGraph.Walk.nil", "SimpleGraph.Walk.tail", "S...
false
_private.Init.Data.Array.Erase.0.Array.exists_erase_eq.match_1_1
Init.Data.Array.Erase
[ "Array.instAppend", "Array.eraseP", "Array.push", "Array.instMembership", "Membership.mem", "Exists", "Array", "And.casesOn", "Bool.true", "instHAppendOfAppend", "And", "BEq.beq", "Exists.casesOn", "And.intro", "Exists.intro", "Bool", "BEq", "Eq", "Not", "HAppend.hAppend" ]
false
_private.Mathlib.CategoryTheory.Presentable.OrthogonalReflection.0.CategoryTheory.OrthogonalReflection.isIso_toSucc_iff._simp_1_1
Mathlib.CategoryTheory.Presentable.OrthogonalReflection
[ "CategoryTheory.MorphismProperty", "CategoryTheory.OrthogonalReflection.D₁", "CategoryTheory.OrthogonalReflection.D₁.obj₂", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "CategoryTheory.OrthogonalReflection.D₁.ιLeft", "CategoryTheory.OrthogonalReflection.D₁.obj₁", "CategoryTheory.Limits.HasC...
false
_private.Mathlib.NumberTheory.LSeries.RiemannZeta.0.two_mul_riemannZeta_eq_tsum_int_inv_pow_of_even._proof_1_1
Mathlib.NumberTheory.LSeries.RiemannZeta
[ "Lean.RArray.leaf", "False", "Lean.Grind.not_not", "Int.Linear.le_norm_expr", "Int.Linear.le_unsat", "Classical.byContradiction", "Nat.ToInt.natCast_ofNat", "id", "Lean.RArray", "Int.instNegInt", "Int.Linear.eq_le_subst_nonneg", "instOfNatNat", "Int", "NatCast.natCast", "LE.le", "Int.L...
false
Lean.Meta.Grind.EMatch.SearchState._sizeOf_1
Lean.Meta.Tactic.Grind.EMatch
[ "Lean.Meta.Grind.EMatch.SearchState", "Std.HashMap._sizeOf_inst", "Lean.Meta.Grind.EMatchTheorem", "instOfNatNat", "Lean.Meta.Grind.EMatch.SearchState.rec", "Lean.Meta.Grind.EMatch.InstanceMap", "List", "instHAdd", "Lean.Meta.Grind.EMatch.Choice", "HAdd.hAdd", "Lean.instSizeOfName", "Nat", "...
false
IterateMulAct.instMeasurableSpace
Mathlib.MeasureTheory.MeasurableSpace.Instances
[ "Lattice.toSemilatticeSup", "CompleteLattice.toLattice", "PartialOrder.toPreorder", "Preorder.toLE", "CompleteLattice.toBoundedOrder", "MeasurableSpace", "IterateMulAct", "OrderTop.toTop", "BoundedOrder.toOrderTop", "MeasurableSpace.instCompleteLattice", "SemilatticeSup.toPartialOrder", "Top.t...
true
_private.Mathlib.Data.Nat.Totient.0.Nat.totient_eq_one_iff.match_1_1
Mathlib.Data.Nat.Totient
[ "Unit.unit", "instOfNatNat", "Unit", "Nat", "OfNat.ofNat", "Nat.succ", "Nat.casesOn" ]
false
ModuleCat.FilteredColimits.colimitModule
Mathlib.Algebra.Category.ModuleCat.FilteredColimits
[ "ModuleCat.FilteredColimits.colimitModule._proof_1", "ModuleCat.FilteredColimits.colimitSMulWithZero", "CategoryTheory.Functor", "ModuleCat", "AddCommGroup.toAddCommMonoid", "ModuleCat.FilteredColimits.colimitModule._proof_3", "Module.mk", "ModuleCat.FilteredColimits.colimitMulAction", "DistribMulAc...
true
CategoryTheory.Functor.RightExtension.precomp_obj_left
Mathlib.CategoryTheory.Functor.KanExtension.Basic
[ "CategoryTheory.Functor", "CategoryTheory.Functor.RightExtension.precomp", "CategoryTheory.Functor.category", "CategoryTheory.Comma.left", "CategoryTheory.Functor.comp", "CategoryTheory.Comma", "CategoryTheory.instCategoryCostructuredArrow_1", "CategoryTheory.discreteCategory", "PUnit", "CategoryT...
true
Std.Http.URI.IsValidScheme
Std.Internal.Http.Data.URI.Basic
[ "List.head?", "List.all", "String", "Char.isAlpha", "Option.getD", "Std.Http.Internal.IsLowerCase", "Bool.true", "Option.map", "And", "String.toList", "Bool", "Char", "Std.Http.Internal.Char.isValidSchemeChar", "Bool.false", "Eq" ]
true
AddMonCat.HasLimits.limitConeIsLimit._proof_9
Mathlib.Algebra.Category.MonCat.Limits
[ "Eq.mpr", "CategoryTheory.Limits.Cone.π", "CategoryTheory.Functor", "Subtype.mk.congr_simp", "CategoryTheory.Limits.Cone", "AddMonCat.instConcreteCategoryAddMonoidHomCarrier", "AddMonoidHom.instAddMonoidHomClass", "Equiv.instEquivLike", "CategoryTheory.Limits.Types.Small.limitCone", "AddMonCat.add...
false
AddSubmonoid.centralizer._proof_1
Mathlib.GroupTheory.Submonoid.Centralizer
[ "AddMonoid.toAddSemigroup", "Set.add_mem_addCentralizer", "Set.addCentralizer", "Membership.mem", "instHAdd", "AddSemigroup.toAdd", "HAdd.hAdd", "AddMonoid", "Set.instMembership", "Set" ]
false
CategoryTheory.Discrete.sumEquiv
Mathlib.CategoryTheory.Discrete.SumsProducts
[ "CategoryTheory.Discrete.sumEquiv.match_1", "CategoryTheory.Discrete.sumEquiv.match_3", "CategoryTheory.sum", "CategoryTheory.Equivalence", "CategoryTheory.Functor.comp", "CategoryTheory.Discrete.functor", "CategoryTheory.Discrete.natIso", "CategoryTheory.Functor.id", "Sum", "CategoryTheory.Iso.re...
true
volume_set_coe_def
Mathlib.MeasureTheory.Measure.Restrict
[ "MeasureTheory.Measure", "MeasureTheory.MeasureSpace.toMeasurableSpace", "MeasureTheory.Measure.Subtype.measureSpace", "Membership.mem", "Set.Elem", "Subtype", "MeasureTheory.MeasureSpace.volume", "MeasureTheory.Measure.comap", "Subtype.instMeasurableSpace", "Subtype.val", "Eq", "Set.instMembe...
true
_private.Std.Sync.Barrier.0.Std.BarrierState.generationId
Std.Sync.Barrier
[ "_private.Std.Sync.Barrier.0.Std.BarrierState", "Nat" ]
true
Lean.Omega.IntList.smul_nil
Init.Omega.IntList
[ "HMul.hMul", "Int", "List", "Lean.Omega.IntList.instHMulInt", "Eq", "Lean.Omega.IntList", "rfl", "List.nil" ]
true
LieAlgebra.HasCentralRadical.mk
Mathlib.Algebra.Lie.Semisimple.Defs
[ "CommRing", "LieAlgebra.HasCentralRadical.mk", "LieRing", "LieIdeal", "LieAlgebra", "LieAlgebra.center", "Eq", "LieAlgebra.radical", "LieAlgebra.HasCentralRadical" ]
true
Ordnode.insert._unsafe_rec
Mathlib.Data.Ordmap.Ordnode
[ "Ordnode", "Ordering", "Ordnode.mem.match_1", "cmpLE", "Ordnode.node", "LE", "Ordnode.insert._unsafe_rec", "DecidableLE", "Unit", "Ordnode.singleton", "Ordnode.balanceL", "Ordnode.size.match_1", "Nat", "Ordnode.balanceR" ]
false
_private.Mathlib.RepresentationTheory.Homological.GroupHomology.LowDegree.0.groupHomology.H1ToTensorOfIsTrivial_H1π_single._simp_1_3
Mathlib.RepresentationTheory.Homological.GroupHomology.LowDegree
[ "Submodule", "AddCommGroup.toAddCommMonoid", "Submodule.Quotient.mk", "Submodule.Quotient.quotientAddGroupMk_eq_mk", "AddCommGroup.toAddGroup", "Submodule.hasQuotient", "AddCommGroup", "QuotientAddGroup.mk", "AddSubgroup", "HasQuotient.Quotient", "Submodule.toAddSubgroup", "QuotientAddGroup.in...
false
_private.Lean.Linter.UnusedVariables.0.Lean.Linter.unusedVariablesIgnoreFnsExt.match_3
Lean.Linter.UnusedVariables
[ "Prod.mk", "Array", "List", "Lean.Linter.IgnoreFunction", "Lean.Name", "Prod", "Prod.casesOn" ]
false
_private.Lean.Meta.IndPredBelow.0.Lean.Meta.IndPredBelow.withBRecOnArgs.go.go2._unsafe_rec
Lean.Meta.IndPredBelow
[ "Lean.mkAppN", "_private.Lean.Meta.IndPredBelow.0.Lean.Meta.IndPredBelow.Context.levelParams", "_private.Lean.Meta.IndPredBelow.0.Lean.Meta.IndPredBelow.Context.motives", "Array.push", "Lean.Meta.forallTelescope", "ReaderT", "instMonadControlTOfPure", "List.map", "Lean.Meta.State", "Lean.Expr.cons...
false
CategoryTheory.Pseudofunctor.DescentData'.pullHom'_eq_pullHom
Mathlib.CategoryTheory.Sites.Descent.DescentDataPrime
[ "CategoryTheory.IsPullback.hom_ext", "Eq.mpr", "CategoryTheory.Pseudofunctor.DescentData'.pullHom'", "Opposite", "CategoryTheory.Limits.ChosenPullback.isPullback", "CategoryTheory.LocallyDiscrete.mk", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "CategoryTheory.Pseudofunctor.DescentData'....
true
ProbabilityTheory.Kernel.instIsDeterministicProdSwap
Mathlib.Probability.Kernel.Deterministic
[ "ProbabilityTheory.Kernel.instIsDeterministicDeterministic", "inferInstance", "ProbabilityTheory.IsDeterministic", "id", "ProbabilityTheory.Kernel.deterministic", "MeasurableSpace", "measurable_swap", "ProbabilityTheory.Kernel.swap", "Prod.swap", "Prod", "Prod.instMeasurableSpace" ]
true
LinearIndependent.of_isLocalizedModule
Mathlib.RingTheory.Localization.Module
[ "IsLocalization.IsInteger", "_private.Mathlib.RingTheory.Localization.Module.0.LinearIndependent.of_isLocalizedModule.match_1_8", "Eq.mpr", "RingHom.instRingHomClass", "_private.Mathlib.RingTheory.Localization.Module.0.LinearIndependent.of_isLocalizedModule._simp_1_3", "instHSMul", "_private.Mathlib.Rin...
true
_private.Mathlib.Topology.Algebra.Module.LocallyConvex.0.LinearOrderedSemiring.toLocallyConvexSpace._simp_5
Mathlib.Topology.Algebra.Module.LocallyConvex
[ "Filter.instMembership", "Preorder.toLT", "LinearOrder", "PartialOrder.toPreorder", "Membership.mem", "SemilatticeInf.toPartialOrder", "nhds", "DistribLattice.toLattice", "Ioo_mem_nhds", "TopologicalSpace", "LT.lt", "True", "eq_true", "OrderClosedTopology", "Eq", "Set.Ioo", "instDist...
false
CategoryTheory.MorphismProperty.FunctorialFactorizationData.mapZ_comp
Mathlib.CategoryTheory.MorphismProperty.Factorization
[ "CategoryTheory.MorphismProperty.FunctorialFactorizationData", "CategoryTheory.MorphismProperty", "CategoryTheory.MorphismProperty.MapFactorizationData.Z", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "CategoryTheory.MorphismProperty.FunctorialFactorizationData.mapZ", "CategoryTheory.Morphism...
true
Polynomial.Monic.natDegree_pow
Mathlib.Algebra.Polynomial.Monic
[ "Eq.mpr", "MulOne.toOne", "Nat.instMulZeroClass", "Nat.recAux", "HMul.hMul", "Monoid.toMulOneClass", "congrArg", "pow_succ", "MulZeroClass.zero_mul", "id", "MulOne.toMul", "instMulNat", "instOfNatNat", "add_comm", "Polynomial", "pow_zero", "Monoid.toPow", "Polynomial.Monic", "ins...
true
Encodable.encodek₂
Mathlib.Logic.Encodable.Basic
[ "Iff.mpr", "Encodable.mem_decode₂", "Option.instMembership", "Encodable.decode₂", "Option.some", "Membership.mem", "Nat", "Encodable.encode", "Eq", "Encodable", "rfl", "Option" ]
true
_private.Mathlib.NumberTheory.NumberField.Completion.FinitePlace.0.instIsDiscreteValuationRingSubtypeAdicCompletionMemValuationSubringAdicCompletionIntegers._simp_2
Mathlib.NumberTheory.NumberField.Completion.FinitePlace
[ "Valuation.mem_maximalIdeal_iff", "LinearOrderedCommGroupWithZero.toLinearOrderedCommMonoidWithZero", "Preorder.toLT", "Semiring.toModule", "InvOneClass.toOne", "DivisionCommMonoid.toDivisionMonoid", "DivInvOneMonoid.toInvOneClass", "CommSemiring.toSemiring", "PartialOrder.toPreorder", "ValuationS...
false
_private.Lean.Meta.Tactic.LibrarySearch.0.Lean.Meta.LibrarySearch.isVar
Lean.Meta.Tactic.LibrarySearch
[ "Lean.MVarId", "Lean.Expr", "Lean.FVarId", "Bool.true", "Nat", "Bool", "Bool.false", "_private.Lean.Meta.Tactic.LibrarySearch.0.Lean.Meta.LibrarySearch.isVar.match_1" ]
true
CategoryTheory.ShortComplex.rightHomologyιNatTrans
Mathlib.Algebra.Homology.ShortComplex.RightHomology
[ "CategoryTheory.Limits.HasZeroMorphisms", "CategoryTheory.Functor", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "CategoryTheory.Functor.category", "CategoryTheory.ShortComplex", "CategoryTheory.ShortComplex.rightHomologyFunctor._proof_1", "CategoryTheory.ShortComplex.rightHomologyιNatTrans...
true
CategoryTheory.Quiv.hom_map_inv_map_of_iso
Mathlib.CategoryTheory.Category.Quiv
[ "Eq.mpr", "Prefunctor.comp_map", "CategoryTheory.Iso.inv_hom_id", "CategoryTheory.Quiv.str'", "CategoryTheory.Quiv.hom_map_inv_map_of_iso._proof_1", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "congrArg", "Quiver.homOfEq", "CategoryTheory.CategoryStruct.id", "Prefunctor.comp", "id"...
true
SSet.Truncated.Edge.tgt_eq
Mathlib.AlgebraicTopology.SimplicialSet.CompStructTruncated
[ "SSet.Truncated.Edge", "CategoryTheory.ObjectProperty.FullSubcategory.mk", "Opposite", "CategoryTheory.CategoryStruct.toQuiver", "CategoryTheory.ConcreteCategory.hom", "SSet.Truncated.Edge.edge", "Quiver.Hom.op", "SimplexCategory.Truncated.δ₂", "SSet.Truncated", "TypeCat.instFunLikeFun", "SSet.T...
true
Aesop.IndexMatchResult.instOrd
Aesop.Index.Basic
[ "Ord", "Aesop.IndexMatchResult", "Ord.mk", "Ord.compare", "Aesop.IndexMatchResult.rule" ]
true
Finset.local_lubell_yamamoto_meshalkin_inequality_mul
Mathlib.Combinatorics.SetFamily.LYM
[ "Finset.coe_eq_singleton", "Iff.mpr", "Eq.mpr", "Set.Sized.empty_mem_iff", "False", "Nat.instOrderedSub", "Finset.shadow", "Nat.instIsOrderedAddMonoid", "HMul.hMul", "Set.Sized", "Finset.erase_injOn", "congrArg", "Compl.compl", "Finset", "_private.Mathlib.Combinatorics.SetFamily.LYM.0.Fi...
true
CategoryTheory.Sieve.sieveOfSubfunctor._proof_1
Mathlib.CategoryTheory.Sites.Sieves
[ "CategoryTheory.NatTrans.naturality_apply", "CategoryTheory.Functor", "Opposite", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "congrArg", "CategoryTheory.ConcreteCategory.hom", "Quiver.Hom.op", "CategoryTheory.Functor.category", "TypeCat.instFunLikeFun", "Exists", "CategoryTheory.y...
false
BoxIntegral.Box.nonempty_coe
Mathlib.Analysis.BoxIntegral.Box.Basic
[ "Real", "BoxIntegral.Box.toSet", "Set.Nonempty", "BoxIntegral.Box.exists_mem", "BoxIntegral.Box" ]
true
Matrix.instLieRingToLieAlgebra._proof_28
Mathlib.Algebra.Lie.SerreConstruction
[ "LieAlgebra.toModule", "Matrix.instLieRingToLieAlgebra._proof_16", "CommRing", "Matrix.instLieRingToLieAlgebra._aux_12", "FreeLieAlgebra.instLieRing", "LieRing.toAddCommGroup", "Matrix", "SubNegMonoid.mk", "Add.mk", "Neg.mk", "AddMonoid.toZero", "Matrix.instLieRingToLieAlgebra._proof_23", "B...
false
MLList.append
Batteries.Data.MLList.Basic
[ "Inhabited.default", "Unit", "Inhabited", "Monad", "MLList", "Inhabited.mk" ]
true
ArithmeticFunction.prod_eq_iff_prod_pow_moebius_eq_on_of_nonzero
Mathlib.NumberTheory.ArithmeticFunction.Moebius
[ "CommMonoidWithZero.toCommMonoid", "Units.val", "Eq.mpr", "GroupWithZero.toMonoidWithZero", "MonoidHom.instMonoidHomClass", "Dvd.dvd", "MonoidHom.instFunLike", "imp_congr_right", "Units.coeHom", "GroupWithZero.toDivInvMonoid", "Nat.divisorsAntidiagonal", "DivisionCommMonoid.toDivisionMonoid", ...
true
FreeMonoid.map.eq_1
Mathlib.Algebra.FreeMonoid.Basic
[ "MulOne.toOne", "CancelMonoid.toRightCancelMonoid", "FreeMonoid", "Equiv.instEquivLike", "MonoidHom", "Monoid.toMulOneClass", "List.map", "OneHom.mk", "FreeMonoid.instCancelMonoid", "Equiv", "MonoidHom.mk", "List", "MulOneClass.toMulOne", "FreeMonoid.ofList", "FreeMonoid.map._proof_1", ...
true
String.Slice.Pattern.Model.IsLongestRevMatch.rec
Init.Data.String.Lemmas.Pattern.Basic
[ "String.Slice.Pattern.Model.IsRevMatch", "String.Slice", "LT.lt", "String.instLTPos_1", "String.Slice.Pattern.Model.PatternModel", "String.Slice.Pos", "String.Slice.Pattern.Model.IsLongestRevMatch", "String.Slice.Pattern.Model.IsLongestRevMatch.mk", "Not" ]
false
Nat.dvd_left_iff_eq
Mathlib.Data.Nat.Init
[ "Iff.mpr", "Eq.mpr", "Dvd.dvd", "congrArg", "Iff.rfl", "id", "Iff", "Nat.instDvd", "Nat", "Nat.dvd_refl", "Iff.intro", "Iff.mp", "Eq", "Nat.dvd_antisymm" ]
true
Array.foldrM_empty
Init.Data.Array.Lemmas
[ "Pure.pure", "Array.forIn'._proof_2", "False", "dite_congr", "congrArg", "Monad.toApplicative", "ite_self", "Array.foldrM.fold", "Nat.not_lt_zero._simp_1", "instOfNatNat", "LE.le", "instLENat", "Applicative.toPure", "dite", "List.toArray", "Array.foldrM_fold_empty", "List.size_toArra...
true
_private.Mathlib.MeasureTheory.Constructions.Cylinders.0.MeasureTheory.generateFrom_measurableCylinders._simp_1_5
Mathlib.MeasureTheory.Constructions.Cylinders
[ "Exists", "forall_exists_index", "propext", "Exists.intro", "Eq" ]
false
WithLp.prodContinuousLinearEquiv_apply
Mathlib.Analysis.Normed.Lp.ProdLp
[ "WithLp", "WithLp.prodContinuousLinearEquiv", "WithLp.instProdTopologicalSpace", "AddCommGroup.toAddCommMonoid", "instTopologicalSpaceProd", "WithLp.instAddCommGroup", "AddCommGroup", "ContinuousLinearEquiv.equivLike", "TopologicalSpace", "ContinuousLinearEquiv", "RingHomInvPair.ids", "ENNReal...
true
IsSemisimpleModule.exists_end_ringEquiv_pi_matrix_end
Mathlib.RingTheory.SimpleModule.WedderburnArtin
[ "Submodule", "IsScalarTower.to_smulCommClass'", "Nat.instMulZeroClass", "Matrix.add", "instSMulOfMul", "CommSemiring.toSemiring", "DistribMulAction.toDistribSMul", "AddCommGroup.toAddCommMonoid", "Matrix.instMulOfFintypeOfAddCommMonoid", "Matrix", "Submodule.addCommMonoid", "AddMonoid.toAddZer...
true
Std.DTreeMap.Internal.Impl.Const.get_alter!_self
Std.Data.DTreeMap.Internal.Lemmas
[ "Eq.mpr", "Std.DTreeMap.Internal.Impl.SizedBalancedTree.impl", "Ord", "congrArg", "Std.TransOrd", "HSub.hSub", "Membership.mem", "Eq.mp", "Std.DTreeMap.Internal.Impl.size", "id", "instSubNat", "instOfNatNat", "Std.DTreeMap.Internal.Impl.WF", "Std.DTreeMap.Internal.Impl.Const.mem_alter_self...
true
ZFSet.pair.eq_1
Mathlib.SetTheory.ZFC.Basic
[ "ZFSet", "Insert.insert", "ZFSet.pair", "ZFSet.instSingleton", "Eq.refl", "Singleton.singleton", "Eq", "ZFSet.instInsert" ]
true
Pi.vsub_def
Mathlib.Algebra.AddTorsor.Basic
[ "Pi.addGroup", "AddTorsor.toVSub", "VSub.vsub", "AddGroup", "Pi.instAddTorsor", "AddTorsor", "Eq", "rfl" ]
true
_private.Mathlib.LinearAlgebra.FreeProduct.Basic.0.LinearAlgebra.FreeProduct.rel.match_1.eq_1
Mathlib.LinearAlgebra.FreeProduct.Basic
[ "Unit.unit", "Fin.instOfNat", "instOfNatNat", "Unit", "Nat.instNeZeroSucc", "Nat", "Eq.refl", "OfNat.ofNat", "Fin", "Eq", "LinearAlgebra.FreeProduct.rel.match_1" ]
true
Lean.MessageData.instCoeLevel
Lean.Message
[ "Lean.MessageData", "Coe.mk", "Lean.Level", "Lean.MessageData.ofLevel", "Coe" ]
true
NoMaxOrder.infinite
Mathlib.Order.Interval.Set.Infinite
[ "Nat.exists_strictMono", "Infinite.of_injective", "Preorder.toLT", "StrictMono", "NoMaxOrder", "Exists", "_private.Mathlib.Order.Interval.Set.Infinite.0.NoMaxOrder.infinite.match_1", "StrictMono.injective", "Nat.instPreorder", "Nat", "Nonempty", "Infinite", "Preorder", "instInfiniteNat", ...
true
Stream'.Seq.corec_eq
Mathlib.Data.Seq.Defs
[ "Eq.mpr", "Stream'.Seq", "Stream'.corec'_eq", "congrArg", "Option.casesOn", "Option.some", "id", "Stream'.Seq.omap.match_1", "Prod.mk", "instOfNatNat", "Stream'.Seq.omap", "Prod.fst", "Subtype.mk", "congr_arg", "Stream'", "Stream'.corec'", "Option.none", "Option.map", "Stream'.Se...
true
_private.Mathlib.AlgebraicGeometry.EllipticCurve.Projective.Formula.0.WeierstrassCurve.Projective.toAffine_slope_of_ne
Mathlib.AlgebraicGeometry.EllipticCurve.Projective.Formula
[ "Mathlib.Tactic.FieldSimp.zpow'_one", "Mathlib.Tactic.FieldSimp.NF.div_eq_eval₁", "Eq.mpr", "GroupWithZero.toMonoidWithZero", "Mathlib.Tactic.FieldSimp.subst_sub", "WeierstrassCurve.Projective.toAffine", "Mathlib.Tactic.FieldSimp.eq_div_of_eq_one_of_subst", "instHDiv", "NeZero.one", "InvOneClass.t...
true
Lean.Parser.Term.forInMacro'.formatter
Lean.Parser.Term
[ "Lean.PrettyPrinter.Formatter", "Lean.ppSpace.formatter", "Lean.Parser.withCache.formatter", "Lean.Parser.leadingNode.formatter", "instOfNatNat", "Lean.PrettyPrinter.Formatter.withAntiquot.formatter", "Lean.Parser.symbol.formatter", "Bool.true", "Nat", "Lean.Parser.termParser.formatter", "Lean.P...
true
Lean.Elab.Info.ofTacticInfo.inj
Lean.Elab.InfoTree.Types
[ "Lean.Elab.Info.ofTacticInfo", "Lean.Elab.Info.ofTacticInfo.noConfusion", "Lean.Elab.Info", "Eq", "Lean.Elab.TacticInfo" ]
true
Encodable.decodeList._proof_1
Mathlib.Logic.Equiv.List
[ "InvImage", "id", "Nat", "LT.lt", "instLTNat", "Nat.succ" ]
false
TopHom._sizeOf_1
Mathlib.Order.Hom.Bounded
[ "instSizeOfDefault", "instOfNatNat", "instHAdd", "TopHom.rec", "HAdd.hAdd", "Nat", "TopHom", "SizeOf.sizeOf", "instAddNat", "SizeOf", "Top.top", "OfNat.ofNat", "Eq", "Top" ]
false
_private.Mathlib.Data.List.Nodup.0.List.Nodup.erase_getElem._proof_1_3
Mathlib.Data.List.Nodup
[ "Lean.RArray.leaf", "Lean.Grind.Nat.lt_eq", "Lean.RArray.branch", "Nat.Linear.ExprCnstr.eq_of_toNormPoly_eq", "id", "instOfNatNat", "LE.le", "instLENat", "Nat.Linear.Expr.num", "List.cons", "Bool.true", "List", "instHAdd", "HAdd.hAdd", "Nat", "LT.lt", "Eq.substr", "Bool", "instAd...
false
Lean.Elab.Tactic.Omega.Justification.tidy?
Lean.Elab.Tactic.Omega.Core
[ "Lean.Omega.tidyCoeffs", "_private.Lean.Elab.Tactic.Omega.Core.0.Lean.Elab.Tactic.Omega.Justification.tidy?.match_1", "Option.some", "Lean.Elab.Tactic.Omega.Justification", "Prod.mk", "Lean.Elab.Tactic.Omega.Justification.tidy", "Lean.Omega.tidyConstraint", "Lean.Omega.tidy?", "Option.none", "Unit...
true
Lean.Meta.Tactic.TryThis.TryThisInfo.mk.inj
Lean.Meta.TryThis
[ "String", "Lean.Meta.Tactic.TryThis.TryThisInfo.mk", "Lean.Lsp.TextEdit", "And", "And.intro", "Lean.Meta.Tactic.TryThis.TryThisInfo", "Lean.Meta.Tactic.TryThis.Suggestion", "Eq", "Lean.Meta.Tactic.TryThis.TryThisInfo.mk.noConfusion" ]
true
Function.support_subset_iff
Mathlib.Algebra.Notation.Support
[ "Iff.rfl", "Membership.mem", "HasSubset.Subset", "Ne", "Iff", "Function.support", "Zero.toOfNat0", "OfNat.ofNat", "Set.instMembership", "Set.instHasSubset", "Zero", "Set" ]
true
Subgroup.normalClosure_eq_bot_iff._simp_1
Mathlib.Algebra.Group.Subgroup.Basic
[ "InvOneClass.toOne", "DivInvOneMonoid.toInvOneClass", "Subgroup.normalClosure", "Group", "Group.toDivisionMonoid", "DivisionMonoid.toDivInvOneMonoid", "Set.instSingletonSet", "Subgroup", "HasSubset.Subset", "Bot.bot", "Subgroup.normalClosure_eq_bot_iff", "propext", "One.toOfNat1", "Subgrou...
false
_private.Lean.Util.Recognizers.0.Lean.Expr.name?.match_1
Lean.Util.Recognizers
[ "Lean.Literal.strVal", "_private.Lean.Util.Recognizers.0.Lean.Expr.name?._sparseCasesOn_6", "String", "Lean.Expr.const", "Lean.Expr", "Nat.hasNotBit", "Lean.Level", "Lean.Literal", "_private.Lean.Util.Recognizers.0.Lean.Expr.name?._sparseCasesOn_5", "Lean.Name.ctorIdx", "dite", "Lean.Name.str"...
false
CategoryTheory.PresheafOfGroups.OneCochain.instGroup._proof_10
Mathlib.CategoryTheory.Sites.NonabelianCohomology.H1
[ "CategoryTheory.Functor", "GrpCat", "inv_mul_cancel", "Opposite", "HMul.hMul", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "GrpCat.str", "CategoryTheory.PresheafOfGroups.OneCochain", "CategoryTheory.PresheafOfGroups.OneCochain.ev", "funext", "Inv.inv", "CategoryTheory.PresheafOfG...
false
List.kextract_eq_dlookup_kerase
Mathlib.Data.List.Sigma
[ "List.brecOn", "Prod.mk", "List.kerase", "List", "List.kextract_eq_dlookup_kerase._f", "Prod", "Eq", "List.dlookup", "Sigma", "Option", "List.kextract", "DecidableEq" ]
true
Vector.eraseIdx_set_eq
Init.Data.Vector.Erase
[ "Array.eraseIdx_set_eq", "Vector", "congrArg", "Array.set", "Vector.eraseIdx", "Vector.set_mk._proof_2", "HSub.hSub", "Vector.casesOn", "instSubNat", "instOfNatNat", "Vector.getElem_mk._proof_2", "Array", "instHSub", "Vector.mk", "Vector.set_mk._proof_3", "Nat", "LT.lt", "True", ...
true
Finset.untrop_sum
Mathlib.Algebra.Tropical.BigOperators
[ "WithTop.instInfSet", "Eq.mpr", "Lattice.toSemilatticeSup", "iInf", "Tropical.untrop_inj_iff._simp_1", "Tropical.instAddCommMonoidTropical", "_private.Mathlib.Algebra.Tropical.BigOperators.0.Finset.untrop_sum._simp_1_1", "congrArg", "Finset", "PartialOrder.toPreorder", "Preorder.toLE", "Member...
true
SimpleGraph.TripartiteFromTriangles.Graph.in₁₂_iff
Mathlib.Combinatorics.SimpleGraph.Triangle.Tripartite
[ "SimpleGraph.TripartiteFromTriangles.Rel.in₀₁", "Sum.ctorIdx", "SimpleGraph.TripartiteFromTriangles.Rel.in₂₁", "HEq.refl", "Finset", "SimpleGraph.Adj", "False.elim", "Sum.inr.noConfusion", "Sum3.in₂", "noConfusion_of_Nat", "Membership.mem", "Exists", "Sum.inl.noConfusion", "Sum", "Simple...
true
MeasureTheory.SimpleFunc.measurable
Mathlib.MeasureTheory.Function.SimpleFunc
[ "MeasurableSet", "Measurable", "MeasureTheory.SimpleFunc", "MeasureTheory.SimpleFunc.instFunLike", "MeasurableSpace", "MeasureTheory.SimpleFunc.measurableSet_preimage", "DFunLike.coe", "Set" ]
true
ProbabilityTheory.memLp_id_gaussianReal'
Mathlib.Probability.Distributions.Gaussian.Real
[ "ENNReal.canLift", "NormedCommRing.toSeminormedCommRing", "Real", "ENNReal.ofNNReal", "PseudoMetricSpace.toUniformSpace", "ProbabilityTheory.gaussianReal", "Exists", "SeminormedAddGroup.toContinuousENorm", "id", "NNReal", "Ne", "MeasureTheory.MemLp", "SeminormedAddCommGroup.toSeminormedAddGr...
true
IsBoundedBilinearMap.smul_right
Mathlib.Analysis.Normed.Operator.BoundedLinearMaps
[ "instHSMul", "SeminormedAddCommGroup", "DistribMulAction.toDistribSMul", "AddCommGroup.toAddCommMonoid", "AddMonoid.toAddZeroClass", "AddCommGroup.toAddGroup", "AddZeroClass.toAddZero", "DistribSMul.toSMulZeroClass", "Prod.mk", "AddZero.toZero", "AddGroup.toSubNegMonoid", "SeminormedAddCommGro...
true
Lean.Elab.Term.Do.Code.brecOn_4.eq
Lean.Elab.Do.Legacy
[ "Lean.Elab.Term.Do.Code.below_2", "Lean.Elab.Term.Do.Code.below", "Lean.Elab.Term.Do.Code.below_6", "Lean.Elab.Term.Do.Code.brecOn_4.go", "Lean.Elab.Term.Do.Code.below_1", "Lean.Elab.Term.Do.Code.brecOn_4", "Lean.Elab.Term.Do.Code.below_3", "Lean.Elab.Term.Do.Code.below_4", "List.cons", "Array", ...
true
Algebra.Extension.Hom.noConfusionType
Mathlib.RingTheory.Extension.Basic
[ "CommRing", "Algebra.Extension.commRing", "NonUnitalCommRing.toNonUnitalNonAssocCommRing", "CommRing.toNonUnitalCommRing", "Algebra.algebraMap", "CommSemiring.toSemiring", "Algebra", "RingHom", "Algebra.toModule", "Algebra.id", "NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring", "Algebra.Exte...
false