name
stringlengths
2
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module
stringlengths
6
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deps
listlengths
0
692
allowCompletion
bool
2 classes
Lean.Meta.Grind.Params.mk.noConfusion
Lean.Meta.Tactic.Grind.Main
[ "Lean.Meta.Grind.Params", "Lean.Grind.Config", "Lean.Meta.Grind.InjectiveTheorem", "Lean.PArray", "Lean.Meta.Grind.EMatchTheorem", "Lean.Meta.Grind.SymbolPriorities", "Lean.Meta.Grind.ExtensionStateArray", "Lean.Expr", "id", "Array", "Lean.Meta.Simp.Simprocs", "Lean.Meta.Grind.AnchorRef", "L...
false
Ideal.IsMinimalPrime.le
Mathlib.RingTheory.Ideal.MinimalPrime.Basic
[ "Semiring.toModule", "CommSemiring.toSemiring", "PartialOrder.toPreorder", "Preorder.toLE", "Submodule.instPartialOrder", "LE.le", "Ideal", "CommSemiring", "NonUnitalNonAssocSemiring.toAddCommMonoid", "And", "And.right", "And.left", "NonAssocSemiring.toNonUnitalNonAssocSemiring", "Ideal.Is...
true
Finset.mulEnergy_univ_right
Mathlib.Combinatorics.Additive.Energy
[ "Eq.mpr", "HMul.hMul", "Finset.univ", "Finset.mulEnergy_univ_left", "Monoid.toMulOneClass", "congrArg", "Finset", "Nat.instMonoid", "Finset.mulEnergy", "Fintype.card", "id", "MulOne.toMul", "DivInvMonoid.toMonoid", "instMulNat", "instOfNatNat", "CommGroup", "Monoid.toPow", "Group.t...
true
Lean.MVarId.liftLetsLocalDecl
Lean.Meta.Tactic.Lets
[ "Pure.pure", "Lean.MessageData", "Lean.MVarId.replaceTargetDefEq", "Unit.unit", "Lean.MVarId.withContext", "Std.instToFormatString", "Lean.MVarId.withReverted", "Lean.MVarId.checkNotAssigned", "Lean.Meta.liftLets", "instMonadControlTOfPure", "Lean.Expr.instBEq", "String", "Lean.Meta.State", ...
true
_private.Mathlib.Data.Nat.ModEq.0.Nat.ModEq.mul_left_cancel'._simp_1_1
Mathlib.Data.Nat.ModEq
[ "Dvd.dvd", "HSub.hSub", "Nat.modEq_iff_dvd", "Int", "Nat.cast", "Int.instDvd", "Nat.ModEq", "instHSub", "Nat", "propext", "Int.instSub", "instNatCastInt", "Eq" ]
false
Quaternion.instNormOneClassReal
Mathlib.Analysis.Quaternion
[ "NormOneClass", "Norm.norm", "Eq.mpr", "NegZeroClass.toNeg", "MulOne.toOne", "Real", "NormOneClass.mk", "Inner.inner", "Real.instZero", "Real.instRCLike", "congrArg", "CommSemiring.toSemiring", "MonoidWithZeroHom.map_one", "AddGroupWithOne.toAddMonoidWithOne", "Quaternion.normSq", "Mon...
true
Ordnode.removeNth._unsafe_rec
Mathlib.Data.Ordmap.Ordnode
[ "Ordnode", "Ordnode.removeNth._unsafe_rec", "Ordnode.glue", "Ordnode.size", "Ordnode.nth.match_3", "Unit", "Ordnode.balanceL", "Nat", "Ordnode.nth.match_1", "Ordnode.nil", "Nat.psub'", "Ordnode.balanceR", "Option" ]
false
Std.DTreeMap.Internal.Impl.Const.getEntryGTD
Std.Data.DTreeMap.Internal.Queries
[ "Ord", "Option.getD", "Std.DTreeMap.Internal.Impl.Const.getEntryGT?", "Prod", "Std.DTreeMap.Internal.Impl" ]
true
Submodule.isIdempotentElemEquiv._proof_3
Mathlib.LinearAlgebra.Projection
[ "Eq.mpr", "Submodule", "RingHomSurjective.ids", "congrArg", "AddCommGroup.toAddCommMonoid", "LinearMap.instFunLike", "Module.End.instMul", "Membership.mem", "LinearMap.range", "AddCommGroup", "id", "Subtype", "LinearMap.mem_range_self", "LinearMap", "And", "IsIdempotentElem", "And.ri...
false
instConcreteCategoryProfiniteGrpContinuousMonoidHomCarrierToTopTotallyDisconnectedSpaceToProfinite._proof_1
Mathlib.Topology.Algebra.Category.ProfiniteGrp.Basic
[ "ProfiniteGrp.group", "ProfiniteGrp", "id", "DivInvMonoid.toMonoid", "TotallyDisconnectedSpace", "Group.toDivInvMonoid", "TopCat.str", "TopCat.carrier", "ProfiniteGrp.toProfinite", "_private.Mathlib.Topology.Algebra.Category.ProfiniteGrp.Basic.0.ProfiniteGrp.Hom.mk", "Eq.refl", "ContinuousMono...
false
SimpleGraph.incidence_other_prop
Mathlib.Combinatorics.SimpleGraph.Basic
[ "SimpleGraph.incidenceSet", "Sym2.mk", "congrArg", "SimpleGraph.Adj", "Membership.mem", "SimpleGraph.neighborSet", "Eq.mp", "SimpleGraph.edgeSet", "And.casesOn", "SimpleGraph", "Sym2.Mem.other'", "Sym2.instSetLike", "propext", "Sym2.other_spec'", "Eq.symm", "Set.instMembership", "Sim...
true
_private.Mathlib.Data.List.Sort.0.List.sortedGT_iff_pairwise._proof_1_4
Mathlib.Data.List.Sort
[ "Lean.Grind.Nat.lt_eq", "instOfNatNat", "LE.le", "instLENat", "List", "instHAdd", "HAdd.hAdd", "Nat", "LT.lt", "Eq.substr", "instAddNat", "instLTNat", "OfNat.ofNat", "List.length" ]
false
AlgebraicGeometry.WeaklyEtale.instMorphismRestrict
Mathlib.AlgebraicGeometry.Morphisms.WeaklyEtale
[ "AlgebraicGeometry.Scheme", "AlgebraicGeometry.PresheafedSpace.carrier", "AlgebraicGeometry.IsZariskiLocalAtTarget.restrict", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "TopologicalSpace.Opens.instPartialOrder", "CommRingCat", "PartialOrder.toPreorder", "TopologicalSpace.Opens", "Comm...
true
MvPolynomial.funext_set_iff
Mathlib.Algebra.MvPolynomial.Funext
[ "Finsupp.instAddZeroClass", "IsDomain", "Nat.instMulZeroClass", "CommRing", "CommSemiring.toSemiring", "Set.univ", "AddMonoid.toAddZeroClass", "Nat.instAddMonoid", "RingHom", "Membership.mem", "MvPolynomial.eval", "CommRing.toCommSemiring", "Iff", "RingHom.instFunLike", "Nat", "MvPolyn...
true
SimpleGraph.chromaticNumber_le_iff_colorable
Mathlib.Combinatorics.SimpleGraph.Coloring.VertexColoring
[ "Trans.trans", "Preorder.toLT", "instCompleteLinearOrderENat", "instCharZeroENat", "WithTop.coe_lt_top", "instAddMonoidWithOneENat", "ChainCompletePartialOrder.instOfCompleteLattice", "ENat.instNatCast", "instTopENat", "congrArg", "CommSemiring.toSemiring", "SimpleGraph.Colorable.mono", "Sim...
true
Submonoid.unop.eq_1
Mathlib.Algebra.Group.Submonoid.MulOpposite
[ "Subsemigroup.mk", "MulOpposite", "MulOne.toMul", "Submonoid.unop._proof_2", "MulOneClass.toMulOne", "SetLike.coe", "Set.preimage", "Eq.refl", "MulOpposite.instMulOneClass", "Submonoid.mk", "Submonoid.instSetLike", "MulOneClass", "Eq", "Submonoid.unop", "Submonoid", "Submonoid.unop._pr...
true
TwoSidedIdeal.mk.injEq
Mathlib.RingTheory.TwoSidedIdeal.Basic
[ "NonUnitalNonAssocRing", "TwoSidedIdeal.mk.inj", "Eq.propIntro", "TwoSidedIdeal", "RingCon", "Distrib.toAdd", "NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring", "Distrib.toMul", "Eq.ndrec", "NonUnitalNonAssocSemiring.toDistrib", "Eq.refl", "Eq", "TwoSidedIdeal.mk" ]
true
Std.DTreeMap.Equiv.of_forall_getKey?_unit_eq
Std.Data.DTreeMap.Lemmas
[ "Std.DTreeMap", "Ord.mk", "Ordering", "Std.DTreeMap.inner", "Std.DTreeMap.Internal.Impl.Equiv.of_forall_getKey?_unit_eq", "Std.TransCmp", "Std.DTreeMap.getKey?", "Unit", "Std.DTreeMap.wf", "Std.DTreeMap.Equiv", "Eq", "Std.DTreeMap.Equiv.mk", "Option" ]
true
Lean.Elab.Tactic.evalRevert._regBuiltin.Lean.Elab.Tactic.evalRevert_1
Lean.Elab.Tactic.BuiltinTactic
[ "Lean.Elab.Tactic.tacticElabAttribute", "Lean.Elab.Tactic.evalRevert", "IO", "Unit", "Lean.Elab.Tactic.Tactic", "Lean.Name.mkStr4", "Lean.KeyedDeclsAttribute.addBuiltin" ]
false
MeromorphicAt.eventuallyEq_zero_nhdsNE_of_eventuallyEq_zero_codiscreteWithin
Mathlib.Analysis.Meromorphic.IsolatedZeros
[ "Filter.instMembership", "Iff.mpr", "Eq.mpr", "NormedCommRing.toSeminormedCommRing", "mem_codiscreteWithin_iff_forall_mem_nhdsNE", "False", "NormedSpace", "congrArg", "Compl.compl", "nhdsWithin", "Filter.Eventually", "setOf", "PseudoMetricSpace.toUniformSpace", "Membership.mem", "Set.ins...
true
Lean.Elab.Term.BodyInfo.rec
Lean.Elab.Term.TermElabM
[ "Lean.Elab.Term.BodyInfo.mk", "Lean.Expr", "Lean.Elab.Term.BodyInfo", "Option" ]
false
_private.Mathlib.CategoryTheory.Dialectica.Monoidal.0.CategoryTheory.Dial._aux_Mathlib_CategoryTheory_Dialectica_Monoidal___macroRules__private_Mathlib_CategoryTheory_Dialectica_Monoidal_0_CategoryTheory_Dial_termπ₁_1
Mathlib.CategoryTheory.Dialectica.Monoidal
[ "Pure.pure", "Lean.MonadRef.mkInfoFromRefPos", "Lean.Name.mkNum", "Lean.Syntax.ident", "instMonadExceptOfMonadExceptOf", "String", "Lean.SourceInfo", "MonadExcept.throw", "Lean.Syntax.isOfKind", "EStateM.instMonad", "Lean.Macro.Exception", "Lean.TSyntax.mk", "Lean.Syntax", "Lean.Name.mkStr...
false
_private.Std.Internal.Async.Basic.0.Std.Internal.IO.Async.MaybeTask.toTask.match_1
Std.Internal.Async.Basic
[ "Std.Internal.IO.Async.MaybeTask.ofTask", "Task", "Std.Internal.IO.Async.MaybeTask", "Std.Internal.IO.Async.MaybeTask.pure", "Std.Internal.IO.Async.MaybeTask.casesOn" ]
false
CategoryTheory.ShortComplex.opcyclesMap_zero
Mathlib.Algebra.Homology.ShortComplex.RightHomology
[ "CategoryTheory.ShortComplex.opcycles", "CategoryTheory.Limits.HasZeroMorphisms", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "CategoryTheory.ShortComplex", "CategoryTheory.ShortComplex.instCategory", "CategoryTheory.ShortComplex.rightHomologyData", "CategoryTheory.ShortComplex.opcyclesMap...
true
CompleteLatticeHom.cancel_right
Mathlib.Order.Hom.CompleteLattice
[ "Iff.mpr", "Function.Surjective.forall", "DFunLike.ext_iff", "congr_arg", "CompleteLatticeHom.instFunLike", "Iff", "Iff.intro", "Iff.mp", "CompleteLatticeHom.comp", "CompleteLatticeHom", "CompleteLatticeHom.ext", "CompleteLattice", "Eq", "DFunLike.coe", "Function.Surjective" ]
true
add_left_inj._simp_1
Mathlib.Algebra.Group.Defs
[ "IsRightCancelAdd", "add_left_inj", "instHAdd", "HAdd.hAdd", "propext", "Eq", "Add" ]
false
Lean.Compiler.LCNF.StructProjCases.mkFieldParamsForCtorType
Lean.Compiler.LCNF.StructProjCases
[ "Pure.pure", "Lean.instBEqFVarId", "Lean.MessageData", "Inhabited.default", "Array.mkEmpty", "Lean.LocalContext.mk", "Lean.Meta.State.mk", "Lean.Meta.instBEqInfoCacheKey", "Std.Rio.instForIn'InferInstanceMembershipOfLawfulUpwardEnumerableOfLawfulUpwardEnumerableLTOfLawfulUpwardEnumerableLeast?OfMona...
true
Matroid.closure_sInter_eq_biInter_closure_of_sUnion_indep
Mathlib.Combinatorics.Matroid.Closure
[ "Set.iInter", "Set.sUnion", "Membership.mem", "Matroid.Indep", "Set.Nonempty", "Matroid.closure", "Set.subset_sUnion_of_mem", "Eq", "Set.sInter", "Set.instMembership", "Matroid", "Matroid.Indep.closure_sInter_eq_biInter_closure_of_forall_subset", "Set" ]
true
RingHom.prod._proof_5
Mathlib.Algebra.Ring.Prod
[ "NonAssocSemiring.toAddCommMonoidWithOne", "AddMonoidHomClass.toAddMonoidHom", "ZeroHom.toFun", "Prod.instAddZeroClass", "AddMonoid.toAddZeroClass", "ZeroHom.map_zero'", "RingHom", "AddMonoidHom.toZeroHom", "AddZeroClass.toAddZero", "AddCommMonoidWithOne.toAddMonoidWithOne", "AddZero.toZero", ...
false
GenContFract.convs'.eq_1
Mathlib.Algebra.ContinuedFractions.Translations
[ "GenContFract.s", "GenContFract.convs'Aux", "GenContFract.convs'", "DivisionRing.toDivisionSemiring", "Distrib.toAdd", "GenContFract", "instDistribOfSemiring", "instHAdd", "HAdd.hAdd", "Nat", "DivisionSemiring.toSemiring", "Eq.refl", "DivisionRing", "GenContFract.h", "Eq" ]
true
cantorSequence.eq_1
Mathlib.Topology.Instances.CantorSet
[ "Real", "Stream'", "Stream'.iterate", "cantorStep", "Eq.refl", "cantorSequence", "Eq" ]
true
IsLowerSet
Mathlib.Order.Defs.Unbundled
[ "Membership.mem", "LE.le", "LE", "Set.instMembership", "Set" ]
true
_private.Mathlib.CategoryTheory.WithTerminal.Cone.0.CategoryTheory.WithTerminal.coneLift._proof_2
Mathlib.CategoryTheory.WithTerminal.Cone
[ "_private.Mathlib.CategoryTheory.WithTerminal.Cone.0.CategoryTheory.WithTerminal.coneLift._proof_1", "CategoryTheory.Limits.Cone.π", "CategoryTheory.Over", "CategoryTheory.Functor", "CategoryTheory.Limits.Cone", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "congrArg", "CategoryTheory.Limi...
false
CategoryTheory.Functor.IsEquivalence.recOn
Mathlib.CategoryTheory.Equivalence
[ "CategoryTheory.Functor", "CategoryTheory.Functor.IsEquivalence.mk", "CategoryTheory.Functor.EssSurj", "CategoryTheory.Functor.IsEquivalence", "CategoryTheory.Functor.IsEquivalence.rec", "CategoryTheory.Functor.Faithful", "CategoryTheory.Category", "CategoryTheory.Functor.Full" ]
false
Lean.Grind.instCommRingUInt16._proof_2
Init.GrindInstances.Ring.UInt
[ "instHSMul", "HMul.hMul", "instMulUInt16", "SMul.mk", "Nat.cast", "UInt16", "Nat", "Eq.refl", "HSMul.hSMul", "UInt16.natCast", "Eq", "instHMul" ]
false
_private.Mathlib.Algebra.Order.Ring.Canonical.0.CanonicallyOrderedAdd.mul_pos._simp_1_2
Mathlib.Algebra.Order.Ring.Canonical
[ "HMul.hMul", "MulZeroClass.toMul", "MulZeroClass", "mul_eq_zero", "NoZeroDivisors", "propext", "Zero.toOfNat0", "Or", "OfNat.ofNat", "Eq", "MulZeroClass.toZero", "instHMul" ]
false
Aesop.PhaseName._sizeOf_inst
Aesop.Rule.Name
[ "Aesop.PhaseName", "Aesop.PhaseName._sizeOf_1", "SizeOf.mk", "SizeOf" ]
false
_private.Mathlib.Algebra.MvPolynomial.Monad.0.MvPolynomial.bind₁_bind₁._simp_1_2
Mathlib.Algebra.MvPolynomial.Monad
[ "Nat.instMulZeroClass", "AddMonoidAlgebra.semiring", "MvPolynomial.aeval", "CommSemiring.toSemiring", "AlgHom", "AlgHom.funLike", "AddMonoidAlgebra.algebra", "Finsupp.instAddMonoid", "Algebra", "Nat.instAddMonoid", "Algebra.id", "CommSemiring", "MvPolynomial.comp_aeval", "Nat", "MvPolyno...
false
Mathlib.Tactic.Ring.Common.evalDiv
Mathlib.Tactic.Ring.Common
[ "Qq.QuotedDefEq", "Pure.pure", "Mathlib.Tactic.Ring.Common.Result.mk", "_private.Mathlib.Tactic.Ring.Common.0.Mathlib.Tactic.Ring.Common.evalDiv.match_1", "ReaderT", "Lean.Meta.State", "Lean.Expr.const", "Lean.Name.mkStr5", "instMonadLiftT", "Mathlib.Tactic.Ring.Common.Result", "Mathlib.Tactic.R...
true
hasFTaylorSeriesUpToOn_top_iff_add
Mathlib.Analysis.Calculus.ContDiff.FTaylorSeries
[ "Eq.mpr", "NormedCommRing.toSeminormedCommRing", "WithTop.charZero", "WithTop.instPartialOrder", "Preorder.toLT", "instCompleteLinearOrderENat", "ENat.natCast_le_of_coe_top_le_withTop", "instCharZeroENat", "NormedSpace.toIsBoundedSMul", "instAddMonoidWithOneENat", "UniformContinuousConstSMul.to_...
true
Aesop.MVarClusterUnsafe.recOn
Aesop.Tree.Data
[ "Aesop.GoalData", "Aesop.MVarClusterUnsafe.rec", "Lean.Meta.SavedState", "Lean.instBEqMVarId", "Aesop.ForwardState", "Aesop.RappUnsafe", "Aesop.GoalId", "Option.some", "Lean.MVarId", "Aesop.NormalizationState", "Aesop.MVarClusterData.mk", "Aesop.RappData.mk", "Aesop.UnsafeQueue", "List.con...
false
_private.Mathlib.Topology.Inseparable.0.stableUnderGeneralization_iff_exists_sInter_eq.match_1_3
Mathlib.Topology.Inseparable
[ "Compl.compl", "Membership.mem", "Set.instCompl", "And.casesOn", "And", "Exists.casesOn", "And.intro", "Exists.intro", "Set.image", "Eq", "Set.instMembership", "Set" ]
false
_private.Mathlib.Analysis.Polynomial.Basic.0.Polynomial.tendsto_atBot_iff_leadingCoeff_nonpos._simp_1_3
Mathlib.Analysis.Polynomial.Basic
[ "WithBot.instPreorder", "Polynomial.eval", "NormedCommRing.toSeminormedCommRing", "Nat.instMulZeroClass", "OrderTopology", "WithBot", "Preorder.toLT", "Polynomial.tendsto_atTop_iff_leadingCoeff_nonneg", "LinearOrder", "PartialOrder.toPreorder", "WithBot.zero", "PseudoMetricSpace.toUniformSpace...
false
ULift.instCompleteLattice._proof_3
Mathlib.Order.CompleteLattice.Lemmas
[ "Iff.rfl", "PartialOrder.toPreorder", "ULift", "Preorder.toLE", "LE.le", "CompleteLattice.toCompleteSemilatticeInf", "CompleteSemilatticeInf.toPartialOrder", "Iff", "CompleteLattice", "ULift.down" ]
false
Lean.Widget.WidgetInstance.ctorIdx
Lean.Widget.Types
[ "Lean.Widget.WidgetInstance", "Nat" ]
false
CategoryTheory.Limits.Multicofork.IsColimit.fac_assoc
Mathlib.CategoryTheory.Limits.Shapes.Multiequalizer
[ "CategoryTheory.Limits.Multicofork", "CategoryTheory.Limits.MultispanIndex.snd", "CategoryTheory.Category.assoc", "CategoryTheory.Limits.WalkingMultispan", "CategoryTheory.Limits.MultispanShape.L", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "congrArg", "CategoryTheory.Limits.MultispanSh...
true
CategoryTheory.Limits.PreservesPushout.inr_iso_inv_assoc
Mathlib.CategoryTheory.Limits.Preserves.Shapes.Pullbacks
[ "CategoryTheory.Category.assoc", "CategoryTheory.Functor", "CategoryTheory.Limits.WalkingSpan", "CategoryTheory.Limits.PreservesPushout.inr_iso_inv", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "congrArg", "CategoryTheory.Limits.PreservesPushout.iso", "Eq.mp", "id", "Mathlib.Tactic.R...
true
Matrix.conjTransposeLinearEquiv
Mathlib.LinearAlgebra.Matrix.ConjTranspose
[ "Matrix.add", "AddMonoid.toAddSemigroup", "LinearEquiv.mk", "Matrix.module", "CommSemiring.toSemiring", "DistribMulAction.toDistribSMul", "Matrix", "AddMonoid.toAddZeroClass", "AddZeroClass.toAddZero", "DistribSMul.toSMulZeroClass", "Matrix.addCommMonoid", "Equiv.toFun", "RingHomInvPair.inst...
true
CategoryTheory.Dial.tensorObj_tgt
Mathlib.CategoryTheory.Dialectica.Monoidal
[ "CategoryTheory.Dial.tensorObjImpl._proof_2", "CategoryTheory.Limits.HasPullbacks", "CategoryTheory.Dial.instCategory", "CategoryTheory.MonoidalCategoryStruct.tensorObj", "CategoryTheory.Dial", "CategoryTheory.Dial.instMonoidalCategoryStruct", "Eq.refl", "CategoryTheory.Limits.HasFiniteProducts", "E...
true
hasFDerivAtFilter_pi'
Mathlib.Analysis.Calculus.FDeriv.Prod
[ "ContinuousLinearMap.comp", "NormedCommRing.toSeminormedCommRing", "Pi.addCommMonoid", "NormedSpace.toIsBoundedSMul", "map_sub", "SemilinearMapClass.distribMulActionSemiHomClass", "NormedSpace", "Pi.topologicalSpace", "congrArg", "DistribMulAction.toDistribSMul", "AddCommGroup.toAddCommMonoid", ...
true
_private.Mathlib.GroupTheory.Perm.Cycle.Type.0.Equiv.Perm.IsThreeCycle.nodup_iff_mem_support._proof_1_481
Mathlib.GroupTheory.Perm.Cycle.Type
[ "Equiv.instEquivLike", "Lean.Grind.nestedProof", "Lean.Grind.Nat.lt_eq", "Equiv", "instOfNatNat", "LE.le", "instLENat", "instBEqOfDecidableEq", "_private.Mathlib.GroupTheory.Perm.Cycle.Type.0.Equiv.Perm.IsThreeCycle.nodup_iff_mem_support._proof_1_282", "List.cons", "List.idxOfNth", "GetElem.ge...
false
MeasureTheory.instSFiniteOfNatMeasure
Mathlib.MeasureTheory.Measure.Typeclasses.SFinite
[ "Eq.mpr", "MeasureTheory.isFiniteMeasureZero", "MeasureTheory.Measure", "congrArg", "inferInstance", "id", "MeasureTheory.Measure.instZero", "MeasurableSpace", "And", "MeasureTheory.SFinite", "Nat", "MeasureTheory.IsFiniteMeasure", "And.intro", "MeasureTheory.SFinite.mk", "Exists.intro",...
true
Polynomial.natDegree_eq_card_roots'
Mathlib.Algebra.Polynomial.Splits
[ "IsDomain", "CommRing", "Polynomial.roots", "CommSemiring.toSemiring", "Polynomial", "Polynomial.Splits.natDegree_eq_card_roots", "CommRing.toCommSemiring", "Nat", "Multiset.card", "Polynomial.Splits", "Polynomial.natDegree", "Eq" ]
true
LowerSemicontinuousOn.exists_isMinOn
Mathlib.Topology.Semicontinuity.Basic
[ "Pure.pure", "Filter.instMembership", "Iff.mpr", "Eq.mpr", "Filter.Eventually.filter_mono", "le_refl", "False", "Set.inter_subset_inter_right", "LowerSemicontinuousOn", "Preorder.toLT", "iInf", "Exists.nonempty", "Filter.le_principal_iff", "Filter.principal_mono", "Filter.pure_neBot", ...
true
VAdd.ofStabilizer._proof_1
Mathlib.GroupTheory.GroupAction.SubMulAction.OfStabilizer
[ "Eq.mpr", "Set.vadd_mem_vadd_set", "AddMonoid.toAddSemigroup", "outParam", "HEq.refl", "AddAction.mem_stabilizer_iff", "Set.addActionSet", "AddSubgroup.toAddGroup", "Membership.mem", "Set.vaddSet", "Set.Elem", "Eq.casesOn", "Subtype", "Membership", "HVAdd.hVAdd", "AddSubgroup", "AddA...
false
_private.Lean.Environment.0.Lean.AsyncContext.descr
Lean.Environment
[ "String", "_private.Lean.Environment.0.Lean.AsyncContext.realizingStack", "_private.Lean.Environment.0.Lean.AsyncContext", "_private.Lean.Environment.0.Lean.AsyncContext.descr.match_1", "ToString.toString", "instAppendString", "instHAppendOfAppend", "List", "Lean.Name.instToString", "_private.Lean...
true
_private.Mathlib.Analysis.Convex.Segment.0.insert_endpoints_openSegment._simp_1_5
Mathlib.Analysis.Convex.Segment
[ "SMul", "PartialOrder", "HasSubset.Subset", "openSegment_subset_segment", "segment", "AddCommMonoid", "True", "eq_true", "Semiring", "openSegment", "Eq", "Set.instHasSubset", "Set" ]
false
Alexandrov.principals._proof_3
Mathlib.Topology.Sheaves.Alexandrov
[ "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "TopologicalSpace.Opens.instPartialOrder", "Quiver.Hom.le", "Topology.IsUpperSet", "PartialOrder.toPreorder", "TopologicalSpace.Opens", "Preorder.toLE", "Preorder.smallCategory", "LE.le", "TopologicalSpace", "Alexandrov.principalOpen_le",...
false
_private.Init.Data.String.Lemmas.Pattern.Char.0.String.Slice.Pattern.Model.Char.isRevMatch_iff._simp_1_2
Init.Data.String.Lemmas.Pattern.Char
[ "String", "String.Slice.sliceFrom", "String.Slice", "Exists", "String.Slice.copy", "propext", "String.Slice.copy_sliceFrom_eq_iff_exists_splits", "String.Slice.Pos", "Eq", "String.Slice.Pos.Splits" ]
false
DoResultPR.return.sizeOf_spec
Init.Core
[ "DoResultPR._sizeOf_inst", "DoResultPR", "instOfNatNat", "instHAdd", "DoResultPR.return", "HAdd.hAdd", "Nat", "SizeOf.sizeOf", "instAddNat", "Eq.refl", "SizeOf", "OfNat.ofNat", "Eq" ]
true
cardinal_lt_aleph0_of_finiteDimensional
Mathlib.LinearAlgebra.Dimension.FreeAndStrongRankCondition
[ "Iff.mpr", "Eq.mpr", "Preorder.toLT", "Cardinal.instPowCardinal", "Cardinal", "congrArg", "AddCommGroup.toAddCommMonoid", "Finite", "PartialOrder.toPreorder", "Cardinal.lift", "Cardinal.mk", "AddCommGroup", "lift_cardinalMk_eq_lift_cardinalMk_field_pow_lift_rank", "id", "Cardinal.aleph0"...
true
AlgebraicGeometry.Scheme.PartialMap.le_domain_toRationalMap
Mathlib.AlgebraicGeometry.Birational.RationalMap
[ "AlgebraicGeometry.SheafedSpace.instTopologicalSpaceCarrierCarrier", "AlgebraicGeometry.Scheme", "AlgebraicGeometry.Scheme.PartialMap.toRationalMap", "AlgebraicGeometry.PresheafedSpace.carrier", "TopologicalSpace.Opens.instCompleteLattice", "TopologicalSpace.Opens.instPartialOrder", "CommRingCat", "Pa...
true
_private.Mathlib.LinearAlgebra.AffineSpace.Simplex.Basic.0.Affine.Simplex.affineCombination_mem_closedInterior_face_iff_nonneg.match_1_1
Mathlib.LinearAlgebra.AffineSpace.Simplex.Basic
[ "Finset", "PartialOrder.toPreorder", "Preorder.toLE", "Membership.mem", "PartialOrder", "instOfNatNat", "LE.le", "And.casesOn", "instHAdd", "And", "Finset.instSetLike", "HAdd.hAdd", "Nat", "And.intro", "instAddNat", "Zero.toOfNat0", "OfNat.ofNat", "Fin", "Ring.toSemiring", "Eq"...
false
Std.DTreeMap.Internal.Impl.Const.alter._unsafe_rec
Std.Data.DTreeMap.Internal.Operations
[ "Std.DTreeMap.Internal.Impl.Const.alter.match_3", "Std.DTreeMap.Internal.Impl.Balanced.at_root", "Std.DTreeMap.Internal.Impl.BalancedAtRoot.adjust_right", "Ord", "Std.DTreeMap.Internal.Impl.Const.getThenInsertIfNew?.match_1", "HSub.hSub", "Std.DTreeMap.Internal.Impl.balance", "Std.DTreeMap.Internal.Im...
false
_private.Init.Data.Int.Gcd.0.Int.pow_dvd_pow_iff._simp_1_1
Init.Data.Int.Gcd
[ "Dvd.dvd", "Int", "Int.instDvd", "Int.natAbs_dvd_natAbs", "Nat.instDvd", "Nat", "Int.natAbs", "propext", "Eq.symm", "Eq" ]
false
Right.add_nonneg
Mathlib.Algebra.Order.Monoid.Unbundled.Basic
[ "le_add_of_nonneg_of_le", "Preorder.toLE", "AddRightMono", "AddZeroClass.toAddZero", "LE.le", "AddZero.toZero", "instHAdd", "AddZeroClass", "HAdd.hAdd", "AddZero.toAdd", "Zero.toOfNat0", "OfNat.ofNat", "Preorder" ]
true
Lean.MetavarContext.LevelMVarToParam.Context.mk
Lean.MetavarContext
[ "Lean.MetavarContext.LevelMVarToParam.Context", "Bool", "Lean.Name", "Lean.LMVarId", "Lean.MetavarContext.LevelMVarToParam.Context.mk" ]
true
HasFDerivAt.sinh
Mathlib.Analysis.SpecialFunctions.Trigonometric.DerivHyp
[ "HasFDerivAt", "Real", "Algebra.to_smulCommClass", "instHSMul", "NonUnitalCommRing.toNonUnitalNonAssocCommRing", "Semiring.toModule", "RCLike.toNormedAlgebra", "NormedSpace", "Real.denselyNormedField", "Real.instRCLike", "CommSemiring.toSemiring", "AddCommGroup.toAddCommMonoid", "IsSemitopol...
true
Lean.Grind.AC.Seq.beq'.eq_1
Init.Grind.AC
[ "Bool.and'", "Lean.Grind.AC.Seq.beq'", "Nat.beq", "Lean.Grind.AC.Seq.rec", "Bool", "Eq.refl", "Lean.Grind.AC.Var", "Lean.Grind.AC.Seq", "Bool.false", "Eq" ]
true
AlgebraicTopology.DoldKan.DegeneraciesVanish
Mathlib.AlgebraicTopology.DoldKan.Degeneracies
[ "Opposite", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "instOfNatNat", "CategoryTheory.Limits.HasZeroMorphisms.zero", "CategoryTheory.Preadditive", "instHAdd", "HAdd.hAdd", "SimplexCategory.mk", "Opposite.op", "Nat", "_private.Mathlib.AlgebraicTopology.DoldKan.Degeneracies.0.Algeb...
true
ModelWithCorners.leftInverse
Mathlib.Geometry.Manifold.IsManifold.Basic
[ "Function.LeftInverse", "NormedSpace", "ModelWithCorners.toFun'", "TopologicalSpace", "ModelWithCorners", "ModelWithCorners.symm", "NontriviallyNormedField", "NontriviallyNormedField.toNormedField", "PartialEquiv.toFun", "NormedAddCommGroup.toSeminormedAddCommGroup", "ModelWithCorners.left_inv",...
true
Lean.Grind.Linarith.Poly.append.eq_def
Init.Grind.Ordered.Linarith
[ "Eq.mpr", "_private.Init.Grind.Ordered.Linarith.0.Lean.Grind.Linarith.Poly.denote.match_1.splitter", "Lean.Grind.Linarith.Poly.below", "congrArg", "Lean.Grind.Linarith.Poly.denote.match_1", "Lean.Grind.Linarith.Poly.append", "id", "Int", "Lean.Grind.Linarith.Var", "Lean.Grind.Linarith.Poly.brecOn....
true
toMeromorphicNFAt
Mathlib.Analysis.Meromorphic.NormalForm
[ "NormedCommRing.toNormedRing", "NormedCommRing.toSeminormedCommRing", "instHSMul", "Function.update", "NormedRing.toRing", "NormedSpace", "AddGroupWithOne.toAddGroup", "DistribMulAction.toDistribSMul", "AddCommGroup.toAddCommMonoid", "Compl.compl", "nhdsWithin", "Filter.Eventually", "NormedS...
true
_private.Init.Data.String.Lemmas.Intercalate.0.String.intercalate.match_1.splitter
Init.Data.String.Lemmas.Intercalate
[ "_private.Init.Data.String.Defs.0.String.intercalate.match_1", "String", "List.cons", "List", "Unit", "List.nil" ]
true
fourierCoeffOn_of_hasDerivAt_Ioo
Mathlib.Analysis.Fourier.AddCircle
[ "instInnerProductSpaceRealComplex", "Int.cast", "InnerProductSpace.toNormedSpace", "NormedCommRing.toSeminormedCommRing", "HasDerivAt.hasDerivWithinAt", "Real", "Set.Ioi", "instHDiv", "Real.pi", "NormedSpace.toIsBoundedSMul", "HMul.hMul", "Real.lattice", "Complex.instNormedAddCommGroup", "...
true
MonoidAlgebra.semiring._proof_1
Mathlib.Algebra.MonoidAlgebra.Defs
[ "Monoid", "Mul.mk", "One.mk", "MonoidAlgebra.nonUnitalSemiring", "NonUnitalSemiring.mul_assoc", "Monoid.toMulOneClass", "Semigroup.mk", "NonAssocSemiring.toOne", "NonUnitalNonAssocSemiring.toMul", "npowRecAuto", "NonUnitalSemiring.toNonUnitalNonAssocSemiring", "instOfNatNat", "MonoidAlgebra....
false
_private.Init.Grind.Offset.0.Lean.Grind.Nat.lo_eq_false_of_le._proof_1_1
Init.Grind.Offset
[ "False", "Lean.Omega.Constraint.not_sat'_of_isImpossible", "Int.natCast_add", "of_decide_eq_true", "le_of_le_of_eq", "Lean.Omega.Constraint.mk", "Lean.Omega.Constraint.combine_sat'", "Int.add_one_le_of_lt", "HSub.hSub", "Lean.Omega.Int.add_congr", "Lean.Omega.LinearCombo.eval", "Option.some", ...
false
commandSudoSet_option___
Mathlib.Tactic.SudoSetOption
[ "instOfNatNat", "Lean.ParserDescr.binary", "Lean.ParserDescr", "Lean.ParserDescr.unary", "Lean.ParserDescr.node", "Nat", "Lean.ParserDescr.symbol", "Lean.ParserDescr.const", "Lean.ParserDescr.cat", "OfNat.ofNat", "Lean.Name.mkStr1" ]
true
CliffordAlgebraComplex.equiv
Mathlib.LinearAlgebra.CliffordAlgebra.Equivs
[ "Real", "Semiring.toModule", "CliffordAlgebraComplex.toComplex_comp_ofComplex", "CommSemiring.toSemiring", "CliffordAlgebra", "CliffordAlgebraComplex.Q", "instAlgebraCliffordAlgebra", "Algebra.id", "Real.commRing", "Real.instAddCommGroup", "AlgEquiv", "Complex.instCommSemiring", "instRingCli...
true
Mathlib.Tactic.Ring.CSLift.rec
Mathlib.Tactic.Ring.Basic
[ "Mathlib.Tactic.Ring.CSLift", "Mathlib.Tactic.Ring.CSLift.mk", "Function.Injective" ]
false
_private.Mathlib.Data.Set.Prod.0.Set.subset_fst_image_prod_snd_image.match_1_1
Mathlib.Data.Set.Prod
[ "Membership.mem", "Prod.mk", "Prod", "Prod.casesOn", "Set.instMembership", "Set" ]
false
Aesop.ClusterState.update
Aesop.Forward.State
[ "Pure.pure", "Aesop.BaseM", "Bool.not", "ReaderT.instMonad", "Lean.Meta.MetaM", "IO.RealWorld", "instDecidableEqBool", "Aesop.Match", "instOfNatNat", "Aesop.ClusterState.haveHypForEachSlot", "Applicative.toPure", "Array", "Array.foldlM", "Bool.true", "Aesop.ClusterState.AddM", "Lean.Me...
true
Std.HashSet.Raw.getD_eq_getD_get?
Std.Data.HashSet.RawLemmas
[ "Std.HashSet.Raw.getD", "Std.HashSet.Raw.inner", "Option.getD", "Std.HashSet.Raw.get?", "Std.HashSet.Raw.WF", "LawfulHashable", "Unit", "EquivBEq", "Std.HashSet.Raw.WF.out", "Std.HashMap.Raw.getKeyD_eq_getD_getKey?", "Hashable", "BEq", "Eq", "Std.HashSet.Raw" ]
true
_private.Lean.Meta.Tactic.Grind.Arith.Cutsat.Proof.0.Lean.Meta.Grind.Arith.Cutsat.ProofM.State.ringPolyDecls
Lean.Meta.Tactic.Grind.Arith.Cutsat.Proof
[ "Lean.Grind.CommRing.instBEqPoly", "Lean.Grind.CommRing.Poly", "Lean.Expr", "Std.HashMap", "Lean.Grind.CommRing.instHashablePoly", "_private.Lean.Meta.Tactic.Grind.Arith.Cutsat.Proof.0.Lean.Meta.Grind.Arith.Cutsat.ProofM.State" ]
true
CategoryTheory.Functor.instFullProdUncurry
Mathlib.CategoryTheory.Functor.Currying
[ "CategoryTheory.Functor", "CategoryTheory.Functor.category", "CategoryTheory.Functor.fullyFaithfulUncurry", "CategoryTheory.Functor.uncurry", "CategoryTheory.Functor.FullyFaithful.full", "CategoryTheory.prod'", "Prod", "CategoryTheory.Category", "CategoryTheory.Functor.Full" ]
true
Lean.Meta.Match.MatcherResult.mk.injEq
Lean.Meta.Match.Basic
[ "Eq.propIntro", "Lean.injEq_helper", "Lean.Expr", "Lean.Meta.MetaM", "List", "And", "Unit", "Lean.Meta.Match.MatcherResult", "Nat", "Eq.ndrec", "Lean.Meta.Match.MatcherResult.mk", "Eq.refl", "Lean.Meta.Match.MatcherResult.mk.inj", "Eq", "Lean.Meta.Match.CounterExample" ]
true
Polynomial.toFinsupp_C_mul_X_pow
Mathlib.Algebra.Polynomial.Basic
[ "Eq.mpr", "Polynomial.C", "Semiring.toModule", "Polynomial.toFinsupp", "HMul.hMul", "Polynomial.toFinsupp_monomial", "congrArg", "LinearMap.instFunLike", "Polynomial.C_mul_X_pow_eq_monomial", "RingHom", "Polynomial.monomial", "id", "LinearMap", "Polynomial", "Monoid.toPow", "NonUnitalN...
true
Std.Iterators.PostconditionT.run_pure
Init.Data.Iterators.PostconditionMonad
[ "Pure.pure", "Std.Iterators.PostconditionT.operation_pure", "congrArg", "Monad.toApplicative", "Eq.rec", "Std.Iterators.PostconditionT.Property", "Subtype", "Std.Iterators.PostconditionT.property_pure", "LawfulMonad", "Applicative.toPure", "Std.Iterators.PostconditionT.operation", "Std.Iterato...
true
AddCommSemigroup.rec
Mathlib.Algebra.Group.Defs
[ "AddCommSemigroup.mk", "AddSemigroup", "instHAdd", "AddSemigroup.toAdd", "HAdd.hAdd", "AddCommSemigroup", "Eq" ]
false
_private.Mathlib.LinearAlgebra.DFinsupp.0.iSupIndep_iff_finsetSum_eq_zero_imp_eq_zero._proof_1_5
Mathlib.LinearAlgebra.DFinsupp
[ "Lean.Grind.Linarith.Expr.zero", "Finsupp.instFunLike", "Lean.Grind.Linarith.Expr", "NegZeroClass.toNeg", "Lean.RArray.leaf", "False", "Lean.Grind.Linarith.Expr.neg", "Lean.Grind.not_not", "Lean.Grind.Linarith.diseq_unsat", "Lean.Grind.not_and", "Lean.Grind.iff_eq", "congrArg", "AddCommGroup...
false
AddCommGroup.toAddGroup_injective
Mathlib.Algebra.Group.Ext
[ "AddMonoid.toAddSemigroup", "HEq.refl", "AddCommGroup.toAddGroup", "AddCommGroup", "Eq.casesOn", "instHAdd", "AddSemigroup.toAdd", "AddGroup", "AddGroup.toSubNegMonoid", "HAdd.hAdd", "AddCommGroup.mk", "Eq.ndrec", "Eq.refl", "HEq", "AddCommGroup.casesOn", "Function.Injective", "SubNe...
true
Ideal.finite_setOf_absNorm_le
Mathlib.RingTheory.Ideal.Norm.AbsNorm
[ "Nontrivial", "Set.ext", "Eq.mpr", "Nat.instMulZeroOneClass", "Nat.instMulZeroClass", "CommRing", "NonUnitalCommRing.toNonUnitalNonAssocCommRing", "Ideal.finite_setOf_absNorm_eq", "LinearOrderedCommMonoidWithZero.toIsBotZeroClass", "CommRing.toNonUnitalCommRing", "Ideal.absNorm", "Iff.of_eq", ...
true
CategoryTheory.Discrete.costructuredArrowEquivalenceOfUnique._proof_5
Mathlib.CategoryTheory.Discrete.StructuredArrow
[ "CategoryTheory.Functor", "CategoryTheory.Discrete.costructuredArrowEquivalenceOfUnique._proof_1", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "CategoryTheory.eqToHom", "id", "CategoryTheory.CostructuredArrow", "CategoryTheory.CostructuredArrow.homMk", "CategoryTheory.Discrete.mk", "Ca...
false
Std.IteratorLoop.ctorIdx
Init.Data.Iterators.Consumers.Monadic.Loop
[ "Std.IteratorLoop", "Std.Iterator", "Nat" ]
false
instTopologicalSpaceStoneCech
Mathlib.Topology.Compactification.StoneCech
[ "instTopologicalSpaceStoneCech._aux_1", "instTopologicalSpaceStoneCech._proof_4", "TopologicalSpace.mk", "TopologicalSpace", "instTopologicalSpaceStoneCech._proof_3", "StoneCech", "instTopologicalSpaceStoneCech._proof_5" ]
true
Finmap.replace_toFinmap
Mathlib.Data.Finmap
[ "congrArg", "Finmap.replace", "AList.replace", "Finmap.replace._proof_1", "AList", "True", "eq_self", "of_eq_true", "congrFun'", "Finmap.liftOn_toFinmap", "Eq", "AList.toFinmap", "Finmap", "Eq.trans", "DecidableEq" ]
true
DFinsupp.mapRange_id
Mathlib.Data.DFinsupp.Defs
[ "DFinsupp.ext", "DFinsupp.instDFunLike", "id", "DFinsupp.mapRange", "Zero.toOfNat0", "Eq.refl", "DFinsupp", "optParam", "OfNat.ofNat", "Eq", "DFunLike.coe", "rfl", "Zero" ]
true
Homeomorph.toHomotopyEquiv._proof_1
Mathlib.Topology.Homotopy.Equiv
[ "Eq.mpr", "congrArg", "ContinuousMap", "ContinuousMap.comp", "id", "toContinuousMap", "TopologicalSpace", "ContinuousMap.id", "Homeomorph.instEquivLike", "Homeomorph.symm", "Homeomorph", "ContinuousMap.Homotopic", "ContinuousMap.Homotopic.refl", "Homeomorph.instContinuousMapClass", "Eq",...
false
Std.Http.Request.Builder.headers
Std.Internal.Http.Data.Request
[ "Std.Http.Request.Head.mk", "Std.Http.Request.Builder", "Std.Http.Request.Builder.mk", "Std.Http.Request.Head.uri", "Std.Http.Request.Builder.extensions", "Std.Http.Request.Head.method", "Std.Http.Request.Head.version", "Std.Http.Request.Head", "Std.Http.Headers", "Std.Http.Request.Builder.line" ]
true
CategoryTheory.CartesianMonoidalCategory.ofHasFiniteProducts._proof_1
Mathlib.CategoryTheory.Monoidal.Cartesian.Basic
[ "CategoryTheory.Limits.HasLimit", "PEmpty", "Finite.of_fintype", "CategoryTheory.Limits.hasLimitOfHasLimitsOfShape", "CategoryTheory.discreteCategory", "CategoryTheory.Functor.empty", "Fintype.instPEmpty", "CategoryTheory.Limits.hasLimitsOfShape_discrete", "CategoryTheory.Limits.HasFiniteProducts", ...
false