name
stringlengths
2
347
module
stringlengths
6
90
deps
listlengths
0
692
allowCompletion
bool
2 classes
Aesop.Frontend.RuleExpr.elab
Aesop.Frontend.RuleExpr
[ "Inhabited.default", "Lean.Elab.Term.instInhabitedTermElabM", "Lean.Syntax", "Aesop.ElabM.Context", "Aesop.Frontend.RuleExpr", "Lean.Elab.Term.TermElabM", "Aesop.ElabM", "instInhabitedReaderT" ]
true
_private.Init.Data.String.Lemmas.Splits.0.String.Slice.Pos.Splits.le_iff_exists_eq_append._simp_1_3
Init.Data.String.Lemmas.Splits
[ "String.instLEPos_1", "String.Slice.Pos.offset", "String.Slice", "LE.le", "String.Pos.Raw", "String.Slice.Pos.le_iff", "String.instLERaw", "propext", "String.Slice.Pos", "Eq" ]
false
_private.Lean.Meta.FunInfo.0.Lean.Meta.FunInfoEnvCacheKey.c
Lean.Meta.FunInfo
[ "Lean.Name", "_private.Lean.Meta.FunInfo.0.Lean.Meta.FunInfoEnvCacheKey" ]
true
ValuationRing.instLEValueGroup._proof_1
Mathlib.RingTheory.Valuation.ValuationRing
[ "Units.val", "Eq.mpr", "MulOne.toOne", "Units.instMulAction", "Semigroup.toMul", "CommRing", "instHSMul", "NonUnitalCommRing.toNonUnitalNonAssocCommRing", "HMul.hMul", "CommRing.toNonUnitalCommRing", "outParam", "Monoid.toMulOneClass", "congrArg", "CommSemiring.toSemiring", "HEq.refl", ...
false
_private.Mathlib.Data.Int.Interval.0.Int.instLocallyFiniteOrder._proof_14
Mathlib.Data.Int.Interval
[ "Int.Linear.eq_of_core", "Lean.RArray.leaf", "False", "Lean.Grind.and_eq_of_eq_true_right", "Preorder.toLT", "HMul.hMul", "Int.Linear.norm_le", "Lean.Grind.not_and", "eq_false", "Int.Linear.Expr.eq_of_norm_eq", "congrArg", "Int.Linear.le_norm_expr", "Int.Linear.le_unsat", "Int.Linear.eq_no...
false
TopCommRingCat._sizeOf_inst
Mathlib.Topology.Category.TopCommRingCat
[ "TopCommRingCat._sizeOf_1", "SizeOf.mk", "SizeOf", "TopCommRingCat" ]
false
_private.Mathlib.Analysis.InnerProductSpace.Projection.Minimal.0.termAbsR
Mathlib.Analysis.InnerProductSpace.Projection.Minimal
[ "Lean.Name.mkNum", "Lean.Name.mkStr", "instOfNatNat", "Lean.Name.anonymous", "Lean.ParserDescr", "Lean.ParserDescr.node", "Nat", "Lean.ParserDescr.symbol", "OfNat.ofNat" ]
true
isLocalMax_of_deriv'
Mathlib.Analysis.Calculus.DerivativeTest
[ "Real.instIsOrderedRing", "Real.partialOrder", "Real.instLE", "Real", "Set.Ioi", "Preorder.toLT", "Semiring.toModule", "Real.denselyNormedField", "IsLocalMax", "instNoMaxOrderOfNontrivial", "Real.instZero", "ContinuousAt", "DifferentiableAt", "deriv", "nhdsWithin", "Filter.Eventually",...
true
OrthogonalFamily.independent
Mathlib.Analysis.InnerProductSpace.Subspace
[ "LinearIsometry", "LinearMap.toAddMonoidHom", "NormedCommRing.toNormedRing", "Eq.mpr", "DFinsupp.ext", "InnerProductSpace.toNormedSpace", "instDecidableNot", "Submodule", "Trans.trans", "Pi.addCommMonoid", "NormedRing.toRing", "Inner.inner", "DFinsupp.addCommGroup", "iSupIndep", "congrAr...
true
NonUnitalSubsemiring.mem_prod
Mathlib.RingTheory.NonUnitalSubsemiring.Basic
[ "Iff.rfl", "Prod.instNonUnitalNonAssocSemiring", "Membership.mem", "NonUnitalSubsemiring.prod", "Prod.fst", "And", "Iff", "NonUnitalSubsemiring.instSetLike", "NonUnitalSubsemiring", "Prod", "NonUnitalNonAssocSemiring", "Prod.snd", "SetLike.instMembership" ]
true
BitVec.not_sub_one_eq_not_add_one
Init.Data.BitVec.Bitblast
[ "Eq.mpr", "congrArg", "HSub.hSub", "BitVec.instAdd", "BitVec", "id", "instOfNatNat", "BitVec.ofNat", "BitVec.instNeg", "instHAdd", "BitVec.instSub", "instHSub", "BitVec.not_eq_neg_add", "HAdd.hAdd", "Nat", "BitVec.add_sub_cancel", "BitVec.sub_add_cancel", "Complement.complement", ...
true
Diffeomorph.coe_toHomeomorph
Mathlib.Geometry.Manifold.Diffeomorph
[ "NormedSpace", "Diffeomorph.toHomeomorph", "Diffeomorph", "TopologicalSpace", "ModelWithCorners", "Homeomorph.instEquivLike", "Diffeomorph.instEquivLike", "ENat", "Homeomorph", "NontriviallyNormedField", "NontriviallyNormedField.toNormedField", "NormedAddCommGroup.toSeminormedAddCommGroup", ...
true
MeasureTheory.eLpNorm'_mono_ae
Mathlib.MeasureTheory.Function.LpSeminorm.Basic
[ "MeasureTheory.ae", "Norm.norm", "SeminormedAddGroup.toNorm", "Eq.mpr", "Real.instLE", "Real", "MeasureTheory.Measure", "MeasureTheory.eLpNorm'_mono_enorm_ae", "Real.instZero", "congrArg", "MeasureTheory.eLpNorm'", "SeminormedAddGroup.toNNNorm", "Filter.Eventually", "PseudoMetricSpace.toUn...
true
Filter.eventually_mem_set._simp_1
Mathlib.Order.Filter.Basic
[ "Filter.instMembership", "Filter.Eventually", "Membership.mem", "propext", "Eq", "Set.instMembership", "Filter", "Filter.eventually_mem_set", "Set" ]
false
AddSubgroup.normalCore._proof_2
Mathlib.Algebra.Group.Subgroup.Basic
[ "AddGroup.toSubtractionMonoid", "NegZeroClass.toNeg", "addConj_add", "AddMonoid.toAddZeroClass", "setOf", "Membership.mem", "AddZeroClass.toAddZero", "Eq.mp", "SubtractionMonoid.toSubNegZeroMonoid", "SubNegZeroMonoid.toNegZeroClass", "congr_arg", "AddSubgroup", "instHAdd", "AddGroup", "A...
false
isFullyInvariant_iff_sSup_isotypicComponents
Mathlib.RingTheory.SimpleModule.Isotypic
[ "Eq.mpr", "CompleteSublattice.instSupSet", "Submodule", "Equiv.right_inv", "Iff.of_eq", "congrArg", "iSup", "AddCommGroup.toAddCommMonoid", "HEq.refl", "Submodule.completeLattice", "PartialOrder.toPreorder", "setOf", "Preorder.toLE", "Membership.mem", "Exists", "CompleteLattice.toCondi...
true
PointedCone.IsSimplicial.hull
Mathlib.Geometry.Convex.Cone.Simplicial
[ "IsOrderedRing", "Set.Finite", "PartialOrder", "PointedCone", "PointedCone.IsSimplicial", "id", "AddCommMonoid", "And", "And.intro", "Exists.intro", "Semiring", "PointedCone.hull", "Module", "Eq", "rfl", "LinearIndepOn", "Set" ]
true
_private.Mathlib.Geometry.Manifold.VectorBundle.Tangent.0.termTM
Mathlib.Geometry.Manifold.VectorBundle.Tangent
[ "Lean.Name.mkNum", "Lean.Name.mkStr", "instOfNatNat", "Lean.Name.anonymous", "Lean.ParserDescr", "Lean.ParserDescr.node", "Nat", "Lean.ParserDescr.symbol", "OfNat.ofNat" ]
true
List.alternatingSum_nil
Mathlib.Algebra.BigOperators.Group.List.Basic
[ "Neg", "Zero.toOfNat0", "OfNat.ofNat", "Eq", "Add", "rfl", "List.alternatingSum", "List.nil", "Zero" ]
true
Lean.Meta.Grind.mkEqHEqProof
Lean.Meta.Tactic.Grind.Types
[ "Lean.Meta.Grind.GrindM", "Lean.Meta.Grind.Goal", "Lean.Meta.Grind.State", "ReaderT", "Lean.Meta.State", "instMonadLiftT", "Lean.Meta.Sym.Context", "ReaderT.instMonad", "Lean.Meta.Grind.Context", "Lean.Expr", "Lean.Meta.MetaM", "IO.RealWorld", "instDecidableEqBool", "liftM", "ReaderT.ins...
true
WithLp._sizeOf_inst
Mathlib.Analysis.Normed.Lp.WithLp
[ "WithLp", "WithLp._sizeOf_1", "SizeOf.mk", "ENNReal", "SizeOf" ]
false
continuous_clm_apply
Mathlib.Analysis.Normed.Module.FiniteDimension
[ "Eq.mpr", "NormedCommRing.toSeminormedCommRing", "_private.Mathlib.Analysis.Normed.Module.FiniteDimension.0.continuous_clm_apply._simp_1_1", "Continuous", "CompleteSpace", "NormedSpace", "ContinuousLinearMap.topologicalSpace", "congrArg", "AddCommGroup.toAddCommMonoid", "ContinuousLinearMap.funLik...
true
SSet.Subcomplex.Pairing.RankFunction.Cell.ι_t_app_assoc
Mathlib.AlgebraicTopology.SimplicialSet.AnodyneExtensions.RelativeCellComplex
[ "SSet.Subcomplex.toSSet", "CategoryTheory.Category.assoc", "SSet.Subcomplex.Pairing.RankFunction.Cell.mapHorn", "SSet.Subcomplex.Pairing.RankFunction.sigmaHorn", "Opposite", "SSet.Subcomplex.Pairing.RankFunction.filtration", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "congrArg", "Line...
true
CategoryTheory.Monoidal.functorCategoryMonoidal._proof_13
Mathlib.CategoryTheory.Monoidal.FunctorCategory
[ "CategoryTheory.Category.assoc", "CategoryTheory.Functor", "CategoryTheory.MonoidalCategoryStruct.whiskerLeft", "CategoryTheory.Iso.inv_hom_id", "CategoryTheory.CategoryStruct.toQuiver", "CategoryTheory.NatTrans.ext'", "Quiver.Hom", "CategoryTheory.MonoidalCategory.id_whiskerLeft", "congrArg", "Ca...
false
Std.TreeSet.min!_insert_le_self
Std.Data.TreeSet.Lemmas
[ "Std.TreeSet", "Unit.unit", "Std.TreeMap.minKey!_insertIfNew_le_self", "Ordering", "Std.TreeSet.insert", "Std.TreeSet.inner", "Std.TransCmp", "Bool.true", "Unit", "Std.TreeSet.min!", "Bool", "Inhabited", "Ordering.isLE", "Eq" ]
true
_private.Mathlib.Analysis.InnerProductSpace.Basic.0.inner_eq_norm_mul_iff_div._simp_1_6
Mathlib.Analysis.InnerProductSpace.Basic
[ "GroupWithZero.toMonoidWithZero", "False", "GroupWithZero.toDivInvMonoid", "eq_false", "GroupWithZero", "DivInvMonoid.toZPow", "Ne", "Int", "MonoidWithZero.toMulZeroOneClass", "HPow.hPow", "Zero.toOfNat0", "zpow_ne_zero", "instHPow", "MulZeroOneClass.toMulZeroClass", "OfNat.ofNat", "Eq...
false
Std.DTreeMap.Internal.Impl.Const.toListModel_insertManyIfNewUnit!_list
Std.Data.DTreeMap.Internal.WF.Lemmas
[ "Std.DTreeMap.Internal.Impl.Const.insertManyIfNewUnit!", "Eq.mpr", "Unit.unit", "Std.DTreeMap.Internal.Impl.SizedBalancedTree.impl", "Ord", "congrArg", "instForInOfForIn'", "Std.TransOrd", "Std.DTreeMap.Internal.Impl.Const.toListModel_insertManyIfNewUnit_list", "Std.DTreeMap.Internal.Impl.Balanced...
true
BitVec.sub_add_comm
Init.Data.BitVec.Bitblast
[ "Eq.mpr", "congrArg", "HSub.hSub", "BitVec.instAdd", "BitVec", "id", "instHAdd", "BitVec.instSub", "instHSub", "HAdd.hAdd", "Nat", "BitVec.add_sub_comm", "Eq.refl", "Eq" ]
true
SimpleGraph.isAcyclic_sup_fromEdgeSet_iff
Mathlib.Combinatorics.SimpleGraph.Acyclic
[ "SimpleGraph.deleteEdges", "Eq.mpr", "False", "Lattice.toSemilatticeSup", "SimpleGraph.edge", "Equiv.instEquivLike", "Set.disjoint_singleton_right._simp_1", "SimpleGraph.deleteEdges_eq_self._simp_1", "eq_false", "CompleteBooleanAlgebra.toCompleteDistribLattice", "le_sup_left", "Sym2.mk", "co...
true
_private.Mathlib.Analysis.Calculus.VectorField.0.VectorField.lieBracketWithin_add_left._abel_1_2
Mathlib.Analysis.Calculus.VectorField
[ "Mathlib.Tactic.Abel.const_add_termg", "Mathlib.Tactic.Abel.term_atomg", "NegZeroClass.toNeg", "NormedSpace", "AddCommGroup.toAddCommMonoid", "ContinuousLinearMap.funLike", "NormedSpace.toModule", "AddMonoid.toAddZeroClass", "HSub.hSub", "PseudoMetricSpace.toUniformSpace", "Mathlib.Tactic.Abel.t...
false
_private.Mathlib.RingTheory.Coalgebra.Basic.0.Coalgebra.sum_tmul_tmul_eq._simp_1_1
Mathlib.RingTheory.Coalgebra.Basic
[ "CommSemiring.toSemiring", "Finset", "TensorProduct.addCommMonoid", "TensorProduct.tmul_sum", "AddCommMonoid", "CommSemiring", "TensorProduct", "TensorProduct.tmul", "Module", "Eq.symm", "Eq", "Finset.sum" ]
false
Lean.Elab.Do.DoElemContKind._sizeOf_inst
Lean.Elab.Do.Basic
[ "Lean.Elab.Do.DoElemContKind._sizeOf_1", "Lean.Elab.Do.DoElemContKind", "SizeOf.mk", "SizeOf" ]
false
Array.le_sum_div_length_of_min?_eq_some_nat
Init.Data.Array.Nat
[ "List.sum_toArray", "Eq.mpr", "List.min?", "instHDiv", "congrArg", "List.min?_toArray", "Array.sum", "List.sum", "Zero.ofOfNat0", "Option.some", "Array.min?", "Eq.mp", "Array.casesOn", "id", "HDiv.hDiv", "instOfNatNat", "LE.le", "instLENat", "Array", "List", "List.size_toArra...
true
ULiftable.recOn
Mathlib.Control.ULiftable
[ "Equiv", "ULiftable.rec", "ULiftable.mk", "ULiftable" ]
false
Module.End.hasEigenvalue_iff_isRoot_charpoly
Mathlib.LinearAlgebra.Eigenspace.Charpoly
[ "Eq.mpr", "Polynomial.C", "Polynomial.eval", "NegZeroClass.toNeg", "Submodule", "IsDomain", "False", "CommRing", "instHSMul", "IsDomain.to_noZeroDivisors", "MonoidHom.instFunLike", "NeZero.one", "Module.End.hasEigenvalue_iff", "Polynomial.coeff_zero_eq_eval_zero", "HMul.hMul", "MonoidH...
true
_private.Batteries.Tactic.Lint.Simp.0.Batteries.Tactic.Lint.formatLemmas._sparseCasesOn_2
Batteries.Tactic.Lint.Simp
[ "Nat.ne_of_beq_eq_false", "Nat.shiftRight", "Nat.hasNotBit", "instOfNatNat", "Bool.ctorIdx", "Bool.true", "Nat.land", "Nat", "Bool.rec", "Bool", "Eq.refl", "OfNat.ofNat", "Bool.false" ]
false
Lat.Iso.mk._proof_3
Mathlib.Order.Category.Lat
[ "Lattice.toSemilatticeSup", "PartialOrder.toPreorder", "Lat.carrier", "Preorder.toLE", "SemilatticeInf.toPartialOrder", "SemilatticeSup.toMax", "OrderIso", "OrderIsoClass.toLatticeHomClass", "OrderIso.instEquivLike", "OrderIso.instOrderIsoClass", "OrderIso.symm", "instFunLikeOrderIso", "Max....
false
_private.Std.Sync.Channel.0.Std.CloseableChannel.Bounded.State.mk._flat_ctor
Std.Sync.Channel
[ "Vector", "_private.Std.Sync.Channel.0.Std.CloseableChannel.Bounded.State", "Nat", "LT.lt", "IO.Promise", "Bool", "Std.Queue", "_private.Std.Sync.Channel.0.Std.CloseableChannel.Bounded.Consumer", "IO.Ref", "instLTNat", "_private.Std.Sync.Channel.0.Std.CloseableChannel.Bounded.State.mk", "Optio...
false
groupHomology.shortComplexH0
Mathlib.RepresentationTheory.Homological.GroupHomology.LowDegree
[ "Rep.coinvariantsFunctor", "Rep.V", "CommRing", "Finsupp.module", "ModuleCat", "CommSemiring.toSemiring", "AddCommGroup.toAddCommMonoid", "Rep.hV2", "CategoryTheory.ShortComplex.mk", "CategoryTheory.ShortComplex", "LinearMap.instFunLike", "Group", "Rep.instCategory", "Rep.hV1", "Rep.hasF...
true
WithBot.instIsOrderedRing
Mathlib.Algebra.Order.Ring.WithTop
[ "Nontrivial", "WithBot.zeroLEOneClass", "MulOne.toOne", "WithBot.instMulPosMono", "WithBot", "IsOrderedRing.toPosMulMono", "WithBot.instCommSemiring", "IsOrderedRing.toZeroLEOneClass", "IsOrderedRing", "CommSemiring.toSemiring", "AddMonoid.toAddZeroClass", "PartialOrder.toPreorder", "Semigro...
true
Batteries.RBNode.Path.insertNew.eq_1
Batteries.Data.RBMap.Lemmas
[ "Batteries.RBNode", "Batteries.RBNode.Path", "Batteries.RBNode.nil", "Batteries.RBNode.Path.insertNew", "Batteries.RBColor.red", "Eq.refl", "Batteries.RBNode.node", "Eq", "Batteries.RBNode.Path.ins" ]
true
Batteries.RBNode.setRed.eq_2
Batteries.Data.RBMap.Lemmas
[ "Batteries.RBNode", "Batteries.RBNode.nil", "Eq.refl", "Eq", "Batteries.RBNode.setRed" ]
true
Algebra.TensorProduct.tensorTensorTensorComm_symm
Mathlib.RingTheory.TensorProduct.Maps
[ "AlgEquiv.symm", "CommSemiring.toSemiring", "IsScalarTower", "TensorProduct.addCommMonoid", "Algebra", "Algebra.toSMul", "Algebra.toModule", "Algebra.TensorProduct.leftAlgebra", "Algebra.TensorProduct.tensorTensorTensorComm", "CommSemiring", "NonUnitalNonAssocSemiring.toAddCommMonoid", "AlgEqu...
true
UInt8.sub_le
Init.Data.UInt.Lemmas
[ "congrArg", "Nat.sub_le._simp_1", "HSub.hSub", "instSubNat", "LE.le", "instLENat", "instSubUInt8", "instHSub", "Nat", "True", "_private.Init.Data.UInt.Lemmas.0.UInt8.sub_le._simp_1_1", "of_eq_true", "congrFun'", "UInt8.toNat", "UInt8.toNat_sub_of_le", "UInt8", "instLEUInt8", "Eq.tr...
true
RingCat.Colimits.Prequotient.ctorElim
Mathlib.Algebra.Category.Ring.Colimits
[ "RingCat.Colimits.Prequotient.one", "CategoryTheory.Functor", "RingCat.Colimits.Prequotient.neg", "RingCat.Colimits.Prequotient.casesOn", "RingCat.Colimits.Prequotient.add", "RingCat.Colimits.Prequotient.ctorIdx", "RingCat.Colimits.Prequotient.zero", "CategoryTheory.SmallCategory", "RingCat.Colimits...
false
AbsoluteValue.isAbsoluteValue
Mathlib.Algebra.Order.AbsoluteValue.Basic
[ "AbsoluteValue.eq_zero", "PartialOrder", "AbsoluteValue.nonneg", "AbsoluteValue.funLike", "IsAbsoluteValue", "Semiring", "AbsoluteValue.add_le", "IsAbsoluteValue.mk", "AbsoluteValue.map_mul", "DFunLike.coe", "AbsoluteValue" ]
true
_private.Lean.Compiler.LCNF.InferBorrow.0.Lean.Compiler.LCNF.OwnReason.functionCallArg
Lean.Compiler.LCNF.InferBorrow
[ "_private.Lean.Compiler.LCNF.InferBorrow.0.Lean.Compiler.LCNF.OwnReason", "_private.Lean.Compiler.LCNF.InferBorrow.0.Lean.Compiler.LCNF.OwnReason.functionCallArg", "Lean.FVarId" ]
true
Matroid.Indep.rankPos_of_nonempty
Mathlib.Combinatorics.Matroid.Basic
[ "Matroid.IsBase.rankPos_of_nonempty", "Exists", "Matroid.IsBase", "Matroid.Indep", "HasSubset.Subset", "Set.Nonempty.mono", "And.casesOn", "Matroid.Indep.exists_isBase_superset", "Matroid.RankPos", "And", "Set.Nonempty", "Exists.casesOn", "Matroid", "Set.instHasSubset", "Set" ]
true
MeasureTheory.hausdorffMeasure_smul
Mathlib.MeasureTheory.Measure.Hausdorff
[ "Real.instLE", "Real", "instHSMul", "MeasureTheory.Measure", "Isometry.hausdorffMeasure_image", "Real.instZero", "SMul", "MeasureTheory.Measure.hausdorffMeasure", "IsIsometricSMul", "BorelSpace", "EMetricSpace.toPseudoEMetricSpace", "LE.le", "EMetricSpace", "MeasurableSpace", "PseudoEMet...
true
Std.TreeMap.minKey!_modify
Std.Data.TreeMap.Lemmas
[ "instDecidableEqOrdering", "Std.TreeMap.inner", "Ordering", "Ordering.eq", "Std.TransCmp", "Std.TreeMap.isEmpty", "Std.TreeMap.minKey!", "Std.DTreeMap.Const.minKey!_modify", "Bool", "Inhabited", "Std.TreeMap.modify", "Bool.false", "Eq", "Std.TreeMap", "ite" ]
true
Std.Time.PlainDateTime.mk.sizeOf_spec
Std.Time.DateTime.PlainDateTime
[ "Std.Time.PlainTime", "Std.Time.PlainDate._sizeOf_inst", "Std.Time.PlainDate", "Std.Time.PlainDateTime._sizeOf_inst", "instOfNatNat", "instHAdd", "HAdd.hAdd", "Nat", "SizeOf.sizeOf", "instAddNat", "Eq.refl", "Std.Time.PlainDateTime", "OfNat.ofNat", "Std.Time.PlainTime._sizeOf_inst", "Std...
true
Lean.Grind.Ring.intCast_zero
Init.Grind.Ring.Basic
[ "Int.cast", "Eq.mpr", "congrArg", "id", "Lean.Grind.AddCommMonoid.toZero", "instOfNatNat", "Int", "Lean.Grind.Semiring.ofNat", "Lean.Grind.Ring.intCast_ofNat", "instOfNat", "Lean.Grind.Ring", "Nat", "Zero.toOfNat0", "Eq.refl", "Lean.Grind.Ring.toSemiring", "Lean.Grind.Ring.intCast", ...
true
Finset.Nonempty.of_smul_left
Mathlib.Algebra.Group.Pointwise.Finset.Scalar
[ "instHSMul", "Finset.smul", "Finset", "SMul", "Finset.Nonempty.of_image₂_left", "Finset.Nonempty", "HSMul.hSMul", "DecidableEq" ]
true
CategoryTheory.AdditiveFunctor.ofLeftExact_map
Mathlib.CategoryTheory.Preadditive.AdditiveFunctor
[ "CategoryTheory.Functor", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "CategoryTheory.leftExactFunctor", "CategoryTheory.Functor.category", "CategoryTheory.additiveFunctor", "CategoryTheory.ObjectProperty.FullSubcategory.obj", "CategoryTheory.Functor.map", "CategoryTheory.Preadditive", ...
true
lt_or_le_of_codirected
Mathlib.Order.SuccPred.Archimedean
[ "Eq.mpr", "Preorder.toLT", "Classical.or_iff_not_imp_right", "congrArg", "False.elim", "PartialOrder.toPreorder", "Preorder.toLE", "le_total_of_codirected", "PartialOrder", "id", "Ne.symm", "LE.le", "Or.casesOn", "LT.lt", "propext", "Or", "IsSuccArchimedean", "SuccOrder", "ne_of_...
true
Lean.Meta.Sym.Simp.Result.rfl.injEq
Lean.Meta.Sym.Simp.SimpM
[ "Eq.propIntro", "Lean.injEq_helper", "Lean.Meta.Sym.Simp.Result.rfl.inj", "And", "Lean.Meta.Sym.Simp.Result", "Bool", "Eq.ndrec", "Eq.refl", "Eq", "Lean.Meta.Sym.Simp.Result.rfl" ]
true
_private.Mathlib.AlgebraicGeometry.EllipticCurve.Affine.Point.0.WeierstrassCurve.Affine.Point.toClass.match_1.eq_1
Mathlib.AlgebraicGeometry.EllipticCurve.Affine.Point
[ "Unit.unit", "Field.toCommRing", "WeierstrassCurve.Affine.Nonsingular", "Unit", "WeierstrassCurve.Affine.Point.some", "WeierstrassCurve.Affine", "Eq.refl", "WeierstrassCurve.Affine.Point", "WeierstrassCurve.Affine.Point.zero", "WeierstrassCurve.Affine.Point.toClass.match_1", "Eq", "Field" ]
true
Algebra.adjoin_insert_adjoin
Mathlib.Algebra.Algebra.Subalgebra.Lattice
[ "Subalgebra.instSetLike", "SetLike.mem_coe._simp_1", "SetLike.coe_subset_coe._simp_1", "congrArg", "PartialOrder.toPreorder", "eq_of_forall_ge_iff", "Algebra", "Preorder.toLE", "Algebra.adjoin", "Membership.mem", "Insert.insert", "HasSubset.Subset", "LE.le", "iff_self", "CommSemiring", ...
true
Lean.Elab.Term.MVarErrorKind._sizeOf_inst
Lean.Elab.Term.TermElabM
[ "Lean.Elab.Term.MVarErrorKind._sizeOf_1", "SizeOf.mk", "Lean.Elab.Term.MVarErrorKind", "SizeOf" ]
false
GrpCat.limitCone
Mathlib.Algebra.Category.Grp.Limits
[ "GrpCat.instConcreteCategoryMonoidHomCarrier", "GrpCat.hasForgetToMonCat", "CategoryTheory.Functor", "CategoryTheory.Limits.Cone", "GrpCat", "MonoidHom.instFunLike", "MonoidHom", "GrpCat.str", "Monoid.toMulOneClass", "CategoryTheory.liftLimit", "CategoryTheory.Functor.comp", "CategoryTheory.Li...
true
Batteries.Tactic.getExplicitRelArg?._sunfold
Batteries.Tactic.Trans
[ "_private.Batteries.Tactic.Trans.0.Batteries.Tactic.getExplicitFuncArg?.match_1", "Pure.pure", "Lean.MonadError.mk", "Lean.instMonadExceptOfExceptionCoreM", "instMonadExceptOfMonadExceptOf", "Lean.MonadError.toMonadExceptOf", "Lean.Meta.State", "Lean.instAddErrorMessageContextOfAddMessageContextOfMona...
false
Real.rpow_sum_le_const_mul_sum_rpow_of_nonneg
Mathlib.Analysis.MeanInequalities
[ "Eq.mpr", "Real.instPow", "Real.instLE", "Real", "HMul.hMul", "Real.lattice", "outParam", "Real.instZero", "abs", "congrArg", "HMul", "HEq.refl", "Finset", "Real.instSub", "HSub.hSub", "Membership.mem", "Eq.casesOn", "Real.rpow_sum_le_const_mul_sum_rpow", "Real.instAddGroup", "...
true
String.Pos.Raw.byteIdx_add_string
Init.Data.String.PosRaw
[ "String", "String.utf8ByteSize", "String.Pos.Raw", "instHAdd", "HAdd.hAdd", "Nat", "instAddNat", "String.Pos.Raw.byteIdx", "Eq", "String.instHAddRaw_1", "rfl" ]
true
MonCat.Colimits.colimitIsColimit._proof_2
Mathlib.Algebra.Category.MonCat.Colimits
[ "MonCat.Colimits.descMorphism", "Eq.mpr", "MonoidHom.instMonoidHomClass", "MonCat.Colimits.Prequotient.rec", "MulOne.toOne", "CategoryTheory.Functor", "CategoryTheory.Limits.Cocone", "MonoidHom.instFunLike", "HMul.hMul", "CategoryTheory.CategoryStruct.toQuiver", "MonoidHom", "Quiver.Hom", "M...
false
instHasColimitsOfShapeUnderOfWithInitial
Mathlib.CategoryTheory.WithTerminal.Cone
[ "CategoryTheory.instCategoryUnder", "CategoryTheory.Functor", "CategoryTheory.WithInitial.liftFromUnder", "CategoryTheory.Limits.hasColimitOfHasColimitsOfShape", "CategoryTheory.Limits.HasColimitsOfShape", "CategoryTheory.Functor.category", "CategoryTheory.Limits.HasColimitsOfShape.mk", "CategoryTheor...
true
_private.Mathlib.Combinatorics.SimpleGraph.Walk.Traversal.0.SimpleGraph.Walk.support_getElem_one._proof_1_1
Mathlib.Combinatorics.SimpleGraph.Walk.Traversal
[ "SimpleGraph.Walk.length", "SimpleGraph.Walk.support", "SimpleGraph.Walk", "SimpleGraph.Walk.length_support", "Eq.rec", "instOfNatNat", "LE.le", "instLENat", "Nat.lt_add_one_of_le", "SimpleGraph", "instHAdd", "HAdd.hAdd", "Nat", "LT.lt", "instAddNat", "instLTNat", "OfNat.ofNat", "E...
false
ContMDiffAt.curry_left
Mathlib.Geometry.Manifold.ContMDiff.Constructions
[ "ContMDiffAt.comp₂", "Prod.normedSpace", "Prod.normedAddCommGroup", "NormedSpace", "contMDiffAt_const", "instTopologicalSpaceProd", "id", "instTopologicalSpaceModelProd", "Prod.mk", "contMDiffAt_id", "TopologicalSpace", "ModelWithCorners", "ENat", "ContMDiffAt", "NontriviallyNormedField"...
true
LaurentPolynomial.degree_zero
Mathlib.Algebra.Polynomial.Laurent
[ "AddMonoidAlgebra.semiring", "WithBot", "LaurentPolynomial", "Bot.bot", "Int", "Int.instAddMonoid", "Semiring", "Zero.toOfNat0", "LaurentPolynomial.degree", "OfNat.ofNat", "Eq", "WithBot.bot", "rfl", "MulZeroClass.toZero", "instMulZeroClassOfSemiring" ]
true
_private.Std.Tactic.BVDecide.LRAT.Internal.CompactLRATCheckerSound.0.Std.Tactic.BVDecide.LRAT.Internal.compactLratChecker.go.match_1.splitter
Std.Tactic.BVDecide.LRAT.Internal.CompactLRATCheckerSound
[ "Std.Tactic.BVDecide.LRAT.Internal.compactLratChecker.go.match_1", "Prod.mk", "Std.Tactic.BVDecide.LRAT.Internal.DefaultFormula", "Nat", "Bool", "Prod" ]
true
PNat.factorMultiset.eq_1
Mathlib.Data.PNat.Factors
[ "PNat.val", "PrimeMultiset.ofNatList", "Eq.refl", "PNat.factorMultiset", "Eq", "PrimeMultiset", "Nat.primeFactorsList", "PNat.factorMultiset._proof_1", "PNat" ]
true
CategoryTheory.Grothendieck.instCategory._proof_3
Mathlib.CategoryTheory.Grothendieck
[ "CategoryTheory.Cat.category", "CategoryTheory.Functor", "CategoryTheory.Grothendieck.fiber", "CategoryTheory.Grothendieck.base", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "congrArg", "CategoryTheory.eqToHom_map", "CategoryTheory.eqToHom", "CategoryTheory.Grothendieck", "CategoryTh...
false
_private.Init.Data.Nat.Lemmas.0.Nat.mul_eq_zero.match_1_1
Init.Data.Nat.Lemmas
[ "False", "HMul.hMul", "HEq.refl", "False.elim", "noConfusion_of_Nat", "Eq.casesOn", "instMulNat", "instOfNatNat", "instHAdd", "HAdd.hAdd", "Nat", "Nat.ctorIdx", "instAddNat", "Eq.refl", "HEq", "Nat.mul", "OfNat.ofNat", "Nat.succ", "Eq", "Nat.add", "instHMul" ]
false
initFn._@.Mathlib.Tactic.Attr.Register.612238087._hygCtx._hyg.24
Mathlib.Tactic.Attr.Register
[ "Lean.Name.mkNum", "IO", "Lean.Name.mkStr", "instOfNatNat", "Lean.Name.anonymous", "Lean.Meta.Simp.Simprocs", "Option.none", "Lean.Meta.Simp.registerSimprocAttr", "Nat", "IO.Ref", "OfNat.ofNat", "Lean.Name.mkStr1", "Lean.Meta.Simp.SimprocExtension" ]
false
Submonoid.map_inf_comap_of_surjective
Mathlib.Algebra.Group.Submonoid.Operations
[ "CompleteLattice.toLattice", "Submonoid.map", "Submonoid.instCompleteLattice", "MulOneClass.toMulOne", "Submonoid.comap", "Submonoid.instMin", "MonoidHomClass", "MulOneClass", "GaloisInsertion.l_inf_u", "Eq", "DFunLike.coe", "Function.Surjective", "Min.min", "Submonoid", "FunLike", "La...
true
CStarModule.inner_zero_left
Mathlib.Analysis.CStarAlgebra.Module.Defs
[ "NonUnitalCommRing.toNonUnitalNonAssocCommRing", "SemilinearMapClass.distribMulActionSemiHomClass", "Complex.commRing", "Inner.inner", "congrArg", "DistribMulAction.toDistribSMul", "AddCommGroup.toAddCommMonoid", "SMul", "AddMonoid.toAddZeroClass", "NonUnitalNonAssocRing.toAddCommGroup", "Linear...
true
Mathlib.CrossRef.Tag.mk.noConfusion
Mathlib.Tactic.CrossRefAttribute
[ "Mathlib.CrossRef.Database", "String", "Mathlib.CrossRef.Tag.mk", "id", "Mathlib.CrossRef.Tag.noConfusion", "Lean.Name", "Mathlib.CrossRef.Tag", "Eq" ]
false
_private.Std.Data.Internal.List.Associative.0.Std.Internal.List.getEntry_congr._simp_1_1
Std.Data.Internal.List.Associative
[ "Option.some", "Bool.true", "List", "Std.Internal.List.containsKey", "Bool", "Std.Internal.List.getEntry?", "Std.Internal.List.getEntry", "Std.Internal.List.getEntry?_eq_some_getEntry", "Eq.symm", "BEq", "Eq", "Sigma", "Option" ]
false
Lean.Grind.AC.Seq.collectVars._sunfold
Lean.Meta.Tactic.Grind.AC.VarRename
[ "HAndThen.hAndThen", "instHAndThenOfAndThen", "_private.Lean.Meta.Tactic.Grind.AC.VarRename.0.Lean.Grind.AC.Seq.renameVars.match_1", "Lean.Meta.Grind.instAndThenVarCollector", "Lean.Meta.Grind.VarCollector", "Unit", "Lean.Meta.Grind.collectVar", "Lean.Grind.AC.Var", "Lean.Grind.AC.Seq", "Lean.Grin...
false
Matrix.kroneckerBilinear._proof_3
Mathlib.LinearAlgebra.Matrix.Kronecker
[ "instSMulOfMul", "AlgHom.algHomClass", "NonUnitalAlgHomClass.instLinearMapClass", "CommSemiring.toSemiring", "AlgHom", "AlgHom.funLike", "Module.End.instSemiring", "Algebra", "Matrix.kroneckerBilinear._proof_2", "Algebra.toModule", "LinearMap.module", "Matrix.kroneckerBilinear._proof_1", "Is...
false
Int.fmod_eq_emod
Init.Data.Int.DivMod.Lemmas
[ "Int.decidableDvd", "_private.Init.Data.Int.DivMod.Lemmas.0.Int.fmod_eq_emod._proof_1_1", "Int.sub_zero", "Eq.mpr", "Int.fdiv_eq_ediv", "Int.instDiv", "Decidable.casesOn", "Dvd.dvd", "instHDiv", "HMul.hMul", "Int.fmod_def", "congrArg", "HSub.hSub", "Decidable", "Int.decLe", "Int.mul_su...
true
_private.Init.Data.String.Basic.0.String.Pos.Raw.offsetOfPosAux._unary._proof_1
Init.Data.String.Basic
[ "String", "Nat.sub_lt_sub_left", "HSub.hSub", "decide_eq_true", "String.utf8ByteSize", "mt", "Nat.gt_of_not_le", "instSubNat", "LE.le", "instLENat", "String.Pos.Raw", "Bool.true", "instHSub", "String.Pos.Raw.atEnd", "Nat", "LT.lt", "String.Pos.Raw.lt_next", "Bool", "instLTNat", ...
false
ContinuousLinearEquiv.toLinearEquiv
Mathlib.Topology.Algebra.Module.Equiv
[ "RingHom", "AddCommMonoid", "RingHomInvPair", "TopologicalSpace", "ContinuousLinearEquiv", "LinearEquiv", "Semiring", "Module", "Semiring.toNonAssocSemiring" ]
true
ProofWidgets.MarkdownDisplay.Props.mk
ProofWidgets.Component.Basic
[ "ProofWidgets.MarkdownDisplay.Props", "String", "ProofWidgets.MarkdownDisplay.Props.mk" ]
true
Batteries.RBNode.Path.zoom_fill
Batteries.Data.RBMap.Alter
[ "Batteries.RBNode", "Batteries.RBNode.Path", "Batteries.RBNode.Path.zoom_fill'", "Batteries.RBNode.Path.fill'", "Ordering", "Batteries.RBNode.zoom", "Eq.rec", "Prod.mk", "Prod", "Eq.symm", "Eq", "Batteries.RBNode.Path.fill" ]
true
CategoryTheory.Presieve.functorPushforward
Mathlib.CategoryTheory.Sites.Sieves
[ "CategoryTheory.Functor", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "CategoryTheory.Presieve", "Exists", "CategoryTheory.Functor.map", "And", "CategoryTheory.CategoryStruct.comp", "CategoryTheory.Category.toCategoryStruct", "Eq", "CategoryTheory.Functor.obj", "CategoryTheory.Cate...
true
SimplexCategory.Truncated.Hom.tr_id
Mathlib.AlgebraicTopology.SimplexCategory.Defs
[ "CategoryTheory.ObjectProperty.FullSubcategory.mk", "SimplexCategory.Truncated.Hom.tr", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "CategoryTheory.CategoryStruct.id", "LE.le", "instLENat", "autoParam", "SimplexCategory.Truncated.Hom.tr_id._auto_1", "Nat", "SimplexCategory", "Categ...
true
ProbabilityTheory.Kernel.densityProcess_empty
Mathlib.Probability.Kernel.Disintegration.Density
[ "Set.instSProd", "Real", "MeasureTheory.Measure", "instHDiv", "Real.instZero", "SProd.sprod", "congrArg", "ENNReal.zero_div", "MeasurableSpace.countablePartitionSet", "ProbabilityTheory.Kernel.instFunLike", "HDiv.hDiv", "MeasureTheory.measure_empty", "Set.prod_empty", "ProbabilityTheory.Ke...
true
Lean.Elab.FVarAliasInfo.mk
Lean.Elab.InfoTree.Types
[ "Lean.FVarId", "Lean.Name", "Lean.Elab.FVarAliasInfo.mk", "Lean.Elab.FVarAliasInfo" ]
true
Monotone.seq_pos_lt_seq_of_le_of_lt
Mathlib.Order.Iterate
[ "OrderDual.toDual", "Preorder.toLT", "Equiv.instEquivLike", "OrderDual.ofDual", "Monotone", "Preorder.toLE", "Function.comp", "Equiv", "instOfNatNat", "LE.le", "instHAdd", "Monotone.dual", "HAdd.hAdd", "Nat", "LT.lt", "instAddNat", "instLTNat", "OrderDual", "OfNat.ofNat", "Orde...
true
_private.Init.Data.Int.DivMod.Lemmas.0.Int.fmod_sub_cancel_left._simp_1_2
Init.Data.Int.DivMod.Lemmas
[ "Dvd.dvd", "Int.dvd_iff_fmod_eq_zero", "Int", "Int.fmod", "Int.instDvd", "instOfNat", "propext", "OfNat.ofNat", "Eq.symm", "Eq" ]
false
Mathlib.Tactic.BicategoryLike.Mor₂.whiskerLeft.inj
Mathlib.Tactic.CategoryTheory.Coherence.Datatypes
[ "Mathlib.Tactic.BicategoryLike.Mor₂", "Lean.Expr", "Mathlib.Tactic.BicategoryLike.Mor₁", "And", "Mathlib.Tactic.BicategoryLike.IsoLift", "And.intro", "Mathlib.Tactic.BicategoryLike.Mor₂.whiskerLeft.noConfusion", "Mathlib.Tactic.BicategoryLike.Mor₂.whiskerLeft", "Eq", "Option" ]
true
Std.DHashMap.Internal.Raw₀.filterₘ
Std.Data.DHashMap.Internal.Model
[ "Std.DHashMap.Raw", "instOfNatNat", "Subtype.mk", "Nat", "Std.DHashMap.Raw.buckets", "LT.lt", "Bool", "Std.DHashMap.Internal.AssocList", "Std.DHashMap.Internal.Raw₀.filterₘ._proof_1", "Std.DHashMap.Internal.withComputedSize", "instLTNat", "OfNat.ofNat", "Subtype.val", "Array.size", "Std....
true
Lean.Elab.Tactic.TacticParsedSnapshot.toSnapshot
Lean.Elab.Term.TermElabM
[ "Lean.Elab.Tactic.TacticParsedSnapshot", "Lean.Language.Snapshot" ]
true
Lean.Lsp.InlayHintKind.casesOn
Lean.Data.Lsp.LanguageFeatures
[ "Lean.Lsp.InlayHintKind.type", "Lean.Lsp.InlayHintKind", "Lean.Lsp.InlayHintKind.parameter", "Lean.Lsp.InlayHintKind.rec" ]
false
_private.Mathlib.AlgebraicTopology.SimplicialSet.StdSimplex.0.SSet.stdSimplex.orderIsoOfNonDegenerate._proof_1
Mathlib.AlgebraicTopology.SimplicialSet.StdSimplex
[ "Opposite", "Equiv.instEquivLike", "SimplexCategory.instFintypeToTypeOrderHomFinHAddNatLenOfNat", "Finset.univ", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "Finset", "PartialOrder.toPreorder", "instDecidableEqFin", "CategoryTheory.Functor.category", "SSet.nonDegenerate", "Membersh...
false
Aesop.LocalRuleSet.forwardRulePatternSubstsInLocalDecl
Aesop.RuleSet
[ "Pure.pure", "Lean.Core.instMonadTraceCoreM", "Aesop.BaseM", "Lean.MessageData", "_private.Aesop.RuleSet.0.Aesop.LocalRuleSet.postprocessPatSubstMap", "Lean.instMonadAlwaysExceptStateRefT'", "Lean.instExceptToTraceResult", "StateRefT'.instAlternativeOfMonad", "Lean.Core.instMonadLiftIOCoreM", "Aes...
true
RingHom.coe_inj
Mathlib.Algebra.Ring.Hom.Defs
[ "RingHom", "NonAssocSemiring", "RingHom.instFunLike", "DFunLike.coe_injective", "Eq", "DFunLike.coe" ]
true
OmegaCompletePartialOrder.Chain.ext
Mathlib.Order.OmegaCompletePartialOrder
[ "OmegaCompletePartialOrder.Chain", "Nat", "OmegaCompletePartialOrder.Chain.instFunLikeNat", "DFunLike.ext'", "Eq", "DFunLike.coe", "Preorder" ]
true
onePointEquivSphereOfFinrankEq._proof_5
Mathlib.Topology.Compactification.OnePoint.Sphere
[ "Real", "AddCommGroup.toAddCommMonoid", "AddCommGroup", "Real.semiring", "Fintype.card", "onePointEquivSphereOfFinrankEq._proof_2", "instOfNatNat", "instHAdd", "Fintype", "HAdd.hAdd", "Nat", "LT.lt", "Iff.mp", "Nonempty", "instAddNat", "instLTNat", "Module", "OfNat.ofNat", "Eq", ...
false
Int.strongRec.eq_1
Mathlib.Data.Int.Basic
[ "Int.strongRec._proof_6", "Int.strongRec", "HSub.hSub", "GE.ge", "Int", "LE.le", "Int.strongRec._proof_2", "dite", "Int.instLTInt", "instHAdd", "instHSub", "instOfNat", "Int.strongRec._proof_4", "HAdd.hAdd", "LT.lt", "Int.instAdd", "Eq.refl", "Int.instSub", "Int.decLt", "Int.in...
true