name
string
module
string
deps
list
allowCompletion
bool
_private.Mathlib.Data.NNReal.Basic.0.NNReal.natCast_iInf._simp_1_1
Mathlib.Data.NNReal.Basic
[ "iInf", "PartialOrder.toPreorder", "ConditionallyCompleteLattice", "Preorder.toLE", "LE.le", "BddBelow", "propext", "Nonempty", "ConditionallyCompletePartialOrderSup.toPartialOrder", "ConditionallyCompleteLattice.toConditionallyCompletePartialOrder", "Set.range", "ConditionallyCompletePartialO...
false
Std.IterM.toArray.go.match_1
Init.Data.Iterators.Consumers.Monadic.Collect
[ "Std.IterStep", "Subtype.casesOn", "Std.IterM.IsPlausibleStep", "Std.IterStep.skip", "Std.Iterator", "Subtype.mk", "Std.IterStep.yield", "Std.IterM.Step", "Std.IterStep.done", "Std.IterM", "Std.IterStep.casesOn" ]
false
AbsoluteValue.IsEquiv.rfl
Mathlib.Analysis.AbsoluteValue.Equivalence
[ "Iff.rfl", "PartialOrder.toPreorder", "Preorder.toLE", "PartialOrder", "LE.le", "AbsoluteValue.funLike", "Semiring", "DFunLike.coe", "AbsoluteValue.IsEquiv", "AbsoluteValue" ]
true
CategoryTheory.GrothendieckTopology.PreservesSheafification.recOn
Mathlib.CategoryTheory.Sites.PreservesSheafification
[ "CategoryTheory.MorphismProperty", "CategoryTheory.Functor", "Opposite", "CategoryTheory.MorphismProperty.instCompleteBooleanAlgebra", "CategoryTheory.GrothendieckTopology.PreservesSheafification", "CategoryTheory.MorphismProperty.inverseImage", "PartialOrder.toPreorder", "CategoryTheory.Functor.categ...
false
Filter.Germ.instInvolutiveInv._proof_1
Mathlib.Order.Filter.Germ.Basic
[ "Filter.Germ.ofFun", "congrArg", "InvolutiveInv.toInv", "Filter.germSetoid", "Pi.involutiveInv", "Function.comp", "Filter.Germ.instInv", "InvolutiveInv", "Inv.inv", "Quotient", "inv_inv", "Filter.Germ", "Quotient.ind'", "Eq", "Filter" ]
false
_private.Mathlib.CategoryTheory.Comma.Over.Basic.0.CategoryTheory.Functor.essImage_overPost.match_1_1
Mathlib.CategoryTheory.Comma.Over.Basic
[ "CategoryTheory.Over", "CategoryTheory.Functor", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "Exists", "CategoryTheory.Iso", "CategoryTheory.Functor.map", "CategoryTheory.Over.left", "Exists.casesOn", "Exists.intro", "CategoryTheory.CategoryStruct.comp", "CategoryTheory.Category.to...
false
CategoryTheory.MorphismProperty.bijective_respectsIso
Mathlib.CategoryTheory.MorphismProperty.Concrete
[ "CategoryTheory.MorphismProperty.instIsMultiplicativeBijective", "CategoryTheory.MorphismProperty.bijective", "CategoryTheory.IsIso", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "Equiv.bijective", "CategoryTheory.Iso.toEquiv", "CategoryTheory.ConcreteCategory", "CategoryTheory.MorphismPr...
true
_private.Mathlib.Algebra.Algebra.Subalgebra.Lattice.0.Algebra.adjoin_insert_adjoin._simp_1_2
Mathlib.Algebra.Algebra.Subalgebra.Lattice
[ "Membership.mem", "Insert.insert", "HasSubset.Subset", "Set.insert_subset_iff", "And", "Set.instInsert", "propext", "Eq", "Set.instMembership", "Set.instHasSubset", "Set" ]
false
Nat.Linear.Expr.noConfusion
Init.Data.Nat.Linear
[ "Nat.Linear.Expr.casesOn", "Nat.Linear.Expr", "Nat.Linear.Var", "Nat", "Eq.ndrec", "Eq.refl", "Nat.Linear.Expr.noConfusionType", "Eq" ]
false
CategoryTheory.compEvaluation
Mathlib.CategoryTheory.Products.Basic
[ "CategoryTheory.Functor.flip", "CategoryTheory.Functor", "CategoryTheory.Functor.category", "CategoryTheory.Functor.comp", "CategoryTheory.Iso.refl", "CategoryTheory.Iso", "CategoryTheory.compEvaluation._proof_2", "CategoryTheory.evaluation", "CategoryTheory.Functor.obj", "CategoryTheory.Category"...
true
Lean.Meta.SynthInstance.Context.mk.inj
Lean.Meta.SynthInstance
[ "Lean.Meta.SynthInstance.Context.mk.noConfusion", "And", "Lean.Meta.SynthInstance.Context.mk", "Lean.Meta.SynthInstance.Context", "Nat", "And.intro", "Eq" ]
true
Algebra.Generators.Hom.casesOn
Mathlib.RingTheory.Extension.Generators
[ "Nat.instMulZeroClass", "AddMonoidAlgebra.semiring", "CommRing", "Algebra.Generators.Ring", "MvPolynomial.aeval", "Algebra.algebraMap", "CommSemiring.toSemiring", "AlgHom", "AlgHom.funLike", "AddMonoidAlgebra.algebra", "Finsupp.instAddMonoid", "Algebra", "Nat.instAddMonoid", "RingHom", "...
false
Polynomial.instGroupGal._aux_4
Mathlib.FieldTheory.PolynomialGaloisGroup
[ "Polynomial.Gal", "Polynomial.SplittingField", "Polynomial.SplittingField.instAlgebra_1", "Field.toSemifield", "Polynomial", "Semifield.toDivisionSemiring", "DivisionSemiring.toSemiring", "Polynomial.SplittingField.instField", "Semifield.toCommSemiring", "AlgEquiv.refl", "Field" ]
false
Std.DTreeMap.Raw.Equiv.minKey!_eq
Std.Data.DTreeMap.Raw.Lemmas
[ "Ord.mk", "Std.DTreeMap.Internal.Impl.Equiv.minKey!_eq", "Ordering", "Std.DTreeMap.Raw.Equiv", "Std.TransCmp", "Std.DTreeMap.Raw.WF.out", "Std.DTreeMap.Raw.inner", "Inhabited", "Std.DTreeMap.Raw.Equiv.inner", "Eq", "Std.DTreeMap.Raw.WF", "Std.DTreeMap.Raw.minKey!", "Std.DTreeMap.Raw" ]
true
Std.Sat.AIG.Decl.atom.noConfusion
Std.Sat.AIG.Basic
[ "Std.Sat.AIG.Decl", "id", "heq_of_eq", "Eq.refl", "HEq", "Std.Sat.AIG.Decl.noConfusion", "Std.Sat.AIG.Decl.atom", "Eq" ]
false
Std.DTreeMap.minKey?_le_minKey?_erase
Std.Data.DTreeMap.Lemmas
[ "Std.DTreeMap", "Std.DTreeMap.isSome_minKey?_of_isSome_minKey?_erase", "Ord.mk", "Option.some", "Ordering", "Eq.rec", "Std.DTreeMap.inner", "Std.TransCmp", "Bool.true", "Option.get", "Option.isSome_some", "Std.DTreeMap.wf", "Std.DTreeMap.minKey?", "Bool", "Std.DTreeMap.Internal.Impl.minK...
true
SimplexCategory.len
Mathlib.AlgebraicTopology.SimplexCategory.Defs
[ "Nat", "SimplexCategory" ]
true
_private.Mathlib.Analysis.Complex.Hadamard.0.Complex.HadamardThreeLines.norm_le_interpStrip_of_mem_verticalStrip_zero._simp_1_3
Mathlib.Analysis.Complex.Hadamard
[ "AddGroup.toSubtractionMonoid", "sub_eq_zero", "HSub.hSub", "SubtractionMonoid.toSubNegZeroMonoid", "SubNegZeroMonoid.toNegZeroClass", "SubNegMonoid.toSub", "AddGroup", "instHSub", "AddGroup.toSubNegMonoid", "propext", "Zero.toOfNat0", "OfNat.ofNat", "NegZeroClass.toZero", "Eq" ]
false
Int.toArray_roo_succ_right_eq_push
Init.Data.Range.Polymorphic.IntLemmas
[ "Array.push", "Std.Rco.toArray", "congrArg", "Std.PRange.instUpwardEnumerableInt", "Int", "Std.PRange.instIsAlwaysFiniteInt_1", "Array", "Int.instLTInt", "instHAdd", "instOfNat", "HAdd.hAdd", "congr", "LT.lt", "True", "Int.toArray_rco_succ_right_eq_push", "eq_self", "of_eq_true", "...
true
OrderDual.instAddCommGroupWithOne._proof_1
Mathlib.Algebra.Order.Ring.Synonym
[ "OrderDual.instNatCast", "AddMonoidWithOne.natCast_zero._autoParam", "AddCommGroupWithOne", "AddMonoid.toZero", "AddGroupWithOne.toAddMonoidWithOne", "AddCommGroup.toAddGroup", "AddMonoidWithOne.toNatCast", "AddCommGroupWithOne.natCast_zero", "instOfNatNat", "NatCast.natCast", "autoParam", "Ad...
false
CategoryTheory.isZero_of_hasProjectiveDimensionLT_zero
Mathlib.CategoryTheory.Abelian.Projective.Dimension
[ "CategoryTheory.Abelian.toPreadditive", "Eq.mpr", "le_refl", "Equiv.instEquivLike", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "congrArg", "CategoryTheory.Abelian.Ext.instAddCommGroup", "CategoryTheory.Abelian", "CategoryTheory.CategoryStruct.id", "id", "Equiv", "SubtractionMono...
true
CategoryTheory.Functor.mapPresheaf._proof_2
Mathlib.Geometry.RingedSpace.PresheafedSpace
[ "CategoryTheory.Functor.op", "CategoryTheory.Functor", "Opposite", "AlgebraicGeometry.PresheafedSpace.carrier", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "TopologicalSpace.Opens.instPartialOrder", "CategoryTheory.CategoryStruct.opposite", "congrArg", "CategoryTheory.ConcreteCategory....
false
_private.Lean.Meta.IndPredBelow.0.Lean.Meta.IndPredBelow.mkBelowAppOfIdx
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", "List.map", "Lean.Expr.const", "Lean.Expr", "Lean.Level.param", "_private.Lean.Meta.IndPredBelow.0.Lean.Meta.IndPredBelow.Context.p...
true
Finset.sum_partition
Mathlib.Algebra.BigOperators.Group.Finset.Basic
[ "Finset", "DecidableRel", "Membership.mem", "Setoid", "Quotient.mk", "AddCommMonoid", "Quotient.decidableEq", "Quotient", "Finset.instSetLike", "Eq.refl", "Eq.symm", "Finset.filter", "Eq", "Finset.image", "Finset.sum_image'", "SetLike.instMembership", "Finset.sum", "Setoid.r" ]
true
_private.Mathlib.AlgebraicTopology.SimplexCategory.Augmented.Basic.0.CategoryTheory.WithInitial.opEquiv.match_15.eq_1
Mathlib.AlgebraicTopology.SimplexCategory.Augmented.Basic
[ "Opposite", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "CategoryTheory.WithInitial.opEquiv.match_15", "CategoryTheory.WithTerminal", "CategoryTheory.WithTerminal.of", "Opposite.op", "CategoryTheory.WithTerminal.star", "CategoryTheory.Category.opposite", "Eq.refl", "CategoryTheory.Ca...
true
_private.Std.Data.DHashMap.Internal.AssocList.Lemmas.0.Std.DHashMap.Internal.AssocList.getKey!.eq_1
Std.Data.DHashMap.Internal.AssocList.Lemmas
[ "panicWithPosWithDecl", "Std.DHashMap.Internal.AssocList.nil", "instOfNatNat", "Std.DHashMap.Internal.AssocList.getKey!", "Nat", "Inhabited", "Eq.refl", "OfNat.ofNat", "BEq", "Eq" ]
true
_private.Mathlib.SetTheory.Ordinal.Basic.0.Ordinal.type_eq_zero_iff_isEmpty.match_1_1
Mathlib.SetTheory.Ordinal.Basic
[ "emptyRelation", "PEmpty", "Nonempty.intro", "RelIso", "Nonempty.casesOn", "Nonempty" ]
false
Rat.instIsTopologicalAddGroup
Mathlib.Topology.Instances.Rat
[ "Rat", "PseudoMetricSpace.toUniformSpace", "inferInstance", "IsUniformAddGroup.to_topologicalAddGroup", "Rat.instIsUniformAddGroup", "MetricSpace.toPseudoMetricSpace", "Rat.instMetricSpace", "Rat.addGroup", "UniformSpace.toTopologicalSpace", "IsTopologicalAddGroup" ]
true
NumberField.mixedEmbedding.norm_eq_zero_iff
Mathlib.NumberTheory.NumberField.CanonicalEmbedding.Basic
[ "NormedCommRing.toNormedRing", "Eq.mpr", "ZeroHom.funLike", "Real", "Finset.univ", "pow_eq_zero_iff", "Real.instZero", "congrArg", "Finset", "_private.Mathlib.NumberTheory.NumberField.CanonicalEmbedding.Basic.0.NumberField.mixedEmbedding.norm_eq_zero_iff._simp_1_3", "NormedDivisionRing.toNormMul...
true
USize.toUInt16_or
Init.Data.UInt.Bitwise
[ "UInt16.toBitVec", "BitVec.setWidth", "USize.toBitVec_toUInt16", "instHOrOfOrOp", "BitVec.setWidth_or", "congrArg", "instOrOpUSize", "USize.toUInt16", "BitVec.instOrOp", "BitVec", "instOfNatNat", "UInt16.toBitVec_or", "System.Platform.numBits", "USize.toBitVec", "HOr.hOr", "UInt16", ...
true
Lean.Meta.SynthInstance.MkTableKey.State.lmap
Lean.Meta.SynthInstance
[ "Lean.Meta.SynthInstance.MkTableKey.State", "Lean.Level", "Std.HashMap", "Lean.instBEqLevelMVarId", "Lean.LMVarId", "Lean.instHashableLevelMVarId" ]
true
AlgebraicIndependent.extendScalars
Mathlib.RingTheory.AlgebraicIndependent.AlgebraicClosure
[ "Subalgebra.instSetLike", "Nontrivial", "Finsupp.instAddZeroClass", "Eq.mpr", "Algebra.IsAlgebraic.isAlgebraic", "AlgEquiv.instEquivLike", "RingHom.instRingHomClass", "SubsemiringClass.nontrivial", "algebraicIndependent_of_finite_type'", "Nat.instMulZeroClass", "AddMonoidAlgebra.semiring", "Co...
true
MulActionHom.toFun
Mathlib.GroupTheory.GroupAction.Hom
[ "SMul", "MulActionHom" ]
true
Lean.Lsp.instFileSourcePlainTermGoalParams
Lean.Server.FileSource
[ "Lean.Lsp.instFileSourceTextDocumentIdentifier", "Lean.Lsp.FileSource.mk", "Lean.Lsp.PlainTermGoalParams.toTextDocumentPositionParams", "Lean.Lsp.TextDocumentIdentifier", "Lean.Lsp.FileSource", "Lean.Lsp.PlainTermGoalParams", "Lean.Lsp.TextDocumentPositionParams.textDocument", "Lean.Lsp.FileSource.fil...
true
Lean.PrefixTreeNode.brecOn_2.go
Lean.Data.PrefixTree
[ "Lean.PrefixTreeNode.below_3", "Std.TreeMap.Raw.mk", "Lean.PrefixTreeNode.below_1", "Lean.PrefixTreeNode", "PProd.mk", "Lean.PrefixTreeNode.Node", "Lean.PrefixTreeNode.below_2", "Ordering", "Std.DTreeMap.Internal.Impl.inner", "Lean.PrefixTreeNode.below", "Std.DTreeMap.Raw.mk", "Std.TreeMap.Raw...
true
AddCommGroup.neg_modEq_neg._simp_1
Mathlib.Algebra.Group.ModEq
[ "AddCommGroup.ModEq", "AddCommGroup.toAddCommMonoid", "AddCommGroup.toAddGroup", "AddCommGroup", "AddCommGroup.neg_modEq_neg", "AddGroup.toSubNegMonoid", "SubNegMonoid.toNeg", "propext", "Eq", "Neg.neg" ]
false
ValuationSubring.algebra._proof_4
Mathlib.RingTheory.Valuation.AlgebraInstances
[ "Int.instAddCommGroup", "Subalgebra.instSetLike", "Int.instAddCommMonoid", "NonAssocSemiring.toAddCommMonoidWithOne", "RingHom.instRingHomClass", "Multiplicative.linearOrder", "Int.instIsStrictOrderedRing", "RingHomClass.toAddMonoidHomClass", "Algebra.algebraMap", "congrArg", "CommSemiring.toSem...
false
_private.Init.Data.Vector.Lemmas.0.Vector.insertIdx_mk._proof_1
Init.Data.Vector.Lemmas
[ "Nat.lt_of_not_le", "False", "Lean.Omega.Constraint.not_sat'_of_isImpossible", "of_decide_eq_true", "le_of_le_of_eq", "Lean.Omega.Constraint.mk", "Lean.Omega.Constraint.combine_sat'", "Int.add_one_le_of_lt", "HSub.hSub", "Lean.Omega.Int.add_congr", "Lean.Omega.LinearCombo.eval", "Option.some",...
false
Lean.Meta.Simp.Simprocs.post
Lean.Meta.Tactic.Simp.Types
[ "Lean.Meta.Simp.SimprocTree", "Lean.Meta.Simp.Simprocs" ]
true
exists_smooth_tsupport_subset
Mathlib.Analysis.Calculus.BumpFunction.FiniteDimension
[ "Filter.instMembership", "InnerProductSpace.toNormedSpace", "Real", "NormedSpace", "Real.denselyNormedField", "Real.instZero", "Real.instRCLike", "NormedSpace.toModule", "PseudoMetricSpace.toUniformSpace", "Membership.mem", "Exists", "nhds", "tsupport", "ContDiff", "Real.normedAddCommGro...
true
congrArg
Init.Prelude
[ "Eq.rec", "Eq", "rfl" ]
true
DoubleQuot.coe_quotQuotEquivQuotOfLEₐ
Mathlib.RingTheory.Ideal.Quotient.Operations
[ "CommRing", "Semiring.toModule", "CommSemiring.toSemiring", "Ideal.Quotient.mk", "RingEquiv.instEquivLike", "AlgHom", "AlgHom.funLike", "PartialOrder.toPreorder", "Algebra", "Preorder.toLE", "RingHom", "Distrib.toAdd", "Ideal.map", "DoubleQuot.quotQuotEquivQuotOfLEₐ", "Ideal.instAlgebraQ...
true
MulRingNormClass
Mathlib.Algebra.Order.Hom.Basic
[ "MulRingNormClass.mk", "outParam", "PartialOrder", "NonAssocRing", "Semiring", "FunLike" ]
true
Finite.bddAbove_range
Mathlib.Data.Fintype.Order
[ "Finite.exists_le", "Finite", "Preorder.toLE", "Membership.mem", "Exists", "upperBounds", "LE.le", "BddAbove", "Exists.casesOn", "IsDirectedOrder", "Exists.intro", "Eq.ndrec", "Nonempty", "Set.range", "Eq", "Set.instMembership", "Preorder", "Set" ]
true
Lean.Elab.Term.MutualClosure.LetRecClosure._sizeOf_1
Lean.Elab.MutualDef
[ "Lean.Elab.Term.MutualClosure.LetRecClosure", "Lean.Syntax._sizeOf_inst", "Lean.Syntax", "Lean.Expr", "instOfNatNat", "Array._sizeOf_inst", "Array", "instHAdd", "HAdd.hAdd", "Nat", "Lean.Elab.Term.MutualClosure.LetRecClosure.rec", "SizeOf.sizeOf", "instAddNat", "Lean.LocalDecl", "Lean.El...
false
_private.Lean.Meta.Tactic.Grind.Arith.Linear.Util.0.Lean.Grind.Linarith.Poly.updateOccs.go
Lean.Meta.Tactic.Grind.Arith.Linear.Util
[ "Inhabited.default", "Lean.Meta.Grind.Arith.Linear.LinearM.Context", "Lean.Meta.Grind.instInhabitedGoalM", "Lean.Grind.Linarith.Var", "Unit", "Lean.Meta.Grind.Arith.Linear.LinearM", "instInhabitedReaderT", "Lean.Meta.Grind.GoalM", "Lean.Grind.Linarith.Poly" ]
true
CategoryTheory.HasLiftingProperty.transfiniteComposition.hasLiftingPropertyFixedBot_ι_app_bot
Mathlib.CategoryTheory.SmallObject.TransfiniteCompositionLifting
[ "CategoryTheory.Functor", "CategoryTheory.Limits.Cocone", "Preorder.toLT", "Order.succ", "CategoryTheory.HasLiftingProperty.transfiniteComposition.hasLift", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "CategoryTheory.CommSq", "LinearOrder", "OrderBot.toBot", "WellFoundedLT", "Parti...
true
ciInf_set_le
Mathlib.Order.ConditionallyCompleteLattice.Indexed
[ "iInf", "PartialOrder.toPreorder", "ConditionallyCompleteLattice", "le_ciSup_set", "Preorder.toLE", "Membership.mem", "Set.Elem", "LE.le", "OrderDual.instConditionallyCompleteLattice", "BddBelow", "Set.image", "ConditionallyCompletePartialOrderSup.toPartialOrder", "ConditionallyCompleteLatti...
true
WithTopology
Mathlib.Topology.Defs.Basic
[ "WithTopology.toTopology", "TopologicalSpace" ]
true
Sigma.preorder
Mathlib.Data.Sigma.Order
[ "Preorder.toLT", "Sigma.instLE_mathlib", "Sigma.preorder._proof_1", "Preorder.toLE", "Preorder.mk", "Sigma.preorder._proof_3", "Sigma.instLT_mathlib", "Sigma.preorder._proof_4", "Sigma", "Preorder" ]
true
_private.Mathlib.Analysis.SpecialFunctions.Trigonometric.ArctanDeriv.0.Real.tendsto_abs_tan_of_cos_eq_zero._simp_1_1
Mathlib.Analysis.SpecialFunctions.Trigonometric.ArctanDeriv
[ "Norm.norm", "Real", "Real.lattice", "abs", "Real.instAddGroup", "Eq.symm", "Eq", "Real.norm_eq_abs", "Real.norm" ]
false
_private.Mathlib.GroupTheory.Perm.Cycle.Concrete.0.Cycle.support_formPerm._simp_1_1
Mathlib.GroupTheory.Perm.Cycle.Concrete
[ "LE.le", "instLENat", "Nat.succ_le_succ_iff", "Nat", "propext", "Nat.succ", "Eq" ]
false
Finset.pow_right_strictMono
Mathlib.Geometry.Group.Growth.LinearLowerBound
[ "_private.Mathlib.Geometry.Group.Growth.LinearLowerBound.0.Finset.pow_right_strictMono._simp_1_1", "MulOne.toOne", "False", "Finset.coe_singleton", "InvOneClass.toOne", "StrictMono", "Subgroup.closure", "DivInvOneMonoid.toInvOneClass", "eq_false", "Monoid.toMulOneClass", "congrArg", "Set.Finit...
true
DistLat.instCategory._proof_2
Mathlib.Order.Category.DistLat
[ "DistLat.Hom.hom'", "_private.Mathlib.Order.Category.DistLat.0.DistLat.Hom.mk", "DistLat.str", "DistribLattice.toLattice", "id", "LatticeHom.comp", "LatticeHom.id", "Eq.refl", "Eq", "DistLat.Hom", "DistLat.carrier", "DistLat" ]
false
Mathlib.Tactic.BicategoryLike.WhiskerLeft.tgtM._unsafe_rec
Mathlib.Tactic.CategoryTheory.Coherence.Normalize
[ "Mathlib.Tactic.BicategoryLike.Mor₂", "Mathlib.Tactic.BicategoryLike.WhiskerLeft.tgtM._unsafe_rec", "Mathlib.Tactic.BicategoryLike.Atom₁", "Mathlib.Tactic.BicategoryLike.HorizontalComp.tgtM", "Mathlib.Tactic.BicategoryLike.Mor₁.of", "Mathlib.Tactic.BicategoryLike.Mor₁", "Mathlib.Tactic.BicategoryLike.Mo...
false
SimplexCategory.Truncated.incl._proof_1
Mathlib.AlgebraicTopology.SimplexCategory.Defs
[ "Preorder.toLE", "LE.le", "instLENat", "Nat.instPreorder", "Nat", "SimplexCategory", "LE.le.trans", "SimplexCategory.len" ]
false
zpow_right_inj₀
Mathlib.Algebra.Order.GroupWithZero.Basic
[ "GroupWithZero.toMonoidWithZero", "Preorder.toLT", "GroupWithZero.toDivisionMonoid", "InvOneClass.toOne", "GroupWithZero.toDivInvMonoid", "DivInvOneMonoid.toInvOneClass", "MulZeroClass.toMul", "LinearOrder", "PartialOrder.toPreorder", "GroupWithZero", "Function.Injective.eq_iff", "DivInvMonoid...
true
_private.Mathlib.Topology.Neighborhoods.0.Filter.Eventually.eventually_nhds.match_1_1
Mathlib.Topology.Neighborhoods
[ "Membership.mem", "Exists", "And.casesOn", "TopologicalSpace", "And", "Exists.casesOn", "And.intro", "Exists.intro", "IsOpen", "Set.instMembership", "Set" ]
false
_private.Mathlib.NumberTheory.RatFunc.Ostrowski.0.RatFunc.uniformizingPolynomial_isUniformizer.match_1_4
Mathlib.NumberTheory.RatFunc.Ostrowski
[ "CommMonoidWithZero.toCommMonoid", "GroupWithZero.toMonoidWithZero", "LinearOrderedCommGroupWithZero.toLinearOrderedCommMonoidWithZero", "RatFunc.uniformizingPolynomial", "InvOneClass.toOne", "DivisionCommMonoid.toDivisionMonoid", "DivInvOneMonoid.toInvOneClass", "Algebra.algebraMap", "CommSemiring....
false
Aesop.BuiltinRules.destructProductsCore
Aesop.BuiltinRules.DestructProducts
[ "Pure.pure", "Aesop.BaseM", "Lean.MonadError.mk", "Lean.instMonadExceptOfExceptionCoreM", "Aesop.ScriptT.run", "StateRefT'.instAlternativeOfMonad", "Lean.instBEqMVarId", "Lean.Core.instMonadLiftIOCoreM", "IO.instMonadLiftSTRealWorldBaseIO", "String", "Lean.Meta.State", "Lean.instAddErrorMessag...
true
Fin.encodeFun_decodeFun
Batteries.Data.Fin.Coding
[ "instPowNat", "Eq.mpr", "instNeZeroNatHAdd_1", "Fin.mk.injEq", "Nat.recAux", "instHDiv", "HMul.hMul", "Fin.casesOn", "Fin.succ", "congrArg", "Fin.encodeFun._proof_1", "Nat.div_add_mod", "Nat.succ_lt_succ", "Nat.zero_lt_succ", "Fin.isLt", "Fin.mk", "id", "Fin.instOfNat", "HDiv.hDi...
true
Lean.Meta.Sym.Internal.mkFVarS
Lean.Meta.Sym.AlphaShareBuilder
[ "Lean.Meta.Sym.Internal.MonadShareCommon", "Lean.Expr", "Lean.FVarId", "Lean.Expr.fvar", "Lean.Meta.Sym.Internal.MonadShareCommon.share1" ]
true
instDiscreteTopologyPEmpty
Mathlib.Topology.Order
[ "DiscreteTopology", "instTopologicalSpacePEmpty", "PEmpty", "TopologicalSpace", "DiscreteTopology.mk", "rfl" ]
true
Set.decidableInsert
Mathlib.Data.Set.Basic
[ "Decidable", "Membership.mem", "Insert.insert", "Set.instInsert", "Set.decidableInsert._aux_1", "Eq", "Set.instMembership", "Set" ]
true
_private.Mathlib.RingTheory.LocalRing.ResidueField.Basic.0.IsLocalRing.ResidueField.instIsScalarTower_1._simp_1
Mathlib.RingTheory.LocalRing.ResidueField.Basic
[ "Algebra.algebraMap", "CommSemiring.toSemiring", "IsScalarTower", "Algebra", "RingHom", "Algebra.toSMul", "CommSemiring", "RingHom.instFunLike", "Semiring", "Eq.symm", "Semiring.toNonAssocSemiring", "Eq", "DFunLike.coe", "IsScalarTower.algebraMap_apply" ]
false
CochainComplex.mappingCone.liftCocycle.congr_simp
Mathlib.Algebra.Homology.HomotopyCategory.MappingCone
[ "HomologicalComplex.instCategory", "CochainComplex.HomComplex.instAddCommGroupCochain", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "CochainComplex.HomComplex.Cochain.comp", "AddCommGroup.toAddCommMonoid", "AddMonoid.toAddZeroClass", "AddGroupWithOne.toAddMonoidWithOne", "AddRightCancelS...
true
_private.Init.Data.BitVec.Bitblast.0.BitVec.fastUmulOverflow._proof_1_20
Init.Data.BitVec.Bitblast
[ "instPowNat", "Lean.Omega.LinearCombo.coordinate_eval_6", "Nat.lt_of_not_le", "False", "Lean.Omega.Constraint.not_sat'_of_isImpossible", "HMul.hMul", "Int.natCast_add", "Lean.Omega.Coeffs.get", "of_decide_eq_true", "le_of_le_of_eq", "Lean.Omega.Constraint.mk", "Lean.Omega.Constraint.combine_sa...
false
_private.Mathlib.CategoryTheory.Preadditive.Biproducts.0.CategoryTheory.Limits.preservesBiproduct_of_preservesCoproduct.match_1_1
Mathlib.CategoryTheory.Preadditive.Biproducts
[ "Nonempty.intro", "Fintype", "Nonempty.casesOn", "Nonempty" ]
false
ProbabilityTheory.condIndep_biSup_compl
Mathlib.Probability.Independence.ZeroOne
[ "StandardBorelSpace", "MeasureTheory.Measure", "MeasurableSpace.instLE", "iSup", "Compl.compl", "MeasureTheory.Measure.trim", "Membership.mem", "CompleteLattice.toConditionallyCompleteLattice", "LE.le", "Set.instCompl", "ProbabilityTheory.CondIndep", "ProbabilityTheory.condExpKernel", "Measu...
true
Monoid.lcm_orderOf_eq_exponent
Mathlib.GroupTheory.Exponent
[ "Iff.mpr", "Finset.mem_univ", "Monoid", "instNormalizedGCDMonoidNat", "Dvd.dvd", "Finset.univ", "Monoid.exponent_dvd", "Monoid.lcm_orderOf_dvd_exponent", "orderOf", "Fintype", "Nat.instDvd", "Nat", "Nat.instCommMonoidWithZero", "Finset.lcm", "Monoid.exponent", "Eq", "Finset.dvd_lcm",...
true
Set.insert_Icc_right_eq_Icc_succ
Mathlib.Order.Interval.Set.SuccPred
[ "Set.ext", "Eq.mpr", "Order.succ", "_private.Mathlib.Order.Interval.Set.SuccPred.0.Set.insert_Icc_right_eq_Icc_succ._simp_1_1", "congrArg", "LinearOrder", "PartialOrder.toPreorder", "Preorder.toLE", "Membership.mem", "SemilatticeInf.toPartialOrder", "DistribLattice.toLattice", "id", "Insert....
true
_private.Mathlib.MeasureTheory.Integral.Average.0.MeasureTheory.setLAverage_const._simp_1_1
Mathlib.MeasureTheory.Integral.Average
[ "MeasurableSet", "Set.univ", "MeasurableSpace", "True", "eq_true", "Eq", "MeasurableSet.univ" ]
false
CochainComplex.mapBifunctorHomologicalComplexShift₂Iso_inv_f_f
Mathlib.Algebra.Homology.BifunctorShift
[ "Int.instAddCommGroup", "CategoryTheory.Limits.HasZeroMorphisms", "CategoryTheory.Functor", "HomologicalComplex.instCategory", "AddLeftCancelSemigroup.toIsLeftCancelAdd", "HomologicalComplex.Hom.f", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "Int.instLinearOrder", "CategoryTheory.Func...
true
Ordinal.ofNat_lt_card._simp_1
Mathlib.SetTheory.Ordinal.Basic
[ "Preorder.toLT", "Ordinal.partialOrder", "Cardinal", "PartialOrder.toPreorder", "AddMonoidWithOne.toNatCast", "Ordinal.addMonoidWithOne", "Ordinal.card", "Cardinal.partialOrder", "Ordinal.ofNat_lt_card", "Nat", "LT.lt", "propext", "OfNat.ofNat", "Eq", "instOfNatAtLeastTwo", "Nat.AtLeas...
false
_private.Std.Tactic.BVDecide.LRAT.Internal.Formula.RupAddResult.0.Std.Tactic.BVDecide.LRAT.Internal.DefaultFormula.nodup_insertRupUnits._proof_1_11
Std.Tactic.BVDecide.LRAT.Internal.Formula.RupAddResult
[ "Prod.mk.inj", "False", "Lean.Grind.nestedProof", "eq_false", "congrArg", "Std.IsLinearPreorder.toIsPreorder", "Lean.Grind.eq_false_of_imp_eq_true", "Std.instReflLeOfIsPreorder", "Lean.Grind.Nat.lt_eq", "Std.le_refl._simp_1", "Eq.mp", "Std.Tactic.BVDecide.LRAT.Internal.DefaultFormula.InsertUni...
false
Equiv.Perm.SameCycle.toList_isRotated
Mathlib.GroupTheory.Perm.Cycle.Concrete
[ "Equiv.Perm.SameCycle.exists_pow_eq_of_mem_support", "Iff.mpr", "Equiv.Perm.instDecidableRelSameCycle", "Eq.mpr", "Equiv.Perm.toList", "Equiv.Perm.support", "MulOne.toOne", "_private.Mathlib.GroupTheory.Perm.Cycle.Concrete.0.Equiv.Perm.SameCycle.toList_isRotated._simp_1_1", "Equiv.instEquivLike", ...
true
Matroid.IsBasis'.contract_isBasis'_sdiff_sdiff_of_subset
Mathlib.Combinatorics.Matroid.Minor.Contract
[ "Eq.mpr", "ChainCompletePartialOrder.instOfCompleteLattice", "and_true", "CompleteBooleanAlgebra.toCompleteDistribLattice", "Set.subset_union_left._simp_1", "congrArg", "and_self", "Matroid.IsBasis'", "_private.Mathlib.Combinatorics.Matroid.Minor.Contract.0.Matroid.IsBasis'.contract_isBasis'_sdiff_s...
true
AddSubgroup.map_iInf
Mathlib.Algebra.Group.Subgroup.Map
[ "Eq.mpr", "iInf", "congrArg", "Set.iInter", "AddSubgroup.instInfSet", "AddMonoid.toAddZeroClass", "Set.InjOn.image_iInter_eq", "Function.comp", "AddZeroClass.toAddZero", "id", "SetLike.coe_injective", "AddSubgroup", "AddGroup", "AddGroup.toSubNegMonoid", "SetLike.coe", "AddSubgroup.ins...
true
MeasureTheory.Integrable.enorm
Mathlib.MeasureTheory.Function.L1Space.Integrable
[ "MeasureTheory.Integrable.aestronglyMeasurable", "Continuous.comp_aestronglyMeasurable", "MeasureTheory.Measure", "continuous_id'", "MeasureTheory.Integrable", "ContinuousENorm", "MeasurableSpace", "TopologicalSpace", "ESeminormedAddMonoid.toContinuousENorm", "ENorm.enorm", "ContinuousENorm.toEN...
true
CategoryTheory.SmallObject.SuccStruct.extendToSuccRestrictionLEIso
Mathlib.CategoryTheory.SmallObject.Iteration.ExtendToSucc
[ "CategoryTheory.Functor", "Order.succ", "CategoryTheory.CategoryStruct.toQuiver", "CategoryTheory.SmallObject.restrictionLE", "Quiver.Hom", "CategoryTheory.SmallObject.SuccStruct.extendToSuccObjIso", "LinearOrder", "PartialOrder.toPreorder", "CategoryTheory.Functor.category", "Preorder.toLE", "M...
true
MvPolynomial.ACounit_surjective
Mathlib.Algebra.MvPolynomial.Counit
[ "Nat.instMulZeroClass", "AddMonoidAlgebra.semiring", "MvPolynomial.ACounit_X", "CommSemiring.toSemiring", "AlgHom", "AlgHom.funLike", "AddMonoidAlgebra.algebra", "Finsupp.instAddMonoid", "MvPolynomial.X", "Algebra", "MvPolynomial.ACounit", "Nat.instAddMonoid", "Algebra.id", "CommSemiring",...
true
Lean.Elab.Tactic.BVDecide.Frontend.Normalize.applyIteSimproc
Lean.Elab.Tactic.BVDecide.Frontend.Normalize.ApplyControlFlow
[ "Pure.pure", "Unit.unit", "instDecidableNot", "Lean.Meta.mkAppOptM", "Lean.mkAppN", "Lean.Meta.Simp.Result.mk", "Lean.Expr.isApp", "ReaderT", "Lean.Meta.Simp.Step", "Lean.Meta.State", "Lean.Expr.cleanupAnnotations", "instMonadLiftT", "Array.back", "Option.some", "Lean.Meta.Simp.MethodsRe...
true
MvPolynomial.support_one
Mathlib.Algebra.MvPolynomial.Basic
[ "Nontrivial", "NonAssocSemiring.toAddCommMonoidWithOne", "Nat.instMulZeroClass", "NeZero.one", "congrArg", "CommSemiring.toSemiring", "Finset", "Classical.propDecidable", "one_ne_zero._simp_1", "AddCommMonoidWithOne.toAddMonoidWithOne", "MvPolynomial.support", "Finset.instEmptyCollection", "...
true
Pi.evalNonUnitalStarAlgHom._proof_5
Mathlib.Algebra.Star.StarAlgHom
[ "Pi.instStarForall", "Pi.evalMulHom", "MulHom.toFun", "Distrib.toMul", "Star", "NonUnitalNonAssocSemiring.toDistrib", "Pi.instMul", "NonUnitalNonAssocSemiring", "Eq", "rfl", "Star.star" ]
false
_private.Lean.Meta.Tactic.Grind.AC.Proof.0.Lean.Meta.Grind.AC.toContextExpr._proof_1
Lean.Meta.Tactic.Grind.AC.Proof
[ "Std.IsLinearPreorder.toIsPreorder", "Std.instReflLeOfIsPreorder", "Std.le_refl._simp_1", "Lean.Expr", "LE.le", "instLENat", "Fin.val", "Array", "Nat", "LT.lt", "Fin.val_lt_of_le", "of_eq_true", "instLTNat", "Fin", "Array.size", "Nat.instIsLinearOrder", "Std.IsLinearOrder.toIsLinearP...
false
CategoryTheory.Limits.Fork.isoForkOfι
Mathlib.CategoryTheory.Limits.Shapes.Equalizers
[ "CategoryTheory.Limits.Fork.ofι", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "CategoryTheory.Limits.WalkingParallelPair", "CategoryTheory.Limits.walkingParallelPairHomCategory", "CategoryTheory.Iso.refl", "CategoryTheory.Limits.Fork.isoForkOfι._proof_2", "CategoryTheory.Iso", "CategoryT...
true
_private.Lean.Server.Rpc.RequestHandling.0.Lean.Server.handleRpcCall.match_3
Lean.Server.Rpc.RequestHandling
[ "Except.ok", "Lean.Server.RpcProcedure", "String", "Except.error", "Except.casesOn", "Except" ]
false
Turing.PartrecToTM2.contStack.eq_def
Mathlib.Computability.TuringMachine.ToPartrec
[ "Eq.mpr", "congrArg", "Turing.PartrecToTM2.contStack._f", "Turing.ToPartrec.Cont.halt", "Turing.ToPartrec.Cont.brecOn", "Turing.ToPartrec.Cont.below", "Turing.ToPartrec.Cont.comp", "Turing.ToPartrec.Cont.fix", "id", "Turing.ToPartrec.Cont", "Turing.ToPartrec.Cont.brecOn.eq", "Turing.PartrecToT...
true
isClopen_range_inl
Mathlib.Topology.Clopen
[ "isClosed_range_inl", "Sum", "Sum.inl", "instTopologicalSpaceSum", "IsClosed", "TopologicalSpace", "And.intro", "IsOpen", "Set.range", "IsClopen", "isOpen_range_inl" ]
true
AlgebraicGeometry.Scheme.IdealSheafData.subschemeι_app
Mathlib.AlgebraicGeometry.IdealSheaf.Subscheme
[ "AlgebraicGeometry.Scheme.Hom.opensFunctor", "AlgebraicGeometry.Scheme.IdealSheafData.subschemeObjIso", "CategoryTheory.Functor.op", "Eq.mpr", "AlgebraicGeometry.IsAffineOpen.isoSpec", "CategoryTheory.Category.assoc", "AlgebraicGeometry.Spec", "AlgebraicGeometry.SheafedSpace.instTopologicalSpaceCarrie...
true
_private.Mathlib.Topology.Algebra.Nonarchimedean.Basic.0.NonarchimedeanRing.mul_subset.match_1_1
Mathlib.Topology.Algebra.Nonarchimedean.Basic
[ "Set.instSProd", "HMul.hMul", "AddGroupWithOne.toAddGroup", "SProd.sprod", "Exists", "HasSubset.Subset", "Prod.fst", "instDistribOfSemiring", "TopologicalSpace", "OpenAddSubgroup", "Exists.casesOn", "SetLike.coe", "Set.preimage", "Distrib.toMul", "OpenAddSubgroup.instSetLike", "Exists....
false
_private.Batteries.Tactic.Lint.Basic.0.Batteries.Tactic.Lint.nolintAttr.match_1
Batteries.Tactic.Lint.Basic
[ "Lean.TSyntax", "Unit.unit", "Option.casesOn", "Option.some", "List.cons", "Array", "Option.none", "Unit", "Lean.SyntaxNodeKind", "Lean.Name.mkStr1", "List.nil", "Option" ]
false
cfc_imaginaryPart._auto_3
Mathlib.Analysis.CStarAlgebra.ContinuousFunctionalCalculus.RealImaginaryPart
[ "Lean.Syntax.node", "Array.push", "Lean.Syntax", "Array.empty", "Lean.SourceInfo.none", "Lean.Name.mkStr1", "Lean.Name.mkStr4", "Lean.mkAtom" ]
false
Algebra.Extension.toBaseChange
Mathlib.RingTheory.Extension.Basic
[ "Algebra.Extension.Hom.mk", "CommRing", "Algebra.to_smulCommClass", "Algebra.Extension.commRing", "CommSemiring.toSemiring", "Algebra.TensorProduct.instCommRing", "Algebra", "Algebra.toModule", "Algebra.id", "Algebra.Extension.Ring", "Algebra.TensorProduct.leftAlgebra", "Algebra.Extension.toBa...
true
_private.Mathlib.Topology.MetricSpace.Thickening.0.Metric.thickening_thickening_subset._simp_1_1
Mathlib.Topology.MetricSpace.Thickening
[ "HasSubset.Subset", "True", "Set.empty_subset", "eq_true", "Set.instEmptyCollection", "EmptyCollection.emptyCollection", "Eq", "Set.instHasSubset", "Set" ]
false
TopCat.instCommRingHomObjTopCommRingCatForget₂SubtypeRingHomαContinuousCoeContinuousMapCarrier._proof_4
Mathlib.Topology.Sheaves.CommRingCat
[ "Continuous", "TopCat.instAddHomObjTopCommRingCatForget₂SubtypeRingHomαContinuousCoeContinuousMapCarrier", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "CommSemiring.toSemiring", "CategoryTheory.ConcreteCategory.hom", "TopCommRingCat.instConcreteCategorySubtypeRingHomαContinuousCoe", "TopCa...
false
FourierInvPair.rec
Mathlib.Analysis.Fourier.Notation
[ "FourierTransform", "FourierInvPair", "FourierTransformInv.fourierInv", "FourierTransform.fourier", "FourierInvPair.mk", "Eq", "FourierTransformInv" ]
false
isGLB_inv
Mathlib.Algebra.Order.Group.Pointwise.Bounds
[ "DivInvOneMonoid.toInvOneClass", "Monoid.toMulOneClass", "OrderIso.inv", "Group", "Preorder.toLE", "Group.toDivisionMonoid", "DivisionMonoid.toDivInvOneMonoid", "OrderIso.isGLB_preimage", "MulLeftMono", "MulOne.toMul", "DivInvMonoid.toMonoid", "MulRightMono", "Group.toDivInvMonoid", "MulOn...
true
NonUnitalCommRing.toNonUnitalCommSemiring._proof_1
Mathlib.Algebra.Ring.Defs
[ "AddMonoid.toAddSemigroup", "NonUnitalNonAssocRing.toAddCommGroup", "AddCommGroup.toAddGroup", "NonUnitalRing.toNonUnitalNonAssocRing", "NonUnitalCommRing", "instHAdd", "AddSemigroup.toAdd", "AddGroup.toSubNegMonoid", "HAdd.hAdd", "NonUnitalCommRing.toNonUnitalRing", "SubNegMonoid.toAddMonoid", ...
false
_private.Mathlib.RingTheory.Polynomial.Eisenstein.IsIntegral.0._aux_Mathlib_RingTheory_Polynomial_Eisenstein_IsIntegral___unexpand_Submodule_span_1
Mathlib.RingTheory.Polynomial.Eisenstein.IsIntegral
[ "Pure.pure", "cond", "Lean.TSyntax", "Unit.unit", "Lean.MonadRef.mkInfoFromRefPos", "Lean.Syntax.matchesIdent", "Lean.Name.mkNum", "instMonadExceptOfMonadExceptOf", "Lean.SourceInfo", "Lean.PrettyPrinter.UnexpandM", "MonadExcept.throw", "Lean.Syntax.isOfKind", "EStateM.instMonad", "Lean.Sy...
false