name
stringlengths
2
347
module
stringlengths
6
90
deps
listlengths
0
692
allowCompletion
bool
2 classes
Lean.Elab.Tactic.BVDecide.Frontend.ReifiedBVLogical.of
Lean.Elab.Tactic.BVDecide.Frontend.BVDecide.Reify
[ "Inhabited.default", "instInhabitedOfMonad", "Lean.Elab.Tactic.BVDecide.Frontend.ReifiedBVLogical", "Lean.Elab.Tactic.BVDecide.Frontend.State", "Lean.Expr", "Lean.Meta.MetaM", "IO.RealWorld", "Lean.Elab.Tactic.BVDecide.Frontend.LemmaState", "Lean.Meta.instMonadMetaM", "instInhabitedOption", "Sta...
true
_private.Mathlib.Algebra.Order.Field.Basic.0.sub_self_div_two._proof_1_1
Mathlib.Algebra.Order.Field.Basic
[ "Nat.instAtLeastTwoHAddOfNat", "instOfNatNat", "instHAdd", "HAdd.hAdd", "Nat.instNeZeroSucc", "Nat", "instAddNat", "OfNat.ofNat", "Nat.AtLeastTwo" ]
false
SimpleGraph.Subgraph.comap_equiv_top
Mathlib.Combinatorics.SimpleGraph.Subgraph
[ "Set.ext", "RelHom.instFunLike", "congrArg", "SimpleGraph.Subgraph", "Set.mem_univ._simp_1", "SimpleGraph.Adj", "SimpleGraph.Hom.map_adj", "Membership.mem", "SimpleGraph.Subgraph.comap", "SimpleGraph.Subgraph.instTop", "SimpleGraph", "iff_self", "SimpleGraph.Subgraph.top_adj._simp_1", "fun...
true
exteriorPower.presentation.Rels
Mathlib.LinearAlgebra.ExteriorPower.Basic
[ "exteriorPower.presentation.Rels.add", "exteriorPower.presentation.Rels.smul", "exteriorPower.presentation.Rels.alt" ]
true
String.Slice.Pattern.Model.IsValidRevSearchFrom.below
Init.Data.String.Lemmas.Pattern.Basic
[ "String.Slice.Pattern.Model.IsValidRevSearchFrom.below.mismatched", "String.Slice.Pattern.SearchStep", "String.Slice", "String.Slice.Pattern.Model.IsValidRevSearchFrom.below.startPos", "String.Slice.Pattern.Model.IsValidRevSearchFrom", "List", "String.Slice.Pattern.Model.IsValidRevSearchFrom.below.match...
true
CategoryTheory.Pretriangulated.Triangle.rotate_mor₂
Mathlib.CategoryTheory.Triangulated.Rotate
[ "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "CategoryTheory.Pretriangulated.Triangle.obj₁", "CategoryTheory.Pretriangulated.Triangle.obj₃", "CategoryTheory.shiftFunctor", "CategoryTheory.Pretriangulated.Triangle.rotate", "Int", "Int.instAddMonoid", "CategoryTheory.Pretriangulated.Triangl...
true
ProofWidgets.RpcEncodablePacket.«_@».ProofWidgets.Presentation.Expr.4196812879._hygCtx._hyg.1.recOn
ProofWidgets.Presentation.Expr
[ "Lean.Json", "ProofWidgets.RpcEncodablePacket._@.ProofWidgets.Presentation.Expr.4196812879._hygCtx._hyg.1", "ProofWidgets.RpcEncodablePacket.mk._@.ProofWidgets.Presentation.Expr.4196812879._hygCtx._hyg.1", "ProofWidgets.RpcEncodablePacket.«_@».ProofWidgets.Presentation.Expr.4196812879._hygCtx._hyg.1.rec" ]
false
ULift.algebra
Mathlib.Algebra.Algebra.Basic
[ "ULift.algebra._proof_2", "MulOne.toOne", "RingHom.mk", "Algebra.algebraMap", "ULift.semiring", "CommSemiring.toSemiring", "ULift.algebra._proof_3", "OneHom.mk", "ULift", "ULift.nonAssocSemiring", "Algebra", "RingHom", "Algebra.toModule", "ULift.add", "Distrib.toAdd", "ULift.algebra._p...
true
CategoryTheory.Triangulated.Octahedron.mk.noConfusion
Mathlib.CategoryTheory.Triangulated.Triangulated
[ "CategoryTheory.Triangulated.Octahedron.mk", "CategoryTheory.Triangulated.Octahedron", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "HEq.refl", "CategoryTheory.Functor.Additive", "CategoryTheory.shiftFunctor", "Membership.mem", "id", "Int", "Int.instAddMonoid", "CategoryTheory.Pretr...
false
_private.Mathlib.NumberTheory.Padics.Hensel.0.newton_seq_deriv_norm
Mathlib.NumberTheory.Padics.Hensel
[ "Polynomial.derivative", "Norm.norm", "Real.instLE", "Real", "Nat.Prime", "Semiring.toModule", "_private.Mathlib.NumberTheory.Padics.Hensel.0.ih_gen", "HMul.hMul", "PadicInt", "_private.Mathlib.NumberTheory.Padics.Hensel.0.newton_seq_gen", "CommSemiring.toSemiring", "AlgHom", "Nat.instMonoid...
true
Std.DTreeMap.Const.getD_insertMany_list_of_contains_eq_false
Std.Data.DTreeMap.Lemmas
[ "Std.DTreeMap", "instForInOfForIn'", "Std.DTreeMap.Const.getD", "List.map", "List.contains", "Ord.mk", "Ordering", "inferInstance", "Std.DTreeMap.inner", "Std.TransCmp", "Id", "Std.DTreeMap.Const.insertMany", "Membership", "Prod.fst", "List", "Std.DTreeMap.Internal.Impl.Const.getD_inse...
true
Equiv.coframe._proof_10
Mathlib.Order.CompleteBooleanAlgebra
[ "Equiv.apply_symm_apply", "Equiv.instEquivLike", "Equiv", "SDiff.sdiff", "Order.Coframe", "CoheytingAlgebra.toGeneralizedCoheytingAlgebra", "Equiv.symm", "Eq", "DFunLike.coe", "GeneralizedCoheytingAlgebra.toSDiff", "EquivLike.toFunLike", "Order.Coframe.toCoheytingAlgebra" ]
false
CategoryTheory.Presieve.Arrows.Compatible.familyOfElements.congr_simp
Mathlib.CategoryTheory.Sites.IsSheafFor
[ "CategoryTheory.Functor", "Opposite", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "Eq.rec", "CategoryTheory.Presieve.Arrows.Compatible", "Opposite.op", "CategoryTheory.types", "Eq.ndrec", "CategoryTheory.Category.opposite", "Eq.refl", "CategoryTheory.Category.toCategoryStruct", "...
true
MeasureTheory.OuterMeasure.mkMetric'
Mathlib.MeasureTheory.Measure.Hausdorff
[ "Preorder.toLT", "iSup", "MeasureTheory.OuterMeasure.instSupSet", "PartialOrder.toPreorder", "MeasureTheory.OuterMeasure", "EMetricSpace", "GT.gt", "MeasureTheory.OuterMeasure.mkMetric'.pre", "ENNReal", "ENNReal.instPartialOrder", "Zero.toOfNat0", "ENNReal.instZero", "OfNat.ofNat", "Set" ]
true
BitVec.instTransOrd
Init.Data.Ord.BitVec
[ "Std.TransOrd.compareOfLessAndEq_of_antisymm_of_trans_of_total_of_not_le", "instDecidableLtBitVec", "instDecidableLeBitVec", "Std.TransOrd", "instOrdBitVec", "BitVec", "instDecidableEqBitVec", "BitVec.le_antisymm", "BitVec.le_trans", "instLTBitVec", "Nat", "BitVec.not_le", "BitVec.le_total",...
true
Fin.preimage_rev_Ioo
Mathlib.Order.Interval.Set.Fin
[ "Set.ext", "Preorder.toLT", "congrArg", "_private.Mathlib.Order.Interval.Set.Fin.0.Fin.preimage_rev_Ioo._simp_1_2", "PartialOrder.toPreorder", "Membership.mem", "Set.mem_preimage._simp_1", "iff_self", "_private.Mathlib.Order.Interval.Set.Fin.0.Fin.preimage_rev_Ioo._simp_1_1", "And", "Iff", "Fi...
true
Lean.Compiler.LCNF.Simp.State.mk.sizeOf_spec
Lean.Compiler.LCNF.Simp.SimpM
[ "Lean.instBEqFVarId", "Lean.Compiler.LCNF.Arg", "Std.HashMap._sizeOf_inst", "Lean.Compiler.LCNF.Arg._sizeOf_inst", "Lean.Compiler.LCNF.Renaming", "instSizeOfDefault", "Lean.FVarId._sizeOf_inst", "Lean.FVarId", "Lean.Compiler.LCNF.Simp.FunDeclInfoMap", "instOfNatNat", "Lean.Compiler.LCNF.Simp.Fun...
true
Lean.Language.Lean.HeaderProcessedState.casesOn
Lean.Language.Lean.Types
[ "Lean.Language.Lean.HeaderProcessedState", "Lean.Language.SnapshotTask", "Lean.Elab.Command.State", "Lean.Language.Lean.HeaderProcessedState.rec", "Lean.Language.Lean.CommandParsedSnapshot", "Lean.Language.Lean.HeaderProcessedState.mk" ]
false
Nat.map_add_toArray_roc
Init.Data.Range.Polymorphic.NatLemmas
[ "Std.Rco", "_private.Init.Data.Range.Polymorphic.NatLemmas.0.Nat.map_add_toArray_roc._proof_1_1", "Std.Rco.toArray", "congrArg", "Array.map", "Std.PRange.instIsAlwaysFiniteNat_1", "instOfNatNat", "instLENat", "Array", "instHAdd", "HAdd.hAdd", "Nat.toArray_roc_eq_toArray_rco", "Std.PRange.ins...
true
Lean.Grind.decide_eq_false
Init.Grind.Lemmas
[ "False", "iff_false", "Decidable", "eq_iff_iff._simp_1", "imp_self._simp_1", "Iff", "implies_congr", "decide_eq_false_iff_not._simp_1", "True", "Bool", "of_eq_true", "Bool.false", "Decidable.decide", "Eq", "Not", "Eq.trans" ]
true
CategoryTheory.Bicategory.Pith.pseudofunctorToPithCompInclusionStrongIsoHom._proof_6
Mathlib.CategoryTheory.Bicategory.LocallyGroupoid
[ "CategoryTheory.Category.assoc", "CategoryTheory.Iso.inv_hom_id", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "CategoryTheory.Bicategory.whiskerLeft_comp", "CategoryTheory.Bicategory.whiskerRight_id", "congrArg", "CategoryTheory.Bicategory.comp_whiskerRight", "CategoryTheory.Bicategory.r...
false
CategoryTheory.Functor.isRightAdjoint_comp
Mathlib.CategoryTheory.Adjunction.Basic
[ "CategoryTheory.Functor", "CategoryTheory.Functor.comp", "CategoryTheory.Functor.IsRightAdjoint", "Nonempty.intro", "CategoryTheory.Functor.leftAdjoint", "Exists.intro", "Nonempty", "CategoryTheory.Functor.IsRightAdjoint.mk", "CategoryTheory.Adjunction", "CategoryTheory.Adjunction.comp", "Catego...
true
alternatingGroup.normal
Mathlib.GroupTheory.SpecificGroups.Alternating
[ "Equiv.Perm.sign", "Units", "Int", "Int.instMonoid", "Equiv.Perm.permGroup", "Fintype", "Equiv.Perm", "MonoidHom.normal_ker", "alternatingGroup", "Subgroup.Normal", "Units.instMulOneClass", "DecidableEq" ]
true
SemimoduleCat.MonoidalCategory.associator
Mathlib.Algebra.Category.ModuleCat.Monoidal.Basic
[ "SemimoduleCat.isModule", "SemimoduleCat.moduleCategory", "SemimoduleCat.MonoidalCategory.tensorObj", "SemimoduleCat.isAddCommMonoid", "CommSemiring.toSemiring", "TensorProduct.addCommMonoid", "CategoryTheory.Iso", "SemimoduleCat", "SemimoduleCat.carrier", "CommSemiring", "TensorProduct.assoc", ...
true
AddUnits.val_zero
Mathlib.Algebra.Group.Units.Defs
[ "AddUnits.instZero", "AddUnits.val", "AddMonoid.toAddZeroClass", "AddZeroClass.toAddZero", "AddZero.toZero", "AddMonoid", "Zero.toOfNat0", "OfNat.ofNat", "Eq", "rfl", "AddUnits" ]
true
Std.TreeSet.foldr_eq_foldr_toArray
Std.Data.TreeSet.Lemmas
[ "Std.TreeSet", "List.foldr_toArray'", "Std.TreeSet.toList", "congrArg", "Ordering", "instOfNatNat", "Std.TreeSet.toArray", "List.toArray", "Array", "Array.foldr", "_private.Std.Data.TreeSet.Lemmas.0.Std.TreeSet.foldr_eq_foldr_toArray._simp_1_1", "List.size_toArray", "Std.TreeSet.foldr_eq_fol...
true
StalkSkyscraperPresheafAdjunctionAuxs.fromStalk._proof_2
Mathlib.Topology.Sheaves.Skyscraper
[ "CategoryTheory.Functor.op", "Opposite", "TopologicalSpace.Opens.instPartialOrder", "PartialOrder.toPreorder", "Decidable", "TopologicalSpace.Opens", "Membership.mem", "Preorder.smallCategory", "if_pos", "TopologicalSpace.Opens.instSetLike", "TopCat.str", "TopologicalSpace.OpenNhds.partialOrde...
false
Stream'.Seq.Corec.f.match_1
Mathlib.Data.Seq.Defs
[ "Unit.unit", "Option.casesOn", "Option.some", "Option.none", "Unit", "Option" ]
false
RCLike.re_eq_complex_re
Mathlib.Analysis.Complex.Basic
[ "Real", "AddMonoid.toAddSemigroup", "Real.instAddMonoid", "AddMonoid.toAddZeroClass", "AddMonoid.toZero", "NormedField.toField", "AddZeroClass.toAddZero", "Complex.instRCLike", "Field.toCommRing", "RCLike.toDenselyNormedField", "Complex.re", "AddSemigroup.toAdd", "RCLike.re", "AddCommMonoi...
true
_private.Mathlib.Lean.Expr.Basic.0.Lean.ConstantInfo.isDef.match_1
Mathlib.Lean.Expr.Basic
[ "Lean.ConstantInfo.defnInfo", "Nat.hasNotBit", "_private.Mathlib.Lean.Expr.Basic.0.Lean.ConstantInfo.isDef._sparseCasesOn_1", "Lean.ConstantInfo.ctorIdx", "Lean.ConstantInfo", "Lean.DefinitionVal" ]
false
Aesop.GoalData.lastExpandedInIteration
Aesop.Tree.Data
[ "Aesop.GoalData", "Aesop.Iteration" ]
true
isCycle_finRotate_of_le
Mathlib.GroupTheory.Perm.Fin
[ "Eq.mpr", "Nat.instCanonicallyOrderedAdd", "congrArg", "Exists", "id", "instOfNatNat", "LE.le", "instLENat", "CanonicallyOrderedAdd.toExistsAddOfLE", "finRotate", "add_comm", "ExistsAddOfLE.exists_add_of_le", "instHAdd", "Exists.casesOn", "HAdd.hAdd", "Nat", "Equiv.Perm.IsCycle", "...
true
Lean.Grind.CommRing.Expr.toPolyC.go._unsafe_rec
Init.Grind.Ring.CommSolver
[ "cond", "instPowNat", "Lean.Grind.CommRing.Poly.combineC", "Lean.Grind.CommRing.Poly.mulC", "Lean.Grind.CommRing.Mon.mult", "Lean.Grind.CommRing.Poly", "Lean.Grind.CommRing.Expr", "Lean.Grind.CommRing.Expr.toPolyC.go.match_1", "Lean.Grind.CommRing.Expr.toPolyC.go._unsafe_rec", "Lean.Grind.CommRing...
false
OpenPartialHomeomorph.contDiff_unitBallBall
Mathlib.Analysis.InnerProductSpace.Calculus
[ "InnerProductSpace.toNormedSpace", "Real", "instHSMul", "NormedSpace.toIsBoundedSMul", "UniformContinuousConstSMul.to_continuousConstSMul", "contDiff_id", "Real.denselyNormedField", "Real.instZero", "Real.instRCLike", "DistribMulAction.toDistribSMul", "AddCommGroup.toAddCommMonoid", "NormedSpa...
true
Algebra.RingHom.adjoinAlgebraMap.congr_simp
Mathlib.RingTheory.Adjoin.Singleton
[ "Subalgebra.instSetLike", "Algebra.algebraMap", "CommSemiring.toSemiring", "IsScalarTower", "Algebra", "Algebra.adjoin", "RingHom", "Algebra.toSMul", "Membership.mem", "Set.instSingletonSet", "Subtype", "CommSemiring", "RingHom.instFunLike", "Eq.refl", "Algebra.RingHom.adjoinAlgebraMap",...
true
EReal.coe_zsmul
Mathlib.Data.EReal.Operations
[ "Real", "instHSMul", "AddMonoidHom.instAddMonoidHomClass", "Real.instAddMonoid", "EReal.coe_neg", "AddMonoid.toAddZeroClass", "EReal", "AddZeroClass.toAddZero", "AddMonoidHom.mk", "Real.instAddGroup", "EReal.coe_zero", "map_zsmul'", "Int", "SubNegZeroMonoid.toSubNegMonoid", "ZeroHom.mk",...
true
Std.Roc.toList_toArray
Init.Data.Range.Polymorphic.Lemmas
[ "Std.Rxc.Iterator", "_private.Init.Data.Range.Polymorphic.Lemmas.0.Std.Roc.Internal.toList_eq_toList_iter", "Std.PRange.UpwardEnumerable", "congrArg", "Std.Roc.toList", "Std.Rxc.instIteratorIteratorIdOfUpwardEnumerableOfDecidableLE", "Std.Iter.toArray", "Array.toList", "LE", "Array", "List", "...
true
_private.Mathlib.Logic.Relation.0.Relation.map_onFun_map_eq_map._proof_1_2
Mathlib.Logic.Relation
[ "Lean.Grind.of_eq_eq_true", "Lean.Grind.eq_false_of_not_eq_true", "of_eq_false", "False", "forall_not_of_not_exists", "Lean.Grind.not_not", "Lean.Grind.not_and", "eq_false", "congrArg", "Relation.Map.eq_1", "Classical.byContradiction", "Lean.Grind.eq_false_of_imp_eq_true", "Exists", "Eq.mp...
false
PairReduction.edist_le_of_mem_pairSet
Mathlib.Topology.EMetricSpace.PairReduction
[ "ENNReal.instCanonicallyOrderedAdd", "dite_cond_eq_true", "ENNReal.instIsOrderedRing", "MulOne.toOne", "le_refl", "Finset.mem_range._simp_1", "PseudoEMetricSpace.toWeakPseudoEMetricSpace", "Preorder.toLT", "HMul.hMul", "ENNReal.instAddCommMonoid", "IsOrderedRing.toZeroLEOneClass", "instDecidab...
true
_private.Mathlib.Tactic.TacticAnalysis.0.Mathlib.TacticAnalysis.testTacticSeq._sparseCasesOn_9
Mathlib.Tactic.TacticAnalysis
[ "Nat.ne_of_beq_eq_false", "Nat.shiftRight", "Nat.hasNotBit", "instOfNatNat", "List.rec", "List.cons", "Nat.land", "List", "Nat", "Bool", "Eq.refl", "OfNat.ofNat", "Bool.false", "List.ctorIdx", "List.nil" ]
false
AlgebraicGeometry.PresheafedSpace.Hom.mk._flat_ctor
Mathlib.Geometry.RingedSpace.PresheafedSpace
[ "AlgebraicGeometry.PresheafedSpace.Hom", "AlgebraicGeometry.PresheafedSpace.carrier", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "TopCat.instCategory", "TopCat.instCategoryPresheaf", "AlgebraicGeometry.PresheafedSpace.Hom.mk", "TopCat.Presheaf", "AlgebraicGeometry.PresheafedSpace.preshe...
false
Lean.Grind.ToInt.wrap_toInt
Init.Grind.ToInt
[ "Eq.mpr", "Lean.Grind.ToInt.toInt_mem", "Lean.Grind.ToInt.toInt", "congrArg", "Lean.Grind.IntInterval.instMembershipInt", "Membership.mem", "id", "Int", "Lean.Grind.IntInterval.wrap", "Lean.Grind.IntInterval.nonEmpty_of_mem", "Lean.Grind.IntInterval.wrap_eq_self_iff", "propext", "Eq", "Lea...
true
Language.isRegular_iff_finite_range_leftQuotient
Mathlib.Computability.MyhillNerode
[ "Set.Finite", "Language.IsRegular.of_finite_range_leftQuotient", "Language.leftQuotient", "List", "Iff", "Iff.intro", "Language.IsRegular.finite_range_leftQuotient", "Set.range", "Language.IsRegular", "Language" ]
true
_private.Lean.Widget.InteractiveGoal.0.Lean.Widget.withGoalCtx.match_1
Lean.Widget.InteractiveGoal
[ "Option.ctorIdx", "Option.some", "Nat.hasNotBit", "_private.Lean.Widget.InteractiveGoal.0.Lean.Widget.withGoalCtx._sparseCasesOn_1", "Lean.MetavarDecl", "Option" ]
false
Lean.Meta.DiagSummary._sizeOf_inst
Lean.Meta.Diagnostics
[ "SizeOf.mk", "Lean.Meta.DiagSummary", "SizeOf", "Lean.Meta.DiagSummary._sizeOf_1" ]
false
UInt16.neg_neg
Init.Data.UInt.Lemmas
[ "UInt16.toBitVec", "BitVec", "instOfNatNat", "UInt16", "instNegUInt16", "Nat", "BitVec.neg_neg", "Iff.mp", "OfNat.ofNat", "UInt16.toBitVec_inj", "Eq", "Neg.neg" ]
true
Lean.Meta.Match.MatcherInfo.noConfusion
Lean.Meta.Match.MatcherInfo
[ "Lean.Meta.Match.AltParamInfo", "Lean.Meta.Match.MatcherInfo.noConfusionType", "Lean.Meta.Match.Overlaps", "Lean.Meta.Match.MatcherInfo", "Array", "Nat", "Eq.ndrec", "Eq.refl", "Eq", "Lean.Meta.Match.DiscrInfo", "Lean.Meta.Match.MatcherInfo.casesOn", "Option" ]
false
CategoryTheory.MonoidalCoherence.right'_iso
Mathlib.Tactic.CategoryTheory.MonoidalComp
[ "CategoryTheory.MonoidalCoherence.iso", "CategoryTheory.MonoidalCategoryStruct.rightUnitor", "CategoryTheory.MonoidalCategory", "CategoryTheory.MonoidalCoherence", "CategoryTheory.Iso", "CategoryTheory.MonoidalCategoryStruct.tensorObj", "CategoryTheory.Iso.trans", "CategoryTheory.Iso.symm", "Categor...
true
Lean.Parser.Command.macroArg.parenthesizer
Lean.Parser.Syntax
[ "Lean.Parser.optional.parenthesizer", "Lean.Parser.withCache.parenthesizer", "Lean.Parser.mkAntiquot.parenthesizer", "Lean.Parser.ident.parenthesizer", "Lean.PrettyPrinter.Parenthesizer", "instOfNatNat", "Lean.PrettyPrinter.Parenthesizer.atomic.parenthesizer", "Lean.PrettyPrinter.Parenthesizer.leading...
true
Array.Matcher.Iterator.noConfusion
Batteries.Data.Array.Match
[ "Array.Matcher.Iterator.noConfusionType", "Array.Matcher.table", "HEq.refl", "instOfNatNat", "Std.Iterator", "instHAdd", "HAdd.hAdd", "Nat", "eq_of_heq", "Eq.ndrec", "Array.Matcher", "instAddNat", "Array.Matcher.Iterator", "HEq", "Std.IterM", "Array.PrefixTable.size", "OfNat.ofNat", ...
false
SSet.Truncated.liftOfStrictSegal.spineEquiv_f₂_arrow_one
Mathlib.AlgebraicTopology.SimplicialSet.NerveAdjunction
[ "SimplexCategory.mkOfSucc_eq_id", "CategoryTheory.SimplicialObject.Truncated.trunc._proof_2", "CategoryTheory.ObjectProperty.FullSubcategory.mk", "Equiv.apply_symm_apply", "SSet.Truncated.StrictSegal", "Opposite", "Equiv.instEquivLike", "SimplexCategory.Truncated.Hom.tr._auto_3", "Quiver.opposite", ...
true
_private.Aesop.Forward.LevelIndex.0.Aesop.instHashableLevelIndex.hash.match_1
Aesop.Forward.LevelIndex
[ "Aesop.LevelIndex.mk", "Aesop.LevelIndex", "Nat", "Aesop.LevelIndex.casesOn" ]
false
Set.Icc_subset_Icc_union_Icc
Mathlib.Order.Interval.Set.LinearOrder
[ "Set.Ioc", "Set.Subset.trans", "LinearOrder", "Set.Icc_subset_Icc_union_Ioc", "PartialOrder.toPreorder", "Set.Ioc_subset_Icc_self", "SemilatticeInf.toPartialOrder", "Set.instUnion", "Set.union_subset_union_right", "DistribLattice.toLattice", "HasSubset.Subset", "Set.Icc", "Union.union", "i...
true
CoheytingHom.id._proof_2
Mathlib.Order.Heyting.Hom
[ "Lattice.toSemilatticeSup", "SupHom.toFun", "SemilatticeSup.toMax", "CoheytingAlgebra", "SDiff.sdiff", "LatticeHom.id", "CoheytingAlgebra.toGeneralizedCoheytingAlgebra", "GeneralizedCoheytingAlgebra.toLattice", "LatticeHom.toSupHom", "Eq", "GeneralizedCoheytingAlgebra.toSDiff", "rfl" ]
false
Lean.Elab.Term.Do.ToTerm.Context.rec
Lean.Elab.Do.Legacy
[ "Lean.Syntax", "Lean.Elab.Term.Do.Var", "Lean.Elab.Term.Do.ToTerm.Context.mk", "Array", "Lean.Elab.Term.Do.ToTerm.Context", "Lean.Elab.Term.Do.ToTerm.Kind" ]
false
_private.Lean.Meta.Tactic.Grind.Internalize.0.Lean.Meta.Grind.internalizePattern.go._sparseCasesOn_1
Lean.Meta.Tactic.Grind.Internalize
[ "Nat.ne_of_beq_eq_false", "Nat.shiftRight", "Lean.Syntax", "Lean.FVarId", "Nat.hasNotBit", "instOfNatNat", "Lean.Meta.Grind.Origin.ctorIdx", "Nat.land", "Lean.Meta.Grind.Origin.fvar", "Lean.Meta.Grind.Origin", "Nat", "Lean.Meta.Grind.Origin.local", "Bool", "Lean.Name", "Eq.refl", "Lean...
false
variationOnFromTo
Mathlib.Topology.EMetricSpace.BoundedVariation
[ "Real", "LinearOrder", "PartialOrder.toPreorder", "Preorder.toLE", "SemilatticeInf.toPartialOrder", "LinearOrder.toDecidableLE", "DistribLattice.toLattice", "LE.le", "Set.instInter", "eVariationOn", "PseudoEMetricSpace", "Inter.inter", "ENNReal.toReal", "Set.Icc", "Real.instNeg", "inst...
true
Lean.Parser.Category.prec
Init.Notation
[ "Lean.Parser.Category.mk", "Lean.Parser.Category" ]
true
Aesop.runFirstNormRule
Aesop.Search.Expansion.Norm
[ "Pure.pure", "Aesop.BaseM", "Aesop.NormRuleResult", "Lean.instBEqMVarId", "instForInOfForIn'", "ReaderT", "Aesop.NormM", "Aesop.IndexMatchResult", "Array.instMembership", "Option.some", "ForInStep.done", "Lean.MVarId", "ReaderT.instMonad", "MProd.snd", "inferInstance", "Lean.Meta.MetaM...
true
FundamentalGroupoid.nonempty_iff._simp_1
Mathlib.AlgebraicTopology.FundamentalGroupoid.Basic
[ "FundamentalGroupoid.nonempty_iff", "FundamentalGroupoid", "propext", "Nonempty", "Eq" ]
false
String.Slice.foldl_eq_foldl_toList
Init.Data.String.Lemmas.Iterate
[ "Pure.pure", "String.Slice.PosIterator", "Eq.mpr", "String.Slice.foldl", "congrArg", "Monad.toApplicative", "Std.Iterators.Types.Map.instIterator", "MonadLiftT.monadLift", "Std.Iterators.Types.Map.instFinite", "Std.instLawfulIteratorLoopDefaultImplementation", "instMonadLiftT", "String.Slice",...
true
Nat.perfect_iff_sum_properDivisors
Mathlib.NumberTheory.Divisors
[ "and_iff_left", "instOfNatNat", "Nat.properDivisors", "Iff", "Nat", "LT.lt", "Nat.Perfect", "Nat.instAddCommMonoid", "instLTNat", "OfNat.ofNat", "Eq", "Finset.sum" ]
true
ContDiffAt.hasStrictDerivAt
Mathlib.Analysis.Calculus.ContDiff.RCLike
[ "ContDiffAt", "NormedCommRing.toSeminormedCommRing", "NormedSpace.toIsBoundedSMul", "NormedSpace", "CommSemiring.toSemiring", "DistribMulAction.toDistribSMul", "AddCommGroup.toAddCommMonoid", "deriv", "NormedSpace.toModule", "AddMonoid.toAddZeroClass", "PseudoMetricSpace.toUniformSpace", "AddC...
true
Lean.Grind.Linarith.zero_ne_one_of_charC
Init.Grind.Ordered.Linarith
[ "Lean.Grind.Linarith.Poly.denote", "Int.cast", "Eq.mpr", "False", "instHSMul", "of_decide_eq_true", "Int.emod_eq_of_lt", "congrArg", "Lean.Grind.Linarith.Context", "Lean.Grind.Linarith.Poly.denote'", "Decidable.decide.congr_simp", "False.elim", "Lean.Grind.IntModule.toNatModule", "eq_false...
true
Nonneg.zero._proof_1
Mathlib.Algebra.Order.Nonneg.Basic
[ "le_rfl", "Preorder.toLE", "LE.le", "Zero.toOfNat0", "OfNat.ofNat", "Preorder", "Zero" ]
false
PadicInt.nonarchimedean
Mathlib.NumberTheory.Padics.PadicIntegers
[ "Norm.norm", "Real.instLE", "Real", "Nat.Prime", "Subring.instSetLike", "PadicInt", "CommSemiring.toSemiring", "instCommRingPadic", "Membership.mem", "Fact", "Distrib.toAdd", "PadicInt.instCommRing", "LE.le", "CommRing.toNonAssocCommRing", "instDistribOfSemiring", "instHAdd", "CommRi...
true
_private.Mathlib.Algebra.Module.Presentation.Basic.0.Module.Relations.Solution.surjective_fromQuotient_iff_surjective_π._simp_1_1
Mathlib.Algebra.Module.Presentation.Basic
[ "Semiring.toModule", "Finsupp.module", "Ring.toNonAssocRing", "Module.Relations.Quotient", "AddCommGroup.toAddCommMonoid", "Module.Relations.instAddCommGroupQuotient", "Module.Relations.toQuotient", "AddCommGroup", "NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring", "Module.Relations.Solution", ...
false
EisensteinSeries.isLittleO_const_left_of_properSpace_of_discreteTopology
Mathlib.NumberTheory.ModularForms.EisensteinSeries.Summable
[ "Norm.norm", "Eq.mpr", "Real", "congrArg", "DiscreteTopology", "Topology.IsClosedEmbedding.id", "PseudoMetricSpace.toUniformSpace", "Function.comp", "id", "Real.normedAddCommGroup", "SubtractionMonoid.toSubNegZeroMonoid", "ProperSpace", "SubNegZeroMonoid.toNegZeroClass", "norm_norm", "Su...
true
_private.Mathlib.NumberTheory.FLT.Basic.0.fermatLastTheoremWith_of_fermatLastTheoremWith_coprime._simp_1_1
Mathlib.NumberTheory.FLT.Basic
[ "HMul.hMul", "MulZeroClass.toMul", "MulZeroClass", "Ne", "And", "NoZeroDivisors", "propext", "Zero.toOfNat0", "OfNat.ofNat", "Eq", "MulZeroClass.toZero", "mul_ne_zero_iff", "instHMul" ]
false
Int.toArray_roo_eq_singleton
Init.Data.Range.Polymorphic.IntLemmas
[ "Int.toArray_roo_eq_singleton_iff._simp_1", "congrArg", "and_self", "Std.PRange.instUpwardEnumerableInt", "Int", "Std.Roo.toArray.congr_simp", "List.toArray", "List.cons", "Std.PRange.instIsAlwaysFiniteInt_1", "Array", "Int.instLTInt", "instHAdd", "And", "instOfNat", "HAdd.hAdd", "cong...
true
Quaternion.instIsStarNormal
Mathlib.Algebra.Quaternion
[ "NegZeroClass.toNeg", "CommRing", "IsStarNormal", "_private.Mathlib.Algebra.Quaternion.0.Quaternion.instIsStarNormal._proof_1", "CommSemiring.toSemiring", "AddGroupWithOne.toAddMonoidWithOne", "SubtractionMonoid.toSubNegZeroMonoid", "SubNegZeroMonoid.toNegZeroClass", "SubtractionCommMonoid.toSubtrac...
true
Lean.Widget.TaggedText.forM._unsafe_rec
Lean.Widget.TaggedText
[ "Pure.pure", "Unit.unit", "Monad.toApplicative", "String", "Lean.Widget.TaggedText.forM._unsafe_rec", "instOfNatNat", "Applicative.toPure", "Lean.Widget.TaggedText", "Array", "Unit", "_private.Lean.Widget.TaggedText.0.Lean.Widget.instReprTaggedText.repr.match_1", "Array.forM", "Nat", "Mona...
false
Equiv.Set.rangeInl.match_3
Mathlib.Logic.Equiv.Set
[ "HEq.refl", "Subtype.casesOn", "Membership.mem", "Set.Elem", "Sum", "Eq.casesOn", "Sum.inl", "Subtype.mk", "Exists.casesOn", "Exists.intro", "eq_of_heq", "Eq.ndrec", "Eq.refl", "HEq", "Set.range", "Eq.symm", "Eq", "Set.instMembership", "Set" ]
false
Aesop.Subgoal.diff
Aesop.RuleTac.Basic
[ "Aesop.Subgoal", "Aesop.GoalDiff" ]
true
Metric.Snowflaking.isBounded_image_ofSnowflaking_iff._simp_1
Mathlib.Topology.MetricSpace.Snowflaking
[ "Real.instLE", "Real", "Equiv.instEquivLike", "Real.instZero", "Real.instLT", "Metric.Snowflaking.isBounded_image_ofSnowflaking_iff", "Metric.Snowflaking.instBornology", "Equiv", "Bornology.IsBounded", "LE.le", "Real.instOne", "LT.lt", "propext", "One.toOfNat1", "Zero.toOfNat0", "Set.i...
false
HopfAlgCat.instMonoidalCategoryStruct
Mathlib.Algebra.Category.HopfAlgCat.Monoidal
[ "CategoryTheory.MonoidalCategoryStruct", "BialgEquiv.toHopfAlgIso", "CommRing", "Semiring.toModule", "HopfAlgebraStruct.toBialgebra", "CategoryTheory.CategoryStruct.toQuiver", "Ring.toNonAssocRing", "Quiver.Hom", "CommSemiring.toSemiring", "HopfAlgCat.instMonoidalCategoryStruct._proof_2", "Tenso...
true
Continuous.of_neg
Mathlib.Topology.Algebra.Group.Basic
[ "Pi.instNeg", "Continuous", "ContinuousNeg", "TopologicalSpace", "InvolutiveNeg", "Iff.mp", "continuous_neg_iff", "InvolutiveNeg.toNeg", "Neg.neg" ]
true
BialgEquiv.ofBialgHom._proof_3
Mathlib.RingTheory.Bialgebra.Equiv
[ "CommSemiring.toSemiring", "RingHomCompTriple", "CommSemiring", "RingHom.id", "RingHomCompTriple.ids", "Semiring.toNonAssocSemiring" ]
false
CStarMatrix.instSMul._aux_1
Mathlib.Analysis.CStarAlgebra.CStarMatrix
[ "instHSMul", "Matrix", "SMul", "Function.hasSMul", "CStarMatrix", "HSMul.hSMul" ]
false
Ordinal.type_sum_lex
Mathlib.SetTheory.Ordinal.Basic
[ "Ordinal.type", "Sum", "IsWellOrder", "Sum.instIsWellOrderLex", "instHAdd", "HAdd.hAdd", "Ordinal.add", "Eq", "rfl", "Sum.Lex", "Ordinal" ]
true
Algebra.Generators.toExtension_σ
Mathlib.RingTheory.Extension.Generators
[ "CommRing", "Algebra.Generators.Ring", "CommSemiring.toSemiring", "Algebra", "Algebra.Generators", "CommRing.toCommSemiring", "Eq.refl", "Algebra.Generators.toExtension", "Eq", "Algebra.Generators.σ", "Algebra.Extension.σ" ]
true
_private.Mathlib.AlgebraicGeometry.ZariskisMainTheorem.0.AlgebraicGeometry.Scheme.Hom.exists_mem_and_isIso_morphismRestrict_toNormalization._simp_1_2
Mathlib.AlgebraicGeometry.ZariskisMainTheorem
[ "AlgebraicGeometry.Scheme.Hom.opensFunctor", "AlgebraicGeometry.SheafedSpace.instTopologicalSpaceCarrierCarrier", "AlgebraicGeometry.Scheme", "AlgebraicGeometry.PresheafedSpace.carrier", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "TopologicalSpace.Opens.instPartialOrder", "CommRingCat", ...
false
Set.eq_top_of_card_le_of_finite
Mathlib.Data.Finite.Card
[ "Subtype.finite", "Set.subset_univ", "Set.univ", "Finite", "Membership.mem", "Eq.rec", "Set.Elem", "Nat.card", "LE.le", "instLENat", "Nat.card_congr", "Set.toFinite", "BooleanAlgebra.toTop", "Set.instBooleanAlgebra", "Nat", "Set.Finite.eq_of_subset_of_card_le", "Top.top", "Eq.symm"...
true
PadicInt.continuousAddCharEquiv.match_1
Mathlib.NumberTheory.Padics.AddChar
[ "NormedCommRing.toNormedRing", "NormedCommRing.toSeminormedCommRing", "Nat.Prime", "Continuous", "NormedRing.toRing", "PadicInt", "AddGroupWithOne.toAddMonoidWithOne", "PseudoMetricSpace.toUniformSpace", "Subtype.casesOn", "AddChar", "Fact", "Subtype", "PadicInt.instNormedCommRing", "Subty...
false
Lean.Widget.RpcEncodablePacket.range?._@.Lean.Widget.UserWidget.3433604829._hygCtx._hyg.1
Lean.Widget.UserWidget
[ "Lean.Json", "Lean.Widget.RpcEncodablePacket._@.Lean.Widget.UserWidget.3433604829._hygCtx._hyg.1", "Option" ]
false
Continuous.rpow
Mathlib.Analysis.SpecialFunctions.Pow.Continuity
[ "Iff.mpr", "Real.instPow", "Real", "Continuous", "Real.instZero", "ContinuousAt", "PseudoMetricSpace.toUniformSpace", "Real.instLT", "Ne", "ContinuousAt.rpow", "Continuous.continuousAt", "TopologicalSpace", "HPow.hPow", "LT.lt", "Zero.toOfNat0", "Real.pseudoMetricSpace", "Or", "ins...
true
CategoryTheory.SmallObject.SuccStruct.Iteration.casesOn
Mathlib.CategoryTheory.SmallObject.Iteration.Basic
[ "CategoryTheory.Functor", "Preorder.toLT", "CategoryTheory.SmallObject.SuccStruct.Iteration.mk", "CategoryTheory.SmallObject.SuccStruct", "LinearOrder", "OrderBot.toBot", "WellFoundedLT", "PartialOrder.toPreorder", "CategoryTheory.SmallObject.SuccStruct.toSuccArrow", "Preorder.toLE", "OrderBot",...
false
_private.Init.Omega.LinearCombo.0.Lean.Omega.instToStringInt.match_1
Init.Omega.LinearCombo
[ "Int.casesOn", "Int.ofNat", "Int", "Nat", "Int.negSucc" ]
false
Cardinal.toNat_strictMonoOn
Mathlib.SetTheory.Cardinal.ToNat
[ "Eq.mpr", "NonAssocSemiring.toAddCommMonoidWithOne", "Nat.instMulZeroOneClass", "Preorder.toLT", "_private.Mathlib.SetTheory.Cardinal.ToNat.0.Cardinal.toNat_strictMonoOn._simp_1_1", "IsOrderedRing.toZeroLEOneClass", "Cardinal", "congrArg", "CommSemiring.toSemiring", "Cardinal.commSemiring", "Par...
true
PFunctor.M.IsBisimulation.mk
Mathlib.Data.PFunctor.Univariate.M
[ "PFunctor", "PFunctor.A", "PFunctor.M.IsBisimulation.mk", "PFunctor.M", "PFunctor.B", "PFunctor.M.IsBisimulation", "Sigma.mk", "Eq", "PFunctor.M.mk" ]
true
CategoryTheory.Limits.IsInitial.subsingleton_to
Mathlib.CategoryTheory.Limits.Shapes.StrictInitial
[ "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "CategoryTheory.Limits.IsInitial", "CategoryTheory.Limits.HasStrictInitialObjects", "Subsingleton.intro", "CategoryTheory.Limits.IsInitial.strict_hom_ext", "Subsingleton", "CategoryTheory.Category.toCategoryStruct", "CategoryTheory.Category" ]
true
_private.Mathlib.AlgebraicTopology.SimplexCategory.ToMkOne.0.SimplexCategory.δ_comp_toMk₁_of_lt._proof_1_2
Mathlib.AlgebraicTopology.SimplexCategory.ToMkOne
[ "Lean.Grind.of_eq_eq_true", "Lean.Grind.eq_false_of_not_eq_true", "Int.Linear.eq_of_core", "Fin.succAbove", "of_eq_false", "Lean.Grind.instOrderedRingInt", "Lean.RArray.leaf", "False", "Lean.Grind.not_not", "Lean.Grind.ToInt.of_lt", "eq_false", "Lean.Grind.iff_eq", "Fin.succ", "Lean.Grind....
false
List.perm_cons_append_cons
Init.Data.List.Perm
[ "List.Perm.cons", "List.Perm", "List.Perm.trans", "List.cons", "instHAppendOfAppend", "List", "List.Perm.symm", "List.perm_middle", "List.instAppend", "HAppend.hAppend" ]
true
CategoryTheory.Mod.Hom.recOn
Mathlib.CategoryTheory.Monoidal.Mod
[ "CategoryTheory.Mod.mod", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "CategoryTheory.MonoidalCategory", "CategoryTheory.Mod.X", "CategoryTheory.Mod.Hom", "CategoryTheory.MonoidalCategory.MonoidalLeftAction", "CategoryTheory.Mod", "CategoryTheory.Mod.Hom.rec", "CategoryTheory.Category....
false
_private.Init.Data.Slice.Array.Lemmas.0.Subarray.size_mkSlice_rco._simp_1_1
Init.Data.Slice.Array.Lemmas
[ "Std.Slice.toList", "Subarray", "SubarrayIterator", "Subarray.length_toList", "Std.Slice.Internal.SubarrayData", "Nat", "Subarray.instToIterator", "instIteratorSubarrayIteratorId", "Std.Slice.size", "Subarray.instSliceSizeSubarrayData", "Eq.symm", "Eq", "List.length" ]
false
Equiv.Finset.union_symm_right
Mathlib.Data.Finset.Basic
[ "_private.Mathlib.Data.Finset.Basic.0.Equiv.Finset.union_symm_right._simp_1_1", "Equiv.instEquivLike", "Finset.instUnion", "Finset", "Disjoint", "Membership.mem", "Sum", "Equiv", "Subtype", "Finset.partialOrder", "Subtype.mk", "Finset.instSetLike", "Sum.inr", "True", "eq_self", "of_eq_...
true
Nat.succ.elim
Init.Prelude
[ "PULift.up", "Nat", "Nat.ctorIdx", "Eq.symm", "Nat.succ", "Eq", "Nat.ctorElim" ]
false
Diffeomorph.coe_refl
Mathlib.Geometry.Manifold.Diffeomorph
[ "NormedSpace", "Diffeomorph.refl", "id", "Diffeomorph", "TopologicalSpace", "ModelWithCorners", "Diffeomorph.instEquivLike", "ENat", "NontriviallyNormedField", "NontriviallyNormedField.toNormedField", "NormedAddCommGroup.toSeminormedAddCommGroup", "Eq", "DFunLike.coe", "rfl", "NormedAddC...
true
Plausible.Random.instBoundedRandomFin
Plausible.Random
[ "Pure.pure", "Plausible.RandGT", "RandomGen", "Plausible.Random.instBoundedRandomFin._proof_4", "Monad.toApplicative", "Plausible.BoundedRandom", "ULift", "Fin.mk", "Subtype", "Plausible.Random.randBound", "LE.le", "instLENat", "Applicative.toPure", "Fin.val", "instLEFin", "Subtype.mk"...
true
WithTop.LinearOrderedAddCommGroup.instLinearOrderedAddCommGroupWithTopOfIsOrderedAddMonoid._proof_8
Mathlib.Algebra.Order.AddGroupWithTop
[ "NegZeroClass.toNeg", "WithTop.map", "AddCommGroup", "SubtractionMonoid.toSubNegZeroMonoid", "SubNegZeroMonoid.toNegZeroClass", "SubtractionCommMonoid.toSubtractionMonoid", "WithTop.top", "WithTop.map_top", "AddCommGroup.toDivisionAddCommMonoid", "Top.top", "Eq", "Neg.neg", "WithTop" ]
false