name
stringlengths
2
347
module
stringlengths
6
90
deps
listlengths
0
692
allowCompletion
bool
2 classes
HomologicalComplex.hom_ext
Mathlib.Algebra.Homology.HomologicalComplex
[ "CategoryTheory.Limits.HasZeroMorphisms", "HomologicalComplex.instCategory", "HomologicalComplex.Hom.f", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "HomologicalComplex", "ComplexShape", "funext", "CategoryTheory.Category.toCategoryStruct", "HomologicalComplex.X", "HomologicalComplex...
true
groupHomology.isoCycles₁
Mathlib.RepresentationTheory.Homological.GroupHomology.LowDegree
[ "Submodule", "Rep.V", "CommRing", "CategoryTheory.ShortComplex.leftHomologyData", "Finsupp.module", "groupHomology.cyclesIso₀._proof_3", "Nat.instOne", "ModuleCat", "CommSemiring.toSemiring", "AddCommGroup.toAddCommMonoid", "Rep.hV2", "groupHomology.isoShortComplexH1", "AddRightCancelSemigro...
true
Lean.Meta.Sym.SharedExprs.recOn
Lean.Meta.Sym.SymM
[ "Lean.Meta.Sym.SharedExprs.mk", "Lean.Expr", "Lean.Meta.Sym.SharedExprs.rec", "Lean.Meta.Sym.SharedExprs" ]
false
_private.Aesop.Rule.Name.0.Aesop.RuleName.Json.mk.sizeOf_spec
Aesop.Rule.Name
[ "Aesop.ScopeName", "String", "Aesop.ScopeName._sizeOf_inst", "Aesop.BuilderName._sizeOf_inst", "Aesop.BuilderName", "instOfNatNat", "Aesop.PhaseName", "instHAdd", "_private.Aesop.Rule.Name.0.Aesop.RuleName.Json._sizeOf_inst", "HAdd.hAdd", "_private.Aesop.Rule.Name.0.Aesop.RuleName.Json.mk", "L...
true
_private.Mathlib.GroupTheory.Perm.Cycle.Basic.0.Equiv.Perm.isCycle_swap_mul_aux₂.match_1_1
Mathlib.GroupTheory.Perm.Cycle.Basic
[ "Equiv.instEquivLike", "HMul.hMul", "Equiv.swap", "DivInvMonoid.toZPow", "Int.casesOn", "Int.ofNat", "Ne", "Int", "Nat.cast", "Group.toDivInvMonoid", "Equiv.Perm.permGroup", "HPow.hPow", "Equiv.Perm", "Equiv.Perm.instMul", "Nat", "instNatCastInt", "instHPow", "Int.negSucc", "Eq",...
false
CategoryTheory.Pseudofunctor.mapComp'_id_comp_hom_assoc
Mathlib.CategoryTheory.Bicategory.Strict.Pseudofunctor
[ "CategoryTheory.Category.assoc", "CategoryTheory.Pseudofunctor.mapComp'_id_comp_hom", "CategoryTheory.Pseudofunctor.mapId", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "congrArg", "CategoryTheory.CategoryStruct.id", "Eq.mp", "CategoryTheory.Bicategory.whiskerRight", "id", "CategoryTh...
true
_private.Lean.Meta.Tactic.Grind.Internalize.0.Lean.Meta.Grind.isNonParametricLitValue
Lean.Meta.Tactic.Grind.Internalize
[ "Pure.pure", "Lean.Meta.getCharValue?", "Lean.Meta.getNatValue?", "Lean.Meta.getUInt64Value?", "UInt64", "String", "Lean.Meta.getUInt32Value?", "Lean.Meta.State", "Lean.Meta.getStringValue?", "Lean.Expr", "Lean.Meta.MetaM", "IO.RealWorld", "Lean.Meta.getIntValue?", "instDecidableEqBool", ...
true
_private.Mathlib.Algebra.BigOperators.Finprod.0.finprod_le_finprod._proof_1_1
Mathlib.Algebra.BigOperators.Finprod
[ "Set.mem_union", "MulOne.toOne", "False", "eq_false", "Lean.Grind.iff_eq", "Set.subset_def", "Finset", "Classical.byContradiction", "Membership.mem", "Exists", "Set.instUnion", "Eq.mp", "Set.Elem", "id", "Lean.Grind.or_eq_of_eq_false_right", "HasSubset.Subset", "CommMonoidWithZero.to...
false
_private.Mathlib.CategoryTheory.Sites.Descent.DescentData.0.CategoryTheory.Pseudofunctor.DescentData.ofObj._proof_1
Mathlib.CategoryTheory.Sites.Descent.DescentData
[ "CategoryTheory.LocallyDiscrete.categoryStruct", "CategoryTheory.op_comp", "False", "Opposite", "Quiver.opposite", "eq_false", "CategoryTheory.LocallyDiscrete.mk", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "CategoryTheory.CategoryStruct.opposite", "congrArg", "Quiver.Hom.op", "...
false
WithBot.le_unbot_iff._simp_2
Mathlib.Order.WithBot
[ "WithBot.le_unbot_iff", "WithBot.some", "WithBot", "Ne", "Bot.bot", "LE.le", "LE", "WithBot.unbot", "propext", "Eq", "WithBot.instLE", "WithBot.bot" ]
false
PreLp.ring._proof_21
Mathlib.Analysis.Normed.Lp.lpSpace
[ "PreLp.ring._proof_19", "Mul.mk", "NormedRing.toRing", "One.mk", "PreLp.ring._proof_18", "AddCommGroup.toAddCommMonoid", "PreLp.ring._proof_13", "AddMonoid.toZero", "Pi.ring._proof_2", "instAddCommGroupPreLp", "Semigroup.mk", "AddCommGroup.toAddGroup", "NormedRing.toNonUnitalNormedRing", "...
false
_private.Lean.Meta.Tactic.Simp.BuiltinSimprocs.Int.0._regBuiltin.Int.reduceNeg.declare_24._@.Lean.Meta.Tactic.Simp.BuiltinSimprocs.Int.2123988823._hygCtx._hyg.18
Lean.Meta.Tactic.Simp.BuiltinSimprocs.Int
[ "Int.reduceNeg", "IO", "Lean.Meta.DiscrTree.Key.star", "Lean.Meta.DiscrTree.Key", "instOfNatNat", "List.toArray", "List.cons", "Unit", "Nat", "Lean.Meta.Simp.registerBuiltinDSimproc", "Lean.Name.mkStr2", "OfNat.ofNat", "Lean.Name.mkStr1", "Lean.Meta.DiscrTree.Key.const", "List.nil" ]
false
Rep.add_hom
Mathlib.RepresentationTheory.Rep.Basic
[ "Monoid", "Rep.V", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "AddCommGroup.toAddCommMonoid", "Rep.hV2", "Representation.IntertwiningMap.instAdd", "Rep.instCategory", "Rep.hV1", "instHAdd", "Rep", "Rep.instAddHom", "HAdd.hAdd", "Rep.ρ", "Rep.Hom.hom", "Semiring", "Repres...
true
PowerSeries.binomialSeries_coeff
Mathlib.RingTheory.PowerSeries.Binomial
[ "NonAssocSemiring.toAddCommMonoidWithOne", "CommRing", "instHSMul", "NonUnitalCommRing.toNonUnitalNonAssocCommRing", "Semiring.toModule", "CommRing.toNonUnitalCommRing", "CommSemiring.toSemiring", "PowerSeries.binomialSeries", "SMul", "LinearMap.instFunLike", "NonUnitalNonAssocRing.toNonUnitalNo...
true
CompactConvergenceCLM._aux_Mathlib_Topology_Algebra_Module_Spaces_CompactConvergenceCLM___unexpand_CompactConvergenceCLM_1
Mathlib.Topology.Algebra.Module.Spaces.CompactConvergenceCLM
[ "Pure.pure", "cond", "Lean.TSyntax", "Unit.unit", "Lean.MonadRef.mkInfoFromRefPos", "instMonadExceptOfMonadExceptOf", "Lean.SourceInfo", "Lean.PrettyPrinter.UnexpandM", "MonadExcept.throw", "Lean.Syntax.node5", "Lean.Syntax.isOfKind", "EStateM.instMonad", "Lean.Syntax.atom", "Lean.TSyntax....
false
Fintype.rec
Mathlib.Data.Fintype.Defs
[ "Finset", "Membership.mem", "Fintype", "Finset.instSetLike", "Fintype.mk", "SetLike.instMembership" ]
false
MeasureTheory.stronglyMeasurable_condExp
Mathlib.MeasureTheory.Function.ConditionalExpectation.Basic
[ "Eq.mpr", "Real", "MeasureTheory.Measure", "MeasurableSpace.instLE", "NormedSpace", "congrArg", "MeasureTheory.AEEqFun.cast", "MeasureTheory.SigmaFinite", "MeasureTheory.Measure.trim", "PseudoMetricSpace.toUniformSpace", "MeasureTheory.condExpL1", "MeasureTheory.aestronglyMeasurable_condExpL1"...
true
Lean.Declaration._sizeOf_1
Lean.Declaration
[ "Lean.TheoremVal._sizeOf_inst", "Lean.InductiveType", "instOfNatNat", "Lean.OpaqueVal._sizeOf_inst", "Lean.Declaration.rec", "Lean.Declaration", "List", "instHAdd", "HAdd.hAdd", "Lean.instSizeOfName", "Lean.OpaqueVal", "Nat", "List._sizeOf_inst", "SizeOf.sizeOf", "Bool", "Lean.Inductiv...
false
CategoryTheory.Bundled
Mathlib.CategoryTheory.ConcreteCategory.Bundled
[ "CategoryTheory.Bundled.mk" ]
true
summable_of_summable_hasDerivAt_of_isPreconnected
Mathlib.Analysis.Calculus.SmoothSeries
[ "HasFDerivAt", "NormedCommRing.toNormedRing", "Norm.norm", "Eq.mpr", "NormedCommRing.toSeminormedCommRing", "Real.instLE", "Real", "CompleteSpace", "Semiring.toModule", "NormedRing.toRing", "NormedSpace.toIsBoundedSMul", "NormedSpace", "congrArg", "DistribMulAction.toDistribSMul", "AddCo...
true
_private.Std.Data.DHashMap.Raw.0.Std.DHashMap.Raw.Const.getThenInsertIfNew?.match_1
Std.Data.DHashMap.Raw
[ "Std.DHashMap.Raw", "Subtype.casesOn", "Prod.mk", "instOfNatNat", "Subtype.mk", "Nat", "Std.DHashMap.Raw.buckets", "LT.lt", "Std.DHashMap.Internal.AssocList", "instLTNat", "Prod", "Prod.casesOn", "OfNat.ofNat", "Array.size", "Std.DHashMap.Internal.Raw₀", "Option" ]
false
_private.Lean.Meta.Tactic.Grind.Arith.Linear.PP.0.Lean.Meta.Grind.Arith.Linear.ppStruct?.match_1
Lean.Meta.Tactic.Grind.Arith.Linear.PP
[ "Rat", "Lean.Expr", "Prod.mk", "Prod", "Prod.casesOn" ]
false
_private.Lean.Meta.Tactic.Grind.Order.Proof.0.Lean.Meta.Grind.Order.mkPropagateSelfEqTrueProofOffset
Lean.Meta.Tactic.Grind.Order.Proof
[ "Pure.pure", "Lean.Meta.Grind.GrindM", "Lean.Meta.Grind.Order.mkOrdRingPrefix", "Lean.Meta.Grind.Order.Weight.strict", "Lean.Meta.Grind.Goal", "Lean.Meta.Grind.State", "ReaderT", "Lean.Meta.Sym.Context", "ReaderT.instMonad", "Lean.Meta.Grind.Context", "Lean.Expr", "Lean.Meta.MetaM", "IO.Real...
true
BooleanSubalgebra.instBot._proof_2
Mathlib.Order.BooleanSubalgebra
[ "BooleanAlgebra", "and_true", "congrArg", "inf_of_le_left", "true_or", "le_top._simp_2", "OrderBot.toBot", "inf_eq_top_iff._simp_1", "PartialOrder.toPreorder", "forall_eq_or_imp._simp_1", "Preorder.toLE", "Membership.mem", "SemilatticeInf.toPartialOrder", "CoheytingAlgebra.toOrderTop", "...
false
PrimeSpectrum.vanishingIdeal_range_comap
Mathlib.RingTheory.Spectrum.Prime.Topology
[ "Eq.mpr", "PrimeSpectrum.mk", "Submodule", "RingHom.instRingHomClass", "Semiring.toModule", "PrimeSpectrum.vanishingIdeal", "PrimeSpectrum.isPrime", "congrArg", "CommSemiring.toSemiring", "_private.Mathlib.RingTheory.Spectrum.Prime.Topology.0.PrimeSpectrum.vanishingIdeal_range_comap._simp_1_2", ...
true
Lean.Server.FileWorker.EditableDocumentCore.ctorIdx
Lean.Server.FileWorker.Utils
[ "Nat", "Lean.Server.FileWorker.EditableDocumentCore" ]
false
CategoryTheory.Functor.NatTrans.hcomp_eq_whiskerRight_comp_whiskerLeft
Mathlib.CategoryTheory.Whiskering
[ "Eq.mpr", "CategoryTheory.Functor", "CategoryTheory.NatTrans.mk'", "CategoryTheory.CategoryStruct.toQuiver", "CategoryTheory.NatTrans.ext'", "Quiver.Hom", "congrArg", "CategoryTheory.Functor.category", "CategoryTheory.Functor.comp", "CategoryTheory.NatTrans.hcomp", "Eq.mp", "CategoryTheory.Fun...
true
ModuleCat.endRingEquiv_symm_apply_hom
Mathlib.Algebra.Category.ModuleCat.Basic
[ "ModuleCat", "AddCommGroup.toAddCommMonoid", "RingEquiv.instEquivLike", "ModuleCat.endRingEquiv", "Module.End.instMul", "Distrib.toAdd", "LinearMap.instAdd", "CategoryTheory.End.mul", "LinearMap", "CategoryTheory.End", "instDistribOfSemiring", "ModuleCat.of", "ModuleCat.isAddCommGroup", "M...
true
Mathlib.Meta.FunProp.instReprTheoremForm
Mathlib.Tactic.FunProp.Theorems
[ "Repr.mk", "Mathlib.Meta.FunProp.TheoremForm", "Repr", "Mathlib.Meta.FunProp.instReprTheoremForm.repr" ]
true
Std.DHashMap.instDecidableEquivOfLawfulBEq
Std.Data.DHashMap.DecidableEquiv
[ "decidable_of_iff", "Std.DHashMap.Equiv", "Std.DHashMap.Raw", "Decidable", "Std.DHashMap.instDecidableEquivOfLawfulBEq._proof_1", "LawfulBEq", "Std.DHashMap.wf", "instOfNatNat", "Std.DHashMap.Raw.Equiv", "Subtype.mk", "Std.DHashMap.inner", "Nat", "Std.DHashMap.Raw.buckets", "LT.lt", "Std...
true
MeasureTheory.Measure.AbsolutelyContinuous.zero
Mathlib.MeasureTheory.Measure.AbsolutelyContinuous
[ "MeasureTheory.Measure", "MeasureTheory.Measure.AbsolutelyContinuous", "MeasureTheory.Measure.instZero", "MeasurableSpace", "eq_self", "ENNReal", "of_eq_true", "Zero.toOfNat0", "ENNReal.instZero", "OfNat.ofNat", "Eq", "DFunLike.coe", "MeasureTheory.Measure.instFunLike", "Set" ]
true
CategoryTheory.Triangulated.TStructure.truncLTι_comp_truncGEπ_app
Mathlib.CategoryTheory.Triangulated.TStructure.TruncLTGE
[ "CategoryTheory.Pretriangulated.comp_distTriang_mor_zero₁₂", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "CategoryTheory.Triangulated.TStructure.truncGE", "CategoryTheory.Functor.Additive", "CategoryTheory.shiftFunctor", "CategoryTheory.Functor.id", "CategoryTheory.Triangulated.TStructure....
true
MulHom.toFun_eq_coe
Mathlib.Algebra.Group.Hom.Defs
[ "MulHom", "Mul", "MulHom.toFun", "MulHom.funLike", "Eq", "DFunLike.coe", "rfl" ]
true
ValuativeRel.ofValuation._proof_4
Mathlib.RingTheory.Valuation.ValuativeRel.Basic
[ "LinearOrderedCommGroupWithZero.toLinearOrderedCommMonoidWithZero", "CommRing", "PartialOrder.toPreorder", "LinearOrderedCommMonoidWithZero.toLinearOrder", "Preorder.toLE", "le_total", "LE.le", "LinearOrderedCommGroupWithZero", "Or", "Valuation.instFunLike", "CommRing.toRing", "LinearOrder.toP...
false
Equiv.Perm.equivUnitsEnd
Mathlib.Algebra.Group.End
[ "Units.val", "Function.End", "Equiv.instEquivLike", "Equiv.symm_comp_self", "Equiv.Perm.equivUnitsEnd._proof_4", "Units", "Equiv.mk", "Equiv", "Equiv.Perm.equivUnitsEnd._proof_1", "Equiv.Perm.equivUnitsEnd._proof_2", "Equiv.Perm.equivUnitsEnd._proof_3", "Inv.inv", "Equiv.self_comp_symm", "...
true
Real.binEntropy_strictAntiOn
Mathlib.Analysis.SpecialFunctions.BinaryEntropy
[ "Eq.mpr", "NonAssocSemiring.toAddCommMonoidWithOne", "le_refl", "Real.qaryEntropy", "Real", "instHDiv", "Mathlib.Meta.NormNum.IsNat.to_isNNRat", "GroupWithZero.toDivisionMonoid", "HMul.hMul", "GroupWithZero.toDivInvMonoid", "DivInvOneMonoid.toInvOneClass", "Real.qaryEntropy_two", "Real.instR...
true
Std.Iterators.Types.Drop.rec
Std.Data.Iterators.Combinators.Monadic.Drop
[ "Std.Iterators.Types.Drop", "Nat", "Std.IterM", "Std.Iterators.Types.Drop.mk" ]
false
Int16.toInt8_ofIntTruncate
Init.Data.SInt.Lemmas
[ "instPowNat", "Eq.mpr", "Int16.ofIntTruncate", "Int16.toInt8", "Int16", "congrArg", "Int8", "Int.le_of_lt_add_one", "Int16.ofIntLE_eq_ofIntTruncate", "id", "Int.instNegInt", "instOfNatNat", "Int", "Int.instNatPow", "LE.le", "Int.instLTInt", "HPow.hPow", "instOfNat", "Nat", "LT....
true
CategoryTheory.Functor.instFullProdUncurry₃
Mathlib.CategoryTheory.Functor.CurryingThree
[ "CategoryTheory.Functor", "CategoryTheory.Functor.fullyFaithfulUncurry₃", "CategoryTheory.Functor.category", "CategoryTheory.Functor.uncurry₃", "CategoryTheory.Functor.FullyFaithful.full", "CategoryTheory.prod'", "Prod", "CategoryTheory.Category", "CategoryTheory.Functor.Full" ]
true
BAll.imp_left
Mathlib.Logic.Basic
[]
true
_private.Mathlib.Tactic.Widget.LibraryRewrite.0.Mathlib.Tactic.LibraryRewrite.isMVarSwap.go._sparseCasesOn_14
Mathlib.Tactic.Widget.LibraryRewrite
[ "Nat.ne_of_beq_eq_false", "Lean.Expr.const", "Lean.Expr.letE", "Lean.Expr.mvar", "Nat.shiftRight", "Lean.MVarId", "Lean.Expr", "Lean.FVarId", "Nat.hasNotBit", "instOfNatNat", "Lean.Expr.sort", "Lean.Expr.bvar", "Lean.Level", "Lean.Literal", "Lean.Expr.mdata", "Lean.Expr.fvar", "Lean....
false
Lean.Parser.Command.openDecl.formatter
Lean.Parser.Command
[ "Lean.PrettyPrinter.Formatter", "Lean.PrettyPrinter.Formatter.orelse.formatter", "Lean.PrettyPrinter.Formatter.withAntiquot.formatter", "Lean.Parser.Command.openHiding.formatter", "Lean.Parser.Command.openScoped.formatter", "Bool.true", "Lean.Parser.Command.openRenaming.formatter", "Lean.Parser.Comman...
true
UniformSpace.Completion.instAddCommGroup
Mathlib.Topology.Algebra.GroupCompletion
[ "UniformSpace", "AddCommGroup.toAddGroup", "inferInstance", "AddCommGroup", "IsUniformAddGroup", "AddGroup", "AddCommGroup.mk", "UniformSpace.Completion.instAddCommGroup._proof_4", "UniformSpace.Completion.addGroup", "UniformSpace.Completion" ]
true
_private.Lean.Server.FileWorker.SemanticHighlighting.0.Lean.Server.FileWorker.collectInfoBasedSemanticTokens.match_9
Lean.Server.FileWorker.SemanticHighlighting
[ "Nat.hasNotBit", "Lean.Elab.TermInfo", "Lean.Elab.Info.ofTermInfo", "_private.Lean.Server.FileWorker.SemanticHighlighting.0.Lean.Server.FileWorker.collectInfoBasedSemanticTokens._sparseCasesOn_9", "Lean.Elab.Info.ctorIdx", "Lean.Elab.Info" ]
false
ModelWithCorners.uniqueDiffOn_preimage_source
Mathlib.Geometry.Manifold.IsManifold.Basic
[ "NormedSpace", "UniqueDiffOn", "OpenPartialHomeomorph.open_source", "ModelWithCorners.uniqueDiffOn_preimage", "NormedSpace.toModule", "PseudoMetricSpace.toUniformSpace", "NormedField.toField", "ModelWithCorners.toFun'", "Set.instInter", "Field.toSemifield", "Inter.inter", "TopologicalSpace", ...
true
Nat.factorization_le_iff_dvd
Mathlib.Data.Nat.Factorization.Defs
[ "Finsupp.instCanonicallyOrderedAddOfAddLeftMono", "Finsupp.instFunLike", "Eq.mpr", "Nat.instCanonicallyOrderedAdd", "Finsupp.instLE", "Nat.instMulZeroClass", "Nat.instOrderedSub", "Dvd.dvd", "Nat.instIsOrderedAddMonoid", "HMul.hMul", "_private.Mathlib.Data.Nat.Factorization.Defs.0.Nat.factorizat...
true
String.Pos.nextn_eq_nextn_toSlice
Init.Data.String.Lemmas.Basic
[ "String.toSlice", "String", "String.Pos.toSlice", "String.Pos.ofToSlice", "Nat", "String.Pos", "String.Slice.Pos.nextn", "Eq", "rfl", "String.Pos.nextn" ]
true
Algebra.IsCentral.mk._flat_ctor
Mathlib.Algebra.Central.Defs
[ "Algebra.IsCentral", "Algebra.IsCentral.mk", "Lattice.toSemilatticeSup", "CompleteLattice.toLattice", "Subalgebra.center", "OrderBot.toBot", "PartialOrder.toPreorder", "Algebra.instCompleteLatticeSubalgebra", "Algebra", "Preorder.toLE", "CompleteLattice.toBoundedOrder", "Bot.bot", "LE.le", ...
false
_private.Init.Grind.Ring.Basic.0.Lean.Grind.Ring.intCast_nat_sub._proof_1_2
Init.Grind.Ring.Basic
[ "False", "Lean.Omega.Constraint.not_sat'_of_isImpossible", "Int.natCast_add", "of_decide_eq_true", "le_of_le_of_eq", "Lean.Omega.Constraint.mk", "Lean.Omega.Constraint.combine_sat'", "Int.add_one_le_of_lt", "HSub.hSub", "Lean.Omega.Int.ofNat_sub_dichotomy", "Lean.Omega.Int.add_congr", "Lean.Om...
false
Set.IsPWO.insert
Mathlib.Order.WellFoundedSet
[ "Iff.mpr", "Set.IsPWO", "Set.isPWO_insert", "Insert.insert", "Set.instInsert", "Preorder", "Set" ]
true
Filter.Tendsto.finset_sup'_nhds_apply
Mathlib.Topology.Order.Lattice
[ "Eq.mpr", "_private.Mathlib.Topology.Order.Lattice.0.Filter.Tendsto.finset_sup'_nhds_apply._simp_1_1", "congrArg", "Finset", "Membership.mem", "nhds", "SemilatticeSup.toMax", "id", "Filter.Tendsto.finset_sup'_nhds", "TopologicalSpace", "Pi.instSemilatticeSup", "funext", "Finset.instSetLike",...
true
CategoryTheory.BicartesianSq.toIsPullback
Mathlib.CategoryTheory.Limits.Shapes.Pullback.IsPullback.BicartesianSq
[ "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "CategoryTheory.IsPullback", "CategoryTheory.BicartesianSq", "CategoryTheory.Category.toCategoryStruct", "CategoryTheory.Category" ]
true
Real.log_zpow._simp_1
Mathlib.Analysis.SpecialFunctions.Log.Basic
[ "Int.cast", "Real", "HMul.hMul", "Real.instDivInvMonoid", "DivInvMonoid.toZPow", "Real.log_zpow", "Int", "Real.log", "HPow.hPow", "Real.instMul", "Real.instIntCast", "instHPow", "Eq.symm", "Eq", "instHMul" ]
false
SkewMonoidAlgebra.single_add_erase
Mathlib.Algebra.SkewMonoidAlgebra.Single
[ "Finsupp.instFunLike", "Eq.mpr", "SkewMonoidAlgebra.toFinsupp_apply", "SkewMonoidAlgebra.erase_apply_toFinsupp", "Finsupp.erase", "congrArg", "AddMonoid.toAddZeroClass", "SkewMonoidAlgebra.instAddMonoid", "AddZeroClass.toAddZero", "id", "SkewMonoidAlgebra.ofFinsupp", "SkewMonoidAlgebra.toFinsu...
true
_private.Init.Data.List.Nat.InsertIdx.0.List.insertIdx_eraseIdx_of_le.match_1_1
Init.Data.List.Nat.InsertIdx
[ "False", "HEq.refl", "False.elim", "noConfusion_of_Nat", "instOfNatNat", "LE.le", "instLENat", "Nat.le.step", "List.cons", "List", "instHAdd", "HAdd.hAdd", "Nat.le", "Nat", "LT.lt", "List.casesOn", "Nat.ctorIdx", "instAddNat", "Nat.zero", "Eq.refl", "HEq", "Nat.le.refl", ...
false
Module.Free.Module.free_shrink
Mathlib.LinearAlgebra.FreeModule.Basic
[ "Shrink.instAddCommMonoid", "Module.Free.shrink", "AddCommMonoid", "Module.Free", "Semiring", "Shrink", "Module", "Shrink.instModule", "Small" ]
true
CategoryTheory.RelCat.graphFunctor._proof_3
Mathlib.CategoryTheory.Category.RelCat
[ "Set.ext", "CategoryTheory.RelCat.Hom.ofRel", "SetRel", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "congrArg", "CategoryTheory.ConcreteCategory.hom", "Function.graph", "TypeCat.instFunLikeFun", "Membership.mem", "Exists", "CategoryTheory.RelCat.instLargeCategory", "SetRel.mem_co...
false
Lean.Meta.Grind.isCastLikeFn
Lean.Meta.Tactic.Grind.CastLike
[ "Pure.pure", "Lean.Meta.Grind.isCastLikeDeclName", "Monad.toApplicative", "_private.Lean.Meta.Tactic.Grind.CastLike.0.Lean.Meta.Grind.isCastLikeFn.match_1", "Lean.Expr", "Lean.Level", "Id.run", "Id", "Applicative.toPure", "List", "Bool", "Lean.Name", "Id.instMonad", "Bool.false" ]
true
_private.Init.Data.BitVec.Lemmas.0.BitVec.toInt_neg_of_msb_true._proof_1_2
Init.Data.BitVec.Lemmas
[ "instPowNat", "False", "Lean.Omega.Constraint.not_sat'_of_isImpossible", "Lean.Omega.Int.le_of_not_lt", "HMul.hMul", "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...
false
CategoryTheory.MonoidalCategory.monoidalOfLawfulDayConvolutionMonoidalCategoryStruct._proof_1
Mathlib.CategoryTheory.Monoidal.DayConvolution
[ "CategoryTheory.MonoidalCategory.DayConvolution.convolution", "Eq.mpr", "CategoryTheory.Functor", "CategoryTheory.MonoidalCategoryStruct", "Opposite", "Equiv.instEquivLike", "CategoryTheory.coyoneda", "CategoryTheory.CategoryStruct.toQuiver", "CategoryTheory.NatTrans.ext'", "Quiver.Hom", "congrA...
false
Std.TreeMap.minKey_insert_of_isEmpty
Std.Data.TreeMap.Lemmas
[ "Std.TreeMap.insert", "Std.TreeMap.inner", "Ordering", "Std.TransCmp", "Std.TreeMap.isEmpty", "Bool.true", "Std.TreeMap.isEmpty_insert", "Bool", "Eq", "Std.TreeMap.minKey", "Std.TreeMap", "Std.DTreeMap.minKey_insert_of_isEmpty" ]
true
Invertible.ofLeftInverse
Mathlib.Algebra.Group.Invertible.Basic
[ "MulOne.toOne", "Function.LeftInverse", "MulOne.toMul", "Invertible.map", "Invertible.ofLeftInverse._proof_1", "MulOneClass.toMulOne", "Invertible", "MonoidHomClass", "MulOneClass", "DFunLike.coe", "Invertible.copy", "FunLike" ]
true
QuadraticAlgebra.coe_eq_one_iff
Mathlib.Algebra.QuadraticAlgebra.Defs
[ "One", "QuadraticAlgebra", "QuadraticAlgebra.C", "QuadraticAlgebra.C_eq_one_iff", "Iff", "QuadraticAlgebra.instOne", "One.toOfNat1", "OfNat.ofNat", "Eq", "Zero" ]
true
Lean.Parser.Term.termUnless._regBuiltin.Lean.Parser.Term.termUnless.declRange_5
Lean.Parser.Do
[ "Lean.addBuiltinDeclarationRanges", "Lean.DeclarationRange.mk", "IO", "instOfNatNat", "Unit", "Lean.Position.mk", "Nat", "OfNat.ofNat", "Lean.DeclarationRanges.mk", "Lean.Name.mkStr4" ]
false
Lean.Omega.LinearCombo.noConfusion
Init.Omega.LinearCombo
[ "Lean.Omega.LinearCombo.noConfusionType", "Int", "Lean.Omega.LinearCombo", "Lean.Omega.Coeffs", "Eq.ndrec", "Eq.refl", "Eq", "Lean.Omega.LinearCombo.casesOn" ]
false
Classical.propDecidable._proof_1
Init.Classical
[ "Decidable.isTrue", "Classical.propDecidable.match_1", "Decidable", "Nonempty.intro", "Classical.em", "Nonempty", "Or", "Decidable.isFalse", "Not" ]
false
Prod.nonUnitalSeminormedRing._proof_6
Mathlib.Analysis.Normed.Ring.Basic
[ "NonUnitalSeminormedRing", "HMul.hMul", "NonUnitalNonAssocRing.toMul", "AddMonoid.toZero", "NonUnitalNonAssocRing.toAddCommGroup", "AddCommGroup.toAddGroup", "NonUnitalRing.toNonUnitalNonAssocRing", "NonUnitalNonAssocRing.zero_mul", "AddGroup.toSubNegMonoid", "Prod.instNonUnitalRing", "Zero.toOf...
false
BitVec.reduceGetMsb._regBuiltin.BitVec.reduceGetMsb.declare_1._@.Lean.Meta.Tactic.Simp.BuiltinSimprocs.BitVec.4252493603._hygCtx._hyg.16
Lean.Meta.Tactic.Simp.BuiltinSimprocs.BitVec
[ "BitVec.reduceGetMsb", "IO", "Bool.true", "Unit", "Sum.inr", "Lean.Meta.Simp.DSimproc", "Lean.Name.mkStr2", "Lean.Meta.Simp.addSimprocBuiltinAttr", "Lean.Meta.Simp.Simproc" ]
false
Lean.Compiler.LCNF.Pass.shouldAlwaysRunCheck._default
Lean.Compiler.LCNF.PassManager
[ "id", "Bool", "Bool.false" ]
false
_private.Mathlib.Combinatorics.Colex.0.Finset.Colex.erase_le_erase_min'._simp_1_3
Mathlib.Combinatorics.Colex
[ "Finset", "Membership.mem", "Iff", "Finset.instSetLike", "DecidablePred", "Finset.filter_inj", "propext", "Finset.filter", "Eq", "SetLike.instMembership" ]
false
ValuativeExtension.vle_iff_vle
Mathlib.RingTheory.Valuation.ValuativeRel.Basic
[ "CommRing", "Algebra.algebraMap", "CommSemiring.toSemiring", "Algebra", "RingHom", "ValuativeRel.vle", "CommRing.toCommSemiring", "Iff", "RingHom.instFunLike", "ValuativeRel", "ValuativeExtension", "Semiring.toNonAssocSemiring", "DFunLike.coe" ]
true
CategoryTheory.IsCardinalFiltered.exists_cardinal_directed.instPartialOrderDiagramWithUniqueTerminal._proof_2
Mathlib.CategoryTheory.Presentable.Directed
[ "le_refl", "Pi.preorder", "Cardinal", "Prop.le", "PartialOrder.toPreorder", "CategoryTheory.SmallCategory", "CategoryTheory.IsCardinalFiltered.exists_cardinal_directed.Diagram.P", "LE.le", "Pi.hasLe", "CategoryTheory.IsCardinalFiltered.exists_cardinal_directed.DiagramWithUniqueTerminal.toDiagram",...
false
Array.count.eq_1
Init.Data.Array.Count
[ "Array", "BEq.beq", "Array.countP", "Nat", "Eq.refl", "BEq", "Eq", "Array.count" ]
true
AlgebraicGeometry.Scheme.Hom.quasiFiniteLocus_eq_top_iff
Mathlib.AlgebraicGeometry.ZariskisMainTheorem
[ "Iff.mpr", "Eq.mpr", "AlgebraicGeometry.SheafedSpace.instTopologicalSpaceCarrierCarrier", "Eq.ge", "AlgebraicGeometry.Scheme", "Lattice.toSemilatticeSup", "Set.image_singleton", "AlgebraicGeometry.PresheafedSpace.carrier", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "CompleteLattice....
true
List.getD_surjective_iff
Mathlib.Data.List.GetD
[ "Eq.mpr", "Nat.le_refl", "Iff.of_eq", "congrArg", "_private.Mathlib.Data.List.GetD.0.List.getD_surjective_iff._simp_1_7", "_private.Mathlib.Data.List.GetD.0.List.getD_surjective_iff._simp_1_2", "Option.getD", "List.instGetElem?NatLtLength", "_private.Mathlib.Data.List.GetD.0.List.getD_surjective_iff...
true
CategoryTheory.Limits.pullbackProdSndIsoProd._proof_3
Mathlib.CategoryTheory.Limits.Shapes.Pullback.HasPullback
[ "CategoryTheory.Category.assoc", "CategoryTheory.Limits.pullback", "CategoryTheory.Limits.Cone.π", "CategoryTheory.Functor", "CategoryTheory.Limits.prod.lift_map", "CategoryTheory.Limits.pullback.lift", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "CategoryTheory.Limits.pullbackProdSndIso...
false
_private.Std.Data.HashMap.IteratorLemmas.0.Std.HashMap.toArray_valuesIter._simp_1_1
Std.Data.HashMap.IteratorLemmas
[ "Std.Iter.toArray_toList", "Std.Iterators.Finite", "Id", "Std.Iter.toArray", "Std.Iterator", "List.toArray", "Array", "Std.Iter", "Std.Iter.toList", "Eq.symm", "Eq" ]
false
Finpartition.indiscrete_parts
Mathlib.Order.Partition.Finpartition
[ "Lattice", "Finset", "OrderBot.toBot", "PartialOrder.toPreorder", "Preorder.toLE", "OrderBot", "SemilatticeInf.toPartialOrder", "Ne", "Bot.bot", "Finpartition.parts", "Eq.refl", "Finset.instSingleton", "Singleton.singleton", "Finpartition.indiscrete", "Eq", "Lattice.toSemilatticeInf" ]
true
Lean.Expr.sort.noConfusion
Lean.Expr
[ "Lean.Expr", "id", "Lean.Expr.sort", "Lean.Level", "Eq", "Lean.Expr.noConfusion" ]
false
ProbabilityTheory.covarianceBilin_map
Mathlib.Probability.Moments.CovarianceBilin
[ "LinearIsometryEquiv.instEquivLike", "Iff.mpr", "Eq.mpr", "InnerProductSpace.toNormedSpace", "ENNReal.instIsOrderedRing", "NormedCommRing.toSeminormedCommRing", "Continuous.comp_aestronglyMeasurable", "Real", "Algebra.to_smulCommClass", "MeasureTheory.Measure", "NonUnitalCommRing.toNonUnitalNonA...
true
AddGroupNorm.instMax.eq_1
Mathlib.Analysis.Normed.Group.Seminorm
[ "Max.mk", "AddGroupSeminorm.instMax", "Max", "AddGroupNorm.instMax", "AddGroupSeminorm", "AddGroup", "Max.max", "Eq.refl", "Eq", "AddGroupNorm.toAddGroupSeminorm", "AddGroupNorm", "AddGroupNorm.instMax._proof_1", "AddGroupNorm.mk" ]
true
CompHaus.lift
Mathlib.Topology.Category.Stonean.Basic
[ "CategoryTheory.Epi", "CategoryTheory.Projective.factorThru", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "Stonean.compHaus", "Stonean", "True", "CompHausLike.category", "Stonean.instProjectiveCompHausCompHaus", "CategoryTheory.Category.toCategoryStruct", "TopCat", "CompHaus" ]
true
Real.hasDerivAt_tan
Mathlib.Analysis.SpecialFunctions.Trigonometric.ArctanDeriv
[ "NormedCommRing.toSeminormedCommRing", "Real", "instHDiv", "NonUnitalCommRing.toNonUnitalNonAssocCommRing", "Semiring.toModule", "Complex.cos", "IsTopologicalRing.toIsTopologicalSemiring", "Real.denselyNormedField", "Real.instZero", "Real.cos", "congrArg", "IsTopologicalSemiring.toContinuousMu...
true
CategoryTheory.ObjectProperty.IsMonoidal.rec
Mathlib.CategoryTheory.Monoidal.Subcategory
[ "CategoryTheory.MonoidalCategory", "CategoryTheory.ObjectProperty.ContainsUnit", "CategoryTheory.Category.toCategoryStruct", "CategoryTheory.ObjectProperty.TensorLE", "CategoryTheory.ObjectProperty.IsMonoidal", "CategoryTheory.ObjectProperty", "CategoryTheory.ObjectProperty.IsMonoidal.mk", "CategoryTh...
false
Real.smoothTransition.zero_of_nonpos
Mathlib.Analysis.SpecialFunctions.SmoothTransition
[ "Iff.mpr", "Real.instLE", "Real", "Real.instZero", "LE.le", "Real.smoothTransition", "Real.smoothTransition.zero_iff_nonpos", "Zero.toOfNat0", "OfNat.ofNat", "Eq" ]
true
Lean.Server.ServerTask.hasFinished
Lean.Server.ServerTask
[ "IO.hasFinished", "Lean.Server.ServerTask.task", "Lean.Server.ServerTask", "Bool", "BaseIO" ]
true
Finset.Icc_mul_Ico_subset'
Mathlib.Algebra.Group.Pointwise.Finset.Interval
[ "Eq.mpr", "Finset.coe_Ico", "Preorder.toLT", "HMul.hMul", "congrArg", "Finset", "PartialOrder.toPreorder", "Finset.coe_Icc", "Mul", "Finset.coe_mul", "PartialOrder", "id", "Finset.Ico", "HasSubset.Subset", "Finset.Icc", "MulLeftStrictMono", "Set.Ico", "Finset.mul", "Set.Icc", "...
true
_private.Lean.Elab.DocString.Builtin.Parsing.0.Lean.Doc.parseQuotedStrLit.reposition
Lean.Elab.DocString.Builtin.Parsing
[ "String", "Lean.FileMap", "Lean.FileMap.source", "String.Pos.Raw", "_private.Lean.Elab.DocString.Builtin.Parsing.0.Lean.Doc.parseQuotedStrLit.posIndex", "_private.Lean.Elab.DocString.Builtin.Parsing.0.Lean.Doc.parseQuotedStrLit.nextn" ]
true
SemilinearEquivClass.semilinearEquiv._proof_3
Mathlib.Algebra.Module.Equiv.Defs
[ "Equiv.right_inv", "RingHom", "Equiv.toFun", "AddEquivClass.toAddEquiv", "AddCommMonoid", "RingHomInvPair", "EquivLike", "Function.RightInverse", "Semiring", "AddCommSemigroup.toAddCommMagma", "SemilinearEquivClass.toAddEquivClass", "AddEquiv.toEquiv", "Module", "SemilinearEquivClass", "...
false
Std.DTreeMap.Internal.Impl.Const.get_insertManyIfNewUnit_empty_list
Std.Data.DTreeMap.Internal.Lemmas
[ "Unit.unit", "Std.DTreeMap.Internal.Impl.SizedBalancedTree.impl", "Ord", "instForInOfForIn'", "Std.DTreeMap.Internal.Impl.Balanced", "inferInstance", "Std.DTreeMap.Internal.Impl.size", "instOfNatNat", "Id", "Membership", "Std.DTreeMap.Internal.Impl.Const.insertManyIfNewUnit", "Std.DTreeMap.Int...
true
CategoryTheory.Arrow.homMk'_left
Mathlib.CategoryTheory.Comma.Arrow
[ "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "CategoryTheory.Functor.id", "autoParam", "CategoryTheory.CommaMorphism.left", "CategoryTheory.Arrow.homMk'", "CategoryTheory.CategoryStruct.comp", "Eq.refl", "CategoryTheory.Category.toCategoryStruct", "CategoryTheory.Arrow.homMk'._auto_1", ...
true
_private.Mathlib.ModelTheory.Semantics.0.FirstOrder.Language.BoundedFormula.realize_iSup._simp_1_2
Mathlib.ModelTheory.Semantics
[ "List.map", "Membership.mem", "Exists", "List", "And", "List.instMembership", "propext", "List.mem_map", "Eq" ]
false
Int.ofAdd_mul
Mathlib.Algebra.Group.Int.TypeTags
[ "Equiv.instEquivLike", "HMul.hMul", "DivInvMonoid.toZPow", "Equiv", "Int", "Int.instMul", "Multiplicative", "Multiplicative.divInvMonoid", "AddGroup.toSubNegMonoid", "HPow.hPow", "Int.toAdd_zpow", "Int.instAddGroup", "Multiplicative.toAdd", "Multiplicative.ofAdd", "instHPow", "Eq.symm"...
true
Finset.Colex.instLinearOrder._proof_6
Mathlib.Combinatorics.Colex
[ "Colex", "LinearOrder.toDecidableEq", "Finset", "LinearOrder", "PartialOrder.toPreorder", "Preorder.toLE", "SemilatticeInf.toPartialOrder", "LinearOrder.toDecidableLE", "DistribLattice.toLattice", "LE.le", "Finset.Colex.instPartialOrder", "Finset.Colex.instDecidableLE", "Eq.refl", "Eq", ...
false
Int32.eq_sub_iff_add_eq
Init.Data.SInt.Lemmas
[ "Eq.mpr", "Int32.toBitVec", "congrArg", "HSub.hSub", "BitVec.instAdd", "BitVec", "id", "instOfNatNat", "Int32.eq_iff_toBitVec_eq._simp_1", "Int32.toBitVec_sub", "instSubInt32", "Int32.toBitVec_add", "instHAdd", "BitVec.instSub", "Iff", "instHSub", "HAdd.hAdd", "Nat", "congr", "...
true
_private.Mathlib.RingTheory.LocalProperties.Exactness.0.exact_of_isLocalized_span._simp_1_1
Mathlib.RingTheory.LocalProperties.Exactness
[ "Function.Exact", "Submodule", "RingHomSurjective.ids", "AddMonoid.toAddZeroClass", "LinearMap.ker", "LinearMap.instFunLike", "AddZeroClass.toAddZero", "LinearMap.range", "LinearMap", "AddCommMonoid", "AddZero.toZero", "propext", "Semiring", "AddCommMonoid.toAddMonoid", "Module", "Line...
false
_private.Mathlib.Probability.Moments.SubGaussian.0.ProbabilityTheory.Kernel.HasSubgaussianMGF.add._simp_1_7
Mathlib.Probability.Moments.SubGaussian
[ "False", "HMul.hMul", "eq_false", "Mul", "Ne", "NoZeroDivisors", "Zero.toOfNat0", "mul_ne_zero", "OfNat.ofNat", "Eq", "instHMul", "Zero" ]
false
IsAddQuotientCoveringMap.toContinuousConstVAdd
Mathlib.Topology.Covering.Quotient
[ "AddMonoid.toAddSemigroup", "ContinuousConstVAdd", "IsAddQuotientCoveringMap", "TopologicalSpace", "AddAction", "AddAction.toAddSemigroupAction", "AddGroup", "AddSemigroupAction.toVAdd", "AddGroup.toSubNegMonoid", "SubNegMonoid.toAddMonoid" ]
true
_private.Mathlib.Combinatorics.Additive.VerySmallDoubling.0.Finset.isFragment_smul_finset._simp_1
Mathlib.Combinatorics.Additive.VerySmallDoubling
[ "Real", "instHSMul", "instSMulOfMul", "Monoid.toMulOneClass", "Finset", "Group", "Finset.smulFinset", "MulOne.toMul", "DivInvMonoid.toMonoid", "Group.toDivInvMonoid", "MulOneClass.toMulOne", "_private.Mathlib.Combinatorics.Additive.VerySmallDoubling.0.Finset.isFragment_smul_finset", "_privat...
false
ProbabilityTheory.Kernel.stronglyAdapted_densityProcess
Mathlib.Probability.Kernel.Disintegration.Density
[ "Real", "MeasurableSet", "PseudoMetricSpace.toUniformSpace", "ProbabilityTheory.countableFiltration", "ProbabilityTheory.Kernel.densityProcess", "MeasurableSpace", "MeasureTheory.StronglyAdapted", "ProbabilityTheory.Kernel.stronglyMeasurable_countableFiltration_densityProcess", "Nat.instPreorder", ...
true