name
stringlengths
2
347
module
stringlengths
6
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deps
listlengths
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allowCompletion
bool
2 classes
CompactlyCoherentSpace.casesOn
Mathlib.Topology.Compactness.CompactlyCoherentSpace
[ "CompactlyCoherentSpace", "Topology.IsCoherentWith", "setOf", "CompactlyCoherentSpace.mk", "CompactlyCoherentSpace.rec", "TopologicalSpace", "IsCompact", "Set" ]
false
_private.Mathlib.Combinatorics.SimpleGraph.Paths.0.SimpleGraph.Walk.IsCycle.snd_ne_penultimate._proof_1_1
Mathlib.Combinatorics.SimpleGraph.Paths
[ "Lean.RArray.leaf", "False", "of_decide_eq_true", "Int.Linear.le_norm_expr", "Int.Linear.le_unsat", "SimpleGraph.Walk.length", "Classical.byContradiction", "HSub.hSub", "Nat.not_le_eq", "SimpleGraph.Walk", "Nat.ToInt.natCast_ofNat", "id", "Lean.RArray", "Int.instNegInt", "Int.Linear.eq_l...
false
Real.sigmoid_pos
Mathlib.Analysis.SpecialFunctions.Sigmoid
[ "Real.instIsOrderedRing", "Real.partialOrder", "Real", "NonUnitalCommRing.toNonUnitalNonAssocCommRing", "MulZeroClass.toMul", "Nat.ble", "Real.instZero", "Real.instAddMonoid", "AddMonoid.toAddZeroClass", "PartialOrder.toPreorder", "AddGroupWithOne.toAddMonoidWithOne", "Real.instLT", "Divisio...
true
_private.Mathlib.Algebra.Category.MonCat.Basic.0.AddCommMonCat.Hom.mk.noConfusion
Mathlib.Algebra.Category.MonCat.Basic
[ "AddMonoid.toAddZeroClass", "AddCommMonCat", "AddZeroClass.toAddZero", "id", "_private.Mathlib.Algebra.Category.MonCat.Basic.0.AddCommMonCat.Hom.mk", "AddCommMonCat.Hom", "AddCommMonCat.str", "heq_of_eq", "Eq.refl", "HEq", "AddCommMonoid.toAddMonoid", "AddMonoidHom", "Eq", "AddCommMonCat.H...
false
_private.Init.Data.List.Nat.Sublist.0.List.append_sublist_of_sublist_right._proof_1_1
Init.Data.List.Nat.Sublist
[ "False", "Lean.Omega.Constraint.not_sat'_of_isImpossible", "Int.natCast_add", "of_decide_eq_true", "le_of_le_of_eq", "Lean.Omega.Constraint.mk", "Lean.Omega.Constraint.combine_sat'", "Int.add_one_le_of_lt", "HSub.hSub", "Lean.Omega.Int.add_congr", "Lean.Omega.LinearCombo.eval", "Option.some", ...
false
Module.AEval.restrict_equiv_mapSubmodule._proof_3
Mathlib.Algebra.Polynomial.Module.AEval
[ "NonAssocSemiring.toAddCommMonoidWithOne", "Submodule", "Submodule.module._proof_1", "CommSemiring.toSemiring", "DistribMulAction.toDistribSMul", "instDistribSMul", "IsScalarTower", "AddMonoid.toAddZeroClass", "Algebra.toSMul", "Membership.mem", "AddZeroClass.toAddZero", "Algebra.id", "Subty...
false
Mathlib.Meta.NormNum.IsNNRat.to_eq
Mathlib.Tactic.NormNum.Result
[ "NonAssocSemiring.toAddCommMonoidWithOne", "DivInvMonoid.toInv", "instHDiv", "GroupWithZero.toDivisionMonoid", "HMul.hMul", "GroupWithZero.toDivInvMonoid", "DivInvOneMonoid.toInvOneClass", "Monoid.toMulOneClass", "congrArg", "Invertible.invOf", "DivisionSemiring.toGroupWithZero", "DivisionMono...
true
_private.Mathlib.RingTheory.Valuation.Discrete.RankOne.0.Valuation.IsRankOneDiscrete.generator_eq_neg_exp_one_of_surjective._simp_1_4
Mathlib.RingTheory.Valuation.Discrete.RankOne
[ "Nontrivial", "Units.val", "False", "eq_false", "Units", "Units.ne_zero", "MonoidWithZero", "MonoidWithZero.toMulZeroOneClass", "Zero.toOfNat0", "MulZeroOneClass.toMulZeroClass", "OfNat.ofNat", "Eq", "MonoidWithZero.toMonoid", "MulZeroClass.toZero" ]
false
Lean.Meta.Grind.instInhabitedEMatchTheoremConstraint
Lean.Meta.Tactic.Grind.Extension
[ "Lean.Meta.Grind.EMatchTheoremConstraint", "Inhabited", "Lean.Meta.Grind.instInhabitedEMatchTheoremConstraint.default", "Inhabited.mk" ]
true
_private.Mathlib.AlgebraicTopology.SimplicialSet.Nerve.0.CategoryTheory.nerve.δ₂_two._proof_1
Mathlib.AlgebraicTopology.SimplicialSet.Nerve
[ "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", "Int.add_one_le_of_lt", "HSub.hSub", "Lean.Omega.LinearCombo.eval", "Option.some", "id", "instDecidableEqBool", "Int.instNegInt", "Int.sub_nonne...
false
Lean.Server.Test.Runner.Client.MsgEmbed.casesOn
Lean.Server.Test.Runner
[ "Lean.Server.Test.Runner.Client.MsgEmbed.trace", "String", "Lean.Server.Test.Runner.Client.SubexprInfo", "Lean.Server.Test.Runner.Client.InteractiveGoal", "Lean.Server.Test.Runner.Client.MsgEmbed.expr", "Lean.Server.Test.Runner.Client.MsgEmbed.widget", "Lean.Server.Test.Runner.Client.WidgetInstance", ...
false
_private.Std.Tactic.BVDecide.LRAT.Internal.LRATCheckerSound.0.Std.Tactic.BVDecide.LRAT.Internal.addEmptyCaseSound._proof_1_3
Std.Tactic.BVDecide.LRAT.Internal.LRATCheckerSound
[ "False", "eq_false", "Lean.Grind.iff_eq", "congrArg", "true_or", "Classical.byContradiction", "Std.Tactic.BVDecide.LRAT.Internal.Formula.insert_iff", "Std.Tactic.BVDecide.LRAT.Internal.Formula", "Membership.mem", "Std.Tactic.BVDecide.LRAT.Internal.Formula.toList", "Eq.mp", "id", "Lean.Grind....
false
Localization.eq_1
Mathlib.GroupTheory.MonoidLocalization.Basic
[ "Monoid.toMulOneClass", "OreLocalization", "Localization", "OreLocalization.oreSetComm", "CommMonoid.toMonoid", "Monoid.toMulAction", "Eq.refl", "Eq", "CommMonoid", "Submonoid" ]
true
Std.TreeMap.Raw.instCoeWFWFInner
Std.Data.TreeMap.Raw.Basic
[ "Std.TreeMap.Raw.WF.out", "Ordering", "Coe.mk", "Std.TreeMap.Raw.WF", "Std.TreeMap.Raw.inner", "Std.TreeMap.Raw", "Coe", "Std.DTreeMap.Raw.WF" ]
true
NNReal.iSup_div
Mathlib.Data.NNReal.Basic
[ "DivInvMonoid.toInv", "instHDiv", "HMul.hMul", "GroupWithZero.toDivInvMonoid", "Monoid.toMulOneClass", "congrArg", "iSup", "DivisionSemiring.toGroupWithZero", "MulOne.toMul", "HDiv.hDiv", "DivInvMonoid.toMonoid", "NNReal", "ConditionallyCompleteLinearOrder.toConditionallyCompleteLattice", ...
true
List.dropWhile_eq_self_iff
Mathlib.Data.List.TakeWhile
[ "Eq.mpr", "False", "Nat.zero_lt_succ._simp_1", "iff_false", "_private.Mathlib.Data.List.TakeWhile.0.List.dropWhile_eq_self_iff._simp_1_1", "congrArg", "List.filter.match_1", "Bool.false_eq_true", "lt_self_iff_false._simp_1", "not_true_eq_false", "id", "instDecidableEqBool", "instOfNatNat", ...
true
map_mem_separableClosure_iff
Mathlib.FieldTheory.SeparableClosure
[ "Eq.mpr", "congrArg", "CommSemiring.toSemiring", "IntermediateField", "AlgHom", "AlgHom.funLike", "_private.Mathlib.FieldTheory.SeparableClosure.0.map_mem_separableClosure_iff._simp_1_1", "Algebra", "Membership.mem", "Field.toDivisionRing", "Field.instIsLocalRing", "id", "minpoly.algHom_eq",...
true
UInt32.toBitVec_toUInt8
Init.Data.UInt.Lemmas
[ "UInt32.toUInt8", "UInt32.toBitVec", "BitVec.setWidth", "BitVec", "instOfNatNat", "UInt8.toBitVec", "Nat", "UInt32", "OfNat.ofNat", "Eq", "rfl" ]
true
Aesop.PostponedSafeRule.mk._flat_ctor
Aesop.Tree.UnsafeQueue
[ "Aesop.PostponedSafeRule.mk", "Aesop.SafeRule", "Aesop.PostponedSafeRule", "Aesop.RuleTacOutput" ]
false
AddGroupSeminorm.toSeminormedAddGroup._proof_1
Mathlib.Analysis.Normed.Group.Defs
[ "AddGroup.toSubtractionMonoid", "NegZeroClass.toNeg", "Real.partialOrder", "Real", "Real.instZero", "congrArg", "AddMonoid.toAddZeroClass", "AddZeroClass.toAddZero", "SubtractionMonoid.toSubNegZeroMonoid", "AddGroupSeminorm.funLike", "SubNegZeroMonoid.toNegZeroClass", "AddZero.toZero", "inst...
false
CategoryTheory.instHasLimitsInd
Mathlib.CategoryTheory.Limits.Indization.Category
[ "CategoryTheory.Functor", "Opposite", "CategoryTheory.Limits.functorCategoryHasLimitsOfSize", "CategoryTheory.Functor.category", "CategoryTheory.Ind", "CategoryTheory.Ind.inclusion", "CategoryTheory.Limits.HasLimits", "CategoryTheory.hasLimits_of_hasLimits_createsLimits", "UnivLE.self", "CategoryT...
true
_private.Mathlib.GroupTheory.Perm.Cycle.Type.0.Equiv.Perm.IsThreeCycle.nodup_iff_mem_support._proof_1_450
Mathlib.GroupTheory.Perm.Cycle.Type
[ "List.countP", "Finset.mem_singleton", "of_eq_false", "Lean.Grind.CommRing.le_norm_expr", "Lean.Grind.instOrderedRingInt", "Lean.RArray.leaf", "False", "Equiv.instEquivLike", "Lean.Grind.nestedProof", "List.idxOfNth_lt_length_iff", "eq_false", "instLawfulBEq", "List.Pairwise", "Lean.Grind....
false
Nat.choose_lt_pow
Mathlib.Data.Nat.Choose.Bounds
[ "Nat.choose", "Nat.instMonoid", "Nat.descFactorial_lt_pow", "Ne", "instOfNatNat", "LE.le", "instLENat", "Monoid.toPow", "HPow.hPow", "Nat.instPreorder", "Nat", "LT.lt", "instHPow", "instLTNat", "OfNat.ofNat", "LE.le.trans_lt", "Nat.choose_le_descFactorial", "Nat.descFactorial" ]
true
String.Slice.SplitIterator.instIteratorIdSubslice.eq_1
Init.Data.String.Slice
[ "Pure.pure", "Std.Shrink.deflate", "String.Slice.Subslice", "False", "Std.IterStep", "String.Slice.SplitIterator.instIteratorIdSubslice.match_1", "Std.Iterator.mk", "Std.Shrink", "Monad.toApplicative", "String.Slice.Pattern.SearchStep", "Std.PlausibleIterStep", "String.Slice.SplitIterator.inst...
true
BitVec.forall_zero_iff
Init.Data.BitVec.Decidable
[ "HEq.refl", "False.elim", "noConfusion_of_Nat", "BitVec", "instOfNatNat", "BitVec.ofNat", "Nat.le.step", "GetElem.getElem", "Iff", "Nat.le", "Nat", "LT.lt", "Iff.intro", "Bool", "Eq.ndrec", "Nat.ctorIdx", "BitVec.instGetElemNatBoolLt", "Eq.refl", "HEq", "Nat.le.refl", "instLT...
true
_private.Mathlib.Topology.DiscreteSubset.0.isClosed_and_discrete_iff._simp_1_1
Mathlib.Topology.DiscreteSubset
[ "OrderBot.toBot", "PartialOrder.toPreorder", "Preorder.toLE", "Disjoint", "OrderBot", "disjoint_iff", "SemilatticeInf.toPartialOrder", "Bot.bot", "SemilatticeInf.toMin", "SemilatticeInf", "propext", "Eq", "Min.min" ]
false
Subspace.orderIsoFiniteCodimDim._proof_2
Mathlib.LinearAlgebra.Dual.Lemmas
[ "Iff.mpr", "Submodule", "Algebra.to_smulCommClass", "Semiring.toModule", "Equiv.instEquivLike", "OrderDual.ofDual", "Submodule.dualCoannihilator", "Submodule.Quotient.addCommGroup", "CommSemiring.toSemiring", "AddCommGroup.toAddCommMonoid", "Subspace.finiteDimensional_quot_dualCoannihilator_iff"...
false
Lean.Compiler.LCNF.instBEqParam.beq
Lean.Compiler.LCNF.Basic
[ "Lean.instBEqFVarId", "Lean.Expr.instBEq", "Lean.Expr", "Bool.and", "Lean.FVarId", "instDecidableEqBool", "Lean.Compiler.LCNF.Purity", "instBEqOfDecidableEq", "BEq.beq", "_private.Lean.Compiler.LCNF.Basic.0.Lean.Compiler.LCNF.instBEqParam.beq.match_1", "Bool", "Lean.Name", "Lean.Compiler.LCN...
true
_private.Mathlib.Data.Seq.Parallel.0.Computation.parallel.aux1.eq_1
Mathlib.Data.Seq.Parallel
[ "Stream'.Seq", "Computation.rmap", "Sum", "Prod.mk", "_private.Mathlib.Data.Seq.Parallel.0.Computation.parallel.aux2", "_private.Mathlib.Data.Seq.Parallel.0.Computation.parallel.aux1", "Computation", "Stream'.Seq.nil", "List.cons", "_private.Mathlib.Data.Seq.Parallel.0.Computation.parallel.aux1.ma...
true
ULift.seminormedRing
Mathlib.Analysis.Normed.Ring.Basic
[ "Semiring.toNatCast", "Ring.mk", "ULift.seminormedRing._proof_13", "NonUnitalSeminormedRing", "ULift.seminormedRing._proof_20", "ULift.seminormedRing._proof_9", "ULift.seminormedRing._proof_6", "Semiring.toOne", "ULift.seminormedRing._proof_1", "NonUnitalNonAssocRing.toMul", "ULift.seminormedRin...
true
TensorProduct.AlgebraTensorModule.congr_symm_tmul
Mathlib.LinearAlgebra.TensorProduct.Tower
[ "LinearEquiv.symm", "CommSemiring.toSemiring", "DistribMulAction.toDistribSMul", "IsScalarTower", "TensorProduct.addCommMonoid", "AddMonoid.toAddZeroClass", "Algebra", "Algebra.toSMul", "AddZeroClass.toAddZero", "DistribSMul.toSMulZeroClass", "AddCommMonoid", "TensorProduct.AlgebraTensorModule...
true
_private.Mathlib.RingTheory.QuasiFinite.Basic.0.Algebra.QuasiFinite.of_isIntegral_of_finiteType._simp_1_2
Mathlib.RingTheory.QuasiFinite.Basic
[ "CommSemiring.toSemiring", "IsScalarTower", "Algebra", "RingHom", "Algebra.toSMul", "algebraMap", "CommSemiring", "RingHom.instFunLike", "Semiring", "Eq.symm", "Semiring.toNonAssocSemiring", "Eq", "DFunLike.coe", "IsScalarTower.algebraMap_apply" ]
false
CategoryTheory.Triangulated.SpectralObject.recOn
Mathlib.CategoryTheory.Triangulated.SpectralObject
[ "CategoryTheory.Triangulated.SpectralObject.rec", "CategoryTheory.Functor", "CategoryTheory.Triangulated.SpectralObject", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "CategoryTheory.Functor.Additive", "PartialOrder.toPreorder", "CategoryTheory.Functor.category", "CategoryTheory.Triangula...
false
List.min?_eq_none_iff._simp_1
Init.Data.List.MinMax
[ "List.min?", "Min", "Option.none", "List", "propext", "Eq", "List.min?_eq_none_iff", "List.nil", "Option" ]
false
_private.Mathlib.Order.Cover.0.WithTop.coe_wcovBy_top._simp_1_2
Mathlib.Order.Cover
[ "Set.Ioi", "WithTop.instPreorder", "WithTop.some", "WithTop.image_coe_Ioi", "WithTop.top", "Set.image", "Top.top", "Eq.symm", "Eq", "Set.Ioo", "Preorder", "WithTop", "Set" ]
false
Std.DTreeMap.Internal.Impl.balanceLErase._proof_14
Std.Data.DTreeMap.Internal.Balancing
[ "False", "HMul.hMul", "Std.DTreeMap.Internal.Impl.Balanced", "Std.DTreeMap.Internal.Impl.size", "Std.DTreeMap.Internal.Impl.inner", "instMulNat", "Std.DTreeMap.Internal.delta", "Std.DTreeMap.Internal.Impl.leaf", "Nat", "LT.lt", "instLTNat", "_private.Std.Data.DTreeMap.Internal.Balancing.0.Std....
false
_private.Mathlib.LinearAlgebra.Prod.0.Submodule.map_inl._simp_1_7
Mathlib.LinearAlgebra.Prod
[ "Submodule", "Submodule.mem_prod", "Membership.mem", "Submodule.prod", "Prod.fst", "AddCommMonoid", "And", "Submodule.setLike", "propext", "Semiring", "Module", "Prod", "Prod.instModule", "Eq", "Prod.snd", "SetLike.instMembership", "Prod.instAddCommMonoid" ]
false
AddMonoidHom.ext_nat
Mathlib.Algebra.Group.Nat.Hom
[ "AddMonoidHom.instAddMonoidHomClass", "AddMonoid.toAddZeroClass", "Nat.instAddMonoid", "AddZeroClass.toAddZero", "instOfNatNat", "AddZeroClass", "Nat", "AddMonoidHom", "AddMonoidHom.instFunLike", "OfNat.ofNat", "Eq", "DFunLike.coe", "ext_nat'" ]
true
_private.Mathlib.Data.Option.Basic.0.Option.iget_of_mem.match_1_1
Mathlib.Data.Option.Basic
[ "Unit.unit", "Option.instMembership", "HEq.refl", "Option.some", "Membership.mem", "Eq.casesOn", "Unit", "eq_of_heq", "Eq.ndrec", "Eq.refl", "HEq", "Eq.symm", "Eq", "Option" ]
false
Complex.measurableEquivRealProd
Mathlib.MeasureTheory.Measure.Lebesgue.Complex
[ "NormedCommRing.toSeminormedCommRing", "Real", "Complex.borelSpace", "Complex.instNormedAddCommGroup", "Complex.measurableEquivRealProd._proof_1", "NormedSpace.toModule", "Complex.instNormedField", "PseudoMetricSpace.toUniformSpace", "instTopologicalSpaceProd", "Real.semiring", "Complex.equivRea...
true
_private.Mathlib.Data.ENat.Pow.0.ENat.epow_top._proof_1_3
Mathlib.Data.ENat.Pow
[ "instLawfulOrderLT_mathlib", "False", "Lean.Grind.not_not", "instTopENat", "Classical.byContradiction", "Lean.Grind.Order.lt_eq_false", "Eq.mp", "instPreorderENat", "id", "instLEENat", "ENat", "LT.lt", "True", "eq_true", "Lean.Grind.intro_with_eq", "instLTENat", "Top.top", "Eq.symm...
false
Polynomial.divModByMonicAux.congr_simp
Mathlib.Algebra.Polynomial.Div
[ "Eq.rec", "Polynomial.divModByMonicAux", "Polynomial", "Polynomial.Monic", "Eq.ndrec", "Eq.refl", "Prod", "Ring.toSemiring", "Eq", "Ring" ]
true
List.infix_append'
Init.Data.List.Sublist
[ "Eq.mpr", "List.append_assoc", "congrArg", "List.infix_append", "id", "List.IsInfix", "instHAppendOfAppend", "List", "List.instAppend", "Eq.symm", "Eq", "HAppend.hAppend" ]
true
LinearMap.re_inner_adjoint_mul_self_nonneg
Mathlib.Analysis.InnerProductSpace.Adjoint
[ "Algebra.cast", "Real.instIsOrderedRing", "Norm.norm", "Eq.mpr", "InnerProductSpace.toNormedSpace", "NormedCommRing.toSeminormedCommRing", "algebraMap.coe_pow._simp_1", "Real.partialOrder", "Real.instLE", "Real", "IsOrderedRing.toPosMulMono", "RCLike.ofReal_re", "RCLike.toNormedAlgebra", "...
true
Algebra.norm_eq_of_ringEquiv
Mathlib.RingTheory.Norm.Basic
[ "Module.Basis.coe_mapCoeffs", "RingEquiv.apply_symm_apply", "Finsupp.instFunLike", "Eq.mpr", "False", "LinearEquiv.symm", "Algebra.norm_eq_matrix_det", "CommRing", "Algebra.to_smulCommClass", "instHSMul", "MonoidHom.instFunLike", "NonUnitalCommRing.toNonUnitalNonAssocCommRing", "Matrix.add",...
true
_private.Lean.Elab.PatternVar.0.Lean.Elab.Term.CollectPatternVars.collect.processId.match_1
Lean.Elab.PatternVar
[ "Unit.unit", "Lean.ConstructorVal", "Option.casesOn", "Option.some", "Nat.hasNotBit", "Option.none", "Unit", "Lean.ConstantInfo.ctorIdx", "Lean.ConstantInfo.ctorInfo", "Lean.ConstantInfo", "_private.Lean.Elab.PatternVar.0.Lean.Elab.Term.CollectPatternVars.collect.processId._sparseCasesOn_1", "...
false
_private.Mathlib.Tactic.Linter.FindDeprecations.0.Mathlib.Tactic.rewriteOneFile.match_7
Mathlib.Tactic.Linter.FindDeprecations
[ "Nat.hasNotBit", "String.Pos.Raw", "List.cons", "List", "_private.Mathlib.Tactic.Linter.FindDeprecations.0.Mathlib.Tactic.parseLine._sparseCasesOn_1", "List.ctorIdx", "_private.Mathlib.Tactic.Linter.FindDeprecations.0.Mathlib.Tactic.parseLine._sparseCasesOn_2", "List.nil" ]
false
_private.Lean.Meta.Transform.0.Lean.Meta.unfoldIfArgIsAppOf._sparseCasesOn_1
Lean.Meta.Transform
[ "Lean.ConstantInfo.recInfo", "Lean.ConstantInfo.defnInfo", "Lean.ConstructorVal", "Nat.ne_of_beq_eq_false", "Lean.QuotVal", "Lean.ConstantInfo.inductInfo", "Lean.ConstantInfo.opaqueInfo", "Nat.shiftRight", "Lean.ConstantInfo.thmInfo", "Nat.hasNotBit", "Lean.ConstantInfo.rec", "instOfNatNat", ...
false
CategoryTheory.Limits.HasWideCoequalizer
Mathlib.CategoryTheory.Limits.Shapes.WideEqualizers
[ "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "CategoryTheory.Limits.WalkingParallelFamily", "CategoryTheory.Limits.parallelFamily", "CategoryTheory.Limits.WalkingParallelFamily.category", "CategoryTheory.Limits.HasColimit", "CategoryTheory.Category.toCategoryStruct", "CategoryTheory.Categor...
true
IsCompact.of_subset_of_specializes
Mathlib.Topology.Inseparable
[ "Specializes", "Filter.NeBot", "Specializes.clusterPt", "PartialOrder.toPreorder", "Preorder.toLE", "Membership.mem", "Exists", "HasSubset.Subset", "LE.le", "And.casesOn", "TopologicalSpace", "ClusterPt", "And", "Exists.casesOn", "And.intro", "Exists.intro", "Filter.principal", "LE...
true
_private.Mathlib.Analysis.SpecificLimits.Normed.0.TFAE_exists_lt_isLittleO_pow.match_1_7
Mathlib.Analysis.SpecificLimits.Normed
[ "Real", "Real.instZero", "Asymptotics.IsBigO", "Membership.mem", "Exists", "Monoid.toPow", "And.casesOn", "Filter.atTop", "Real.instMonoid", "And", "Exists.casesOn", "HPow.hPow", "Nat.instPreorder", "Nat", "And.intro", "Exists.intro", "Zero.toOfNat0", "instHPow", "OfNat.ofNat", ...
false
_private.Lean.Meta.Tactic.Grind.PropagateInj.0.Lean.Meta.Grind.getInvFor?
Lean.Meta.Tactic.Grind.PropagateInj
[ "Pure.pure", "Lean.Meta.Grind.GrindM", "Lean.Meta.Sym.ExprPtr.mk", "Lean.mkAppN", "Lean.Meta.Grind.InjectiveInfo.mk", "Lean.Meta.Grind.InjectiveInfo.β", "Lean.Meta.Grind.GoalState.facts", "Lean.Meta.Grind.Goal", "StateRefT'.instAlternativeOfMonad", "Lean.Core.instMonadLiftIOCoreM", "Lean.Meta.Gr...
true
CategoryTheory.Abelian.SpectralObject.homologyDataIdId._auto_1
Mathlib.Algebra.Homology.SpectralObject.Page
[ "Lean.Syntax.node", "Array.push", "Lean.Syntax", "Array.empty", "Lean.SourceInfo.none", "Lean.Name.mkStr1", "Lean.Name.mkStr4", "Lean.mkAtom" ]
false
Quaternion.imI_sub
Mathlib.Algebra.Quaternion
[ "NegZeroClass.toNeg", "CommRing", "NonUnitalCommRing.toNonUnitalNonAssocCommRing", "QuaternionAlgebra.imI", "CommRing.toNonUnitalCommRing", "AddGroupWithOne.toAddGroup", "AddGroupWithOne.toAddMonoidWithOne", "HSub.hSub", "NonUnitalNonAssocSemiring.toMulZeroClass", "NonUnitalNonAssocRing.toNonUnita...
true
LE.le.lt_or_eq_dec
Mathlib.Order.Basic
[ "Preorder.toLT", "PartialOrder.toPreorder", "Preorder.toLE", "PartialOrder", "Decidable.lt_or_eq_of_le", "LE.le", "DecidableLE", "LT.lt", "Or", "Eq" ]
true
Int.dvd_add_self_mul
Init.Data.Int.DivMod.Lemmas
[ "Eq.mpr", "Dvd.dvd", "HMul.hMul", "congrArg", "Iff.rfl", "id", "Int", "Int.dvd_add_mul_self", "Int.instDvd", "Int.instMul", "instHAdd", "Iff", "HAdd.hAdd", "propext", "Int.instAdd", "Int.mul_comm", "Eq", "instHMul" ]
true
Lean.Meta.Grind.instInhabitedEntry
Lean.Meta.Tactic.Grind.Extension
[ "Lean.Meta.Grind.Entry", "Inhabited", "Lean.Meta.Grind.instInhabitedEntry.default", "Inhabited.mk" ]
true
List.findIdx_singleton
Init.Data.List.Find
[ "cond", "Bool.cond_eq_ite_iff._simp_1", "congrArg", "instDecidableEqBool", "instOfNatNat", "List.cons", "Bool.true", "instHAdd", "List.findIdx_cons", "HAdd.hAdd", "Nat", "True", "eq_self", "List.findIdx", "Bool", "of_eq_true", "instAddNat", "congrFun'", "Nat.zero_add", "OfNat.o...
true
Pi.Lex.wellFounded
Mathlib.Data.DFinsupp.WellFounded
[ "Eq.mpr", "Fintype.ofFinite", "trivial", "Equiv.instEquivLike", "Lean.Meta.instFastSubsingletonForall", "HEq.refl", "Finite", "Function.swap", "IsStrictOrder.toIsTrans", "Membership.mem", "Lean.Meta.FastSubsingleton.elim", "Eq.casesOn", "WellFoundedRelation.rel", "isEmpty_or_nonempty", "...
true
LinearEquiv.conjRingEquiv._proof_1
Mathlib.Algebra.Module.Equiv.Basic
[ "RingHom", "RingHomInvPair.triples₂", "LinearMap.instAdd", "Equiv.toFun", "LinearMap", "AddCommMonoid", "RingHomInvPair", "instHAdd", "HAdd.hAdd", "LinearEquiv.arrowCongrAddEquiv", "LinearEquiv", "Semiring", "AddEquiv.map_add'", "AddEquiv.toEquiv", "Module", "RingHom.id", "RingHomCom...
false
_private.Mathlib.Topology.Instances.Irrational.0.dense_irrational._simp_1_2
Mathlib.Topology.Instances.Irrational
[ "Membership.mem", "Set.instSingletonSet", "Set.mem_singleton_iff", "propext", "Singleton.singleton", "Eq", "Set.instMembership", "Set" ]
false
InfiniteGalois.GaloisCoinsertionIntermediateFieldSubgroup._proof_2
Mathlib.FieldTheory.Galois.Infinite
[ "OrderDual.toDual", "IntermediateField.instPartialOrder", "Equiv.instEquivLike", "IntermediateField", "PartialOrder.toPreorder", "Algebra", "Preorder.toLE", "Function.comp", "IntermediateField.fixedField", "InfiniteGalois.fixedField_fixingSubgroup", "IntermediateField.fixingSubgroup", "Equiv",...
false
Aesop.RuleStatsTotals.compareByTotalElapsed
Aesop.Stats.Basic
[ "Aesop.Nanos", "Ordering", "Aesop.instOrdNanos", "instHAdd", "HAdd.hAdd", "compareOn", "Aesop.RuleStatsTotals.elapsedFailed", "Aesop.RuleStatsTotals.elapsedSuccessful", "Aesop.RuleStatsTotals", "Aesop.Nanos.instAdd" ]
true
CategoryTheory.toPresheafToSheafCompComposeAndSheafify
Mathlib.CategoryTheory.Sites.PreservesSheafification
[ "CategoryTheory.Functor", "Opposite", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "CategoryTheory.Functor.category", "CategoryTheory.Functor.comp", "CategoryTheory.Adjunction.unit", "CategoryTheory.Functor.id", "CategoryTheory.presheafToSheaf", "CategoryTheory.sheafificationAdjunction"...
true
Isometry.isometryEquivOnRange
Mathlib.Topology.MetricSpace.Isometry
[ "instPseudoEMetricSpaceSubtype", "Membership.mem", "Set.Elem", "Equiv", "EMetricSpace.toPseudoEMetricSpace", "PseudoEMetricSpace", "EMetricSpace", "Isometry.injective", "Equiv.ofInjective", "IsometryEquiv.mk", "Set.range", "Set.instMembership", "IsometryEquiv", "Isometry", "Set" ]
true
_private.Lean.Meta.LevelDefEq.0.Lean.Meta.solve.match_3
Lean.Meta.LevelDefEq
[ "Lean.Level.ctorIdx", "_private.Lean.Meta.LevelDefEq.0.Lean.Meta.solve._sparseCasesOn_4", "_private.Lean.Meta.LevelDefEq.0.Lean.Meta.tryApproxSelfMax._sparseCasesOn_1", "_private.Lean.Meta.LevelDefEq.0.Lean.Meta.solve._sparseCasesOn_3", "Lean.Level.mvar", "Nat.hasNotBit", "Lean.Level.imax", "Lean.Leve...
false
Std.Do.SPred.entails.trans'
Std.Do.SPred.DerivedLaws
[ "Std.Do.SPred.entails", "Std.Do.SPred.entails.rfl", "Std.Do.SPred.entails.trans", "Std.Do.SPred.and_intro", "List", "Std.Do.SPred", "Std.Do.SPred.and" ]
true
Iff.not
Mathlib.Logic.Basic
[ "Iff", "Not", "not_congr" ]
true
_private.Mathlib.RingTheory.PowerSeries.Schroder.0.PowerSeries.largeSchroderSeries_eq_one_add_X_mul_largeSchroderSeries_add_X_mul_largeSchroderSeries_sq._proof_1_3
Mathlib.RingTheory.PowerSeries.Schroder
[ "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
_private.Mathlib.Algebra.Lie.CartanExists.0.LieAlgebra.engel_isBot_of_isMin._simp_1_28
Mathlib.Algebra.Lie.CartanExists
[ "And", "propext", "not_and", "Eq", "Not" ]
false
Subarray.mkSlice_roc_eq_mkSlice_rcc
Init.Data.Slice.Array.Lemmas
[ "Std.Rco.Sliceable.mkSlice", "Subarray", "congrArg", "instSliceableSubarrayNat_3", "instOfNatNat", "instHAdd", "HAdd.hAdd", "Nat", "congr", "instSliceableSubarrayNat_1", "True", "eq_self", "of_eq_true", "instAddNat", "Subarray.mkSlice_rcc_eq_mkSlice_rco", "Std.Rco.mk", "OfNat.ofNat",...
true
AddSubmonoid.toNatSubmodule._proof_2
Mathlib.Algebra.Module.Submodule.Lattice
[ "Submodule", "instHSMul", "AddSubmonoid.instAddSubmonoidClass", "Submodule.toAddSubmonoid", "AddMonoid.toAddZeroClass", "AddMonoid.toNSMul", "AddSubsemigroup.carrier", "Membership.mem", "AddZeroClass.toAddZero", "nsmul_mem", "AddSubmonoid.toAddSubsemigroup", "AddSubmonoid", "AddCommMonoid", ...
false
List.findIdxNth.eq_1
Batteries.Data.List.Lemmas
[ "instOfNatNat", "List.findIdxNth", "List", "Nat", "List.findIdxNth.go", "Bool", "Eq.refl", "OfNat.ofNat", "Eq" ]
true
_private.Mathlib.Geometry.Manifold.VectorField.LieBracket.0.VectorField.mpullback_mlieBracket._simp_1_2
Mathlib.Geometry.Manifold.VectorField.LieBracket
[ "NormedSpace", "mdifferentiableWithinAt_univ", "Set.univ", "MDifferentiableAt", "TopologicalSpace", "ModelWithCorners", "propext", "NontriviallyNormedField", "NontriviallyNormedField.toNormedField", "Eq.symm", "NormedAddCommGroup.toSeminormedAddCommGroup", "Eq", "MDifferentiableWithinAt", ...
false
Lean.IR.FnBody.set
Lean.Compiler.IR.Basic
[ "Lean.IR.Arg", "Lean.IR.FnBody", "Lean.IR.VarId", "Nat", "Lean.IR.FnBody.set" ]
true
Std.Tactic.BVDecide.BVUnOp.arithShiftRightConst.injEq
Std.Tactic.BVDecide.Bitblast.BVExpr.Basic
[ "Eq.propIntro", "Std.Tactic.BVDecide.BVUnOp", "Nat", "Eq.ndrec", "Eq.refl", "Std.Tactic.BVDecide.BVUnOp.arithShiftRightConst", "Eq", "Std.Tactic.BVDecide.BVUnOp.arithShiftRightConst.inj" ]
true
Real.instNormedAddCommGroupAngle._proof_30
Mathlib.Analysis.SpecialFunctions.Trigonometric.Angle
[ "NormedCommRing.toSeminormedCommRing", "Real.instLE", "Real", "Real.pi", "HMul.hMul", "Real.Angle", "Dist.mk", "AddCommGroup.toAddGroup", "LE.le", "Real.instAddCommGroup", "QuotientAddGroup.instSeminormedAddCommGroup._proof_4", "Real.instAdd", "instHAdd", "Real.instNormedAddCommGroupAngle....
false
Std.IterM.TerminationMeasures.Finite.mk._flat_ctor
Init.Data.Iterators.Basic
[ "Std.IterM.TerminationMeasures.Finite", "Std.Iterator", "Std.IterM.TerminationMeasures.Finite.mk", "Std.IterM" ]
false
Lean.JsonNumber.recOn
Lean.Data.Json.Basic
[ "Lean.JsonNumber", "Lean.JsonNumber.mk", "Int", "Nat", "Lean.JsonNumber.rec" ]
false
IsZGroup.instQuotientSubgroupOfFinite
Mathlib.GroupTheory.SpecificGroups.ZGroup
[ "Finite", "Group", "QuotientGroup.instHasQuotientSubgroup", "Subgroup", "IsZGroup", "HasQuotient.Quotient", "QuotientGroup.mk'", "QuotientGroup.Quotient.group", "QuotientGroup.mk'_surjective", "IsZGroup.of_surjective", "Subgroup.Normal" ]
true
CartanMatrix.C
Mathlib.Data.Matrix.Cartan
[ "Equiv.instEquivLike", "Matrix", "Matrix.of", "instDecidableEqFin", "HSub.hSub", "Equiv", "Int.instNegInt", "instSubNat", "instOfNatNat", "Int", "Fin.val", "instHAdd", "instHSub", "instOfNat", "HAdd.hAdd", "Nat", "instAddNat", "instDecidableEqNat", "OfNat.ofNat", "Fin", "Eq",...
true
_private.Mathlib.Logic.Nonempty.0.exists_const_iff.match_1_1
Mathlib.Logic.Nonempty
[ "Exists", "Exists.casesOn", "Exists.intro" ]
false
Set.disjoint_image_inl_image_inr
Mathlib.Data.Set.Image
[ "False", "Sum.ctorIdx", "congrArg", "False.elim", "noConfusion_of_Nat", "Disjoint", "Membership.mem", "SemilatticeInf.toPartialOrder", "Sum", "BiheytingAlgebra.toHeytingAlgebra", "Sum.inl", "BiheytingAlgebra.toCoheytingAlgebra", "Set.disjoint_image_image", "BooleanAlgebra.toBiheytingAlgebr...
true
Int8.not_xor
Init.Data.SInt.Bitwise
[ "BitVec.instXorOp", "instComplementInt8", "congrArg", "Int8.toBitVec_xor", "Int8", "BitVec", "instOfNatNat", "Int8.toBitVec_not", "BitVec.not_xor_left", "instXorOpInt8", "Nat", "congr", "True", "HXor.hXor", "Complement.complement", "eq_self", "of_eq_true", "Int8.toBitVec", "congr...
true
StrictConvexOn.strictMonoOn_derivWithin
Mathlib.Analysis.Convex.Deriv
[ "NormedCommRing.toSeminormedCommRing", "Real.partialOrder", "Real", "Preorder.toLT", "Real.denselyNormedField", "CommSemiring.toSemiring", "NormedSpace.toModule", "PseudoMetricSpace.toUniformSpace", "StrictConvexOn", "Algebra.toSMul", "Membership.mem", "Real.semiring", "Algebra.id", "slope...
true
Lean.LeanOptionValue._sizeOf_inst
Lean.Util.LeanOptions
[ "Lean.LeanOptionValue._sizeOf_1", "SizeOf.mk", "SizeOf", "Lean.LeanOptionValue" ]
false
CategoryTheory.AddMon.trivial_addMon_zero
Mathlib.CategoryTheory.Monoidal.Mon_
[ "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "CategoryTheory.MonoidalCategory", "CategoryTheory.CategoryStruct.id", "CategoryTheory.AddMon.trivial", "CategoryTheory.AddMonObj.zero", "CategoryTheory.AddMon.addMon", "CategoryTheory.MonoidalCategoryStruct.tensorUnit", "Eq.refl", "CategoryT...
true
CategoryTheory.Bicategory.InducedBicategory.Hom₂.casesOn
Mathlib.CategoryTheory.Bicategory.InducedBicategory
[ "CategoryTheory.Bicategory.InducedBicategory.categoryStruct", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "CategoryTheory.Bicategory.InducedBicategory.Hom₂.rec", "CategoryTheory.Bicategory.toCategoryStruct", "CategoryTheory.Bicategory.InducedBicategory.Hom.hom", "CategoryTheory.Bicategory", ...
false
Std.HashMap.Raw.valuesIter
Std.Data.HashMap.Iterator
[ "Pure.pure", "Std.Iterators.Types.ArrayIterator", "Monad.toApplicative", "MonadLiftT.monadLift", "instMonadLiftT", "Std.Iter.toIterM", "Id", "Applicative.toPure", "Std.HashMap.Raw", "Std.DHashMap.Internal.AssocList.AssocListIterator", "Std.Iterators.instMonadPostconditionT", "Std.Iter", "Std...
true
CategoryTheory.ObjectProperty.extensionProductIter_le_of_isTriangulatedClosed₂'
Mathlib.CategoryTheory.Triangulated.Subcategory
[ "Eq.mpr", "Nat.recAux", "Pi.preorder", "CategoryTheory.ObjectProperty.le_isoClosure", "CategoryTheory.ObjectProperty.extensionProductIter", "congrArg", "CategoryTheory.Functor.Additive", "Prop.le", "PartialOrder.toPreorder", "CategoryTheory.shiftFunctor", "id", "instOfNatNat", "Int", "Int....
true
Dioph.«term_D*_»
Mathlib.NumberTheory.Dioph
[ "Lean.ParserDescr.trailingNode", "instOfNatNat", "Lean.ParserDescr.binary", "Nat", "Lean.ParserDescr.symbol", "Lean.Name.mkStr2", "Lean.ParserDescr.cat", "OfNat.ofNat", "Lean.Name.mkStr1", "Lean.TrailingParserDescr" ]
true
Turing.ToPartrec.Code.brecOn.eq
Mathlib.Computability.TuringMachine.Config
[ "Turing.ToPartrec.Code.brecOn", "Turing.ToPartrec.Code.brecOn.go", "Turing.ToPartrec.Code.succ", "Turing.ToPartrec.Code.tail", "Turing.ToPartrec.Code.casesOn", "Turing.ToPartrec.Code.comp", "Turing.ToPartrec.Code.case", "Eq.refl", "Turing.ToPartrec.Code.zero'", "Turing.ToPartrec.Code.below", "Eq...
true
RootPairing.reflectionPerm_root
Mathlib.LinearAlgebra.RootSystem.Defs
[ "CommRing", "Algebra.to_smulCommClass", "instHSMul", "NonUnitalCommRing.toNonUnitalNonAssocCommRing", "Semiring.toModule", "Equiv.instEquivLike", "CommRing.toNonUnitalCommRing", "CommSemiring.toSemiring", "DistribMulAction.toDistribSMul", "AddCommGroup.toAddCommMonoid", "AddMonoid.toAddZeroClass...
true
_private.Lean.DocString.Extension.0.Lean.VersoModuleDocs.DocFrame.mk.noConfusion
Lean.DocString.Extension
[ "String", "Lean.Doc.Block", "id", "_private.Lean.DocString.Extension.0.Lean.VersoModuleDocs.DocFrame.mk", "Array", "_private.Lean.DocString.Extension.0.Lean.VersoModuleDocs.DocFrame", "Empty", "_private.Lean.DocString.Extension.0.Lean.VersoModuleDocs.DocFrame.noConfusion", "Lean.Doc.Part", "Lean.E...
false
Std.DTreeMap.Internal.Impl.link.eq_1
Std.Data.DTreeMap.Internal.Model
[ "Std.DTreeMap.Internal.Impl.link._proof_28", "Std.DTreeMap.Internal.Impl.Tree.mk", "HMul.hMul", "Std.DTreeMap.Internal.Impl.link._proof_36", "Std.DTreeMap.Internal.Impl.link._proof_26", "Std.DTreeMap.Internal.Impl.link._proof_18", "Std.DTreeMap.Internal.Impl.link", "Std.DTreeMap.Internal.Impl.link._pr...
true
CategoryTheory.cechNerveTerminalFrom._proof_1
Mathlib.AlgebraicTopology.CechNerve
[ "Opposite", "SimplexCategory.instFintypeToTypeOrderHomFinHAddNatLenOfNat", "CategoryTheory.Discrete.functor", "CategoryTheory.Limits.HasLimit", "instOfNatNat", "Finite.of_fintype", "CategoryTheory.Limits.hasLimitOfHasLimitsOfShape", "instHAdd", "CategoryTheory.discreteCategory", "HAdd.hAdd", "Na...
false
Module.Relations.instQuotient
Mathlib.Algebra.Module.Presentation.Basic
[ "Module.Relations.instQuotient._proof_6", "Module.Relations.Quotient", "AddCommGroup.toAddCommMonoid", "Module.Relations.instAddCommGroupQuotient", "Module.Relations.instQuotient._proof_3", "Module.Relations.instQuotient._aux_1", "Module.mk", "DistribMulAction.mk", "SMul.mk", "SemigroupAction.mk",...
true
CategoryTheory.Pseudofunctor.DescentData.pullFunctorObjHom_eq._proof_17
Mathlib.CategoryTheory.Sites.Descent.DescentData
[ "Eq.mpr", "CategoryTheory.Category.assoc", "CategoryTheory.Pseudofunctor.DescentData.pullFunctorObjHom_eq._auto_7", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "congrArg", "Eq.mp", "id", "Mathlib.Tactic.Reassoc.eq_whisker'", "CategoryTheory.Pseudofunctor.DescentData.pullFunctorObjHom_e...
false
NegPart.mk._flat_ctor
Mathlib.Algebra.Notation
[ "NegPart.mk", "NegPart" ]
false
Orientation.oangle_sign_neg_right
Mathlib.Geometry.Euclidean.Angle.Oriented.Basic
[ "Eq.mpr", "GroupWithZero.toMonoidWithZero", "InnerProductSpace.toNormedSpace", "NegZeroClass.toNeg", "Orientation", "Real.partialOrder", "Real", "SignType.instHasDistribNeg", "Orientation.oangle_zero_left", "Orientation.oangle", "Real.pi", "Real.Angle", "SignType.instCommGroupWithZero", "R...
true