name
stringlengths
2
347
module
stringlengths
6
90
deps
listlengths
0
686
allowCompletion
bool
2 classes
CochainComplex.HomComplex.leftHomologyData'._proof_5
Mathlib.Algebra.Homology.HomotopyCategory.HomComplexCohomology
[ "CochainComplex.HomComplex.coboundaries", "CategoryTheory.Limits.KernelFork.ofι", "CochainComplex.HomComplex.instAddCommGroupCochain", "CategoryTheory.CategoryStruct.toQuiver", "AddCommGrpCat.instCategory", "Quiver.Hom", "CochainComplex.HomComplex.leftHomologyData'._proof_2", "CategoryTheory.Limits.Wa...
false
Std.Slice.Internal.SubarrayData.mk._flat_ctor
Init.Data.Array.Subarray
[ "Std.Slice.Internal.SubarrayData.mk", "LE.le", "instLENat", "Array", "Std.Slice.Internal.SubarrayData", "Nat", "Array.size" ]
false
_private.Mathlib.NumberTheory.NumberField.CanonicalEmbedding.ConvexBody.0.NumberField.mixedEmbedding.convexBodyLT'_mem._simp_1_7
Mathlib.NumberTheory.NumberField.CanonicalEmbedding.ConvexBody
[ "Subtype.forall", "Subtype", "Subtype.mk", "propext", "Eq" ]
false
_private.Mathlib.Data.Set.Insert.0.Set.ssubset_insert._proof_1_1
Mathlib.Data.Set.Insert
[ "False", "eq_false", "Set.ssubset_def", "Lean.Grind.iff_eq", "Set.subset_def", "congrArg", "true_or", "Classical.byContradiction", "Lean.Grind.eq_false_of_imp_eq_true", "HasSSubset.SSubset", "Lean.Grind.and_eq_of_eq_true_left", "Set.instHasSSubset", "Membership.mem", "Eq.mp", "id", "In...
false
hasFDerivAt_comp_add_right
Mathlib.Analysis.Calculus.FDeriv.Add
[ "_private.Mathlib.Analysis.Calculus.FDeriv.Add.0.hasFDerivAt_comp_add_right._simp_1_1", "HasFDerivAt", "NormedSpace", "AddMonoid.toAddSemigroup", "congrArg", "Set.univ", "NormedSpace.toModule", "PseudoMetricSpace.toUniformSpace", "HasFDerivWithinAt", "NormedField.toField", "Set.vaddSet", "addG...
true
Nat.clog_zero_right
Mathlib.Data.Nat.Log
[ "Nat.zero_le", "Nat.clog_of_right_le_one", "instOfNatNat", "Nat", "OfNat.ofNat", "Nat.clog", "Eq" ]
true
CategoryTheory.nerve.σ₀_mk₀_eq
Mathlib.AlgebraicTopology.SimplicialSet.Nerve
[ "Eq.mpr", "Opposite", "CategoryTheory.ComposableArrows.right", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "congrArg", "CategoryTheory.eqToHom", "CategoryTheory.CategoryStruct.id", "id", "Fin.instOfNat", "instOfNatNat", "instHAdd", "HAdd.hAdd", "Nat.instNeZeroSucc", "SimplexC...
true
_private.Mathlib.Combinatorics.SimpleGraph.Metric.0.SimpleGraph.Reachable.dist_triangle_right._proof_1_2
Mathlib.Combinatorics.SimpleGraph.Metric
[ "instLawfulOrderLT_mathlib", "SimpleGraph.Reachable.symm", "False", "SimpleGraph.dist", "ENat.instNatCast", "instLinearOrderENat", "congrArg", "Lean.Grind.Order.le_of_eq_1", "Classical.byContradiction", "Lean.Grind.Order.lt_of_not_le", "Eq.mp", "instAddENat", "instPreorderENat", "id", "L...
false
instDecidableIff._proof_2
Init.Core
[ "False", "Iff", "Iff.mp", "Not" ]
false
_private.Mathlib.Probability.Kernel.Composition.MeasureCompProd.0.MeasureTheory.Measure.compProd_eq_zero_iff._simp_1_1
Mathlib.Probability.Kernel.Composition.MeasureCompProd
[ "MeasureTheory.Measure", "Set.univ", "MeasureTheory.Measure.instZero", "instZeroENNReal", "MeasurableSpace", "ENNReal", "propext", "Zero.toOfNat0", "MeasureTheory.Measure.measure_univ_eq_zero", "OfNat.ofNat", "Eq.symm", "Eq", "DFunLike.coe", "MeasureTheory.Measure.instFunLike", "Set" ]
false
fixingSubgroup_union
Mathlib.GroupTheory.GroupAction.FixingSubgroup
[ "OrderDual.toDual", "Lattice.toSemilatticeSup", "Equiv.instEquivLike", "OrderDual.ofDual", "CompleteLattice.toLattice", "fixingSubgroup", "Group", "Function.comp", "Membership.mem", "Set.instUnion", "Equiv", "Subtype", "DivInvMonoid.toMonoid", "Subgroup", "MulAction.instMulAction", "Gr...
true
_private.Mathlib.Order.Interval.Set.UnorderedInterval.0.Set.forall_uIoc_iff._simp_1_2
Mathlib.Order.Interval.Set.UnorderedInterval
[ "or_imp", "And", "propext", "Or", "Eq" ]
false
_private.Mathlib.CategoryTheory.ComposableArrows.Basic.0.CategoryTheory.ComposableArrows.homMk._proof_3
Mathlib.CategoryTheory.ComposableArrows.Basic
[ "Nat.lt_of_not_le", "False", "Lean.Omega.Constraint.not_sat'_of_isImpossible", "Int.natCast_add", "of_decide_eq_true", "le_of_le_of_eq", "Lean.Omega.Constraint.mk", "Int.add_one_le_of_lt", "HSub.hSub", "Lean.Omega.Int.add_congr", "Lean.Omega.LinearCombo.eval", "Option.some", "Lean.Omega.Line...
false
Std.Tactic.BVDecide.BVExpr.decEq._proof_129
Std.Tactic.BVDecide.Bitblast.BVExpr.Basic
[ "Std.Tactic.BVDecide.BVExpr.extract", "False", "congrArg", "False.elim", "Std.Tactic.BVDecide.BVExpr.ctorIdx", "noConfusion_of_Nat", "Std.Tactic.BVDecide.BVExpr.shiftLeft", "Nat", "True", "of_eq_true", "Std.Tactic.BVDecide.BVExpr", "not_false_eq_true", "eq_false'", "Eq", "Not", "Eq.tra...
false
_private.Mathlib.Data.List.Triplewise.0.List.triplewise_iff_getElem._proof_1_24
Mathlib.Data.List.Triplewise
[ "Lean.Grind.Nat.lt_eq", "Eq.mp", "instOfNatNat", "LE.le", "instLENat", "List.cons", "List", "instHAdd", "HAdd.hAdd", "Nat", "LT.lt", "instAddNat", "instLTNat", "OfNat.ofNat", "List.length", "_private.Mathlib.Data.List.Triplewise.0.List.triplewise_iff_getElem._proof_1_21" ]
false
LinearMap.finrank_maxGenEigenspace_eq
Mathlib.LinearAlgebra.Eigenspace.Zero
[ "Eq.mpr", "Polynomial.C", "Submodule", "Polynomial.rootMultiplicity_eq_natTrailingDegree", "instHSMul", "NonUnitalCommRing.toNonUnitalNonAssocCommRing", "CommRing.toNonUnitalCommRing", "congrArg", "CommSemiring.toSemiring", "DistribMulAction.toDistribSMul", "Module.End.maxGenEigenspace_eq_maxGen...
true
MvPolynomial.universalFactorizationMapPresentation_val
Mathlib.RingTheory.Polynomial.UniversalFactorizationRing
[ "Nat.instMulZeroClass", "AddMonoidAlgebra.semiring", "CommRing", "AddMonoidAlgebra.addAddCommMonoid", "AddMonoidAlgebra.commRing", "CommSemiring.toSemiring", "Algebra.TensorProduct.instCommRing", "AddMonoidAlgebra.algebra", "Finsupp.instAddMonoid", "MvPolynomial.X", "AddMonoidAlgebra.commSemirin...
true
AlgebraicGeometry.isLocallyNoetherian_iff_of_affine_openCover
Mathlib.AlgebraicGeometry.Noetherian
[ "CategoryTheory.Iso.commRingCatIsoToRingEquiv", "Eq.mpr", "AlgebraicGeometry.isLocallyNoetherian_of_affine_cover", "AlgebraicGeometry.SheafedSpace.instTopologicalSpaceCarrierCarrier", "AlgebraicGeometry.Scheme", "Lattice.toSemilatticeSup", "CategoryTheory.PreZeroHypercover.f", "Opposite", "CommRingC...
true
Convex.mul_sub_lt_image_sub_of_lt_deriv
Mathlib.Analysis.Calculus.Deriv.MeanValue
[ "IsRightCancelAdd.addRightStrictMono_of_addRightMono", "Iff.mpr", "sub_pos", "AddGroup.toSubtractionMonoid", "GroupWithZero.toMonoidWithZero", "NormedCommRing.toSeminormedCommRing", "Set.Ioo_subset_Icc_self", "Real.partialOrder", "Real", "Preorder.toLT", "instHDiv", "NonUnitalCommRing.toNonUni...
true
CategoryTheory.Functor.ι_leftKanExtensionObjIsoColimit_hom_assoc
Mathlib.CategoryTheory.Functor.KanExtension.Adjunction
[ "CategoryTheory.Category.assoc", "CategoryTheory.Functor", "CategoryTheory.Comma.right", "CategoryTheory.Functor.leftKanExtension", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "congrArg", "CategoryTheory.Comma.left", "CategoryTheory.Functor.comp", "Eq.mp", "CategoryTheory.Comma.hom",...
true
Std.DTreeMap.Internal.RciSliceData.mk.sizeOf_spec
Std.Data.DTreeMap.Internal.Zipper
[ "Std.Rci", "Ord", "Std.DTreeMap.Internal.RciSliceData.mk", "instOfNatNat", "Std.DTreeMap.Internal.RciSliceData._sizeOf_inst", "instHAdd", "Std.DTreeMap.Internal.Impl._sizeOf_inst", "HAdd.hAdd", "Nat", "SizeOf.sizeOf", "instAddNat", "Eq.refl", "Std.DTreeMap.Internal.RciSliceData", "SizeOf",...
true
imp_iff_not_or
Mathlib.Logic.Basic
[ "Classical.propDecidable", "Iff", "Decidable.imp_iff_not_or", "Or", "Not" ]
true
IsTopologicalGroup.leftUniformSpace
Mathlib.Topology.Algebra.IsUniformGroup.Defs
[ "UniformSpace", "InvOneClass.toOne", "HMul.hMul", "IsTopologicalGroup.leftUniformSpace._proof_5", "DivInvOneMonoid.toInvOneClass", "Monoid.toMulOneClass", "IsTopologicalGroup.leftUniformSpace._proof_3", "Group", "Group.toDivisionMonoid", "DivisionMonoid.toDivInvOneMonoid", "nhds", "MulOne.toMu...
true
Lean.PrettyPrinter.initFn._@.Lean.PrettyPrinter.Parenthesizer.3994661577._hygCtx._hyg.2
Lean.PrettyPrinter.Parenthesizer
[ "IO", "Lean.Name.mkStr3", "Lean.ParserCompiler.CombinatorAttribute", "Lean.ParserCompiler.registerCombinatorAttribute", "Lean.Name.mkStr1" ]
false
Real.one_lt_sqrt_two
Mathlib.Data.Real.Sqrt
[ "Real.instIsOrderedRing", "Eq.mpr", "Real.partialOrder", "Real", "Preorder.toLT", "Nat.ble", "Real.instZero", "Real.instZeroLEOneClass", "congrArg", "PartialOrder.toPreorder", "Nat.instAtLeastTwoHAddOfNat", "AddGroupWithOne.toAddMonoidWithOne", "Real.instLT", "le_of_lt", "Real.semiring",...
true
_private.Lean.Meta.Injective.0.Lean.Meta.andProjections.go
Lean.Meta.Injective
[ "Inhabited.default", "Lean.Expr", "Lean.Meta.MetaM", "Array", "Lean.Meta.instInhabitedMetaM" ]
true
_private.Mathlib.CategoryTheory.WithTerminal.Basic.0.CategoryTheory.WithTerminal.widePullbackShapeEquivMap.match_3
Mathlib.CategoryTheory.WithTerminal.Basic
[ "Equiv.instEquivLike", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "CategoryTheory.Limits.WidePullbackShape", "Option.casesOn", "Option.some", "Equiv", "CategoryTheory.WithTerminal", "Option.none", "_private.Mathlib.CategoryTheory.WithTerminal.Basic.0.CategoryTheory.WithTerminal.widePu...
false
SMulPosMono
Mathlib.Algebra.Order.Module.Defs
[ "SMul", "SMulPosMono.mk", "Preorder", "Zero" ]
true
_private.Batteries.Data.List.Lemmas.0.List.pos_findIdxNth_getElem._proof_1_10
Batteries.Data.List.Lemmas
[ "Lean.Grind.CommRing.le_norm_expr", "Lean.Grind.instOrderedRingInt", "Lean.RArray.leaf", "eq_false", "Lean.Grind.CommRing.Expr.var", "List.length_cons", "Std.IsLinearPreorder.toIsPreorder", "Lean.Grind.Order.le_eq_true_of_le_k", "Lean.Grind.instIsLinearOrderInt", "HSub.hSub", "Nat.ToInt.add_cong...
false
_private.Mathlib.LinearAlgebra.Matrix.GeneralLinearGroup.FinTwo.0.Matrix.isParabolic_iff_exists._simp_1_5
Mathlib.LinearAlgebra.Matrix.GeneralLinearGroup.FinTwo
[ "Matrix.scalar_inj", "Matrix.scalar", "Matrix", "RingHom", "Matrix.nonAssocSemiring", "RingHom.instFunLike", "Fintype", "propext", "Semiring", "Nonempty", "Semiring.toNonAssocSemiring", "Eq", "DFunLike.coe", "DecidableEq" ]
false
Lean.Compiler.LCNF.Code.ctorElimType
Lean.Compiler.LCNF.Basic
[ "cond", "Lean.Compiler.LCNF.Arg", "Nat.ble", "Lean.Compiler.LCNF.Code.unreach", "Lean.Compiler.LCNF.Code.fun", "Lean.Compiler.LCNF.Code.cases", "Lean.Compiler.LCNF.Code.let", "Lean.Expr", "Lean.Compiler.LCNF.FunDecl", "Lean.FVarId", "Lean.Compiler.LCNF.Code.uset", "Lean.Compiler.LCNF.Code.dec"...
false
Std.instCommutativeAnd
Init.Core
[ "Std.Commutative", "and_comm", "And", "propext", "Std.Commutative.mk" ]
true
IsDenseInducing.casesOn
Mathlib.Topology.DenseEmbedding
[ "IsDenseInducing.rec", "IsDenseInducing.mk", "IsDenseInducing", "Topology.IsInducing", "TopologicalSpace", "DenseRange" ]
false
ModuleCat.monModuleEquivalenceAlgebra._proof_29
Mathlib.CategoryTheory.Monoidal.Internal.Module
[ "CommRing", "ModuleCat", "AlgCat.instCategory", "CommSemiring.toSemiring", "AlgCat", "RingHom", "algebraMap", "id", "ModuleCat.MonModuleEquivalenceAlgebra.inverse", "ModuleCat.monoidalCategory", "CommRing.toCommSemiring", "CategoryTheory.Mon", "RingHom.instFunLike", "CategoryTheory.Mon.X",...
false
Lean.Elab.Term.ContainsPendingMVar.visit
Lean.Elab.Term.TermElabM
[ "OptionT.instMonad", "Inhabited.default", "OptionT", "Lean.Core.instMonadLiftIOCoreM", "instInhabitedOfMonad", "IO.instMonadLiftSTRealWorldBaseIO", "Lean.Expr.instBEq", "Lean.Meta.State", "IO", "instInhabitedPUnit", "Lean.Expr", "Lean.Meta.MetaM", "IO.RealWorld", "Lean.Elab.Term.ContainsPe...
true
IntermediateField.AdjoinSimple.norm_gen_eq_prod_roots
Mathlib.RingTheory.Norm.Basic
[ "Eq.mpr", "RingHom.instRingHomClass", "MulOne.toOne", "IntermediateField.isScalarTower_mid'", "Polynomial.roots", "MonoidHom.instFunLike", "NonUnitalCommRing.toNonUnitalNonAssocCommRing", "CommRing.toNonUnitalCommRing", "MonoidHom", "Monoid.toMulOneClass", "Polynomial.roots_zero", "congrArg", ...
true
IsTorsion.subgroup
Mathlib.GroupTheory.Torsion
[ "Monoid.toMulOneClass", "Group", "Membership.mem", "Subtype", "Submonoid.toMonoid", "DivInvMonoid.toMonoid", "Subgroup", "Group.toDivInvMonoid", "Submonoid.isOfFinOrder_coe", "Iff.mp", "Submonoid.instSetLike", "Monoid.IsTorsion", "Subgroup.toGroup", "Subtype.val", "IsOfFinOrder", "SetL...
true
MvPolynomial.instIsCancelAddOfIsLeftCancelAdd
Mathlib.Algebra.MvPolynomial.Division
[ "Nat.instMulZeroClass", "AddMonoidAlgebra.addAddCommMonoid", "congrArg", "CommSemiring.toSemiring", "MvPolynomial.ext", "AddMonoid.toAddZeroClass", "AddMonoidAlgebra.nonUnitalNonAssocSemiring", "AddCommMagma.IsLeftCancelAdd.toIsCancelAdd", "Nat.instAddMonoid", "Eq.mp", "Distrib.toAdd", "MvPoly...
true
PolishSpace.measurableEquivNatBoolOfNotCountable._proof_1
Mathlib.MeasureTheory.Constructions.Polish.Basic
[ "Eq.mpr", "congrArg", "Set.univ", "Set.Elem", "id", "Set.countable_coe_iff", "Equiv.countable_iff", "propext", "Countable", "Set.Countable", "Eq.symm", "Eq", "Not", "Equiv.Set.univ" ]
false
LipschitzWith.integral_inv_smul_sub_mul_tendsto_integral_lineDeriv_mul
Mathlib.Analysis.Calculus.Rademacher
[ "MeasureTheory.ae", "AEMeasurable.aestronglyMeasurable", "IsModuleTopology.toContinuousSMul", "NormedCommRing.toNormedRing", "AddGroup.toSubtractionMonoid", "MeasureTheory.Integrable.aestronglyMeasurable", "Real.instIsOrderedRing", "Norm.norm", "Mathlib.Tactic.FieldSimp.zpow'_one", "Eq.mpr", "Gr...
true
MeasureTheory.hittingBtwn_mem_Icc
Mathlib.Probability.Process.HittingTime
[ "PartialOrder.toPreorder", "Preorder.toLE", "Membership.mem", "MeasureTheory.le_hittingBtwn", "MeasureTheory.hittingBtwn", "LE.le", "ConditionallyCompleteLinearOrder.toConditionallyCompleteLattice", "Set.Icc", "And.intro", "MeasureTheory.hittingBtwn_le", "ConditionallyCompletePartialOrderSup.toP...
true
Homeomorph.inv.congr_simp
Mathlib.Topology.Algebra.Group.Basic
[ "InvolutiveInv.toInv", "InvolutiveInv", "Homeomorph.inv", "TopologicalSpace", "ContinuousInv", "Homeomorph", "Eq.refl", "Eq" ]
true
Subgroup.pi_le_iff
Mathlib.Algebra.Group.Subgroup.Finite
[ "Subgroup.map", "Monoid.toMulOneClass", "Set.univ", "Finite", "PartialOrder.toPreorder", "Group", "Preorder.toLE", "MonoidHom.mulSingle", "Submonoid.pi_le_iff", "DivInvMonoid.toMonoid", "Pi.group", "Subgroup", "LE.le", "Group.toDivInvMonoid", "Iff", "Subgroup.instPartialOrder", "Subg...
true
_private.Mathlib.Combinatorics.Additive.ErdosGinzburgZiv.0.Int.erdos_ginzburg_ziv_prime
Mathlib.Combinatorics.Additive.ErdosGinzburgZiv
[ "Int.cast", "Int.instAddCommMonoid", "Nat.Prime", "Dvd.dvd", "NonUnitalCommRing.toNonUnitalNonAssocCommRing", "HMul.hMul", "CommRing.toNonUnitalCommRing", "_private.Mathlib.Combinatorics.Additive.ErdosGinzburgZiv.0.Int.erdos_ginzburg_ziv_prime._simp_1_1", "ZMod.commRing", "congrArg", "Finset", ...
true
Lean.Meta.Grind.getEqc
Lean.Meta.Tactic.Grind.Types
[ "Pure.pure", "Lean.Meta.Grind.GrindM", "Lean.Meta.Grind.Goal", "StateRefT'.instAlternativeOfMonad", "Lean.Core.instMonadLiftIOCoreM", "Lean.Meta.Grind.State", "IO.instMonadLiftSTRealWorldBaseIO", "ReaderT", "Lean.Meta.State", "instMonadLiftT", "MonadState.get", "Lean.Meta.Sym.Context", "IO",...
true
CategoryTheory.Limits.reflectsColimitsOfSize_of_rightOp
Mathlib.CategoryTheory.Limits.Preserves.Opposites
[ "CategoryTheory.Limits.ReflectsLimitsOfSize", "CategoryTheory.Limits.reflectsColimitsOfShape_of_rightOp", "CategoryTheory.Functor", "Opposite", "CategoryTheory.Limits.reflectsLimitsOfShape_of_reflectsLimits", "CategoryTheory.Limits.ReflectsColimitsOfSize", "CategoryTheory.Category.opposite", "Category...
true
_private.Mathlib.Topology.UniformSpace.UniformConvergenceTopology.0.UniformFun.«_aux_Mathlib_Topology_UniformSpace_UniformConvergenceTopology___macroRules__private_Mathlib_Topology_UniformSpace_UniformConvergenceTopology_0_UniformFun_term𝒰(_,_,_)_1»
Mathlib.Topology.UniformSpace.UniformConvergenceTopology
[ "Pure.pure", "Lean.TSyntax", "Lean.MonadRef.mkInfoFromRefPos", "Lean.Name.mkNum", "Lean.Syntax.ident", "instMonadExceptOfMonadExceptOf", "String", "Lean.SourceInfo", "MonadExcept.throw", "Lean.Syntax.isOfKind", "EStateM.instMonad", "Lean.Macro.Exception", "Lean.Syntax.atom", "Lean.TSyntax....
false
Subgroup.exists_index_le_card_of_leftCoset_cover
Mathlib.GroupTheory.CosetCover
[ "Rat.addCommMonoid", "Mathlib.Tactic.Push.not_exists._simp_1", "Iff.mpr", "Rat.instOfNat", "Eq.mpr", "GroupWithZero.toMonoidWithZero", "NonAssocSemiring.toAddCommMonoidWithOne", "Mathlib.Tactic.Push.not_and_eq", "MulOne.toOne", "DivInvMonoid.toInv", "instHSMul", "Preorder.toLT", "NonUnitalCo...
true
Lean.Meta.Grind.AC.Struct._sizeOf_1
Lean.Meta.Tactic.Grind.AC.Types
[ "Lean.Meta.Grind.AC.EqCnstr._sizeOf_inst", "Lean.Meta.Grind.AC.EqCnstr", "Lean.Meta.Grind.AC.DiseqCnstr._sizeOf_inst", "Lean.Meta.Grind.AC.DiseqCnstr", "Option._sizeOf_inst", "Lean.Grind.AC.Expr", "Lean.PHashMap", "Lean.Meta.Grind.AC.Queue", "Lean.PArray", "Lean.Meta.Sym.ExprPtr._sizeOf_inst", "...
false
Plausible.Testable.minimizeAux
Plausible.Testable
[ "Inhabited.default", "OptionT", "ReaderT", "Monad.toApplicative", "String", "Plausible.Testable", "ULift", "Plausible.TestResult", "ReaderT.instMonad", "Plausible.SampleableExt.proxy", "Applicative.toPure", "Except.instMonad", "Plausible.Configuration", "Nat", "StdGen", "StateT.instMon...
true
_private.Std.Data.DTreeMap.Internal.Operations.0.Std.DTreeMap.Internal.Impl.alter._proof_8
Std.Data.DTreeMap.Internal.Operations
[ "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
_private.Mathlib.CategoryTheory.CofilteredSystem.0.CategoryTheory.Functor.isMittagLeffler_iff_subset_range_comp._simp_1_1
Mathlib.CategoryTheory.CofilteredSystem
[ "CategoryTheory.Functor", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "Exists", "CategoryTheory.Functor.IsMittagLeffler", "CategoryTheory.Functor.map", "CategoryTheory.types", "propext", "CategoryTheory.Category.toCategoryStruct", "Set.range", "CategoryTheory.Functor.eventualRange", ...
false
_private.Mathlib.Analysis.Convex.StrictCombination.0.StrictConvex.centerMass_mem_interior._proof_1_11
Mathlib.Analysis.Convex.StrictCombination
[ "False", "NonUnitalCommRing.toNonUnitalNonAssocCommRing", "CommRing.toNonUnitalCommRing", "eq_false", "Lean.Grind.iff_eq", "Lean.Grind.not_or", "Finset", "Classical.byContradiction", "Lean.Grind.eq_false_of_imp_eq_true", "Classical.propDecidable", "NonUnitalNonAssocSemiring.toMulZeroClass", "M...
false
MeasureTheory.Submartingale.condExp_sub_nonneg
Mathlib.Probability.Martingale.Basic
[ "MeasureTheory.ae", "AddGroup.toSubtractionMonoid", "Eq.mpr", "Real", "MeasureTheory.Measure", "CompleteSpace", "Filter.eventually_sub_nonneg", "NormedSpace", "MeasureTheory.Filtration.seq", "MeasureTheory.Submartingale.integrable", "congrArg", "MeasureTheory.SigmaFinite", "covariant_swap_ad...
true
Ordset.mem
Mathlib.Data.Ordmap.Ordset
[ "Ordnode", "Ordset", "Preorder.toLE", "Membership.mem", "Ordnode.mem.decidable", "Ordnode.Valid", "DecidableLE", "Bool", "Subtype.val", "Decidable.decide", "Ordnode.instMembership", "Preorder" ]
true
Filter.Germ.LiftPred._proof_1
Mathlib.Order.Filter.Germ.Basic
[ "Filter.Eventually", "Iff.rfl", "Eq.rec", "Filter.EventuallyEq", "Filter.Eventually.mono", "Iff", "propext", "Filter.eventually_congr", "Eq", "Filter" ]
false
Std.ExtTreeSet.ext_contains
Std.Data.ExtTreeSet.Lemmas
[ "_private.Std.Data.ExtTreeSet.Lemmas.0.Std.ExtTreeSet.ext", "Std.ExtTreeMap.ext_contains_unit", "Ordering", "Std.ExtTreeSet.inner", "Std.TransCmp", "Std.LawfulEqCmp", "Std.ExtTreeSet", "Bool", "Std.ExtTreeSet.contains", "Eq" ]
true
Ring.DirectLimit.lift_injective
Mathlib.Algebra.Colimit.Ring
[ "AddGroup.toSubtractionMonoid", "Eq.mpr", "RingHom.instRingHomClass", "CommRing", "RingHomClass.toAddMonoidHomClass", "Ring.instCommRingDirectLimit", "AddGroupWithOne.toAddGroup", "congrArg", "CommSemiring.toSemiring", "Ring.DirectLimit.lift", "AddMonoid.toAddZeroClass", "AddGroupWithOne.toAdd...
true
affineIndependent_of_ne_of_mem_of_mem_of_notMem
Mathlib.LinearAlgebra.AffineSpace.Independent
[ "Eq.mpr", "instDecidableNot", "SetLike.mem_coe._simp_1", "False", "_private.Mathlib.LinearAlgebra.AffineSpace.Independent.0.affineIndependent_of_ne_of_mem_of_mem_of_notMem._simp_1_1", "Fintype.elems", "AffineIndependent", "Equiv.instEquivLike", "affineIndependent_equiv", "Nat.le_refl", "congrArg...
true
_private.Lean.Compiler.LCNF.Simp.Main.0.Lean.Compiler.LCNF.Simp.simp.match_18
Lean.Compiler.LCNF.Simp.Main
[ "False", "Lean.FVarId.casesOn", "Lean.Compiler.LCNF.Arg", "Lean.Compiler.LCNF.Code.unreach", "HEq.refl", "Lean.Compiler.LCNF.Code.fun", "False.elim", "Lean.Compiler.LCNF.Code.cases", "Lean.Compiler.LCNF.Code.casesOn", "Lean.Compiler.LCNF.Code.let", "noConfusion_of_Nat", "Eq.casesOn", "Lean.E...
false
_private.Mathlib.Topology.Separation.Basic.0.t0Space_iff_inseparable.match_1_1
Mathlib.Topology.Separation.Basic
[ "T0Space.mk", "TopologicalSpace", "T0Space.casesOn", "T0Space", "Eq", "Inseparable" ]
false
FundamentalGroupoidFunctor.prodToProdTop.match_1
Mathlib.AlgebraicTopology.FundamentalGroupoid.Product
[ "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "TopCat.instCategory", "FundamentalGroupoid.fundamentalGroupoidFunctor", "CategoryTheory.Groupoid", "Prod.mk", "Prod.fst", "CategoryTheory.Grpd.str'", "CategoryTheory.Grpd.category", "CategoryTheory.Bundled.α", "CategoryTheory.prod'", "Ca...
false
CategoryTheory.MonoidalCategory.externalProductBifunctorCurried_obj_obj_map_app
Mathlib.CategoryTheory.Monoidal.ExternalProduct.Basic
[ "CategoryTheory.Functor", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "CategoryTheory.MonoidalCategory", "CategoryTheory.Functor.category", "CategoryTheory.MonoidalCategory.externalProductBifunctorCurried", "CategoryTheory.Functor.map", "CategoryTheory.Functor.whiskeringRight", "Category...
true
_private.Mathlib.RingTheory.Valuation.Extension.0.Valuation.HasExtension.val_map_lt_iff._simp_1_1
Mathlib.RingTheory.Valuation.Extension
[ "not_le", "Preorder.toLT", "LinearOrder", "PartialOrder.toPreorder", "Preorder.toLE", "LE.le", "LT.lt", "propext", "LinearOrder.toPartialOrder", "Eq", "Not" ]
false
PredOrder.prelimitRecOn._proof_4
Mathlib.Order.SuccPred.Limit
[ "Preorder.toLT", "Order.not_isPredPrelimit_iff", "PredOrder.prelimitRecOn._proof_2", "PartialOrder.toPreorder", "Preorder.toLE", "Exists", "PartialOrder", "Classical.choose_spec", "And", "And.left", "Order.pred", "Iff.mp", "Classical.choose", "PredOrder", "Eq", "Not", "IsMin", "Ord...
false
Lean.Lsp.ClientCapabilities._sizeOf_inst
Lean.Data.Lsp.Capabilities
[ "Lean.Lsp.ClientCapabilities", "Lean.Lsp.ClientCapabilities._sizeOf_1", "SizeOf.mk", "SizeOf" ]
false
_private.Mathlib.CategoryTheory.Triangulated.Pretriangulated.0.CategoryTheory.Pretriangulated.Triangle.isZero₃_of_isZero₁₂._simp_1_1
Mathlib.CategoryTheory.Triangulated.Pretriangulated
[ "CategoryTheory.Limits.HasZeroMorphisms", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "CategoryTheory.CategoryStruct.id", "CategoryTheory.Limits.HasZeroMorphisms.zero", "propext", "CategoryTheory.Limits.IsZero", "Zero.toOfNat0", "CategoryTheory.Category.toCategoryStruct", "CategoryTheo...
false
AddMonoidAlgebra.addAddCommMonoid._proof_2
Mathlib.Algebra.MonoidAlgebra.Defs
[ "Finset", "Add.mk", "AddMonoid.toAddZeroClass", "Finsupp.instAdd._proof_1", "NonUnitalNonAssocSemiring.toMulZeroClass", "AddZeroClass.toAddZero", "inferInstance", "Finsupp.mk", "Pi.instZero", "AddSemigroup.mk", "Finset.instEmptyCollection", "AddCommMonoid", "Finsupp.instAddCommMonoid", "No...
false
CategoryTheory.Bicategory.conjugateEquiv_whiskerRight
Mathlib.CategoryTheory.Bicategory.Adjunction.Mate
[ "CategoryTheory.Category.assoc", "CategoryTheory.Bicategory.inv_hom_whiskerRight_assoc", "CategoryTheory.Bicategory.Adjunction.comp", "CategoryTheory.Iso.inv_hom_id", "Equiv.instEquivLike", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "CategoryTheory.Bicategory.whiskerLeft_comp", "congrAr...
true
LinearMap.BilinMap.tensorDistrib._proof_27
Mathlib.LinearAlgebra.BilinearForm.TensorProduct
[ "IsScalarTower.to_smulCommClass'", "LinearMap.BilinMap.tensorDistrib._proof_24", "CommSemiring.toSemiring", "DistribMulAction.toDistribSMul", "IsScalarTower", "LinearMap.instSMulCommClass", "AddMonoid.toAddZeroClass", "Algebra", "Algebra.toSMul", "AddZeroClass.toAddZero", "DistribSMul.toSMulZero...
false
Finset.insert_Ico_right_eq_Ico_succ
Mathlib.Order.Interval.Finset.SuccPred
[ "Eq.mpr", "Finset.coe_Ico", "Preorder.toLT", "Order.succ", "LinearOrder.toDecidableEq", "congrArg", "Finset", "NoMaxOrder", "LinearOrder", "PartialOrder.toPreorder", "Preorder.toLE", "SemilatticeInf.toPartialOrder", "Eq.mp", "DistribLattice.toLattice", "id", "Finset.Ico", "Insert.ins...
true
CategoryTheory.Over.grpObjMkPullbackSnd_one
Mathlib.CategoryTheory.Monoidal.Cartesian.Over
[ "CategoryTheory.Grp.mk", "CategoryTheory.Limits.pullback", "CategoryTheory.Over", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "CategoryTheory.Over.pullback", "CategoryTheory.Limits.pullback.snd", "CategoryTheory.Functor.LaxMonoidal.ε", "CategoryTheory.Over.mk", "CategoryTheory.Limits.W...
true
CategoryTheory.Limits.pullback.lift_fst_assoc
Mathlib.CategoryTheory.Limits.Shapes.Pullback.HasPullback
[ "CategoryTheory.Category.assoc", "CategoryTheory.Limits.pullback", "CategoryTheory.Limits.pullback.lift", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "congrArg", "Eq.mp", "id", "CategoryTheory.Limits.HasPullback", "Mathlib.Tactic.Reassoc.eq_whisker'", "CategoryTheory.Limits.pullback....
true
_private.Mathlib.Order.Monotone.MonovaryOrder.0.monovary_iff_exists_monotone._simp_1_1
Mathlib.Order.Monotone.MonovaryOrder
[ "Monovary", "Set.univ", "MonovaryOn", "monovaryOn_univ", "propext", "Eq.symm", "Eq", "Preorder" ]
false
instFullCondensedTypeCondensedSetUlift
Mathlib.Condensed.Functors
[ "CategoryTheory.sheafCompose", "CategoryTheory.Functor", "CategoryTheory.instFullSheafSheafComposeOfFaithful", "Opposite", "Condensed.ulift._proof_1", "Condensed.ulift", "CategoryTheory.uliftFunctor_faithful", "instCategoryCondensed", "CategoryTheory.Functor.category", "Condensed", "CategoryTheo...
true
ULift.seminormedCommRing._proof_13
Mathlib.Analysis.Normed.Ring.Basic
[ "SubNegMonoid.sub_eq_add_neg", "AddMonoid.toAddSemigroup", "SeminormedCommRing", "NonUnitalNonAssocRing.toAddCommGroup", "ULift", "HSub.hSub", "AddCommGroup.toAddGroup", "ULift.nonUnitalSeminormedRing", "NonUnitalRing.toNonUnitalNonAssocRing", "SubNegMonoid.toSub", "instHAdd", "AddSemigroup.to...
false
Matrix.IsHermitian.splits_charpoly
Mathlib.Analysis.Matrix.Spectrum
[ "Iff.mpr", "Real", "Polynomial.roots", "NonUnitalCommRing.toNonUnitalNonAssocCommRing", "Finset.univ", "Multiset.map", "congrArg", "CommSemiring.toSemiring", "Matrix", "Function.comp", "Membership.mem", "NormedField.toField", "Field.instIsLocalRing", "Multiset", "Fintype.card", "NonUni...
true
Ordinal.instPosMulStrictMono
Mathlib.SetTheory.Ordinal.Arithmetic
[ "Ordinal.isNormal_mul_right", "Ordinal.instLinearOrder", "Preorder.toLT", "HMul.hMul", "Ordinal.partialOrder", "MulZeroClass.toMul", "PartialOrder.toPreorder", "PosMulStrictMono.mk", "MonoidWithZero.toMulZeroOneClass", "LT.lt", "Ordinal.zero", "PosMulStrictMono", "Ordinal.monoidWithZero", ...
true
CategoryTheory.Lax.LaxTrans.isoMk_inv_as_app
Mathlib.CategoryTheory.Bicategory.Modification.Lax
[ "CategoryTheory.Lax.LaxTrans.Modification.app", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "CategoryTheory.Lax.LaxTrans.Hom.as", "CategoryTheory.Lax.LaxTrans.naturality", "CategoryTheory.Bicategory.whiskerRight", "CategoryTheory.Iso", "CategoryTheory.Bicategory.toCategoryStruct", "Categ...
true
CategoryTheory.Functor.IsLocallyFull
Mathlib.CategoryTheory.Sites.LocallyFullyFaithful
[ "CategoryTheory.Functor", "CategoryTheory.Functor.IsLocallyFull.mk", "CategoryTheory.GrothendieckTopology", "CategoryTheory.Category" ]
true
List.toString
Init.Data.ToString.Basic
[ "String", "String.push", "List.foldl", "ToString.toString", "List", "Unit", "ToString", "String.Internal.append", "_private.Init.Data.ToString.Basic.0.List.toString.match_1", "Char.ofNat" ]
true
SSet.Subcomplex.PairingCore.mk.inj
Mathlib.AlgebraicTopology.SimplicialSet.AnodyneExtensions.PairingCore
[ "SSet.S", "Opposite", "SSet.Subcomplex.PairingCore", "SSet.Subcomplex.PairingCore.mk", "SSet.nonDegenerate", "Membership.mem", "Exists", "CategoryTheory.Subfunctor.obj", "SSet.Subcomplex.N", "Ne", "instOfNatNat", "SSet", "SSet.Subcomplex.N.toN", "instHAdd", "And", "HAdd.hAdd", "SSet....
true
symmDiff_sdiff
Mathlib.Order.SymmDiff
[ "Eq.mpr", "Lattice.toSemilatticeSup", "congrArg", "GeneralizedCoheytingAlgebra", "symmDiff.eq_1", "SemilatticeSup.toMax", "id", "SDiff.sdiff", "Max.max", "sdiff_sdiff_left", "Eq.refl", "sup_sdiff_distrib", "GeneralizedCoheytingAlgebra.toLattice", "Eq", "GeneralizedCoheytingAlgebra.toSDif...
true
ZMod.LFunction
Mathlib.NumberTheory.LSeries.ZMod
[ "NormedCommRing.toSeminormedCommRing", "Nat.instMulZeroClass", "Real", "HMul.hMul", "Complex.instNormedAddCommGroup", "Finset.univ", "ZMod.commRing", "ZMod.fintype", "AddMonoid.toAddZeroClass", "Complex.instNormedField", "AddGroupWithOne.toAddMonoidWithOne", "PseudoMetricSpace.toUniformSpace",...
true
_private.Lean.Data.Lsp.Ipc.0.Lean.Lsp.Ipc.expandOutgoingCallHierarchy.go
Lean.Data.Lsp.Ipc
[ "Std.TreeSet", "Lean.Lsp.CallHierarchyItem", "Inhabited.default", "Lean.Lsp.Ipc.IpcM", "String", "instInhabitedError", "IO", "instInhabitedEIO", "IO.Process.Child", "Ord.compare", "Lean.Lsp.Ipc.ipcStdioConfig", "Lean.Lsp.Ipc.CallHierarchy", "Array", "Nat", "IO.Error", "String.instOrd",...
true
Std.DHashMap.Raw.Const.getD_empty
Std.Data.DHashMap.RawLemmas
[ "Std.DHashMap.Raw.instEmptyCollection", "Std.DHashMap.Raw", "instOfNatNat", "Std.DHashMap.Raw.Const.getD", "Nat", "Hashable", "EmptyCollection.emptyCollection", "OfNat.ofNat", "Std.DHashMap.Raw.Const.getD_emptyWithCapacity", "BEq", "Eq" ]
true
exists_and_self
Init.PropLemmas
[ "_private.Init.PropLemmas.0.exists_and_self.match_1_3", "_private.Init.PropLemmas.0.exists_and_self.match_1_1", "Exists", "And", "Iff", "And.intro", "Iff.intro", "Exists.intro" ]
true
MvQPF.Pi.repr
Mathlib.Data.QPF.Multivariate.Constructions.Sigma
[ "MvPFunctor.Obj", "Sigma.fst", "MvPFunctor.A", "MvQPF.Pi", "MvQPF.Pi.P", "Nat", "MvPFunctor.B", "MvQPF.repr", "MvQPF", "Sigma.mk", "MvQPF.P", "Sigma.snd", "TypeVec.Arrow", "Fin2", "TypeVec" ]
true
Std.TreeSet.get!_erase_self
Std.Data.TreeSet.Lemmas
[ "Std.TreeSet", "Std.TreeSet.get!", "Inhabited.default", "Ordering", "Std.TreeSet.inner", "Std.TransCmp", "Unit", "Inhabited", "Std.TreeSet.erase", "Std.TreeMap.getKey!_erase_self", "Eq" ]
true
Polynomial.Splits.eq_X_sub_C_of_single_root
Mathlib.Algebra.Polynomial.Splits
[ "Eq.mpr", "Polynomial.C", "IsDomain", "CommRing", "IsDomain.to_noZeroDivisors", "Polynomial.roots", "HMul.hMul", "Multiset.map", "Polynomial.leadingCoeff_mul", "congrArg", "CommSemiring.toSemiring", "Multiset.prod", "AddGroupWithOne.toAddMonoidWithOne", "HSub.hSub", "RingHom", "Multise...
true
Sum.Lex.noMaxOrder
Mathlib.Data.Sum.Order
[ "Iff.mpr", "Equiv.instEquivLike", "Lex", "NoMaxOrder", "Exists", "NoMaxOrder.mk", "_private.Mathlib.Data.Sum.Order.0.Sum.noMaxOrder.match_1", "Sum", "Equiv", "Sum.inl", "NoMaxOrder.exists_gt", "Sum.Lex.inl_lt_inl_iff", "Sum.inr", "LT.lt", "Exists.intro", "_private.Mathlib.Data.Sum.Orde...
true
Lean.Elab.Do.Context.doBlockResultType
Lean.Elab.Do.Basic
[ "Lean.Expr", "Lean.Elab.Do.Context" ]
true
Interval.completeLattice._proof_4
Mathlib.Order.Interval.Basic
[ "iSup₂_le", "WithBot.some", "iInf", "iSup", "PartialOrder.toPreorder", "Preorder.toLE", "Membership.mem", "Prod.mk", "Bot.bot", "Interval", "LE.le", "Prod.fst", "le_iInf₂", "CompleteLattice.toCompleteSemilatticeInf", "CompleteSemilatticeInf.toPartialOrder", "And", "And.right", "Com...
false
IsSemitopologicalRing.casesOn
Mathlib.Topology.Algebra.Ring.Basic
[ "NonUnitalNonAssocRing", "NegZeroClass.toNeg", "NonUnitalNonAssocRing.toAddCommGroup", "NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring", "IsSemitopologicalRing", "SubtractionMonoid.toSubNegZeroMonoid", "SubNegZeroMonoid.toNegZeroClass", "SubtractionCommMonoid.toSubtractionMonoid", "ContinuousNeg"...
false
Std.ExtTreeMap.compare_minKey!_modify_eq
Std.Data.ExtTreeMap.Lemmas
[ "Std.ExtTreeMap.modify", "Std.ExtTreeMap.minKey!", "Ordering", "Ordering.eq", "Std.TransCmp", "Std.ExtDTreeMap.Const.compare_minKey!_modify_eq", "Std.ExtTreeMap", "Std.ExtTreeMap.inner", "Inhabited", "Eq" ]
true
MeasureTheory.measurable_mlconvolution
Mathlib.Analysis.LConvolution
[ "Measurable.mul", "MeasureTheory.Measure", "Inv", "HMul.hMul", "CommSemiring.toSemiring", "Measurable.fun_comp", "Measurable", "ENNReal.measurableSpace", "Mul", "id", "ENNReal.instMeasurableMul₂", "Measurable.fst", "ENNReal.instCommSemiring", "Prod.fst", "Measurable.lintegral_prod_left",...
true
Lean.Meta.Canonicalizer.ExprVisited.noConfusion
Lean.Meta.Canonicalizer
[ "Lean.Meta.Canonicalizer.ExprVisited.noConfusionType", "Lean.Expr", "Lean.Meta.Canonicalizer.ExprVisited.casesOn", "Eq.ndrec", "Eq.refl", "Eq", "Lean.Meta.Canonicalizer.ExprVisited" ]
false
metricSpaceOfNormedAddCommGroupOfAddTorsor._proof_4
Mathlib.Analysis.Normed.Group.AddTorsor
[ "Norm.norm", "Real.instLE", "Real", "ENNReal.ofNNReal", "Real.instZero", "ENNReal.ofReal", "LE.le", "NormedAddGroup.toAddGroup", "AddTorsor.toVSub", "VSub.vsub", "Subtype.mk", "metricSpaceOfNormedAddCommGroupOfAddTorsor._proof_3", "NormedAddCommGroup.toNorm", "NormedAddCommGroup.toNormedAd...
false
AffineIsometry.continuous
Mathlib.Analysis.Normed.Affine.Isometry
[ "Continuous", "SeminormedAddCommGroup", "NormedSpace", "PseudoMetricSpace.toUniformSpace", "NormedField", "Isometry.continuous", "PseudoMetricSpace", "AffineIsometry.isometry", "UniformSpace.toTopologicalSpace", "DFunLike.coe", "AffineIsometry", "NormedAddTorsor", "PseudoMetricSpace.toPseudo...
true
Lean.Server.Watchdog.ServerM
Lean.Server.Watchdog
[ "ReaderT", "IO", "Lean.Server.Watchdog.ServerContext" ]
true