name
stringlengths
2
347
module
stringlengths
6
90
deps
listlengths
0
692
allowCompletion
bool
2 classes
ValuativeRel.valueSetoid._proof_1
Mathlib.RingTheory.Valuation.ValuativeRel.Basic
[ "ValuativeRel.valueSetoid.match_1", "CommRing", "HMul.hMul", "CommSemiring.toSemiring", "ValuativeRel.vle_refl", "ValuativeRel.valueSetoid._proof_3", "Membership.mem", "Equivalence", "Subtype", "ValuativeRel.vle", "Prod.fst", "MulZeroOneClass.toMulOneClass", "instDistribOfSemiring", "instM...
false
ContRepresentation.Equiv.refl_apply
Mathlib.RepresentationTheory.Continuous.Basic
[ "Monoid", "AddCommGroup.toAddCommMonoid", "ContRepresentation", "AddCommGroup.toAddGroup", "AddCommGroup", "ContRepresentation.Equiv.instEquivLike", "ContRepresentation.Equiv", "TopologicalSpace", "ContRepresentation.Equiv.refl", "Module", "Ring.toSemiring", "Eq", "DFunLike.coe", "Ring", ...
true
Std.LawfulOrderLT
Init.Data.Order.Classes
[ "LE", "Std.LawfulOrderLT.mk", "LT" ]
true
LinearGrowth.tendsto_atTop_of_linearGrowthInf_natCast_pos
Mathlib.Analysis.Asymptotics.LinearGrowth
[ "instAddCommMonoidWithOneEReal", "Iff.mpr", "EReal.instDivInvMonoid", "Real.partialOrder", "Real", "Preorder.toLT", "Real.instZeroLEOneClass", "EReal.instTopologicalSpace", "Nat.cast_lt._simp_1", "Filter.Eventually", "PartialOrder.toPreorder", "AddGroupWithOne.toAddMonoidWithOne", "EReal", ...
true
IsTotallySeparated.isTotallyDisconnected
Mathlib.Topology.Connected.TotallyDisconnected
[ "IsTotallySeparated", "TopologicalSpace", "isTotallyDisconnected_of_isTotallySeparated", "IsTotallyDisconnected", "Set" ]
true
Convexity.ConvexSpace.convexCombination_single
Mathlib.Geometry.Convex.ConvexSpace.Defs
[ "Convexity.ConvexSpace", "IsStrictOrderedRing", "PartialOrder", "Convexity.StdSimplex.single", "Convexity.ConvexSpace.sConvexComb", "Semiring", "Convexity.ConvexSpace.sConvexComb_single", "Eq" ]
true
Int.reduceBdiv._regBuiltin.Int.reduceBdiv.declare_1._@.Lean.Meta.Tactic.Simp.BuiltinSimprocs.Int.1571464712._hygCtx._hyg.16
Lean.Meta.Tactic.Simp.BuiltinSimprocs.Int
[ "IO", "Bool.true", "Unit", "Sum.inr", "Lean.Meta.Simp.DSimproc", "Lean.Name.mkStr2", "Lean.Meta.Simp.addSimprocBuiltinAttr", "Int.reduceBdiv", "Lean.Meta.Simp.Simproc" ]
false
LinearMap.smulRight_zero
Mathlib.Algebra.Module.LinearMap.End
[ "NonAssocSemiring.toAddCommMonoidWithOne", "LinearMap.ext", "congrArg", "DistribMulAction.toDistribSMul", "IsScalarTower", "AddMonoid.toAddZeroClass", "LinearMap.instFunLike", "smul_zero", "AddZeroClass.toAddZero", "DistribSMul.toSMulZeroClass", "AddCommMonoidWithOne.toAddMonoidWithOne", "Line...
true
ApplicativeTransformation.mk.sizeOf_spec
Mathlib.Control.Traversable.Basic
[ "Pure.pure", "ApplicativeTransformation", "instOfNatNat", "Seq.seq", "Applicative.toPure", "Applicative", "ApplicativeTransformation.mk", "Unit", "Nat", "SizeOf.sizeOf", "Eq.refl", "SizeOf", "Applicative.toSeq", "OfNat.ofNat", "Eq", "ApplicativeTransformation._sizeOf_inst" ]
true
DirectLimit.instDivisionSemiring._proof_15
Mathlib.Algebra.Colimit.DirectLimit
[ "Semiring.toNatCast", "AddMonoid.toAddSemigroup", "Semiring.natCast_succ", "Preorder.toLE", "inferInstance", "instOfNatNat", "NatCast.natCast", "LE.le", "DirectLimit.instSemiringOfRingHomClass", "DirectLimit", "DivisionSemiring", "instHAdd", "AddSemigroup.toAdd", "HAdd.hAdd", "Nat", "I...
false
toLexMulEquiv.eq_1
Mathlib.Algebra.Order.Group.Equiv
[ "toLexMulEquiv", "Lex", "Mul", "instMulLex", "toLexMulEquiv._proof_1", "MulEquiv", "Eq.refl", "Eq", "MulEquiv.mk", "toLex" ]
true
ContDiffAt.snd'
Mathlib.Analysis.Calculus.ContDiff.Comp
[ "contDiffAt_snd", "ContDiffAt", "Prod.normedSpace", "Prod.normedAddCommGroup", "NormedSpace", "Prod.mk", "ENat", "NontriviallyNormedField", "NontriviallyNormedField.toNormedField", "ContDiffAt.comp", "Prod", "NormedAddCommGroup.toSeminormedAddCommGroup", "Prod.snd", "NormedAddCommGroup", ...
true
_private.Std.Data.DTreeMap.Internal.Model.0.Std.DTreeMap.Internal.Impl.updateCell._proof_19
Std.Data.DTreeMap.Internal.Model
[ "_private.Std.Data.DTreeMap.Internal.Model.0.Std.DTreeMap.Internal.Impl.updateCell._proof_18", "HSub.hSub", "Std.DTreeMap.Internal.Impl.size", "Std.DTreeMap.Internal.Impl.inner", "id", "instSubNat", "instOfNatNat", "LE.le", "instLENat", "instHSub", "Std.DTreeMap.Internal.Impl.leaf", "Nat", "...
false
IsSelfAdjoint.toReal_spectralRadius_eq_norm
Mathlib.Analysis.CStarAlgebra.ContinuousFunctionalCalculus.Order
[ "Norm.norm", "SeminormedAddGroup.toNorm", "NormedCommRing.toSeminormedCommRing", "CStarAlgebra.toNonUnitalCStarAlgebra", "IsSelfAdjoint", "Real", "ENNReal.ofNNReal", "NonUnitalCommRing.toNonUnitalNonAssocCommRing", "NonUnitalCStarAlgebra.toNonUnitalNormedRing", "Semiring.toModule", "NormedRing.t...
true
AlgebraicGeometry.Scheme.JointlySurjective.recOn
Mathlib.AlgebraicGeometry.Cover.MorphismProperty
[ "AlgebraicGeometry.Scheme", "CategoryTheory.Precoverage", "AlgebraicGeometry.PresheafedSpace.carrier", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "CategoryTheory.Presieve", "CategoryTheory.ConcreteCategory.hom", "CommRingCat", "TopCat.instCategory", "ContinuousMap", "Membership.mem"...
false
contMDiffWithinAt_iff_of_mem_source'
Mathlib.Geometry.Manifold.ContMDiff.Defs
[ "Eq.mpr", "ContinuousWithinAt", "extChartAt", "ContMDiffWithinAt", "NormedSpace", "chartAt", "map_extChartAt_nhdsWithin'", "congrArg", "PartialEquiv.target", "Filter.map", "PartialEquiv", "nhdsWithin", "PseudoMetricSpace.toUniformSpace", "nhdsWithin_eq_iff_eventuallyEq", "Function.comp",...
true
_private.Mathlib.Topology.Algebra.InfiniteSum.ConditionalInt.0.SummationFilter.symmetricIcc_eq_symmetricIoo_int._proof_1_13
Mathlib.Topology.Algebra.InfiniteSum.ConditionalInt
[ "Lean.Grind.of_eq_eq_true", "Int.Linear.eq_of_core", "Lean.Grind.CommRing.le_norm_expr", "Lean.Grind.instOrderedRingInt", "Lean.RArray.leaf", "False", "Preorder.toLT", "HMul.hMul", "Lean.Grind.CommRing.Expr.mul", "instConditionallyCompleteLinearOrder", "Int.Linear.norm_le", "Lean.Grind.not_and...
false
CategoryTheory.MorphismProperty.instIsStableUnderTransfiniteCompositionOfShapeFunctorFunctorCategoryOfHasIterationOfShape
Mathlib.CategoryTheory.MorphismProperty.FunctorCategory
[ "CategoryTheory.MorphismProperty", "CategoryTheory.Functor", "Preorder.toLT", "CategoryTheory.CategoryStruct.toQuiver", "CategoryTheory.MorphismProperty.transfiniteCompositionsOfShape", "Quiver.Hom", "CategoryTheory.MorphismProperty.instCompleteBooleanAlgebra", "CategoryTheory.Limits.HasIterationOfSha...
true
_private.Mathlib.RingTheory.DedekindDomain.AdicValuation.0.IsDedekindDomain.HeightOneSpectrum.exists_intValuation_mul_sub_lt._simp_1_1
Mathlib.RingTheory.DedekindDomain.AdicValuation
[ "Submodule", "Lattice.toSemilatticeSup", "Submodule.completeLattice", "Membership.mem", "Exists", "CompleteLattice.toConditionallyCompleteLattice", "SemilatticeSup.toMax", "AddCommMonoid", "instHAdd", "And", "HAdd.hAdd", "Max.max", "Submodule.setLike", "propext", "Semiring", "AddCommSe...
false
_private.Mathlib.RingTheory.MvPowerSeries.LexOrder.0.MvPowerSeries.exists_finsupp_eq_lexOrder_of_ne_zero._simp_1_2
Mathlib.RingTheory.MvPowerSeries.LexOrder
[ "Exists", "Ne", "WithTop.ne_top_iff_exists", "WithTop.some", "WithTop.top", "propext", "Top.top", "Eq", "WithTop" ]
false
RingHom.mk'._proof_4
Mathlib.Algebra.Ring.Hom.Defs
[ "NonAssocSemiring.toAddCommMonoidWithOne", "MonoidHom.instFunLike", "MonoidHom", "ZeroHom.toFun", "AddGroupWithOne.toAddGroup", "AddMonoid.toAddZeroClass", "AddMonoidHom.toZeroHom", "AddZeroClass.toAddZero", "Distrib.toAdd", "NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring", "NonAssocSemiring....
false
_private.Mathlib.Data.List.Basic.0.List.mem_getLast?_eq_getLast._proof_1_14
Mathlib.Data.List.Basic
[ "Nat.succ_lt_succ_iff", "Lean.Grind.nestedProof", "HSub.hSub", "Eq.rec", "Nat.sub_sub", "instSubNat", "instOfNatNat", "List.cons", "List", "instHAdd", "instHSub", "HAdd.hAdd", "_private.Mathlib.Data.List.Basic.0.List.mem_getLast?_eq_getLast._proof_1_11", "Nat", "LT.lt", "Iff.mp", "Eq...
false
Ring.KrullDimLE.subsingleton_primeSpectrum
Mathlib.RingTheory.KrullDimension.Zero
[ "Ring.KrullDimLE.eq_maximalIdeal_of_isPrime", "PrimeSpectrum.ext", "PrimeSpectrum.isPrime", "CommSemiring.toSemiring", "IsLocalRing.maximalIdeal", "instOfNatNat", "IsLocalRing", "Ideal", "CommSemiring", "Subsingleton.intro", "Nat", "PrimeSpectrum", "Subsingleton", "OfNat.ofNat", "Eq.symm...
true
id_tensor_π_preserves_coequalizer_inv_colimMap_desc
Mathlib.CategoryTheory.Monoidal.Bimod
[ "CategoryTheory.Limits.PreservesColimitsOfShape.preservesColimit", "CategoryTheory.Limits.PreservesColimitsOfSize", "CategoryTheory.MonoidalCategoryStruct.whiskerLeft", "CategoryTheory.Limits.hasColimitOfHasColimitsOfShape", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "CategoryTheory.Limits....
true
_private.Lean.Compiler.LCNF.Internalize.0.Lean.Compiler.LCNF.Internalize.internalizeCodeDecl.match_4
Lean.Compiler.LCNF.Internalize
[ "Lean.Compiler.LCNF.CodeDecl.setTag", "Lean.Compiler.LCNF.Arg", "Lean.Compiler.LCNF.CodeDecl.dec", "Lean.Compiler.LCNF.CodeDecl.casesOn", "Lean.Expr", "Lean.Compiler.LCNF.FunDecl", "Lean.FVarId", "Lean.Compiler.LCNF.Purity", "Lean.Compiler.LCNF.CodeDecl.fun", "Lean.Compiler.LCNF.Purity.pure", "L...
false
EReal.top_ne_coe._simp_1
Mathlib.Data.EReal.Basic
[ "False", "Real", "eq_false", "EReal", "instTopEReal", "Top.top", "Eq", "EReal.top_ne_coe", "Real.toEReal" ]
false
Subsemiring.coe_prod._simp_1
Mathlib.Algebra.Ring.Subsemiring.Basic
[ "Set.instSProd", "Subsemiring.instSetLike", "SProd.sprod", "Subsemiring.coe_prod", "Subsemiring", "Subsemiring.prod", "NonAssocSemiring", "SetLike.coe", "Prod.instNonAssocSemiring", "Prod", "Eq.symm", "Eq", "Set" ]
false
QuadraticMap.zeroHomClass
Mathlib.LinearAlgebra.QuadraticForm.Basic
[ "CommSemiring.toSemiring", "AddMonoid.toAddZeroClass", "QuadraticMap.map_zero", "ZeroHomClass", "AddZeroClass.toAddZero", "QuadraticMap.instFunLike", "ZeroHomClass.mk", "AddCommMonoid", "CommSemiring", "AddZero.toZero", "AddCommMonoid.toAddMonoid", "Module", "QuadraticMap", "FunLike" ]
true
_private.Std.Data.String.ToNat.0.not_noRepetition_append_singleton_of_suffix
Std.Data.String.ToNat
[ "Iff.mpr", "Eq.mpr", "Classical.not_not._simp_1", "congrArg", "List.suffix_append_self_iff", "id", "_private.Std.Data.String.ToNat.0.NoRepetition", "List.IsSuffix.isInfix", "List.cons", "List.IsInfix", "instHAppendOfAppend", "List", "_private.Std.Data.String.ToNat.0.not_noRepetition_append_s...
true
Std.DTreeMap.Internal.Impl.balanceL!_pair_congr
Std.Data.DTreeMap.Internal.Model
[ "HEq.refl", "Sigma.mk.noConfusion", "Eq.casesOn", "eq_of_heq", "Eq.ndrec", "Std.DTreeMap.Internal.Impl.balanceL!", "Eq.refl", "HEq", "Sigma.mk", "Eq.symm", "Eq", "Std.DTreeMap.Internal.Impl", "Sigma" ]
true
Module.mapEvalEquiv
Mathlib.LinearAlgebra.Dual.Defs
[ "Submodule", "Semiring.toModule", "CommSemiring.toSemiring", "DistribMulAction.toDistribSMul", "Module.IsReflexive", "AddMonoid.toAddZeroClass", "PartialOrder.toPreorder", "Preorder.toLE", "AddZeroClass.toAddZero", "DistribSMul.toSMulZeroClass", "OrderIso", "Submodule.instPartialOrder", "Lin...
true
SimplexCategory.δ_comp_σ_of_le
Mathlib.AlgebraicTopology.SimplexCategory.Basic
[ "Iff.mpr", "Fin.succAbove_of_le_castSucc", "Fin.succAbove", "Eq.mpr", "Fin.ext_iff", "Preorder.toLT", "Fin.ne_zero_of_lt", "CategoryTheory.CategoryStruct.toQuiver", "Fin.castPred_castSucc", "Quiver.Hom", "Fin.succ", "Fin.pred", "congrArg", "Fin.predAbove_of_castSucc_lt", "Fin.ne_of_lt", ...
true
_private.Mathlib.Algebra.Polynomial.UnitTrinomial.0.Polynomial.isUnitTrinomial_iff'._simp_1_1
Mathlib.Algebra.Polynomial.UnitTrinomial
[ "Monoid", "Units.val", "Units", "Monoid.toPow", "HPow.hPow", "Nat", "instHPow", "Units.val_pow_eq_pow_val", "Eq.symm", "Eq", "Units.instMonoid" ]
false
Polynomial.SplittingField.instCharZero
Mathlib.FieldTheory.SplittingField.Construction
[ "Algebra.algebraMap", "AddGroupWithOne.toAddMonoidWithOne", "Polynomial.SplittingField", "Field.toDivisionRing", "Field.instIsLocalRing", "Algebra.id", "DivisionRing.toRing", "CommRing.toNonAssocCommRing", "Field.toSemifield", "RingHom.injective", "Field.toCommRing", "Polynomial", "CharZero"...
true
_private.Mathlib.Analysis.SpecialFunctions.ArithmeticGeometricMean.0.NNReal.bddAbove_range_agmSequences_fst._simp_1_3
Mathlib.Analysis.SpecialFunctions.ArithmeticGeometricMean
[ "propext", "forall_apply_eq_imp_iff", "Eq" ]
false
FreeGroup.isReduced_iff_reduce_eq
Mathlib.GroupTheory.FreeGroup.Reduce
[ "FreeGroup.IsReduced.reduce_eq", "FreeGroup.IsReduced", "List", "Iff", "Iff.intro", "Bool", "FreeGroup.IsReduced.of_reduce_eq", "Prod", "Eq", "FreeGroup.reduce", "DecidableEq" ]
true
instLTBitVec
Init.Prelude
[ "LT.mk", "BitVec", "BitVec.toNat", "Nat", "LT.lt", "instLTNat", "LT" ]
true
PMF.uniformOfFintype_apply
Mathlib.Probability.Distributions.Uniform
[ "Finset.univ", "congrArg", "PMF", "Finset", "PMF.instFunLike", "Classical.propDecidable", "Membership.mem", "Fintype.card", "PMF.uniformOfFintype", "AddMonoidWithOne.toNatCast", "AddCommMonoidWithOne.toAddMonoidWithOne", "ite_cond_eq_true", "Nat.cast", "Inv.inv", "Fintype", "Finset.ins...
true
ciSup_eq_ite
Mathlib.Order.ConditionallyCompletePartialOrder.Indexed
[ "dite_cond_eq_true", "Iff.mpr", "Inhabited.default", "ciSup_unique", "False", "eq_false", "Iff.of_eq", "congrArg", "iSup", "Decidable", "dite", "iSup_congr_Prop", "congr", "True", "eq_self", "eq_true", "Set.instEmptyCollection", "of_eq_true", "Eq.refl", "ConditionallyCompletePa...
true
_private.Mathlib.GroupTheory.Perm.Finite.0.Equiv.Perm.disjoint_support_closure_of_disjoint_support._simp_1_2
Mathlib.GroupTheory.Perm.Finite
[ "CompleteBooleanAlgebra.toCompleteDistribLattice", "Disjoint", "Set.disjoint_iUnion_right", "CompleteLattice.toCompleteSemilatticeInf", "CompleteSemilatticeInf.toPartialOrder", "propext", "CompleteDistribLattice.toFrame", "CompleteBooleanAlgebra.toCompleteLattice", "Order.Frame.toHeytingAlgebra", ...
false
Pi.mulSingle_le_mulSingle._gcongr_3
Mathlib.Algebra.Order.Pi
[ "Iff.mpr", "One", "Preorder.toLE", "LE.le", "Pi.hasLe", "Pi.mulSingle", "Preorder", "Pi.mulSingle_le_mulSingle", "DecidableEq" ]
false
CategoryTheory.MorphismProperty.IsStableUnderComonoid.recOn
Mathlib.CategoryTheory.CopyDiscardCategory.Widesubcategory
[ "CategoryTheory.ComonObj.comul", "CategoryTheory.MorphismProperty.IsStableUnderComonoid", "CategoryTheory.MorphismProperty", "CategoryTheory.MonoidalCategory", "CategoryTheory.ComonObj", "CategoryTheory.ComonObj.counit", "CategoryTheory.MorphismProperty.IsStableUnderComonoid.mk", "CategoryTheory.Morph...
false
String.Slice.toList_split_prop
Init.Data.String.Lemmas.Pattern.Split.Pred
[ "Pure.pure", "String.Slice.Subslice", "String.Slice.Subslice.toSlice", "congrArg", "Monad.toApplicative", "String", "String.Slice.Pattern.CharPred.instStrictForwardPatternForallCharBool", "List.map", "Std.Iterators.Types.Map.instIterator", "MonadLiftT.monadLift", "instMonadLiftT", "String.Slic...
true
ISize.toInt_maxValue
Init.Data.SInt.Lemmas
[ "instPowNat", "Eq.mpr", "ISize.maxValue", "ISize.ofInt", "congrArg", "HSub.hSub", "ISize.maxValue.eq_1", "id", "Int.instNegInt", "instSubNat", "instOfNatNat", "Int", "Int.instNatPow", "LE.le", "ISize.toInt_ofInt_of_two_pow_numBits_le", "Or.casesOn", "Int.instLTInt", "System.Platfor...
true
_private.Mathlib.Tactic.Find.0.Mathlib.Tactic.Find.matchHyps
Mathlib.Tactic.Find
[ "Inhabited.default", "Lean.Expr", "Lean.Meta.MetaM", "List", "Lean.Meta.instInhabitedMetaM", "Bool" ]
true
LaurentSeries.val_le_one_iff_eq_coe
Mathlib.RingTheory.LaurentSeries
[ "Int.instAddCommGroup", "WithZero.instNontrivial", "Eq.mpr", "Int.instAddCommMonoid", "LinearOrderedCommGroupWithZero.toLinearOrderedCommMonoidWithZero", "NegZeroClass.toNeg", "NonAssocSemiring.toAddCommMonoidWithOne", "_private.Mathlib.RingTheory.LaurentSeries.0.LaurentSeries.val_le_one_iff_eq_coe._p...
true
Lean.Lsp.DiagnosticCode
Lean.Data.Lsp.Diagnostics
[ "Lean.Lsp.DiagnosticCode.string", "Lean.Lsp.DiagnosticCode.int" ]
true
Ordnode.eraseMin._unsafe_rec
Mathlib.Data.Ordmap.Ordnode
[ "Ordnode", "Ordnode.node", "Unit", "Ordnode.eraseMin.match_1", "Nat", "Ordnode.nil", "Ordnode.eraseMin._unsafe_rec", "Ordnode.balanceR" ]
false
UpperSet.coe_nonempty
Mathlib.Order.UpperLower.CompleteLattice
[ "UpperSet", "UpperSet.coe_eq_empty", "UpperSet.instSetLike", "Iff.not", "Ne", "LE", "Iff", "Set.Nonempty", "SetLike.coe", "Set.instEmptyCollection", "Set.nonempty_iff_ne_empty", "Iff.trans", "UpperSet.instTop", "EmptyCollection.emptyCollection", "Top.top", "Eq", "Set" ]
true
_private.Mathlib.RingTheory.Lasker.0.Submodule.IsMinimalPrimaryDecomposition.comap_localized₀_eq_ite._simp_1_9
Mathlib.RingTheory.Lasker
[ "Subtype.forall", "Subtype", "Subtype.mk", "propext", "Eq" ]
false
_private.Lean.Meta.Tactic.Cbv.Util.0.Lean.Meta.Tactic.Cbv.isBitVecValue
Lean.Meta.Tactic.Cbv.Util
[ "Lean.Meta.Sym.BitVecValue", "Lean.Expr", "Bool", "Option.isSome", "Lean.Meta.Sym.getBitVecValue?" ]
true
ContinuousMap.instRegularSpace
Mathlib.Topology.CompactOpen
[ "Filter.instMembership", "Iff.mpr", "ContinuousMap.continuous", "Eq.mpr", "Set.MapsTo.mono_right", "RegularSpace", "congrArg", "subset_closure", "ContinuousMap", "Filter.Eventually", "PartialOrder.toPreorder", "setOf", "Preorder.toLE", "Set.mapsTo_iff_image_subset", "Membership.mem", "...
true
Std.IterM.Partial.it
Init.Data.Iterators.Consumers.Monadic.Partial
[ "Std.IterM", "Std.IterM.Partial" ]
true
AlgebraicTopology.DoldKan.Γ₀.Obj.map._proof_1
Mathlib.AlgebraicTopology.DoldKan.FunctorGamma
[ "CategoryTheory.Limits.HasImages.has_image", "Opposite", "CategoryTheory.Epi", "Quiver.opposite", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "CategoryTheory.SimplicialObject.Splitting.IndexSet", "Quiver.Hom.unop", "Subtype", "Sigma.fst", "SimplexCategory.instHasStrongEpiMonoFactoris...
false
Algebra.TensorProduct.tensorQuotientEquiv_symm_apply_tmul
Mathlib.RingTheory.TensorProduct.Quotient
[ "Submodule.Quotient.addCommMonoid", "CommRing", "NonUnitalCommRing.toNonUnitalNonAssocCommRing", "Semiring.toModule", "IsScalarTower.right", "CommRing.toNonUnitalCommRing", "AlgEquiv.symm", "CommSemiring.toSemiring", "Algebra.TensorProduct.instCommRing", "Ideal.Quotient.mk", "AlgHom", "IsScala...
true
Std.ExtTreeMap.union_insert_right_eq_insert_union
Std.Data.ExtTreeMap.Lemmas
[ "Eq.mpr", "Std.ExtDTreeMap.insert.congr_simp", "Std.ExtDTreeMap.instUnionOfTransCmp", "congrArg", "Std.ExtDTreeMap.insert", "Std.ExtTreeMap.mk", "Std.ExtDTreeMap.union_eq", "Ordering", "id", "Std.ExtTreeMap.union", "Sigma.fst", "Std.TransCmp", "Std.ExtDTreeMap.union", "Std.ExtTreeMap", "...
true
String.Slice.Pattern.Model.IsValidSearchFrom.mismatched_of_eq
Init.Data.String.Lemmas.Pattern.Basic
[ "String.instLEPos_1", "String.Slice.Pattern.Model.IsValidSearchFrom", "HEq.refl", "String.Slice.Pattern.SearchStep", "String.Slice", "Eq.casesOn", "String.Slice.Pattern.SearchStep.rejected", "LE.le", "List.cons", "List", "LT.lt", "String.instLTPos_1", "Eq.ndrec", "Eq.refl", "HEq", "Str...
true
Std.ExtDHashMap.mem_modify
Std.Data.ExtDHashMap.Lemmas
[ "Std.ExtDHashMap.instMembershipOfEquivBEqOfLawfulHashable", "instLawfulHashableOfLawfulBEq", "Std.ExtDHashMap.modify", "LawfulBEq", "Membership.mem", "Std.ExtDHashMap.inductionOn", "Iff", "Std.DHashMap.mem_modify", "Std.ExtDHashMap", "Hashable", "instEquivBEqOfLawfulBEq", "BEq", "Std.DHashMa...
true
CategoryTheory.MonoidalCategory.whiskerLeftIso_trans
Mathlib.CategoryTheory.Monoidal.Category
[ "CategoryTheory.MonoidalCategory.whiskerLeftIso", "CategoryTheory.MonoidalCategory", "CategoryTheory.MonoidalCategory.whiskerLeft_comp", "CategoryTheory.Iso", "CategoryTheory.MonoidalCategoryStruct.tensorObj", "CategoryTheory.Iso.trans", "CategoryTheory.MonoidalCategory.toMonoidalCategoryStruct", "Cat...
true
List.isEmpty_reverse
Init.Data.List.Lemmas
[ "False", "congrArg", "List.append_eq_nil_iff._simp_1", "List.cons_ne_self._simp_1", "Ne", "List.isEmpty_eq_false_iff._simp_1", "List.cons", "Bool.true", "List.reverse_cons", "instHAppendOfAppend", "List", "And", "List.isEmpty", "congr", "True", "List.casesOn", "eq_self", "List.reve...
true
Std.TreeSet.Raw.insertMany_list_equiv_foldl
Std.Data.TreeSet.Raw.Lemmas
[ "Eq.mpr", "Unit.unit", "Std.TreeSet.Raw.Equiv.mk", "List.foldl_hom", "congrArg", "instForInOfForIn'", "Std.TreeMap.Raw.insertIfNew", "Ordering", "inferInstance", "id", "Std.TreeMap.Raw.Equiv", "List.foldl", "Id", "Membership", "Std.TreeMap.Raw", "List", "Std.TreeSet.Raw.insert", "S...
true
CategoryTheory.ComposableArrows.homMkSucc
Mathlib.CategoryTheory.ComposableArrows.Basic
[ "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "CategoryTheory.ComposableArrows.homMkSucc._proof_7", "CategoryTheory.ComposableArrows.map'._proof_8", "CategoryTheory.ComposableArrows.homMkSucc._proof_6", "CategoryTheory.ComposableArrows.app'", "PartialOrder.toPreorder", "CategoryTheory.Functo...
true
_private.Mathlib.LinearAlgebra.Projection.0.LinearMap.IsIdempotentElem.commute_iff_of_isUnit._simp_1_4
Mathlib.LinearAlgebra.Projection
[ "Sublattice", "Submodule", "RingHomSurjective.ids", "LinearEquiv.symm", "Submodule.completeLattice", "PartialOrder.toPreorder", "Preorder.toLE", "Membership.mem", "CompleteLattice.toConditionallyCompleteLattice", "Submodule.instPartialOrder", "LE.le", "AddCommMonoid", "LinearEquiv.toLinearMa...
false
Ideal.quotientEquivDirectSum
Mathlib.LinearAlgebra.FreeModule.IdealQuotient
[ "Ideal.finrank_eq_finrank", "IsDomain", "Submodule.Quotient.addCommMonoid", "CommRing", "NonUnitalCommRing.toNonUnitalNonAssocCommRing", "Semiring.toModule", "IsScalarTower.right", "CommRing.toNonUnitalCommRing", "instAddCommMonoidDirectSum", "DirectSum.instModule", "CommSemiring.toSemiring", ...
true
CategoryTheory.Functor.DenseAt.ofIso
Mathlib.CategoryTheory.Functor.KanExtension.DenseAt
[ "CategoryTheory.Functor", "CategoryTheory.Functor.LeftExtension.mk", "CategoryTheory.Functor.category", "CategoryTheory.Functor.rightUnitor", "CategoryTheory.Functor.comp", "CategoryTheory.Functor.id", "CategoryTheory.Iso", "CategoryTheory.Functor.DenseAt", "CategoryTheory.Functor.LeftExtension.isPo...
true
Option.merge.eq_4
Init.Omega.Constraint
[ "Option.some", "Option.merge", "Eq.refl", "Eq", "Option" ]
true
SemiRingCat.FilteredColimits.colimitCoconeIsColimit._proof_2
Mathlib.Algebra.Category.Ring.FilteredColimits
[ "SemiRingCat.FilteredColimits.colimitSemiring", "NonAssocSemiring.toAddCommMonoidWithOne", "MulOne.toOne", "CategoryTheory.Functor", "CategoryTheory.Limits.Cocone", "MonoidHom.instFunLike", "SemiRingCat.FilteredColimits.R", "MonoidHom", "AddMonoid.toAddZeroClass", "AddZeroClass.toAddZero", "Semi...
false
Lean.Server.RequestCancellation._sizeOf_1
Lean.Server.RequestCancellation
[ "Lean.Server.RequestCancellation", "instOfNatNat", "Lean.Server.RequestCancellation.rec", "Nat", "OfNat.ofNat" ]
false
ContinuousLinearEquiv.equivLike._proof_1
Mathlib.Topology.Algebra.Module.Equiv
[ "LinearEquiv.casesOn", "Function.LeftInverse", "instHSMul", "Continuous", "ContinuousLinearEquiv.mk", "LinearMap.casesOn", "LinearEquiv.mk", "ContinuousLinearEquiv.toLinearEquiv", "DistribMulAction.toDistribSMul", "AddHom", "AddMonoid.toAddZeroClass", "AddHom.casesOn", "RingHom", "Eq.rec",...
false
Lean.FindLevelMVar.main._unsafe_rec
Lean.Util.FindLevelMVar
[ "Lean.FindLevelMVar.visit._unsafe_rec", "Function.comp", "Lean.Expr", "id", "Lean.Level", "Lean.FindLevelMVar.visitLevel", "_private.Lean.Util.FindLevelMVar.0.Lean.FindLevelMVar.main.match_1", "List", "Lean.MData", "Nat", "Bool", "Lean.Name", "Lean.BinderInfo", "List.foldr", "Lean.LMVarI...
false
CategoryTheory.Enriched.FunctorCategory.homEquiv_apply_π_assoc
Mathlib.CategoryTheory.Enriched.FunctorCategory
[ "CategoryTheory.Category.assoc", "CategoryTheory.Functor", "Equiv.instEquivLike", "CategoryTheory.EnrichedOrdinaryCategory", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "congrArg", "CategoryTheory.Enriched.FunctorCategory.enrichedHomπ", "CategoryTheory.MonoidalCategory", "CategoryTheor...
true
FirstCountableTopology.frechetUrysohnSpace
Mathlib.Topology.Sequences
[ "Iff.mpr", "Filter.tendsto_iff_seq_tendsto", "Function.comp", "nhds", "FirstCountableTopology", "Filter.atTop", "TopologicalSpace", "Filter.Tendsto", "Nat.instPreorder", "Nat", "sierpinskiSpace", "FrechetUrysohnSpace.of_seq_tendsto_imp_tendsto", "FirstCountableTopology.nhds_generated_countab...
true
Int.cast_le_neg_one_of_neg
Mathlib.Algebra.Order.Ring.Cast
[ "AddGroup.toSubtractionMonoid", "Int.cast_neg", "Int.cast", "Eq.mpr", "NegZeroClass.toNeg", "Int.cast_le", "Ring.toNonAssocRing", "AddGroupWithOne.toAddGroup", "congrArg", "NeZero.charZero_one", "LinearOrder", "PartialOrder.toPreorder", "AddGroupWithOne.toAddMonoidWithOne", "IsStrictOrdere...
true
WithZero.instAddMonoidWithOne
Mathlib.Algebra.GroupWithZero.WithZero
[ "AddMonoidWithOne.mk", "AddMonoid.toAddSemigroup", "WithZero.instAddMonoidWithOne._proof_1", "WithZero.instAddMonoidWithOne._proof_2", "AddMonoidWithOne.toNatCast", "instOfNatNat", "Nat.cast", "WithZero.one", "WithZero.instZero", "AddMonoidWithOne.toOne", "WithZero", "WithZero.instAddMonoid", ...
true
lt_of_mul_self_lt_mul_self₀
Mathlib.Algebra.Order.GroupWithZero.Unbundled.Basic
[ "Eq.mpr", "Preorder.toLT", "HMul.hMul", "MulZeroClass.toMul", "lt_of_pow_lt_pow_left₀", "congrArg", "LinearOrder", "PartialOrder.toPreorder", "Preorder.toLE", "id", "instOfNatNat", "LE.le", "Monoid.toPow", "MulPosMono", "_private.Mathlib.Algebra.Order.GroupWithZero.Unbundled.Basic.0.lt_o...
true
Module.piEquiv
Mathlib.LinearAlgebra.StdBasis
[ "Pi.Function.module", "Semiring.toModule", "Pi.addCommMonoid", "CommSemiring.toSemiring", "Finite", "Module.piEquiv._proof_1", "LinearMap.module", "LinearMap", "smulCommClass_self", "AddCommMonoid", "CommSemiring", "NonUnitalNonAssocSemiring.toAddCommMonoid", "CommMonoid.toMonoid", "NonAss...
true
Orientation.rotationAux._proof_1
Mathlib.Geometry.Euclidean.Angle.Oriented.Rotation
[ "Mathlib.Tactic.Ring.Common.mul_pf_left", "LinearIsometryEquiv.instEquivLike", "AddGroup.toSubtractionMonoid", "LinearMap.id", "Mathlib.Tactic.Ring.Common.neg_zero", "Eq.mpr", "InnerProductSpace.toNormedSpace", "NegZeroClass.toNeg", "NonAssocSemiring.toAddCommMonoidWithOne", "Mathlib.Tactic.Ring.C...
false
Valuation.RankLeOne.mk._flat_ctor
Mathlib.RingTheory.Valuation.RankOne
[ "GroupWithZero.toMonoidWithZero", "LinearOrderedCommGroupWithZero.toLinearOrderedCommMonoidWithZero", "StrictMono", "ValuationClass.toMonoidWithZeroHomClass", "Monoid.toMulOneClass", "PartialOrder.toPreorder", "Valuation.RankLeOne.mk", "LinearOrderedCommMonoidWithZero.toLinearOrder", "MonoidWithZero...
false
ContinuousLinearMap.bilinear_hasTemperateGrowth
Mathlib.Analysis.Distribution.TemperateGrowth
[ "NormedCommRing.toNormedRing", "Norm.norm", "Eq.mpr", "NormedCommRing.toSeminormedCommRing", "Real.instLE", "Semigroup.toMul", "Real", "Asymptotics.IsBigO.of_norm_le", "Asymptotics.IsBigO.norm_left", "Nat.choose", "Prod.normedSpace", "Asymptotics.IsBigO.const_mul_left", "NormedRing.toRing", ...
true
_private.Mathlib.Data.List.NodupEquivFin.0.List.sublist_iff_exists_orderEmbedding_getElem?_eq._simp_1_1
Mathlib.Data.List.NodupEquivFin
[ "LE.le", "instLENat", "Nat.succ_le_succ_iff", "Nat", "propext", "Nat.succ", "Eq" ]
false
Lean.Grind.ToInt.toInt.eq_1
Init.GrindInstances.ToInt
[ "Lean.Grind.ToInt.toInt", "Int", "Eq.refl", "Eq", "Lean.Grind.ToInt", "Lean.Grind.IntInterval" ]
true
_private.Lean.Meta.Tactic.Grind.Arith.CommRing.Poly.0.Lean.Grind.CommRing.Poly.numTerms.go._unsafe_rec
Lean.Meta.Tactic.Grind.Arith.CommRing.Poly
[ "Lean.Grind.CommRing.Poly", "instOfNatNat", "Int", "instHAdd", "HAdd.hAdd", "Nat", "instAddNat", "OfNat.ofNat", "_private.Lean.Meta.Tactic.Grind.Arith.CommRing.Poly.0.Lean.Grind.CommRing.Poly.numTerms.go._unsafe_rec", "Lean.Grind.CommRing.Mon", "_private.Lean.Meta.Tactic.Grind.Arith.CommRing.Pol...
false
Lean.Meta.Try.Collector.OrdSet.set
Lean.Meta.Tactic.Try.Collect
[ "Std.HashSet", "Lean.Meta.Try.Collector.OrdSet", "Hashable", "BEq" ]
true
_private.Mathlib.Topology.Algebra.InfiniteSum.Defs.0.hasProd_fintype_support._simp_1_1
Mathlib.Topology.Algebra.InfiniteSum.Defs
[ "Set.iInter", "Membership.mem", "Set.mem_iInter", "propext", "Eq", "Set.instMembership", "Set" ]
false
hasStrictDerivAt_abs
Mathlib.Analysis.Calculus.Deriv.Abs
[ "IsModuleTopology.toContinuousSMul", "SignType.cast", "Eq.mpr", "NegZeroClass.toNeg", "NormedCommRing.toSeminormedCommRing", "Real", "Preorder.toLT", "NonUnitalCommRing.toNonUnitalNonAssocCommRing", "Semiring.toModule", "Real.lattice", "hasStrictDerivAt_abs_pos", "IsTopologicalRing.toIsTopolog...
true
DistribSMul.toAddMonoidHom_eq_zsmulAddGroupHom
Mathlib.Algebra.Module.NatInt
[ "DistribMulAction.toDistribSMul", "AddCommGroup.toAddCommMonoid", "AddMonoid.toAddZeroClass", "AddCommGroup.toAddGroup", "AddZeroClass.toAddZero", "AddCommGroup", "Int", "zsmulAddGroupHom", "Int.instMonoid", "AddGroup.toSubNegMonoid", "AddCommGroup.toIntModule", "Module.toDistribMulAction", ...
true
Representation.IntertwiningMap.rTensor_zero
Mathlib.RepresentationTheory.Intertwining
[ "Monoid", "Representation", "LinearMap.ext", "congrArg", "CommSemiring.toSemiring", "TensorProduct.addCommMonoid", "AddMonoid.toAddZeroClass", "LinearMap.instFunLike", "Algebra.toSMul", "AddZeroClass.toAddZero", "Algebra.id", "Representation.tprod", "LinearMap.module", "LinearMap", "IsSc...
true
Fin.dfoldrM.loop._sunfold
Batteries.Data.Fin.Basic
[ "Pure.pure", "instNeZeroNatHAdd_1", "Fin.dfoldrM.loop._proof_2", "Fin.succ", "Fin.dfoldrM.loop", "Monad.toApplicative", "Fin.mk", "Fin.instOfNat", "instOfNatNat", "Applicative.toPure", "instHAdd", "HAdd.hAdd", "Nat.instNeZeroSucc", "Fin.dfoldrM.loop.match_1", "Nat", "LT.lt", "instAdd...
false
WellFounded.partialExtrinsicFix₂_eq_partialExtrinsicFix
Init.WFExtrinsicFix
[ "PSigma.snd", "_private.Init.WFExtrinsicFix.0.WellFounded.partialExtrinsicFix._proof_2", "Eq.mpr", "InvImage.accessible", "_private.Init.WFExtrinsicFix.0.WellFounded.partialExtrinsicFix._proof_3", "congrArg", "InvImage", "instInhabitedTrue", "_private.Init.WFExtrinsicFix.0.WellFounded.partialExtrins...
true
CategoryTheory.Functor.sheafInducedTopologyEquivOfIsCoverDense._proof_2
Mathlib.CategoryTheory.Sites.DenseSubsite.InducedTopology
[ "CategoryTheory.Functor.op", "CategoryTheory.Functor.IsDenseSubsite.instIsEquivalenceSheafSheafPushforwardContinuous", "CategoryTheory.Functor", "CategoryTheory.Functor.IsCoverDense", "Opposite", "CategoryTheory.Limits.HasLimitsOfShape", "CategoryTheory.Functor.inducedTopology", "CategoryTheory.Functo...
false
matPolyEquiv_symm_map_eval
Mathlib.RingTheory.MatrixPolynomialAlgebra
[ "Polynomial.C", "Polynomial.eval", "Matrix.scalar", "DFunLike.congr_fun", "AlgEquiv.toAlgHom", "AlgEquiv.symm", "Polynomial.eval_C", "CommSemiring.toNonUnitalCommSemiring", "congrArg", "CommSemiring.toSemiring", "Matrix.instMulOfFintypeOfAddCommMonoid", "Matrix", "AlgHom", "Polynomial.eval...
true
MonoidWithZero.toOppositeMulActionWithZero
Mathlib.Algebra.GroupWithZero.Action.Defs
[ "SMulWithZero.toSMulZeroClass", "MulOpposite", "MulOpposite.instMonoidWithZero", "SemigroupAction.mk", "MulActionWithZero", "MonoidWithZero.toOppositeMulActionWithZero._proof_3", "MonoidWithZero.toOppositeMulActionWithZero._proof_2", "MonoidWithZero.toOppositeMulActionWithZero._proof_1", "MulOpposit...
true
Module.Basis.dualBasis_coord_toDualEquiv_apply
Mathlib.LinearAlgebra.Dual.Basis
[ "Finsupp.instFunLike", "LinearEquiv.symm", "Semiring.toModule", "Finsupp.module", "Module.Basis.coord", "congrArg", "CommSemiring.toSemiring", "DistribMulAction.toDistribSMul", "Finite", "AddMonoid.toAddZeroClass", "Module.Basis.map", "LinearMap.instFunLike", "AddZeroClass.toAddZero", "Lin...
true
Lean.Parser.Module.module.formatter
Lean.Parser.Module.Syntax
[ "Lean.PrettyPrinter.Formatter", "Lean.ppLine.formatter", "Lean.Parser.withCache.formatter", "Lean.Parser.leadingNode.formatter", "Lean.Parser.commandParser.formatter", "instOfNatNat", "Lean.PrettyPrinter.Formatter.withAntiquot.formatter", "Bool.true", "Lean.Parser.many.formatter", "Nat", "Lean.P...
true
Module.Basis.noConfusionType
Mathlib.LinearAlgebra.Basis.Defs
[ "Semiring.toModule", "Finsupp.module", "AddCommMonoid", "Finsupp.instAddCommMonoid", "NonUnitalNonAssocSemiring.toAddCommMonoid", "Module.Basis", "NonAssocSemiring.toNonUnitalNonAssocSemiring", "RingHomInvPair.ids", "LinearEquiv", "Semiring", "HEq", "Module", "RingHom.id", "Semiring.toNonA...
false
_private.Std.Data.DTreeMap.Internal.Lemmas.0.Std.DTreeMap.Internal.Impl.Equiv.minKey!_eq._simp_1_3
Std.Data.DTreeMap.Internal.Lemmas
[ "Ord", "Membership.mem", "Bool.true", "Std.DTreeMap.Internal.Impl.contains", "propext", "Bool", "Std.DTreeMap.Internal.Impl.mem_iff_contains", "Eq", "Std.DTreeMap.Internal.Impl", "Std.DTreeMap.Internal.Impl.instMembershipOfOrd" ]
false
Std.Internal.List.getValueCast_alterKey._proof_1
Std.Data.Internal.List.Associative
[ "Std.Internal.List.DistinctKeys", "congrArg", "Std.Internal.List.getValueCast?", "LawfulBEq", "Eq.mp", "instDecidableEqBool", "if_pos", "Bool.true", "List", "Std.Internal.List.containsKey", "BEq.beq", "Std.Internal.List.alterKey", "Bool", "Option.isSome", "Std.Internal.List.containsKey_a...
false
_private.Mathlib.LinearAlgebra.Matrix.Transvection.0.Matrix.Pivot.reindex_exists_list_transvec_mul_mul_list_transvec_eq_diagonal._simp_1_2
Mathlib.LinearAlgebra.Matrix.Transvection
[ "HMul.hMul", "Matrix", "Matrix.instHMulOfFintypeOfMulOfAddCommMonoid", "Algebra", "Matrix.instAlgebra", "Equiv", "Matrix.reindexAlgEquiv_mul", "instDistribOfSemiring", "CommSemiring", "NonUnitalNonAssocSemiring.toAddCommMonoid", "Matrix.reindexAlgEquiv", "Fintype", "Distrib.toMul", "AlgEqu...
false
Colex.instSMul'.eq_1
Mathlib.Algebra.Order.Group.Synonym
[ "Colex", "SMul", "Colex.instSMul'", "Eq.refl", "Eq" ]
true
Batteries.RBNode.Balanced.nil
Batteries.Data.RBMap.Basic
[ "Batteries.RBNode.nil", "instOfNatNat", "Batteries.RBNode.Balanced.nil", "Nat", "Batteries.RBColor.black", "OfNat.ofNat", "Batteries.RBNode.Balanced" ]
true