name
stringlengths
2
347
module
stringlengths
6
90
deps
listlengths
0
686
allowCompletion
bool
2 classes
DirectSum.GSemiring.natCast_succ
Mathlib.Algebra.DirectSum.Ring
[ "AddMonoid.toAddZeroClass", "AddZeroClass.toAddZero", "GradedMonoid.GOne.one", "instOfNatNat", "DirectSum.GSemiring.toGOne", "AddCommMonoid", "AddZero.toZero", "instHAdd", "DirectSum.GSemiring", "HAdd.hAdd", "Nat", "AddMonoid", "instAddNat", "Zero.toOfNat0", "AddCommSemigroup.toAddCommMa...
true
CategoryTheory.Limits.CategoricalPullback.CatCommSqOver.precomposeObjTransformObjSquare_iso_hom_app_fst_app
Mathlib.CategoryTheory.Limits.Shapes.Pullback.Categorical.Basic
[ "CategoryTheory.Functor", "CategoryTheory.Limits.CategoricalPullback.CatCommSqOver.transform", "CategoryTheory.Limits.CategoricalPullback.CatCommSqOver.instCategory", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "CategoryTheory.Functor.category", "CategoryTheory.Functor.comp", "CategoryTheo...
true
Pi.isAtom_iff
Mathlib.Order.Atoms
[ "Pi.preorder", "Preorder.toLT", "congrArg", "CovBy", "OrderBot.toBot", "PartialOrder.toPreorder", "_private.Mathlib.Order.Atoms.0.Pi.isAtom_iff._simp_1_1", "Preorder.toLE", "OrderBot", "Exists", "PartialOrder", "Pi.instOrderBot", "Ne", "Bot.bot", "_private.Mathlib.Order.Atoms.0.Pi.isAtom...
true
AlgebraicGeometry.StructureSheaf.isLocalizedModule_toPushforwardStalkAlgHom_aux
Mathlib.AlgebraicGeometry.Spec
[ "NonUnitalNonAssocCommRing.toNonUnitalNonAssocCommSemiring", "CategoryTheory.Functor.op", "Eq.mpr", "RingHom.instRingHomClass", "CategoryTheory.Functor", "instHSMul", "Lattice.toSemilatticeSup", "NonUnitalCommRing.toNonUnitalNonAssocCommRing", "IsLocalization.surj", "CommRingCat.Hom.hom", "Semir...
true
UInt32.ne_of_toBitVec_ne
Init.Data.UInt.Lemmas
[ "UInt32.toBitVec", "False", "BitVec", "Ne", "instOfNatNat", "UInt32.toBitVec_eq_of_eq", "absurd", "Nat", "UInt32", "OfNat.ofNat", "Eq" ]
true
HasFPowerSeriesOnBall.differentiableOn
Mathlib.Analysis.Calculus.FDeriv.Analytic
[ "NormedCommRing.toSeminormedCommRing", "NonUnitalCommRing.toNonUnitalNonAssocCommRing", "CompleteSpace", "NormedSpace.toIsBoundedSMul", "UniformContinuousConstSMul.to_continuousConstSMul", "NormedSpace", "FormalMultilinearSeries", "NormedAddCommGroup.toMetricSpace", "DistribMulAction.toDistribSMul",...
true
CategoryTheory.Bicategory.precomp
Mathlib.CategoryTheory.Bicategory.Basic
[ "CategoryTheory.Functor", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "CategoryTheory.Functor.mk", "CategoryTheory.Bicategory.toCategoryStruct", "CategoryTheory.Bicategory.precomp._proof_4", "CategoryTheory.Bicategory", "CategoryTheory.CategoryStruct.comp", "CategoryTheory.Category.toCat...
true
Padic.padicNormE.image
Mathlib.NumberTheory.Padics.PadicNumbers
[ "padicNorm.instIsAbsoluteValueRat", "NormedCommRing.toNormedRing", "Norm.norm", "Eq.mpr", "PadicSeq.norm_values_discrete", "Real", "Nat.Prime", "PadicSeq.ne_zero_iff_nequiv_zero", "NormedRing.toRing", "instZeroPadic", "congrArg", "Real.instRatCast", "Rat", "CauSeq.Completion.Cauchy", "Ra...
true
Lean.Grind.AC.Context.rec
Init.Grind.AC
[ "Lean.Grind.AC.Context", "PLift", "Lean.Grind.AC.Context.mk", "Lean.RArray" ]
false
Mathlib.Tactic.TermCongr.mkIffForExpectedType
Mathlib.Tactic.TermCongr
[ "Pure.pure", "Lean.MessageData", "Lean.MonadError.mk", "Lean.instMonadExceptOfExceptionCoreM", "Lean.MetavarKind.natural", "Lean.indentD", "String", "Lean.Meta.State", "Lean.Expr.const", "Lean.instAddErrorMessageContextOfAddMessageContextOfMonad", "_private.Mathlib.Tactic.TermCongr.0.Mathlib.Tac...
true
SchwartzMap.ctorIdx
Mathlib.Analysis.Distribution.SchwartzSpace.Basic
[ "Real", "NormedSpace", "SchwartzMap", "Nat", "Real.normedField", "NormedAddCommGroup.toSeminormedAddCommGroup", "NormedAddCommGroup" ]
false
_private.Mathlib.Algebra.ContinuedFractions.TerminatedStable.0.GenContFract.contsAux.match_1.splitter
Mathlib.Algebra.ContinuedFractions.TerminatedStable
[ "Option.some", "GenContFract.Pair", "Option.none", "Unit", "GenContFract.contsAux.match_1", "Option" ]
true
instCompleteLatticeUniformSpace._proof_6
Mathlib.Topology.UniformSpace.Basic
[ "UniformSpace", "Filter.instCompleteLatticeFilter", "uniformity", "PartialOrder.toPreorder", "Preorder.toLE", "CompleteLattice.toConditionallyCompleteLattice", "instMinUniformSpace", "LE.le", "le_inf", "instPartialOrderUniformSpace", "ConditionallyCompleteLattice.toLattice", "Prod", "Filter"...
false
_private.Mathlib.GroupTheory.Perm.Cycle.Type.0.Equiv.Perm.IsThreeCycle.nodup_iff_mem_support._proof_1_364
Mathlib.GroupTheory.Perm.Cycle.Type
[ "Equiv.instEquivLike", "Lean.Grind.nestedProof", "Lean.Grind.Nat.lt_eq", "List.getElem_filter_eq_getElem_getElem_findIdxs._proof_2", "Equiv", "instOfNatNat", "LE.le", "instLENat", "instBEqOfDecidableEq", "List.cons", "List.idxOfNth", "GetElem.getElem", "List.findIdxs", "List", "instHAdd"...
false
Std.HashSet.filter_equiv_self_iff
Std.Data.HashSet.Lemmas
[ "Iff.mpr", "Std.HashMap.getKey", "Std.HashSet.filter", "Std.HashMap.filter", "Std.HashSet.instMembership", "Std.HashSet", "Membership.mem", "Std.HashSet.Equiv.inner", "Std.HashMap", "Std.HashSet.get", "LawfulHashable", "Std.HashSet.Equiv.mk", "Bool.true", "Unit", "Iff", "EquivBEq", "...
true
Subgroup.normalCore_le
Mathlib.Algebra.Group.Subgroup.Basic
[ "Eq.mpr", "MulOne.toOne", "InvOneClass.toOne", "HMul.hMul", "DivInvOneMonoid.toInvOneClass", "inv_one", "Monoid.toMulOneClass", "congrArg", "PartialOrder.toPreorder", "Group", "Preorder.toLE", "Group.toDivisionMonoid", "Membership.mem", "DivisionMonoid.toDivInvOneMonoid", "id", "MulOne...
true
lt_of_mul_lt_mul_of_nonneg_right
Mathlib.Algebra.Order.GroupWithZero.Unbundled.Defs
[ "Preorder.toLT", "MulPosReflectLT", "HMul.hMul", "Preorder.toLE", "Mul", "LE.le", "LT.lt", "Zero.toOfNat0", "lt_of_mul_lt_mul_right", "OfNat.ofNat", "Preorder", "instHMul", "Zero" ]
true
PiTensorProduct.map₂_tprod_tprod
Mathlib.LinearAlgebra.PiTensorProduct
[ "PiTensorProduct.instModule", "PiTensorProduct.lift.tprod", "congrArg", "CommSemiring.toSemiring", "LinearMap.instFunLike", "PiTensorProduct.instSMulCommClass", "PiTensorProduct.piTensorHomMap_tprod_tprod", "PiTensorProduct.instAddCommMonoid", "LinearMap.module", "LinearMap", "MultilinearMap", ...
true
CategoryTheory.subcanonical_typesGrothendieckTopology
Mathlib.CategoryTheory.Sites.Types
[ "CategoryTheory.typesGrothendieckTopology", "CategoryTheory.GrothendieckTopology.Subcanonical", "CategoryTheory.types", "CategoryTheory.GrothendieckTopology.Subcanonical.of_isSheaf_yoneda_obj", "CategoryTheory.Presieve.isSheaf_yoneda'" ]
true
CategoryTheory.Limits.CompleteLattice.finiteLimitCone_isLimit_lift
Mathlib.CategoryTheory.Limits.Lattice
[ "CategoryTheory.Functor", "CategoryTheory.Limits.Cone", "Finset.univ", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "CategoryTheory.Limits.CompleteLattice.finiteLimitCone._proof_5", "PartialOrder.toPreorder", "CategoryTheory.Functor.category", "Preorder.toLE", "CategoryTheory.FinCategor...
true
CauSeq.coe_smul._simp_1
Mathlib.Algebra.Order.CauSeq.Basic
[ "instHSMul", "Ring.toNonAssocRing", "IsScalarTower", "LinearOrder", "SMul", "AddMonoid.toAddZeroClass", "AddGroupWithOne.toAddMonoidWithOne", "IsStrictOrderedRing", "NonUnitalNonAssocSemiring.toDistribSMul", "SemilatticeInf.toPartialOrder", "AddZeroClass.toAddZero", "DistribLattice.toLattice",...
false
StrongDual.extendRCLikeₗ._proof_7
Mathlib.Analysis.RCLike.Extend
[ "Real", "NonUnitalCommRing.toNonUnitalNonAssocCommRing", "instSMulOfMul", "IsSemitopologicalRing.toIsSemitopologicalSemiring", "SeparatelyContinuousMul.to_continuousSMul", "PseudoMetricSpace.toUniformSpace", "instIsTopologicalRingReal", "NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring", "Continuou...
false
CategoryTheory.Limits.Cowedge.ext._auto_1
Mathlib.CategoryTheory.Limits.Shapes.End
[ "Lean.Syntax.node", "Array.push", "Lean.Syntax", "Array.empty", "Lean.Name.mkStr2", "Lean.SourceInfo.none", "Lean.Name.mkStr1", "Lean.Name.mkStr4", "Lean.mkAtom" ]
false
TensorProduct.directSum._proof_11
Mathlib.LinearAlgebra.DirectSum.TensorProduct
[ "LinearMap.id", "TensorProduct.directSum._proof_10", "TensorProduct.directSum._proof_5", "LinearMap.restrictScalars", "instAddCommMonoidDirectSum", "TensorProduct.directSum._proof_8", "instDecidableEqProd", "LinearMap.ext", "DirectSum.instModule", "congrArg", "CommSemiring.toSemiring", "Distri...
false
Fin.succAbove_ne_zero_zero
Mathlib.Data.Fin.SuccPred
[ "Iff.mpr", "Fin.succAbove", "Eq.mpr", "instNeZeroNatHAdd_1", "congrArg", "Zero.ofOfNat0", "Fin.castSucc_zero'", "id", "Fin.instOfNat", "Ne", "instOfNatNat", "instHAdd", "HAdd.hAdd", "Nat.instNeZeroSucc", "Fin.pos_iff_ne_zero", "Nat", "LT.lt", "instLTFin", "Fin.succAbove_of_castSu...
true
CategoryTheory.Limits.biconeIsBilimitOfColimitCoconeOfIsColimit._proof_1
Mathlib.CategoryTheory.Preadditive.Biproducts
[ "CategoryTheory.Functor", "CategoryTheory.Limits.Cocone", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "congrArg", "CategoryTheory.Limits.Bicone.toCocone", "CategoryTheory.Functor.category", "CategoryTheory.Discrete.functor", "CategoryTheory.Limits.IsColimit", "CategoryTheory.Iso.refl",...
false
Std.Iter.Total.ctorIdx
Init.Data.Iterators.Consumers.Total
[ "Nat", "Std.Iter.Total" ]
false
LieModule.maxTrivLinearMapEquivLieModuleHom._proof_10
Mathlib.Algebra.Lie.Abelian
[ "LieSubmodule.instSetLike", "CommRing", "CommSemiring.toSemiring", "DistribMulAction.toDistribSMul", "AddCommGroup.toAddCommMonoid", "LinearMap.addCommGroup", "LieSubmodule.instSMulMemClass", "AddMonoid.toAddZeroClass", "LieSubmodule", "AddCommGroup.toAddGroup", "SMulMemClass", "AddZeroClass.t...
false
SubringClass.toNonAssocRing
Mathlib.Algebra.Ring.Subring.Defs
[ "SubringClass.nonUnitalSubringClass", "SetLike", "NonAssocSemiring.toAddCommMonoidWithOne", "NonAssocRing.mk", "SubringClass.toNonAssocRing._proof_2", "SubringClass.toNonAssocRing._proof_3", "AddGroupWithOne.toAddMonoidWithOne", "Membership.mem", "OneMemClass.one", "Subtype", "SubringClass.toNon...
true
Lean.Grind.ToInt.Zero.casesOn
Init.Grind.ToInt
[ "Lean.Grind.ToInt.Zero", "Lean.Grind.ToInt.toInt", "Int", "Lean.Grind.ToInt.Zero.rec", "instOfNat", "Lean.Grind.ToInt.Zero.mk", "Zero.toOfNat0", "OfNat.ofNat", "Eq", "Lean.Grind.ToInt", "Lean.Grind.IntInterval", "Zero" ]
false
ModelPi
Mathlib.Geometry.Manifold.ChartedSpace
[]
true
CategoryTheory.Square.commSq
Mathlib.CategoryTheory.Square
[ "CategoryTheory.Square.f₂₄", "CategoryTheory.CommSq", "CategoryTheory.Square.X₂", "CategoryTheory.Square", "CategoryTheory.Square.f₁₃", "CategoryTheory.Square.f₁₂", "CategoryTheory.CommSq.mk", "CategoryTheory.Square.fac", "CategoryTheory.Square.X₃", "CategoryTheory.Square.f₃₄", "CategoryTheory.S...
true
LieSubalgebra.coe_sInf
Mathlib.Algebra.Lie.Subalgebra
[ "LieAlgebra.toModule", "Set.ext", "Eq.mpr", "Submodule", "SetLike.mem_coe._simp_1", "CommRing", "LieRing.toAddCommGroup", "LieSubalgebra.instSetLike", "Iff.of_eq", "congrArg", "CommSemiring.toSemiring", "AddCommGroup.toAddCommMonoid", "Set.iInter", "Set.iInter_iInter_eq_right", "setOf", ...
true
_private.Mathlib.Tactic.TermCongr.0.Mathlib.Tactic.TermCongr.CongrResult.mk'.toEqPf
Mathlib.Tactic.TermCongr
[ "Pure.pure", "Functor.discard", "Lean.MessageData", "Lean.MonadError.mk", "Lean.instMonadExceptOfExceptionCoreM", "Lean.Meta.whnf", "Lean.Meta.isProp", "Lean.indentD", "Mathlib.Tactic.TermCongr.mkEqForExpectedType", "String", "Lean.Meta.State", "Lean.instAddErrorMessageContextOfAddMessageConte...
true
Aesop.ForwardHypData.noConfusion
Aesop.RuleTac.Forward.Basic
[ "Lean.instBEqFVarId", "Lean.FVarId", "Std.HashMap", "Lean.instHashableFVarId", "Nat", "Aesop.ForwardHypData.noConfusionType", "Eq.ndrec", "Eq.refl", "Aesop.ForwardHypData.casesOn", "Aesop.ForwardHypData", "Eq" ]
false
_private.Mathlib.CategoryTheory.Limits.Shapes.Preorder.TransfiniteCompositionOfShape.0.CategoryTheory.TransfiniteCompositionOfShape.map._simp_3
Mathlib.CategoryTheory.Limits.Shapes.Preorder.TransfiniteCompositionOfShape
[ "CategoryTheory.Functor", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "CategoryTheory.Functor.map", "CategoryTheory.CategoryStruct.comp", "CategoryTheory.Functor.map_comp", "CategoryTheory.Category.toCategoryStruct", "Eq.symm", "Eq", "CategoryTheory.Functor.obj", "CategoryTheory.Cate...
false
_private.Lean.Compiler.LCNF.Level.0.Lean.Compiler.LCNF.NormLevelParam.normLevel.match_1
Lean.Compiler.LCNF.Level
[ "Lean.Level", "Std.HashMap", "Array", "Lean.Compiler.LCNF.NormLevelParam.State.mk", "Nat", "Lean.Name", "Lean.Compiler.LCNF.NormLevelParam.State.casesOn", "Lean.Name.instBEq", "Lean.Compiler.LCNF.NormLevelParam.State", "Lean.instHashableName" ]
false
_private.Mathlib.CategoryTheory.MorphismProperty.Comma.0.CategoryTheory.MorphismProperty.instFaithfulOverTopOverForget._proof_1
Mathlib.CategoryTheory.MorphismProperty.Comma
[ "CategoryTheory.MorphismProperty", "CategoryTheory.Over", "CategoryTheory.MorphismProperty.instCompleteBooleanAlgebra", "CategoryTheory.MorphismProperty.IsMultiplicative.instTop", "CategoryTheory.MorphismProperty.Comma.instCategory", "CategoryTheory.Functor.id", "CategoryTheory.instCategoryOver", "Cat...
false
Lean.Lsp.SignatureHelpTriggerKind.contentChange.elim
Lean.Data.Lsp.LanguageFeatures
[ "PULift.up", "Lean.Lsp.SignatureHelpTriggerKind.ctorElim", "Lean.Lsp.SignatureHelpTriggerKind", "Lean.Lsp.SignatureHelpTriggerKind.contentChange", "Lean.Lsp.SignatureHelpTriggerKind.ctorIdx", "Nat", "Eq.symm", "Eq" ]
false
Matrix.linearIndependent_rows_of_invertible
Mathlib.LinearAlgebra.Matrix.NonsingularInverse
[ "Iff.mpr", "Pi.Function.module", "NonUnitalCommRing.toNonUnitalNonAssocCommRing", "Semiring.toModule", "Pi.addCommMonoid", "CommRing.toNonUnitalCommRing", "isUnit_of_invertible", "Matrix.instMulOfFintypeOfAddCommMonoid", "Matrix", "AddGroupWithOne.toAddMonoidWithOne", "IsUnit", "NonUnitalNonAs...
true
Lean.Grind.instOfNatInt16SintOfNatNat
Init.GrindInstances.ToInt
[ "instPowNat", "Int.bmod_eq_emod", "Lean.Grind.toInt_int16", "Eq.mpr", "Int.instDiv", "Decidable.casesOn", "instHDiv", "Int16", "Lean.Grind.IntInterval.wrap.eq_1", "Lean.Grind.ToInt.toInt", "congrArg", "Int16.instOfNat", "HSub.hSub", "Decidable", "Lean.Grind.instToIntInt16SintOfNatNat", ...
true
Nat.bit_lt_bit
Mathlib.Data.Nat.Bits
[ "Nat.bit", "Trans.trans", "HMul.hMul", "_private.Mathlib.Data.Nat.Bits.0.Nat.bit_lt_bit._proof_1_4", "id", "Nat.instTransLtLe", "instMulNat", "instOfNatNat", "_private.Mathlib.Data.Nat.Bits.0.Nat.bit_lt_bit._proof_1_2", "LE.le", "instLENat", "Bool.true", "Bool.casesOn", "Nat", "LT.lt", ...
true
CategoryTheory.SimplicialThickening.Path.rec
Mathlib.AlgebraicTopology.SimplicialNerve
[ "CategoryTheory.SimplicialThickening.Path.mk", "LinearOrder", "PartialOrder.toPreorder", "Preorder.toLE", "Membership.mem", "SemilatticeInf.toPartialOrder", "DistribLattice.toLattice", "LE.le", "CategoryTheory.SimplicialThickening.Path", "Set.instMembership", "instDistribLatticeOfLinearOrder", ...
false
Int32.reduceOfInt._regBuiltin.Int32.reduceOfInt.declare_1._@.Lean.Meta.Tactic.Simp.BuiltinSimprocs.SInt.2667021113._hygCtx._hyg.376
Lean.Meta.Tactic.Simp.BuiltinSimprocs.SInt
[ "IO", "Bool.true", "Unit", "Int32.reduceOfInt", "Sum.inr", "Lean.Meta.Simp.DSimproc", "Lean.Name.mkStr2", "Lean.Meta.Simp.addSimprocBuiltinAttr", "Lean.Meta.Simp.Simproc" ]
false
Lean.Compiler.LCNF.FixedParams.Context.recOn
Lean.Compiler.LCNF.FixedParams
[ "Lean.Compiler.LCNF.FixedParams.Context", "Lean.FVarIdMap", "Lean.Compiler.LCNF.FixedParams.AbsValue", "Lean.Compiler.LCNF.Decl", "Lean.Compiler.LCNF.Purity.pure", "Array", "Lean.Compiler.LCNF.FixedParams.Context.rec", "Lean.Compiler.LCNF.FixedParams.Context.mk" ]
false
CategoryTheory.Functor.preservesLimit_cospan_of_mem_presieve
Mathlib.CategoryTheory.Sites.Precoverage
[ "CategoryTheory.Functor", "CategoryTheory.Limits.PreservesLimit", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "CategoryTheory.Presieve", "CategoryTheory.Limits.WidePullbackShape.category", "CategoryTheory.Limits.WalkingPair", "CategoryTheory.Functor.PreservesPairwisePullbacks", "Category...
true
MonomialOrder.lex._proof_3
Mathlib.Data.Finsupp.MonomialOrder
[ "Nat.instMulZeroClass", "Equiv.instEquivLike", "Lex", "AddMonoid.toAddZeroClass", "Nat.instAddMonoid", "toLex_add", "Equiv", "instHAdd", "Finsupp.instAdd", "HAdd.hAdd", "Nat", "instAddLex", "Eq", "DFunLike.coe", "Finsupp", "MulZeroClass.toZero", "EquivLike.toFunLike", "toLex" ]
false
CategoryTheory.Arrow.isoOfNatIso._proof_2
Mathlib.CategoryTheory.Comma.Arrow
[ "CategoryTheory.Functor", "CategoryTheory.Comma.right", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "congrArg", "CategoryTheory.Functor.category", "CategoryTheory.Comma.left", "CategoryTheory.Functor.id", "CategoryTheory.Comma.hom", "CategoryTheory.Iso", "CategoryTheory.instCategoryA...
false
ValuationSubring.mem_ofSubring._simp_1
Mathlib.RingTheory.Valuation.ValuationSubring
[ "DivisionCommMonoid.toDivisionMonoid", "Subring.instSetLike", "DivInvOneMonoid.toInvOneClass", "Membership.mem", "DivisionMonoid.toDivInvOneMonoid", "CommRing.toNonAssocCommRing", "Field.toSemifield", "Field.toCommRing", "Inv.inv", "Subring", "Semifield.toCommGroupWithZero", "ValuationSubring....
false
TensorProduct.AlgebraTensorModule.lTensor_comp
Mathlib.LinearAlgebra.TensorProduct.Tower
[ "TensorProduct.AlgebraTensorModule.ext", "IsScalarTower.to_smulCommClass'", "CommSemiring.toSemiring", "DistribMulAction.toDistribSMul", "IsScalarTower", "TensorProduct.addCommMonoid", "AddMonoid.toAddZeroClass", "LinearMap.instFunLike", "Algebra", "Algebra.toSMul", "AddZeroClass.toAddZero", "...
true
DMatrix.instUnique
Mathlib.Data.Matrix.DMatrix
[ "DMatrix", "Unique.mk", "Unique", "DMatrix.instUnique._proof_1", "DMatrix.instInhabited", "Unique.instInhabited" ]
true
Parser.Attr.qify_simps
Mathlib.Tactic.Attr.Register
[ "Lean.ParserDescr.nonReservedSymbol", "Lean.Name.mkStr3", "instOfNatNat", "Lean.ParserDescr.nodeWithAntiquot", "Lean.ParserDescr.binary", "Lean.ParserDescr", "Lean.ParserDescr.unary", "Lean.Parser.Tactic.simpPre", "Lean.ParserDescr.node", "Nat", "Lean.Parser.Tactic.simpPost", "Lean.ParserDescr...
true
_private.Std.Data.DTreeMap.Internal.Lemmas.0.Std.DTreeMap.Internal.Impl.Equiv.forM_eq._simp_1_2
Std.Data.DTreeMap.Internal.Lemmas
[ "Ord", "beqOfOrd", "Ordering", "Std.DTreeMap.Internal.Impl.compare_ne_iff_beq_eq_false", "Ordering.eq", "Ne", "Ord.compare", "BEq.beq", "propext", "Bool", "Bool.false", "Eq" ]
false
SimplicialObject.Splitting.cofan_inj_id
Mathlib.AlgebraicTopology.SimplicialObject.Split
[ "Opposite", "CategoryTheory.Epi", "SimplicialObject.Splitting.IndexSet.e", "CategoryTheory.CategoryStruct.toQuiver", "SimplicialObject.Splitting.ι", "Quiver.Hom", "congrArg", "Quiver.Hom.op", "SimplicialObject.Splitting.IndexSet.id._proof_1", "CategoryTheory.Discrete.functor", "CategoryTheory.Ca...
true
StrictMonoOn.union
Mathlib.Order.Monotone.Union
[ "Preorder.toLT", "lt_irrefl", "lowerBounds", "LinearOrder", "False.elim", "PartialOrder.toPreorder", "Preorder.toLE", "Membership.mem", "SemilatticeInf.toPartialOrder", "Set.instUnion", "DistribLattice.toLattice", "LT.lt.le", "upperBounds", "LE.le", "eq_or_lt_of_le", "Or.casesOn", "I...
true
Polynomial.isMonicOfDegree_X_add_one
Mathlib.Algebra.Polynomial.Degree.IsMonicOfDegree
[ "Nontrivial", "Eq.mpr", "Polynomial.C", "Nat.instMulZeroClass", "Nat.instOne", "congrArg", "Nat.instZeroLEOneClass", "RingHom", "Polynomial.natDegree_C", "id", "instOfNatNat", "Polynomial.instAdd", "Polynomial", "zero_lt_one", "instHAdd", "RingHom.instFunLike", "HAdd.hAdd", "Nat.in...
true
Lean.Meta.TransparencyMode.noConfusion
Init.MetaTypes
[ "Lean.Meta.TransparencyMode.ctorIdx", "Lean.Meta.TransparencyMode.noConfusionType", "noConfusionEnum", "Lean.Meta.TransparencyMode", "Nat", "instDecidableEqNat", "Eq" ]
false
FinBoolAlg.noConfusion
Mathlib.Order.Category.FinBoolAlg
[ "FinBoolAlg", "BoolAlg.carrier", "HEq.refl", "BoolAlg", "FinBoolAlg.casesOn", "Fintype", "Eq.ndrec", "Eq.refl", "HEq", "Eq", "FinBoolAlg.noConfusionType" ]
false
CategoryTheory.ShortComplex.π_moduleCatCyclesIso_hom_assoc_apply
Mathlib.Algebra.Homology.ShortComplex.ModuleCat
[ "Submodule", "CategoryTheory.ShortComplex.homologyπ", "CategoryTheory.ShortComplex.moduleCatMkOfKerLERange._proof_1", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "ModuleCat", "Submodule.Quotient.addCommGroup", "congrArg", "CategoryTheory.ConcreteCategory.hom", "AddCommGroup.toAddCommMo...
true
Plausible.InjectiveFunction.shrink._proof_5
Mathlib.Testing.Plausible.Functions
[ "Prod.toSigma", "congrArg", "List.map", "Function.comp", "List.map_map", "List.Perm", "Sigma.fst", "List.zip", "LE.le", "instLENat", "List.map_fst_zip", "List", "Nat", "congr", "True", "eq_true", "of_eq_true", "List.map_snd_zip", "Prod", "Sigma.snd", "List.length", "Sigma",...
false
CategoryTheory.Comonad.forget_creates_limits_of_comonad_preserves
Mathlib.CategoryTheory.Monad.Limits
[ "CategoryTheory.Comonad", "CategoryTheory.hasLimit_of_created", "CategoryTheory.Functor", "CategoryTheory.Comonad.forget", "CategoryTheory.Limits.PreservesLimitsOfShape.preservesLimit", "CategoryTheory.Functor.comp", "CategoryTheory.Limits.HasLimit", "CategoryTheory.Comonad.forgetCreatesLimit", "Cat...
true
List.SortedLT.map_toDual
Mathlib.Data.List.Sort
[ "OrderDual.toDual", "List.SortedLT", "Equiv.instEquivLike", "List.map", "Equiv", "List.SortedGT", "List", "List.sortedLT_map_toDual", "Iff.mp", "OrderDual", "OrderDual.instPreorder", "DFunLike.coe", "Preorder", "EquivLike.toFunLike" ]
true
Nat.findGreatest_eq_zero_iff
Mathlib.Data.Nat.Find
[ "False", "_private.Mathlib.Data.Nat.Find.0.Nat.findGreatest_eq_zero_iff._simp_1_1", "congrArg", "not_true_eq_false", "Ne", "instOfNatNat", "Nat.findGreatest", "LE.le", "instLENat", "false_implies", "iff_self", "And", "Iff", "implies_congr", "DecidablePred", "Nat", "congr", "LT.lt",...
true
CentroidHom.centerToCentroidCenter
Mathlib.Algebra.Ring.CentroidHom
[ "AddMonoid.End.mulLeft", "Subsemiring.instSetLike", "NonUnitalSubsemiring.center", "AddMonoid.toAddZeroClass", "Subsemiring.toNonAssocSemiring", "CentroidHom.centerToCentroidCenter._proof_5", "Membership.mem", "AddZeroClass.toAddZero", "Subtype", "NonUnitalSemiring.toNonUnitalNonAssocSemiring", ...
true
LieEquiv.ofSubalgebras_apply
Mathlib.Algebra.Lie.Subalgebra
[ "LieSubalgebra.lieAlgebra", "CommRing", "LieSubalgebra.map", "LieEquiv.toLieHom", "LieSubalgebra.instSetLike", "LieEquiv", "Membership.mem", "Subtype", "LieSubalgebra.lieRing", "LieEquiv.ofSubalgebras", "LieEquiv.instEquivLike", "LieRing", "LieSubalgebra", "LieAlgebra", "Subtype.val", ...
true
_private.Std.Data.DHashMap.Internal.Raw.0.Std.DHashMap.Raw.diff.eq_1
Std.Data.DHashMap.Internal.Raw
[ "Std.DHashMap.Raw", "instOfNatNat", "dite", "Subtype.mk", "Std.DHashMap.Raw.diff", "Nat", "Std.DHashMap.Raw.buckets", "LT.lt", "Nat.decLt", "Eq.refl", "Std.DHashMap.Internal.Raw₀.diff", "Std.DHashMap.Internal.AssocList", "Hashable", "instLTNat", "OfNat.ofNat", "Subtype.val", "BEq", ...
true
CategoryTheory.isFinitelyPresentable_iff_preservesFilteredColimits
Mathlib.CategoryTheory.Presentable.Finite
[ "CategoryTheory.Limits.PreservesFilteredColimits", "CategoryTheory.Functor", "Opposite", "CategoryTheory.coyoneda", "CategoryTheory.Functor.category", "CategoryTheory.IsFinitelyPresentable", "Iff", "Opposite.op", "CategoryTheory.types", "CategoryTheory.Category.opposite", "CategoryTheory.Functor...
true
isPreirreducible_iff_isClosed_union_isClosed
Mathlib.Topology.Irreducible
[ "IsPreirreducible", "Eq.mpr", "Function.Surjective.forall", "congrArg", "Compl.compl", "and_imp", "Iff.rfl", "_private.Mathlib.Topology.Irreducible.0.isPreirreducible_iff_isClosed_union_isClosed._simp_1_3", "BooleanAlgebra.toCompl", "Set.instUnion", "id", "HasSubset.Subset", "Set.instInter",...
true
IntermediateField.LinearDisjoint.symm
Mathlib.FieldTheory.LinearDisjoint
[ "Iff.mpr", "Subalgebra.LinearDisjoint.symm", "IntermediateField.isScalarTower_mid'", "NonUnitalCommRing.toNonUnitalNonAssocCommRing", "CommRing.toNonUnitalCommRing", "CommSemiring.toSemiring", "IntermediateField", "IntermediateField.toField", "Algebra", "IntermediateField.linearDisjoint_iff'", "...
true
instModuleTensorProductMop._proof_1
Mathlib.Algebra.Azumaya.Defs
[ "Algebra.to_smulCommClass", "IsScalarTower.opposite_mid", "MulZeroClass.toMul", "Mul.toSMulMulOpposite", "CommSemiring.toSemiring", "DistribMulAction.toDistribSMul", "IsScalarTower", "AddMonoid.toAddZeroClass", "MulOpposite", "Algebra", "AddZeroClass.toAddZero", "Algebra.toModule", "DistribS...
false
CategoryTheory.Limits.ChosenPullback₃.w₁_assoc
Mathlib.CategoryTheory.Limits.Shapes.Pullback.ChosenPullback
[ "CategoryTheory.Category.assoc", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "congrArg", "Eq.mp", "id", "Mathlib.Tactic.Reassoc.eq_whisker'", "CategoryTheory.Limits.ChosenPullback.p₂", "CategoryTheory.Limits.ChosenPullback₃", "CategoryTheory.Limits.ChosenPullback.p₁", "CategoryTheory...
true
List.find?_append
Init.Data.List.Impl
[ "Eq.mpr", "congrArg", "List.find?", "List.filter.match_1", "Option.some", "id", "List.rec", "Option.or", "List.cons", "Bool.true", "funext", "instHAppendOfAppend", "List", "Unit", "eq_self", "Bool", "of_eq_true", "Eq.ndrec", "Eq.refl", "congrFun'", "List.instAppend", "Eq.sy...
true
StandardSubspace.mk._flat_ctor
Mathlib.Analysis.InnerProductSpace.StandardSubspace
[ "InnerProductSpace.toNormedSpace", "Real", "NormedSpace.toIsBoundedSMul", "UniformContinuousConstSMul.to_continuousConstSMul", "ClosedSubmodule.mulI", "Real.instZero", "NormedAddCommGroup.toMetricSpace", "DistribMulAction.toDistribSMul", "ClosedSubmodule.instOrderTop", "OrderBot.toBot", "NormedS...
false
IntermediateField.instAlgebraSubtypeMemAdjoinSingletonSetCoeRingHomAlgebraMap._proof_1
Mathlib.FieldTheory.IntermediateField.Adjoin.Defs
[ "IntermediateField", "SubsemiringClass", "Algebra", "Field.toDivisionRing", "IntermediateField.instSubfieldClass", "CommRing.toNonAssocCommRing", "Field.toSemifield", "Field.toCommRing", "Semifield.toDivisionSemiring", "DivisionSemiring.toSemiring", "IntermediateField.instSetLike", "Semifield....
false
CategoryTheory.Bicategory.Equivalence.mk.inj
Mathlib.CategoryTheory.Bicategory.Adjunction.Basic
[ "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "CategoryTheory.Bicategory.leftZigzagIso", "CategoryTheory.Bicategory.Equivalence.left_triangle._autoParam", "CategoryTheory.Bicategory.rightUnitor", "CategoryTheory.CategoryStruct.id", "CategoryTheory.Bicategory.Equivalence.mk.noConfusion", "Cat...
true
Ideal.IsTwoSided.mul_one
Mathlib.RingTheory.Ideal.Operations
[ "Submodule", "Ideal.mul_le_right", "MulOne.toOne", "Ideal.one_eq_top", "Semiring.toModule", "HMul.hMul", "Membership.mem", "LE.le.antisymm", "Eq.rec", "MulOne.toMul", "Ideal.IsTwoSided", "Submodule.instPartialOrder", "NonAssocSemiring.toMulZeroOneClass", "Submodule.instTop", "Ideal", "...
true
_private.Mathlib.RingTheory.AlgebraicIndependent.TranscendenceBasis.0.AlgebraicIndependent.matroid_spanning_iff_of_subsingleton._simp_1_2
Mathlib.RingTheory.AlgebraicIndependent.TranscendenceBasis
[ "Matroid.E", "Matroid.spanning_iff", "HasSubset.Subset", "And", "Matroid.Spanning", "propext", "Matroid.closure", "Eq", "Matroid", "Set.instHasSubset", "Set" ]
false
SheafOfModules.hasLimitsOfSize
Mathlib.Algebra.Category.ModuleCat.Sheaf.Limits
[ "CategoryTheory.Limits.HasLimitsOfShape", "inferInstance", "UnivLE.small", "CategoryTheory.Limits.HasLimitsOfSize", "CategoryTheory.Limits.HasLimitsOfSize.mk", "RingCat", "SheafOfModules.hasLimitsOfShape", "UnivLE.self", "CategoryTheory.GrothendieckTopology", "SheafOfModules", "RingCat.instCateg...
true
MeasureTheory.Lp.constₗ
Mathlib.MeasureTheory.Function.LpSpace.Indicator
[ "MeasureTheory.Measure", "NormedRing.toRing", "Ring.toNonAssocRing", "DistribMulAction.toDistribSMul", "AddCommGroup.toAddCommMonoid", "MeasureTheory.Lp.instModule", "AddMonoid.toAddZeroClass", "MeasureTheory.Lp.const", "PseudoMetricSpace.toUniformSpace", "NonUnitalNonAssocSemiring.toMulZeroClass"...
true
LinearPMap
Mathlib.LinearAlgebra.LinearPMap
[ "AddCommGroup.toAddCommMonoid", "AddCommGroup", "Module", "Ring.toSemiring", "LinearPMap.mk", "Ring" ]
true
_private.Lean.Meta.Tactic.Grind.EMatchAction.0.Lean.Meta.Grind.Action.CollectState.collectedThms._default
Lean.Meta.Tactic.Grind.EMatchAction
[ "instHashableProd", "Lean.Meta.Grind.instHashableEMatchTheoremKind", "Std.HashSet", "id", "Lean.Meta.Grind.instBEqOrigin", "Lean.Meta.Grind.EMatchTheoremKind", "instBEqProd", "Lean.Meta.Grind.Origin", "Lean.Meta.Grind.instHashableOrigin", "EmptyCollection.emptyCollection", "Prod", "Std.HashSet...
false
ProbabilityTheory.«_aux_Mathlib_Probability_ConditionalProbability___macroRules_ProbabilityTheory_term__[|_]_1»
Mathlib.Probability.ConditionalProbability
[ "Pure.pure", "Lean.TSyntax", "Lean.MonadRef.mkInfoFromRefPos", "Lean.Syntax.ident", "instMonadExceptOfMonadExceptOf", "String", "Lean.SourceInfo", "MonadExcept.throw", "Lean.Syntax.isOfKind", "EStateM.instMonad", "Lean.Macro.Exception", "Lean.TSyntax.mk", "Lean.Syntax", "Lean.Name.mkStr3",...
false
Associated.of_pow_associated_of_prime'
Mathlib.Algebra.GroupWithZero.Associated
[ "Associated.of_pow_associated_of_prime", "MulZeroClass.toMul", "Prime", "instOfNatNat", "CommMonoidWithZero.toMonoidWithZero", "IsCancelMulZero", "Monoid.toPow", "Associated.symm", "Associated", "MonoidWithZero.toMulZeroOneClass", "HPow.hPow", "CommMonoidWithZero", "Nat", "LT.lt", "instH...
true
MeasureTheory.Filtration.natural
Mathlib.Probability.Process.Filtration
[ "TopologicalSpace.MetrizableSpace", "MeasurableSpace.comap", "MeasureTheory.Filtration.mk", "iSup", "Preorder.toLE", "BorelSpace", "CompleteLattice.toConditionallyCompleteLattice", "MeasureTheory.Filtration", "LE.le", "MeasurableSpace", "TopologicalSpace", "MeasureTheory.Filtration.natural._pr...
true
CategoryTheory.Limits.Cocones.postcomposeId
Mathlib.CategoryTheory.Limits.Cones
[ "CategoryTheory.Functor", "CategoryTheory.Limits.Cocone", "CategoryTheory.Limits.Cocone.precompose", "CategoryTheory.Functor.category", "CategoryTheory.Limits.Cocone.precomposeId", "CategoryTheory.Functor.id", "CategoryTheory.CategoryStruct.id", "CategoryTheory.Iso", "CategoryTheory.Limits.Cocone.ca...
true
List.toChunks.go
Batteries.Data.List.Basic
[ "List.brecOn", "Array.mkEmpty", "Array.push", "List.splitOnPTR.go.match_1", "instDecidableEqBool", "instBEqOfDecidableEq", "Array.toList", "List.cons", "Array", "Bool.true", "List", "BEq.beq", "Nat", "Bool", "List.below", "instDecidableEqNat", "Eq", "Array.size", "List.nil", "i...
true
LightCondensed.instMonoidalLightCondSetLightCondModFree._aux_10
Mathlib.Condensed.Light.Monoidal
[ "LightCondensed._proof_1", "CategoryTheory.Functor", "CommRing", "LightCondensed.instMonoidalCategorySheafLightProfiniteCoherentTopologyModuleCat", "Opposite", "LightCondensed.instMonoidalFunctorOppositeLightProfiniteModuleCatSheafCoherentTopologyPresheafToSheaf", "CategoryTheory.CategoryStruct.toQuiver...
false
Path.extend
Mathlib.Topology.Path
[ "Real", "Real.instZero", "ContinuousMap.mk", "ContinuousMap", "PseudoMetricSpace.toUniformSpace", "Set.Elem", "Path.extend._proof_1", "Real.instOne", "TopologicalSpace", "Path.extend._proof_2", "Path.instFunLike", "Path", "One.toOfNat1", "Zero.toOfNat0", "Real.pseudoMetricSpace", "Set....
true
Lean.Lsp.PrepareRenameParams._sizeOf_1
Lean.Data.Lsp.LanguageFeatures
[ "Lean.Lsp.PrepareRenameParams", "instOfNatNat", "Lean.Lsp.PrepareRenameParams.rec", "instHAdd", "HAdd.hAdd", "Nat", "SizeOf.sizeOf", "Lean.Lsp.TextDocumentPositionParams", "instAddNat", "OfNat.ofNat", "Lean.Lsp.TextDocumentPositionParams._sizeOf_inst" ]
false
_private.Mathlib.Algebra.SkewMonoidAlgebra.Basic.0.SkewMonoidAlgebra.coeff.match_1.eq_1
Mathlib.Algebra.SkewMonoidAlgebra.Basic
[ "AddMonoid.toAddZeroClass", "AddZeroClass.toAddZero", "SkewMonoidAlgebra.ofFinsupp", "AddZero.toZero", "SkewMonoidAlgebra.coeff.match_1", "AddMonoid", "SkewMonoidAlgebra", "Eq.refl", "Eq", "Finsupp" ]
true
CategoryTheory.Limits.kernelFactorThruImage.eq_1
Mathlib.CategoryTheory.Limits.Shapes.Kernels
[ "CategoryTheory.Limits.factorThruImage", "CategoryTheory.Limits.HasZeroMorphisms", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "CategoryTheory.Limits.image.ι", "CategoryTheory.Limits.kernel", "CategoryTheory.Limits.kernelFactorThruImage._proof_2", "CategoryTheory.Iso", "CategoryTheory.Li...
true
Std.Tactic.BVDecide.BVExpr.Cache.insert._proof_4
Std.Tactic.BVDecide.Bitblast.BVExpr.Circuit.Impl.Expr
[ "Iff.mpr", "Eq.mpr", "Std.Sat.AIG.Decl", "Std.Sat.AIG.Fanin.gate", "Decidable.casesOn", "_private.Std.Tactic.BVDecide.Bitblast.BVExpr.Circuit.Impl.Expr.0.Std.Tactic.BVDecide.BVExpr.Cache.insert._simp_3", "Std.Tactic.BVDecide.BVExpr.Cache.Key", "instLawfulBEq", "Vector", "instLawfulHashableOfLawful...
false
_private.Mathlib.RingTheory.ClassGroup.0.ClassGroup.mk_eq_one_of_coe_ideal._proof_1_1
Mathlib.RingTheory.ClassGroup
[ "Lean.RArray.leaf", "False", "CommRing", "Lean.Grind.CommRing.Mon.mult", "NonUnitalCommRing.toNonUnitalNonAssocCommRing", "Lean.Grind.not_not", "Lean.Grind.CommRing.Poly", "Lean.Grind.CommRing.Expr", "HMul.hMul", "Lean.Grind.CommRing.Expr.mul", "CommRing.toNonUnitalCommRing", "Lean.Grind.CommR...
false
_private.Mathlib.Topology.Connected.Basic.0.IsPreconnected.iUnion_of_reflTransGen._simp_1_1
Mathlib.Topology.Connected.Basic
[ "Set.univ", "Membership.mem", "True", "Set.mem_univ", "eq_true", "Eq", "Set.instMembership", "Set" ]
false
Equiv.optionCongr_apply
Mathlib.Logic.Equiv.Option
[ "Equiv.instEquivLike", "Equiv", "Option.map", "Eq.refl", "Eq", "DFunLike.coe", "Equiv.optionCongr", "EquivLike.toFunLike", "Option" ]
true
Turing.ToPartrec.stepRet.eq_def
Mathlib.Computability.TuringMachine.Config
[ "Eq.mpr", "congrArg", "Turing.ToPartrec.Cont.halt", "Turing.ToPartrec.Cont.brecOn", "instInhabitedNat", "Turing.ToPartrec.Cont.below", "Turing.ToPartrec.Cont.comp", "Turing.ToPartrec.Cont.fix", "id", "Turing.ToPartrec.Cont", "instOfNatNat", "Turing.ToPartrec.Cont.brecOn.eq", "_private.Mathli...
true
Polynomial.le_gaussNorm
Mathlib.RingTheory.Polynomial.GaussNorm
[ "_private.Mathlib.RingTheory.Polynomial.GaussNorm.0.Polynomial.aux_bdd", "Eq.mpr", "Real.instLE", "Real", "Semiring.toModule", "HMul.hMul", "Real.instZero", "congrArg", "setOf", "LinearMap.instFunLike", "NonnegHomClass", "NonUnitalNonAssocSemiring.toMulZeroClass", "Exists", "ZeroHomClass",...
true
Function.Injective.mulOneClass._proof_2
Mathlib.Algebra.Group.InjSurj
[ "Eq.mpr", "MulOne.toOne", "One", "HMul.hMul", "congrArg", "Mul", "id", "MulOne.toMul", "MulOneClass.toMulOne", "One.toOfNat1", "Eq.refl", "mul_one", "MulOneClass", "OfNat.ofNat", "Eq", "instHMul" ]
false
WeierstrassCurve.toCharTwoNF_spec
Mathlib.AlgebraicGeometry.EllipticCurve.NormalForms
[ "Eq.mpr", "WeierstrassCurve.isCharTwoNF_of_isCharTwoJEqZeroNF", "WeierstrassCurve.toCharTwoNF.eq_1", "instHSMul", "NonUnitalCommRing.toNonUnitalNonAssocCommRing", "CommRing.toNonUnitalCommRing", "congrArg", "AddGroupWithOne.toAddMonoidWithOne", "NonUnitalNonAssocSemiring.toMulZeroClass", "Weierstr...
true
_private.Init.Data.String.Decode.0.ByteArray.utf8DecodeChar?.toBitVec_eq_of_isInvalidContinuationByte_eq_false
Init.Data.String.Decode
[ "BitVec.setWidth", "BitVec.extractLsb'", "BitVec.instHAppendHAddNat", "BitVec", "_private.Init.Data.String.Decode.0.ByteArray.utf8DecodeChar?.helper₂", "instOfNatNat", "BitVec.ofNat", "_private.Init.Data.String.Decode.0.ByteArray.utf8DecodeChar?.isInvalidContinuationByte_eq_false_iff_toBitVec", "UIn...
true