name
stringlengths
2
347
module
stringlengths
6
90
deps
listlengths
0
692
allowCompletion
bool
2 classes
Lean.Meta.LazyDiscrTree.PartialMatch.noConfusion
Lean.Meta.LazyDiscrTree
[ "Lean.Meta.LazyDiscrTree.PartialMatch.noConfusionType", "Lean.Expr", "Lean.Meta.LazyDiscrTree.PartialMatch.casesOn", "Array", "Lean.Meta.LazyDiscrTree.PartialMatch", "Lean.Meta.LazyDiscrTree.TrieIndex", "Nat", "Eq.ndrec", "Eq.refl", "Eq" ]
false
ContinuousMap.HomotopyEquiv.mk.sizeOf_spec
Mathlib.Topology.Homotopy.Equiv
[ "ContinuousMap._sizeOf_inst", "ContinuousMap.HomotopyEquiv.mk", "ContinuousMap", "instSizeOfDefault", "ContinuousMap.comp", "instOfNatNat", "TopologicalSpace", "ContinuousMap.id", "instHAdd", "HAdd.hAdd", "Nat", "ContinuousMap.HomotopyEquiv._sizeOf_inst", "SizeOf.sizeOf", "ContinuousMap.Ho...
true
LinearMap.ofIsCompl_eq
Mathlib.LinearAlgebra.Projection
[ "Submodule", "LinearMap.coprod", "LinearEquiv.symm", "LinearMap.comp.congr_simp", "Submodule.prodEquivOfIsCompl", "LinearMap.ext", "congrArg", "AddCommGroup.toAddCommMonoid", "Submodule.addCommMonoid", "Submodule.completeLattice", "AddMonoid.toAddZeroClass", "LinearMap.instFunLike", "AddComm...
true
_private.Mathlib.Topology.Separation.Profinite.0.exists_clopen_partition_of_clopen_cover._proof_1_7
Mathlib.Topology.Separation.Profinite
[ "False", "eq_false", "Classical.byContradiction", "Option.casesOn", "Eq.mp", "id", "TopologicalSpace", "SDiff.sdiff", "Option.none", "True", "eq_true", "IsClopen", "Eq.symm", "Set.iUnion", "Not", "Eq.trans", "Set.instSDiff", "True.intro", "Option", "Set" ]
false
CategoryTheory.Idempotents.KaroubiHomologicalComplexEquivalence.unitIso._proof_7
Mathlib.CategoryTheory.Idempotents.HomologicalComplex
[ "HomologicalComplex.hom_ext", "CategoryTheory.Idempotents.Karoubi.Hom.f", "CategoryTheory.Functor", "HomologicalComplex.instCategory", "CategoryTheory.Idempotents.Karoubi", "HomologicalComplex.Hom.f", "CategoryTheory.CategoryStruct.toQuiver", "CategoryTheory.NatTrans.ext'", "Quiver.Hom", "congrArg...
false
Lean.JsonRpc.Message._sizeOf_1
Lean.Data.JsonRpc
[ "Lean.Json.Structured._sizeOf_inst", "Lean.Json", "Lean.JsonRpc.ErrorCode", "Option._sizeOf_inst", "String", "Lean.JsonRpc.Message.rec", "instOfNatNat", "Lean.Json._sizeOf_inst", "Lean.Json.Structured", "Lean.JsonRpc.Message", "instHAdd", "HAdd.hAdd", "Nat", "Lean.JsonRpc.ErrorCode._sizeOf...
false
Cardinal.instMul
Mathlib.SetTheory.Cardinal.Defs
[ "Mul.mk", "Cardinal", "Mul", "Cardinal.map₂", "Prod", "Equiv.prodCongr" ]
true
RelHom.toOrderHom
Mathlib.Order.Hom.Basic
[ "Preorder.toLT", "RelHom.instFunLike", "RelHom", "PartialOrder.toPreorder", "PartialOrder", "LT.lt", "OrderHom.mk", "RelHom.toOrderHom._proof_1", "DFunLike.coe", "OrderHom", "Preorder" ]
true
Derivative.serreDerivative_smul
Mathlib.NumberTheory.ModularForms.Derivative
[ "Mathlib.Tactic.Ring.Common.mul_pf_left", "Mathlib.Tactic.Ring.Common.neg_zero", "Eq.mpr", "NegZeroClass.toNeg", "NormedCommRing.toSeminormedCommRing", "NonAssocSemiring.toAddCommMonoidWithOne", "Mathlib.Tactic.Ring.Common.neg_mul", "NonUnitalCommCStarAlgebra.toNonUnitalCStarAlgebra", "Mathlib.Tacti...
true
CategoryTheory.OplaxFunctor.mapComp'_comp_mapComp'_whiskerRight_assoc
Mathlib.CategoryTheory.Bicategory.Strict.Pseudofunctor
[ "CategoryTheory.Category.assoc", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "congrArg", "CategoryTheory.Pseudofunctor.mapComp'₀₂₃_hom_comp_mapComp'_hom_whiskerRight._proof_4", "CategoryTheory.OplaxFunctor.toPrelaxFunctor", "Eq.mp", "CategoryTheory.Bicategory.whiskerRight", "id", "Cate...
true
Ideal.image_subset_nonunits_valuationSubring
Mathlib.RingTheory.Valuation.LocalSubring
[ "LocalSubring.isLocalRing", "ValuationSubring.image_maximalIdeal", "NonUnitalSubring.instSetLike", "Eq.mpr", "LocalSubring.instAlgebraSubtypeMemSubringToSubringOfPrime", "Submodule", "RingHom.instRingHomClass", "NonUnitalCommRing.toNonUnitalNonAssocCommRing", "Semiring.toModule", "Subring.inclusio...
true
Subgroup.strictPeriods_le_periods
Mathlib.NumberTheory.ModularForms.Cusps
[ "Equiv.instEquivLike", "AddChar.toAddMonoidHom", "AddGroupWithOne.toAddGroup", "Matrix", "Additive", "AddMonoid.toAddZeroClass", "PartialOrder.toPreorder", "instDecidableEqFin", "AddSubgroup.instPartialOrder", "AddGroupWithOne.toAddMonoidWithOne", "Preorder.toLE", "Additive.toMul", "Membersh...
true
_private.Lean.Elab.PreDefinition.Structural.Main.0.Lean.Elab.Structural.structuralRecursion.match_3
Lean.Elab.PreDefinition.Structural.Main
[ "Unit.unit", "Subarray", "Option.casesOn", "Option.some", "Prod.mk", "Option.none", "Unit", "Nat", "Prod", "Prod.casesOn", "Option" ]
false
Polynomial.trailingDegree_lt_wf
Mathlib.Algebra.Polynomial.Degree.TrailingDegree
[ "Polynomial", "instWellFoundedLTENat", "wellFounded_lt", "ENat", "LT.lt", "Polynomial.trailingDegree", "Semiring", "instLTENat", "InvImage.wf", "WellFounded" ]
true
MeasureTheory.OuterMeasure.isCaratheodory_iUnion_of_disjoint
Mathlib.MeasureTheory.OuterMeasure.Caratheodory
[ "Iff.mpr", "Eq.mpr", "ENNReal.instAdd", "le_refl", "Set.diff_subset_diff", "Set.iUnion_mono''", "ChainCompletePartialOrder.instOfCompleteLattice", "Set.iUnion_subset", "Function.onFun", "ENNReal.instAddCommMonoid", "CompleteBooleanAlgebra.toCompleteDistribLattice", "congrArg", "iSup", "HEq...
true
QuadraticMap.ofPolar._proof_3
Mathlib.LinearAlgebra.QuadraticForm.Basic
[ "CommRing", "CommSemiring.toSemiring", "AddCommGroup.toAddCommMonoid", "AddCommGroup", "CommRing.toCommSemiring", "CommMonoid.toMonoid", "CommSemiring.toCommMonoid", "Monoid.toSemigroup", "Module.toDistribMulAction", "SemigroupAction.toSMul", "AddCommMonoid.toAddMonoid", "Module", "MulAction...
false
RootPairing.chainBotIdx.eq_1
Mathlib.LinearAlgebra.RootSystem.Chain
[ "IsDomain", "CommRing", "instHSMul", "CommSemiring.toSemiring", "AddCommGroup.toAddCommMonoid", "Finite", "AddGroupWithOne.toAddMonoidWithOne", "RootPairing.IsCrystallographic", "HSub.hSub", "AddMonoid.toNSMul", "Classical.propDecidable", "AddCommGroup.toAddGroup", "RootPairing.chainBotIdx._...
true
CategoryTheory.ShortComplex.RightHomologyData.opcyclesIso_inv_comp_descOpcycles_assoc
Mathlib.Algebra.Homology.ShortComplex.RightHomology
[ "CategoryTheory.ShortComplex.opcycles", "CategoryTheory.Category.assoc", "CategoryTheory.Limits.HasZeroMorphisms", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "CategoryTheory.ShortComplex.RightHomologyData", "congrArg", "CategoryTheory.ShortComplex.RightHomologyData.opcyclesIso", "Catego...
true
_private.Mathlib.Topology.LocalAtTarget.0.TopologicalSpace.IsOpenCover.isOpenMap_iff_restrictPreimage._simp_1_1
Mathlib.Topology.LocalAtTarget
[ "Subtype.coe_inj", "Subtype", "propext", "Eq.symm", "Subtype.val", "Eq" ]
false
Rat.num_le_denom_iff
Mathlib.Algebra.Order.Ring.Unbundled.Rat
[ "Rat.instOfNat", "Rat.num", "HMul.hMul", "congrArg", "Rat", "AddGroupWithOne.toAddMonoidWithOne", "Rat.den", "_private.Mathlib.Algebra.Order.Ring.Unbundled.Rat.0.Rat.num_le_denom_iff._simp_1_1", "Int", "LE.le", "Rat.instLE", "Nat.cast", "MulZeroOneClass.toMulOneClass", "Int.instMul", "in...
true
Function.Periodic.contDiff_qParam
Mathlib.Analysis.Complex.Periodic
[ "NormedCommRing.toNormedRing", "InnerProductSpace.toNormedSpace", "ContDiff.div_const", "Real", "Function.Periodic.qParam", "instHDiv", "Real.pi", "HMul.hMul", "contDiff_id", "Complex.instNormedAddCommGroup", "ContDiff.cexp", "Complex.instNormedField", "NormedAlgebra.id", "Complex.instDivI...
true
MonCat.adjoinOneAdj._proof_1
Mathlib.Algebra.Category.MonCat.Adjunctions
[ "MulHom", "WithOne", "Semigroup.toMul", "MonoidHom.instFunLike", "Equiv.instEquivLike", "CategoryTheory.CategoryStruct.toQuiver", "MonoidHom", "Quiver.Hom", "Monoid.toMulOneClass", "Equiv.trans", "WithOne.lift", "MonCat.hom_ext", "Option.casesOn", "MonoidHom.ext", "MonCat.Hom.hom", "Op...
false
Subalgebra.coe_unop
Mathlib.Algebra.Algebra.Subalgebra.MulOpposite
[ "Subalgebra.instSetLike", "Subalgebra.unop", "MulOpposite.instAlgebra", "MulOpposite", "Algebra", "CommSemiring", "SetLike.coe", "Set.preimage", "MulOpposite.instSemiring", "Semiring", "Eq.refl", "Subalgebra", "Eq", "MulOpposite.op", "Set" ]
true
ENNReal.mul_div_right_comm
Mathlib.Data.ENNReal.Inv
[ "DivInvMonoid.toInv", "instHDiv", "HMul.hMul", "Monoid.toMulOneClass", "CommSemiring.toNonUnitalCommSemiring", "congrArg", "CommSemiring.toSemiring", "NonUnitalCommSemiring.toCommSemigroup", "MulOne.toMul", "HDiv.hDiv", "DivInvMonoid.toMonoid", "CommMagma.toMul", "ENNReal.instCommSemiring", ...
true
_private.Lean.Compiler.LCNF.Simp.JpCases.0.Lean.Compiler.LCNF.Simp.collectJpCasesInfo.match_1
Lean.Compiler.LCNF.Simp.JpCases
[ "Prod.mk", "Unit", "Lean.Compiler.LCNF.Simp.JpCasesInfoMap", "Prod", "Prod.casesOn" ]
false
Real.instDistribLattice._proof_4
Mathlib.Data.Real.Basic
[ "Eq.mpr", "Real.partialOrder", "Real.instLE", "Real", "abs", "congrArg", "Rat", "PartialOrder.toPreorder", "Rat.linearOrder", "Preorder.toLE", "id", "CauSeq.instLEAbs", "Rat.instLattice", "Rat.instDivisionRing", "DivisionRing.toRing", "LE.le", "Real.mk_le._simp_1", "CauSeq.sup_le",...
false
Std.Time.Minute.instOrdOffset
Std.Time.Time.Unit.Minute
[ "Ord", "Ord.mk", "Std.Time.Minute.Offset", "Std.Time.Minute.instOrdOffset._aux_1" ]
true
MonovaryOn.of_neg_left
Mathlib.Algebra.Order.Monovary
[ "NegZeroClass.toNeg", "Pi.instNeg", "AddCommGroup.toAddCommMonoid", "PartialOrder.toPreorder", "PartialOrder", "AddCommGroup", "MonovaryOn", "SubtractionMonoid.toSubNegZeroMonoid", "AntivaryOn", "SubNegZeroMonoid.toNegZeroClass", "SubtractionCommMonoid.toSubtractionMonoid", "monovaryOn_neg_lef...
true
CategoryTheory.Functor.kernel
Mathlib.CategoryTheory.ObjectProperty.ContainsZero
[ "CategoryTheory.Functor", "CategoryTheory.Limits.IsZero", "CategoryTheory.Category.toCategoryStruct", "CategoryTheory.ObjectProperty.inverseImage", "CategoryTheory.ObjectProperty", "CategoryTheory.Category" ]
true
WithLp.uniformEquiv_unitization_addEquiv_prod._proof_2
Mathlib.Analysis.Normed.Algebra.UnitizationL1
[ "NormedCommRing.toNormedRing", "WithLp", "UniformContinuous", "NormedCommRing.toSeminormedCommRing", "WithLp.instProdNormedAddCommGroup", "NormedRing.toRing", "NormedSpace", "AddCommGroup.toAddCommMonoid", "NonUnitalNonAssocRing.toAddCommGroup", "NormedAddGroup.toSeminormedAddGroup", "PseudoMetr...
false
Substring.Raw.Internal.get
Init.Data.String.Bootstrap
[ "Inhabited.default", "Pi.instInhabited", "String.Pos.Raw", "Substring.Raw", "Char.instInhabited", "Char" ]
true
_private.Init.Data.Int.DivMod.Lemmas.0.Int.natAbs_fdiv_le_natAbs._proof_1_4
Init.Data.Int.DivMod.Lemmas
[ "False", "Lean.Omega.Constraint.not_sat'_of_isImpossible", "Int.natCast_add", "of_decide_eq_true", "le_of_le_of_eq", "Lean.Omega.Constraint.mk", "Lean.Omega.Constraint.combine_sat'", "HSub.hSub", "Lean.Omega.Int.add_congr", "Lean.Omega.LinearCombo.eval", "Option.some", "Lean.Omega.LinearCombo....
false
Std.DTreeMap.Internal.Impl.keysArray_insertIfNew!_perm
Std.Data.DTreeMap.Internal.Lemmas
[ "Std.DTreeMap.Internal.Impl.SizedBalancedTree.impl", "Ord", "Array.push", "congrArg", "Std.TransOrd", "Std.DTreeMap.Internal.Impl.insertIfNew_eq_insertIfNew!", "Eq.mp", "Std.DTreeMap.Internal.Impl.size", "instDecidableEqBool", "instOfNatNat", "Std.DTreeMap.Internal.Impl.WF", "Std.DTreeMap.Inte...
true
signedDist._proof_3
Mathlib.Geometry.Euclidean.SignedDist
[ "Real", "Algebra.to_smulCommClass", "instSMulOfMul", "CommSemiring.toSemiring", "Algebra.toSMul", "Algebra.id", "instDistribOfSemiring", "Distrib.toMul", "SMulCommClass", "Real.instCommSemiring" ]
false
Dynamics.coverEntropyInf_image_of_comap
Mathlib.Dynamics.TopologicalEntropy.Semiconj
[ "Filter.instMembership", "Dynamics.coverEntropyInfEntourage_antitone", "UniformSpace", "Eq.mpr", "iSup₂_le", "SetRel.symmetrize", "SetRel", "congrArg", "CompletelyDistribLattice.toCompleteLattice", "uniformity", "PartialOrder.toPreorder", "EReal", "Preorder.toLE", "Dynamics.coverEntropyInf...
true
Lists'.rec.eq._@.Mathlib.SetTheory.Lists.1973585389._hygCtx._hyg.4
Mathlib.SetTheory.Lists
[ "Lists'.rec._@.Mathlib.SetTheory.Lists.1973585389._hygCtx._hyg.3", "Lists'.atom", "Lists'.rec.eq._@.Mathlib.SetTheory.Lists.1973585389._hygCtx._hyg.4", "Lists'.cons'", "Bool.true", "Lists'.rec", "Bool", "Bool.false", "Eq", "Lists'.nil", "Lists'" ]
false
instOrOpInt8
Init.Data.SInt.Basic
[ "Int8", "Int8.lor", "OrOp", "OrOp.mk" ]
true
_private.Init.Data.UInt.Bitwise.0.UInt32.xor_not._simp_1_1
Init.Data.UInt.Bitwise
[ "UInt32.toBitVec", "BitVec", "instOfNatNat", "UInt32.toBitVec_inj", "Nat", "propext", "UInt32", "OfNat.ofNat", "Eq.symm", "Eq" ]
false
Lean.Parser.Term.dbgTrace._regBuiltin.Lean.Parser.Term.dbgTrace_1
Lean.Parser.Term
[ "IO", "Unit", "Lean.Parser.addBuiltinLeadingParser", "Lean.Parser.Term.dbgTrace", "Lean.Name.mkStr1", "Lean.Name.mkStr4" ]
false
Lean.Level.mvar.inj
Lean.Level
[ "Lean.Level.mvar", "Lean.Level", "Lean.Level.mvar.noConfusion", "Eq", "Lean.LMVarId" ]
true
CategoryTheory.yonedaMonFullyFaithful._proof_1
Mathlib.CategoryTheory.Monoidal.Cartesian.Mon
[ "Eq.mpr", "CategoryTheory.Functor", "MonoidHom.instFunLike", "Opposite", "CategoryTheory.SemiCartesianMonoidalCategory.toUnit_unique", "CategoryTheory.CategoryStruct.toQuiver", "MonoidHom", "Quiver.Hom", "Monoid.toMulOneClass", "congrArg", "CategoryTheory.ConcreteCategory.hom", "CategoryTheory...
false
TwoSidedIdeal.subtype_injective
Mathlib.RingTheory.TwoSidedIdeal.Operations
[ "Semiring.toModule", "Ring.toNonAssocRing", "TwoSidedIdeal", "AddCommGroup.toAddCommMonoid", "LinearMap.instFunLike", "TwoSidedIdeal.addCommGroup", "Membership.mem", "Subtype", "NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring", "Subtype.coe_injective", "LinearMap", "NonAssocRing.toNonUnitalN...
true
_private.Init.Data.Vector.Algebra.0.Vector.zero_hmul._proof_1_2
Init.Data.Vector.Algebra
[ "_private.Init.Data.Vector.Algebra.0.Vector.zero_hmul._proof_1_1", "False", "Vector.getElem_hmul", "HMul.hMul", "Vector.instZero", "Lean.Grind.nestedProof", "eq_false", "Vector", "HMul", "Vector.instGetElemNatLt", "Classical.byContradiction", "Lean.Grind.Nat.lt_eq", "Exists", "Eq.mp", "i...
false
SimpleGraph.Subgraph.instMin._proof_2
Mathlib.Combinatorics.SimpleGraph.Subgraph
[ "SimpleGraph.Subgraph.edge_vert", "And.imp", "SimpleGraph.Subgraph", "Membership.mem", "SimpleGraph", "And", "SimpleGraph.Subgraph.Adj", "Set.instMembership", "SimpleGraph.Subgraph.verts", "Set" ]
false
LinearOrderedCommGroupWithZero.zpow_succ'
Mathlib.Algebra.Order.GroupWithZero.Canonical
[ "CommMonoidWithZero.toCommMonoid", "LinearOrderedCommGroupWithZero.toLinearOrderedCommMonoidWithZero", "Semigroup.toMul", "HMul.hMul", "Int", "LinearOrderedCommGroupWithZero", "Nat.cast", "LinearOrderedCommMonoidWithZero.toCommMonoidWithZero", "CommMonoid.toMonoid", "Nat", "LinearOrderedCommGrou...
true
_private.Mathlib.AlgebraicTopology.FundamentalGroupoid.Basic.0.Path.Homotopic.Quotient.symm_trans._simp_1_4
Mathlib.AlgebraicTopology.FundamentalGroupoid.Basic
[ "Path.Homotopic.Quotient", "Path.Homotopic.Quotient.eq", "TopologicalSpace", "Path", "propext", "Path.Homotopic", "Eq", "Path.Homotopic.Quotient.mk" ]
false
instRankConditionMulOpposite
Mathlib.LinearAlgebra.Matrix.InvariantBasisNumber
[ "Iff.mpr", "MulOpposite", "RankCondition", "MulOpposite.instSemiring", "Semiring", "MulOpposite.rankCondition_iff" ]
true
CategoryTheory.ShortComplex.Exact.isZero_of_both_zeros
Mathlib.Algebra.Homology.ShortComplex.Exact
[ "CategoryTheory.ShortComplex.HomologyData.exact_iff", "CategoryTheory.Limits.HasZeroMorphisms", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "CategoryTheory.ShortComplex", "CategoryTheory.ShortComplex.X₁", "CategoryTheory.ShortComplex.HomologyData.left", "CategoryTheory.Limits.HasZeroMorphi...
true
AddMonoidHom.compLeftContinuousBounded._proof_2
Mathlib.Topology.ContinuousMap.Bounded.Basic
[ "BoundedContinuousFunction.comp", "LipschitzWith", "BoundedContinuousFunction.ext", "PseudoMetricSpace.toBornology", "AddMonoid.toAddZeroClass", "PseudoMetricSpace.toUniformSpace", "AddZeroClass.toAddZero", "BoundedAdd", "BoundedContinuousFunction.instFunLike", "NNReal", "BoundedContinuousFuncti...
false
WithAbs.instField._proof_2
Mathlib.Analysis.Normed.Field.WithAbs
[ "AddGroup.toSubtractionMonoid", "Equiv.field._proof_1", "NegZeroClass.toNeg", "RingEquiv.toEquiv", "Equiv.field._proof_11", "Equiv.instEquivLike", "DivisionCommMonoid.toDivisionMonoid", "DivInvOneMonoid.toInvOneClass", "Equiv.ratCast", "WithAbs", "DivisionRing.toRatCast", "AddMonoid.toAddSemig...
false
Std.ExtTreeMap.maxKey?_le
Std.Data.ExtTreeMap.Lemmas
[ "Std.ExtTreeMap.maxKey?", "Option.some", "Membership.mem", "Ordering", "Std.TransCmp", "Bool.true", "Iff", "Std.ExtTreeMap", "Std.ExtTreeMap.inner", "Std.ExtDTreeMap.maxKey?_le", "Bool", "Std.ExtTreeMap.instMembershipOfTransCmp", "Ordering.isLE", "Eq", "Option" ]
true
CategoryTheory.ComposableArrows.Exact.exact'._auto_3
Mathlib.Algebra.Homology.ExactSequence
[ "Lean.Syntax.node", "Array.push", "Lean.Syntax", "Array.empty", "Lean.SourceInfo.none", "Lean.Name.mkStr1", "Lean.Name.mkStr4", "Lean.mkAtom" ]
false
_private.Lean.Expr.0.Lean.instReprExpr.repr.match_1
Lean.Expr
[ "Lean.Expr.const", "Lean.Expr.letE", "Lean.Expr.mvar", "Lean.MVarId", "Lean.Expr", "Lean.FVarId", "Lean.Expr.sort", "Lean.Expr.bvar", "Lean.Level", "Lean.Literal", "Lean.Expr.mdata", "Lean.Expr.fvar", "Lean.Expr.forallE", "Lean.Expr.casesOn", "List", "Lean.MData", "Lean.Expr.lam", ...
false
normFromBounded._proof_1
Mathlib.Analysis.Normed.Unbundled.SeminormFromBounded
[ "Iff.mpr", "NegZeroClass.toNeg", "Real.instLE", "Real", "CommRing", "NonUnitalCommRing.toNonUnitalNonAssocCommRing", "HMul.hMul", "CommRing.toNonUnitalCommRing", "Real.instZero", "CommSemiring.toSemiring", "NonUnitalNonAssocRing.toAddCommGroup", "AddCommGroup.toAddGroup", "Set.instSingletonS...
false
MulOpposite.coe_opLinearEquiv_addEquiv
Mathlib.Algebra.Module.Equiv.Opposite
[ "MulOpposite.opLinearEquiv", "MulOpposite", "MulOpposite.instModule", "MulOpposite.opAddEquiv", "AddEquivClass.toAddEquiv", "AddCommMonoid", "MulOpposite.instAddCommMonoid", "MulOpposite.instAdd", "RingHomInvPair.ids", "LinearEquiv", "Semiring", "LinearEquiv.instEquivLike", "AddEquiv", "Ad...
true
ValuativeRel.zero_vlt_coe_posSubmonoid
Mathlib.RingTheory.Valuation.ValuativeRel.Basic
[ "ValuativeRel.vlt", "CommRing", "CommSemiring.toSemiring", "Membership.mem", "Subtype", "MulZeroOneClass.toMulOneClass", "instMulZeroOneClassOfSemiring", "CommRing.toCommSemiring", "Subtype.prop", "Zero.toOfNat0", "ValuativeRel.posSubmonoid", "ValuativeRel", "Submonoid.instSetLike", "OfNat...
true
Int8.toInt_ofIntLE
Init.Data.SInt.Lemmas
[ "instPowNat", "Eq.mpr", "Int8.toInt_ofInt_of_le", "Int.lt_of_le_sub_one", "congrArg", "Int8.ofIntLE.eq_1", "Int8.minValue", "Int8", "Int8.toInt", "id", "instOfNatNat", "Int", "Int8.ofIntLE", "Int.instNatPow", "LE.le", "HPow.hPow", "instOfNat", "Nat", "Eq.refl", "Int8.maxValue",...
true
contDiffWithinAt_succ_iff_hasFDerivWithinAt
Mathlib.Analysis.Calculus.ContDiff.Defs
[ "ContinuousLinearMap.comp", "Filter.instMembership", "LinearIsometryEquiv.instEquivLike", "Iff.mpr", "NormedCommRing.toNormedRing", "LinearIsometryEquiv.analyticOnNhd", "Eq.mpr", "FormalMultilinearSeries.unshift._proof_5", "NormedCommRing.toSeminormedCommRing", "ContinuousLinearMap.toNormedSpace._...
true
PerfectRing.lift_self
Mathlib.FieldTheory.IsPerfectClosure
[ "PerfectRing", "CommRing", "CommSemiring.toSemiring", "AddGroupWithOne.toAddMonoidWithOne", "RingHom", "ExpChar", "PerfectRing.liftAux_self_apply", "Monoid.toPow", "RingHom.ext", "CommRing.toCommSemiring", "Nat", "Semiring.toMonoid", "PerfectRing.lift", "IsPRadical", "CommRing.toRing", ...
true
interior_Iic'
Mathlib.Topology.Order.DenselyOrdered
[ "OrderTopology", "Set.Ioi", "Preorder.toLT", "LinearOrder", "OrderDual.denselyOrdered", "PartialOrder.toPreorder", "SemilatticeInf.toPartialOrder", "DistribLattice.toLattice", "TopologicalSpace", "Set.Nonempty", "OrderDual.instTopologicalSpace", "interior", "instOrderTopologyOrderDual", "S...
true
_private.Mathlib.LinearAlgebra.CliffordAlgebra.Even.0.CliffordAlgebra.even.lift.fFold
Mathlib.LinearAlgebra.CliffordAlgebra.Even
[ "Prod.smulCommClass", "_private.Mathlib.LinearAlgebra.CliffordAlgebra.Even.0.CliffordAlgebra.even.lift.fFold._proof_6", "Submodule", "LinearMap.mk₂", "CommRing", "CliffordAlgebra.EvenHom", "Ring.toNonAssocRing", "_private.Mathlib.LinearAlgebra.CliffordAlgebra.Even.0.CliffordAlgebra.even.lift.S._proof_...
true
Aesop.CtorNames.mk.noConfusion
Aesop.Script.CtorNames
[ "id", "Array", "Aesop.CtorNames.noConfusion", "Bool", "Lean.Name", "Aesop.CtorNames.mk", "Eq", "Aesop.CtorNames" ]
false
ContinuousMap.Homotopic.prodMap
Mathlib.Topology.Homotopy.Basic
[ "ContinuousMap", "instTopologicalSpaceProd", "Nonempty.intro", "TopologicalSpace", "ContinuousMap.prodMap", "ContinuousMap.Homotopy", "ContinuousMap.Homotopic", "Prod", "_private.Mathlib.Topology.Homotopy.Basic.0.ContinuousMap.Homotopic.prodMap.match_1_1", "ContinuousMap.Homotopy.prodMap" ]
true
Std.DHashMap.Internal.Raw₀.Const.getKey?_insertManyIfNewUnit_list_of_contains_eq_false_of_mem
Std.Data.DHashMap.Internal.RawLemmas
[ "Std.DHashMap.Raw.WF", "Eq.mpr", "Std.Internal.List.DistinctKeys", "Std.DHashMap.Internal.Raw₀.contains", "List.Pairwise", "Std.DHashMap.Internal.Raw.WF.out", "congrArg", "Std.DHashMap.Internal.Raw₀.getKey?", "instForInOfForIn'", "Std.DHashMap.Raw", "Option.some", "Std.DHashMap.Internal.Raw₀.c...
true
selfAdjoint.instCommRingSubtypeMemAddSubgroup._proof_7
Mathlib.Algebra.Star.SelfAdjoint
[ "CommRing", "NonUnitalCommRing.toNonUnitalNonAssocCommRing", "HMul.hMul", "CommRing.toNonUnitalCommRing", "selfAdjoint.val_mul", "NonUnitalNonAssocRing.toAddCommGroup", "AddCommGroup.toAddGroup", "Membership.mem", "Subtype", "NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring", "selfAdjoint.instM...
false
Equiv.addMonoidWithOne._proof_1
Mathlib.Algebra.Ring.TransferInstance
[ "Equiv.apply_symm_apply", "Equiv.instEquivLike", "congrArg", "AddMonoid.toAddZeroClass", "AddMonoid.toZero", "Equiv.addMonoid", "AddZeroClass.toAddZero", "Equiv", "AddMonoidWithOne.toNatCast", "instOfNatNat", "Nat.cast", "AddZero.toZero", "Nat", "congr", "True", "eq_self", "of_eq_tru...
false
Array.toListRev_iter
Std.Data.Iterators.Lemmas.Producers.Array
[ "Array.toListRev_eq", "Array.iter", "Std.Iterators.Types.ArrayIterator", "congrArg", "Monad.toApplicative", "Std.Iter.toListRev", "instOfNatNat", "Array.toListRev_iterFromIdx", "Id", "Applicative.toPure", "Array.toList", "Array", "List", "Nat", "congr", "True", "eq_self", "List.rev...
true
Lean.Compiler.LCNF.anyFVarM
Lean.Compiler.LCNF.FVarUtil
[ "Pure.pure", "OptionT.instMonad", "_private.Lean.Compiler.LCNF.FVarUtil.0.Lean.Compiler.LCNF.anyFVarM.go", "OptionT", "Lean.Compiler.LCNF.TraverseFVar", "OptionT.run", "Monad.toApplicative", "Lean.FVarId", "Applicative.toPure", "Bool.true", "Unit", "Bool", "Monad.toBind", "Bind.bind", "L...
true
_private.Init.Data.String.Lemmas.Order.0.String.Pos.le_sliceTo_iff._simp_1_1
Init.Data.String.Lemmas.Order
[ "Std.not_lt", "LE.le", "Std.LawfulOrderLT", "LE", "LT.lt", "propext", "Std.Total", "Eq.symm", "Eq", "Not", "LT" ]
false
Mathlib.Meta.Finset.ProveEmptyOrConsResult.empty.noConfusion
Mathlib.Tactic.NormNum.BigOperators
[ "Lean.Expr.const", "Mathlib.Meta.Finset.ProveEmptyOrConsResult.noConfusion", "Mathlib.Meta.Finset.ProveEmptyOrConsResult.empty", "id", "Lean.Expr.sort", "Lean.Level", "Mathlib.Meta.Finset.ProveEmptyOrConsResult", "List.cons", "heq_of_eq", "Qq.Quoted", "Lean.Name.mkStr2", "Lean.Expr.app", "Eq...
false
IntermediateField.finrank_dvd_of_le_left
Mathlib.FieldTheory.IntermediateField.Algebraic
[ "IntermediateField.instPartialOrder", "SubsemiringClass.nontrivial", "Dvd.dvd", "NonUnitalCommRing.toNonUnitalNonAssocCommRing", "Semiring.toModule", "instSMulOfMul", "CommRing.toNonUnitalCommRing", "Algebra.algebraMap", "CommSemiring.toSemiring", "IntermediateField", "IsScalarTower", "Interme...
true
Set.Ici.boundedOrder
Mathlib.Order.LatticeIntervals
[ "Set.Ici.orderTop", "Set.Ici", "Preorder.toLE", "OrderBot", "Membership.mem", "Set.Elem", "OrderTop", "Set.Ici.orderBot", "BoundedOrder.mk", "BoundedOrder", "Set.instMembership", "Preorder", "Subtype.instLE", "Set" ]
true
_private.Mathlib.CategoryTheory.Sites.Continuous.0.CategoryTheory.PreOneHypercover.functorPushforward_sieve₁_of_preservesPullbacks._simp_1_1
Mathlib.CategoryTheory.Sites.Continuous
[ "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
CategoryTheory.Functor.PullbackObjObj.π_iso_of_iso_left_hom
Mathlib.CategoryTheory.Limits.Shapes.Pullback.PullbackObjObj
[ "CategoryTheory.Functor", "CategoryTheory.Functor.PullbackObjObj.π", "Opposite", "Quiver.Hom", "CategoryTheory.Functor.PullbackObjObj", "CategoryTheory.Functor.category", "CategoryTheory.Functor.PullbackObjObj.pt", "CategoryTheory.Arrow.left", "CategoryTheory.Iso", "CategoryTheory.Arrow.hom", "C...
true
Std.HashSet.getD_ofList_of_mem
Std.Data.HashSet.Lemmas
[ "List.Pairwise", "Membership.mem", "Std.HashSet.ofList", "Std.HashSet.getD", "LawfulHashable", "Bool.true", "List", "BEq.beq", "EquivBEq", "List.instMembership", "Bool", "Std.HashMap.getKeyD_unitOfList_of_mem", "Hashable", "Bool.false", "BEq", "Eq" ]
true
CategoryTheory.Limits.colimMap_eq
Mathlib.CategoryTheory.Limits.HasLimits
[ "CategoryTheory.Functor", "CategoryTheory.Limits.hasColimitOfHasColimitsOfShape", "CategoryTheory.Limits.HasColimitsOfShape", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "CategoryTheory.Limits.colim", "CategoryTheory.Functor.category", "CategoryTheory.Limits.colimit", "CategoryTheory.Fun...
true
InverseSystem.pEquivOnGlue._proof_5
Mathlib.Order.DirectedInverseSystem
[ "Preorder.toLT", "Equiv.instEquivLike", "Order.succ", "Order.IsSuccPrelimit", "InverseSystem.PEquivOn.equiv", "InverseSystem.pEquivOnGlue._proof_3", "LinearOrder", "WellFoundedLT", "PartialOrder.toPreorder", "InverseSystem.limit", "InverseSystem.pEquivOnGlue._proof_4", "Preorder.toLE", "Memb...
false
Sublattice.coe_sup._simp_1
Mathlib.Order.Sublattice
[ "Sublattice", "Lattice", "Lattice.toSemilatticeSup", "Membership.mem", "SemilatticeSup.toMax", "Subtype", "Sublattice.instSupCoe", "Max.max", "Sublattice.instSetLike", "Sublattice.coe_sup", "Eq.symm", "Subtype.val", "Eq", "SetLike.instMembership" ]
false
_private.Lean.Elab.InfoTree.Main.0.Lean.Elab.formatStxRange.match_1
Lean.Elab.InfoTree.Main
[ "Lean.SourceInfo.original", "Lean.SourceInfo.ctorIdx", "Lean.SourceInfo", "_private.Lean.Elab.InfoTree.Main.0.Lean.Elab.formatStxRange._sparseCasesOn_2", "Nat.hasNotBit", "Lean.SourceInfo.synthetic", "String.Pos.Raw", "Substring.Raw", "_private.Lean.Elab.InfoTree.Main.0.Lean.Elab.formatStxRange._spa...
false
Std.Time.Formats.leanDateTimeWithIdentifier
Std.Time.Format
[ "Std.Time.FormatPart", "Std.Time.Modifier.m", "Std.Time.FormatPart.string", "Std.Time.Modifier.d", "Std.Time.FormatPart.modifier", "instOfNatNat", "Sum.inl", "Std.Time.Modifier.s", "List.cons", "Std.Time.Awareness.any", "Std.Time.GenericFormat.mk", "Nat", "Std.Time.Modifier.H", "Std.Time.N...
true
Submonoid.coe_mul_self_eq
Mathlib.Algebra.Group.Submonoid.Pointwise
[ "Monoid", "HMul.hMul", "coe_mul_coe", "Monoid.toMulOneClass", "congrArg", "Submonoid.instSubmonoidClass", "MulOne.toMul", "MulOneClass.toMulOne", "SetLike.coe", "True", "eq_self", "of_eq_true", "congrFun'", "Submonoid.instSetLike", "Set.mul", "Eq", "Submonoid", "Eq.trans", "instH...
true
LinearMap.curry_uncurryLeft
Mathlib.LinearAlgebra.Multilinear.Curry
[ "LinearMap.uncurryLeft", "Fin.succ", "CommSemiring.toSemiring", "MultilinearMap.addCommMonoid", "MultilinearMap.curryLeft", "Fin.instOfNat", "LinearMap", "MultilinearMap", "smulCommClass_self", "AddCommMonoid", "CommSemiring", "CommMonoid.toMonoid", "Nat.instNeZeroSucc", "Nat", "Multilin...
true
FractionalIdeal.num_zero_eq
Mathlib.RingTheory.FractionalIdeal.Basic
[ "Eq.mpr", "Submodule.pointwiseDistribMulAction", "FractionalIdeal.num", "Submodule", "Submodule.instAddCommMonoidWithOne", "CommRing", "instHSMul", "NonUnitalCommRing.toNonUnitalNonAssocCommRing", "Semiring.toModule", "CommRing.toNonUnitalCommRing", "Algebra.algebraMap", "congrArg", "CommSem...
true
smoothingFun_nonneg
Mathlib.Analysis.Normed.Unbundled.SmoothingSeminorm
[ "Eq.mpr", "Real.instLE", "Real", "CommRing", "instHDiv", "NonUnitalCommRing.toNonUnitalNonAssocCommRing", "RingSeminorm.ringSeminormClass", "Real.lattice", "CommRing.toNonUnitalCommRing", "ge_of_tendsto", "Real.instZero", "congrArg", "CommSemiring.toSemiring", "instHasSolidNormReal", "Re...
true
Lean.Parser.Term.doReassignArrow._regBuiltin.Lean.Parser.Term.doReassignArrow.formatter_7
Lean.Parser.Do
[ "Lean.PrettyPrinter.Formatter", "Lean.Name.mkStr5", "IO", "Unit", "Lean.Parser.Term.doReassignArrow.formatter", "Lean.PrettyPrinter.formatterAttribute", "Lean.Name.mkStr4", "Lean.KeyedDeclsAttribute.addBuiltin" ]
false
RingEquiv.sumArrowEquivProdArrow_apply
Mathlib.Algebra.Ring.Equiv
[ "Equiv.instEquivLike", "Prod.instMul", "Prod.instAdd", "RingEquiv.instEquivLike", "RingEquiv.sumArrowEquivProdArrow", "Sum", "Equiv", "Distrib.toAdd", "Pi.instAdd", "NonAssocSemiring", "Distrib.toMul", "NonAssocSemiring.toNonUnitalNonAssocSemiring", "NonUnitalNonAssocSemiring.toDistrib", "...
true
AlgEquiv.prodUnique._proof_1
Mathlib.Algebra.Algebra.Prod
[ "RingEquiv.toEquiv", "Function.LeftInverse", "Prod.instMul", "Prod.instAdd", "Unique", "Distrib.toAdd", "Equiv.toFun", "RingEquiv.prodZeroRing", "Unique.instSubsingleton", "Distrib.toMul", "NonAssocSemiring.toNonUnitalNonAssocSemiring", "Semiring", "NonUnitalNonAssocSemiring.toDistrib", "P...
false
Mathlib.Tactic.TautoSet.specialize_all
Mathlib.Tactic.TautoSet
[ "Lean.ParserDescr.nonReservedSymbol", "instOfNatNat", "Lean.ParserDescr.binary", "Lean.ParserDescr", "Lean.ParserDescr.node", "Nat", "Lean.ParserDescr.cat", "OfNat.ofNat", "Bool.false", "Lean.Name.mkStr1", "Lean.Name.mkStr4" ]
true
CategoryTheory.Functor.LaxLeftLinear.mk._flat_ctor
Mathlib.CategoryTheory.Monoidal.Action.LinearFunctor
[ "CategoryTheory.Functor.LaxLeftLinear.μₗ_unitality._autoParam", "CategoryTheory.Functor", "CategoryTheory.MonoidalCategory.MonoidalLeftActionStruct.actionHomLeft", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "CategoryTheory.MonoidalCategory.MonoidalLeftActionStruct.actionAssocIso", "Category...
false
instCoeTCMulEquivOfMulEquivClass.eq_1
Mathlib.Algebra.Group.Equiv.Defs
[ "CoeTC", "Mul", "instCoeTCMulEquivOfMulEquivClass", "MulEquivClass", "EquivLike", "MulEquiv", "Eq.refl", "Eq", "MulEquivClass.toMulEquiv", "CoeTC.mk" ]
true
Std.Time.Day.Ordinal.ofNat._auto_1
Std.Time.Date.Unit.Day
[ "Lean.Syntax.node", "Array.push", "Lean.Syntax", "Array.empty", "Lean.SourceInfo.none", "Lean.Name.mkStr1", "Lean.Name.mkStr4", "Lean.mkAtom" ]
false
_private.Mathlib.NumberTheory.ModularForms.LevelOne.DimensionFormula.0.ModularForm.levelOne_weight_two_rank_zero._simp_1_2
Mathlib.NumberTheory.ModularForms.LevelOne.DimensionFormula
[ "ModularForm", "Real", "MvPowerSeries.instZero", "UpperHalfPlane.qExpansion", "Real.instZero", "AddGroupWithOne.toAddGroup", "Matrix", "instDecidableEqFin", "ModularForm.instZero", "Complex.instZero", "Real.instLT", "Membership.mem", "Real.semiring", "Subgroup", "Real.instRing", "instO...
false
CategoryTheory.Cat.Hom.isoMk_inv
Mathlib.CategoryTheory.Category.Cat
[ "CategoryTheory.Functor", "Quiver.Hom", "CategoryTheory.Functor.category", "CategoryTheory.Functor.toCatHom", "CategoryTheory.Cat.of", "CategoryTheory.Cat.instQuiver", "CategoryTheory.Iso", "CategoryTheory.Cat.Hom.instQuiver", "CategoryTheory.Cat", "CategoryTheory.NatTrans.toCatHom₂", "Eq.refl",...
true
CommRingCat.forget₂Ring_preservesLimits
Mathlib.Algebra.Category.Ring.Limits
[ "CommRingCat.forget₂Ring_preservesLimitsOfSize", "CommRingCat.carrier", "CommSemiring.toSemiring", "CommRingCat", "CommRingCat.instConcreteCategoryRingHomCarrier", "RingCat.ring", "RingHom", "CommRingCat.instCategory", "RingCat.instConcreteCategoryRingHomCarrier", "RingCat", "CategoryTheory.forg...
true
eq_zero_of_neg_eq
Mathlib.Algebra.Order.Group.Defs
[ "Iff.mpr", "AddGroup.toSubtractionMonoid", "NegZeroClass.toNeg", "Preorder.toLT", "AddCommGroup.toAddCommMonoid", "instIsLeftCancelAddOfAddLeftReflectLE", "LinearOrder", "AddMonoid.toAddZeroClass", "PartialOrder.toPreorder", "Preorder.toLE", "AddCommGroup.toAddGroup", "SemilatticeInf.toPartial...
true
Besicovitch.exists_goodδ
Mathlib.MeasureTheory.Covering.BesicovitchVectorSpace
[ "Mathlib.Tactic.Push.not_forall_eq", "Mathlib.Tactic.Push.not_exists._simp_1", "_private.Mathlib.MeasureTheory.Covering.BesicovitchVectorSpace.0.Besicovitch.exists_goodδ._simp_1_6", "Real.instIsOrderedRing", "Norm.norm", "_private.Mathlib.MeasureTheory.Covering.BesicovitchVectorSpace.0.Besicovitch.exists_...
true
CompleteOrthogonalIdempotents.ringEquivOfIsMulCentral._proof_2
Mathlib.RingTheory.Idempotents
[ "Eq.mpr", "NonAssocSemiring.toAddCommMonoidWithOne", "Semigroup.toMul", "HMul.hMul", "Finset.univ", "congrArg", "Finset", "CompleteOrthogonalIdempotents.toOrthogonalIdempotents", "mul_assoc", "Membership.mem", "SemigroupWithZero.toSemigroup", "OrthogonalIdempotents.idem", "id", "IsMulCentr...
false
_private.Mathlib.Tactic.DepRewrite.0.Lean.MVarId.depRewrite.match_3
Mathlib.Tactic.DepRewrite
[ "Lean.Expr", "Nat.hasNotBit", "Lean.Expr.lam", "_private.Mathlib.Tactic.DepRewrite.0.Lean.MVarId.depRewrite._sparseCasesOn_3", "Lean.Name", "Lean.BinderInfo", "Lean.Expr.ctorIdx" ]
false
RingCon.ringConGen_eq
Mathlib.RingTheory.Congruence.Basic
[ "RingCon.instPartialOrder", "RingCon.instFunLikeForallProp", "setOf", "RingConGen.Rel", "Mul", "RingCon.instCompleteLattice", "Membership.mem", "RingCon", "RingCon.mul", "RingConGen.Rel.recOn", "RingCon.refl", "RingCon.trans", "ringConGen", "CompleteLattice.toCompleteSemilatticeInf", "le...
true
AddGroupSeminorm.map_zero'
Mathlib.Analysis.Normed.Group.Seminorm
[ "AddGroup.toSubtractionMonoid", "Real", "Real.instZero", "SubtractionMonoid.toSubNegZeroMonoid", "SubNegZeroMonoid.toNegZeroClass", "AddGroupSeminorm", "AddGroup", "AddGroupSeminorm.toFun", "Zero.toOfNat0", "OfNat.ofNat", "NegZeroClass.toZero", "Eq" ]
true