name
string
module
string
deps
list
MeasureTheory.measure_eq_measure_smaller_of_between_null_diff
Mathlib.MeasureTheory.Measure.MeasureSpace
[ "MeasureTheory.Measure", "HasSubset.Subset", "instZeroENNReal", "MeasurableSpace", "SDiff.sdiff", "MeasureTheory.measure_eq_measure_of_between_null_diff", "And.left", "ENNReal", "Zero.toOfNat0", "OfNat.ofNat", "Eq", "DFunLike.coe", "Set.instSDiff", "Set.instHasSubset", "MeasureTheory.Mea...
Subgroup.orderIsoCon
Mathlib.GroupTheory.QuotientGroup.Defs
[ "Subgroup.orderIsoCon._proof_2", "RelIso.mk", "Monoid.toMulOneClass", "QuotientGroup.con_subgroup", "PartialOrder.toPreorder", "Group", "Preorder.toLE", "Equiv.mk", "MulOne.toMul", "Subtype", "OrderIso", "DivInvMonoid.toMonoid", "Subgroup", "Con.instLE", "LE.le", "Subtype.mk", "Group...
CommMonCat.forget₂CreatesLimit._proof_11
Mathlib.Algebra.Category.MonCat.Limits
[ "MonCat.limitMonoid", "CategoryTheory.Limits.Cone.π", "MulOne.toOne", "CategoryTheory.Functor", "CategoryTheory.Limits.Cone", "MonoidHom.instFunLike", "Equiv.instEquivLike", "CategoryTheory.Limits.Types.Small.limitCone", "CommMonCat.instConcreteCategoryMonoidHomCarrier", "CategoryTheory.CategorySt...
_private.Std.Data.DHashMap.Internal.Defs.0.Std.DHashMap.Internal.Raw₀.expand.go.induct
Std.Data.DHashMap.Internal.WF
[ "Std.DHashMap.Internal.Raw₀.reinsertAux", "Array.set", "Std.DHashMap.Internal.AssocList.foldl", "Std.DHashMap.Internal.AssocList.nil", "PSigma.casesOn", "id", "Subtype", "instOfNatNat", "Array", "GetElem.getElem", "instHAdd", "Array.instGetElemNatLtSize", "HAdd.hAdd", "Hashable.hash", "N...
_private.Batteries.Data.RBMap.Lemmas.0.Batteries.RBNode.Ordered.memP_iff_lowerBound?.match_1_5
Batteries.Data.RBMap.Lemmas
[ "False", "HEq.refl", "False.elim", "noConfusion_of_Nat", "Ordering", "Ordering.eq", "Eq.casesOn", "Ordering.lt", "Ordering.ctorIdx", "Eq.refl", "HEq", "Eq" ]
ContinuousLinearMap.equivProdOfSurjectiveOfIsCompl.congr_simp
Mathlib.Analysis.Calculus.Implicit
[ "Submodule", "RingHomSurjective.ids", "instUniformSpaceProd", "CompleteSpace", "NormedSpace", "Submodule.completeLattice", "NormedSpace.toModule", "LinearMap.ker", "PseudoMetricSpace.toUniformSpace", "instTopologicalSpaceProd", "NormedField.toField", "Eq.rec", "CompleteLattice.toBoundedOrder...
Std.Sat.AIG.RelabelNat.State.noConfusionType
Std.Sat.AIG.RelabelNat
[ "Std.Sat.AIG.Decl", "Std.Sat.AIG.RelabelNat.State.casesOn", "Std.HashMap", "instBEqOfDecidableEq", "Std.Sat.AIG.RelabelNat.State.Inv2", "Array", "Nat", "Std.Sat.AIG.RelabelNat.State", "Std.Sat.AIG.RelabelNat.State.Inv1", "HEq", "Hashable", "Eq", "DecidableEq" ]
_private.Mathlib.RingTheory.OrderOfVanishing.0.Ring.ordFrac._simp_1
Mathlib.RingTheory.OrderOfVanishing
[ "GroupWithZero.toMonoidWithZero", "GroupWithZero", "IsUnit", "Ne", "isUnit_iff_ne_zero", "MonoidWithZero.toMulZeroOneClass", "propext", "Zero.toOfNat0", "MulZeroOneClass.toMulZeroClass", "OfNat.ofNat", "Eq", "MonoidWithZero.toMonoid", "MulZeroClass.toZero" ]
WellFounded.Nat.fix.go.congr_simp
Init.WF
[ "InvImage", "Eq.rec", "WellFounded.Nat.fix.go", "Nat", "LT.lt", "Eq.ndrec", "Eq.refl", "instLTNat", "Eq" ]
hasSum_nat_jacobiTheta
Mathlib.NumberTheory.ModularForms.JacobiTheta.OneVariable
[ "add_sub_assoc", "AddGroup.toSubtractionMonoid", "Int.cast_neg", "Int.cast", "Eq.mpr", "NegZeroClass.toNeg", "NormedCommRing.toSeminormedCommRing", "NonAssocSemiring.toAddCommMonoidWithOne", "Int.cast_natCast", "Real", "instHDiv", "NonUnitalCommRing.toNonUnitalNonAssocCommRing", "IsTopologic...
Std.Sat.AIG.denote_idx_gate
Std.Sat.AIG.Lemmas
[ "Eq.mpr", "Std.Sat.AIG.Entrypoint.aig", "Std.Sat.AIG.Decl", "Std.Sat.AIG.denote.go.congr_simp", "False", "Std.Sat.AIG.denote_idx_gate._proof_2", "Std.Sat.AIG.Fanin.gate", "Std.Sat.AIG.Ref.mk", "Std.Sat.AIG.denote._proof_5", "_private.Std.Sat.AIG.Lemmas.0.Std.Sat.AIG.toGraphviz.go.match_1.splitter"...
TopologicalSpace.DiscreteTopology.metrizableSpace
Mathlib.Topology.Metrizable.Basic
[ "UniformSpace", "TopologicalSpace.PseudoMetrizableSpace.mk", "Lattice.toSemilatticeSup", "TopologicalSpace.MetrizableSpace", "SetRel.id", "CompleteLattice.toLattice", "DiscreteTopology", "OrderBot.toBot", "uniformity", "PartialOrder.toPreorder", "DiscreteTopology.toT2Space", "Preorder.toLE", ...
CategoryTheory.Limits.isLimitOfHasBinaryProductOfPreservesLimit
Mathlib.CategoryTheory.Limits.Preserves.Shapes.BinaryProducts
[ "CategoryTheory.Functor", "CategoryTheory.Limits.PreservesLimit", "CategoryTheory.Limits.prod.fst", "CategoryTheory.Limits.BinaryFan.mk", "CategoryTheory.Limits.WalkingPair", "CategoryTheory.Functor.map", "CategoryTheory.Limits.prod.snd", "CategoryTheory.Limits.prodIsProd", "CategoryTheory.Limits.Is...
Real.fourierIntegralInv_comp_linearIsometry
Mathlib.Analysis.Fourier.FourierTransform
[ "LinearIsometryEquiv.instEquivLike", "InnerProductSpace.toNormedSpace", "Real", "NormedSpace", "Real.instRCLike", "NormedSpace.toModule", "Complex.instNormedField", "PseudoMetricSpace.toUniformSpace", "Function.comp", "Real.fourierInv_comp_linearIsometry", "BorelSpace", "Real.semiring", "Rea...
CategoryTheory.ShortComplex.Splitting.mk._flat_ctor
Mathlib.Algebra.Homology.ShortComplex.Exact
[ "CategoryTheory.ShortComplex.Splitting.s_g._autoParam", "CategoryTheory.ShortComplex.Splitting.f_r._autoParam", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "AddCommGroup.toAddCommMonoid", "CategoryTheory.ShortComplex", "CategoryTheory.ShortComplex.X₁", "CategoryTheory.CategoryStruct.id", ...
_private.Mathlib.Algebra.Star.UnitaryStarAlgAut.0.Unitary.conjStarAlgAut_ext_iff'._simp_1_6
Mathlib.Algebra.Star.UnitaryStarAlgAut
[ "Monoid", "Units.val", "HMul.hMul", "Monoid.toMulOneClass", "Units", "MulOne.toMul", "MulOneClass.toMulOne", "Inv.inv", "propext", "Eq.symm", "Eq", "Units.instInv", "Units.eq_inv_mul_iff_mul_eq", "instHMul" ]
Mathlib.Tactic.ITauto.Proof.orImpL.sizeOf_spec
Mathlib.Tactic.ITauto
[ "Mathlib.Tactic.ITauto.Proof._sizeOf_inst", "instOfNatNat", "instHAdd", "Mathlib.Tactic.ITauto.Proof", "HAdd.hAdd", "Nat", "SizeOf.sizeOf", "Mathlib.Tactic.ITauto.Proof.orImpL", "instAddNat", "Eq.refl", "OfNat.ofNat", "Eq" ]
Dense.eq_of_inner_right
Mathlib.Analysis.InnerProductSpace.Continuous
[ "AddGroup.toSubtractionMonoid", "Eq.mpr", "NonUnitalCommRing.toNonUnitalNonAssocCommRing", "Inner.inner", "congrArg", "sub_eq_zero", "HSub.hSub", "PseudoMetricSpace.toUniformSpace", "NonUnitalNonAssocSemiring.toMulZeroClass", "Membership.mem", "Dense", "id", "NonUnitalNonAssocRing.toNonUnita...
iteratedDerivWithin_add
Mathlib.Analysis.Calculus.IteratedDeriv.Lemmas
[ "NormedCommRing.toNormedRing", "Eq.mpr", "NormedCommRing.toSeminormedCommRing", "NormedRing.toRing", "instAddMonoidWithOneENat", "NormedSpace", "UniqueDiffOn", "congrArg", "NormedSpace.toModule", "AddGroupWithOne.toAddMonoidWithOne", "iteratedDerivWithin", "PseudoMetricSpace.toUniformSpace", ...
MeasureTheory.lintegral_def
Mathlib.MeasureTheory.Integral.Lebesgue.Basic
[ "MeasureTheory.SimpleFunc.lintegral", "Eq.mpr", "MeasureTheory.Measure", "congrArg", "iSup", "PartialOrder.toPreorder", "Preorder.toLE", "MeasureTheory.SimpleFunc", "id", "Subtype", "LE.le", "ConditionallyCompleteLinearOrder.toConditionallyCompleteLattice", "Pi.hasLe", "Subtype.mk", "Mea...
Polynomial.Splits.X_pow
Mathlib.Algebra.Polynomial.Splits
[ "Polynomial.Splits.X", "Polynomial", "Monoid.toPow", "Polynomial.Splits.pow", "HPow.hPow", "Polynomial.semiring", "Nat", "Semiring", "instHPow", "Polynomial.Splits", "Polynomial.X", "MonoidWithZero.toMonoid", "Semiring.toMonoidWithZero" ]
Lean.Compiler.LCNF.Phase.le_refl._simp_1
Lean.Compiler.LCNF.PassManager
[ "LE.le", "Lean.Compiler.LCNF.Phase.le_refl", "Lean.Compiler.LCNF.instLEPhase", "Lean.Compiler.LCNF.Phase", "True", "eq_true", "Eq" ]
ENNReal.continuousAt_const_mul
Mathlib.Topology.Instances.ENNReal.Lemmas
[ "HMul.hMul", "CommSemiring.toSemiring", "ContinuousAt", "Filter.tendsto_id", "nhds", "ENNReal.Tendsto.const_mul", "Ne", "ENNReal.instCommSemiring", "instZeroENNReal", "Or.symm", "Distrib.toMul", "NonAssocSemiring.toNonUnitalNonAssocSemiring", "ENNReal", "NonUnitalNonAssocSemiring.toDistrib...
DirectSum.Decomposition.mk.noConfusion
Mathlib.Algebra.DirectSum.Decomposition
[ "SetLike", "DirectSum.coeAddMonoidHom", "DirectSum.Decomposition", "Function.LeftInverse", "instAddCommMonoidDirectSum", "HEq.refl", "DirectSum.Decomposition.noConfusion", "AddMonoid.toAddZeroClass", "Membership.mem", "AddSubmonoidClass", "AddZeroClass.toAddZero", "id", "Subtype", "AddSubm...
_private.Mathlib.RingTheory.Adjoin.Field.0.AlgEquiv.adjoinSingletonEquivAdjoinRootMinpoly._simp_1
Mathlib.RingTheory.Adjoin.Field
[ "Subalgebra.instSetLike", "NonAssocSemiring.toAddCommMonoidWithOne", "SubsemiringClass.toAddSubmonoidClass", "AddMonoid.toAddZeroClass", "Algebra", "NonUnitalNonAssocSemiring.toMulZeroClass", "Membership.mem", "Subtype", "ZeroMemClass.zero", "AddCommMonoidWithOne.toAddMonoidWithOne", "CommSemiri...
intervalIntegral.FTCFilter.le_nhds
Mathlib.MeasureTheory.Integral.IntervalIntegral.FundThmCalculus
[ "Real", "outParam", "PartialOrder.toPreorder", "PseudoMetricSpace.toUniformSpace", "Preorder.toLE", "nhds", "LE.le", "intervalIntegral.FTCFilter", "Real.pseudoMetricSpace", "UniformSpace.toTopologicalSpace", "Filter", "Filter.instPartialOrder" ]
Mathlib.Meta.Positivity.evalNNRealSqrt
Mathlib.Data.Real.Sqrt
[ "Qq.QuotedDefEq", "Pure.pure", "Lean.instantiateMVars", "Lean.MonadError.mk", "Lean.instMonadExceptOfExceptionCoreM", "Lean.MetavarKind.natural", "Mathlib.Meta.Positivity.Strictness", "Mathlib.Meta.Positivity.PositivityExt", "ReaderT", "instMonadControlTOfPure", "String", "Lean.Meta.State", ...
Submonoid.units._proof_2
Mathlib.Algebra.Group.Submonoid.Units
[ "Monoid", "MonoidHom.instMonoidHomClass", "Submonoid.inv", "MonoidHom.instFunLike", "Units.coeHom", "DivInvOneMonoid.toInvOneClass", "MonoidHom", "Monoid.toMulOneClass", "Submonoid.toSubsemigroup", "Group.toDivisionMonoid", "Membership.mem", "DivisionMonoid.toDivInvOneMonoid", "Units", "Mu...
Order.isPredLimitRecOn_pred_of_not_isMin
Mathlib.Order.SuccPred.Limit
[ "Eq.mpr", "Preorder.toLT", "Lattice.toSemilatticeSup", "congrArg", "LinearOrder", "PartialOrder.toPreorder", "Order.isPredPrelimitRecOn", "Classical.propDecidable", "Preorder.toLE", "Order.isPredPrelimitRecOn_pred_of_not_isMin", "DistribLattice.toLattice", "id", "Order.isPredLimitRecOn._proo...
CategoryTheory.ObjectProperty.isSeparating_unop_iff
Mathlib.CategoryTheory.Generator.Basic
[ "Opposite", "CategoryTheory.CategoryStruct.opposite", "CategoryTheory.ObjectProperty.isCoseparating_op_iff", "CategoryTheory.ObjectProperty.unop", "CategoryTheory.ObjectProperty.IsCoseparating", "Iff", "CategoryTheory.Category.opposite", "CategoryTheory.Category.toCategoryStruct", "CategoryTheory.Ob...
_private.Mathlib.Algebra.BigOperators.Group.Finset.Gaps.0.Finset.sum_eq_sum_range_intervalGapsWithin._proof_1_5
Mathlib.Algebra.BigOperators.Group.Finset.Gaps
[ "False", "Set.mem_Iio", "Preorder.toLT", "eq_false", "Lean.Grind.iff_eq", "congrArg", "Finset", "Classical.byContradiction", "Lean.Grind.Nat.lt_eq", "Membership.mem", "Eq.mp", "id", "instOfNatNat", "Finset.mem_range", "LE.le", "instLENat", "Finset.range", "instHAdd", "Iff", "Fi...
Std.DTreeMap.Internal.Impl.get?ₘ_eq_getValueCast?
Std.Data.DTreeMap.Internal.WF.Lemmas
[ "Eq.mpr", "Std.DTreeMap.Internal.Impl.applyCell", "Std.Internal.List.getValueCast?._proof_1", "and_true", "Ord", "Iff.of_eq", "Std.DTreeMap.Internal.Impl.get?ₘ", "congrArg", "Option.toList", "Std.Internal.List.getValueCast?", "Std.TransOrd", "Std.DTreeMap.Internal.Impl.Ordered", "Std.DTreeMa...
MeasureTheory.SignedMeasure.null_of_totalVariation_zero
Mathlib.MeasureTheory.VectorMeasure.Decomposition.Jordan
[ "MeasureTheory.JordanDecomposition.posPart", "MeasureTheory.SignedMeasure.totalVariation", "Eq.mpr", "MeasureTheory.JordanDecomposition.toSignedMeasure", "Real", "MeasureTheory.Measure", "MeasurableSet", "ENNReal.instAddCommMonoid", "sub_self", "Real.instZero", "congrArg", "CommSemiring.toSemi...
CategoryTheory.Abelian.SpectralObject.homologyDataIdId_right_ι
Mathlib.Algebra.Homology.SpectralObject.Page
[ "CategoryTheory.Abelian.toPreadditive", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "CategoryTheory.Abelian.SpectralObject.H", "PartialOrder.toPreorder", "CategoryTheory.Functor.category", "CategoryTheory.Abelian", "CategoryTheory.ComposableArrows", "CategoryTheory.CategoryStruct.id", ...
Module.Free.chooseBasis._proof_1
Mathlib.LinearAlgebra.FreeModule.Basic
[ "Module.free_iff_set", "Exists.choose_spec", "Exists", "Set.Elem", "Module.Free.ChooseBasisIndex._proof_1", "AddCommMonoid", "Module.Free", "Module.Basis", "Iff.mp", "Semiring", "Nonempty", "Exists.choose", "Module", "Set" ]
Affine.Simplex.excenterWeights_compl
Mathlib.Geometry.Euclidean.Incenter
[ "AddGroup.toSubtractionMonoid", "Pi.Function.module", "InnerProductSpace.toNormedSpace", "NegZeroClass.toNeg", "NormedCommRing.toSeminormedCommRing", "Nat.instMulZeroClass", "neg_smul", "Real", "instHSMul", "Pi.instNeg", "NonUnitalCommRing.toNonUnitalNonAssocCommRing", "Pi.addGroup", "Divisi...
_private.Mathlib.NumberTheory.SumFourSquares.0.Int.sq_add_sq_of_two_mul_sq_add_sq._simp_1_1
Mathlib.NumberTheory.SumFourSquares
[ "NonAssocSemiring.toAddCommMonoidWithOne", "Dvd.dvd", "Nat.instAtLeastTwoHAddOfNat", "semigroupDvd", "SemigroupWithZero.toSemigroup", "Distrib.toAdd", "AddMonoidWithOne.toNatCast", "instOfNatNat", "AddCommMonoidWithOne.toAddMonoidWithOne", "NonUnitalSemiring.toSemigroupWithZero", "Nat.instNeZero...
Representation.Coinvariants.hom_ext_iff
Mathlib.RepresentationTheory.Coinvariants
[ "Monoid", "CommRing", "Representation", "CommSemiring.toSemiring", "AddCommGroup.toAddCommMonoid", "HEq.refl", "AddCommGroup", "Eq.casesOn", "Representation.Coinvariants.hom_ext", "LinearMap", "LinearMap.comp", "Representation.Coinvariants", "CommRing.toCommSemiring", "Iff", "Iff.intro",...
ValuativeRel.IsRankLeOne.mk
Mathlib.RingTheory.Valuation.ValuativeRel.Basic
[ "CommRing", "ValuativeRel.IsRankLeOne", "ValuativeRel.RankLeOneStruct", "ValuativeRel.IsRankLeOne.mk", "Nonempty", "ValuativeRel" ]
Function.Antiperiodic.funext'
Mathlib.Algebra.Ring.Periodic
[ "Iff.mpr", "Pi.involutiveNeg", "neg_eq_iff_eq_neg", "instHAdd", "InvolutiveNeg", "HAdd.hAdd", "Function.Antiperiodic", "Function.Antiperiodic.funext", "InvolutiveNeg.toNeg", "Eq", "Neg.neg", "Add" ]
Array.getElem?_zip_eq_some
Init.Data.Array.Zip
[ "Eq.mpr", "congrArg", "Array.getElem?_zipWith_eq_some", "_private.Init.Data.Array.Zip.0.Array.zip.eq_1", "Option.some.injEq", "Option.some", "Exists", "Eq.mp", "id", "Prod.mk", "Prod.fst", "Array", "And.casesOn", "And", "Iff", "Exists.casesOn", "Nat", "Prod.mk.injEq", "And.intro"...
Std.TreeMap.Raw.maxKey!_insert
Std.Data.TreeMap.Raw.Lemmas
[ "Std.TreeMap.Raw.maxKey!", "Std.TreeMap.Raw.WF.out", "Std.TreeMap.Raw.insert", "Std.TreeMap.Raw.maxKey?", "Ordering", "instDecidableEqBool", "Std.TransCmp", "Std.TreeMap.Raw.WF", "Std.TreeMap.Raw.inner", "Std.TreeMap.Raw", "Bool.true", "Std.DTreeMap.Raw.maxKey!_insert", "Bool", "Inhabited"...
FirstOrder.Language.PartialEquiv.mk.injEq
Mathlib.ModelTheory.PartialEquiv
[ "Eq.propIntro", "FirstOrder.Language.Equiv", "Lean.injEq_helper", "FirstOrder.Language.Substructure.inducedStructure", "Membership.mem", "FirstOrder.Language.Substructure.instSetLike", "HEq.homo_ndrec", "Subtype", "FirstOrder.Language.PartialEquiv.mk.inj", "FirstOrder.Language.Substructure", "Fi...
Std.TreeMap.keys.eq_1
Std.Data.TreeSet.Iterator
[ "Std.TreeMap.inner", "Std.TreeMap.keys", "Ordering", "List", "Eq.refl", "Std.DTreeMap.keys", "Eq", "Std.TreeMap" ]
List.unattach_append
Init.Data.List.Attach
[ "List.unattach", "congrArg", "List.map", "Subtype", "instHAppendOfAppend", "List", "True", "eq_self", "of_eq_true", "congrFun'", "List.map_append", "List.instAppend", "Subtype.val", "Eq", "HAppend.hAppend", "Eq.trans" ]
TopologicalSpace.Opens.coe_eq_univ._simp_1
Mathlib.Topology.Sets.Opens
[ "Lattice.toSemilatticeSup", "CompleteLattice.toLattice", "TopologicalSpace.Opens.instCompleteLattice", "Set.univ", "PartialOrder.toPreorder", "TopologicalSpace.Opens", "Preorder.toLE", "CompleteLattice.toBoundedOrder", "TopologicalSpace.Opens.instSetLike", "TopologicalSpace", "OrderTop.toTop", ...
AddMonoidAlgebra.sup_support_list_prod_le
Mathlib.Algebra.MonoidAlgebra.Degree
[ "List.sum_nil", "List.brecOn", "Eq.mpr", "NonAssocSemiring.toAddCommMonoidWithOne", "Finset.mem_singleton", "le_refl", "HMul.hMul", "AddMonoid.toAddSemigroup", "List.map_cons", "congrArg", "Finset", "List.map", "AddMonoid.toAddZeroClass", "List.sum", "PartialOrder.toPreorder", "AddLeft...
Primrec.fst
Mathlib.Computability.Primrec.Basic
[ "Eq.mpr", "Nat.Primrec.left", "congrArg", "Nat.unpair", "Nat.Primrec.succ", "Option.casesOn", "Option.some", "Option.bind", "Nat.rec", "Option.encodable", "id", "Prod.mk", "instOfNatNat", "Prod.fst", "Nat.pair", "Primcodable.prod", "Nat.Primrec.comp", "Primrec", "Nat.Primrec.zero...
_private.Mathlib.Data.List.InsertIdx.0.List.take_eraseIdx_eq_take_of_le._proof_1_1
Mathlib.Data.List.InsertIdx
[ "Lean.Grind.CommRing.le_norm_expr", "Lean.Grind.instOrderedRingInt", "Lean.RArray.leaf", "False", "List.eraseIdx", "HMul.hMul", "Lean.Grind.CommRing.Expr.mul", "eq_false", "Lean.Grind.CommRing.Expr.var", "congrArg", "Std.IsLinearPreorder.toIsPreorder", "Classical.byContradiction", "Lean.Grin...
Mathlib.Linter.linter.upstreamableDecl.private
Mathlib.Tactic.Linter.UpstreamableDecl
[ "Inhabited.default", "instInhabitedBool", "Lean.Option", "Lean.instInhabitedOption", "Bool" ]
QuadraticMap.proj_apply
Mathlib.LinearAlgebra.QuadraticForm.Basic
[ "Pi.Function.module", "QuadraticMap.proj", "Pi.addCommMonoid", "HMul.hMul", "CommSemiring.toSemiring", "DistribMulAction.toDistribSMul", "IsScalarTower", "AddMonoid.toAddZeroClass", "NonUnitalNonAssocSemiring.toDistribSMul", "AddZeroClass.toAddZero", "DistribSMul.toSMulZeroClass", "QuadraticMa...
UInt8.xor_right_inj
Init.Data.UInt.Bitwise
[ "BitVec.instXorOp", "congrArg", "BitVec", "instOfNatNat", "UInt8.toBitVec", "iff_self", "UInt8.toBitVec_xor", "BitVec.xor_right_inj._simp_1", "Iff", "Nat", "congr", "True", "HXor.hXor", "of_eq_true", "_private.Init.Data.UInt.Bitwise.0.UInt8.xor_right_inj._simp_1_1", "instXorOpUInt8", ...
_private.Lean.Meta.Tactic.Grind.AC.Seq.0.Lean.Grind.AC.instInhabitedStartsWithResult
Lean.Meta.Tactic.Grind.AC.Seq
[ "_private.Lean.Meta.Tactic.Grind.AC.Seq.0.Lean.Grind.AC.StartsWithResult", "_private.Lean.Meta.Tactic.Grind.AC.Seq.0.Lean.Grind.AC.instInhabitedStartsWithResult.default", "Inhabited", "Inhabited.mk" ]
AbsoluteValue.casesOn
Mathlib.Algebra.Order.AbsoluteValue.Basic
[ "MulHom", "PartialOrder.toPreorder", "NonUnitalNonAssocSemiring.toMulZeroClass", "Preorder.toLE", "PartialOrder", "Distrib.toAdd", "LE.le", "instHAdd", "MulHom.toFun", "Iff", "Distrib.toMul", "HAdd.hAdd", "NonAssocSemiring.toNonUnitalNonAssocSemiring", "Semiring", "NonUnitalNonAssocSemir...
Aesop.GoalId.mk
Aesop.Tree.Data
[ "Aesop.GoalId", "Nat", "Aesop.GoalId.mk" ]
CovariantDerivative.finite_affine_combination._proof_3
Mathlib.Geometry.Manifold.VectorBundle.CovariantDerivative.Basic
[ "CovariantDerivative.isCovariantDerivativeOn", "CovariantDerivative.finite_affine_combination._proof_1", "NormedCommRing.toNormedRing", "NormedCommRing.toSeminormedCommRing", "instHSMul", "Pi.addCommMonoid", "NormedRing.toRing", "NormedSpace", "ContinuousSMul", "CovariantDerivative.toFun", "Fibe...
Lean.mkPropEq
Lean.Expr
[ "Lean.mkApp2", "Lean.Expr", "_private.Lean.Expr.0.Lean.propEq" ]
Lean.Elab.Term.elabWaitIfContainsMVar._regBuiltin.Lean.Elab.Term.elabWaitIfContainsMVar_1
Lean.Elab.BuiltinTerm
[ "Lean.Elab.Term.TermElab", "IO", "Lean.Elab.Term.termElabAttribute", "Unit", "Lean.Elab.Term.elabWaitIfContainsMVar", "Lean.Name.mkStr4", "Lean.KeyedDeclsAttribute.addBuiltin" ]
CochainComplex.HomComplex.δ_comp_zero_cochain
Mathlib.Algebra.Homology.HomotopyCategory.HomComplex
[ "Units.instMulAction", "instHSMul", "CochainComplex.HomComplex.instAddCommGroupCochain", "CochainComplex.HomComplex.Cochain.comp", "congrArg", "AddCommGroup.toAddCommMonoid", "CochainComplex.HomComplex.δ_comp._proof_1", "AddMonoid.toAddZeroClass", "AddGroupWithOne.toAddMonoidWithOne", "Units.instS...
Metric.instMetricSpaceInductiveLimit._proof_3
Mathlib.Topology.MetricSpace.Gluing
[ "SeparationQuotient.instMetricSpace._proof_2", "Real", "Real.instZero", "Dist.mk", "SeparationQuotient.instDist", "PseudoMetricSpace.toUniformSpace", "PseudoEMetricSpace.toPseudoMetricSpaceOfDist._proof_1", "EMetricSpace.toPseudoEMetricSpace", "Metric.InductiveLimit", "instOfNatNat", "Metric.ins...
CompTriple.instIsIdId
Mathlib.Logic.Function.CompTypeclasses
[ "id", "CompTriple.IsId.mk", "rfl", "CompTriple.IsId" ]
SimpleGraph.Walk.support_concat
Mathlib.Combinatorics.SimpleGraph.Walks.Operations
[ "congrArg", "List.concat", "SimpleGraph.Adj", "SimpleGraph.Walk.support", "SimpleGraph.Walk", "SimpleGraph.Walk.concat", "List.concat_eq_append", "List.cons", "SimpleGraph", "SimpleGraph.Walk.cons", "instHAppendOfAppend", "List", "SimpleGraph.Walk.nil", "SimpleGraph.Walk.rec", "congr", ...
CategoryTheory.Limits.pullbackConeOfRightIso_π_app_none
Mathlib.CategoryTheory.Limits.Shapes.Pullback.Iso
[ "CategoryTheory.Limits.Cone.π", "CategoryTheory.Functor", "CategoryTheory.IsIso", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "congrArg", "CategoryTheory.Functor.category", "CategoryTheory.Limits.WidePullbackShape.category", "CategoryTheory.Limits.PullbackCone.fst", "CategoryTheory.Lim...
List.Vector.snoc.eq_1
Mathlib.Data.Vector.Snoc
[ "List.Vector", "instOfNatNat", "List.Vector.instHAppendHAddNat", "instHAdd", "HAdd.hAdd", "Nat", "instAddNat", "Eq.refl", "List.Vector.nil", "List.Vector.snoc", "OfNat.ofNat", "Nat.succ", "Eq", "HAppend.hAppend", "List.Vector.cons" ]
Finsupp.equivMapDomain.eq_1
Mathlib.Data.Finsupp.Basic
[ "Finsupp.instFunLike", "Equiv.instEquivLike", "Finsupp.support", "Finset.map", "Finsupp.mk", "Finsupp.equivMapDomain", "Equiv", "Finsupp.equivMapDomain._proof_3", "Equiv.toEmbedding", "Eq.refl", "Equiv.symm", "Eq", "DFunLike.coe", "Finsupp", "EquivLike.toFunLike", "Zero" ]
SemiRingCat.limitSemiring._aux_4
Mathlib.Algebra.Category.Ring.Limits
[ "NonAssocSemiring.toAddCommMonoidWithOne", "SemiRingCat.instConcreteCategoryRingHomCarrier", "CategoryTheory.Functor", "Equiv.instEquivLike", "CategoryTheory.Limits.Types.Small.limitCone", "AddMonoid.toAddZeroClass", "CategoryTheory.Functor.comp", "RingHom", "AddZeroClass.toAddZero", "Set.Elem", ...
AlgHom.ext
Mathlib.Algebra.Algebra.Hom
[ "AlgHom", "DFunLike.ext", "AlgHom.funLike", "Algebra", "CommSemiring", "Semiring", "Eq", "DFunLike.coe" ]
Associated.instIsTrans
Mathlib.Algebra.GroupWithZero.Associated
[ "Monoid", "IsTrans.mk", "Associated.trans", "IsTrans", "Associated" ]
IsFiniteLength.brecOn
Mathlib.RingTheory.FiniteLength
[ "IsFiniteLength.rec", "Submodule", "Submodule.Quotient.addCommGroup", "AddCommGroup.toAddCommMonoid", "IsFiniteLength.below.of_simple_quotient", "IsFiniteLength.below", "Submodule.hasQuotient", "Membership.mem", "AddCommGroup", "Subtype", "IsSimpleModule", "Submodule.module", "Submodule.Quot...
Int.ModEq.of_mul_right
Mathlib.Data.Int.ModEq
[ "NonUnitalNonAssocCommRing.toNonUnitalNonAssocCommSemiring", "Int.ModEq.of_mul_left", "NonUnitalCommRing.toNonUnitalNonAssocCommRing", "HMul.hMul", "CommRing.toNonUnitalCommRing", "Eq.rec", "CommMagma.toMul", "Int", "Int.instMul", "Int.instCommRing", "Int.ModEq", "NonUnitalNonAssocCommSemiring...
_private.Mathlib.AlgebraicGeometry.StructureSheaf.0.AlgebraicGeometry.StructureSheaf.toBasicOpenₗ_surjective._simp_1_1
Mathlib.AlgebraicGeometry.StructureSheaf
[ "SetLike", "HasSubset.Subset", "LE.le", "LE", "SetLike.coe_subset_coe", "IsConcreteLE", "SetLike.coe", "propext", "Eq.symm", "Eq", "Set.instHasSubset", "Set" ]
Std.Notify.wait
Std.Sync.Notify
[ "Pure.pure", "_private.Std.Sync.Notify.0.Std.Notify.wait.match_1", "Task", "Except.ok", "IO.Promise.new", "instMonadExceptOfMonadExceptOf", "IO.instMonadLiftSTRealWorldBaseIO", "modify", "Monad.toApplicative", "Std.Notify.State", "Std.Notify.Consumer", "Std.Notify.State.consumers", "MonadExc...
_private.Mathlib.CategoryTheory.Bicategory.CatEnriched.0.CategoryTheory.CatEnriched.hComp_id._simp_1_1
Mathlib.CategoryTheory.Bicategory.CatEnriched
[ "heq_eq_eq", "HEq", "Eq.symm", "Eq" ]
Matrix.mulVec_surjective_iff_isUnit
Mathlib.LinearAlgebra.Matrix.NonsingularInverse
[ "Eq.mpr", "NonAssocSemiring.toAddCommMonoidWithOne", "MulOne.toOne", "CommRing", "NonUnitalCommRing.toNonUnitalNonAssocCommRing", "HMul.hMul", "CommRing.toNonUnitalCommRing", "Monoid.toMulOneClass", "congrArg", "CommSemiring.toSemiring", "Matrix", "Matrix.instHMulOfFintypeOfMulOfAddCommMonoid"...
_private.Mathlib.Data.Nat.Factorization.PrimePow.0.isPrimePow_iff_card_primeFactors_eq_one._simp_1_2
Mathlib.Data.Nat.Factorization.PrimePow
[ "Nat.instMulZeroClass", "Finset", "Finsupp.support", "Nat.support_factorization", "Nat", "Nat.primeFactors", "Eq.symm", "Eq", "Nat.factorization", "MulZeroClass.toZero" ]
CategoryTheory.Bicategory.Pseudofunctor.ofLaxFunctorToLocallyGroupoid._proof_4
Mathlib.CategoryTheory.Bicategory.LocallyGroupoid
[ "CategoryTheory.IsIso", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "CategoryTheory.Bicategory.toCategoryStruct", "CategoryTheory.IsGroupoid.all_isIso", "CategoryTheory.PrelaxFunctor.toPrelaxFunctorStruct", "CategoryTheory.LaxFunctor.toPrelaxFunctor", "CategoryTheory.Bicategory", "Prefun...
StrictConvexSpace.of_norm_add_ne_two
Mathlib.Analysis.Convex.StrictConvexSpace
[ "Norm.norm", "Eq.mpr", "NonAssocSemiring.toAddCommMonoidWithOne", "MulOne.toOne", "Real.partialOrder", "Real.instLE", "Real", "DivInvMonoid.toInv", "instHSMul", "instHDiv", "NonUnitalCommRing.toNonUnitalNonAssocCommRing", "GroupWithZero.toDivisionMonoid", "InvOneClass.toOne", "HMul.hMul", ...
Module.injective_of_localization_maximal
Mathlib.RingTheory.LocalProperties.Injective
[ "LinearMap.restrictScalars.congr_simp", "Eq.mpr", "NonAssocSemiring.toAddCommMonoidWithOne", "Submodule", "IsScalarTower.to_smulCommClass'", "Submodule.module._proof_1", "LocalizedModule.restrictScalars_map_eq", "IsLocalizedModule.mapExtendScalars._proof_5", "LinearEquiv.symm", "CommRing", "Line...
CompHausLike.LocallyConstant.adjunction
Mathlib.Condensed.Discrete.LocallyConstant
[ "CompHausLike.instFinitaryExtensiveOfHasExplicitPullbacksOfInclusions", "CategoryTheory.Functor", "Opposite", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "CompHausLike.HasExplicitFiniteCoproducts", "CategoryTheory.ConcreteCategory.hom", "instMetricSpacePUnit", "ContinuousMap", "instInd...
Int.subNatNat_sub
Init.Data.Int.Lemmas
[ "Eq.mpr", "Int.subNatNat_add_add", "congrArg", "HSub.hSub", "id", "instSubNat", "Int", "LE.le", "instLENat", "instHAdd", "instHSub", "Nat.sub_add_cancel", "HAdd.hAdd", "Int.subNatNat", "Nat", "instAddNat", "Eq.refl", "Eq.symm", "Eq" ]
Manifold.«_aux_Mathlib_Geometry_Manifold_Notation___elabRules_Manifold_termHasMFDerivAt%_______1»
Mathlib.Geometry.Manifold.Notation
[ "Lean.TSyntax", "Lean.Elab.Term.TermElab", "Lean.instMonadExceptOfExceptionCoreM", "Lean.Elab.Term.elabTerm", "Lean.Elab.Term.instMonadTermElabM", "ReaderT", "Lean.Meta.State", "Lean.Syntax.isOfKind", "instMonadLiftT", "Lean.TSyntax.mk", "Lean.Syntax", "Lean.Name.mkStr3", "Lean.TSyntax.raw",...
Ordinal.veblen_left_monotone
Mathlib.SetTheory.Ordinal.Veblen
[ "Ordinal.veblen", "Ordinal.omega0", "Ordinal.partialOrder", "PartialOrder.toPreorder", "Monotone", "Ordinal.isNormal_opow", "HPow.hPow", "instHPow", "Ordinal.instPow", "Ordinal.one_lt_omega0", "Ordinal.veblenWith_left_monotone", "Ordinal" ]
Ideal.primeHeight_eq_ringKrullDim_iff
Mathlib.RingTheory.Ideal.Height
[ "CommRing", "WithBot.some", "WithBot", "CommSemiring.toSemiring", "FiniteRingKrullDim", "IsLocalRing.maximalIdeal", "Ideal.isMaximal_of_primeHeight_eq_ringKrullDim", "IsLocalRing", "Ideal", "Ideal.primeHeight", "CommRing.toCommSemiring", "Iff", "ENat", "IsLocalRing.maximalIdeal_primeHeight...
Aesop.EqualUpToIdsM.Context._sizeOf_1
Aesop.Util.EqualUpToIds
[ "Aesop.EqualUpToIdsM.Context.rec", "Option._sizeOf_inst", "Lean.MetavarContext", "instOfNatNat", "instHAdd", "HAdd.hAdd", "Nat", "SizeOf.sizeOf", "Bool", "Aesop.EqualUpToIdsM.Context", "instAddNat", "OfNat.ofNat", "Bool._sizeOf_inst", "Lean.MetavarContext._sizeOf_inst", "Option" ]
CategoryTheory.Lax.LaxTrans.StrongCore.mk.inj
Mathlib.CategoryTheory.Bicategory.NaturalTransformation.Lax
[ "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "CategoryTheory.Lax.LaxTrans.naturality", "CategoryTheory.Iso", "CategoryTheory.Bicategory.toCategoryStruct", "CategoryTheory.Lax.LaxTrans.StrongCore.mk.noConfusion", "CategoryTheory.PrelaxFunctor.toPrelaxFunctorStruct", "CategoryTheory.Lax.LaxTr...
Lean.Meta.Grind.CnstrRHS.mk.inj
Lean.Meta.Tactic.Grind.Extension
[ "Lean.Meta.Grind.CnstrRHS", "Lean.Meta.Grind.CnstrRHS.mk", "Lean.Meta.Grind.CnstrRHS.mk.noConfusion", "Lean.Expr", "Array", "And", "Nat", "And.intro", "Lean.Name", "Eq" ]
_private.Batteries.Data.List.Lemmas.0.List.getElem_idxsOf_lt._proof_1_11
Batteries.Data.List.Lemmas
[ "List.idxsOf", "Lean.Grind.CommRing.le_norm_expr", "Lean.Grind.instOrderedRingInt", "Lean.RArray.leaf", "Lean.Grind.nestedProof", "Lean.Grind.CommRing.Expr.var", "_private.Batteries.Data.List.Lemmas.0.List.getElem_idxsOf_lt._proof_1_10", "Lean.Grind.Order.le_of_eq_2_k", "Std.IsLinearPreorder.toIsPre...
AddConstMap.instMonoid
Mathlib.Algebra.AddConstMap.Basic
[ "Monoid", "Function.Injective.monoid", "Function.End", "AddConstMap.instPowNat", "AddConstMap", "AddConstMap.instMonoid._proof_3", "AddConstMap.instMonoid._proof_2", "instMonoidEnd", "AddConstMap.instOne", "AddConstMap.instFunLike", "AddConstMap.instMul", "AddConstMap.instMonoid._proof_4", "...
_private.Mathlib.Order.Filter.Basic.0.Filter.frequently_principal._simp_1_2
Mathlib.Order.Filter.Basic
[ "Exists", "propext", "Classical.not_forall", "Eq", "Not" ]
_private.Lean.Elab.Tactic.Induction.0.Lean.Elab.Tactic.ElimApp.evalAlts.applyAltStx
Lean.Elab.Tactic.Induction
[ "Pure.pure", "Lean.instMonadEnvOfMonadLift", "Lean.mkNullNode", "_private.Lean.Elab.Tactic.Induction.0.Lean.Elab.Tactic.evalAlt", "Lean.MessageData", "Lean.MonadError.mk", "Lean.MVarId.withContext", "Lean.instMonadExceptOfExceptionCoreM", "Lean.Elab.Term.Context.mayPostpone", "bne", "Lean.Elab.T...
Finset.compls_inter
Mathlib.Data.Finset.Sups
[ "BooleanAlgebra", "Compl.compl", "Finset", "Finset.compls", "Function.Embedding.mk", "BooleanAlgebra.toCompl", "compl_injective", "Inter.inter", "Finset.instInter", "Eq", "Finset.map_inter", "DecidableEq" ]
_private.Mathlib.Analysis.SpecialFunctions.ContinuousFunctionalCalculus.Rpow.IntegralRepresentation.0.CFC.exists_measure_nnrpow_eq_integral_cfcₙ_rpowIntegrand₀₁._proof_1_6
Mathlib.Analysis.SpecialFunctions.ContinuousFunctionalCalculus.Rpow.IntegralRepresentation
[ "False", "Real.partialOrder", "Real.instLE", "Real", "Set.Ici", "NormedSpace", "eq_false", "Lean.Grind.iff_eq", "Real.instZero", "CommSemiring.toSemiring", "NormedSpace.toModule", "Classical.byContradiction", "PartialOrder.toPreorder", "Lean.Grind.eq_false_of_imp_eq_true", "quasispectrum...
AlgebraicGeometry.Scheme.Modules.Hom.mapPresheaf
Mathlib.AlgebraicGeometry.Modules.Sheaf
[ "AlgebraicGeometry.Scheme", "AlgebraicGeometry.Scheme.Modules.instCategory", "AlgebraicGeometry.PresheafedSpace.carrier", "CategoryTheory.CategoryStruct.toQuiver", "AddCommGrpCat.instCategory", "Quiver.Hom", "CommRingCat", "TopCat.instCategoryPresheaf", "CommRingCat.instCategory", "TopCat.Presheaf...
add_neg_lt_iff_lt_add
Mathlib.Algebra.Order.Group.Unbundled.Basic
[ "AddGroup.toSubtractionMonoid", "Eq.mpr", "NegZeroClass.toNeg", "congrArg", "Iff.rfl", "AddMonoid.toAddZeroClass", "AddRightStrictMono", "AddZeroClass.toAddZero", "id", "SubtractionMonoid.toSubNegZeroMonoid", "SubNegZeroMonoid.toNegZeroClass", "AddGroup.covconv_swap", "instHAdd", "AddGroup...
instHasColimitsCommAlgCat
Mathlib.Algebra.Category.CommAlgCat.Basic
[ "CategoryTheory.instCategoryUnder", "CommRing", "CommRingCat.carrier", "CommRingCat", "instHasColimitsOfSizeUnder", "CommRingCat.instCategory", "CategoryTheory.Equivalence.functor", "CategoryTheory.Under", "CommAlgCat.instCategory", "CategoryTheory.Equivalence.isEquivalence_functor", "CommRingCa...
BitVec.toInt_not
Init.Data.BitVec.Lemmas
[ "instPowNat", "Eq.mpr", "Int.instDiv", "instHDiv", "BitVec.toInt.eq_1", "HMul.hMul", "congrArg", "HSub.hSub", "BitVec", "Int.instDecidableEq", "id", "HDiv.hDiv", "Nat.instMod", "instHMod", "instSubNat", "instMulNat", "instOfNatNat", "Int", "BitVec.toNat", "Int.instNatPow", "N...
CategoryTheory.MorphismProperty.colimitsOfShape_discrete_le_llp_rlp
Mathlib.CategoryTheory.MorphismProperty.LiftingProperty
[ "CategoryTheory.MorphismProperty", "CategoryTheory.MorphismProperty.llp", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "CategoryTheory.MorphismProperty.instCompleteBooleanAlgebra", "CategoryTheory.MorphismProperty.colimitsOfShape_le", "PartialOrder.toPreorder", "Preorder.toLE", "CategoryT...
_private.Lean.Elab.Deriving.Nonempty.0.Lean.Elab.Deriving.initFn._@.Lean.Elab.Deriving.Nonempty.1889502729._hygCtx._hyg.2
Lean.Elab.Deriving.Nonempty
[ "IO", "Lean.Elab.registerDerivingHandler", "Lean.Elab.Deriving.mkNonemptyInstanceHandler", "Unit", "Lean.Name.mkStr1" ]
String.toList.eq_1
Init.Data.String.Basic
[ "String", "Array.toList", "List", "String.toList", "Eq.refl", "Char", "Eq", "String.Internal.toArray" ]
SchwartzMap.evalCLM._proof_3
Mathlib.Analysis.Distribution.SchwartzSpace.Basic
[ "ContinuousLinearMap.toNormedSpace._proof_1", "NormedSpace", "DistribMulAction.toDistribSMul", "AddCommGroup.toAddCommMonoid", "NormedSpace.toModule", "AddMonoid.toAddZeroClass", "PseudoMetricSpace.toUniformSpace", "NormedField.toField", "AddZeroClass.toAddZero", "DistribSMul.toSMulZeroClass", "...