[Merged by Bors] - chore: deprecate `OrderedSMul` by YaelDillies · Pull Request #28817 · leanprover-community/mathlib4

YaelDillies · 2025-08-23T17:55:24Z

I follow the pattern of IsOrderedRing/IsStrictOrderedRing by introducing two analogous typeclasses IsOrderedModule/IsStrictOrderedModule.

depends on: [Merged by Bors] - chore(Algebra/Order/Nonneg/Module): don't import Finset #28851
depends on: [Merged by Bors] - refactor: generalise monotonicity of scalar multiplication to star-semimodules #28852
depends on: [Merged by Bors] - chore(Algebra/Order): move x ⊓ y = (⅟2 : α) • (x + y - |y - x|) #28900
depends on: [Merged by Bors] - chore: generalise OrderedSMul to PosSMulMono/PosSMulStrictMono #28902
depends on: [Merged by Bors] - refactor(Algebra/Order/Module): don't use elim as a field name #29340

github-actions · 2025-08-23T17:56:29Z

PR summary 90c27465cc

Import changes for modified files

Dependency changes

File	Base Count	Head Count	Change
Mathlib.Tactic.LinearCombination.Lemmas	511	474	-37 (-7.24%)
Mathlib.Algebra.Order.Monovary	514	477	-37 (-7.20%)
Mathlib.Algebra.Order.Nonneg.Module	514	478	-36 (-7.00%)
Mathlib.Algebra.Order.Rearrangement	650	634	-16 (-2.46%)
Mathlib.Algebra.Order.Algebra	522	511	-11 (-2.11%)
Mathlib.Data.Real.Embedding	734	724	-10 (-1.36%)
Mathlib.Data.Real.Pointwise	742	738	-4 (-0.54%)
Mathlib.Data.NNReal.Defs	739	736	-3 (-0.41%)
Mathlib.Analysis.RCLike.Basic	1574	1569	-5 (-0.32%)
Mathlib.LinearAlgebra.AffineSpace.Ordered	978	977	-1 (-0.10%)
Mathlib.Analysis.Convex.Star	1033	1032	-1 (-0.10%)
Mathlib.Geometry.Convex.Cone.Basic	1051	1050	-1 (-0.10%)
Mathlib.Geometry.Convex.Cone.Pointed	1053	1052	-1 (-0.09%)
Mathlib.Analysis.Convex.Mul	1070	1069	-1 (-0.09%)
Mathlib.Analysis.Convex.Jensen	1118	1117	-1 (-0.09%)
Mathlib.Algebra.Star.CHSH	1298	1297	-1 (-0.08%)
Mathlib.MeasureTheory.Integral.Bochner.L1	2142	2141	-1 (-0.05%)
Mathlib.MeasureTheory.Integral.Bochner.Basic	2144	2143	-1 (-0.05%)
Mathlib.MeasureTheory.Function.ConditionalExpectation.CondexpL2	2252	2251	-1 (-0.04%)
Mathlib.MeasureTheory.Function.ConditionalExpectation.CondexpL1	2253	2252	-1 (-0.04%)
Mathlib.MeasureTheory.Function.ConditionalExpectation.Basic	2254	2253	-1 (-0.04%)
Mathlib.Probability.Martingale.Basic	2276	2275	-1 (-0.04%)
Mathlib.Analysis.SpecialFunctions.ContinuousFunctionalCalculus.Rpow.IntegralRepresentation	2635	2634	-1 (-0.04%)

Import changes for all files

Files	Import difference
`Mathlib.Algebra.Order.Monovary` `Mathlib.Tactic.LinearCombination.Lemmas`	-37
`Mathlib.Algebra.Order.Nonneg.Module`	-36
`Mathlib.Tactic.LinearCombination` `Mathlib.Tactic.Polyrith`	-23
`Mathlib.Algebra.Order.Rearrangement`	-16
`Mathlib.Algebra.QuadraticDiscriminant` `Mathlib.NumberTheory.EllipticDivisibilitySequence`	-13
`Mathlib.Algebra.Order.Algebra`	-11
`Mathlib.Data.Real.Embedding`	-10
6 files `Mathlib.Analysis.ConstantSpeed` `Mathlib.Analysis.Normed.Group.Tannery` `Mathlib.Analysis.NormedSpace.Normalize` `Mathlib.Analysis.RCLike.Basic` `Mathlib.Analysis.SpecificLimits.RCLike` `Mathlib.Dynamics.BirkhoffSum.NormedSpace`	-5
`Mathlib.Data.Real.Pointwise` `Mathlib.Topology.Algebra.Order.Module`	-4
70 files `Mathlib.Algebra.Order.Chebyshev` `Mathlib.Analysis.Complex.IsIntegral` `Mathlib.Analysis.Normed.Group.Seminorm` `Mathlib.Analysis.Oscillation` `Mathlib.Data.ENNReal.Action` `Mathlib.Data.ENNReal.Basic` `Mathlib.Data.ENNReal.Holder` `Mathlib.Data.ENNReal.Inv` `Mathlib.Data.ENNReal.Lemmas` `Mathlib.Data.ENNReal.Operations` `Mathlib.Data.ENNReal.Order` `Mathlib.Data.ENNReal.Real` `Mathlib.Data.EReal.Basic` `Mathlib.Data.EReal.Inv` `Mathlib.Data.EReal.Operations` `Mathlib.Data.Int.WithZero` `Mathlib.Data.NNReal.Defs` `Mathlib.Data.NNReal.Star` `Mathlib.Data.Real.ConjExponents` `Mathlib.Data.Real.ENatENNReal` `Mathlib.Data.Real.EReal` `Mathlib.GroupTheory.CommutingProbability` `Mathlib.MeasureTheory.OuterMeasure.Defs` `Mathlib.Order.Filter.ENNReal` `Mathlib.Topology.Algebra.Star.Real` `Mathlib.Topology.Bornology.Real` `Mathlib.Topology.Compactness.PseudometrizableLindelof` `Mathlib.Topology.EMetricSpace.Basic` `Mathlib.Topology.EMetricSpace.Defs` `Mathlib.Topology.EMetricSpace.Diam` `Mathlib.Topology.EMetricSpace.Lipschitz` `Mathlib.Topology.EMetricSpace.Paracompact` `Mathlib.Topology.EMetricSpace.Pi` `Mathlib.Topology.Instances.Int` `Mathlib.Topology.Instances.Nat` `Mathlib.Topology.Instances.PNat` `Mathlib.Topology.MetricSpace.Antilipschitz` `Mathlib.Topology.MetricSpace.Basic` `Mathlib.Topology.MetricSpace.Bilipschitz` `Mathlib.Topology.MetricSpace.Bounded` `Mathlib.Topology.MetricSpace.Cauchy` `Mathlib.Topology.MetricSpace.Congruence` `Mathlib.Topology.MetricSpace.Defs` `Mathlib.Topology.MetricSpace.DilationEquiv` `Mathlib.Topology.MetricSpace.Dilation` `Mathlib.Topology.MetricSpace.Equicontinuity` `Mathlib.Topology.MetricSpace.Gluing` `Mathlib.Topology.MetricSpace.Infsep` `Mathlib.Topology.MetricSpace.Isometry` `Mathlib.Topology.MetricSpace.Lipschitz` `Mathlib.Topology.MetricSpace.MetricSeparated` `Mathlib.Topology.MetricSpace.ProperSpace.Lemmas` `Mathlib.Topology.MetricSpace.ProperSpace.Real` `Mathlib.Topology.MetricSpace.ProperSpace` `Mathlib.Topology.MetricSpace.Pseudo.Basic` `Mathlib.Topology.MetricSpace.Pseudo.Constructions` `Mathlib.Topology.MetricSpace.Pseudo.Defs` `Mathlib.Topology.MetricSpace.Pseudo.Lemmas` `Mathlib.Topology.MetricSpace.Pseudo.Pi` `Mathlib.Topology.MetricSpace.Pseudo.Real` `Mathlib.Topology.MetricSpace.Sequences` `Mathlib.Topology.MetricSpace.ShrinkingLemma` `Mathlib.Topology.MetricSpace.Similarity` `Mathlib.Topology.MetricSpace.Ultra.Basic` `Mathlib.Topology.MetricSpace.Ultra.Pi` `Mathlib.Topology.MetricSpace.Ultra.TotallySeparated` `Mathlib.Topology.Metrizable.Basic` `Mathlib.Topology.Metrizable.Real` `Mathlib.Topology.Order.Real` `Mathlib.Topology.UniformSpace.Real`	-3
45 files `Mathlib.AlgebraicTopology.SingularHomology.Basic` `Mathlib.AlgebraicTopology.SingularSet` `Mathlib.AlgebraicTopology.TopologicalSimplex` `Mathlib.Analysis.CStarAlgebra.Classes` `Mathlib.Analysis.Complex.AbelLimit` `Mathlib.Analysis.Complex.Asymptotics` `Mathlib.Analysis.Complex.Basic` `Mathlib.Analysis.Complex.Circle` `Mathlib.Analysis.Complex.HalfPlane` `Mathlib.Analysis.Complex.IntegerCompl` `Mathlib.Analysis.Complex.ReImTopology` `Mathlib.Analysis.Complex.UpperHalfPlane.Basic` `Mathlib.Analysis.SpecialFunctions.Exp` `Mathlib.Analysis.SpecialFunctions.PolynomialExp` `Mathlib.Analysis.SpecialFunctions.Trigonometric.Basic` `Mathlib.Analysis.SpecialFunctions.Trigonometric.Inverse` `Mathlib.Analysis.Subadditive` `Mathlib.Geometry.Manifold.ChartedSpace` `Mathlib.Geometry.Manifold.LocalInvariantProperties` `Mathlib.Geometry.Manifold.Sheaf.Basic` `Mathlib.MeasureTheory.Constructions.BorelSpace.Complex` `Mathlib.MeasureTheory.Measure.Complex` `Mathlib.NumberTheory.NumberField.FinitePlaces` `Mathlib.NumberTheory.NumberField.ProductFormula` `Mathlib.NumberTheory.Padics.Complex` `Mathlib.Topology.Algebra.MetricSpace.Lipschitz` `Mathlib.Topology.Algebra.Ring.Real` `Mathlib.Topology.Algebra.Valued.LocallyCompact` `Mathlib.Topology.Algebra.Valued.NormedValued` `Mathlib.Topology.Compactness.HilbertCubeEmbedding` `Mathlib.Topology.Connected.LocPathConnected` `Mathlib.Topology.Connected.PathComponentOne` `Mathlib.Topology.Connected.PathConnected` `Mathlib.Topology.Homotopy.Basic` `Mathlib.Topology.Homotopy.Equiv` `Mathlib.Topology.Homotopy.HSpaces` `Mathlib.Topology.Instances.AddCircle.Real` `Mathlib.Topology.Instances.CantorSet` `Mathlib.Topology.Instances.Rat` `Mathlib.Topology.Instances.Real.Lemmas` `Mathlib.Topology.Instances.ZMultiples` `Mathlib.Topology.MetricSpace.IsometricSMul` `Mathlib.Topology.Path` `Mathlib.Topology.UniformSpace.CompareReals` `Mathlib.Topology.UnitInterval`	-2
1760 files `Mathlib.Algebra.Algebra.Subalgebra.Centralizer` `Mathlib.Algebra.Algebra.Subalgebra.IsSimpleOrder` `Mathlib.Algebra.Algebra.Subalgebra.Rank` `Mathlib.Algebra.AlgebraicCard` `Mathlib.Algebra.Azumaya.Basic` `Mathlib.Algebra.Azumaya.Defs` `Mathlib.Algebra.Azumaya.Matrix` `Mathlib.Algebra.BrauerGroup.Defs` `Mathlib.Algebra.Category.AlgCat.Limits` `Mathlib.Algebra.Category.BialgCat.Basic` `Mathlib.Algebra.Category.BialgCat.Monoidal` `Mathlib.Algebra.Category.CoalgCat.Basic` `Mathlib.Algebra.Category.CoalgCat.ComonEquivalence` `Mathlib.Algebra.Category.CoalgCat.Monoidal` `Mathlib.Algebra.Category.CommAlgCat.Basic` `Mathlib.Algebra.Category.CommAlgCat.FiniteType` `Mathlib.Algebra.Category.CommAlgCat.Monoidal` `Mathlib.Algebra.Category.CommBialgCat` `Mathlib.Algebra.Category.ContinuousCohomology.Basic` `Mathlib.Algebra.Category.FGModuleCat.Basic` `Mathlib.Algebra.Category.FGModuleCat.Colimits` `Mathlib.Algebra.Category.FGModuleCat.EssentiallySmall` `Mathlib.Algebra.Category.FGModuleCat.Limits` `Mathlib.Algebra.Category.Grp.AB` `Mathlib.Algebra.Category.Grp.Abelian` `Mathlib.Algebra.Category.Grp.EnoughInjectives` `Mathlib.Algebra.Category.Grp.Images` `Mathlib.Algebra.Category.Grp.Injective` `Mathlib.Algebra.Category.Grp.IsFinite` `Mathlib.Algebra.Category.Grp.LargeColimits` `Mathlib.Algebra.Category.Grp.Ulift` `Mathlib.Algebra.Category.HopfAlgCat.Basic` `Mathlib.Algebra.Category.HopfAlgCat.Monoidal` `Mathlib.Algebra.Category.ModuleCat.AB` `Mathlib.Algebra.Category.ModuleCat.Abelian` `Mathlib.Algebra.Category.ModuleCat.Adjunctions` `Mathlib.Algebra.Category.ModuleCat.Biproducts` `Mathlib.Algebra.Category.ModuleCat.ChangeOfRings` `Mathlib.Algebra.Category.ModuleCat.Differentials.Basic` `Mathlib.Algebra.Category.ModuleCat.Differentials.Presheaf` `Mathlib.Algebra.Category.ModuleCat.EnoughInjectives` `Mathlib.Algebra.Category.ModuleCat.ExteriorPower` `Mathlib.Algebra.Category.ModuleCat.Free` `Mathlib.Algebra.Category.ModuleCat.Images` `Mathlib.Algebra.Category.ModuleCat.Limits` `Mathlib.Algebra.Category.ModuleCat.Presheaf.Abelian` `Mathlib.Algebra.Category.ModuleCat.Presheaf.ChangeOfRings` `Mathlib.Algebra.Category.ModuleCat.Presheaf.Colimits` `Mathlib.Algebra.Category.ModuleCat.Presheaf.EpiMono` `Mathlib.Algebra.Category.ModuleCat.Presheaf.Free` `Mathlib.Algebra.Category.ModuleCat.Presheaf.Generator` `Mathlib.Algebra.Category.ModuleCat.Presheaf.Limits` `Mathlib.Algebra.Category.ModuleCat.Presheaf.Monoidal` `Mathlib.Algebra.Category.ModuleCat.Presheaf.Pullback` `Mathlib.Algebra.Category.ModuleCat.Presheaf.Pushforward` `Mathlib.Algebra.Category.ModuleCat.Presheaf.Sheafification` `Mathlib.Algebra.Category.ModuleCat.Presheaf.Sheafify` `Mathlib.Algebra.Category.ModuleCat.Presheaf` `Mathlib.Algebra.Category.ModuleCat.Products` `Mathlib.Algebra.Category.ModuleCat.Projective` `Mathlib.Algebra.Category.ModuleCat.Pseudofunctor` `Mathlib.Algebra.Category.ModuleCat.Sheaf.Abelian` `Mathlib.Algebra.Category.ModuleCat.Sheaf.ChangeOfRings` `Mathlib.Algebra.Category.ModuleCat.Sheaf.Colimits` `Mathlib.Algebra.Category.ModuleCat.Sheaf.Free` `Mathlib.Algebra.Category.ModuleCat.Sheaf.Generators` `Mathlib.Algebra.Category.ModuleCat.Sheaf.Limits` `Mathlib.Algebra.Category.ModuleCat.Sheaf.PullbackContinuous` `Mathlib.Algebra.Category.ModuleCat.Sheaf.PushforwardContinuous` `Mathlib.Algebra.Category.ModuleCat.Sheaf.Quasicoherent` `Mathlib.Algebra.Category.ModuleCat.Sheaf` `Mathlib.Algebra.Category.ModuleCat.Simple` `Mathlib.Algebra.Category.ModuleCat.Topology.Basic` `Mathlib.Algebra.Category.ModuleCat.Topology.Homology` `Mathlib.Algebra.Category.Ring.Constructions` `Mathlib.Algebra.Category.Ring.Epi` `Mathlib.Algebra.Category.Ring.FinitePresentation` `Mathlib.Algebra.Category.Ring.Instances` `Mathlib.Algebra.Category.Ring.LinearAlgebra` `Mathlib.Algebra.Category.Ring.Topology` `Mathlib.Algebra.Category.Ring.Under.Basic` `Mathlib.Algebra.Category.Ring.Under.Limits` `Mathlib.Algebra.Central.TensorProduct` `Mathlib.Algebra.CharP.LinearMaps` `Mathlib.Algebra.CharP.LocalRing` `Mathlib.Algebra.CharP.MixedCharZero` `Mathlib.Algebra.Colimit.Finiteness` `Mathlib.Algebra.Colimit.Module` `Mathlib.Algebra.Colimit.TensorProduct` `Mathlib.Algebra.CubicDiscriminant` `Mathlib.Algebra.DirectSum.Algebra` `Mathlib.Algebra.DirectSum.Decomposition` `Mathlib.Algebra.DirectSum.Finsupp` `Mathlib.Algebra.DirectSum.Idempotents` `Mathlib.Algebra.DirectSum.Internal` `Mathlib.Algebra.DirectSum.LinearMap` `Mathlib.Algebra.DirectSum.Module` `Mathlib.Algebra.DualQuaternion` `Mathlib.Algebra.GCDMonoid.IntegrallyClosed` `Mathlib.Algebra.Group.UniqueProds.VectorSpace` `Mathlib.Algebra.Homology.ConcreteCategory` `Mathlib.Algebra.Homology.DerivedCategory.Ext.EnoughInjectives` `Mathlib.Algebra.Homology.DerivedCategory.Ext.EnoughProjectives` `Mathlib.Algebra.Homology.DerivedCategory.Ext.ExactSequences` `Mathlib.Algebra.Homology.LocalCohomology` `Mathlib.Algebra.Homology.ShortComplex.Ab` `Mathlib.Algebra.Homology.ShortComplex.ConcreteCategory` `Mathlib.Algebra.Homology.ShortComplex.ModuleCat` `Mathlib.Algebra.Jordan.Basic` `Mathlib.Algebra.Lie.Abelian` `Mathlib.Algebra.Lie.BaseChange` `Mathlib.Algebra.Lie.CartanExists` `Mathlib.Algebra.Lie.CartanMatrix` `Mathlib.Algebra.Lie.CartanSubalgebra` `Mathlib.Algebra.Lie.Character` `Mathlib.Algebra.Lie.Classical` `Mathlib.Algebra.Lie.Derivation.AdjointAction` `Mathlib.Algebra.Lie.Derivation.Basic` `Mathlib.Algebra.Lie.Derivation.Killing` `Mathlib.Algebra.Lie.DirectSum` `Mathlib.Algebra.Lie.EngelSubalgebra` `Mathlib.Algebra.Lie.Engel` `Mathlib.Algebra.Lie.Extension` `Mathlib.Algebra.Lie.Free` `Mathlib.Algebra.Lie.IdealOperations` `Mathlib.Algebra.Lie.Ideal` `Mathlib.Algebra.Lie.InvariantForm` `Mathlib.Algebra.Lie.Killing` `Mathlib.Algebra.Lie.LieTheorem` `Mathlib.Algebra.Lie.Matrix` `Mathlib.Algebra.Lie.Nilpotent` `Mathlib.Algebra.Lie.Normalizer` `Mathlib.Algebra.Lie.OfAssociative` `Mathlib.Algebra.Lie.Quotient` `Mathlib.Algebra.Lie.Rank` `Mathlib.Algebra.Lie.Semisimple.Basic` `Mathlib.Algebra.Lie.Semisimple.Defs` `Mathlib.Algebra.Lie.Semisimple.Lemmas` `Mathlib.Algebra.Lie.SkewAdjoint` `Mathlib.Algebra.Lie.Sl2` `Mathlib.Algebra.Lie.Solvable` `Mathlib.Algebra.Lie.Subalgebra` `Mathlib.Algebra.Lie.Submodule` `Mathlib.Algebra.Lie.TensorProduct` `Mathlib.Algebra.Lie.TraceForm` `Mathlib.Algebra.Lie.UniversalEnveloping` `Mathlib.Algebra.Lie.Weights.Basic` `Mathlib.Algebra.Lie.Weights.Cartan` `Mathlib.Algebra.Lie.Weights.Chain` `Mathlib.Algebra.Lie.Weights.Killing` `Mathlib.Algebra.Lie.Weights.Linear` `Mathlib.Algebra.Lie.Weights.RootSystem` `Mathlib.Algebra.LinearRecurrence` `Mathlib.Algebra.Module.CharacterModule` `Mathlib.Algebra.Module.DedekindDomain` `Mathlib.Algebra.Module.FinitePresentation` `Mathlib.Algebra.Module.GradedModule` `Mathlib.Algebra.Module.Lattice` `Mathlib.Algebra.Module.LinearMap.Polynomial` `Mathlib.Algebra.Module.PID` `Mathlib.Algebra.Module.Presentation.Differentials` `Mathlib.Algebra.Module.Presentation.DirectSum` `Mathlib.Algebra.Module.Presentation.Finite` `Mathlib.Algebra.Module.Presentation.Free` `Mathlib.Algebra.Module.Presentation.RestrictScalars` `Mathlib.Algebra.Module.Projective` `Mathlib.Algebra.Module.SpanRank` `Mathlib.Algebra.Module.Torsion` `Mathlib.Algebra.Module.ZLattice.Basic` `Mathlib.Algebra.Module.ZLattice.Covolume` `Mathlib.Algebra.MonoidAlgebra.Grading` `Mathlib.Algebra.MonoidAlgebra.ToDirectSum` `Mathlib.Algebra.MvPolynomial.Nilpotent` `Mathlib.Algebra.Polynomial.Bivariate` `Mathlib.Algebra.Polynomial.Degree.CardPowDegree` `Mathlib.Algebra.Polynomial.Derivation` `Mathlib.Algebra.Polynomial.Expand` `Mathlib.Algebra.Polynomial.FieldDivision` `Mathlib.Algebra.Polynomial.Homogenize` `Mathlib.Algebra.Polynomial.Identities` `Mathlib.Algebra.Polynomial.Module.AEval` `Mathlib.Algebra.Polynomial.Module.Basic` `Mathlib.Algebra.Polynomial.Module.FiniteDimensional` `Mathlib.Algebra.Polynomial.PartialFractions` `Mathlib.Algebra.Polynomial.SpecificDegree` `Mathlib.Algebra.Polynomial.Splits` `Mathlib.Algebra.QuaternionBasis` `Mathlib.Algebra.Quaternion` `Mathlib.Algebra.Star.CHSH` `Mathlib.Algebra.Symmetrized` `Mathlib.AlgebraicGeometry.AffineScheme` `Mathlib.AlgebraicGeometry.AffineSpace` `Mathlib.AlgebraicGeometry.AffineTransitionLimit` `Mathlib.AlgebraicGeometry.Cover.Directed` `Mathlib.AlgebraicGeometry.Cover.MorphismProperty` `Mathlib.AlgebraicGeometry.Cover.Open` `Mathlib.AlgebraicGeometry.Cover.Over` `Mathlib.AlgebraicGeometry.Cover.Sigma` `Mathlib.AlgebraicGeometry.EllipticCurve.Affine.Basic` `Mathlib.AlgebraicGeometry.EllipticCurve.Affine.Formula` `Mathlib.AlgebraicGeometry.EllipticCurve.Affine.Point` `Mathlib.AlgebraicGeometry.EllipticCurve.Affine` `Mathlib.AlgebraicGeometry.EllipticCurve.DivisionPolynomial.Basic` `Mathlib.AlgebraicGeometry.EllipticCurve.DivisionPolynomial.Degree` `Mathlib.AlgebraicGeometry.EllipticCurve.Group` `Mathlib.AlgebraicGeometry.EllipticCurve.IsomOfJ` `Mathlib.AlgebraicGeometry.EllipticCurve.Jacobian.Basic` `Mathlib.AlgebraicGeometry.EllipticCurve.Jacobian.Formula` `Mathlib.AlgebraicGeometry.EllipticCurve.Jacobian.Point` `Mathlib.AlgebraicGeometry.EllipticCurve.ModelsWithJ` `Mathlib.AlgebraicGeometry.EllipticCurve.NormalForms` `Mathlib.AlgebraicGeometry.EllipticCurve.Projective.Basic` `Mathlib.AlgebraicGeometry.EllipticCurve.Projective.Formula` `Mathlib.AlgebraicGeometry.EllipticCurve.Projective.Point` `Mathlib.AlgebraicGeometry.EllipticCurve.VariableChange` `Mathlib.AlgebraicGeometry.EllipticCurve.Weierstrass` `Mathlib.AlgebraicGeometry.Fiber` `Mathlib.AlgebraicGeometry.FunctionField` `Mathlib.AlgebraicGeometry.GammaSpecAdjunction` `Mathlib.AlgebraicGeometry.GluingOneHypercover` `Mathlib.AlgebraicGeometry.Gluing` `Mathlib.AlgebraicGeometry.IdealSheaf.Basic` `Mathlib.AlgebraicGeometry.IdealSheaf.Functorial` `Mathlib.AlgebraicGeometry.IdealSheaf.Subscheme` `Mathlib.AlgebraicGeometry.IdealSheaf` `Mathlib.AlgebraicGeometry.Limits` `Mathlib.AlgebraicGeometry.Modules.Presheaf` `Mathlib.AlgebraicGeometry.Modules.Sheaf` `Mathlib.AlgebraicGeometry.Modules.Tilde` `Mathlib.AlgebraicGeometry.Morphisms.AffineAnd` `Mathlib.AlgebraicGeometry.Morphisms.Affine` `Mathlib.AlgebraicGeometry.Morphisms.Basic` `Mathlib.AlgebraicGeometry.Morphisms.ClosedImmersion` `Mathlib.AlgebraicGeometry.Morphisms.Constructors` `Mathlib.AlgebraicGeometry.Morphisms.Descent` `Mathlib.AlgebraicGeometry.Morphisms.Etale` `Mathlib.AlgebraicGeometry.Morphisms.FinitePresentation` `Mathlib.AlgebraicGeometry.Morphisms.FiniteType` `Mathlib.AlgebraicGeometry.Morphisms.Finite` `Mathlib.AlgebraicGeometry.Morphisms.Flat` `Mathlib.AlgebraicGeometry.Morphisms.FormallyUnramified` `Mathlib.AlgebraicGeometry.Morphisms.Immersion` `Mathlib.AlgebraicGeometry.Morphisms.Integral` `Mathlib.AlgebraicGeometry.Morphisms.IsIso` `Mathlib.AlgebraicGeometry.Morphisms.LocalClosure` `Mathlib.AlgebraicGeometry.Morphisms.LocalIso` `Mathlib.AlgebraicGeometry.Morphisms.OpenImmersion` `Mathlib.AlgebraicGeometry.Morphisms.Preimmersion` `Mathlib.AlgebraicGeometry.Morphisms.Proper` `Mathlib.AlgebraicGeometry.Morphisms.QuasiCompact` `Mathlib.AlgebraicGeometry.Morphisms.QuasiSeparated` `Mathlib.AlgebraicGeometry.Morphisms.RingHomProperties` `Mathlib.AlgebraicGeometry.Morphisms.Separated` `Mathlib.AlgebraicGeometry.Morphisms.Smooth` `Mathlib.AlgebraicGeometry.Morphisms.SurjectiveOnStalks` `Mathlib.AlgebraicGeometry.Morphisms.UnderlyingMap` `Mathlib.AlgebraicGeometry.Morphisms.UniversallyClosed` `Mathlib.AlgebraicGeometry.Morphisms.UniversallyInjective` `Mathlib.AlgebraicGeometry.Morphisms.UniversallyOpen` `Mathlib.AlgebraicGeometry.Noetherian` `Mathlib.AlgebraicGeometry.OpenImmersion` `Mathlib.AlgebraicGeometry.Over` `Mathlib.AlgebraicGeometry.PointsPi` `Mathlib.AlgebraicGeometry.ProjectiveSpectrum.Basic` `Mathlib.AlgebraicGeometry.ProjectiveSpectrum.Proper` `Mathlib.AlgebraicGeometry.ProjectiveSpectrum.Scheme` `Mathlib.AlgebraicGeometry.ProjectiveSpectrum.StructureSheaf` `Mathlib.AlgebraicGeometry.ProjectiveSpectrum.Topology` `Mathlib.AlgebraicGeometry.Properties` `Mathlib.AlgebraicGeometry.PullbackCarrier` `Mathlib.AlgebraicGeometry.Pullbacks` `Mathlib.AlgebraicGeometry.RationalMap` `Mathlib.AlgebraicGeometry.ResidueField` `Mathlib.AlgebraicGeometry.Restrict` `Mathlib.AlgebraicGeometry.Scheme` `Mathlib.AlgebraicGeometry.Sites.BigZariski` `Mathlib.AlgebraicGeometry.Sites.Etale` `Mathlib.AlgebraicGeometry.Sites.MorphismProperty` `Mathlib.AlgebraicGeometry.Sites.Representability` `Mathlib.AlgebraicGeometry.Sites.SmallAffineZariski` `Mathlib.AlgebraicGeometry.Sites.Small` `Mathlib.AlgebraicGeometry.Spec` `Mathlib.AlgebraicGeometry.SpreadingOut` `Mathlib.AlgebraicGeometry.Stalk` `Mathlib.AlgebraicGeometry.StructureSheaf` `Mathlib.AlgebraicGeometry.ValuativeCriterion` `Mathlib.Analysis.Analytic.Polynomial` `Mathlib.Analysis.BoundedVariation` `Mathlib.Analysis.BoxIntegral.Basic` `Mathlib.Analysis.BoxIntegral.Box.Basic` `Mathlib.Analysis.BoxIntegral.DivergenceTheorem` `Mathlib.Analysis.BoxIntegral.Integrability` `Mathlib.Analysis.BoxIntegral.Partition.Basic` `Mathlib.Analysis.BoxIntegral.Partition.Measure` `Mathlib.Analysis.BoxIntegral.Partition.Split` `Mathlib.Analysis.BoxIntegral.Partition.Tagged` `Mathlib.Analysis.BoxIntegral.UnitPartition` `Mathlib.Analysis.CStarAlgebra.ApproximateUnit` `Mathlib.Analysis.CStarAlgebra.CStarMatrix` `Mathlib.Analysis.CStarAlgebra.CompletelyPositiveMap` `Mathlib.Analysis.CStarAlgebra.ContinuousFunctionalCalculus.Basic` `Mathlib.Analysis.CStarAlgebra.ContinuousFunctionalCalculus.Continuity` `Mathlib.Analysis.CStarAlgebra.ContinuousFunctionalCalculus.Instances` `Mathlib.Analysis.CStarAlgebra.ContinuousFunctionalCalculus.Integral` `Mathlib.Analysis.CStarAlgebra.ContinuousFunctionalCalculus.Isometric` `Mathlib.Analysis.CStarAlgebra.ContinuousFunctionalCalculus.NonUnital` `Mathlib.Analysis.CStarAlgebra.ContinuousFunctionalCalculus.Order` `Mathlib.Analysis.CStarAlgebra.ContinuousFunctionalCalculus.Pi` `Mathlib.Analysis.CStarAlgebra.ContinuousFunctionalCalculus.Restrict` `Mathlib.Analysis.CStarAlgebra.ContinuousFunctionalCalculus.Unique` `Mathlib.Analysis.CStarAlgebra.ContinuousFunctionalCalculus.Unital` `Mathlib.Analysis.CStarAlgebra.ContinuousFunctionalCalculus.Unitary` `Mathlib.Analysis.CStarAlgebra.ContinuousLinearMap` `Mathlib.Analysis.CStarAlgebra.GelfandDuality` `Mathlib.Analysis.CStarAlgebra.Hom` `Mathlib.Analysis.CStarAlgebra.Matrix` `Mathlib.Analysis.CStarAlgebra.Module.Constructions` `Mathlib.Analysis.CStarAlgebra.Module.Defs` `Mathlib.Analysis.CStarAlgebra.PositiveLinearMap` `Mathlib.Analysis.CStarAlgebra.Projection` `Mathlib.Analysis.CStarAlgebra.SpecialFunctions.PosPart` `Mathlib.Analysis.CStarAlgebra.Spectrum` `Mathlib.Analysis.Calculus.AddTorsor.Coord` `Mathlib.Analysis.Calculus.BumpFunction.Basic` `Mathlib.Analysis.Calculus.BumpFunction.Convolution` `Mathlib.Analysis.Calculus.BumpFunction.FiniteDimension` `Mathlib.Analysis.Calculus.BumpFunction.InnerProduct` `Mathlib.Analysis.Calculus.BumpFunction.Normed` `Mathlib.Analysis.Calculus.BumpFunction.SmoothApprox` `Mathlib.Analysis.Calculus.ContDiff.FiniteDimension` `Mathlib.Analysis.Calculus.Deriv.Abs` `Mathlib.Analysis.Calculus.FDeriv.Measurable` `Mathlib.Analysis.Calculus.FDeriv.Norm` `Mathlib.Analysis.Calculus.Gradient.Basic` `Mathlib.Analysis.Calculus.Implicit` `Mathlib.Analysis.Calculus.InverseFunctionTheorem.FiniteDimensional` `Mathlib.Analysis.Calculus.LineDeriv.IntegrationByParts` `Mathlib.Analysis.Calculus.LineDeriv.Measurable` `Mathlib.Analysis.Calculus.LineDeriv.QuadraticMap` `Mathlib.Analysis.Calculus.LocalExtr.Polynomial` `Mathlib.Analysis.Calculus.Monotone` `Mathlib.Analysis.Calculus.ParametricIntegral` `Mathlib.Analysis.Calculus.ParametricIntervalIntegral` `Mathlib.Analysis.Calculus.Rademacher` `Mathlib.Analysis.Calculus.Taylor` `Mathlib.Analysis.Complex.AbsMax` `Mathlib.Analysis.Complex.Angle` `Mathlib.Analysis.Complex.CauchyIntegral` `Mathlib.Analysis.Complex.Conformal` `Mathlib.Analysis.Complex.Exponential` `Mathlib.Analysis.Complex.Hadamard` `Mathlib.Analysis.Complex.Isometry` `Mathlib.Analysis.Complex.Liouville` `Mathlib.Analysis.Complex.LocallyUniformLimit` `Mathlib.Analysis.Complex.MeanValue` `Mathlib.Analysis.Complex.Norm` `Mathlib.Analysis.Complex.OpenMapping` `Mathlib.Analysis.Complex.OperatorNorm` `Mathlib.Analysis.Complex.Order` `Mathlib.Analysis.Complex.Periodic` `Mathlib.Analysis.Complex.PhragmenLindelof` `Mathlib.Analysis.Complex.Polynomial.Basic` `Mathlib.Analysis.Complex.Polynomial.UnitTrinomial` `Mathlib.Analysis.Complex.Positivity` `Mathlib.Analysis.Complex.RemovableSingularity` `Mathlib.Analysis.Complex.Schwarz` `Mathlib.Analysis.Complex.TaylorSeries` `Mathlib.Analysis.Complex.Tietze` `Mathlib.Analysis.Complex.Trigonometric` `Mathlib.Analysis.Complex.UpperHalfPlane.Exp` `Mathlib.Analysis.Complex.UpperHalfPlane.FunctionsBoundedAtInfty` `Mathlib.Analysis.Complex.UpperHalfPlane.Manifold` `Mathlib.Analysis.Complex.UpperHalfPlane.Metric` `Mathlib.Analysis.Complex.UpperHalfPlane.MoebiusAction` `Mathlib.Analysis.Complex.UpperHalfPlane.Topology` `Mathlib.Analysis.Complex.ValueDistribution.CharacteristicFunction` `Mathlib.Analysis.Complex.ValueDistribution.FirstMainTheorem` `Mathlib.Analysis.Complex.ValueDistribution.ProximityFunction` `Mathlib.Analysis.Convex.AmpleSet` `Mathlib.Analysis.Convex.Basic` `Mathlib.Analysis.Convex.BetweenList` `Mathlib.Analysis.Convex.Between` `Mathlib.Analysis.Convex.Birkhoff` `Mathlib.Analysis.Convex.Caratheodory` `Mathlib.Analysis.Convex.Combination` `Mathlib.Analysis.Convex.Cone.Basic` `Mathlib.Analysis.Convex.Cone.Closure` `Mathlib.Analysis.Convex.Cone.Dual` `Mathlib.Analysis.Convex.Cone.Extension` `Mathlib.Analysis.Convex.Cone.InnerDual` `Mathlib.Analysis.Convex.Continuous` `Mathlib.Analysis.Convex.DoublyStochasticMatrix` `Mathlib.Analysis.Convex.Exposed` `Mathlib.Analysis.Convex.Extreme` `Mathlib.Analysis.Convex.Function` `Mathlib.Analysis.Convex.Hull` `Mathlib.Analysis.Convex.Independent` `Mathlib.Analysis.Convex.Integral` `Mathlib.Analysis.Convex.Intrinsic` `Mathlib.Analysis.Convex.Jensen` `Mathlib.Analysis.Convex.Join` `Mathlib.Analysis.Convex.KreinMilman` `Mathlib.Analysis.Convex.Measure` `Mathlib.Analysis.Convex.Mul` `Mathlib.Analysis.Convex.Piecewise` `Mathlib.Analysis.Convex.Quasiconvex` `Mathlib.Analysis.Convex.Radon` `Mathlib.Analysis.Convex.Segment` `Mathlib.Analysis.Convex.Side` `Mathlib.Analysis.Convex.SimplicialComplex.Basic` `Mathlib.Analysis.Convex.Slope` `Mathlib.Analysis.Convex.Star` `Mathlib.Analysis.Convex.StoneSeparation` `Mathlib.Analysis.Convex.StrictConvexBetween` `Mathlib.Analysis.Convex.Strict` `Mathlib.Analysis.Convex.Visible` `Mathlib.Analysis.Convolution` `Mathlib.Analysis.Distribution.AEEqOfIntegralContDiff` `Mathlib.Analysis.Distribution.FourierSchwartz` `Mathlib.Analysis.Distribution.SchwartzSpace` `Mathlib.Analysis.Fourier.AddCircleMulti` `Mathlib.Analysis.Fourier.AddCircle` `Mathlib.Analysis.Fourier.FiniteAbelian.Orthogonality` `Mathlib.Analysis.Fourier.FiniteAbelian.PontryaginDuality` `Mathlib.Analysis.Fourier.FourierTransformDeriv` `Mathlib.Analysis.Fourier.FourierTransform` `Mathlib.Analysis.Fourier.Inversion` `Mathlib.Analysis.Fourier.PoissonSummation` `Mathlib.Analysis.Fourier.RiemannLebesgueLemma` `Mathlib.Analysis.Fourier.ZMod` `Mathlib.Analysis.FunctionalSpaces.SobolevInequality` `Mathlib.Analysis.InnerProductSpace.Adjoint` `Mathlib.Analysis.InnerProductSpace.Calculus` `Mathlib.Analysis.InnerProductSpace.CanonicalTensor` `Mathlib.Analysis.InnerProductSpace.Dual` `Mathlib.Analysis.InnerProductSpace.EuclideanDist` `Mathlib.Analysis.InnerProductSpace.GramSchmidtOrtho` `Mathlib.Analysis.InnerProductSpace.Harmonic.Analytic` `Mathlib.Analysis.InnerProductSpace.Harmonic.Basic` `Mathlib.Analysis.InnerProductSpace.Harmonic.Constructions` `Mathlib.Analysis.InnerProductSpace.JointEigenspace` `Mathlib.Analysis.InnerProductSpace.Laplacian` `Mathlib.Analysis.InnerProductSpace.LaxMilgram` `Mathlib.Analysis.InnerProductSpace.LinearPMap` `Mathlib.Analysis.InnerProductSpace.MeanErgodic` `Mathlib.Analysis.InnerProductSpace.MulOpposite` `Mathlib.Analysis.InnerProductSpace.NormPow` `Mathlib.Analysis.InnerProductSpace.Orientation` `Mathlib.Analysis.InnerProductSpace.Orthogonal` `Mathlib.Analysis.InnerProductSpace.Orthonormal` `Mathlib.Analysis.InnerProductSpace.PiL2` `Mathlib.Analysis.InnerProductSpace.Positive` `Mathlib.Analysis.InnerProductSpace.ProdL2` `Mathlib.Analysis.InnerProductSpace.Projection.Basic` `Mathlib.Analysis.InnerProductSpace.Projection.FiniteDimensional` `Mathlib.Analysis.InnerProductSpace.Projection.Reflection` `Mathlib.Analysis.InnerProductSpace.Projection.Submodule` `Mathlib.Analysis.InnerProductSpace.Projection` `Mathlib.Analysis.InnerProductSpace.Rayleigh` `Mathlib.Analysis.InnerProductSpace.Semisimple` `Mathlib.Analysis.InnerProductSpace.Spectrum` `Mathlib.Analysis.InnerProductSpace.StarOrder` `Mathlib.Analysis.InnerProductSpace.Subspace` `Mathlib.Analysis.InnerProductSpace.Symmetric` `Mathlib.Analysis.InnerProductSpace.Trace` `Mathlib.Analysis.InnerProductSpace.TwoDim` `Mathlib.Analysis.InnerProductSpace.WeakOperatorTopology` `Mathlib.Analysis.InnerProductSpace.l2Space` `Mathlib.Analysis.LocallyConvex.WeakDual` `Mathlib.Analysis.LocallyConvex.WeakOperatorTopology` `Mathlib.Analysis.LocallyConvex.WeakSpace` `Mathlib.Analysis.Matrix` `Mathlib.Analysis.MellinInversion` `Mathlib.Analysis.MellinTransform` `Mathlib.Analysis.Meromorphic.Complex` `Mathlib.Analysis.Normed.Affine.AddTorsorBases` `Mathlib.Analysis.Normed.Affine.Convex` `Mathlib.Analysis.Normed.Algebra.Basic` `Mathlib.Analysis.Normed.Algebra.MatrixExponential` `Mathlib.Analysis.Normed.Algebra.QuaternionExponential` `Mathlib.Analysis.Normed.Algebra.Spectrum` `Mathlib.Analysis.Normed.Group.Basic` `Mathlib.Analysis.Normed.Group.Bounded` `Mathlib.Analysis.Normed.Group.CocompactMap` `Mathlib.Analysis.Normed.Group.Constructions` `Mathlib.Analysis.Normed.Group.Continuity` `Mathlib.Analysis.Normed.Group.Indicator` `Mathlib.Analysis.Normed.Group.Int` `Mathlib.Analysis.Normed.Group.Rat` `Mathlib.Analysis.Normed.Group.Subgroup` `Mathlib.Analysis.Normed.Group.Submodule` `Mathlib.Analysis.Normed.Module.Complemented` `Mathlib.Analysis.Normed.Module.Dual` `Mathlib.Analysis.Normed.Module.FiniteDimension` `Mathlib.Analysis.Normed.Module.WeakDual` `Mathlib.Analysis.Normed.Order.Basic` `Mathlib.Analysis.Normed.Order.Hom.Basic` `Mathlib.Analysis.Normed.Order.Hom.Ultra` `Mathlib.Analysis.Normed.Unbundled.FiniteExtension` `Mathlib.Analysis.Normed.Unbundled.InvariantExtension` `Mathlib.Analysis.Normed.Unbundled.SpectralNorm` `Mathlib.Analysis.NormedSpace.Connected` `Mathlib.Analysis.NormedSpace.HahnBanach.Extension` `Mathlib.Analysis.NormedSpace.HahnBanach.SeparatingDual` `Mathlib.Analysis.NormedSpace.HahnBanach.Separation` `Mathlib.Analysis.NormedSpace.IndicatorFunction` `Mathlib.Analysis.NormedSpace.MStructure` `Mathlib.Analysis.NormedSpace.MultipliableUniformlyOn` `Mathlib.Analysis.ODE.PicardLindelof` `Mathlib.Analysis.PSeriesComplex` `Mathlib.Analysis.Quaternion` `Mathlib.Analysis.RCLike.Inner` `Mathlib.Analysis.RCLike.Lemmas` `Mathlib.Analysis.Real.Pi.Chudnovsky` `Mathlib.Analysis.Real.Pi.Irrational` `Mathlib.Analysis.Real.Pi.Leibniz` `Mathlib.Analysis.Real.Pi.Wallis` `Mathlib.Analysis.SpecialFunctions.Bernstein` `Mathlib.Analysis.SpecialFunctions.Complex.Analytic` `Mathlib.Analysis.SpecialFunctions.Complex.Arctan` `Mathlib.Analysis.SpecialFunctions.Complex.CircleAddChar` `Mathlib.Analysis.SpecialFunctions.Complex.LogBounds` `Mathlib.Analysis.SpecialFunctions.ContinuousFunctionalCalculus.ExpLog` `Mathlib.Analysis.SpecialFunctions.ContinuousFunctionalCalculus.PosPart.Basic` `Mathlib.Analysis.SpecialFunctions.ContinuousFunctionalCalculus.PosPart.Isometric` `Mathlib.Analysis.SpecialFunctions.ContinuousFunctionalCalculus.Rpow.Basic` `Mathlib.Analysis.SpecialFunctions.ContinuousFunctionalCalculus.Rpow.IntegralRepresentation` `Mathlib.Analysis.SpecialFunctions.ContinuousFunctionalCalculus.Rpow.Isometric` `Mathlib.Analysis.SpecialFunctions.Gamma.Basic` `Mathlib.Analysis.SpecialFunctions.Gamma.Beta` `Mathlib.Analysis.SpecialFunctions.Gamma.BohrMollerup` `Mathlib.Analysis.SpecialFunctions.Gamma.Deligne` `Mathlib.Analysis.SpecialFunctions.Gamma.Deriv` `Mathlib.Analysis.SpecialFunctions.Gaussian.FourierTransform` `Mathlib.Analysis.SpecialFunctions.Gaussian.GaussianIntegral` `Mathlib.Analysis.SpecialFunctions.Gaussian.PoissonSummation` `Mathlib.Analysis.SpecialFunctions.ImproperIntegrals` `Mathlib.Analysis.SpecialFunctions.Integrability.Basic` `Mathlib.Analysis.SpecialFunctions.Integrability.LogMeromorphic` `Mathlib.Analysis.SpecialFunctions.Integrals.Basic` `Mathlib.Analysis.SpecialFunctions.Integrals.LogTrigonometric` `Mathlib.Analysis.SpecialFunctions.Integrals.PosLogEqCircleAverage` `Mathlib.Analysis.SpecialFunctions.JapaneseBracket` `Mathlib.Analysis.SpecialFunctions.Log.ERealExp` `Mathlib.Analysis.SpecialFunctions.Log.Summable` `Mathlib.Analysis.SpecialFunctions.MulExpNegMulSqIntegral` `Mathlib.Analysis.SpecialFunctions.NonIntegrable` `Mathlib.Analysis.SpecialFunctions.PolarCoord` `Mathlib.Analysis.SpecialFunctions.Pow.Integral` `Mathlib.Analysis.SpecialFunctions.Stirling` `Mathlib.Analysis.SpecialFunctions.Trigonometric.Cotangent` `Mathlib.Analysis.SpecialFunctions.Trigonometric.EulerSineProd` `Mathlib.Analysis.SumIntegralComparisons` `Mathlib.Analysis.SumOverResidueClass` `Mathlib.Analysis.VonNeumannAlgebra.Basic` `Mathlib.CategoryTheory.Abelian.Ext` `Mathlib.CategoryTheory.Abelian.FreydMitchell` `Mathlib.CategoryTheory.Abelian.GrothendieckCategory.ModuleEmbedding.GabrielPopescu` `Mathlib.CategoryTheory.Abelian.GrothendieckCategory.ModuleEmbedding.Opposite` `Mathlib.CategoryTheory.Abelian.Injective.Basic` `Mathlib.CategoryTheory.Abelian.Projective.Basic` `Mathlib.CategoryTheory.Abelian.Projective.Dimension` `Mathlib.CategoryTheory.Abelian.Yoneda` `Mathlib.CategoryTheory.Preadditive.HomOrthogonal` `Mathlib.CategoryTheory.Preadditive.Schur` `Mathlib.CategoryTheory.Preadditive.Yoneda.Limits` `Mathlib.CategoryTheory.Sites.MayerVietorisSquare` `Mathlib.CategoryTheory.Sites.SheafCohomology.Basic` `Mathlib.CategoryTheory.Triangulated.Yoneda` `Mathlib.Combinatorics.Additive.AP.Three.Behrend` `Mathlib.Combinatorics.Additive.ErdosGinzburgZiv` `Mathlib.Combinatorics.Additive.Randomisation` `Mathlib.Combinatorics.Configuration` `Mathlib.Combinatorics.Extremal.RuzsaSzemeredi` `Mathlib.Combinatorics.Nullstellensatz` `Mathlib.Combinatorics.SimpleGraph.LapMatrix` `Mathlib.Data.Complex.Exponential` `Mathlib.Data.Complex.Trigonometric` `Mathlib.Data.ENNReal.BigOperators` `Mathlib.Data.NNReal.Basic` `Mathlib.Data.Nat.Choose.Lucas` `Mathlib.Data.Nat.PowModTotient` `Mathlib.Data.Rat.NatSqrt.Real` `Mathlib.Data.Real.CompleteField` `Mathlib.Data.Real.GoldenRatio` `Mathlib.Data.Real.Irrational` `Mathlib.Data.Real.Pi.Irrational` `Mathlib.Data.Real.Pi.Leibniz` `Mathlib.Data.Real.Pi.Wallis` `Mathlib.Data.Real.Sqrt` `Mathlib.Data.Real.StarOrdered` `Mathlib.Data.ZMod.Coprime` `Mathlib.Data.ZMod.QuotientRing` `Mathlib.Dynamics.Ergodic.Action.OfMinimal` `Mathlib.Dynamics.Ergodic.AddCircleAdd` `Mathlib.Dynamics.Ergodic.AddCircle` `Mathlib.Dynamics.Ergodic.Extreme` `Mathlib.Dynamics.Ergodic.RadonNikodym` `Mathlib.Dynamics.Newton` `Mathlib.FieldTheory.AbelRuffini` `Mathlib.FieldTheory.AbsoluteGaloisGroup` `Mathlib.FieldTheory.AlgebraicClosure` `Mathlib.FieldTheory.AxGrothendieck` `Mathlib.FieldTheory.CardinalEmb` `Mathlib.FieldTheory.Cardinality` `Mathlib.FieldTheory.ChevalleyWarning` `Mathlib.FieldTheory.Differential.Basic` `Mathlib.FieldTheory.Differential.Liouville` `Mathlib.FieldTheory.Extension` `Mathlib.FieldTheory.Finite.Basic` `Mathlib.FieldTheory.Finite.GaloisField` `Mathlib.FieldTheory.Finite.Polynomial` `Mathlib.FieldTheory.Finite.Trace` `Mathlib.FieldTheory.Finiteness` `Mathlib.FieldTheory.Fixed` `Mathlib.FieldTheory.Galois.Basic` `Mathlib.FieldTheory.Galois.GaloisClosure` `Mathlib.FieldTheory.Galois.Infinite` `Mathlib.FieldTheory.Galois.IsGaloisGroup` `Mathlib.FieldTheory.Galois.Profinite` `Mathlib.FieldTheory.IntermediateField.Adjoin.Algebra` `Mathlib.FieldTheory.IntermediateField.Adjoin.Basic` `Mathlib.FieldTheory.IntermediateField.Algebraic` `Mathlib.FieldTheory.IsAlgClosed.AlgebraicClosure` `Mathlib.FieldTheory.IsAlgClosed.Basic` `Mathlib.FieldTheory.IsAlgClosed.Classification` `Mathlib.FieldTheory.IsAlgClosed.Spectrum` `Mathlib.FieldTheory.IsPerfectClosure` `Mathlib.FieldTheory.IsSepClosed` `Mathlib.FieldTheory.Isaacs` `Mathlib.FieldTheory.JacobsonNoether` `Mathlib.FieldTheory.KrullTopology` `Mathlib.FieldTheory.KummerExtension` `Mathlib.FieldTheory.KummerPolynomial` `Mathlib.FieldTheory.Laurent` `Mathlib.FieldTheory.LinearDisjoint` `Mathlib.FieldTheory.Minpoly.Basic` `Mathlib.FieldTheory.Minpoly.ConjRootClass` `Mathlib.FieldTheory.Minpoly.Field` `Mathlib.FieldTheory.Minpoly.IsConjRoot` `Mathlib.FieldTheory.Minpoly.IsIntegrallyClosed` `Mathlib.FieldTheory.Minpoly.MinpolyDiv` `Mathlib.FieldTheory.MvRatFunc.Rank` `Mathlib.FieldTheory.Normal.Basic` `Mathlib.FieldTheory.Normal.Closure` `Mathlib.FieldTheory.Normal.Defs` `Mathlib.FieldTheory.NormalizedTrace` `Mathlib.FieldTheory.PerfectClosure` `Mathlib.FieldTheory.Perfect` `Mathlib.FieldTheory.PolynomialGaloisGroup` `Mathlib.FieldTheory.PrimitiveElement` `Mathlib.FieldTheory.PurelyInseparable.Basic` `Mathlib.FieldTheory.PurelyInseparable.Exponent` `Mathlib.FieldTheory.PurelyInseparable.PerfectClosure` `Mathlib.FieldTheory.PurelyInseparable.Tower` `Mathlib.FieldTheory.RatFunc.AsPolynomial` `Mathlib.FieldTheory.RatFunc.Basic` `Mathlib.FieldTheory.RatFunc.Degree` `Mathlib.FieldTheory.Relrank` `Mathlib.FieldTheory.SeparableClosure` `Mathlib.FieldTheory.SeparableDegree` `Mathlib.FieldTheory.Separable` `Mathlib.FieldTheory.SplittingField.Construction` `Mathlib.FieldTheory.SplittingField.IsSplittingField` `Mathlib.FieldTheory.Tower` `Mathlib.Geometry.Convex.Cone.Basic` `Mathlib.Geometry.Convex.Cone.Dual` `Mathlib.Geometry.Convex.Cone.Pointed` `Mathlib.Geometry.Euclidean.Altitude` `Mathlib.Geometry.Euclidean.Angle.Oriented.Affine` `Mathlib.Geometry.Euclidean.Angle.Oriented.Basic` `Mathlib.Geometry.Euclidean.Angle.Oriented.RightAngle` `Mathlib.Geometry.Euclidean.Angle.Oriented.Rotation` `Mathlib.Geometry.Euclidean.Angle.Sphere` `Mathlib.Geometry.Euclidean.Angle.Unoriented.Affine` `Mathlib.Geometry.Euclidean.Angle.Unoriented.Basic` `Mathlib.Geometry.Euclidean.Angle.Unoriented.Conformal` `Mathlib.Geometry.Euclidean.Angle.Unoriented.CrossProduct` `Mathlib.Geometry.Euclidean.Angle.Unoriented.RightAngle` `Mathlib.Geometry.Euclidean.Basic` `Mathlib.Geometry.Euclidean.Circumcenter` `Mathlib.Geometry.Euclidean.Congruence` `Mathlib.Geometry.Euclidean.Incenter` `Mathlib.Geometry.Euclidean.Inversion.Calculus` `Mathlib.Geometry.Euclidean.Inversion.ImageHyperplane` `Mathlib.Geometry.Euclidean.MongePoint` `Mathlib.Geometry.Euclidean.PerpBisector` `Mathlib.Geometry.Euclidean.Projection` `Mathlib.Geometry.Euclidean.SignedDist` `Mathlib.Geometry.Euclidean.Simplex` `Mathlib.Geometry.Euclidean.Sphere.Basic` `Mathlib.Geometry.Euclidean.Sphere.Power` `Mathlib.Geometry.Euclidean.Sphere.Ptolemy` `Mathlib.Geometry.Euclidean.Sphere.SecondInter` `Mathlib.Geometry.Euclidean.Sphere.Tangent` `Mathlib.Geometry.Euclidean.Triangle` `Mathlib.Geometry.Manifold.Algebra.LeftInvariantDerivation` `Mathlib.Geometry.Manifold.Algebra.LieGroup` `Mathlib.Geometry.Manifold.Algebra.Monoid` `Mathlib.Geometry.Manifold.Algebra.SmoothFunctions` `Mathlib.Geometry.Manifold.Algebra.Structures` `Mathlib.Geometry.Manifold.Bordism` `Mathlib.Geometry.Manifold.BumpFunction` `Mathlib.Geometry.Manifold.Complex` `Mathlib.Geometry.Manifold.ContMDiff.Atlas` `Mathlib.Geometry.Manifold.ContMDiff.Basic` `Mathlib.Geometry.Manifold.ContMDiff.Constructions` `Mathlib.Geometry.Manifold.ContMDiff.Defs` `Mathlib.Geometry.Manifold.ContMDiff.NormedSpace` `Mathlib.Geometry.Manifold.ContMDiffMFDeriv` `Mathlib.Geometry.Manifold.ContMDiffMap` `Mathlib.Geometry.Manifold.DerivationBundle` `Mathlib.Geometry.Manifold.Diffeomorph` `Mathlib.Geometry.Manifold.GroupLieAlgebra` `Mathlib.Geometry.Manifold.Instances.Icc` `Mathlib.Geometry.Manifold.Instances.Real` `Mathlib.Geometry.Manifold.Instances.Sphere` `Mathlib.Geometry.Manifold.Instances.UnitsOfNormedAlgebra` `Mathlib.Geometry.Manifold.IntegralCurve.Basic` `Mathlib.Geometry.Manifold.IntegralCurve.ExistUnique` `Mathlib.Geometry.Manifold.IntegralCurve.Transform` `Mathlib.Geometry.Manifold.IntegralCurve.UniformTime` `Mathlib.Geometry.Manifold.IsManifold.ExtChartAt` `Mathlib.Geometry.Manifold.IsManifold.InteriorBoundary` `Mathlib.Geometry.Manifold.LocalDiffeomorph` `Mathlib.Geometry.Manifold.MFDeriv.Atlas` `Mathlib.Geometry.Manifold.MFDeriv.Basic` `Mathlib.Geometry.Manifold.MFDeriv.Defs` `Mathlib.Geometry.Manifold.MFDeriv.FDeriv` `Mathlib.Geometry.Manifold.MFDeriv.NormedSpace` `Mathlib.Geometry.Manifold.MFDeriv.SpecificFunctions` `Mathlib.Geometry.Manifold.MFDeriv.Tangent` `Mathlib.Geometry.Manifold.MFDeriv.UniqueDifferential` `Mathlib.Geometry.Manifold.Metrizable` `Mathlib.Geometry.Manifold.PartitionOfUnity` `Mathlib.Geometry.Manifold.PoincareConjecture` `Mathlib.Geometry.Manifold.Riemannian.Basic` `Mathlib.Geometry.Manifold.Riemannian.PathELength` `Mathlib.Geometry.Manifold.Sheaf.LocallyRingedSpace` `Mathlib.Geometry.Manifold.Sheaf.Smooth` `Mathlib.Geometry.Manifold.VectorBundle.Basic` `Mathlib.Geometry.Manifold.VectorBundle.FiberwiseLinear` `Mathlib.Geometry.Manifold.VectorBundle.Hom` `Mathlib.Geometry.Manifold.VectorBundle.MDifferentiable` `Mathlib.Geometry.Manifold.VectorBundle.Pullback` `Mathlib.Geometry.Manifold.VectorBundle.Riemannian` `Mathlib.Geometry.Manifold.VectorBundle.SmoothSection` `Mathlib.Geometry.Manifold.VectorBundle.Tangent` `Mathlib.Geometry.Manifold.VectorField.LieBracket` `Mathlib.Geometry.Manifold.VectorField.Pullback` `Mathlib.Geometry.Manifold.WhitneyEmbedding` `Mathlib.Geometry.RingedSpace.LocallyRingedSpace.HasColimits` `Mathlib.Geometry.RingedSpace.LocallyRingedSpace.ResidueField` `Mathlib.Geometry.RingedSpace.LocallyRingedSpace` `Mathlib.Geometry.RingedSpace.OpenImmersion` `Mathlib.Geometry.RingedSpace.PresheafedSpace.Gluing` `Mathlib.GroupTheory.CosetCover` `Mathlib.GroupTheory.FiniteAbelian.Basic` `Mathlib.GroupTheory.FiniteAbelian.Duality` `Mathlib.GroupTheory.FreeGroup.GeneratorEquiv` `Mathlib.GroupTheory.SpecificGroups.ZGroup` `Mathlib.InformationTheory.Hamming` `Mathlib.InformationTheory.KullbackLeibler.Basic` `Mathlib.InformationTheory.KullbackLeibler.KLFun` `Mathlib.LinearAlgebra.AffineSpace.Basis` `Mathlib.LinearAlgebra.AffineSpace.FiniteDimensional` `Mathlib.LinearAlgebra.AffineSpace.Independent` `Mathlib.LinearAlgebra.AffineSpace.Matrix` `Mathlib.LinearAlgebra.AffineSpace.Ordered` `Mathlib.LinearAlgebra.AffineSpace.Simplex.Basic` `Mathlib.LinearAlgebra.AffineSpace.Simplex.Centroid` `Mathlib.LinearAlgebra.AnnihilatingPolynomial` `Mathlib.LinearAlgebra.Basis.MulOpposite` `Mathlib.LinearAlgebra.Basis.VectorSpace` `Mathlib.LinearAlgebra.BilinearForm.DualLattice` `Mathlib.LinearAlgebra.BilinearForm.Orthogonal` `Mathlib.LinearAlgebra.BilinearForm.Properties` `Mathlib.LinearAlgebra.BilinearForm.TensorProduct` `Mathlib.LinearAlgebra.Charpoly.BaseChange` `Mathlib.LinearAlgebra.Charpoly.Basic` `Mathlib.LinearAlgebra.Charpoly.ToMatrix` `Mathlib.LinearAlgebra.CliffordAlgebra.BaseChange` `Mathlib.LinearAlgebra.CliffordAlgebra.Basic` `Mathlib.LinearAlgebra.CliffordAlgebra.CategoryTheory` `Mathlib.LinearAlgebra.CliffordAlgebra.Conjugation` `Mathlib.LinearAlgebra.CliffordAlgebra.Contraction` `Mathlib.LinearAlgebra.CliffordAlgebra.Equivs` `Mathlib.LinearAlgebra.CliffordAlgebra.EvenEquiv` `Mathlib.LinearAlgebra.CliffordAlgebra.Even` `Mathlib.LinearAlgebra.CliffordAlgebra.Fold` `Mathlib.LinearAlgebra.CliffordAlgebra.Grading` `Mathlib.LinearAlgebra.CliffordAlgebra.Inversion` `Mathlib.LinearAlgebra.CliffordAlgebra.Prod` `Mathlib.LinearAlgebra.CliffordAlgebra.SpinGroup` `Mathlib.LinearAlgebra.CliffordAlgebra.Star` `Mathlib.LinearAlgebra.Coevaluation` `Mathlib.LinearAlgebra.Complex.Determinant` `Mathlib.LinearAlgebra.Complex.FiniteDimensional` `Mathlib.LinearAlgebra.Complex.Module` `Mathlib.LinearAlgebra.Complex.Orientation` `Mathlib.LinearAlgebra.Contraction` `Mathlib.LinearAlgebra.CrossProduct` `Mathlib.LinearAlgebra.DFinsupp` `Mathlib.LinearAlgebra.Determinant` `Mathlib.LinearAlgebra.Dimension.Constructions` `Mathlib.LinearAlgebra.Dimension.DivisionRing` `Mathlib.LinearAlgebra.Dimension.ErdosKaplansky` `Mathlib.LinearAlgebra.Dimension.Finite` `Mathlib.LinearAlgebra.Dimension.FreeAndStrongRankCondition` `Mathlib.LinearAlgebra.Dimension.Free` `Mathlib.LinearAlgebra.Dimension.LinearMap` `Mathlib.LinearAlgebra.Dimension.Localization` `Mathlib.LinearAlgebra.Dimension.RankNullity` `Mathlib.LinearAlgebra.Dimension.StrongRankCondition` `Mathlib.LinearAlgebra.Dimension.Torsion.Basic` `Mathlib.LinearAlgebra.Dimension.Torsion.Finite` `Mathlib.LinearAlgebra.DirectSum.Basis` `Mathlib.LinearAlgebra.DirectSum.Finite` `Mathlib.LinearAlgebra.DirectSum.Finsupp` `Mathlib.LinearAlgebra.DirectSum.TensorProduct` `Mathlib.LinearAlgebra.Dual.Lemmas` `Mathlib.LinearAlgebra.Eigenspace.Basic` `Mathlib.LinearAlgebra.Eigenspace.Matrix` `Mathlib.LinearAlgebra.Eigenspace.Minpoly` `Mathlib.LinearAlgebra.Eigenspace.Pi` `Mathlib.LinearAlgebra.Eigenspace.Semisimple` `Mathlib.LinearAlgebra.Eigenspace.Triangularizable` `Mathlib.LinearAlgebra.Eigenspace.Zero` `Mathlib.LinearAlgebra.ExteriorAlgebra.Basic` `Mathlib.LinearAlgebra.ExteriorAlgebra.Grading` `Mathlib.LinearAlgebra.ExteriorAlgebra.OfAlternating` `Mathlib.LinearAlgebra.ExteriorPower.Basic` `Mathlib.LinearAlgebra.ExteriorPower.Pairing` `Mathlib.LinearAlgebra.FiniteDimensional.Basic` `Mathlib.LinearAlgebra.FiniteDimensional.Defs` `Mathlib.LinearAlgebra.FiniteDimensional.Lemmas` `Mathlib.LinearAlgebra.Finsupp.VectorSpace` `Mathlib.LinearAlgebra.FreeAlgebra` `Mathlib.LinearAlgebra.FreeModule.Determinant` `Mathlib.LinearAlgebra.FreeModule.Finite.Basic` `Mathlib.LinearAlgebra.FreeModule.Finite.CardQuotient` `Mathlib.LinearAlgebra.FreeModule.Finite.Matrix` `Mathlib.LinearAlgebra.FreeModule.Finite.Quotient` `Mathlib.LinearAlgebra.FreeModule.IdealQuotient` `Mathlib.LinearAlgebra.FreeModule.Int` `Mathlib.LinearAlgebra.FreeModule.ModN` `Mathlib.LinearAlgebra.FreeModule.Norm` `Mathlib.LinearAlgebra.FreeModule.PID` `Mathlib.LinearAlgebra.FreeModule.StrongRankCondition` `Mathlib.LinearAlgebra.FreeProduct.Basic` `Mathlib.LinearAlgebra.InvariantBasisNumber` `Mathlib.LinearAlgebra.JordanChevalley` `Mathlib.LinearAlgebra.Lagrange` `Mathlib.LinearAlgebra.LinearDisjoint` `Mathlib.LinearAlgebra.LinearIndependent.Lemmas` `Mathlib.LinearAlgebra.Matrix.BaseChange` `Mathlib.LinearAlgebra.Matrix.Basis` `Mathlib.LinearAlgebra.Matrix.BilinearForm` `Mathlib.LinearAlgebra.Matrix.Block` `Mathlib.LinearAlgebra.Matrix.Charpoly.Basic` `Mathlib.LinearAlgebra.Matrix.Charpoly.Coeff` `Mathlib.LinearAlgebra.Matrix.Charpoly.Disc` `Mathlib.LinearAlgebra.Matrix.Charpoly.Eigs` `Mathlib.LinearAlgebra.Matrix.Charpoly.FiniteField` `Mathlib.LinearAlgebra.Matrix.Charpoly.LinearMap` `Mathlib.LinearAlgebra.Matrix.Charpoly.Minpoly` `Mathlib.LinearAlgebra.Matrix.Charpoly.Univ` `Mathlib.LinearAlgebra.Matrix.Diagonal` `Mathlib.LinearAlgebra.Matrix.Dual` `Mathlib.LinearAlgebra.Matrix.FiniteDimensional` `Mathlib.LinearAlgebra.Matrix.FixedDetMatrices` `Mathlib.LinearAlgebra.Matrix.GeneralLinearGroup.Basic` `Mathlib.LinearAlgebra.Matrix.GeneralLinearGroup.Card` `Mathlib.LinearAlgebra.Matrix.GeneralLinearGroup.Defs` `Mathlib.LinearAlgebra.Matrix.GeneralLinearGroup.FinTwo` `Mathlib.LinearAlgebra.Matrix.Gershgorin` `Mathlib.LinearAlgebra.Matrix.HermitianFunctionalCalculus` `Mathlib.LinearAlgebra.Matrix.Hermitian` `Mathlib.LinearAlgebra.Matrix.Ideal` `Mathlib.LinearAlgebra.Matrix.InvariantBasisNumber` `Mathlib.LinearAlgebra.Matrix.LDL` `Mathlib.LinearAlgebra.Matrix.NonsingularInverse` `Mathlib.LinearAlgebra.Matrix.Permutation` `Mathlib.LinearAlgebra.Matrix.PosDef` `Mathlib.LinearAlgebra.Matrix.ProjectiveSpecialLinearGroup` `Mathlib.LinearAlgebra.Matrix.Rank` `Mathlib.LinearAlgebra.Matrix.SchurComplement` `Mathlib.LinearAlgebra.Matrix.SesquilinearForm` `Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup` `Mathlib.LinearAlgebra.Matrix.Spectrum` `Mathlib.LinearAlgebra.Matrix.StdBasis` `Mathlib.LinearAlgebra.Matrix.Swap` `Mathlib.LinearAlgebra.Matrix.ToLin` `Mathlib.LinearAlgebra.Matrix.ToLinearEquiv` `Mathlib.LinearAlgebra.Matrix.ZPow` `Mathlib.LinearAlgebra.Multilinear.DFinsupp` `Mathlib.LinearAlgebra.Multilinear.FiniteDimensional` `Mathlib.LinearAlgebra.Orientation` `Mathlib.LinearAlgebra.PID` `Mathlib.LinearAlgebra.PerfectPairing.Basic` `Mathlib.LinearAlgebra.PerfectPairing.Matrix` `Mathlib.LinearAlgebra.PerfectPairing.Restrict` `Mathlib.LinearAlgebra.Projectivization.Action` `Mathlib.LinearAlgebra.Projectivization.Basic` `Mathlib.LinearAlgebra.Projectivization.Cardinality` `Mathlib.LinearAlgebra.Projectivization.Constructions` `Mathlib.LinearAlgebra.Projectivization.Independence` `Mathlib.LinearAlgebra.Projectivization.Subspace` `Mathlib.LinearAlgebra.QuadraticForm.Basic` `Mathlib.LinearAlgebra.QuadraticForm.Basis` `Mathlib.LinearAlgebra.QuadraticForm.Complex` `Mathlib.LinearAlgebra.QuadraticForm.Dual` `Mathlib.LinearAlgebra.QuadraticForm.IsometryEquiv` `Mathlib.LinearAlgebra.QuadraticForm.Isometry` `Mathlib.LinearAlgebra.QuadraticForm.Prod` `Mathlib.LinearAlgebra.QuadraticForm.QuadraticModuleCat.Monoidal` `Mathlib.LinearAlgebra.QuadraticForm.QuadraticModuleCat.Symmetric` `Mathlib.LinearAlgebra.QuadraticForm.QuadraticModuleCat` `Mathlib.LinearAlgebra.QuadraticForm.Real` `Mathlib.LinearAlgebra.QuadraticForm.TensorProduct.Isometries` `Mathlib.LinearAlgebra.QuadraticForm.TensorProduct` `Mathlib.LinearAlgebra.Ray` `Mathlib.LinearAlgebra.Reflection` `Mathlib.LinearAlgebra.RootSystem.BaseChange` `Mathlib.LinearAlgebra.RootSystem.Base` `Mathlib.LinearAlgebra.RootSystem.Basic` `Mathlib.LinearAlgebra.RootSystem.CartanMatrix` `Mathlib.LinearAlgebra.RootSystem.Chain` `Mathlib.LinearAlgebra.RootSystem.Defs` `Mathlib.LinearAlgebra.RootSystem.Finite.CanonicalBilinear` `Mathlib.LinearAlgebra.RootSystem.Finite.G2` `Mathlib.LinearAlgebra.RootSystem.Finite.Lemmas` `Mathlib.LinearAlgebra.RootSystem.Finite.Nondegenerate` `Mathlib.LinearAlgebra.RootSystem.GeckConstruction.Basic` `Mathlib.LinearAlgebra.RootSystem.GeckConstruction.Lemmas` `Mathlib.LinearAlgebra.RootSystem.GeckConstruction.Relations` `Mathlib.LinearAlgebra.RootSystem.GeckConstruction.Semisimple` `Mathlib.LinearAlgebra.RootSystem.Hom` `Mathlib.LinearAlgebra.RootSystem.Irreducible` `Mathlib.LinearAlgebra.RootSystem.IsValuedIn` `Mathlib.LinearAlgebra.RootSystem.OfBilinear` `Mathlib.LinearAlgebra.RootSystem.Reduced` `Mathlib.LinearAlgebra.RootSystem.RootPairingCat` `Mathlib.LinearAlgebra.RootSystem.RootPositive` `Mathlib.LinearAlgebra.RootSystem.WeylGroup` `Mathlib.LinearAlgebra.Semisimple` `Mathlib.LinearAlgebra.SesquilinearForm` `Mathlib.LinearAlgebra.StdBasis` `Mathlib.LinearAlgebra.SymmetricAlgebra.Basis` `Mathlib.LinearAlgebra.SymplecticGroup` `Mathlib.LinearAlgebra.TensorAlgebra.Basis` `Mathlib.LinearAlgebra.TensorAlgebra.Grading` `Mathlib.LinearAlgebra.TensorAlgebra.ToTensorPower` `Mathlib.LinearAlgebra.TensorPower.Basic` `Mathlib.LinearAlgebra.TensorPower.Pairing` `Mathlib.LinearAlgebra.TensorProduct.Basis` `Mathlib.LinearAlgebra.TensorProduct.DirectLimit` `Mathlib.LinearAlgebra.TensorProduct.Finiteness` `Mathlib.LinearAlgebra.TensorProduct.Graded.External` `Mathlib.LinearAlgebra.TensorProduct.Graded.Internal` `Mathlib.LinearAlgebra.TensorProduct.Matrix` `Mathlib.LinearAlgebra.TensorProduct.Subalgebra` `Mathlib.LinearAlgebra.TensorProduct.Submodule` `Mathlib.LinearAlgebra.TensorProduct.Vanishing` `Mathlib.LinearAlgebra.Trace` `Mathlib.LinearAlgebra.UnitaryGroup` `Mathlib.LinearAlgebra.Vandermonde` `Mathlib.MeasureTheory.Constructions.BorelSpace.ContinuousLinearMap` `Mathlib.MeasureTheory.Constructions.HaarToSphere` `Mathlib.MeasureTheory.Constructions.UnitInterval` `Mathlib.MeasureTheory.Covering.BesicovitchVectorSpace` `Mathlib.MeasureTheory.Covering.Besicovitch` `Mathlib.MeasureTheory.Covering.DensityTheorem` `Mathlib.MeasureTheory.Covering.Differentiation` `Mathlib.MeasureTheory.Covering.LiminfLimsup` `Mathlib.MeasureTheory.Covering.OneDim` `Mathlib.MeasureTheory.Function.AEEqFun.DomAct` `Mathlib.MeasureTheory.Function.AEEqOfIntegral` `Mathlib.MeasureTheory.Function.ConditionalExpectation.AEMeasurable` `Mathlib.MeasureTheory.Function.ConditionalExpectation.Basic` `Mathlib.MeasureTheory.Function.ConditionalExpectation.CondexpL1` `Mathlib.MeasureTheory.Function.ConditionalExpectation.CondexpL2` `Mathlib.MeasureTheory.Function.ConditionalExpectation.Indicator` `Mathlib.MeasureTheory.Function.ConditionalExpectation.Real` `Mathlib.MeasureTheory.Function.ConditionalExpectation.Unique` `Mathlib.MeasureTheory.Function.ContinuousMapDense` `Mathlib.MeasureTheory.Function.FactorsThrough` `Mathlib.MeasureTheory.Function.Holder` `Mathlib.MeasureTheory.Function.Intersectivity` `Mathlib.MeasureTheory.Function.JacobianOneDim` `Mathlib.MeasureTheory.Function.Jacobian` `Mathlib.MeasureTheory.Function.L1Space.AEEqFun` `Mathlib.MeasureTheory.Function.L1Space.Integrable` `Mathlib.MeasureTheory.Function.L2Space` `Mathlib.MeasureTheory.Function.LocallyIntegrable` `Mathlib.MeasureTheory.Function.LpSpace.ContinuousCompMeasurePreserving` `Mathlib.MeasureTheory.Function.LpSpace.DomAct.Basic` `Mathlib.MeasureTheory.Function.LpSpace.DomAct.Continuous` `Mathlib.MeasureTheory.Function.SimpleFuncDenseLp` `Mathlib.MeasureTheory.Function.SpecialFunctions.RCLike` `Mathlib.MeasureTheory.Function.SpecialFunctions.Sinc` `Mathlib.MeasureTheory.Function.StronglyMeasurable.Lemmas` `Mathlib.MeasureTheory.Function.StronglyMeasurable.Lp` `Mathlib.MeasureTheory.Function.UnifTight` `Mathlib.MeasureTheory.Function.UniformIntegrable` `Mathlib.MeasureTheory.Group.AddCircle` `Mathlib.MeasureTheory.Group.FundamentalDomain` `Mathlib.MeasureTheory.Group.GeometryOfNumbers` `Mathlib.MeasureTheory.Group.IntegralConvolution` `Mathlib.MeasureTheory.Group.Integral` `Mathlib.MeasureTheory.Group.ModularCharacter` `Mathlib.MeasureTheory.Integral.Asymptotics` `Mathlib.MeasureTheory.Integral.Average` `Mathlib.MeasureTheory.Integral.Bochner.Basic` `Mathlib.MeasureTheory.Integral.Bochner.ContinuousLinearMap` `Mathlib.MeasureTheory.Integral.Bochner.FundThmCalculus` `Mathlib.MeasureTheory.Integral.Bochner.L1` `Mathlib.MeasureTheory.Integral.Bochner.Set` `Mathlib.MeasureTheory.Integral.Bochner.VitaliCaratheodory` `Mathlib.MeasureTheory.Integral.BochnerL1` `Mathlib.MeasureTheory.Integral.Bochner` `Mathlib.MeasureTheory.Integral.BoundedContinuousFunction` `Mathlib.MeasureTheory.Integral.CircleAverage` `Mathlib.MeasureTheory.Integral.CircleIntegral` `Mathlib.MeasureTheory.Integral.CircleTransform` `Mathlib.MeasureTheory.Integral.DivergenceTheorem` `Mathlib.MeasureTheory.Integral.DominatedConvergence` `Mathlib.MeasureTheory.Integral.ExpDecay` `Mathlib.MeasureTheory.Integral.FinMeasAdditive` `Mathlib.MeasureTheory.Integral.FundThmCalculus` `Mathlib.MeasureTheory.Integral.Gamma` `Mathlib.MeasureTheory.Integral.IntegrableOn` `Mathlib.MeasureTheory.Integral.IntegralEqImproper` `Mathlib.MeasureTheory.Integral.IntegrationByParts` `Mathlib.MeasureTheory.Integral.IntervalAverage` `Mathlib.MeasureTheory.Integral.IntervalIntegral.Basic` `Mathlib.MeasureTheory.Integral.IntervalIntegral.ContDiff` `Mathlib.MeasureTheory.Integral.IntervalIntegral.FundThmCalculus` `Mathlib.MeasureTheory.Integral.IntervalIntegral.IntegrationByParts` `Mathlib.MeasureTheory.Integral.IntervalIntegral.Periodic` `Mathlib.MeasureTheory.Integral.IntervalIntegral` `Mathlib.MeasureTheory.Integral.Layercake` `Mathlib.MeasureTheory.Integral.PeakFunction` `Mathlib.MeasureTheory.Integral.Periodic` `Mathlib.MeasureTheory.Integral.Pi` `Mathlib.MeasureTheory.Integral.Prod` `Mathlib.MeasureTheory.Integral.RieszMarkovKakutani.NNReal` `Mathlib.MeasureTheory.Integral.RieszMarkovKakutani.Real` `Mathlib.MeasureTheory.Integral.SetIntegral` `Mathlib.MeasureTheory.Integral.SetToL1` `Mathlib.MeasureTheory.Integral.TorusIntegral` `Mathlib.MeasureTheory.Integral.VitaliCaratheodory` `Mathlib.MeasureTheory.Measure.CharacteristicFunction` `Mathlib.MeasureTheory.Measure.Decomposition.IntegralRNDeriv` `Mathlib.MeasureTheory.Measure.Decomposition.RadonNikodym` `Mathlib.MeasureTheory.Measure.DiracProba` `Mathlib.MeasureTheory.Measure.FiniteMeasureExt` `Mathlib.MeasureTheory.Measure.FiniteMeasurePi` `Mathlib.MeasureTheory.Measure.FiniteMeasureProd` `Mathlib.MeasureTheory.Measure.FiniteMeasure` `Mathlib.MeasureTheory.Measure.Haar.Disintegration` `Mathlib.MeasureTheory.Measure.Haar.DistribChar` `Mathlib.MeasureTheory.Measure.Haar.InnerProductSpace` `Mathlib.MeasureTheory.Measure.Haar.MulEquivHaarChar` `Mathlib.MeasureTheory.Measure.Haar.NormedSpace` `Mathlib.MeasureTheory.Measure.Haar.OfBasis` `Mathlib.MeasureTheory.Measure.Haar.Quotient` `Mathlib.MeasureTheory.Measure.Haar.Unique` `Mathlib.MeasureTheory.Measure.HasOuterApproxClosed` `Mathlib.MeasureTheory.Measure.Hausdorff` `Mathlib.MeasureTheory.Measure.IntegralCharFun` `Mathlib.MeasureTheory.Measure.Lebesgue.Basic` `Mathlib.MeasureTheory.Measure.Lebesgue.Complex` `Mathlib.MeasureTheory.Measure.Lebesgue.EqHaar` `Mathlib.MeasureTheory.Measure.Lebesgue.Integral` `Mathlib.MeasureTheory.Measure.Lebesgue.VolumeOfBalls` `Mathlib.MeasureTheory.Measure.LevyProkhorovMetric` `Mathlib.MeasureTheory.Measure.LogLikelihoodRatio` `Mathlib.MeasureTheory.Measure.Portmanteau` `Mathlib.MeasureTheory.Measure.ProbabilityMeasure` `Mathlib.MeasureTheory.Measure.SeparableMeasure` `Mathlib.MeasureTheory.Measure.TightNormed` `Mathlib.MeasureTheory.Measure.Tilted` `Mathlib.MeasureTheory.Order.UpperLower` `Mathlib.MeasureTheory.OuterMeasure.AE` `Mathlib.MeasureTheory.OuterMeasure.Basic` `Mathlib.MeasureTheory.OuterMeasure.BorelCantelli` `Mathlib.MeasureTheory.OuterMeasure.Operations` `Mathlib.MeasureTheory.SpecificCodomains.ContinuousMapZero` `Mathlib.MeasureTheory.SpecificCodomains.ContinuousMap` `Mathlib.MeasureTheory.SpecificCodomains.Pi` `Mathlib.MeasureTheory.SpecificCodomains.WithLp` `Mathlib.MeasureTheory.VectorMeasure.Decomposition.Lebesgue` `Mathlib.MeasureTheory.VectorMeasure.Decomposition.RadonNikodym` `Mathlib.MeasureTheory.VectorMeasure.WithDensity` `Mathlib.ModelTheory.Algebra.Field.IsAlgClosed` `Mathlib.ModelTheory.Algebra.Ring.Definability` `Mathlib.NumberTheory.AbelSummation` `Mathlib.NumberTheory.BernoulliPolynomials` `Mathlib.NumberTheory.Bernoulli` `Mathlib.NumberTheory.ClassNumber.AdmissibleCardPowDegree` `Mathlib.NumberTheory.ClassNumber.Finite` `Mathlib.NumberTheory.ClassNumber.FunctionField` `Mathlib.NumberTheory.Cyclotomic.Basic` `Mathlib.NumberTheory.Cyclotomic.CyclotomicCharacter` `Mathlib.NumberTheory.Cyclotomic.Discriminant` `Mathlib.NumberTheory.Cyclotomic.Embeddings` `Mathlib.NumberTheory.Cyclotomic.Gal` `Mathlib.NumberTheory.Cyclotomic.PID` `Mathlib.NumberTheory.Cyclotomic.PrimitiveRoots` `Mathlib.NumberTheory.Cyclotomic.Rat` `Mathlib.NumberTheory.Cyclotomic.Three` `Mathlib.NumberTheory.Dioph` `Mathlib.NumberTheory.DiophantineApproximation.Basic` `Mathlib.NumberTheory.DiophantineApproximation.ContinuedFractions` `Mathlib.NumberTheory.DirichletCharacter.Bounds` `Mathlib.NumberTheory.DirichletCharacter.GaussSum` `Mathlib.NumberTheory.DirichletCharacter.Orthogonality` `Mathlib.NumberTheory.EulerProduct.DirichletLSeries` `Mathlib.NumberTheory.EulerProduct.ExpLog` `Mathlib.NumberTheory.FLT.Basic` `Mathlib.NumberTheory.FLT.Four` `Mathlib.NumberTheory.FLT.MasonStothers` `Mathlib.NumberTheory.FLT.Polynomial` `Mathlib.NumberTheory.FLT.Three` `Mathlib.NumberTheory.FermatPsp` `Mathlib.NumberTheory.Fermat` `Mathlib.NumberTheory.FunctionField` `Mathlib.NumberTheory.GaussSum` `Mathlib.NumberTheory.Harmonic.Bounds` `Mathlib.NumberTheory.Harmonic.GammaDeriv` `Mathlib.NumberTheory.Harmonic.ZetaAsymp` `Mathlib.NumberTheory.JacobiSum.Basic` `Mathlib.NumberTheory.KummerDedekind` `Mathlib.NumberTheory.LSeries.AbstractFuncEq` `Mathlib.NumberTheory.LSeries.Basic` `Mathlib.NumberTheory.LSeries.Convergence` `Mathlib.NumberTheory.LSeries.Convolution` `Mathlib.NumberTheory.LSeries.Deriv` `Mathlib.NumberTheory.LSeries.DirichletContinuation` `Mathlib.NumberTheory.LSeries.Dirichlet` `Mathlib.NumberTheory.LSeries.HurwitzZetaEven` `Mathlib.NumberTheory.LSeries.HurwitzZetaOdd` `Mathlib.NumberTheory.LSeries.HurwitzZetaValues` `Mathlib.NumberTheory.LSeries.HurwitzZeta` `Mathlib.NumberTheory.LSeries.Injectivity` `Mathlib.NumberTheory.LSeries.Linearity` `Mathlib.NumberTheory.LSeries.MellinEqDirichlet` `Mathlib.NumberTheory.LSeries.Nonvanishing` `Mathlib.NumberTheory.LSeries.Positivity` `Mathlib.NumberTheory.LSeries.PrimesInAP` `Mathlib.NumberTheory.LSeries.RiemannZeta` `Mathlib.NumberTheory.LSeries.SumCoeff` `Mathlib.NumberTheory.LSeries.ZMod` `Mathlib.NumberTheory.LegendreSymbol.AddCharacter` `Mathlib.NumberTheory.LegendreSymbol.Basic` `Mathlib.NumberTheory.LegendreSymbol.GaussEisensteinLemmas` `Mathlib.NumberTheory.LegendreSymbol.JacobiSymbol` `Mathlib.NumberTheory.LegendreSymbol.QuadraticChar.Basic` `Mathlib.NumberTheory.LegendreSymbol.QuadraticChar.GaussSum` `Mathlib.NumberTheory.LegendreSymbol.QuadraticReciprocity` `Mathlib.NumberTheory.LucasLehmer` `Mathlib.NumberTheory.ModularForms.Basic` `Mathlib.NumberTheory.ModularForms.CongruenceSubgroups` `Mathlib.NumberTheory.ModularForms.DedekindEta` `Mathlib.NumberTheory.ModularForms.EisensteinSeries.Basic` `Mathlib.NumberTheory.ModularForms.EisensteinSeries.Defs` `Mathlib.NumberTheory.ModularForms.EisensteinSeries.IsBoundedAtImInfty` `Mathlib.NumberTheory.ModularForms.EisensteinSeries.MDifferentiable` `Mathlib.NumberTheory.ModularForms.EisensteinSeries.Summable` `Mathlib.NumberTheory.ModularForms.EisensteinSeries.UniformConvergence` `Mathlib.NumberTheory.ModularForms.Identities` `Mathlib.NumberTheory.ModularForms.JacobiTheta.Bounds` `Mathlib.NumberTheory.ModularForms.JacobiTheta.Manifold` `Mathlib.NumberTheory.ModularForms.JacobiTheta.OneVariable` `Mathlib.NumberTheory.ModularForms.JacobiTheta.TwoVariable` `Mathlib.NumberTheory.ModularForms.LevelOne` `Mathlib.NumberTheory.ModularForms.QExpansion` `Mathlib.NumberTheory.ModularForms.SlashActions` `Mathlib.NumberTheory.ModularForms.SlashInvariantForms` `Mathlib.NumberTheory.Modular` `Mathlib.NumberTheory.MulChar.Duality` `Mathlib.NumberTheory.NumberField.AdeleRing` `Mathlib.NumberTheory.NumberField.Basic` `Mathlib.NumberTheory.NumberField.CMField` `Mathlib.NumberTheory.NumberField.CanonicalEmbedding.Basic` `Mathlib.NumberTheory.NumberField.CanonicalEmbedding.ConvexBody` `Mathlib.NumberTheory.NumberField.CanonicalEmbedding.FundamentalCone` `Mathlib.NumberTheory.NumberField.CanonicalEmbedding.NormLeOne` `Mathlib.NumberTheory.NumberField.CanonicalEmbedding.PolarCoord` `Mathlib.NumberTheory.NumberField.ClassNumber` `Mathlib.NumberTheory.NumberField.Completion` `Mathlib.NumberTheory.NumberField.DedekindZeta` `Mathlib.NumberTheory.NumberField.Discriminant.Basic` `Mathlib.NumberTheory.NumberField.Discriminant.Defs` `Mathlib.NumberTheory.NumberField.Discriminant.Different` `Mathlib.NumberTheory.NumberField.Embeddings` `Mathlib.NumberTheory.NumberField.EquivReindex` `Mathlib.NumberTheory.NumberField.FractionalIdeal` `Mathlib.NumberTheory.NumberField.House` `Mathlib.NumberTheory.NumberField.Ideal.Asymptotics` `Mathlib.NumberTheory.NumberField.Ideal.Basic` `Mathlib.NumberTheory.NumberField.Ideal.KummerDedekind` `Mathlib.NumberTheory.NumberField.Ideal` `Mathlib.NumberTheory.NumberField.InfinitePlace.Basic` `Mathlib.NumberTheory.NumberField.InfinitePlace.Embeddings` `Mathlib.NumberTheory.NumberField.InfinitePlace.Ramification` `Mathlib.NumberTheory.NumberField.InfinitePlace.TotallyRealComplex` `Mathlib.NumberTheory.NumberField.Norm` `Mathlib.NumberTheory.NumberField.Units.Basic` `Mathlib.NumberTheory.NumberField.Units.DirichletTheorem` `Mathlib.NumberTheory.NumberField.Units.Regulator` `Mathlib.NumberTheory.Padics.AddChar` `Mathlib.NumberTheory.Padics.Hensel` `Mathlib.NumberTheory.Padics.MahlerBasis` `Mathlib.NumberTheory.Padics.PadicIntegers` `Mathlib.NumberTheory.Padics.ProperSpace` `Mathlib.NumberTheory.Padics.RingHoms` `Mathlib.NumberTheory.Padics.ValuativeRel` `Mathlib.NumberTheory.Padics.WithVal` `Mathlib.NumberTheory.PellMatiyasevic` `Mathlib.NumberTheory.Pell` `Mathlib.NumberTheory.PrimesCongruentOne` `Mathlib.NumberTheory.PythagoreanTriples` `Mathlib.NumberTheory.RamificationInertia.Basic` `Mathlib.NumberTheory.RamificationInertia.Galois` `Mathlib.NumberTheory.RamificationInertia.Unramified` `Mathlib.NumberTheory.Rayleigh` `Mathlib.NumberTheory.SiegelsLemma` `Mathlib.NumberTheory.SumFourSquares` `Mathlib.NumberTheory.SumTwoSquares` `Mathlib.NumberTheory.Transcendental.Lindemann.AnalyticalPart` `Mathlib.NumberTheory.Transcendental.Liouville.Basic` `Mathlib.NumberTheory.Transcendental.Liouville.LiouvilleNumber` `Mathlib.NumberTheory.Transcendental.Liouville.LiouvilleWith` `Mathlib.NumberTheory.Transcendental.Liouville.Measure` `Mathlib.NumberTheory.Transcendental.Liouville.Residual` `Mathlib.NumberTheory.WellApproximable` `Mathlib.NumberTheory.Wilson` `Mathlib.NumberTheory.ZetaValues` `Mathlib.NumberTheory.Zsqrtd.Basic` `Mathlib.NumberTheory.Zsqrtd.GaussianInt` `Mathlib.NumberTheory.Zsqrtd.QuadraticReciprocity` `Mathlib.NumberTheory.Zsqrtd.ToReal` `Mathlib.Probability.BorelCantelli` `Mathlib.Probability.CDF` `Mathlib.Probability.CondVar` `Mathlib.Probability.ConditionalExpectation` `Mathlib.Probability.Density` `Mathlib.Probability.Distributions.Exponential` `Mathlib.Probability.Distributions.Gamma` `Mathlib.Probability.Distributions.Gaussian.Basic` `Mathlib.Probability.Distributions.Gaussian.Real` `Mathlib.Probability.Distributions.Gaussian` `Mathlib.Probability.Distributions.Pareto` `Mathlib.Probability.Distributions.Uniform` `Mathlib.Probability.HasLaw` `Mathlib.Probability.IdentDistrib` `Mathlib.Probability.Independence.Conditional` `Mathlib.Probability.Independence.InfinitePi` `Mathlib.Probability.Independence.Integrable` `Mathlib.Probability.Independence.Integration` `Mathlib.Probability.Independence.ZeroOne` `Mathlib.Probability.Integration` `Mathlib.Probability.Kernel.CompProdEqIff` `Mathlib.Probability.Kernel.Composition.AbsolutelyContinuous` `Mathlib.Probability.Kernel.Composition.IntegralCompProd` `Mathlib.Probability.Kernel.CondDistrib` `Mathlib.Probability.Kernel.Condexp` `Mathlib.Probability.Kernel.Disintegration.CDFToKernel` `Mathlib.Probability.Kernel.Disintegration.CondCDF` `Mathlib.Probability.Kernel.Disintegration.Density` `Mathlib.Probability.Kernel.Disintegration.Integral` `Mathlib.Probability.Kernel.Disintegration.StandardBorel` `Mathlib.Probability.Kernel.Disintegration.Unique` `Mathlib.Probability.Kernel.Integral` `Mathlib.Probability.Kernel.IonescuTulcea.Traj` `Mathlib.Probability.Kernel.MeasurableIntegral` `Mathlib.Probability.Kernel.Posterior` `Mathlib.Probability.Kernel.RadonNikodym` `Mathlib.Probability.Kernel.SetIntegral` `Mathlib.Probability.Kernel.WithDensity` `Mathlib.Probability.Martingale.Basic` `Mathlib.Probability.Martingale.BorelCantelli` `Mathlib.Probability.Martingale.Centering` `Mathlib.Probability.Martingale.Convergence` `Mathlib.Probability.Martingale.OptionalSampling` `Mathlib.Probability.Martingale.OptionalStopping` `Mathlib.Probability.Martingale.Upcrossing` `Mathlib.Probability.Moments.Basic` `Mathlib.Probability.Moments.ComplexMGF` `Mathlib.Probability.Moments.CovarianceBilin` `Mathlib.Probability.Moments.Covariance` `Mathlib.Probability.Moments.IntegrableExpMul` `Mathlib.Probability.Moments.MGFAnalytic` `Mathlib.Probability.Moments.SubGaussian` `Mathlib.Probability.Moments.Tilted` `Mathlib.Probability.Moments.Variance` `Mathlib.Probability.Notation` `Mathlib.Probability.ProbabilityMassFunction.Integrals` `Mathlib.Probability.Process.Adapted` `Mathlib.Probability.Process.Filtration` `Mathlib.Probability.Process.FiniteDimensionalLaws` `Mathlib.Probability.Process.HittingTime` `Mathlib.Probability.Process.PartitionFiltration` `Mathlib.Probability.Process.Stopping` `Mathlib.Probability.ProductMeasure` `Mathlib.Probability.StrongLaw` `Mathlib.Probability.Variance` `Mathlib.RepresentationTheory.Basic` `Mathlib.RepresentationTheory.Character` `Mathlib.RepresentationTheory.Coinduced` `Mathlib.RepresentationTheory.Coinvariants` `Mathlib.RepresentationTheory.FDRep` `Mathlib.RepresentationTheory.FiniteIndex` `Mathlib.RepresentationTheory.GroupCohomology.Basic` `Mathlib.RepresentationTheory.GroupCohomology.Functoriality` `Mathlib.RepresentationTheory.GroupCohomology.Hilbert90` `Mathlib.RepresentationTheory.GroupCohomology.LowDegree` `Mathlib.RepresentationTheory.GroupCohomology.Resolution` `Mathlib.RepresentationTheory.Homological.GroupCohomology.Basic` `Mathlib.RepresentationTheory.Homological.GroupCohomology.Functoriality` `Mathlib.RepresentationTheory.Homological.GroupCohomology.Hilbert90` `Mathlib.RepresentationTheory.Homological.GroupCohomology.LongExactSequence` `Mathlib.RepresentationTheory.Homological.GroupCohomology.LowDegree` `Mathlib.RepresentationTheory.Homological.GroupCohomology.Shapiro` `Mathlib.RepresentationTheory.Homological.GroupHomology.Basic` `Mathlib.RepresentationTheory.Homological.GroupHomology.Functoriality` `Mathlib.RepresentationTheory.Homological.GroupHomology.LongExactSequence` `Mathlib.RepresentationTheory.Homological.GroupHomology.LowDegree` `Mathlib.RepresentationTheory.Homological.GroupHomology.Shapiro` `Mathlib.RepresentationTheory.Homological.Resolution` `Mathlib.RepresentationTheory.Induced` `Mathlib.RepresentationTheory.Invariants` `Mathlib.RepresentationTheory.Maschke` `Mathlib.RepresentationTheory.Rep` `Mathlib.RepresentationTheory.Submodule` `Mathlib.RepresentationTheory.Tannaka` `Mathlib.RingTheory.AdicCompletion.Algebra` `Mathlib.RingTheory.AdicCompletion.AsTensorProduct` `Mathlib.RingTheory.AdicCompletion.Basic` `Mathlib.RingTheory.AdicCompletion.Exactness` `Mathlib.RingTheory.AdicCompletion.Functoriality` `Mathlib.RingTheory.AdicCompletion.LocalRing` `Mathlib.RingTheory.AdicCompletion.Noetherian` `Mathlib.RingTheory.Adjoin.Dimension` `Mathlib.RingTheory.Adjoin.FG` `Mathlib.RingTheory.Adjoin.Field` `Mathlib.RingTheory.Adjoin.PowerBasis` `Mathlib.RingTheory.Adjoin.Tower` `Mathlib.RingTheory.AdjoinRoot` `Mathlib.RingTheory.Algebraic.Basic` `Mathlib.RingTheory.Algebraic.Integral` `Mathlib.RingTheory.Algebraic.MvPolynomial` `Mathlib.RingTheory.AlgebraicIndependent.Adjoin` `Mathlib.RingTheory.AlgebraicIndependent.AlgebraicClosure` `Mathlib.RingTheory.AlgebraicIndependent.Basic` `Mathlib.RingTheory.AlgebraicIndependent.RankAndCardinality` `Mathlib.RingTheory.AlgebraicIndependent.TranscendenceBasis` `Mathlib.RingTheory.AlgebraicIndependent.Transcendental` `Mathlib.RingTheory.Artinian.Algebra` `Mathlib.RingTheory.Artinian.Instances` `Mathlib.RingTheory.Artinian.Module` `Mathlib.RingTheory.Artinian.Ring` `Mathlib.RingTheory.Bezout` `Mathlib.RingTheory.Bialgebra.Basic` `Mathlib.RingTheory.Bialgebra.Equiv` `Mathlib.RingTheory.Bialgebra.Hom` `Mathlib.RingTheory.Bialgebra.MonoidAlgebra` `Mathlib.RingTheory.Bialgebra.TensorProduct` `Mathlib.RingTheory.ClassGroup` `Mathlib.RingTheory.Coalgebra.Basic` `Mathlib.RingTheory.Coalgebra.Equiv` `Mathlib.RingTheory.Coalgebra.Hom` `Mathlib.RingTheory.Coalgebra.MonoidAlgebra` `Mathlib.RingTheory.Coalgebra.MulOpposite` `Mathlib.RingTheory.Coalgebra.TensorProduct` `Mathlib.RingTheory.Complex` `Mathlib.RingTheory.Conductor` `Mathlib.RingTheory.Coprime.Ideal` `Mathlib.RingTheory.CotangentLocalizationAway` `Mathlib.RingTheory.DedekindDomain.AdicValuation` `Mathlib.RingTheory.DedekindDomain.Basic` `Mathlib.RingTheory.DedekindDomain.Different` `Mathlib.RingTheory.DedekindDomain.Dvr` `Mathlib.RingTheory.DedekindDomain.Factorization` `Mathlib.RingTheory.DedekindDomain.FiniteAdeleRing` `Mathlib.RingTheory.DedekindDomain.Ideal.Basic` `Mathlib.RingTheory.DedekindDomain.Ideal.Lemmas` `Mathlib.RingTheory.DedekindDomain.Instances` `Mathlib.RingTheory.DedekindDomain.IntegralClosure` `Mathlib.RingTheory.DedekindDomain.PID` `Mathlib.RingTheory.DedekindDomain.SInteger` `Mathlib.RingTheory.DedekindDomain.SelmerGroup` `Mathlib.RingTheory.Derivation.Lie` `Mathlib.RingTheory.Derivation.MapCoeffs` `Mathlib.RingTheory.DiscreteValuationRing.Basic` `Mathlib.RingTheory.DiscreteValuationRing.TFAE` `Mathlib.RingTheory.Discriminant` `Mathlib.RingTheory.DualNumber` `Mathlib.RingTheory.EisensteinCriterion` `Mathlib.RingTheory.EssentialFiniteness` `Mathlib.RingTheory.Etale.Basic` `Mathlib.RingTheory.Etale.Field` `Mathlib.RingTheory.Etale.Kaehler` `Mathlib.RingTheory.Etale.Pi` `Mathlib.RingTheory.EuclideanDomain` `Mathlib.RingTheory.Extension.Basic` `Mathlib.RingTheory.Extension.Cotangent.Basic` `Mathlib.RingTheory.Extension.Cotangent.LocalizationAway` `Mathlib.RingTheory.Extension.Generators` `Mathlib.RingTheory.Extension.Presentation.Basic` `Mathlib.RingTheory.Extension` `Mathlib.RingTheory.Filtration` `Mathlib.RingTheory.FiniteLength` `Mathlib.RingTheory.FinitePresentation` `Mathlib.RingTheory.FiniteStability` `Mathlib.RingTheory.FiniteType` `Mathlib.RingTheory.Finiteness.Basic` `Mathlib.RingTheory.Finiteness.Cardinality` `Mathlib.RingTheory.Finiteness.Finsupp` `Mathlib.RingTheory.Finiteness.Ideal` `Mathlib.RingTheory.Finiteness.Lattice` `Mathlib.RingTheory.Finiteness.Nilpotent` `Mathlib.RingTheory.Finiteness.Projective` `Mathlib.RingTheory.Finiteness.Quotient` `Mathlib.RingTheory.Finiteness.Small` `Mathlib.RingTheory.Finiteness.Subalgebra` `Mathlib.RingTheory.Flat.Basic` `Mathlib.RingTheory.Flat.CategoryTheory` `Mathlib.RingTheory.Flat.Domain` `Mathlib.RingTheory.Flat.Equalizer` `Mathlib.RingTheory.Flat.EquationalCriterion` `Mathlib.RingTheory.Flat.FaithfullyFlat.Algebra` `Mathlib.RingTheory.Flat.FaithfullyFlat.Basic` `Mathlib.RingTheory.Flat.Localization` `Mathlib.RingTheory.Flat.Stability` `Mathlib.RingTheory.FractionalIdeal.Basic` `Mathlib.RingTheory.FractionalIdeal.Extended` `Mathlib.RingTheory.FractionalIdeal.Inverse` `Mathlib.RingTheory.FractionalIdeal.Norm` `Mathlib.RingTheory.FractionalIdeal.Operations` `Mathlib.RingTheory.Frobenius` `Mathlib.RingTheory.Generators` `Mathlib.RingTheory.GradedAlgebra.Basic` `Mathlib.RingTheory.GradedAlgebra.FiniteType` `Mathlib.RingTheory.GradedAlgebra.Homogeneous.Ideal` `Mathlib.RingTheory.GradedAlgebra.Homogeneous.Submodule` `Mathlib.RingTheory.GradedAlgebra.HomogeneousLocalization` `Mathlib.RingTheory.GradedAlgebra.Noetherian` `Mathlib.RingTheory.GradedAlgebra.Radical` `Mathlib.RingTheory.Grassmannian` `Mathlib.RingTheory.Henselian` `Mathlib.RingTheory.HopfAlgebra.Basic` `Mathlib.RingTheory.HopfAlgebra.MonoidAlgebra` `Mathlib.RingTheory.HopfAlgebra.TensorProduct` `Mathlib.RingTheory.HopkinsLevitzki` `Mathlib.RingTheory.Ideal.AssociatedPrime.Basic` `Mathlib.RingTheory.Ideal.AssociatedPrime.Finiteness` `Mathlib.RingTheory.Ideal.AssociatedPrime.Localization` `Mathlib.RingTheory.Ideal.AssociatedPrime` `Mathlib.RingTheory.Ideal.Cotangent` `Mathlib.RingTheory.Ideal.GoingDown` `Mathlib.RingTheory.Ideal.GoingUp` `Mathlib.RingTheory.Ideal.Height` `Mathlib.RingTheory.Ideal.Int` `Mathlib.RingTheory.Ideal.IsPrincipal` `Mathlib.RingTheory.Ideal.KrullsHeightTheorem` `Mathlib.RingTheory.Ideal.MinimalPrime.Localization` `Mathlib.RingTheory.Ideal.NatInt` `Mathlib.RingTheory.Ideal.Norm.AbsNorm` `Mathlib.RingTheory.Ideal.Norm.RelNorm` `Mathlib.RingTheory.Ideal.Quotient.Index` `Mathlib.RingTheory.Ideal.Quotient.Nilpotent` `Mathlib.RingTheory.Ideal.Quotient.Noetherian` `Mathlib.RingTheory.Int.Basic` `Mathlib.RingTheory.IntegralClosure.Algebra.Basic` `Mathlib.RingTheory.IntegralClosure.IntegralRestrict` `Mathlib.RingTheory.IntegralClosure.IntegrallyClosed` `Mathlib.RingTheory.IntegralClosure.IsIntegral.Basic` `Mathlib.RingTheory.IntegralClosure.IsIntegralClosure.Basic` `Mathlib.RingTheory.Invariant.Basic` `Mathlib.RingTheory.Invariant.Profinite` `Mathlib.RingTheory.Invariant` `Mathlib.RingTheory.IsAdjoinRoot` `Mathlib.RingTheory.Jacobson.Artinian` `Mathlib.RingTheory.Jacobson.Ideal` `Mathlib.RingTheory.Jacobson.Polynomial` `Mathlib.RingTheory.Jacobson.Radical` `Mathlib.RingTheory.Jacobson.Ring` `Mathlib.RingTheory.Jacobson.Semiprimary` `Mathlib.RingTheory.Kaehler.Basic` `Mathlib.RingTheory.Kaehler.CotangentComplex` `Mathlib.RingTheory.Kaehler.JacobiZariski` `Mathlib.RingTheory.Kaehler.Polynomial` `Mathlib.RingTheory.Kaehler.TensorProduct` `Mathlib.RingTheory.KrullDimension.Basic` `Mathlib.RingTheory.KrullDimension.Field` `Mathlib.RingTheory.KrullDimension.Module` `Mathlib.RingTheory.KrullDimension.NonZeroDivisors` `Mathlib.RingTheory.KrullDimension.PID` `Mathlib.RingTheory.KrullDimension.Polynomial` `Mathlib.RingTheory.KrullDimension.Zero` `Mathlib.RingTheory.Lasker` `Mathlib.RingTheory.LaurentSeries` `Mathlib.RingTheory.Length` `Mathlib.RingTheory.LinearDisjoint` `Mathlib.RingTheory.LittleWedderburn` `Mathlib.RingTheory.LocalProperties.Basic` `Mathlib.RingTheory.LocalProperties.Exactness` `Mathlib.RingTheory.LocalProperties.IntegrallyClosed` `Mathlib.RingTheory.LocalProperties.Projective` `Mathlib.RingTheory.LocalProperties.Reduced` `Mathlib.RingTheory.LocalProperties.Submodule` `Mathlib.RingTheory.LocalRing.LocalSubring` `Mathlib.RingTheory.LocalRing.MaximalIdeal.Basic` `Mathlib.RingTheory.LocalRing.Module` `Mathlib.RingTheory.LocalRing.NonLocalRing` `Mathlib.RingTheory.LocalRing.Quotient` `Mathlib.RingTheory.LocalRing.ResidueField.Basic` `Mathlib.RingTheory.LocalRing.ResidueField.Defs` `Mathlib.RingTheory.LocalRing.ResidueField.Fiber` `Mathlib.RingTheory.LocalRing.ResidueField.Ideal` `Mathlib.RingTheory.LocalRing.ResidueField.Instances` `Mathlib.RingTheory.LocalRing.RingHom.Basic` `Mathlib.RingTheory.Localization.Algebra` `Mathlib.RingTheory.Localization.AsSubring` `Mathlib.RingTheory.Localization.AtPrime.Basic` `Mathlib.RingTheory.Localization.AtPrime` `Mathlib.RingTheory.Localization.Away.AdjoinRoot` `Mathlib.RingTheory.Localization.Away.Lemmas` `Mathlib.RingTheory.Localization.BaseChange` `Mathlib.RingTheory.Localization.Finiteness` `Mathlib.RingTheory.Localization.Free` `Mathlib.RingTheory.Localization.Integral` `Mathlib.RingTheory.Localization.InvSubmonoid` `Mathlib.RingTheory.Localization.LocalizationLocalization` `Mathlib.RingTheory.Localization.NormTrace` `Mathlib.RingTheory.Localization.Pi` `Mathlib.RingTheory.Localization.Submodule` `Mathlib.RingTheory.Morita.Basic` `Mathlib.RingTheory.MvPolynomial.Basic` `Mathlib.RingTheory.MvPolynomial.EulerIdentity` `Mathlib.RingTheory.MvPolynomial.Groebner` `Mathlib.RingTheory.MvPolynomial.Homogeneous` `Mathlib.RingTheory.MvPolynomial.Localization` `Mathlib.RingTheory.MvPolynomial.MonomialOrder.DegLex` `Mathlib.RingTheory.MvPolynomial.MonomialOrder` `Mathlib.RingTheory.MvPolynomial.WeightedHomogeneous` `Mathlib.RingTheory.MvPolynomial` `Mathlib.RingTheory.Nakayama` `Mathlib.RingTheory.Nilpotent.Lemmas` `Mathlib.RingTheory.NoetherNormalization` `Mathlib.RingTheory.Noetherian.Basic` `Mathlib.RingTheory.Noetherian.Defs` `Mathlib.RingTheory.Noetherian.Filter` `Mathlib.RingTheory.Noetherian.Nilpotent` `Mathlib.RingTheory.Noetherian.Orzech` `Mathlib.RingTheory.Noetherian.UniqueFactorizationDomain` `Mathlib.RingTheory.Norm.Basic` `Mathlib.RingTheory.Norm.Defs` `Mathlib.RingTheory.Norm.Transitivity` `Mathlib.RingTheory.NormTrace` `Mathlib.RingTheory.Nullstellensatz` `Mathlib.RingTheory.OrderOfVanishing` `Mathlib.RingTheory.OrzechProperty` `Mathlib.RingTheory.Perfection` `Mathlib.RingTheory.Perfectoid.Untilt` `Mathlib.RingTheory.PicardGroup` `Mathlib.RingTheory.Polynomial.Basic` `Mathlib.RingTheory.Polynomial.Bernstein` `Mathlib.RingTheory.Polynomial.Chebyshev` `Mathlib.RingTheory.Polynomial.ContentIdeal` `Mathlib.RingTheory.Polynomial.Content` `Mathlib.RingTheory.Polynomial.Cyclotomic.Basic` `Mathlib.RingTheory.Polynomial.Cyclotomic.Eval` `Mathlib.RingTheory.Polynomial.Cyclotomic.Expand` `Mathlib.RingTheory.Polynomial.Cyclotomic.Roots` `Mathlib.RingTheory.Polynomial.DegreeLT` `Mathlib.RingTheory.Polynomial.Dickson` `Mathlib.RingTheory.Polynomial.Eisenstein.Basic` `Mathlib.RingTheory.Polynomial.Eisenstein.Criterion` `Mathlib.RingTheory.Polynomial.Eisenstein.Distinguished` `Mathlib.RingTheory.Polynomial.Eisenstein.Generalized` `Mathlib.RingTheory.Polynomial.Eisenstein.IsIntegral` `Mathlib.RingTheory.Polynomial.GaussLemma` `Mathlib.RingTheory.Polynomial.IrreducibleRing` `Mathlib.RingTheory.Polynomial.Nilpotent` `Mathlib.RingTheory.Polynomial.Quotient` `Mathlib.RingTheory.Polynomial.Radical` `Mathlib.RingTheory.Polynomial.RationalRoot` `Mathlib.RingTheory.Polynomial.Selmer` `Mathlib.RingTheory.Polynomial.SeparableDegree` `Mathlib.RingTheory.Polynomial.SmallDegreeVieta` `Mathlib.RingTheory.Polynomial.UniqueFactorization` `Mathlib.RingTheory.Polynomial.Vieta` `Mathlib.RingTheory.Polynomial.Wronskian` `Mathlib.RingTheory.PolynomialLaw.Basic` `Mathlib.RingTheory.PowerBasis` `Mathlib.RingTheory.PowerSeries.Derivative` `Mathlib.RingTheory.PowerSeries.Inverse` `Mathlib.RingTheory.PowerSeries.WeierstrassPreparation` `Mathlib.RingTheory.Presentation` `Mathlib.RingTheory.PrincipalIdealDomainOfPrime` `Mathlib.RingTheory.PrincipalIdealDomain` `Mathlib.RingTheory.QuotSMulTop` `Mathlib.RingTheory.ReesAlgebra` `Mathlib.RingTheory.Regular.Category` `Mathlib.RingTheory.Regular.Depth` `Mathlib.RingTheory.Regular.IsSMulRegular` `Mathlib.RingTheory.Regular.RegularSequence` `Mathlib.RingTheory.RingHom.Etale` `Mathlib.RingTheory.RingHom.FaithfullyFlat` `Mathlib.RingTheory.RingHom.FinitePresentation` `Mathlib.RingTheory.RingHom.FiniteType` `Mathlib.RingTheory.RingHom.Finite` `Mathlib.RingTheory.RingHom.Flat` `Mathlib.RingTheory.RingHom.Injective` `Mathlib.RingTheory.RingHom.Integral` `Mathlib.RingTheory.RingHom.Locally` `Mathlib.RingTheory.RingHom.OpenImmersion` `Mathlib.RingTheory.RingHom.Smooth` `Mathlib.RingTheory.RingHom.StandardSmooth` `Mathlib.RingTheory.RingHom.Surjective` `Mathlib.RingTheory.RingHom.Unramified` `Mathlib.RingTheory.RingHomProperties` `Mathlib.RingTheory.RootsOfUnity.AlgebraicallyClosed` `Mathlib.RingTheory.RootsOfUnity.Lemmas` `Mathlib.RingTheory.RootsOfUnity.Minpoly` `Mathlib.RingTheory.SimpleModule.Basic` `Mathlib.RingTheory.SimpleModule.InjectiveProjective` `Mathlib.RingTheory.SimpleModule.IsAlgClosed` `Mathlib.RingTheory.SimpleModule.Isotypic` `Mathlib.RingTheory.SimpleModule.Rank` `Mathlib.RingTheory.SimpleModule.WedderburnArtin` `Mathlib.RingTheory.SimpleRing.Matrix` `Mathlib.RingTheory.SimpleRing.Principal` `Mathlib.RingTheory.Smooth.Basic` `Mathlib.RingTheory.Smooth.Kaehler` `Mathlib.RingTheory.Smooth.Local` `Mathlib.RingTheory.Smooth.Locus` `Mathlib.RingTheory.Smooth.Pi` `Mathlib.RingTheory.Smooth.StandardSmoothCotangent` `Mathlib.RingTheory.Smooth.StandardSmooth` `Mathlib.RingTheory.Spectrum.Maximal.Localization` `Mathlib.RingTheory.Spectrum.Maximal.Topology` `Mathlib.RingTheory.Spectrum.Prime.Basic` `Mathlib.RingTheory.Spectrum.Prime.ChevalleyComplexity` `Mathlib.RingTheory.Spectrum.Prime.Chevalley` `Mathlib.RingTheory.Spectrum.Prime.ConstructibleSet` `Mathlib.RingTheory.Spectrum.Prime.FreeLocus` `Mathlib.RingTheory.Spectrum.Prime.Homeomorph` `Mathlib.RingTheory.Spectrum.Prime.IsOpenComapC` `Mathlib.RingTheory.Spectrum.Prime.Jacobson` `Mathlib.RingTheory.Spectrum.Prime.LTSeries` `Mathlib.RingTheory.Spectrum.Prime.Module` `Mathlib.RingTheory.Spectrum.Prime.Noetherian` `Mathlib.RingTheory.Spectrum.Prime.Polynomial` `Mathlib.RingTheory.Spectrum.Prime.RingHom` `Mathlib.RingTheory.Spectrum.Prime.TensorProduct` `Mathlib.RingTheory.Spectrum.Prime.Topology` `Mathlib.RingTheory.Support` `Mathlib.RingTheory.SurjectiveOnStalks` `Mathlib.RingTheory.TensorProduct.DirectLimitFG` `Mathlib.RingTheory.TensorProduct.Finite` `Mathlib.RingTheory.TensorProduct.Free` `Mathlib.RingTheory.TensorProduct.IsBaseChangePi` `Mathlib.RingTheory.TensorProduct.MvPolynomial` `Mathlib.RingTheory.TensorProduct.Nontrivial` `Mathlib.RingTheory.Trace.Basic` `Mathlib.RingTheory.Trace.Defs` `Mathlib.RingTheory.Trace.Quotient` `Mathlib.RingTheory.Unramified.Basic` `Mathlib.RingTheory.Unramified.Field` `Mathlib.RingTheory.Unramified.Finite` `Mathlib.RingTheory.Unramified.LocalRing` `Mathlib.RingTheory.Unramified.Locus` `Mathlib.RingTheory.Unramified.Pi` `Mathlib.RingTheory.Valuation.AlgebraInstances` `Mathlib.RingTheory.Valuation.Archimedean` `Mathlib.RingTheory.Valuation.Discrete.Basic` `Mathlib.RingTheory.Valuation.DiscreteValuativeRel` `Mathlib.RingTheory.Valuation.Extension` `Mathlib.RingTheory.Valuation.Integral` `Mathlib.RingTheory.Valuation.IntegrallyClosed` `Mathlib.RingTheory.Valuation.LocalSubring` `Mathlib.RingTheory.Valuation.Minpoly` `Mathlib.RingTheory.Valuation.RamificationGroup` `Mathlib.RingTheory.Valuation.RankOne` `Mathlib.RingTheory.Valuation.ValExtension` `Mathlib.RingTheory.Valuation.ValuationRing` `Mathlib.RingTheory.Valuation.ValuationSubring` `Mathlib.RingTheory.WittVector.Basic` `Mathlib.RingTheory.WittVector.Compare` `Mathlib.RingTheory.WittVector.Complete` `Mathlib.RingTheory.WittVector.Defs` `Mathlib.RingTheory.WittVector.DiscreteValuationRing` `Mathlib.RingTheory.WittVector.Domain` `Mathlib.RingTheory.WittVector.FrobeniusFractionField` `Mathlib.RingTheory.WittVector.Frobenius` `Mathlib.RingTheory.WittVector.Identities` `Mathlib.RingTheory.WittVector.InitTail` `Mathlib.RingTheory.WittVector.IsPoly` `Mathlib.RingTheory.WittVector.Isocrystal` `Mathlib.RingTheory.WittVector.MulCoeff` `Mathlib.RingTheory.WittVector.MulP` `Mathlib.RingTheory.WittVector.StructurePolynomial` `Mathlib.RingTheory.WittVector.Teichmuller` `Mathlib.RingTheory.WittVector.Truncated` `Mathlib.RingTheory.WittVector.Verschiebung` `Mathlib.RingTheory.ZMod.UnitsCyclic` `Mathlib.RingTheory.ZMod` `Mathlib.Tactic.NormNum.Irrational` `Mathlib.Tactic.NormNum.LegendreSymbol` `Mathlib.Tactic.NormNum.RealSqrt` `Mathlib.Tactic.ReduceModChar` `Mathlib.Tactic` `Mathlib.Topology.Algebra.InfiniteSum.ENNReal` `Mathlib.Topology.Algebra.InfiniteSum.Real` `Mathlib.Topology.Algebra.IsOpenUnits` `Mathlib.Topology.Algebra.Module.Compact` `Mathlib.Topology.Algebra.Module.Determinant` `Mathlib.Topology.Algebra.Module.FiniteDimension` `Mathlib.Topology.Algebra.Module.ModuleTopology` `Mathlib.Topology.Algebra.Module.Simple` `Mathlib.Topology.Algebra.Polynomial` `Mathlib.Topology.Algebra.Ring.Compact` `Mathlib.Topology.Algebra.SeparationQuotient.FiniteDimensional` `Mathlib.Topology.Algebra.SeparationQuotient.Section` `Mathlib.Topology.Algebra.Valued.ValuationTopology` `Mathlib.Topology.Algebra.Valued.ValuativeRel` `Mathlib.Topology.Algebra.Valued.ValuedField` `Mathlib.Topology.Algebra.Valued.WithVal` `Mathlib.Topology.Algebra.Valued.WithZeroMulInt` `Mathlib.Topology.CWComplex.Abstract.Basic` `Mathlib.Topology.Category.Profinite.Nobeling.Induction` `Mathlib.Topology.Category.Profinite.Nobeling` `Mathlib.Topology.Category.TopCat.Sphere` `Mathlib.Topology.Compactification.OnePoint.ProjectiveLine` `Mathlib.Topology.Compactification.OnePoint.Sphere` `Mathlib.Topology.Compactification.OnePointEquiv` `Mathlib.Topology.ContinuousMap.Polynomial` `Mathlib.Topology.ContinuousMap.StoneWeierstrass` `Mathlib.Topology.ContinuousMap.Weierstrass` `Mathlib.Topology.EMetricSpace.BoundedVariation` `Mathlib.Topology.Instances.AddCircle.DenseSubgroup` `Mathlib.Topology.Instances.Complex` `Mathlib.Topology.Instances.ENNReal.Lemmas` `Mathlib.Topology.Instances.EReal.Lemmas` `Mathlib.Topology.Instances.Irrational` `Mathlib.Topology.Instances.Matrix` `Mathlib.Topology.Instances.NNReal.Lemmas` `Mathlib.Topology.Instances.RatLemmas` `Mathlib.Topology.MetricSpace.HausdorffDimension` `Mathlib.Topology.Metrizable.CompletelyMetrizable` `Mathlib.Topology.Metrizable.ContinuousMap` `Mathlib.Topology.Metrizable.Uniformity` `Mathlib.Topology.Semicontinuous` `Mathlib.Topology.Sheaves.CommRingCat` `Mathlib.Topology.Sheaves.MayerVietoris`	-1

Declarations diff

+ IsOrderedModule
+ IsOrderedModule.of_smul_nonneg
+ IsStrictOrderedModule
+ PosSMulMono.of_smul_nonneg
+ evalSMul
+ instance (priority := 100) IsOrderedRing.toIsOrderedModule [IsOrderedRing α] :
+ instance (priority := 100) IsStrictOrderedModule.toIsOrderedModule [IsStrictOrderedModule α β] :
+ instance (priority := 100) IsStrictOrderedRing.toIsStrictOrderedModule [IsStrictOrderedRing α] :
+ instance : IsOrderedModule R A
+ instance [IsCancelAdd R] : IsStrictOrderedModule R A
+ smul_mem
+ toIsStrictOrderedModule
+ to_isOrderedModule
++ instIsOrderedModule
+++ instIsStrictOrderedModule
- _root_.StarModule.instOrderedSMul
- evalHSMul
- instance : PosSMulMono R A
- instance : SMulPosMono R A
- instance [IsCancelAdd R] : SMulPosStrictMono R A
- instance {A : Type*} [NonUnitalRing A] [StarRing A] [PartialOrder A] [StarOrderedRing A]
- toOrderedSMul
- to_orderedSMul
-- instOrderedSMul

You can run this locally as follows

## summary with just the declaration names:
./scripts/declarations_diff.sh <optional_commit>

## more verbose report:
./scripts/declarations_diff.sh long <optional_commit>

The doc-module for script/declarations_diff.sh contains some details about this script.

Increase in tech debt: (relative, absolute) = (8.00, 0.09)

Current number	Change	Type
92	8	disabled deprecation lints

Current commit 64e7faa764
Reference commit 90c27465cc

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./scripts/technical-debt-metrics.sh pr_summary

The relative value is the weighted sum of the differences with weight given by the inverse of the current value of the statistic.
The absolute value is the relative value divided by the total sum of the inverses of the current values (i.e. the weighted average of the differences).

This way we can import it in `Data.NNReal.Defs` in leanprover-community#28817.

This way we can import it in `Data.NNReal.Defs` in #28817.

…-community#28851) This way we can import it in `Data.NNReal.Defs` in leanprover-community#28817.

mathlib4-merge-conflict-bot · 2025-08-27T04:02:13Z

This pull request has conflicts, please merge master and resolve them.

…-community#28851) This way we can import it in `Data.NNReal.Defs` in leanprover-community#28817.

…er-community#29056) When the instance `NNReal.semifield` gets unfolded, the type `NNReal` gets unfolded to a `Subtype`; this breaks defeq barriers (up to reducibility). Redefine the `NNReal.semifield` instance in terms of `NNReal.toReal` and we should avoid this issue. This is a more limited fix compared to leanprover-community#29050, and we might run into more unfolding issues, but at least this fix is compatible with leanprover-community#28817. Co-authored-by: Anne C.A. Baanen <vierkantor@vierkantor.com>

dupuisf · 2025-08-31T22:51:17Z

+/-- Constructs an ordered module given an ordered group, a cone, and a proof that
+the order relation is the one defined by the cone. -/
+lemma to_posSMulMono (C : PointedCone R E) (h : ∀ x y : E, x ≤ y ↔ y - x ∈ C) :
+    PosSMulMono R E where


Can't we get an actual IsOrderedModule out of this...?

Not without strengthening Semiring to Ring, but I agree the former is fake generality, so I'll change it

mathlib4-dependent-issues-bot · 2025-09-04T16:04:27Z

This PR/issue depends on:

~~[Merged by Bors] - chore(Algebra/Order/Nonneg/Module): don't import Finset #28851~~
~~[Merged by Bors] - refactor: generalise monotonicity of scalar multiplication to star-semimodules #28852~~
~~[Merged by Bors] - chore(Algebra/Order): move x ⊓ y = (⅟2 : α) • (x + y - |y - x|) #28900~~
~~[Merged by Bors] - chore: generalise OrderedSMul to PosSMulMono/PosSMulStrictMono #28902~~
~~[Merged by Bors] - refactor(Algebra/Order/Module): don't use elim as a field name #29340~~
By Dependent Issues (🤖). Happy coding!

mathlib4-merge-conflict-bot · 2025-09-04T16:47:43Z

This pull request has conflicts, please merge master and resolve them.

I follow the pattern of `IsOrderedRing`/`IsStrictOrderedRing` by introducing two analogous typeclasses `IsOrderedModule`/`IsStrictOrderedModule`.

dupuisf · 2025-09-06T03:03:51Z

Great, thanks!

bors r+

I follow the pattern of `IsOrderedRing`/`IsStrictOrderedRing` by introducing two analogous typeclasses `IsOrderedModule`/`IsStrictOrderedModule`.

mathlib-bors · 2025-09-06T03:47:55Z

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bryangingechen · 2025-09-06T03:51:14Z

bors r+

I follow the pattern of `IsOrderedRing`/`IsStrictOrderedRing` by introducing two analogous typeclasses `IsOrderedModule`/`IsStrictOrderedModule`.

mathlib-bors · 2025-09-06T05:01:46Z

Pull request successfully merged into master.

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I follow the pattern of `IsOrderedRing`/`IsStrictOrderedRing` by introducing two analogous typeclasses `IsOrderedModule`/`IsStrictOrderedModule`.

YaelDillies added awaiting-CI This PR does not pass CI yet. This label is automatically removed once it does. t-algebra Algebra (groups, rings, fields, etc) t-order Order theory labels Aug 23, 2025

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feat: StarOrderedRing implies OrderedSMul #27943

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chore(Algebra/Order/Nonneg/Module): don't import Finset

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This way we can import it in `Data.NNReal.Defs` in leanprover-community#28817.

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[Merged by Bors] - chore(Algebra/Order/Nonneg/Module): don't import Finset #28851

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chore(Algebra/Order/Nonneg/Module): don't import Finset (#28851)

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chore(Algebra/Order/Nonneg/Module): don't import Finset (leanprover…

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…-community#28851) This way we can import it in `Data.NNReal.Defs` in leanprover-community#28817.

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chore(Algebra/Order/Nonneg/Module): don't import Finset (leanprover…

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…-community#28851) This way we can import it in `Data.NNReal.Defs` in leanprover-community#28817.

YaelDillies force-pushed the is_ordered_module branch from a022b20 to 7339fc5 Compare August 25, 2025 05:12

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[Merged by Bors] - refactor: generalise monotonicity of scalar multiplication to star-semimodules #28852

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[Merged by Bors] - chore: generalise OrderedSMul to PosSMulMono/PosSMulStrictMono #28902

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chore(Algebra/Order/Nonneg/Module): don't import Finset (leanprover…

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…-community#28851) This way we can import it in `Data.NNReal.Defs` in leanprover-community#28817.

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chore: deprecate OrderedSMul

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I follow the pattern of `IsOrderedRing`/`IsStrictOrderedRing` by introducing two analogous typeclasses `IsOrderedModule`/`IsStrictOrderedModule`.

strengthen PointedCone result

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unnecessary proofs

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chore: deprecate OrderedSMul (#28817)

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I follow the pattern of `IsOrderedRing`/`IsStrictOrderedRing` by introducing two analogous typeclasses `IsOrderedModule`/`IsStrictOrderedModule`.

mathlib-bors Bot pushed a commit that referenced this pull request Sep 6, 2025

chore: deprecate OrderedSMul (#28817)

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I follow the pattern of `IsOrderedRing`/`IsStrictOrderedRing` by introducing two analogous typeclasses `IsOrderedModule`/`IsStrictOrderedModule`.

mathlib-bors Bot changed the title ~~chore: deprecate OrderedSMul~~ [Merged by Bors] - chore: deprecate OrderedSMul Sep 6, 2025

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[Merged by Bors] - doc(Algebra): fix file refs #33323

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[Merged by Bors] - chore: deprecate `OrderedSMul`#28817

[Merged by Bors] - chore: deprecate `OrderedSMul`#28817
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