-
Notifications
You must be signed in to change notification settings - Fork 356
New issue
Have a question about this project? Sign up for a free GitHub account to open an issue and contact its maintainers and the community.
By clicking “Sign up for GitHub”, you agree to our terms of service and privacy statement. We’ll occasionally send you account related emails.
Already on GitHub? Sign in to your account
chore(Algebra.Polynomial): split Polynomial/Basic.lean
into smaller files
#19097
base: master
Are you sure you want to change the base?
Conversation
PR summary eb3081f1e6
|
File | Base Count | Head Count | Change |
---|---|---|---|
Mathlib.Algebra.Polynomial.Basic | 735 | 0 | -735 (-100.00%) |
Mathlib.Algebra.MonoidAlgebra.Defs | 721 | 614 | -107 (-14.84%) |
Mathlib.Algebra.MonoidAlgebra.Division | 722 | 673 | -49 (-6.79%) |
Mathlib.Data.Finsupp.Defs | 501 | 473 | -28 (-5.59%) |
Mathlib.Data.Finsupp.Indicator | 502 | 496 | -6 (-1.20%) |
Mathlib.Data.Finsupp.Notation | 502 | 496 | -6 (-1.20%) |
Mathlib.Data.List.ToFinsupp | 503 | 497 | -6 (-1.19%) |
Mathlib.Data.Finsupp.Fintype | 536 | 530 | -6 (-1.12%) |
Mathlib.Data.Finsupp.Pointwise | 526 | 521 | -5 (-0.95%) |
Mathlib.Algebra.Polynomial.Monomial | 736 | 733 | -3 (-0.41%) |
Mathlib.Algebra.Polynomial.Degree.TrailingDegree | 866 | 864 | -2 (-0.23%) |
Mathlib.Algebra.Polynomial.Eval.Defs | 736 | 735 | -1 (-0.14%) |
Mathlib.Algebra.Polynomial.Degree.Definitions | 805 | 804 | -1 (-0.12%) |
Import changes for all files
Files | Import difference |
---|---|
Mathlib.Algebra.Polynomial.Basic |
-735 |
Mathlib.Algebra.MonoidAlgebra.Defs |
-107 |
Mathlib.Algebra.MonoidAlgebra.Division |
-49 |
Mathlib.Algebra.MonoidAlgebra.NoZeroDivisors |
-44 |
3 filesMathlib.Data.Finsupp.Fin Mathlib.Data.Finsupp.Defs Mathlib.Data.Finsupp.NeLocus |
-28 |
Mathlib.Algebra.MonoidAlgebra.Ideal |
-17 |
Mathlib.Data.Finsupp.BigOperators |
-8 |
6 filesMathlib.Data.Finsupp.Notation Mathlib.Data.Finsupp.Fintype Mathlib.Data.Finsupp.Indicator Mathlib.Algebra.Group.UniqueProds.Basic Mathlib.Data.DFinsupp.Notation Mathlib.Data.List.ToFinsupp |
-6 |
Mathlib.Data.Finsupp.Pointwise |
-5 |
7 filesMathlib.Algebra.Polynomial.HasseDeriv Mathlib.Algebra.Polynomial.Mirror Mathlib.Algebra.Polynomial.Monic Mathlib.Algebra.Polynomial.BigOperators Mathlib.Algebra.Polynomial.Reverse Mathlib.Algebra.Polynomial.Monomial Mathlib.Algebra.Polynomial.UnitTrinomial |
-3 |
Mathlib.Algebra.Polynomial.Degree.TrailingDegree |
-2 |
5 filesMathlib.Algebra.Polynomial.Degree.Definitions Mathlib.LinearAlgebra.SModEq Mathlib.Algebra.Polynomial.Degree.Monomial Mathlib.Algebra.Polynomial.Eval.Algebra Mathlib.Algebra.Polynomial.Eval.Defs |
-1 |
Mathlib.RingTheory.Polynomial.Opposites |
1 |
218 filesMathlib.CategoryTheory.Galois.IsFundamentalgroup Mathlib.CategoryTheory.Preadditive.Yoneda.Projective Mathlib.Algebra.Star.Module Mathlib.CategoryTheory.Abelian.Generator Mathlib.Algebra.Star.NonUnitalSubalgebra Mathlib.AlgebraicTopology.DoldKan.EquivalencePseudoabelian Mathlib.RingTheory.Finiteness.Bilinear Mathlib.RingTheory.UniqueFactorizationDomain.Multiplicative Mathlib.AlgebraicTopology.DoldKan.SplitSimplicialObject Mathlib.CategoryTheory.Abelian.RightDerived Mathlib.Data.Matrix.Auto Mathlib.CategoryTheory.Abelian.DiagramLemmas.Four Mathlib.Algebra.BigOperators.Finsupp Mathlib.CategoryTheory.Abelian.Pseudoelements Mathlib.LinearAlgebra.Projection Mathlib.Algebra.Homology.Opposite Mathlib.Topology.Algebra.UniformField Mathlib.Analysis.Normed.Lp.WithLp Mathlib.LinearAlgebra.AffineSpace.Ordered Mathlib.Algebra.Homology.DerivedCategory.HomologySequence Mathlib.NumberTheory.Primorial Mathlib.Algebra.Homology.ShortComplex.SnakeLemma Mathlib.Combinatorics.SimpleGraph.StronglyRegular Mathlib.Data.Matrix.Invertible Mathlib.Data.Matrix.Composition Mathlib.Data.Matrix.Basic Mathlib.Data.Matrix.Basis Mathlib.Algebra.Homology.Embedding.IsSupported Mathlib.GroupTheory.Coxeter.Matrix Mathlib.LinearAlgebra.AffineSpace.Pointwise Mathlib.CategoryTheory.Galois.GaloisObjects Mathlib.LinearAlgebra.AffineSpace.AffineEquiv Mathlib.CategoryTheory.Preadditive.Yoneda.Basic Mathlib.CategoryTheory.Abelian.EpiWithInjectiveKernel Mathlib.RingTheory.UniqueFactorizationDomain.Basic Mathlib.RingTheory.UniqueFactorizationDomain.Nat Mathlib.Algebra.Homology.HomotopyCategory.Pretriangulated Mathlib.Algebra.RingQuot Mathlib.AlgebraicTopology.DoldKan.Homotopies Mathlib.CategoryTheory.Abelian.Opposite Mathlib.CategoryTheory.Preadditive.Generator Mathlib.MeasureTheory.Constructions.AddChar Mathlib.Algebra.Homology.DerivedCategory.Ext.Basic Mathlib.Algebra.Homology.ShortComplex.HomologicalComplex Mathlib.Algebra.Homology.HomotopyCategory.HomComplexShift Mathlib.Topology.Algebra.Nonarchimedean.Completion Mathlib.RingTheory.Noetherian.Filter Mathlib.Algebra.Exact Mathlib.Algebra.Homology.HomotopyCategory.MappingCone Mathlib.Algebra.Category.ModuleCat.Injective Mathlib.LinearAlgebra.TensorProduct.Prod Mathlib.Algebra.TrivSqZeroExt Mathlib.Algebra.Homology.TotalComplexShift Mathlib.CategoryTheory.Abelian.ProjectiveResolution Mathlib.GroupTheory.Coxeter.Basic Mathlib.RingTheory.UniqueFactorizationDomain.Finite Mathlib.CategoryTheory.Localization.CalculusOfFractions.Preadditive Mathlib.Algebra.Category.MonCat.Limits Mathlib.NumberTheory.DirichletCharacter.Basic Mathlib.Algebra.Star.StarAlgHom Mathlib.AlgebraicTopology.DoldKan.GammaCompN Mathlib.RingTheory.Finiteness.Lattice Mathlib.CategoryTheory.Preadditive.Yoneda.Injective Mathlib.Algebra.Group.AddChar Mathlib.RingTheory.Finiteness.Basic Mathlib.Algebra.Algebra.Hom.Rat Mathlib.CategoryTheory.Triangulated.HomologicalFunctor Mathlib.Algebra.Homology.HomotopyCategory.HomologicalFunctor Mathlib.Data.Matrix.Block Mathlib.CategoryTheory.Shift.ShiftedHomOpposite Mathlib.RingTheory.PiTensorProduct Mathlib.Algebra.Algebra.Opposite Mathlib.Algebra.Homology.HomotopyCategory.Triangulated Mathlib.RingTheory.Radical Mathlib.Algebra.Module.LocalizedModule.Basic Mathlib.Data.Finset.Finsupp Mathlib.LinearAlgebra.AffineSpace.MidpointZero Mathlib.Algebra.Algebra.Unitization Mathlib.Algebra.Homology.HomotopyCategory.SingleFunctors Mathlib.CategoryTheory.Abelian.Refinements Mathlib.Algebra.Algebra.Pi Mathlib.Algebra.Category.Grp.FilteredColimits Mathlib.Data.Matrix.Reflection Mathlib.CategoryTheory.Monoidal.Tor Mathlib.Algebra.Category.Ring.FilteredColimits Mathlib.CategoryTheory.Galois.Decomposition Mathlib.RingTheory.UniqueFactorizationDomain.NormalizedFactors Mathlib.Algebra.Homology.HomotopyCategory.HomComplex Mathlib.Algebra.Module.LocalizedModule.IsLocalization Mathlib.Algebra.Module.SnakeLemma Mathlib.RingTheory.UniqueFactorizationDomain.Multiplicity Mathlib.Geometry.RingedSpace.Basic Mathlib.LinearAlgebra.AffineSpace.Restrict Mathlib.CategoryTheory.Galois.Basic Mathlib.Algebra.Homology.DerivedCategory.SingleTriangle Mathlib.AlgebraicTopology.DoldKan.EquivalenceAdditive Mathlib.Algebra.Homology.DerivedCategory.ShortExact Mathlib.Algebra.Homology.HomotopyCategory.Shift Mathlib.Algebra.Homology.ShortComplex.Linear Mathlib.CategoryTheory.Shift.Opposite Mathlib.AlgebraicTopology.DoldKan.HomotopyEquivalence Mathlib.Algebra.Category.ModuleCat.FilteredColimits Mathlib.RingTheory.Noetherian.Defs Mathlib.CategoryTheory.Galois.Topology Mathlib.Logic.Equiv.TransferInstance Mathlib.Topology.Algebra.UniformRing Mathlib.LinearAlgebra.Matrix.Trace Mathlib.Algebra.Star.RingQuot Mathlib.AlgebraicTopology.DoldKan.Notations Mathlib.Algebra.Homology.Refinements Mathlib.Algebra.Algebra.RestrictScalars Mathlib.AlgebraicTopology.DoldKan.Normalized Mathlib.CategoryTheory.Galois.Full Mathlib.Algebra.BigOperators.Associated Mathlib.CategoryTheory.Localization.Triangulated Mathlib.CategoryTheory.Galois.Prorepresentability Mathlib.Algebra.Category.ModuleCat.Monoidal.Closed Mathlib.CategoryTheory.Triangulated.Opposite Mathlib.Data.ZMod.Units Mathlib.AlgebraicTopology.DoldKan.Faces Mathlib.Algebra.Module.Injective Mathlib.Algebra.Homology.Localization Mathlib.Algebra.Homology.ShortComplex.Preadditive Mathlib.Algebra.Homology.BifunctorHomotopy Mathlib.Algebra.Homology.ShortComplex.Exact Mathlib.LinearAlgebra.TensorProduct.Tower Mathlib.LinearAlgebra.TensorProduct.Pi Mathlib.AlgebraicTopology.DoldKan.Equivalence Mathlib.Logic.Small.Group Mathlib.Algebra.Category.ModuleCat.Algebra Mathlib.Algebra.DirectSum.AddChar Mathlib.AlgebraicTopology.DoldKan.Decomposition Mathlib.Algebra.Homology.SingleHomology Mathlib.AlgebraicTopology.DoldKan.PInfty Mathlib.Topology.Algebra.Affine Mathlib.Logic.Small.Module Mathlib.Algebra.Lie.NonUnitalNonAssocAlgebra Mathlib.RingTheory.Localization.Basic Mathlib.Algebra.Category.Ring.Limits Mathlib.AlgebraicTopology.DoldKan.FunctorGamma Mathlib.Algebra.Homology.HomologySequenceLemmas Mathlib.GroupTheory.Coxeter.Inversion Mathlib.CategoryTheory.Preadditive.ProjectiveResolution Mathlib.Algebra.Homology.HomologicalComplexAbelian Mathlib.Algebra.Algebra.Prod Mathlib.RingTheory.Finiteness.Prod Mathlib.Algebra.Category.MonCat.FilteredColimits Mathlib.LinearAlgebra.Matrix.Symmetric Mathlib.Tactic.Module Mathlib.CategoryTheory.Abelian.Exact Mathlib.Analysis.CStarAlgebra.Module.Synonym Mathlib.Algebra.Homology.QuasiIso Mathlib.AlgebraicTopology.DoldKan.NCompGamma Mathlib.LinearAlgebra.BilinearForm.Basic Mathlib.Algebra.Homology.HomotopyCategory.ShiftSequence Mathlib.CategoryTheory.Preadditive.Opposite Mathlib.Algebra.Category.Grp.Limits Mathlib.AlgebraicTopology.ExtraDegeneracy Mathlib.CategoryTheory.Galois.Examples Mathlib.Algebra.Homology.HomotopyCategory.ShortExact Mathlib.CategoryTheory.Triangulated.Subcategory Mathlib.Topology.LocallyConstant.Algebra Mathlib.CategoryTheory.Abelian.InjectiveResolution Mathlib.Algebra.Module.LocalizedModule.Exact Mathlib.Data.Matrix.RowCol Mathlib.Algebra.Category.Grp.Biproducts Mathlib.CategoryTheory.Preadditive.InjectiveResolution Mathlib.Algebra.Homology.ExactSequence Mathlib.CategoryTheory.Galois.Action Mathlib.Algebra.Algebra.Bilinear Mathlib.Data.Matrix.DualNumber Mathlib.AlgebraicTopology.AlternatingFaceMapComplex Mathlib.CategoryTheory.Abelian.LeftDerived Mathlib.GroupTheory.Coxeter.Length Mathlib.Algebra.Homology.Homotopy Mathlib.Algebra.Algebra.Equiv Mathlib.Data.Matrix.Hadamard Mathlib.RingTheory.Finiteness.Defs Mathlib.Algebra.Homology.HomotopyCofiber Mathlib.Algebra.Algebra.NonUnitalSubalgebra Mathlib.LinearAlgebra.AffineSpace.Slope Mathlib.Algebra.Algebra.Hom Mathlib.Combinatorics.Optimization.ValuedCSP Mathlib.CategoryTheory.Galois.EssSurj Mathlib.CategoryTheory.Linear.Yoneda Mathlib.RingTheory.Localization.Cardinality Mathlib.Algebra.Homology.HomologySequence Mathlib.Data.Matrix.ConjTranspose Mathlib.RingTheory.Finiteness.Nilpotent Mathlib.Algebra.Algebra.NonUnitalHom Mathlib.Algebra.DualNumber Mathlib.Algebra.Homology.ShortComplex.ShortExact Mathlib.LinearAlgebra.LinearPMap Mathlib.Algebra.Homology.HomotopyCategory Mathlib.LinearAlgebra.Prod Mathlib.Algebra.Homology.HomotopyCategory.DegreewiseSplit Mathlib.Data.Matrix.Notation Mathlib.RingTheory.Localization.FractionRing Mathlib.LinearAlgebra.AffineSpace.Midpoint Mathlib.Combinatorics.SimpleGraph.AdjMatrix Mathlib.Algebra.Algebra.Tower Mathlib.Analysis.Normed.Group.AddTorsor Mathlib.AlgebraicTopology.DoldKan.FunctorN Mathlib.Algebra.Homology.BifunctorShift Mathlib.Tactic.Algebraize Mathlib.Algebra.Homology.ShortComplex.ExactFunctor Mathlib.Algebra.Homology.DerivedCategory.Basic Mathlib.Algebra.Homology.Factorizations.Basic Mathlib.LinearAlgebra.Matrix.Circulant Mathlib.Algebra.Homology.DerivedCategory.ExactFunctor Mathlib.LinearAlgebra.AffineSpace.AffineMap Mathlib.LinearAlgebra.AffineSpace.AffineSubspace Mathlib.AlgebraicTopology.DoldKan.NReflectsIso Mathlib.Algebra.Homology.DerivedCategory.Ext.ExtClass Mathlib.Logic.Small.Ring Mathlib.AlgebraicTopology.DoldKan.Degeneracies Mathlib.AlgebraicTopology.DoldKan.Projections Mathlib.Algebra.Homology.Embedding.TruncGE |
2 |
679 filesMathlib.Topology.Category.Stonean.Adjunctions Mathlib.Analysis.Normed.Group.Uniform Mathlib.Data.Real.Hyperreal Mathlib.Topology.Algebra.Module.Simple Mathlib.Analysis.Asymptotics.SpecificAsymptotics Mathlib.RingTheory.Localization.Away.Lemmas Mathlib.LinearAlgebra.Countable Mathlib.Topology.Category.LightProfinite.EffectiveEpi Mathlib.Topology.Algebra.NonUnitalStarAlgebra Mathlib.MeasureTheory.Constructions.BorelSpace.Metric Mathlib.RingTheory.AlgebraTower Mathlib.Probability.Kernel.Defs Mathlib.LinearAlgebra.DirectSum.Finsupp Mathlib.Topology.Category.Stonean.EffectiveEpi Mathlib.Analysis.NormedSpace.OperatorNorm.Basic Mathlib.RingTheory.Noetherian.Orzech Mathlib.RingTheory.SimpleModule Mathlib.RingTheory.IsPrimary Mathlib.Topology.MetricSpace.Thickening Mathlib.Probability.Distributions.Geometric Mathlib.MeasureTheory.Integral.Marginal Mathlib.RingTheory.Lasker Mathlib.Topology.Category.CompHaus.EffectiveEpi Mathlib.Topology.Algebra.SeparationQuotient.Section Mathlib.Topology.ContinuousMap.Bounded.Basic Mathlib.Topology.ContinuousMap.Star Mathlib.Algebra.Module.Bimodule Mathlib.Topology.Homotopy.Contractible Mathlib.Data.Matrix.DoublyStochastic Mathlib.AlgebraicTopology.FundamentalGroupoid.PUnit Mathlib.Analysis.Convex.Birkhoff Mathlib.Topology.Algebra.Module.UniformConvergence Mathlib.LinearAlgebra.Finsupp.Supported Mathlib.Data.Finsupp.Basic Mathlib.Algebra.Category.CoalgebraCat.ComonEquivalence Mathlib.LinearAlgebra.Dimension.DivisionRing Mathlib.Topology.Category.Profinite.CofilteredLimit Mathlib.MeasureTheory.OuterMeasure.Caratheodory Mathlib.RingTheory.Ideal.IsPrincipal Mathlib.MeasureTheory.Constructions.BorelSpace.Basic Mathlib.Probability.ProbabilityMassFunction.Monad Mathlib.MeasureTheory.OuterMeasure.Induced Mathlib.MeasureTheory.Measure.Regular Mathlib.Analysis.Asymptotics.AsymptoticEquivalent Mathlib.MeasureTheory.Group.MeasurableEquiv Mathlib.RingTheory.Flat.Basic Mathlib.RingTheory.GradedAlgebra.Noetherian Mathlib.MeasureTheory.Order.Lattice Mathlib.RingTheory.QuotSMulTop Mathlib.Condensed.TopComparison Mathlib.Data.Finsupp.PWO Mathlib.Analysis.Hofer Mathlib.LinearAlgebra.Dimension.Localization Mathlib.LinearAlgebra.Finsupp.VectorSpace Mathlib.Analysis.CStarAlgebra.ContinuousMap Mathlib.Analysis.Normed.Algebra.Ultra Mathlib.Analysis.Convex.Topology Mathlib.RingTheory.TensorProduct.Finite Mathlib.Condensed.Discrete.Basic Mathlib.Logic.Hydra Mathlib.RingTheory.Ideal.Maps Mathlib.Algebra.DirectSum.Module Mathlib.LinearAlgebra.Matrix.Diagonal Mathlib.Topology.Algebra.Module.ModuleTopology Mathlib.Analysis.Complex.HalfPlane Mathlib.Analysis.LocallyConvex.Bounded Mathlib.LinearAlgebra.Eigenspace.Matrix Mathlib.RingTheory.UniqueFactorizationDomain.GCDMonoid Mathlib.RingTheory.FractionalIdeal.Extended Mathlib.RingTheory.Finiteness.Nakayama Mathlib.Analysis.Seminorm Mathlib.MeasureTheory.Measure.AEDisjoint Mathlib.NumberTheory.ArithmeticFunction Mathlib.Topology.Bornology.BoundedOperation Mathlib.Algebra.Category.ModuleCat.Adjunctions Mathlib.LinearAlgebra.Matrix.Reindex Mathlib.Analysis.Convex.Body Mathlib.Analysis.NormedSpace.RCLike Mathlib.LinearAlgebra.DFinsupp Mathlib.Algebra.Algebra.Subalgebra.Operations Mathlib.LinearAlgebra.Finsupp.Pi Mathlib.Topology.Compactification.OnePointEquiv Mathlib.SetTheory.Cardinal.Finsupp Mathlib.Topology.Category.LightProfinite.Extend Mathlib.Data.Finsupp.Encodable Mathlib.RingTheory.Bialgebra.Hom Mathlib.NumberTheory.FLT.Four Mathlib.Analysis.Calculus.FormalMultilinearSeries Mathlib.MeasureTheory.Order.Group.Lattice Mathlib.Topology.Germ Mathlib.RingTheory.Localization.BaseChange Mathlib.RingTheory.Ideal.Quotient.Noetherian Mathlib.MeasureTheory.Group.Measure Mathlib.GroupTheory.FreeAbelianGroupFinsupp Mathlib.NumberTheory.Zsqrtd.ToReal Mathlib.RingTheory.Localization.Ideal Mathlib.RingTheory.Coalgebra.Basic Mathlib.Algebra.Quaternion Mathlib.Topology.ContinuousMap.Periodic Mathlib.Algebra.Algebra.Subalgebra.Tower Mathlib.GroupTheory.Exponent Mathlib.Topology.ContinuousMap.Lattice Mathlib.RingTheory.UniqueFactorizationDomain.FactorSet Mathlib.RingTheory.Bialgebra.TensorProduct Mathlib.Algebra.DualQuaternion Mathlib.Condensed.Light.CartesianClosed Mathlib.Analysis.NormedSpace.RieszLemma Mathlib.LinearAlgebra.Dimension.Finrank Mathlib.Data.ZMod.Quotient Mathlib.Algebra.Order.Floor.Div Mathlib.MeasureTheory.OuterMeasure.OfFunction Mathlib.Data.Nat.Squarefree Mathlib.Topology.MetricSpace.PartitionOfUnity Mathlib.Data.Nat.Factorization.Induction Mathlib.Algebra.Module.Presentation.Tautological Mathlib.MeasureTheory.Covering.VitaliFamily Mathlib.Analysis.LocallyConvex.Barrelled Mathlib.Algebra.Star.Subalgebra Mathlib.NumberTheory.Padics.PadicNumbers Mathlib.LinearAlgebra.Matrix.Determinant.Misc Mathlib.MeasureTheory.Measure.ContinuousPreimage Mathlib.Data.Finsupp.Weight Mathlib.MeasureTheory.Group.Arithmetic Mathlib.LinearAlgebra.Multilinear.Basis Mathlib.LinearAlgebra.Finsupp.SumProd Mathlib.Dynamics.Ergodic.MeasurePreserving Mathlib.RingTheory.PrincipalIdealDomain Mathlib.GroupTheory.Nilpotent Mathlib.RingTheory.Bialgebra.Basic Mathlib.GroupTheory.CommutingProbability Mathlib.Topology.Algebra.InfiniteSum.Module Mathlib.Analysis.Complex.Basic Mathlib.MeasureTheory.Function.AEMeasurableOrder Mathlib.MeasureTheory.Category.MeasCat Mathlib.Analysis.Calculus.TangentCone Mathlib.Topology.Category.Profinite.EffectiveEpi Mathlib.RingTheory.Regular.IsSMulRegular Mathlib.MeasureTheory.Constructions.Pi Mathlib.Analysis.Normed.Order.UpperLower Mathlib.Algebra.Central.Defs Mathlib.Topology.MetricSpace.GromovHausdorffRealized Mathlib.Analysis.Normed.Group.SemiNormedGrp Mathlib.Topology.ContinuousMap.Bounded.Star Mathlib.MeasureTheory.Decomposition.UnsignedHahn Mathlib.RingTheory.Flat.Localization Mathlib.Topology.ContinuousMap.Compact Mathlib.Analysis.Normed.Algebra.Unitization Mathlib.GroupTheory.SchurZassenhaus Mathlib.Analysis.Calculus.FDeriv.Basic Mathlib.LinearAlgebra.FreeModule.PID Mathlib.Dynamics.Ergodic.Conservative Mathlib.Algebra.Vertex.HVertexOperator Mathlib.Analysis.BoxIntegral.Box.SubboxInduction Mathlib.Algebra.Category.ModuleCat.Products Mathlib.Topology.Instances.AddCircle Mathlib.LinearAlgebra.AffineSpace.ContinuousAffineEquiv Mathlib.Analysis.Convex.Slope Mathlib.Analysis.Normed.Affine.Isometry Mathlib.Topology.Category.Profinite.AsLimit Mathlib.Algebra.Module.Presentation.Free Mathlib.Data.Nat.Factorization.Defs Mathlib.RingTheory.Localization.Away.Basic Mathlib.Topology.Homotopy.Path Mathlib.Algebra.Category.ModuleCat.Simple Mathlib.Analysis.Normed.Field.Basic Mathlib.Algebra.Algebra.Operations Mathlib.MeasureTheory.Constructions.BorelSpace.Metrizable Mathlib.Algebra.Category.Grp.EnoughInjectives Mathlib.Topology.ContinuousMap.LocallyConstant Mathlib.Data.ZMod.Coprime Mathlib.Topology.CompletelyRegular Mathlib.RingTheory.Noetherian.Basic Mathlib.Algebra.Algebra.Subalgebra.Prod Mathlib.Data.Real.IsNonarchimedean Mathlib.AlgebraicTopology.FundamentalGroupoid.SimplyConnected Mathlib.Algebra.Module.Presentation.Cokernel Mathlib.Condensed.Basic Mathlib.MeasureTheory.Measure.NullMeasurable Mathlib.Topology.ContinuousMap.BoundedCompactlySupported Mathlib.Analysis.Normed.Operator.BanachSteinhaus Mathlib.AlgebraicTopology.FundamentalGroupoid.Product Mathlib.Condensed.Light.TopComparison Mathlib.Condensed.Light.TopCatAdjunction Mathlib.RingTheory.Noetherian.Nilpotent Mathlib.GroupTheory.GroupAction.Period Mathlib.Analysis.NormedSpace.OperatorNorm.Bilinear Mathlib.NumberTheory.PellMatiyasevic Mathlib.Condensed.Discrete.LocallyConstant Mathlib.Algebra.Module.LocalizedModule.Int Mathlib.Analysis.LocallyConvex.Basic Mathlib.RingTheory.Coalgebra.TensorProduct Mathlib.Analysis.Normed.Ring.WithAbs Mathlib.Algebra.Category.Ring.Epi Mathlib.Analysis.LocallyConvex.WeakDual Mathlib.RingTheory.Coprime.Ideal Mathlib.Data.Finsupp.Antidiagonal Mathlib.Algebra.Squarefree.Basic Mathlib.Analysis.Normed.Module.Span Mathlib.RingTheory.FractionalIdeal.Basic Mathlib.Analysis.Normed.Affine.MazurUlam Mathlib.LinearAlgebra.Finsupp.LSum Mathlib.MeasureTheory.Measure.Content Mathlib.LinearAlgebra.FiniteDimensional Mathlib.AlgebraicTopology.FundamentalGroupoid.FundamentalGroup Mathlib.LinearAlgebra.FreeModule.Int Mathlib.Algebra.DirectSum.Internal Mathlib.RingTheory.Valuation.ValuationRing Mathlib.Analysis.LocallyConvex.AbsConvex Mathlib.Analysis.Normed.Group.SemiNormedGrp.Kernels Mathlib.Topology.UrysohnsBounded Mathlib.LinearAlgebra.Matrix.ToLin Mathlib.MeasureTheory.Decomposition.Exhaustion Mathlib.MeasureTheory.Measure.Sub Mathlib.Topology.Homotopy.Product Mathlib.Topology.Metrizable.Urysohn Mathlib.Analysis.Convex.SimplicialComplex.Basic Mathlib.RingTheory.GradedAlgebra.HomogeneousIdeal Mathlib.RingTheory.Finiteness.Subalgebra Mathlib.LinearAlgebra.FreeModule.Finite.Basic Mathlib.MeasureTheory.Measure.HasOuterApproxClosed Mathlib.Analysis.Normed.Group.Tannery Mathlib.Algebra.Algebra.Subalgebra.Order Mathlib.MeasureTheory.Measure.GiryMonad Mathlib.RingTheory.Flat.Algebra Mathlib.Probability.ProbabilityMassFunction.Constructions Mathlib.RingTheory.Coalgebra.Hom Mathlib.RingTheory.Ideal.Quotient.Nilpotent Mathlib.LinearAlgebra.TensorProduct.Quotient Mathlib.Topology.Category.LightProfinite.AsLimit Mathlib.RingTheory.Localization.Submodule Mathlib.Topology.Category.LightProfinite.Limits Mathlib.Analysis.NormedSpace.OperatorNorm.Mul Mathlib.Analysis.Normed.Group.Quotient Mathlib.Topology.Category.CompHaus.Basic Mathlib.Order.Filter.ZeroAndBoundedAtFilter Mathlib.Analysis.Asymptotics.TVS Mathlib.NumberTheory.Zsqrtd.GaussianInt Mathlib.LinearAlgebra.Alternating.DomCoprod Mathlib.LinearAlgebra.Finsupp.LinearCombination Mathlib.Algebra.Category.CoalgebraCat.Basic Mathlib.LinearAlgebra.TensorProduct.Finiteness Mathlib.LinearAlgebra.FiniteDimensional.Defs Mathlib.Topology.Algebra.Category.ProfiniteGrp.Basic Mathlib.Topology.Algebra.Module.Alternating.Topology Mathlib.LinearAlgebra.DirectSum.TensorProduct Mathlib.Topology.Category.CompHaus.Projective Mathlib.Analysis.NormedSpace.OperatorNorm.NormedSpace Mathlib.Algebra.DirectSum.Decomposition Mathlib.RingTheory.Nilpotent.Lemmas Mathlib.MeasureTheory.Measure.Trim Mathlib.Analysis.Normed.Group.Completeness Mathlib.Analysis.Normed.Group.Ultra Mathlib.Analysis.CStarAlgebra.Classes Mathlib.Analysis.Normed.Group.ZeroAtInfty Mathlib.LinearAlgebra.TensorProduct.Subalgebra Mathlib.Topology.Algebra.StarSubalgebra Mathlib.Analysis.LocallyConvex.StrongTopology Mathlib.Analysis.Convex.Cone.Extension Mathlib.NumberTheory.PythagoreanTriples Mathlib.LinearAlgebra.Projectivization.Constructions Mathlib.LinearAlgebra.BilinearForm.Hom Mathlib.LinearAlgebra.AffineSpace.Basis Mathlib.Analysis.NormedSpace.ConformalLinearMap Mathlib.Algebra.Order.Antidiag.Nat Mathlib.LinearAlgebra.Matrix.DotProduct Mathlib.MeasureTheory.Decomposition.Jordan Mathlib.Analysis.BoxIntegral.Partition.Additive Mathlib.Analysis.Complex.ReImTopology Mathlib.RingTheory.ZMod Mathlib.Algebra.Module.Projective Mathlib.Analysis.Calculus.Deriv.Basic Mathlib.LinearAlgebra.CrossProduct Mathlib.Testing.Plausible.Functions Mathlib.Analysis.NormedSpace.OperatorNorm.Asymptotics Mathlib.LinearAlgebra.Basis.Defs Mathlib.Analysis.Convex.Join Mathlib.LinearAlgebra.Matrix.Permutation Mathlib.Topology.Category.Profinite.Projective Mathlib.Topology.PartitionOfUnity Mathlib.Analysis.NormedSpace.Multilinear.Curry Mathlib.Algebra.Algebra.Subalgebra.Pointwise Mathlib.Analysis.SumOverResidueClass Mathlib.NumberTheory.SmoothNumbers Mathlib.LinearAlgebra.Matrix.StdBasis Mathlib.Topology.TietzeExtension Mathlib.MeasureTheory.Constructions.Polish.EmbeddingReal Mathlib.Analysis.Normed.Group.BallSphere Mathlib.Topology.MetricSpace.Polish Mathlib.GroupTheory.CosetCover Mathlib.LinearAlgebra.LinearDisjoint Mathlib.Analysis.CStarAlgebra.Unitization Mathlib.Topology.Category.Profinite.Basic Mathlib.Topology.Algebra.Module.Multilinear.Basic Mathlib.LinearAlgebra.Dimension.Torsion Mathlib.MeasureTheory.Group.LIntegral Mathlib.SetTheory.Surreal.Dyadic Mathlib.MeasureTheory.Integral.LebesgueNormedSpace Mathlib.Probability.ProbabilityMassFunction.Binomial Mathlib.Topology.ContinuousMap.StarOrdered Mathlib.Data.Finsupp.MonomialOrder Mathlib.GroupTheory.Torsion Mathlib.LinearAlgebra.Dimension.Basic Mathlib.Data.Finsupp.Multiset Mathlib.Topology.MetricSpace.Algebra Mathlib.RingTheory.Finiteness.TensorProduct Mathlib.Algebra.DirectSum.Finsupp Mathlib.AlgebraicGeometry.ProjectiveSpectrum.Topology Mathlib.LinearAlgebra.LinearIndependent Mathlib.Analysis.Convex.Between Mathlib.LinearAlgebra.AffineSpace.Independent Mathlib.Analysis.LocallyConvex.Polar Mathlib.MeasureTheory.Group.Pointwise Mathlib.Analysis.Normed.Group.HomCompletion Mathlib.Topology.Category.CompHaus.Limits Mathlib.Topology.Algebra.Module.LocallyConvex Mathlib.Algebra.Algebra.Spectrum Mathlib.Condensed.TopCatAdjunction Mathlib.RingTheory.Flat.FaithfullyFlat Mathlib.Analysis.Normed.MulAction Mathlib.LinearAlgebra.Matrix.AbsoluteValue Mathlib.Analysis.Convex.Independent Mathlib.RingTheory.ChainOfDivisors Mathlib.LinearAlgebra.Projectivization.Independence Mathlib.Analysis.Complex.Asymptotics Mathlib.Probability.ConditionalProbability Mathlib.Analysis.Normed.Field.UnitBall Mathlib.LinearAlgebra.InvariantBasisNumber Mathlib.Analysis.Normed.Group.Completion Mathlib.Data.Complex.FiniteDimensional Mathlib.RingTheory.OrzechProperty Mathlib.Topology.Algebra.InfiniteSum.Field Mathlib.Probability.Kernel.Disintegration.MeasurableStieltjes Mathlib.LinearAlgebra.SesquilinearForm Mathlib.Data.Nat.Choose.Factorization Mathlib.RingTheory.HopfAlgebra Mathlib.Topology.Algebra.Nonarchimedean.AdicTopology Mathlib.LinearAlgebra.TensorProduct.Submodule Mathlib.Algebra.Algebra.Subalgebra.Basic Mathlib.MeasureTheory.Integral.RieszMarkovKakutani Mathlib.Analysis.Calculus.FDeriv.RestrictScalars Mathlib.GroupTheory.Complement Mathlib.RingTheory.IsTensorProduct Mathlib.RingTheory.Ideal.AssociatedPrime Mathlib.Analysis.NormedSpace.Extr Mathlib.FieldTheory.Finiteness Mathlib.Topology.UrysohnsLemma Mathlib.NumberTheory.Harmonic.Int Mathlib.Topology.Category.CompactlyGenerated Mathlib.MeasureTheory.Constructions.BorelSpace.Complex Mathlib.NumberTheory.MaricaSchoenheim Mathlib.Topology.Homotopy.HomotopyGroup Mathlib.Analysis.Normed.Order.Basic Mathlib.MeasureTheory.Measure.Count Mathlib.Topology.Algebra.UniformFilterBasis Mathlib.Topology.Algebra.Nonarchimedean.Bases Mathlib.Probability.Kernel.Basic Mathlib.RingTheory.Finiteness.Finsupp Mathlib.MeasureTheory.Group.AEStabilizer Mathlib.LinearAlgebra.Matrix.InvariantBasisNumber Mathlib.GroupTheory.SpecificGroups.Quaternion Mathlib.Topology.Algebra.Module.StrongTopology Mathlib.Analysis.Convex.EGauge Mathlib.LinearAlgebra.Ray Mathlib.Analysis.Convex.Mul Mathlib.Topology.Algebra.Module.LinearPMap Mathlib.RingTheory.UniqueFactorizationDomain.Finsupp Mathlib.Topology.MetricSpace.ThickenedIndicator Mathlib.Analysis.Convex.Segment Mathlib.MeasureTheory.Measure.Comap Mathlib.Probability.ProbabilityMassFunction.Basic Mathlib.LinearAlgebra.TensorProduct.Graded.External Mathlib.Topology.MetricSpace.Contracting Mathlib.Data.Complex.Cardinality Mathlib.Algebra.Module.Presentation.DirectSum Mathlib.Topology.Baire.BaireMeasurable Mathlib.LinearAlgebra.Eigenspace.Basic Mathlib.Analysis.NormedSpace.Int Mathlib.Algebra.Algebra.Subalgebra.MulOpposite Mathlib.Analysis.RCLike.Basic Mathlib.Analysis.Normed.Operator.Banach Mathlib.Algebra.Module.CharacterModule Mathlib.Topology.Algebra.Algebra Mathlib.NumberTheory.Dioph Mathlib.Algebra.Module.Torsion Mathlib.Analysis.Normed.Group.AddCircle Mathlib.RingTheory.HahnSeries.Valuation Mathlib.Analysis.Convex.Contractible Mathlib.Data.Finsupp.WellFounded Mathlib.RingTheory.EuclideanDomain Mathlib.MeasureTheory.Group.Convolution Mathlib.Combinatorics.Enumerative.Bell Mathlib.Data.Nat.Factorization.Root Mathlib.Analysis.BoxIntegral.Partition.Filter Mathlib.RingTheory.Valuation.Integers Mathlib.Topology.MetricSpace.Perfect Mathlib.Topology.MetricSpace.CauSeqFilter Mathlib.LinearAlgebra.TensorProduct.Opposite Mathlib.RingTheory.HahnSeries.Summable Mathlib.Dynamics.Ergodic.Ergodic Mathlib.Algebra.Algebra.Quasispectrum Mathlib.Algebra.Module.FinitePresentation Mathlib.RingTheory.Int.Basic Mathlib.Analysis.NormedSpace.ENorm Mathlib.LinearAlgebra.AffineSpace.FiniteDimensional Mathlib.Analysis.Normed.Field.ProperSpace Mathlib.Analysis.CStarAlgebra.Basic Mathlib.MeasureTheory.Measure.OpenPos Mathlib.MeasureTheory.Measure.Dirac Mathlib.RingTheory.Ideal.Operations Mathlib.Topology.Algebra.FilterBasis Mathlib.LinearAlgebra.Alternating.Basic Mathlib.MeasureTheory.Decomposition.SignedHahn Mathlib.RingTheory.Localization.NumDen Mathlib.Topology.Category.Compactum Mathlib.Analysis.Normed.Group.InfiniteSum Mathlib.Analysis.Calculus.Deriv.Comp Mathlib.Analysis.Normed.Affine.AddTorsor Mathlib.AlgebraicTopology.FundamentalGroupoid.InducedMaps Mathlib.GroupTheory.Transfer Mathlib.Condensed.Discrete.Colimit Mathlib.Algebra.Module.Presentation.Basic Mathlib.Topology.MetricSpace.PiNat Mathlib.Analysis.NormedSpace.HomeomorphBall Mathlib.Topology.Category.Profinite.Extend Mathlib.RingTheory.Finiteness.Cardinality Mathlib.Algebra.Order.Antidiag.Finsupp Mathlib.Analysis.Normed.Group.Lemmas Mathlib.MeasureTheory.Measure.Stieltjes Mathlib.Condensed.CartesianClosed Mathlib.RingTheory.Ideal.IsPrimary Mathlib.Analysis.Convex.Function Mathlib.Analysis.Calculus.InverseFunctionTheorem.ApproximatesLinearOn Mathlib.Dynamics.Ergodic.Action.Regular Mathlib.AlgebraicTopology.FundamentalGroupoid.Basic Mathlib.Topology.Compactness.CompactlyGeneratedSpace Mathlib.RingTheory.Bezout Mathlib.SetTheory.Surreal.Multiplication Mathlib.Analysis.Normed.Operator.LinearIsometry Mathlib.Topology.Category.Stonean.Basic Mathlib.Topology.ContinuousMap.ContinuousMapZero Mathlib.Analysis.NormedSpace.PiTensorProduct.InjectiveSeminorm Mathlib.Data.Nat.Factorization.Basic Mathlib.Topology.Algebra.Module.Multilinear.Bounded Mathlib.Topology.MetricSpace.HausdorffDistance Mathlib.RingTheory.Adjoin.Dimension Mathlib.Analysis.Convex.TotallyBounded Mathlib.RingTheory.UniqueFactorizationDomain.Ideal Mathlib.Topology.Algebra.ProperAction.ProperlyDiscontinuous Mathlib.GroupTheory.Sylow Mathlib.Algebra.Module.Presentation.Finite Mathlib.Analysis.NormedSpace.Extend Mathlib.Analysis.Asymptotics.Theta Mathlib.MeasureTheory.Function.Egorov Mathlib.Probability.Independence.Basic Mathlib.Topology.Category.LightProfinite.Basic Mathlib.Analysis.BoxIntegral.Partition.SubboxInduction Mathlib.RingTheory.MatrixAlgebra Mathlib.LinearAlgebra.Dimension.LinearMap Mathlib.Topology.MetricSpace.CantorScheme Mathlib.Analysis.Convex.Cone.Basic Mathlib.Algebra.Category.CoalgebraCat.Monoidal Mathlib.RingTheory.Adjoin.Basic Mathlib.RingTheory.GradedAlgebra.Radical Mathlib.RingTheory.Coalgebra.Equiv Mathlib.Analysis.Normed.Field.Ultra Mathlib.RingTheory.GradedAlgebra.Basic Mathlib.Analysis.Normed.Group.SemiNormedGrp.Completion Mathlib.Algebra.CharP.Quotient Mathlib.Analysis.NormedSpace.OperatorNorm.NNNorm Mathlib.MeasureTheory.Covering.Vitali Mathlib.Data.Complex.Module Mathlib.RingTheory.Flat.EquationalCriterion Mathlib.Analysis.Convex.Gauge Mathlib.MeasureTheory.VectorMeasure.Basic Mathlib.Topology.Category.LightProfinite.Sequence Mathlib.Analysis.NormedSpace.OperatorNorm.Completeness Mathlib.Condensed.Light.Basic Mathlib.LinearAlgebra.AffineSpace.Combination Mathlib.Analysis.Convex.Jensen Mathlib.Topology.Algebra.Module.Basic Mathlib.LinearAlgebra.Dimension.FreeAndStrongRankCondition Mathlib.Analysis.Calculus.Deriv.Support Mathlib.MeasureTheory.Constructions.Polish.Basic Mathlib.Dynamics.Circle.RotationNumber.TranslationNumber Mathlib.RingTheory.TensorProduct.Pi Mathlib.Data.Real.Cardinality Mathlib.GroupTheory.PushoutI Mathlib.Analysis.Convex.Strict Mathlib.RingTheory.Valuation.Quotient Mathlib.LinearAlgebra.Dimension.Free Mathlib.Dynamics.Ergodic.Function Mathlib.Analysis.Normed.Module.Basic Mathlib.Algebra.Algebra.Subalgebra.Unitization Mathlib.Analysis.Complex.Convex Mathlib.Topology.Separation.NotNormal Mathlib.Topology.Category.Locale Mathlib.NumberTheory.PrimeCounting Mathlib.LinearAlgebra.TensorProduct.RightExactness Mathlib.Algebra.Central.Basic Mathlib.RingTheory.Valuation.ValExtension Mathlib.Analysis.Convex.Combination Mathlib.Analysis.Normed.Group.Pointwise Mathlib.LinearAlgebra.Matrix.Basis Mathlib.RingTheory.Bialgebra.Equiv Mathlib.Data.Nat.Choose.Multinomial Mathlib.GroupTheory.HNNExtension Mathlib.MeasureTheory.Function.StronglyMeasurable.Basic Mathlib.Analysis.Calculus.FDeriv.Comp Mathlib.Topology.Instances.RealVectorSpace Mathlib.Analysis.LocallyConvex.ContinuousOfBounded Mathlib.Analysis.Convex.Hull Mathlib.Analysis.Convex.Star Mathlib.Analysis.NormedSpace.PiTensorProduct.ProjectiveSeminorm Mathlib.RingTheory.Ideal.Pointwise Mathlib.RingTheory.Ideal.Colon Mathlib.LinearAlgebra.Basis.Basic Mathlib.MeasureTheory.Measure.Restrict Mathlib.Data.Finsupp.Lex Mathlib.Analysis.LocallyConvex.WithSeminorms Mathlib.Analysis.Convex.Basic Mathlib.RingTheory.Localization.Module Mathlib.Analysis.Normed.Order.Lattice Mathlib.Data.Finsupp.Interval Mathlib.Topology.Algebra.Module.WeakDual Mathlib.Analysis.Normed.Module.Ray Mathlib.RingTheory.Valuation.PrimeMultiplicity Mathlib.MeasureTheory.Measure.MutuallySingular Mathlib.CategoryTheory.Preadditive.HomOrthogonal Mathlib.Analysis.Convex.Extrema Mathlib.Analysis.Convex.Extreme Mathlib.Analysis.Convex.Visible Mathlib.Probability.Independence.Kernel Mathlib.MeasureTheory.Group.Prod Mathlib.LinearAlgebra.Dimension.Constructions Mathlib.Order.Category.Frm Mathlib.Analysis.NormedSpace.OperatorNorm.Prod Mathlib.Topology.ContinuousMap.CompactlySupported Mathlib.GroupTheory.SpecificGroups.Cyclic Mathlib.Algebra.Group.UniqueProds.VectorSpace Mathlib.RingTheory.Ideal.Quotient.Operations Mathlib.Topology.Maps.Proper.CompactlyGenerated Mathlib.MeasureTheory.Measure.Typeclasses Mathlib.LinearAlgebra.TensorPower Mathlib.Algebra.QuaternionBasis Mathlib.Data.Finsupp.ToDFinsupp Mathlib.RingTheory.Flat.Equalizer Mathlib.LinearAlgebra.Matrix.Transvection Mathlib.Analysis.NormedSpace.Real Mathlib.MeasureTheory.Measure.Prod Mathlib.LinearAlgebra.Dimension.StrongRankCondition Mathlib.Analysis.Normed.Field.Lemmas Mathlib.Analysis.Normed.Field.InfiniteSum Mathlib.Algebra.Algebra.Subalgebra.Directed Mathlib.Algebra.Central.Matrix Mathlib.Topology.Algebra.Module.Multilinear.Topology Mathlib.Topology.ContinuousMap.Algebra Mathlib.Condensed.Light.Functors Mathlib.NumberTheory.Zsqrtd.Basic Mathlib.GroupTheory.Order.Min Mathlib.MeasureTheory.Measure.AEMeasurable Mathlib.Analysis.Asymptotics.Asymptotics Mathlib.MeasureTheory.Measure.WithDensity Mathlib.RingTheory.Ideal.IdempotentFG Mathlib.MeasureTheory.Function.AEEqFun Mathlib.MeasureTheory.Function.SimpleFuncDense Mathlib.RingTheory.Finiteness.Ideal Mathlib.LinearAlgebra.Finsupp.Span Mathlib.Topology.ContinuousMap.ZeroAtInfty Mathlib.Analysis.NormedSpace.FunctionSeries Mathlib.Analysis.Normed.Operator.Compact Mathlib.Topology.Algebra.Module.Alternating.Basic Mathlib.Algebra.Category.ModuleCat.Projective Mathlib.GroupTheory.SpecificGroups.KleinFour Mathlib.Dynamics.Ergodic.Action.Basic Mathlib.RingTheory.Ideal.Basic Mathlib.RingTheory.Flat.Stability Mathlib.RingTheory.Ideal.Basis Mathlib.Condensed.Functors Mathlib.MeasureTheory.Constructions.Projective Mathlib.Analysis.NormedSpace.BallAction Mathlib.MeasureTheory.Measure.MeasureSpace Mathlib.MeasureTheory.Measure.MeasureSpaceDef Mathlib.MeasureTheory.Group.Action Mathlib.Dynamics.BirkhoffSum.NormedSpace Mathlib.Data.Nat.Factorization.PrimePow Mathlib.LinearAlgebra.Projectivization.Subspace Mathlib.RingTheory.Finiteness.Projective Mathlib.Analysis.Convex.Caratheodory Mathlib.Data.Finsupp.AList Mathlib.MeasureTheory.Function.AEMeasurableSequence Mathlib.Condensed.Equivalence Mathlib.Analysis.Convex.Quasiconvex Mathlib.Topology.Algebra.Module.CharacterSpace Mathlib.RingTheory.Ideal.Prod Mathlib.Topology.Category.Profinite.Product Mathlib.RingTheory.Ideal.IsPrincipalPowQuotient Mathlib.Algebra.DirectSum.Algebra Mathlib.Topology.Category.Profinite.Limits Mathlib.Topology.MetricSpace.Completion Mathlib.LinearAlgebra.Finsupp.Defs Mathlib.GroupTheory.SpecificGroups.Dihedral Mathlib.RingTheory.PrincipalIdealDomainOfPrime Mathlib.FieldTheory.Tower Mathlib.MeasureTheory.Measure.Haar.Basic Mathlib.RingTheory.HahnSeries.Multiplication Mathlib.RingTheory.TensorProduct.Free Mathlib.Analysis.Calculus.Deriv.Slope Mathlib.NumberTheory.FLT.Basic Mathlib.RingTheory.PrimeSpectrum Mathlib.Analysis.SpecificLimits.RCLike Mathlib.GroupTheory.Frattini Mathlib.Data.Finsupp.Order Mathlib.Analysis.NormedSpace.Multilinear.Basic Mathlib.MeasureTheory.Constructions.BorelSpace.Real Mathlib.GroupTheory.PGroup Mathlib.LinearAlgebra.TensorProduct.Graded.Internal Mathlib.LinearAlgebra.Dimension.Finite Mathlib.Analysis.LocallyConvex.BalancedCoreHull Mathlib.Topology.Algebra.SeparationQuotient.Basic Mathlib.Algebra.Category.Grp.Injective Mathlib.MeasureTheory.Constructions.BorelSpace.Order Mathlib.Analysis.Convex.StoneSeparation Mathlib.LinearAlgebra.Basis.Bilinear Mathlib.MeasureTheory.Integral.Indicator Mathlib.Algebra.Star.Unitary Mathlib.Topology.MetricSpace.Closeds Mathlib.Topology.Algebra.ContinuousAffineMap Mathlib.Analysis.Convex.Radon Mathlib.Algebra.SkewMonoidAlgebra.Basic Mathlib.Analysis.Normed.Affine.ContinuousAffineMap Mathlib.LinearAlgebra.TensorProduct.Basis Mathlib.Topology.Algebra.NonUnitalAlgebra Mathlib.MeasureTheory.Measure.EverywherePos Mathlib.Topology.Instances.TrivSqZeroExt Mathlib.LinearAlgebra.Matrix.Determinant.Basic Mathlib.Analysis.SpecificLimits.Basic Mathlib.MeasureTheory.Function.EssSup Mathlib.RingTheory.Valuation.Basic Mathlib.GroupTheory.Schreier Mathlib.MeasureTheory.Measure.Complex Mathlib.RingTheory.TensorProduct.Basic Mathlib.Combinatorics.Additive.CauchyDavenport Mathlib.Algebra.Module.GradedModule Mathlib.RingTheory.Valuation.RankOne Mathlib.MeasureTheory.Function.Floor Mathlib.LinearAlgebra.Dimension.RankNullity Mathlib.Analysis.Normed.Operator.ContinuousLinearMap Mathlib.LinearAlgebra.Basis.Cardinality Mathlib.Topology.Algebra.Module.Star Mathlib.Analysis.NormedSpace.SphereNormEquiv Mathlib.Topology.Order.Category.FrameAdjunction Mathlib.Probability.UniformOn Mathlib.Analysis.Normed.Ring.Ultra Mathlib.Analysis.Convex.PartitionOfUnity Mathlib.LinearAlgebra.FreeModule.Basic Mathlib.Analysis.Normed.Group.Hom Mathlib.Analysis.NormedSpace.Pointwise Mathlib.Analysis.Normed.Group.NullSubmodule Mathlib.MeasureTheory.Integral.Lebesgue Mathlib.RingTheory.Noetherian.UniqueFactorizationDomain Mathlib.LinearAlgebra.Multilinear.DFinsupp Mathlib.Topology.Baire.CompleteMetrizable Mathlib.MeasureTheory.Function.SimpleFunc Mathlib.Data.Nat.Totient Mathlib.LinearAlgebra.TensorProduct.Vanishing Mathlib.Algebra.Module.Submodule.Pointwise Mathlib.MeasureTheory.Group.Defs Mathlib.LinearAlgebra.StdBasis Mathlib.Analysis.Convex.Exposed Mathlib.RingTheory.Localization.Algebra Mathlib.Analysis.Normed.Module.Completion Mathlib.Topology.MetricSpace.Ultra.ContinuousMaps Mathlib.GroupTheory.SpecificGroups.ZGroup Mathlib.LinearAlgebra.Basis.VectorSpace Mathlib.Topology.Category.Stonean.Limits Mathlib.Algebra.Module.LocalizedModule.Submodule Mathlib.RingTheory.Ideal.Quotient.Basic Mathlib.LinearAlgebra.Projectivization.Basic Mathlib.Topology.Algebra.ContinuousMonoidHom |
3 |
Mathlib.Algebra.FreeNonUnitalNonAssocAlgebra Mathlib.Algebra.MonoidAlgebra.Basic |
4 |
Mathlib.Algebra.MonoidAlgebra.Support Mathlib.Algebra.MonoidAlgebra.Degree |
5 |
49 filesMathlib.RingTheory.MvPolynomial.Symmetric.FundamentalTheorem Mathlib.LinearAlgebra.Matrix.MvPolynomial Mathlib.RingTheory.MvPowerSeries.LexOrder Mathlib.Algebra.MvPolynomial.Counit Mathlib.Algebra.MvPolynomial.Basic Mathlib.LinearAlgebra.TensorAlgebra.Grading Mathlib.Algebra.MonoidAlgebra.ToDirectSum Mathlib.RingTheory.KrullDimension.Field Mathlib.Algebra.MvPolynomial.Expand Mathlib.RingTheory.WittVector.WittPolynomial Mathlib.RingTheory.MvPolynomial.Symmetric.Defs Mathlib.RingTheory.MvPolynomial.Symmetric.NewtonIdentities Mathlib.RingTheory.MvPolynomial.Ideal Mathlib.LinearAlgebra.TensorAlgebra.Basic Mathlib.Algebra.MvPolynomial.Rename Mathlib.LinearAlgebra.TensorAlgebra.ToTensorPower Mathlib.Algebra.CharP.Subring Mathlib.Algebra.MvPolynomial.Variables Mathlib.Algebra.MvPolynomial.Supported Mathlib.RingTheory.MvPolynomial.Tower Mathlib.Topology.Algebra.MvPolynomial Mathlib.RingTheory.MvPowerSeries.Inverse Mathlib.Algebra.Category.BialgebraCat.Basic Mathlib.Algebra.MvPolynomial.Comap Mathlib.Algebra.Category.AlgebraCat.Symmetric Mathlib.RingTheory.KrullDimension.Basic Mathlib.Algebra.Star.Free Mathlib.Algebra.MvPolynomial.Monad Mathlib.Algebra.Category.AlgebraCat.Monoidal Mathlib.RingTheory.MvPolynomial.WeightedHomogeneous Mathlib.CategoryTheory.Monoidal.Internal.Module Mathlib.RingTheory.MvPowerSeries.Order Mathlib.Algebra.Category.AlgebraCat.Basic Mathlib.Algebra.MvPolynomial.Division Mathlib.Algebra.MonoidAlgebra.Grading Mathlib.Algebra.CharP.LinearMaps Mathlib.Algebra.CharP.Algebra Mathlib.Algebra.MvPolynomial.CommRing Mathlib.RingTheory.MvPowerSeries.Trunc Mathlib.RingTheory.MvPowerSeries.Basic Mathlib.Algebra.MvPolynomial.Degrees Mathlib.Algebra.MvPolynomial.Invertible Mathlib.Algebra.Category.Ring.Adjunctions Mathlib.RepresentationTheory.Maschke Mathlib.Algebra.Category.HopfAlgebraCat.Basic Mathlib.Algebra.Polynomial.Cardinal Mathlib.Algebra.FreeAlgebra Mathlib.RingTheory.MvPowerSeries.NoZeroDivisors Mathlib.LinearAlgebra.FreeProduct.Basic |
6 |
3 filesMathlib.Analysis.Polynomial.CauchyBound Mathlib.Algebra.Polynomial.PartialFractions Mathlib.Algebra.Polynomial.Div |
7 |
167 filesMathlib.Analysis.MeanInequalitiesPow Mathlib.Combinatorics.SimpleGraph.Triangle.Removal Mathlib.Analysis.Calculus.Deriv.Pi Mathlib.Analysis.Calculus.Deriv.Inv Mathlib.Dynamics.TopologicalEntropy.NetEntropy Mathlib.Analysis.Analytic.OfScalars Mathlib.Analysis.CStarAlgebra.Multiplier Mathlib.Analysis.SpecialFunctions.Pow.Complex Mathlib.Analysis.Calculus.Deriv.Star Mathlib.MeasureTheory.Function.SpecialFunctions.Basic Mathlib.Analysis.Normed.Lp.PiLp Mathlib.Analysis.Calculus.Deriv.Add Mathlib.Analysis.SpecialFunctions.CompareExp Mathlib.Analysis.Calculus.ContDiff.FaaDiBruno Mathlib.Combinatorics.Derangements.Exponential Mathlib.Combinatorics.Additive.Corner.Roth Mathlib.MeasureTheory.Function.LpSeminorm.Basic Mathlib.Analysis.SpecialFunctions.Complex.Log Mathlib.Analysis.Calculus.FDeriv.WithLp Mathlib.Analysis.Calculus.FDeriv.Linear Mathlib.Algebra.Polynomial.SpecificDegree Mathlib.Topology.VectorBundle.Hom Mathlib.Analysis.Complex.UnitDisc.Basic Mathlib.Analysis.SpecialFunctions.Exp Mathlib.Analysis.Normed.Algebra.Norm Mathlib.Computability.AkraBazzi.GrowsPolynomially Mathlib.Analysis.Calculus.IteratedDeriv.Lemmas Mathlib.Analysis.SpecialFunctions.Trigonometric.Arctan Mathlib.Analysis.Calculus.AddTorsor.AffineMap Mathlib.Analysis.Calculus.FDeriv.Analytic Mathlib.Analysis.Calculus.FDeriv.Star Mathlib.Analysis.Calculus.FDeriv.Bilinear Mathlib.Analysis.Complex.Circle Mathlib.Analysis.SpecialFunctions.PolynomialExp Mathlib.Analysis.Calculus.Deriv.Linear Mathlib.NumberTheory.SumPrimeReciprocals Mathlib.MeasureTheory.Function.LpSeminorm.Trim Mathlib.Analysis.PSeries Mathlib.MeasureTheory.Function.LpSpace Mathlib.Analysis.Calculus.FDeriv.Add Mathlib.Analysis.Calculus.ContDiff.FTaylorSeries Mathlib.NumberTheory.EulerProduct.Basic Mathlib.Analysis.SpecialFunctions.Pow.Continuity Mathlib.LinearAlgebra.Matrix.Polynomial Mathlib.MeasureTheory.Function.LpSeminorm.TriangleInequality Mathlib.Analysis.Calculus.FDeriv.Pi Mathlib.Analysis.Calculus.Deriv.Pow Mathlib.Analysis.SpecialFunctions.Log.ENNRealLogExp Mathlib.Algebra.Polynomial.RingDivision Mathlib.Combinatorics.SimpleGraph.Regularity.Increment Mathlib.Analysis.Calculus.InverseFunctionTheorem.FDeriv Mathlib.Algebra.Polynomial.Taylor Mathlib.RingTheory.Polynomial.IntegralNormalization Mathlib.Analysis.SpecificLimits.FloorPow Mathlib.RingTheory.MvPolynomial.Homogeneous Mathlib.Analysis.Normed.Lp.ProdLp Mathlib.Analysis.Normed.Ring.SeminormFromConst Mathlib.Analysis.Analytic.ChangeOrigin Mathlib.Analysis.Calculus.ContDiff.Defs Mathlib.Analysis.SpecialFunctions.Log.Base Mathlib.Analysis.Convex.SpecificFunctions.Pow Mathlib.Analysis.Normed.Lp.lpSpace Mathlib.Analysis.Normed.Ring.Seminorm Mathlib.MeasureTheory.Function.LpSeminorm.ChebyshevMarkov Mathlib.Analysis.Calculus.Deriv.ZPow Mathlib.MeasureTheory.Function.SpecialFunctions.Arctan Mathlib.Algebra.LinearRecurrence Mathlib.Analysis.Calculus.DiffContOnCl Mathlib.Analysis.SpecialFunctions.Complex.Arg Mathlib.Analysis.Calculus.ContDiff.Analytic Mathlib.Topology.ContinuousMap.Units Mathlib.Analysis.Analytic.RadiusLiminf Mathlib.Analysis.Calculus.ContDiff.Bounds Mathlib.NumberTheory.Ostrowski Mathlib.MeasureTheory.Measure.Doubling Mathlib.Analysis.MeanInequalities Mathlib.Probability.Distributions.Poisson Mathlib.Analysis.Normed.Ring.SeminormFromBounded Mathlib.Geometry.Manifold.ConformalGroupoid Mathlib.Algebra.Polynomial.Laurent Mathlib.Computability.TMComputable Mathlib.Analysis.Calculus.Deriv.Prod Mathlib.Analysis.Calculus.ContDiff.Basic Mathlib.Analysis.Calculus.DSlope Mathlib.Analysis.Calculus.Deriv.Mul Mathlib.Analysis.Calculus.Conformal.NormedSpace Mathlib.Analysis.SpecialFunctions.Trigonometric.Inverse Mathlib.Analysis.Normed.Algebra.Exponential Mathlib.Analysis.SpecialFunctions.Trigonometric.Complex Mathlib.Analysis.SpecialFunctions.Exponential Mathlib.Analysis.Analytic.Meromorphic Mathlib.Topology.MetricSpace.GromovHausdorff Mathlib.Analysis.Calculus.IteratedDeriv.Defs Mathlib.Analysis.Calculus.Deriv.Shift Mathlib.Analysis.Calculus.Deriv.Inverse Mathlib.Analysis.Calculus.Darboux Mathlib.MeasureTheory.Function.LpOrder Mathlib.Analysis.Analytic.Linear Mathlib.Analysis.Normed.Lp.LpEquiv Mathlib.Analysis.Calculus.LineDeriv.Basic Mathlib.Algebra.Polynomial.GroupRingAction Mathlib.Analysis.Normed.Ring.Units Mathlib.Analysis.SpecialFunctions.Log.Monotone Mathlib.Analysis.SpecialFunctions.Pow.Asymptotics Mathlib.Analysis.SpecialFunctions.OrdinaryHypergeometric Mathlib.Topology.Algebra.PontryaginDual Mathlib.Analysis.Analytic.Constructions Mathlib.Topology.MetricSpace.Holder Mathlib.Analysis.SpecificLimits.Normed Mathlib.Analysis.Calculus.FDeriv.Prod Mathlib.Analysis.NormedSpace.DualNumber Mathlib.Combinatorics.SimpleGraph.Regularity.Chunk Mathlib.MeasureTheory.Integral.MeanInequalities Mathlib.Topology.VectorBundle.Constructions Mathlib.Analysis.SpecialFunctions.Log.Basic Mathlib.Analysis.Analytic.Composition Mathlib.Topology.VectorBundle.Basic Mathlib.Algebra.Polynomial.SumIteratedDerivative Mathlib.Analysis.Calculus.FDeriv.Mul Mathlib.Analysis.Calculus.Deriv.AffineMap Mathlib.NumberTheory.VonMangoldt Mathlib.Analysis.CStarAlgebra.Exponential Mathlib.Topology.MetricSpace.HolderNorm Mathlib.MeasureTheory.Function.ConvergenceInMeasure Mathlib.Analysis.Normed.Operator.BoundedLinearMaps Mathlib.Analysis.SpecialFunctions.Pow.Real Mathlib.Dynamics.TopologicalEntropy.Semiconj Mathlib.Analysis.SpecialFunctions.Trigonometric.Angle Mathlib.Analysis.Analytic.Basic Mathlib.Analysis.Analytic.Uniqueness Mathlib.MeasureTheory.Function.LpSeminorm.CompareExp Mathlib.Analysis.Calculus.InverseFunctionTheorem.Deriv Mathlib.Topology.MetricSpace.Kuratowski Mathlib.Analysis.Normed.Ring.IsPowMulFaithful Mathlib.Algebra.Polynomial.Lifts Mathlib.Algebra.Order.CompleteField Mathlib.Analysis.Analytic.CPolynomial Mathlib.Combinatorics.SimpleGraph.Regularity.Bound Mathlib.Analysis.Asymptotics.SuperpolynomialDecay Mathlib.Analysis.Calculus.ContDiff.CPolynomial Mathlib.Analysis.Calculus.LocalExtr.Basic Mathlib.Analysis.Analytic.Within Mathlib.Analysis.Calculus.FDeriv.Equiv Mathlib.Dynamics.TopologicalEntropy.CoverEntropy Mathlib.Analysis.CStarAlgebra.lpSpace Mathlib.Analysis.Analytic.IsolatedZeros Mathlib.Analysis.Normed.Group.ControlledClosure Mathlib.Analysis.SpecialFunctions.Complex.Circle Mathlib.Analysis.Analytic.Inverse Mathlib.Combinatorics.SimpleGraph.Regularity.Lemma Mathlib.Algebra.Polynomial.Roots Mathlib.Analysis.NormedSpace.Connected Mathlib.Analysis.Calculus.LogDeriv Mathlib.Analysis.SpecialFunctions.Pow.NNReal Mathlib.Analysis.Convex.SpecificFunctions.Basic Mathlib.Analysis.SpecialFunctions.Trigonometric.Basic Mathlib.Analysis.Calculus.LocalExtr.Rolle Mathlib.Topology.Algebra.Module.Cardinality Mathlib.Analysis.Calculus.LocalExtr.LineDeriv Mathlib.Topology.ContinuousMap.Ideals Mathlib.Analysis.SpecialFunctions.Trigonometric.Series Mathlib.Analysis.Complex.AbelLimit Mathlib.Analysis.SpecialFunctions.Sqrt Mathlib.Analysis.SpecialFunctions.Log.ENNRealLog Mathlib.Analysis.Normed.Algebra.TrivSqZeroExt Mathlib.Analysis.Calculus.ContDiff.WithLp Mathlib.Analysis.Normed.Algebra.UnitizationL1 |
8 |
1198 filesMathlib.Algebra.Homology.ShortComplex.Ab Mathlib.LinearAlgebra.FreeModule.Norm Mathlib.LinearAlgebra.Charpoly.Basic Mathlib.NumberTheory.NumberField.Discriminant.Defs Mathlib.MeasureTheory.Integral.VitaliCaratheodory Mathlib.RingTheory.FractionalIdeal.Norm Mathlib.Algebra.Polynomial.FieldDivision Mathlib.Geometry.RingedSpace.PresheafedSpace.Gluing Mathlib.Combinatorics.Additive.ErdosGinzburgZiv Mathlib.AlgebraicGeometry.Morphisms.OpenImmersion Mathlib.RingTheory.IsAdjoinRoot Mathlib.AlgebraicGeometry.Modules.Sheaf Mathlib.Analysis.BoxIntegral.UnitPartition Mathlib.LinearAlgebra.Matrix.Charpoly.Eigs Mathlib.Analysis.CStarAlgebra.GelfandDuality Mathlib.Probability.Process.HittingTime Mathlib.NumberTheory.RamificationInertia.Basic Mathlib.Analysis.InnerProductSpace.Spectrum Mathlib.Analysis.InnerProductSpace.Symmetric Mathlib.Analysis.InnerProductSpace.OfNorm Mathlib.NumberTheory.Cyclotomic.Rat Mathlib.RingTheory.DedekindDomain.Dvr Mathlib.RingTheory.Henselian Mathlib.LinearAlgebra.QuadraticForm.QuadraticModuleCat.Symmetric Mathlib.FieldTheory.IsPerfectClosure Mathlib.Probability.BorelCantelli Mathlib.Analysis.SpecialFunctions.Complex.LogDeriv Mathlib.NumberTheory.Wilson Mathlib.Geometry.Manifold.ContMDiff.Atlas Mathlib.RingTheory.Polynomial.Content Mathlib.RepresentationTheory.GroupCohomology.Hilbert90 Mathlib.RingTheory.Localization.AtPrime Mathlib.RingTheory.IntegralClosure.IsIntegralClosure.Defs Mathlib.NumberTheory.LSeries.HurwitzZetaValues Mathlib.RingTheory.PowerBasis Mathlib.Algebra.Symmetrized Mathlib.Algebra.Lie.Normalizer Mathlib.Analysis.SpecialFunctions.Gamma.Basic Mathlib.Geometry.Manifold.VectorBundle.Pullback Mathlib.FieldTheory.Finite.Trace Mathlib.NumberTheory.Padics.MahlerBasis Mathlib.NumberTheory.Transcendental.Liouville.LiouvilleWith Mathlib.AlgebraicGeometry.Sites.Etale Mathlib.LinearAlgebra.Matrix.Charpoly.Coeff Mathlib.Analysis.NormedSpace.HahnBanach.SeparatingDual Mathlib.LinearAlgebra.Matrix.ZPow Mathlib.Algebra.Category.ModuleCat.Limits Mathlib.Analysis.Convex.AmpleSet Mathlib.Probability.Variance Mathlib.Analysis.Complex.Angle Mathlib.LinearAlgebra.Matrix.PosDef Mathlib.Algebra.Category.FGModuleCat.Limits Mathlib.Analysis.SpecialFunctions.Integrals Mathlib.NumberTheory.Harmonic.ZetaAsymp Mathlib.Dynamics.Ergodic.AddCircle Mathlib.Analysis.Calculus.BumpFunction.Convolution Mathlib.Analysis.Fourier.PoissonSummation Mathlib.AlgebraicGeometry.Morphisms.Proper Mathlib.Analysis.InnerProductSpace.Rayleigh Mathlib.Analysis.Normed.Module.Dual Mathlib.AlgebraicGeometry.EllipticCurve.J Mathlib.NumberTheory.Padics.PadicIntegers Mathlib.LinearAlgebra.ExteriorAlgebra.Grading Mathlib.NumberTheory.NumberField.Discriminant.Basic Mathlib.AlgebraicGeometry.EllipticCurve.NormalForms Mathlib.NumberTheory.Cyclotomic.Discriminant Mathlib.NumberTheory.MulChar.Lemmas Mathlib.AlgebraicGeometry.Morphisms.Preimmersion Mathlib.RingTheory.PowerSeries.WellKnown Mathlib.Geometry.Manifold.VectorBundle.Basic Mathlib.Analysis.Calculus.Deriv.Abs Mathlib.Analysis.SpecialFunctions.Trigonometric.Bounds Mathlib.MeasureTheory.Measure.FiniteMeasure Mathlib.Tactic.FunProp.ContDiff Mathlib.AlgebraicGeometry.PrimeSpectrum.TensorProduct Mathlib.MeasureTheory.Integral.IntervalAverage Mathlib.Analysis.Distribution.FourierSchwartz Mathlib.Analysis.Calculus.ParametricIntervalIntegral Mathlib.RingTheory.WittVector.Domain Mathlib.MeasureTheory.Measure.ProbabilityMeasure Mathlib.Geometry.Manifold.VectorBundle.Tangent Mathlib.RingTheory.Artinian Mathlib.FieldTheory.Laurent Mathlib.MeasureTheory.Function.UnifTight Mathlib.NumberTheory.GaussSum Mathlib.Algebra.Category.Ring.Instances Mathlib.Algebra.Lie.Quotient Mathlib.Geometry.Manifold.Diffeomorph Mathlib.LinearAlgebra.FreeModule.StrongRankCondition Mathlib.Condensed.Limits Mathlib.MeasureTheory.Measure.Lebesgue.Complex Mathlib.LinearAlgebra.BilinearForm.DualLattice Mathlib.NumberTheory.EulerProduct.DirichletLSeries Mathlib.RingTheory.DedekindDomain.Ideal Mathlib.Algebra.Category.ModuleCat.Abelian Mathlib.AlgebraicGeometry.ProjectiveSpectrum.Basic Mathlib.Analysis.InnerProductSpace.WeakOperatorTopology Mathlib.MeasureTheory.Integral.IntervalIntegral Mathlib.Topology.ContinuousMap.Polynomial Mathlib.CategoryTheory.Abelian.Ext Mathlib.AlgebraicGeometry.Sites.MorphismProperty Mathlib.AlgebraicGeometry.Sites.BigZariski Mathlib.Analysis.Complex.AbsMax Mathlib.RingTheory.Ideal.Over Mathlib.NumberTheory.Cyclotomic.CyclotomicCharacter Mathlib.Analysis.InnerProductSpace.ProdL2 Mathlib.Probability.Kernel.Disintegration.CDFToKernel Mathlib.RingTheory.LocalRing.Quotient Mathlib.Algebra.Category.ModuleCat.Differentials.Basic Mathlib.Data.Real.GoldenRatio Mathlib.RingTheory.WittVector.InitTail Mathlib.Geometry.Manifold.MFDeriv.Basic Mathlib.Analysis.CStarAlgebra.Spectrum Mathlib.RingTheory.Valuation.ExtendToLocalization Mathlib.Geometry.Manifold.Instances.Real Mathlib.RingTheory.Localization.NormTrace Mathlib.Analysis.SpecialFunctions.Trigonometric.ComplexDeriv Mathlib.LinearAlgebra.Lagrange Mathlib.RingTheory.AdicCompletion.Basic Mathlib.Algebra.Ring.Subring.IntPolynomial Mathlib.Geometry.Manifold.Complex Mathlib.LinearAlgebra.Coevaluation Mathlib.Algebra.Lie.Submodule Mathlib.FieldTheory.AbelRuffini Mathlib.RingTheory.ClassGroup Mathlib.AlgebraicGeometry.Morphisms.Basic Mathlib.NumberTheory.LSeries.DirichletContinuation Mathlib.MeasureTheory.Integral.CircleIntegral Mathlib.Probability.StrongLaw Mathlib.Analysis.CStarAlgebra.ContinuousFunctionalCalculus.Unital Mathlib.Algebra.Category.Grp.AB5 Mathlib.RingTheory.Regular.RegularSequence Mathlib.Analysis.Normed.Module.FiniteDimension Mathlib.MeasureTheory.Function.ConditionalExpectation.Unique Mathlib.NumberTheory.NumberField.FractionalIdeal Mathlib.AlgebraicGeometry.Morphisms.IsIso Mathlib.RingTheory.Derivation.Lie Mathlib.AlgebraicGeometry.Modules.Presheaf Mathlib.Analysis.SpecialFunctions.Gaussian.GaussianIntegral Mathlib.Algebra.Module.DedekindDomain Mathlib.RingTheory.Trace.Defs Mathlib.RingTheory.WittVector.Compare Mathlib.RingTheory.RootsOfUnity.PrimitiveRoots Mathlib.Analysis.SpecialFunctions.Gamma.Beta Mathlib.FieldTheory.IsAlgClosed.AlgebraicClosure Mathlib.MeasureTheory.Integral.TorusIntegral Mathlib.Analysis.Complex.Isometry Mathlib.RingTheory.Adjoin.PowerBasis Mathlib.Geometry.Manifold.MFDeriv.FDeriv Mathlib.Algebra.Category.ModuleCat.ChangeOfRings Mathlib.Analysis.Convex.Side Mathlib.MeasureTheory.Function.L2Space Mathlib.MeasureTheory.Measure.LevyProkhorovMetric Mathlib.CategoryTheory.Sites.SheafCohomology.Basic Mathlib.Algebra.Polynomial.AlgebraMap Mathlib.RingTheory.Polynomial.Quotient Mathlib.Algebra.Module.ZLattice.Covolume Mathlib.RingTheory.AdicCompletion.Functoriality Mathlib.Algebra.CharP.LocalRing Mathlib.LinearAlgebra.PID Mathlib.RingTheory.LaurentSeries Mathlib.NumberTheory.ModularForms.Identities Mathlib.Algebra.Category.ModuleCat.Presheaf.Limits Mathlib.MeasureTheory.Function.ContinuousMapDense Mathlib.Analysis.Complex.Periodic Mathlib.Geometry.Manifold.ContMDiffMap Mathlib.Algebra.MvPolynomial.Funext Mathlib.NumberTheory.NumberField.Norm Mathlib.Topology.Category.Profinite.Nobeling Mathlib.LinearAlgebra.FreeModule.Determinant Mathlib.ModelTheory.Algebra.Ring.Definability Mathlib.FieldTheory.Isaacs Mathlib.Analysis.Complex.TaylorSeries Mathlib.Analysis.Normed.Algebra.Spectrum Mathlib.Condensed.Light.Explicit Mathlib.Geometry.Manifold.MFDeriv.SpecificFunctions Mathlib.Analysis.Fourier.FiniteAbelian.PontryaginDuality Mathlib.Analysis.FunctionalSpaces.SobolevInequality Mathlib.LinearAlgebra.QuadraticForm.Prod Mathlib.RingTheory.Trace.Basic Mathlib.NumberTheory.LSeries.ZMod Mathlib.Analysis.SpecialFunctions.Trigonometric.Chebyshev Mathlib.Analysis.CStarAlgebra.Module.Constructions Mathlib.Probability.Distributions.Exponential Mathlib.RingTheory.WittVector.MulCoeff Mathlib.RingTheory.RingHom.FiniteType Mathlib.Analysis.CStarAlgebra.ContinuousFunctionalCalculus.Isometric Mathlib.Analysis.SpecialFunctions.Complex.Arctan Mathlib.RingTheory.Algebraic.Cardinality Mathlib.Topology.Sheaves.CommRingCat Mathlib.LinearAlgebra.CliffordAlgebra.Conjugation Mathlib.Algebra.Lie.Nilpotent Mathlib.Analysis.BoxIntegral.Partition.Measure Mathlib.LinearAlgebra.Charpoly.ToMatrix Mathlib.FieldTheory.Normal Mathlib.RingTheory.DiscreteValuationRing.Basic Mathlib.Probability.Kernel.Composition Mathlib.Topology.Sheaves.MayerVietoris Mathlib.Algebra.Category.Grp.Abelian Mathlib.LinearAlgebra.FreeModule.IdealQuotient Mathlib.RingTheory.Polynomial.Tower Mathlib.Algebra.Category.AlgebraCat.Limits Mathlib.Probability.Martingale.Upcrossing Mathlib.MeasureTheory.Function.SimpleFuncDenseLp Mathlib.RingTheory.Jacobson Mathlib.Analysis.RCLike.Lemmas Mathlib.Condensed.Explicit Mathlib.Data.Nat.Choose.Lucas Mathlib.Algebra.Polynomial.Splits Mathlib.Probability.Martingale.OptionalSampling Mathlib.RingTheory.Localization.AsSubring Mathlib.RingTheory.Norm.Defs Mathlib.RingTheory.Kaehler.Polynomial Mathlib.Algebra.Category.ModuleCat.Sheaf.Colimits Mathlib.Analysis.RCLike.Inner Mathlib.RingTheory.Localization.Finiteness Mathlib.RingTheory.WittVector.Identities Mathlib.Condensed.Module Mathlib.AlgebraicGeometry.Morphisms.UnderlyingMap Mathlib.Condensed.Discrete.Characterization Mathlib.Analysis.Convex.GaugeRescale Mathlib.LinearAlgebra.RootSystem.RootPairingCat Mathlib.FieldTheory.Minpoly.Basic Mathlib.FieldTheory.Adjoin Mathlib.MeasureTheory.Integral.DivergenceTheorem Mathlib.AlgebraicGeometry.Morphisms.QuasiCompact Mathlib.RingTheory.Polynomial.Dickson Mathlib.Analysis.SpecialFunctions.Log.NegMulLog Mathlib.AlgebraicGeometry.Morphisms.ClosedImmersion Mathlib.Analysis.Calculus.BumpFunction.Basic Mathlib.NumberTheory.NumberField.EquivReindex Mathlib.RepresentationTheory.GroupCohomology.Resolution Mathlib.LinearAlgebra.Matrix.Gershgorin Mathlib.RingTheory.Localization.Integral Mathlib.AlgebraicGeometry.Morphisms.Integral Mathlib.Algebra.Lie.Derivation.Killing Mathlib.MeasureTheory.Measure.LogLikelihoodRatio Mathlib.RingTheory.AdicCompletion.Exactness Mathlib.FieldTheory.SeparableClosure Mathlib.RingTheory.WittVector.Truncated Mathlib.NumberTheory.Cyclotomic.PrimitiveRoots Mathlib.NumberTheory.SiegelsLemma Mathlib.LinearAlgebra.JordanChevalley Mathlib.Analysis.SpecialFunctions.ImproperIntegrals Mathlib.AlgebraicGeometry.Noetherian Mathlib.AlgebraicGeometry.Morphisms.RingHomProperties Mathlib.Analysis.InnerProductSpace.Dual Mathlib.FieldTheory.ChevalleyWarning Mathlib.RingTheory.Polynomial.Hermite.Gaussian Mathlib.FieldTheory.IsAlgClosed.Classification Mathlib.LinearAlgebra.QuadraticForm.Basic Mathlib.Analysis.CStarAlgebra.ContinuousFunctionalCalculus.Unitary Mathlib.Analysis.Calculus.AddTorsor.Coord Mathlib.Algebra.Category.ModuleCat.Sheaf Mathlib.LinearAlgebra.QuadraticForm.Basis Mathlib.RepresentationTheory.Rep Mathlib.AlgebraicGeometry.EllipticCurve.Affine Mathlib.AlgebraicGeometry.EllipticCurve.Group Mathlib.RingTheory.RingHom.StandardSmooth Mathlib.Algebra.Module.Presentation.Differentials Mathlib.Analysis.Fourier.ZMod Mathlib.Analysis.SpecialFunctions.Complex.LogBounds Mathlib.NumberTheory.ModularForms.SlashActions Mathlib.Analysis.SpecialFunctions.Gamma.Deligne Mathlib.Algebra.Category.ModuleCat.Sheaf.Free Mathlib.Analysis.Complex.PhragmenLindelof Mathlib.NumberTheory.Zsqrtd.QuadraticReciprocity Mathlib.Algebra.CubicDiscriminant Mathlib.LinearAlgebra.QuadraticForm.QuadraticModuleCat Mathlib.Analysis.Calculus.SmoothSeries Mathlib.RingTheory.Ideal.MinimalPrime Mathlib.NumberTheory.ModularForms.JacobiTheta.Manifold Mathlib.Analysis.Calculus.InverseFunctionTheorem.ContDiff Mathlib.Algebra.Lie.Free Mathlib.Analysis.InnerProductSpace.NormPow Mathlib.Algebra.Module.ZLattice.Basic Mathlib.Analysis.Convex.Intrinsic Mathlib.LinearAlgebra.BilinearForm.Orthogonal Mathlib.Analysis.Calculus.Deriv.Polynomial Mathlib.MeasureTheory.Measure.Lebesgue.VolumeOfBalls Mathlib.AlgebraicGeometry.Sites.Small Mathlib.RingTheory.Polynomial.IrreducibleRing Mathlib.MeasureTheory.Integral.FundThmCalculus Mathlib.AlgebraicGeometry.Spec Mathlib.NumberTheory.Cyclotomic.Three Mathlib.Probability.Kernel.Disintegration.Integral Mathlib.RingTheory.RingHom.Finite Mathlib.NumberTheory.LSeries.HurwitzZetaEven Mathlib.Analysis.CStarAlgebra.Matrix Mathlib.RingTheory.Unramified.Field Mathlib.RingTheory.EssentialFiniteness Mathlib.FieldTheory.IntermediateField.Algebraic Mathlib.Algebra.GCDMonoid.IntegrallyClosed Mathlib.LinearAlgebra.PerfectPairing Mathlib.NumberTheory.DirichletCharacter.Orthogonality Mathlib.FieldTheory.SeparableDegree Mathlib.Geometry.Manifold.PoincareConjecture Mathlib.FieldTheory.Minpoly.MinpolyDiv Mathlib.Algebra.Homology.ShortComplex.ModuleCat Mathlib.MeasureTheory.Measure.Portmanteau Mathlib.RingTheory.PowerSeries.Derivative Mathlib.NumberTheory.LSeries.Deriv Mathlib.AlgebraicGeometry.ResidueField Mathlib.MeasureTheory.Measure.Haar.NormedSpace Mathlib.LinearAlgebra.Matrix.Charpoly.LinearMap Mathlib.AlgebraicGeometry.Morphisms.UniversallyInjective Mathlib.RingTheory.Ideal.Cotangent Mathlib.Analysis.Fourier.AddCircle Mathlib.Analysis.SpecialFunctions.Gaussian.PoissonSummation Mathlib.RingTheory.Nullstellensatz Mathlib.MeasureTheory.Measure.Lebesgue.EqHaar Mathlib.Analysis.Calculus.MeanValue Mathlib.Analysis.Calculus.LineDeriv.QuadraticMap Mathlib.Analysis.Fourier.Inversion Mathlib.Analysis.Normed.Algebra.QuaternionExponential Mathlib.Computability.AkraBazzi.AkraBazzi Mathlib.LinearAlgebra.Matrix.Charpoly.Minpoly Mathlib.Algebra.Lie.CartanSubalgebra Mathlib.LinearAlgebra.Trace Mathlib.RingTheory.Polynomial.Radical Mathlib.Algebra.Lie.IdealOperations Mathlib.Analysis.SpecialFunctions.ContinuousFunctionalCalculus.Rpow Mathlib.Algebra.Algebra.Subalgebra.Rank Mathlib.AlgebraicGeometry.Over Mathlib.NumberTheory.NumberField.Completion Mathlib.Probability.Kernel.WithDensity Mathlib.Analysis.SpecialFunctions.NonIntegrable Mathlib.Geometry.Euclidean.Angle.Oriented.Basic Mathlib.FieldTheory.Galois.GaloisClosure Mathlib.Topology.Algebra.Valued.NormedValued Mathlib.LinearAlgebra.Matrix.FiniteDimensional Mathlib.MeasureTheory.Function.ConditionalExpectation.AEMeasurable Mathlib.FieldTheory.Fixed Mathlib.AlgebraicGeometry.PrimeSpectrum.Basic Mathlib.RingTheory.Adjoin.Field Mathlib.Geometry.Euclidean.Sphere.Ptolemy Mathlib.AlgebraicGeometry.Pullbacks Mathlib.RingTheory.Derivation.Basic Mathlib.FieldTheory.Finite.Basic Mathlib.Topology.Algebra.Module.FiniteDimension Mathlib.Analysis.Normed.Algebra.MatrixExponential Mathlib.RingTheory.IntegralClosure.IntegralRestrict Mathlib.Analysis.Calculus.Taylor Mathlib.MeasureTheory.Group.AddCircle Mathlib.RingTheory.DualNumber Mathlib.Probability.Independence.ZeroOne Mathlib.Analysis.SpecialFunctions.Complex.Analytic Mathlib.NumberTheory.ClassNumber.AdmissibleCardPowDegree Mathlib.NumberTheory.ModularForms.EisensteinSeries.Basic Mathlib.Algebra.Lie.TraceForm Mathlib.Analysis.LocallyConvex.WeakSpace Mathlib.Analysis.Calculus.LHopital Mathlib.Analysis.Convex.Cone.Pointed Mathlib.Probability.Kernel.Disintegration.StandardBorel Mathlib.MeasureTheory.Function.UniformIntegrable Mathlib.LinearAlgebra.RootSystem.OfBilinear Mathlib.MeasureTheory.Measure.Hausdorff Mathlib.AlgebraicGeometry.ProjectiveSpectrum.Scheme Mathlib.LinearAlgebra.Matrix.Ideal Mathlib.Algebra.Category.ModuleCat.Differentials.Presheaf Mathlib.NumberTheory.ModularForms.SlashInvariantForms Mathlib.Geometry.Manifold.SmoothManifoldWithCorners Mathlib.FieldTheory.SplittingField.IsSplittingField Mathlib.FieldTheory.IsSepClosed Mathlib.Algebra.Lie.Killing Mathlib.LinearAlgebra.Matrix.GeneralLinearGroup.Defs Mathlib.LinearAlgebra.CliffordAlgebra.SpinGroup Mathlib.AlgebraicGeometry.PrimeSpectrum.Jacobson Mathlib.Algebra.Lie.Derivation.AdjointAction Mathlib.LinearAlgebra.QuadraticForm.QuadraticModuleCat.Monoidal Mathlib.Analysis.CStarAlgebra.ContinuousFunctionalCalculus.Restrict Mathlib.Probability.Distributions.Gaussian Mathlib.Probability.Kernel.CondDistrib Mathlib.Analysis.Calculus.FDeriv.Measurable Mathlib.Analysis.Calculus.UniformLimitsDeriv Mathlib.RingTheory.RootsOfUnity.Lemmas Mathlib.NumberTheory.ModularForms.LevelOne Mathlib.MeasureTheory.Integral.Bochner Mathlib.Algebra.Lie.Character Mathlib.Analysis.CStarAlgebra.SpecialFunctions.PosPart Mathlib.RingTheory.Presentation Mathlib.Analysis.SpecialFunctions.ContinuousFunctionalCalculus.PosPart Mathlib.MeasureTheory.Measure.Haar.Unique Mathlib.Geometry.Manifold.BumpFunction Mathlib.Analysis.Calculus.FDeriv.Extend Mathlib.Algebra.Lie.DirectSum Mathlib.Probability.Martingale.Basic Mathlib.Analysis.InnerProductSpace.GramSchmidtOrtho Mathlib.Algebra.Polynomial.Expand Mathlib.FieldTheory.Finite.Polynomial Mathlib.NumberTheory.Cyclotomic.Gal Mathlib.Geometry.Manifold.IntegralCurve.Basic Mathlib.MeasureTheory.Decomposition.RadonNikodym Mathlib.Probability.Kernel.RadonNikodym Mathlib.RingTheory.Polynomial.Vieta Mathlib.RingTheory.Kaehler.CotangentComplex Mathlib.Algebra.Category.ModuleCat.Sheaf.ChangeOfRings Mathlib.NumberTheory.Harmonic.GammaDeriv Mathlib.Geometry.Manifold.InteriorBoundary Mathlib.FieldTheory.Extension Mathlib.LinearAlgebra.Orientation Mathlib.Algebra.Category.ModuleCat.Biproducts Mathlib.RingTheory.Derivation.ToSquareZero Mathlib.NumberTheory.LSeries.Basic Mathlib.Geometry.Manifold.ContMDiffMFDeriv Mathlib.NumberTheory.NumberField.CanonicalEmbedding.FundamentalCone Mathlib.MeasureTheory.Decomposition.SignedLebesgue Mathlib.NumberTheory.SumFourSquares Mathlib.Combinatorics.Configuration Mathlib.AlgebraicGeometry.Properties Mathlib.Analysis.Convex.StrictConvexSpace Mathlib.Geometry.Manifold.ContMDiff.Basic Mathlib.MeasureTheory.Measure.WithDensityFinite Mathlib.Geometry.Euclidean.Sphere.Power Mathlib.RingTheory.Etale.Field Mathlib.Data.Real.Pi.Irrational Mathlib.RingTheory.FinitePresentation Mathlib.AlgebraicGeometry.Morphisms.Affine Mathlib.Analysis.Complex.CauchyIntegral Mathlib.RingTheory.IntegralClosure.Algebra.Defs Mathlib.LinearAlgebra.Semisimple Mathlib.FieldTheory.AbsoluteGaloisGroup Mathlib.LinearAlgebra.RootSystem.Basic Mathlib.Analysis.InnerProductSpace.JointEigenspace Mathlib.Algebra.Lie.Weights.Basic Mathlib.Algebra.Lie.Weights.RootSystem Mathlib.RingTheory.DividedPowers.Basic Mathlib.Analysis.SpecialFunctions.Pow.Deriv Mathlib.MeasureTheory.Group.GeometryOfNumbers Mathlib.Analysis.SpecialFunctions.PolarCoord Mathlib.AlgebraicGeometry.Morphisms.Immersion Mathlib.MeasureTheory.Covering.LiminfLimsup Mathlib.Geometry.Euclidean.Angle.Sphere Mathlib.Analysis.InnerProductSpace.LinearPMap Mathlib.Analysis.Complex.UpperHalfPlane.Topology Mathlib.Analysis.Complex.IsIntegral Mathlib.RepresentationTheory.Invariants Mathlib.RingTheory.Valuation.Integral Mathlib.FieldTheory.RatFunc.AsPolynomial Mathlib.RingTheory.RingHom.Injective Mathlib.RingTheory.Flat.CategoryTheory Mathlib.RingTheory.MvPolynomial.Localization Mathlib.RingTheory.Localization.LocalizationLocalization Mathlib.MeasureTheory.Order.UpperLower Mathlib.NumberTheory.Rayleigh Mathlib.Analysis.Calculus.ParametricIntegral Mathlib.MeasureTheory.Function.AEEqFun.DomAct Mathlib.Probability.Martingale.Convergence Mathlib.Condensed.Solid Mathlib.FieldTheory.KrullTopology Mathlib.Analysis.Complex.UpperHalfPlane.Metric Mathlib.RingTheory.LittleWedderburn Mathlib.Geometry.Manifold.MFDeriv.UniqueDifferential Mathlib.MeasureTheory.Function.LpSpace.DomAct.Basic Mathlib.MeasureTheory.Function.StronglyMeasurable.Inner Mathlib.Algebra.Category.ModuleCat.EnoughInjectives Mathlib.RingTheory.Unramified.Pi Mathlib.Probability.Kernel.IntegralCompProd Mathlib.AlgebraicGeometry.Morphisms.Separated Mathlib.LinearAlgebra.TensorAlgebra.Basis Mathlib.Condensed.Discrete.Module Mathlib.NumberTheory.ModularForms.JacobiTheta.OneVariable Mathlib.CategoryTheory.Preadditive.Schur Mathlib.RingTheory.Generators Mathlib.Analysis.InnerProductSpace.Basic Mathlib.RingTheory.Adjoin.Tower Mathlib.Algebra.Category.Ring.LinearAlgebra Mathlib.MeasureTheory.Function.AEEqOfIntegral Mathlib.Probability.Kernel.Disintegration.CondCDF Mathlib.Geometry.RingedSpace.OpenImmersion Mathlib.Analysis.Complex.OperatorNorm Mathlib.Data.Complex.Determinant Mathlib.Analysis.PSeriesComplex Mathlib.RingTheory.PolynomialAlgebra Mathlib.FieldTheory.Relrank Mathlib.Topology.Compactness.DeltaGeneratedSpace Mathlib.Algebra.Category.ModuleCat.Sheaf.Limits Mathlib.Analysis.Calculus.LagrangeMultipliers Mathlib.Probability.Kernel.Disintegration.Density Mathlib.LinearAlgebra.BilinearForm.Properties Mathlib.RingTheory.MvPolynomial.FreeCommRing Mathlib.RingTheory.Polynomial.Cyclotomic.Basic Mathlib.RingTheory.Ideal.Norm.AbsNorm Mathlib.Analysis.Convex.Integral Mathlib.MeasureTheory.Covering.BesicovitchVectorSpace Mathlib.AlgebraicGeometry.RationalMap Mathlib.AlgebraicGeometry.Modules.Tilde Mathlib.AlgebraicGeometry.Morphisms.Finite Mathlib.FieldTheory.Galois.Profinite Mathlib.RingTheory.Polynomial.Bernstein Mathlib.AlgebraicGeometry.Cover.Over Mathlib.FieldTheory.LinearDisjoint Mathlib.AlgebraicGeometry.PrimeSpectrum.Noetherian Mathlib.RingTheory.Ideal.Norm.RelNorm Mathlib.LinearAlgebra.CliffordAlgebra.Star Mathlib.RingTheory.DiscreteValuationRing.TFAE Mathlib.NumberTheory.MulChar.Duality Mathlib.MeasureTheory.Integral.Prod Mathlib.NumberTheory.Cyclotomic.Embeddings Mathlib.MeasureTheory.Integral.Layercake Mathlib.Condensed.Light.Epi Mathlib.Geometry.Euclidean.Circumcenter Mathlib.LinearAlgebra.Matrix.Nondegenerate Mathlib.Analysis.CStarAlgebra.Module.Defs Mathlib.Analysis.Complex.Schwarz Mathlib.NumberTheory.LegendreSymbol.Basic Mathlib.RingTheory.Adjoin.FG Mathlib.Analysis.Fourier.FourierTransformDeriv Mathlib.CategoryTheory.Abelian.Injective Mathlib.Dynamics.Newton Mathlib.RingTheory.Polynomial.Cyclotomic.Roots Mathlib.RingTheory.FiniteStability Mathlib.RingTheory.Localization.InvSubmonoid Mathlib.Analysis.Complex.UpperHalfPlane.Manifold Mathlib.LinearAlgebra.TensorProduct.Matrix Mathlib.FieldTheory.Finite.GaloisField Mathlib.MeasureTheory.Measure.Haar.InnerProductSpace Mathlib.RingTheory.IntegralClosure.IsIntegralClosure.Basic Mathlib.RepresentationTheory.Character Mathlib.AlgebraicGeometry.PrimeSpectrum.Module Mathlib.Algebra.Homology.DerivedCategory.Ext.ExactSequences Mathlib.RingTheory.RingHom.FinitePresentation Mathlib.Algebra.MvPolynomial.Derivation Mathlib.NumberTheory.LSeries.RiemannZeta Mathlib.MeasureTheory.Covering.OneDim Mathlib.Data.Real.Pi.Leibniz Mathlib.LinearAlgebra.QuadraticForm.Real Mathlib.LinearAlgebra.CliffordAlgebra.Equivs Mathlib.RingTheory.DedekindDomain.IntegralClosure Mathlib.RepresentationTheory.Basic Mathlib.RingTheory.DedekindDomain.FiniteAdeleRing Mathlib.NumberTheory.FLT.Three Mathlib.FieldTheory.Galois.Basic Mathlib.RingTheory.WittVector.Verschiebung Mathlib.RingTheory.Filtration Mathlib.Geometry.Manifold.Algebra.SmoothFunctions Mathlib.Geometry.Euclidean.Inversion.Calculus Mathlib.Algebra.Lie.SkewAdjoint Mathlib.Analysis.Calculus.FirstDerivativeTest Mathlib.RingTheory.Nakayama Mathlib.RingTheory.LocalRing.MaximalIdeal.Basic Mathlib.Analysis.InnerProductSpace.Positive Mathlib.CategoryTheory.Abelian.Projective Mathlib.LinearAlgebra.CliffordAlgebra.Fold Mathlib.NumberTheory.NumberField.CanonicalEmbedding.ConvexBody Mathlib.LinearAlgebra.FreeModule.Finite.Matrix Mathlib.LinearAlgebra.Matrix.Charpoly.Basic Mathlib.Algebra.Lie.Weights.Chain Mathlib.RingTheory.Algebraic Mathlib.Analysis.CStarAlgebra.ContinuousFunctionalCalculus.NonUnital Mathlib.NumberTheory.NumberField.Units.Basic Mathlib.Algebra.Polynomial.Derivation Mathlib.Probability.Kernel.Invariance Mathlib.Analysis.CStarAlgebra.ContinuousFunctionalCalculus.Integral Mathlib.RingTheory.Valuation.RamificationGroup Mathlib.Probability.Distributions.Uniform Mathlib.RingTheory.MvPolynomial Mathlib.Geometry.Euclidean.Sphere.SecondInter Mathlib.Geometry.Euclidean.Basic Mathlib.Algebra.Lie.Matrix Mathlib.MeasureTheory.Covering.DensityTheorem Mathlib.MeasureTheory.Constructions.UnitInterval Mathlib.Data.Matrix.Rank Mathlib.NumberTheory.LegendreSymbol.GaussEisensteinLemmas Mathlib.Analysis.CStarAlgebra.ContinuousFunctionalCalculus.Unique Mathlib.NumberTheory.DirichletCharacter.GaussSum Mathlib.LinearAlgebra.QuadraticForm.Complex Mathlib.MeasureTheory.Measure.FiniteMeasureProd Mathlib.Geometry.Manifold.Sheaf.Smooth Mathlib.Geometry.Manifold.VectorBundle.Hom Mathlib.Analysis.InnerProductSpace.Orthogonal Mathlib.Probability.Kernel.MeasurableIntegral Mathlib.Geometry.Euclidean.MongePoint Mathlib.Topology.CWComplex Mathlib.Analysis.Calculus.InverseFunctionTheorem.FiniteDimensional Mathlib.Algebra.AlgebraicCard Mathlib.NumberTheory.ModularForms.JacobiTheta.Bounds Mathlib.Data.Real.Irrational Mathlib.AlgebraicGeometry.EllipticCurve.DivisionPolynomial.Basic Mathlib.Algebra.Module.FreeLocus Mathlib.AlgebraicGeometry.SpreadingOut Mathlib.AlgebraicGeometry.StructureSheaf Mathlib.LinearAlgebra.Contraction Mathlib.LinearAlgebra.Matrix.BilinearForm Mathlib.FieldTheory.PrimitiveElement Mathlib.RingTheory.Binomial Mathlib.Geometry.Euclidean.Sphere.Basic Mathlib.RingTheory.RingHom.Integral Mathlib.Geometry.Euclidean.Angle.Unoriented.RightAngle Mathlib.NumberTheory.ModularForms.EisensteinSeries.MDifferentiable Mathlib.AlgebraicGeometry.Morphisms.AffineAnd Mathlib.RingTheory.Smooth.Basic Mathlib.LinearAlgebra.CliffordAlgebra.Even Mathlib.AlgebraicGeometry.AffineSpace Mathlib.LinearAlgebra.Multilinear.FiniteDimensional Mathlib.Combinatorics.Additive.Randomisation Mathlib.NumberTheory.LSeries.Dirichlet Mathlib.Algebra.Polynomial.Module.Basic Mathlib.Analysis.InnerProductSpace.Projection Mathlib.NumberTheory.Fermat Mathlib.NumberTheory.Transcendental.Liouville.Residual Mathlib.MeasureTheory.Integral.Asymptotics Mathlib.Algebra.Lie.Semisimple.Defs Mathlib.Algebra.Polynomial.Degree.CardPowDegree Mathlib.LinearAlgebra.Eigenspace.Triangularizable Mathlib.Analysis.CStarAlgebra.ApproximateUnit Mathlib.Geometry.Euclidean.Angle.Unoriented.Basic Mathlib.MeasureTheory.Function.SpecialFunctions.RCLike Mathlib.RingTheory.SurjectiveOnStalks Mathlib.Analysis.SpecialFunctions.ContinuousFunctionalCalculus.ExpLog Mathlib.Tactic.NormNum.LegendreSymbol Mathlib.Geometry.Euclidean.Angle.Unoriented.Conformal Mathlib.Analysis.Convex.Strong Mathlib.Analysis.SpecialFunctions.BinaryEntropy Mathlib.Data.Matrix.ColumnRowPartitioned Mathlib.NumberTheory.ModularForms.JacobiTheta.TwoVariable Mathlib.LinearAlgebra.Matrix.BaseChange Mathlib.Analysis.Fourier.RiemannLebesgueLemma Mathlib.AlgebraicGeometry.ProjectiveSpectrum.Proper Mathlib.RingTheory.LocalProperties.Exactness Mathlib.Analysis.SpecialFunctions.SmoothTransition Mathlib.Analysis.BoxIntegral.Basic Mathlib.RingTheory.Valuation.LocalSubring Mathlib.RingTheory.Polynomial.Basic Mathlib.Analysis.Quaternion Mathlib.AlgebraicGeometry.EllipticCurve.Weierstrass Mathlib.Analysis.SpecialFunctions.Bernstein Mathlib.Algebra.Lie.Abelian Mathlib.Data.Matrix.Kronecker Mathlib.AlgebraicGeometry.FunctionField Mathlib.RingTheory.DedekindDomain.Different Mathlib.AlgebraicGeometry.Morphisms.Constructors Mathlib.AlgebraicGeometry.ProjectiveSpectrum.StructureSheaf Mathlib.RingTheory.LocalRing.ResidueField.Defs Mathlib.Algebra.Category.ModuleCat.Sheaf.Generators Mathlib.Algebra.Category.ModuleCat.Sheaf.Abelian Mathlib.Analysis.BoxIntegral.Integrability Mathlib.RingTheory.Discriminant Mathlib.NumberTheory.SumTwoSquares Mathlib.Analysis.InnerProductSpace.Calculus Mathlib.Topology.Category.TopCat.Sphere Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup Mathlib.Algebra.DirectLimit Mathlib.RingTheory.ReesAlgebra Mathlib.Algebra.Module.PID Mathlib.NumberTheory.LSeries.Nonvanishing Mathlib.Analysis.Convex.KreinMilman Mathlib.RingTheory.Polynomial.GaussLemma Mathlib.Analysis.Calculus.FDeriv.Norm Mathlib.LinearAlgebra.CliffordAlgebra.Inversion Mathlib.MeasureTheory.Function.StronglyMeasurable.Lp Mathlib.RingTheory.Polynomial.Wronskian Mathlib.Combinatorics.Additive.AP.Three.Behrend Mathlib.NumberTheory.ClassNumber.Finite Mathlib.Analysis.Complex.Polynomial.Basic Mathlib.MeasureTheory.Integral.IntegralEqImproper Mathlib.Analysis.Calculus.LocalExtr.Polynomial Mathlib.RingTheory.WittVector.StructurePolynomial Mathlib.RingTheory.DedekindDomain.SelmerGroup Mathlib.MeasureTheory.Function.ConditionalExpectation.Basic Mathlib.Analysis.Complex.Tietze Mathlib.MeasureTheory.Function.LpSpace.ContinuousCompMeasurePreserving Mathlib.MeasureTheory.Function.L1Space Mathlib.Analysis.NormedSpace.HahnBanach.Extension Mathlib.Probability.Kernel.Disintegration.Basic Mathlib.LinearAlgebra.FreeAlgebra Mathlib.Analysis.Complex.RemovableSingularity Mathlib.RingTheory.DedekindDomain.Basic Mathlib.LinearAlgebra.Matrix.Charpoly.Univ Mathlib.RingTheory.JacobsonIdeal Mathlib.Analysis.Convex.Normed Mathlib.MeasureTheory.Measure.Tilted Mathlib.Analysis.Complex.Liouville Mathlib.RingTheory.AdicCompletion.AsTensorProduct Mathlib.NumberTheory.Transcendental.Liouville.Measure Mathlib.NumberTheory.LegendreSymbol.QuadraticChar.GaussSum Mathlib.Analysis.Convex.Continuous Mathlib.Geometry.Euclidean.Angle.Oriented.RightAngle Mathlib.NumberTheory.LSeries.MellinEqDirichlet Mathlib.AlgebraicGeometry.Morphisms.Smooth Mathlib.Analysis.InnerProductSpace.MeanErgodic Mathlib.NumberTheory.LegendreSymbol.JacobiSymbol Mathlib.RingTheory.LocalRing.Subring Mathlib.RingTheory.Extension Mathlib.Topology.Algebra.Polynomial Mathlib.MeasureTheory.Function.Jacobian Mathlib.FieldTheory.Perfect Mathlib.AlgebraicGeometry.OpenImmersion Mathlib.Analysis.Complex.LocallyUniformLimit Mathlib.FieldTheory.IsAlgClosed.Basic Mathlib.Algebra.Category.FGModuleCat.Basic Mathlib.NumberTheory.LSeries.Positivity Mathlib.FieldTheory.Minpoly.IsConjRoot Mathlib.Analysis.InnerProductSpace.EuclideanDist Mathlib.RingTheory.DedekindDomain.AdicValuation Mathlib.RingTheory.DedekindDomain.SInteger Mathlib.Analysis.Convex.Measure Mathlib.NumberTheory.Harmonic.EulerMascheroni Mathlib.Probability.Moments Mathlib.RingTheory.Localization.Free Mathlib.Geometry.RingedSpace.LocallyRingedSpace Mathlib.Analysis.SpecialFunctions.Log.Deriv Mathlib.Algebra.Category.ModuleCat.Presheaf.Generator Mathlib.NumberTheory.LegendreSymbol.AddCharacter Mathlib.FieldTheory.Cardinality Mathlib.Algebra.Lie.EngelSubalgebra Mathlib.NumberTheory.Cyclotomic.PID Mathlib.NumberTheory.JacobiSum.Basic Mathlib.Topology.MetricSpace.HausdorffDimension Mathlib.Analysis.Distribution.AEEqOfIntegralContDiff Mathlib.Analysis.InnerProductSpace.PiL2 Mathlib.RingTheory.IntegralClosure.IsIntegral.Defs Mathlib.AlgebraicGeometry.EllipticCurve.Projective Mathlib.MeasureTheory.Group.FundamentalDomain Mathlib.Geometry.Euclidean.Inversion.ImageHyperplane Mathlib.Analysis.Complex.Conformal Mathlib.NumberTheory.LegendreSymbol.QuadraticReciprocity Mathlib.Topology.Instances.Matrix Mathlib.Topology.Instances.Complex Mathlib.Algebra.Jordan.Basic Mathlib.AlgebraicGeometry.AffineScheme Mathlib.Analysis.SpecialFunctions.Gamma.BohrMollerup Mathlib.RingTheory.RootsOfUnity.Complex Mathlib.NumberTheory.Padics.RingHoms Mathlib.Topology.ContinuousMap.Weierstrass Mathlib.RingTheory.LocalRing.ResidueField.Basic Mathlib.LinearAlgebra.CliffordAlgebra.Grading Mathlib.Data.Real.Pi.Bounds Mathlib.MeasureTheory.Decomposition.Lebesgue Mathlib.NumberTheory.LegendreSymbol.QuadraticChar.Basic Mathlib.Geometry.Manifold.MFDeriv.NormedSpace Mathlib.RingTheory.Polynomial.SeparableDegree Mathlib.Algebra.Category.Grp.Images Mathlib.FieldTheory.Separable Mathlib.Geometry.Euclidean.Angle.Oriented.Rotation Mathlib.FieldTheory.MvRatFunc.Rank Mathlib.NumberTheory.KummerDedekind Mathlib.AlgebraicGeometry.Limits Mathlib.RingTheory.EisensteinCriterion Mathlib.Geometry.Manifold.MFDeriv.Defs Mathlib.Algebra.Category.Ring.Under.Limits Mathlib.RingTheory.RootsOfUnity.EnoughRootsOfUnity Mathlib.MeasureTheory.Function.LocallyIntegrable Mathlib.NumberTheory.ModularForms.EisensteinSeries.UniformConvergence Mathlib.RingTheory.GradedAlgebra.HomogeneousLocalization Mathlib.RingTheory.Smooth.StandardSmooth Mathlib.LinearAlgebra.CliffordAlgebra.Basic Mathlib.FieldTheory.IsAlgClosed.Spectrum Mathlib.Topology.Algebra.Valued.ValuationTopology Mathlib.NumberTheory.ModularForms.Basic Mathlib.Geometry.Manifold.Instances.UnitsOfNormedAlgebra Mathlib.Analysis.NormedSpace.HahnBanach.Separation Mathlib.Algebra.Category.ModuleCat.Presheaf.Colimits Mathlib.Analysis.InnerProductSpace.StarOrder Mathlib.AlgebraicGeometry.Morphisms.QuasiSeparated Mathlib.RingTheory.WittVector.Frobenius Mathlib.Analysis.Calculus.LineDeriv.Measurable Mathlib.RingTheory.AlgebraicIndependent Mathlib.LinearAlgebra.Vandermonde Mathlib.LinearAlgebra.Matrix.SesquilinearForm Mathlib.NumberTheory.Pell Mathlib.FieldTheory.AlgebraicClosure Mathlib.Probability.Process.Stopping Mathlib.LinearAlgebra.CliffordAlgebra.CategoryTheory Mathlib.RingTheory.IntegralClosure.IntegrallyClosed Mathlib.MeasureTheory.Integral.PeakFunction Mathlib.NumberTheory.NumberField.Basic Mathlib.MeasureTheory.Function.ConditionalExpectation.CondexpL1 Mathlib.MeasureTheory.Function.ConditionalExpectation.CondexpL2 Mathlib.FieldTheory.CardinalEmb Mathlib.RingTheory.SimpleRing.Matrix Mathlib.MeasureTheory.Function.SpecialFunctions.Inner Mathlib.Condensed.Light.Limits Mathlib.Analysis.Normed.Affine.AddTorsorBases Mathlib.NumberTheory.Modular Mathlib.RingTheory.WittVector.Basic Mathlib.NumberTheory.NumberField.Units.DirichletTheorem Mathlib.Tactic.ReduceModChar Mathlib.NumberTheory.ClassNumber.FunctionField Mathlib.RingTheory.Polynomial.Cyclotomic.Expand Mathlib.MeasureTheory.Integral.BoundedContinuousFunction Mathlib.RingTheory.HahnSeries.PowerSeries Mathlib.Analysis.Complex.UpperHalfPlane.FunctionsBoundedAtInfty Mathlib.RepresentationTheory.GroupCohomology.Basic Mathlib.RingTheory.Smooth.Kaehler Mathlib.Geometry.Manifold.ContMDiff.Defs Mathlib.RingTheory.RingHom.Locally Mathlib.LinearAlgebra.TensorProduct.DirectLimit Mathlib.Analysis.Normed.Algebra.Basic Mathlib.MeasureTheory.Integral.ExpDecay Mathlib.RepresentationTheory.FDRep Mathlib.AlgebraicGeometry.PrimeSpectrum.Maximal Mathlib.Dynamics.Ergodic.Action.OfMinimal Mathlib.Algebra.MvPolynomial.Equiv Mathlib.RingTheory.WittVector.Isocrystal Mathlib.Geometry.Manifold.IntegralCurve.UniformTime Mathlib.NumberTheory.NumberField.Units.Regulator Mathlib.Analysis.Calculus.ContDiff.RCLike Mathlib.Analysis.SpecialFunctions.Stirling Mathlib.Analysis.ODE.Gronwall Mathlib.FieldTheory.Minpoly.IsIntegrallyClosed Mathlib.FieldTheory.RatFunc.Defs Mathlib.RingTheory.Trace.Quotient Mathlib.Analysis.Fourier.FiniteAbelian.Orthogonality Mathlib.Analysis.ConstantSpeed Mathlib.Analysis.LocallyConvex.WeakOperatorTopology Mathlib.RingTheory.Polynomial.Nilpotent Mathlib.LinearAlgebra.Matrix.Hermitian Mathlib.Analysis.Calculus.Monotone Mathlib.RingTheory.Polynomial.Selmer Mathlib.Analysis.Calculus.Implicit Mathlib.RingTheory.Unramified.Basic Mathlib.LinearAlgebra.QuadraticForm.IsometryEquiv Mathlib.FieldTheory.NormalClosure Mathlib.Analysis.SumIntegralComparisons Mathlib.MeasureTheory.VectorMeasure.WithDensity Mathlib.LinearAlgebra.Reflection Mathlib.LinearAlgebra.AnnihilatingPolynomial Mathlib.RingTheory.Polynomial.UniqueFactorization Mathlib.MeasureTheory.Constructions.HaarToSphere Mathlib.Analysis.SpecialFunctions.JapaneseBracket Mathlib.RingTheory.LocalProperties.Submodule Mathlib.RingTheory.Valuation.AlgebraInstances Mathlib.Geometry.RingedSpace.LocallyRingedSpace.ResidueField Mathlib.MeasureTheory.Integral.CircleTransform Mathlib.Analysis.SpecialFunctions.Trigonometric.Cotangent Mathlib.NumberTheory.FermatPsp Mathlib.RingTheory.Kaehler.Basic Mathlib.MeasureTheory.Integral.DominatedConvergence Mathlib.AlgebraicGeometry.Morphisms.FinitePresentation Mathlib.Probability.Kernel.MeasureCompProd Mathlib.LinearAlgebra.Matrix.Charpoly.FiniteField Mathlib.NumberTheory.ZetaValues Mathlib.Analysis.Convex.Deriv Mathlib.NumberTheory.Cyclotomic.Basic Mathlib.Geometry.Euclidean.Angle.Unoriented.Affine Mathlib.Analysis.SpecialFunctions.Arsinh Mathlib.Analysis.Complex.Positivity Mathlib.Analysis.Calculus.ContDiff.FiniteDimension Mathlib.Algebra.Lie.Semisimple.Basic Mathlib.MeasureTheory.Function.StronglyMeasurable.Lemmas Mathlib.RingTheory.LocalProperties.Reduced Mathlib.Analysis.Fourier.FourierTransform Mathlib.Algebra.Lie.Derivation.Basic Mathlib.LinearAlgebra.Matrix.LDL Mathlib.Tactic.FunProp.Differentiable Mathlib.RingTheory.AdjoinRoot Mathlib.Probability.Independence.Integrable Mathlib.Geometry.Manifold.MFDeriv.Tangent Mathlib.Algebra.Lie.Weights.Killing Mathlib.Algebra.Homology.LocalCohomology Mathlib.Analysis.Matrix Mathlib.Analysis.Convex.Uniform Mathlib.AlgebraicGeometry.Morphisms.FiniteType Mathlib.Algebra.Category.ModuleCat.Presheaf Mathlib.LinearAlgebra.Matrix.ProjectiveSpecialLinearGroup Mathlib.RingTheory.Idempotents Mathlib.RingTheory.Valuation.ValuationSubring Mathlib.RingTheory.Smooth.Pi Mathlib.RingTheory.LocalProperties.IntegrallyClosed Mathlib.Algebra.MvPolynomial.Cardinal Mathlib.Probability.IdentDistrib Mathlib.Analysis.CStarAlgebra.ContinuousFunctionalCalculus.Instances Mathlib.RingTheory.Complex Mathlib.Topology.ContinuousMap.StoneWeierstrass Mathlib.Analysis.Convolution Mathlib.AlgebraicGeometry.Scheme Mathlib.LinearAlgebra.Matrix.Adjugate Mathlib.LinearAlgebra.Matrix.SchurComplement Mathlib.LinearAlgebra.Eigenspace.Semisimple Mathlib.Analysis.Calculus.Conformal.InnerProduct Mathlib.Analysis.Calculus.VectorField Mathlib.FieldTheory.KummerExtension Mathlib.NumberTheory.LucasPrimality Mathlib.Algebra.Algebra.Subalgebra.IsSimpleOrder Mathlib.RingTheory.Polynomial.Cyclotomic.Eval Mathlib.AlgebraicGeometry.Gluing Mathlib.LinearAlgebra.QuadraticForm.Isometry Mathlib.Topology.Instances.Irrational Mathlib.NumberTheory.ModularForms.EisensteinSeries.IsBoundedAtImInfty Mathlib.ModelTheory.Algebra.Ring.FreeCommRing Mathlib.Algebra.Category.Ring.Under.Basic Mathlib.Analysis.Complex.Arg Mathlib.Geometry.Manifold.Algebra.Monoid Mathlib.FieldTheory.Minpoly.Field Mathlib.LinearAlgebra.UnitaryGroup Mathlib.Topology.Algebra.Module.Determinant Mathlib.SetTheory.Cardinal.Free Mathlib.Algebra.Module.LinearMap.Polynomial Mathlib.Analysis.MellinInversion Mathlib.NumberTheory.BernoulliPolynomials Mathlib.RepresentationTheory.GroupCohomology.LowDegree Mathlib.RingTheory.RingHomProperties Mathlib.LinearAlgebra.RootSystem.Finite.CanonicalBilinear Mathlib.LinearAlgebra.BilinearForm.TensorProduct Mathlib.AlgebraicGeometry.Cover.Open Mathlib.Analysis.Convex.Cone.InnerDual Mathlib.Geometry.Manifold.Algebra.Structures Mathlib.CategoryTheory.Sites.MayerVietorisSquare Mathlib.AlgebraicGeometry.Stalk Mathlib.Condensed.Light.Module Mathlib.RingTheory.AdicCompletion.Algebra Mathlib.Algebra.FreeAlgebra.Cardinality Mathlib.Algebra.Category.Ring.Constructions Mathlib.RingTheory.Polynomial.Eisenstein.Basic Mathlib.Analysis.CStarAlgebra.Hom Mathlib.Analysis.Complex.Polynomial.UnitTrinomial Mathlib.Geometry.Manifold.PartitionOfUnity Mathlib.Algebra.Category.ModuleCat.Presheaf.Sheafification Mathlib.AlgebraicGeometry.EllipticCurve.Jacobian Mathlib.Algebra.Lie.BaseChange Mathlib.LinearAlgebra.Dual Mathlib.Analysis.Complex.UpperHalfPlane.Basic Mathlib.NumberTheory.ModularForms.EisensteinSeries.Defs Mathlib.LinearAlgebra.CliffordAlgebra.EvenEquiv Mathlib.Algebra.Lie.CartanMatrix Mathlib.Geometry.Manifold.MFDeriv.Atlas Mathlib.MeasureTheory.Measure.SeparableMeasure Mathlib.NumberTheory.Padics.Hensel Mathlib.MeasureTheory.Covering.Differentiation Mathlib.LinearAlgebra.CliffordAlgebra.BaseChange Mathlib.GroupTheory.FiniteAbelian.Duality Mathlib.NumberTheory.LSeries.HurwitzZetaOdd Mathlib.RingTheory.Polynomial.ScaleRoots Mathlib.RingTheory.FractionalIdeal.Operations Mathlib.LinearAlgebra.QuadraticForm.TensorProduct Mathlib.Analysis.Complex.Hadamard Mathlib.ModelTheory.Algebra.Field.IsAlgClosed Mathlib.RingTheory.Etale.Basic Mathlib.RingTheory.LinearDisjoint Mathlib.Analysis.Calculus.LineDeriv.IntegrationByParts Mathlib.Analysis.CStarAlgebra.ContinuousLinearMap Mathlib.Geometry.Manifold.Algebra.LieGroup Mathlib.Algebra.Lie.UniversalEnveloping Mathlib.FieldTheory.JacobsonNoether Mathlib.NumberTheory.PrimesCongruentOne Mathlib.Combinatorics.SimpleGraph.LapMatrix Mathlib.ModelTheory.Algebra.Field.CharP Mathlib.AlgebraicGeometry.EllipticCurve.VariableChange Mathlib.Analysis.BoundedVariation Mathlib.Analysis.InnerProductSpace.Adjoint Mathlib.Analysis.InnerProductSpace.Semisimple Mathlib.RingTheory.WittVector.Teichmuller Mathlib.NumberTheory.WellApproximable Mathlib.RingTheory.LocalRing.Module Mathlib.MeasureTheory.Measure.Lebesgue.Basic Mathlib.Algebra.Category.ModuleCat.Presheaf.EpiMono Mathlib.LinearAlgebra.CliffordAlgebra.Contraction Mathlib.NumberTheory.LSeries.Convergence Mathlib.Analysis.CStarAlgebra.ContinuousFunctionalCalculus.Order Mathlib.NumberTheory.Transcendental.Liouville.Basic Mathlib.Analysis.Convex.Cone.Proper Mathlib.Probability.Process.Adapted Mathlib.Algebra.Lie.Subalgebra Mathlib.RingTheory.MvPolynomial.Basic Mathlib.Algebra.MvPolynomial.PDeriv Mathlib.Probability.Distributions.Pareto Mathlib.NumberTheory.DirichletCharacter.Bounds Mathlib.Algebra.Lie.Sl2 Mathlib.Analysis.Convex.Cone.Closure Mathlib.MeasureTheory.Measure.Lebesgue.Integral Mathlib.RingTheory.FreeCommRing Mathlib.RingTheory.PowerSeries.Order Mathlib.FieldTheory.PurelyInseparable Mathlib.Analysis.SpecialFunctions.Trigonometric.InverseDeriv Mathlib.Analysis.Calculus.Gradient.Basic Mathlib.Algebra.Polynomial.Module.FiniteDimensional Mathlib.Analysis.Calculus.Rademacher Mathlib.Analysis.Calculus.BumpFunction.InnerProduct Mathlib.Geometry.Manifold.Sheaf.LocallyRingedSpace Mathlib.LinearAlgebra.Matrix.Spectrum Mathlib.RingTheory.WittVector.IsPoly Mathlib.RingTheory.Kaehler.TensorProduct Mathlib.MeasureTheory.Integral.Pi Mathlib.RingTheory.LocalProperties.Basic Mathlib.NumberTheory.NumberField.House Mathlib.Analysis.Normed.Module.Complemented Mathlib.Analysis.InnerProductSpace.l2Space Mathlib.MeasureTheory.Constructions.BorelSpace.ContinuousLinearMap Mathlib.Algebra.Lie.Solvable Mathlib.Analysis.Complex.UpperHalfPlane.Exp Mathlib.NumberTheory.NumberField.Embeddings Mathlib.MeasureTheory.Function.Intersectivity Mathlib.Condensed.Epi Mathlib.Algebra.Lie.Weights.Cartan Mathlib.AlgebraicGeometry.GammaSpecAdjunction Mathlib.MeasureTheory.Integral.Periodic Mathlib.Probability.Process.Filtration Mathlib.RingTheory.Valuation.Minpoly Mathlib.NumberTheory.Harmonic.Bounds Mathlib.NumberTheory.Bernoulli Mathlib.LinearAlgebra.SymplecticGroup Mathlib.Geometry.Manifold.AnalyticManifold Mathlib.Analysis.MellinTransform Mathlib.LinearAlgebra.Determinant Mathlib.RingTheory.LocalRing.RingHom.Basic Mathlib.Algebra.Homology.ShortComplex.ConcreteCategory Mathlib.LinearAlgebra.ExteriorAlgebra.OfAlternating Mathlib.Analysis.Convex.StrictConvexBetween Mathlib.Analysis.SpecialFunctions.Complex.CircleAddChar Mathlib.NumberTheory.LSeries.Linearity Mathlib.LinearAlgebra.Matrix.GeneralLinearGroup.Card Mathlib.MeasureTheory.Integral.Gamma Mathlib.Geometry.Manifold.ContMDiff.NormedSpace Mathlib.Analysis.VonNeumannAlgebra.Basic Mathlib.MeasureTheory.Measure.DiracProba Mathlib.MeasureTheory.Integral.IntegrableOn Mathlib.Topology.Algebra.Valued.ValuedField Mathlib.Analysis.Convex.SpecificFunctions.Deriv Mathlib.Analysis.Normed.Module.WeakDual Mathlib.Analysis.SpecialFunctions.Trigonometric.EulerSineProd Mathlib.MeasureTheory.Integral.SetToL1 Mathlib.Algebra.Lie.Engel Mathlib.Analysis.Calculus.FDeriv.Symmetric Mathlib.RingTheory.WittVector.Defs Mathlib.Algebra.Category.ModuleCat.Free Mathlib.Geometry.Manifold.VectorBundle.FiberwiseLinear Mathlib.RingTheory.FiniteLength Mathlib.Geometry.Euclidean.Inversion.Basic Mathlib.Algebra.MvPolynomial.Polynomial Mathlib.Algebra.Lie.Rank Mathlib.Probability.Kernel.Condexp Mathlib.GroupTheory.FiniteAbelian.Basic Mathlib.AlgebraicGeometry.Cover.MorphismProperty Mathlib.RingTheory.IntegralClosure.Algebra.Basic Mathlib.MeasureTheory.Function.ConditionalExpectation.Indicator Mathlib.AlgebraicGeometry.EllipticCurve.DivisionPolynomial.Degree Mathlib.AlgebraicGeometry.Morphisms.SurjectiveOnStalks Mathlib.LinearAlgebra.AffineSpace.Matrix Mathlib.Analysis.SpecialFunctions.Trigonometric.Deriv Mathlib.FieldTheory.PerfectClosure Mathlib.LinearAlgebra.CliffordAlgebra.Prod Mathlib.AlgebraicGeometry.GluingOneHypercover Mathlib.LinearAlgebra.Eigenspace.Pi Mathlib.Algebra.Lie.Classical Mathlib.NumberTheory.LSeries.PrimesInAP Mathlib.LinearAlgebra.QuadraticForm.TensorProduct.Isometries Mathlib.Algebra.Polynomial.Bivariate Mathlib.AlgebraicGeometry.ValuativeCriterion Mathlib.RingTheory.DedekindDomain.Factorization Mathlib.Geometry.Euclidean.Triangle Mathlib.AlgebraicGeometry.PullbackCarrier Mathlib.AlgebraicGeometry.Restrict Mathlib.MeasureTheory.Covering.Besicovitch Mathlib.Geometry.Manifold.Algebra.LeftInvariantDerivation Mathlib.Analysis.Calculus.BumpFunction.FiniteDimension Mathlib.Analysis.Complex.IntegerCompl Mathlib.RingTheory.MaximalSpectrum Mathlib.Probability.Distributions.Gamma Mathlib.LinearAlgebra.Eigenspace.Zero Mathlib.Probability.Martingale.OptionalStopping Mathlib.Probability.Martingale.BorelCantelli Mathlib.Analysis.SpecialFunctions.ExpDeriv Mathlib.RingTheory.FiniteType Mathlib.Geometry.Manifold.DerivationBundle Mathlib.LinearAlgebra.Eigenspace.Minpoly Mathlib.Algebra.Category.ModuleCat.Images Mathlib.Algebra.CharP.IntermediateField Mathlib.NumberTheory.Padics.ProperSpace Mathlib.Probability.Density Mathlib.Analysis.Complex.RealDeriv Mathlib.Analysis.Complex.OpenMapping Mathlib.AlgebraicGeometry.PrimeSpectrum.IsOpenComapC Mathlib.Probability.ProbabilityMassFunction.Integrals Mathlib.Data.Complex.Orientation Mathlib.RingTheory.Polynomial.RationalRoot Mathlib.RingTheory.WittVector.FrobeniusFractionField Mathlib.LinearAlgebra.Matrix.ToLinearEquiv Mathlib.Analysis.Calculus.BumpFunction.Normed Mathlib.FieldTheory.IntermediateField.Basic Mathlib.Algebra.Category.ModuleCat.Presheaf.Monoidal Mathlib.RingTheory.IntegralDomain Mathlib.Geometry.Manifold.IntegralCurve.Transform Mathlib.Analysis.ODE.PicardLindelof Mathlib.RingTheory.RootsOfUnity.Minpoly Mathlib.NumberTheory.NumberField.ClassNumber Mathlib.Probability.ConditionalExpectation Mathlib.MeasureTheory.Integral.SetIntegral Mathlib.Analysis.Analytic.Polynomial Mathlib.Analysis.InnerProductSpace.ConformalLinearMap Mathlib.Analysis.SpecialFunctions.Trigonometric.ArctanDeriv Mathlib.Algebra.CharP.MixedCharZero Mathlib.RingTheory.WittVector.DiscreteValuationRing Mathlib.Geometry.Manifold.LocalDiffeomorph Mathlib.FieldTheory.PolynomialGaloisGroup Mathlib.Analysis.InnerProductSpace.Orientation Mathlib.Geometry.Euclidean.Angle.Oriented.Affine Mathlib.Algebra.Category.ModuleCat.Presheaf.Abelian Mathlib.Analysis.Polynomial.Basic Mathlib.RingTheory.RingHom.Surjective Mathlib.NumberTheory.ModularForms.CongruenceSubgroups Mathlib.Algebra.Category.ModuleCat.Presheaf.Pushforward Mathlib.RingTheory.DedekindDomain.PID Mathlib.FieldTheory.AxGrothendieck Mathlib.LinearAlgebra.RootSystem.RootPositive Mathlib.NumberTheory.LSeries.HurwitzZeta Mathlib.Tactic Mathlib.Analysis.SpecialFunctions.Gaussian.FourierTransform Mathlib.MeasureTheory.Function.LpSpace.DomAct.Continuous Mathlib.AlgebraicGeometry.Morphisms.UniversallyClosed Mathlib.Geometry.Euclidean.PerpBisector Mathlib.MeasureTheory.Group.Integral Mathlib.LinearAlgebra.Matrix.IsDiag Mathlib.Algebra.Lie.TensorProduct Mathlib.FieldTheory.SplittingField.Construction Mathlib.Algebra.Category.ModuleCat.Sheaf.PushforwardContinuous Mathlib.FieldTheory.RatFunc.Basic Mathlib.MeasureTheory.Measure.Haar.Disintegration Mathlib.LinearAlgebra.Charpoly.BaseChange Mathlib.RingTheory.Support Mathlib.Algebra.Lie.Weights.Linear Mathlib.RingTheory.Unramified.Finite Mathlib.Analysis.Distribution.SchwartzSpace Mathlib.Probability.Integration Mathlib.NumberTheory.Bertrand Mathlib.RingTheory.NormTrace Mathlib.Algebra.Category.ModuleCat.Presheaf.Sheafify Mathlib.RingTheory.Derivation.MapCoeffs Mathlib.NumberTheory.Transcendental.Liouville.LiouvilleNumber Mathlib.LinearAlgebra.RootSystem.Hom Mathlib.Analysis.SpecialFunctions.Gamma.Deriv Mathlib.Algebra.Category.ModuleCat.Sheaf.Quasicoherent Mathlib.Geometry.Manifold.Metrizable Mathlib.Analysis.BoxIntegral.DivergenceTheorem Mathlib.NumberTheory.LSeries.Convolution Mathlib.CategoryTheory.Triangulated.Yoneda Mathlib.RingTheory.Polynomial.Eisenstein.IsIntegral Mathlib.LinearAlgebra.Basis.Flag Mathlib.LinearAlgebra.Matrix.NonsingularInverse Mathlib.Algebra.Lie.InvariantForm Mathlib.RingTheory.IntegralClosure.IsIntegral.Basic Mathlib.Analysis.SpecialFunctions.Pow.Integral Mathlib.Geometry.Manifold.WhitneyEmbedding Mathlib.Geometry.RingedSpace.LocallyRingedSpace.HasColimits Mathlib.FieldTheory.RatFunc.Degree Mathlib.NumberTheory.NumberField.CanonicalEmbedding.Basic Mathlib.RingTheory.RootsOfUnity.Basic Mathlib.Algebra.Lie.CartanExists Mathlib.RingTheory.Localization.Away.AdjoinRoot Mathlib.Algebra.Polynomial.Module.AEval Mathlib.NumberTheory.FLT.MasonStothers Mathlib.MeasureTheory.Integral.Average Mathlib.Probability.Kernel.Integral Mathlib.RingTheory.RootsOfUnity.AlgebraicallyClosed Mathlib.Probability.Kernel.Disintegration.Unique Mathlib.Algebra.Category.ModuleCat.Presheaf.ChangeOfRings Mathlib.LinearAlgebra.Matrix.HermitianFunctionalCalculus Mathlib.Probability.Independence.Conditional Mathlib.RingTheory.PowerSeries.Trunc Mathlib.Analysis.CStarAlgebra.ContinuousFunctionalCalculus.Basic Mathlib.MeasureTheory.Function.ConditionalExpectation.Real Mathlib.LinearAlgebra.Matrix.FixedDetMatrices Mathlib.RingTheory.Perfection Mathlib.Algebra.Homology.ConcreteCategory Mathlib.RingTheory.Norm.Basic Mathlib.Data.Real.Pi.Wallis Mathlib.Probability.Process.PartitionFiltration Mathlib.Probability.Notation Mathlib.NumberTheory.LSeries.AbstractFuncEq Mathlib.NumberTheory.FunctionField Mathlib.Algebra.DirectSum.LinearMap Mathlib.Probability.CDF Mathlib.LinearAlgebra.ExteriorAlgebra.Basic Mathlib.NumberTheory.DiophantineApproximation Mathlib.RingTheory.PowerSeries.Basic Mathlib.RingTheory.TensorProduct.MvPolynomial Mathlib.NumberTheory.EulerProduct.ExpLog Mathlib.Algebra.Polynomial.Smeval Mathlib.Geometry.Manifold.IntegralCurve.ExistUnique Mathlib.LinearAlgebra.Matrix.Dual Mathlib.CategoryTheory.Preadditive.Yoneda.Limits Mathlib.LinearAlgebra.Matrix.Determinant.TotallyUnimodular Mathlib.RingTheory.LocalProperties.Projective Mathlib.MeasureTheory.Measure.Haar.OfBasis Mathlib.Data.Complex.ExponentialBounds Mathlib.Analysis.InnerProductSpace.TwoDim Mathlib.NumberTheory.NumberField.AdeleRing Mathlib.LinearAlgebra.Matrix.GeneralLinearGroup.Basic Mathlib.RingTheory.Derivation.DifferentialRing Mathlib.Probability.Martingale.Centering Mathlib.FieldTheory.Differential.Basic Mathlib.Algebra.Lie.OfAssociative Mathlib.RingTheory.PowerSeries.Inverse Mathlib.LinearAlgebra.QuadraticForm.Dual Mathlib.AlgebraicGeometry.Morphisms.Etale Mathlib.NumberTheory.ModularForms.QExpansion Mathlib.MeasureTheory.Measure.Haar.Quotient Mathlib.Topology.Instances.RatLemmas Mathlib.Geometry.Manifold.Instances.Sphere Mathlib.LinearAlgebra.Matrix.Block Mathlib.Geometry.Manifold.VectorBundle.SmoothSection Mathlib.Algebra.Category.ModuleCat.Presheaf.Free Mathlib.Geometry.Manifold.ContMDiff.Product Mathlib.LinearAlgebra.RootSystem.Defs Mathlib.Analysis.InnerProductSpace.LaxMilgram Mathlib.RingTheory.WittVector.MulP Mathlib.LinearAlgebra.RootSystem.Finite.Nondegenerate Mathlib.Data.Nat.Factorial.SuperFactorial |
9 |
Mathlib.Data.Finsupp.Single (new file) |
495 |
Mathlib.Data.Finsupp.Ext (new file) |
503 |
Mathlib.Data.Finsupp.SMulWithZero (new file) |
511 |
Mathlib.Algebra.MonoidAlgebra.Lift (new file) |
615 |
Mathlib.Algebra.Polynomial.Defs (new file) |
622 |
Mathlib.Algebra.MonoidAlgebra.MapDomain (new file) |
673 |
Mathlib.Algebra.MonoidAlgebra.Opposite (new file) |
675 |
Mathlib.Algebra.MonoidAlgebra.Module (new file) |
726 |
Mathlib.Algebra.Polynomial.Module (new file) |
732 |
Mathlib.Algebra.Polynomial.Sum (new file) Mathlib.Algebra.Polynomial.EraseUpdate (new file) |
734 |
Declarations diff
+ coe_nsmul
+ nsmul_apply
+-+- isCentralScalar
+-+- isScalarTower
+-+- smulCommClass
- instNSMul
- instZSMul
- ofFinsupp_nsmul
- ofFinsupp_zsmul
- toFinsupp_nsmul
- toFinsupp_zsmul
--++ distribMulAction
--++ distribMulActionHom_ext'
--++ faithfulSMul
--++ isScalarTower_self
--++ lhom_ext'
--++ lsingle
--++ lsingle_apply
--++ smulCommClass_self
--++ smulCommClass_symm_self
--++ smul_single'
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.
Decrease in tech debt: (relative, absolute) = (1.00, 0.02)
Current number | Change | Type |
---|---|---|
61 | -1 | large files |
Current commit eb3081f1e6
Reference commit 496527772a
You can run this locally as
./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 therelative
value divided by the total sum of the inverses of the current values (i.e. the weighted average of the differences).
This PR/issue depends on: |
cbb0700
to
0fecb46
Compare
5285b51
to
2909af1
Compare
6edbb3e
to
19f6a5a
Compare
19f6a5a
to
e96f4ca
Compare
These results depend on `Submonoid`, while nothing else in `Finsupp` does. So let's move them to their own file.
To clean up `Mathlib.Algebra.MonoidAlgebra.Defs` I would like to move material on `single` from `Mathlib.Data.Finsupp.Basic` into a smaller file. Although the specific lemmas could go into `Mathlib.Data.Finsupp.Defs`, that file is already rather big, so instead let's split off a file that sits in between `Defs` and `Basic`. This also allows us to reduce imports in `Finsupp.Defs` slightly, avoiding putting `Submonoid` in there.
In the comments of #19095 we discussed that `MonoidAlgebra` and `Polynomial` need scalar multiplication by `Nat` or `Int` early on, to define a `Semiring` or `Ring` structure. We can define a generic `SMulWithZero` instance and then specialize it to get `nsmul` and `zsmul`, but only if that instance is available early on for `Finsupp`. So: split this off from `Finsupp/Basic.lean` into a higher-up file. This PR used Damiano's `upstreamableDecls` linter to find out which results could move together with the definitions for free.
This PR further splits the big file `MonoidAlgebra/Defs.lean` to focus on the ring structure on (`Add`)`MonoidAlgebra`. The following files have been split off: * `MonoidAlgebra/Lift.lean`: definition of `liftNC` * `MonoidAlgebra/MapDomain.lean`: definition of `mapDomain` * `MonoidAlgebra/Module.lean`: module structure (and some submodule results) * `MonoidAlgebra/Opposite.lean`: results on the `MulOpposite` ring structure I also changed one proof about scalar multiplication by natural numbers, so that it wouldn't need a full on module structure on `Finsupp`. This required adding a pair of lemmas on the definition of multiplying `Finsupp`s by natural numbers.
… files This PR splits `Mathlib.Algebra.Polynomial.Basic` into the following files: * `Polynomial/Defs.lean`: definition and ring structure on `R[X]` * `Polynomial/Module.lean`: module structure on `R[X]` * `Polynomial/Monomial.lean`: merged definition of `monomial`, `X`, `C` into the existing file (this is probably the file you want to import from now on) * `Polynomial/EraseUpdate.lean`: definition of `erase` and `update` * `Polynomial/Sum.lean`: definition of `sum` Initially I added the monomial results to a new file, but ended up merging it with `Monomial.lean` since the two of them merge cleanly.
e96f4ca
to
eb3081f
Compare
This PR splits
Mathlib.Algebra.Polynomial.Basic
into the following files:Polynomial/Defs.lean
: definition and ring structure onR[X]
Polynomial/Module.lean
: module structure onR[X]
Polynomial/Monomial.lean
: merged definition ofmonomial
,X
,C
into the existing file (this is probably the file you want to import from now on)Polynomial/EraseUpdate.lean
: definition oferase
andupdate
Polynomial/Sum.lean
: definition ofsum
Initially I added the monomial results to a new file, but ended up merging it with
Monomial.lean
since the two of them merge cleanly.