feat: add TendstoCofinite lemma for polynomial functions

[Xmask19]

This PR adds the lemma TendstoCofinite_of_nonconst_polynomial, which states that a nonconstant polynomial over a domain has the property that every fibre is finite.

Co-authored-by: Bhavik Mehta

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PR summary a5732668c5

Import changes exceeding 2%

%	File
+2.15%	Mathlib.Algebra.Polynomial.Roots

Import changes for modified files

Dependency changes

File	Base Count	Head Count	Change
Mathlib.Algebra.Polynomial.Roots	1207	1233	+26 (+2.15%)

Import changes for all files

Files	Import difference
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Mathlib.MeasureTheory.Integral.Average Mathlib.MeasureTheory.Integral.Bochner.Basic Mathlib.MeasureTheory.Integral.Bochner.ContinuousLinearMap Mathlib.MeasureTheory.Integral.Bochner.FundThmCalculus Mathlib.MeasureTheory.Integral.Bochner.L1 Mathlib.MeasureTheory.Integral.Bochner.Set Mathlib.MeasureTheory.Integral.Bochner.SumMeasure Mathlib.MeasureTheory.Integral.Bochner.VitaliCaratheodory Mathlib.MeasureTheory.Integral.BoundedContinuousFunction Mathlib.MeasureTheory.Integral.CircleAverage Mathlib.MeasureTheory.Integral.CircleIntegral Mathlib.MeasureTheory.Integral.CircleTransform Mathlib.MeasureTheory.Integral.CompactlySupported Mathlib.MeasureTheory.Integral.CurveIntegral.Basic Mathlib.MeasureTheory.Integral.CurveIntegral.Poincare Mathlib.MeasureTheory.Integral.DivergenceTheorem Mathlib.MeasureTheory.Integral.DominatedConvergence Mathlib.MeasureTheory.Integral.ExpDecay Mathlib.MeasureTheory.Integral.FinMeasAdditive Mathlib.MeasureTheory.Integral.Gamma 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Mathlib.MeasureTheory.Measure.Haar.InnerProductSpace Mathlib.MeasureTheory.Measure.Haar.MulEquivHaarChar Mathlib.MeasureTheory.Measure.Haar.NormedSpace Mathlib.MeasureTheory.Measure.Haar.OfBasis Mathlib.MeasureTheory.Measure.Haar.Quotient Mathlib.MeasureTheory.Measure.Haar.Unique Mathlib.MeasureTheory.Measure.HasOuterApproxClosedProd Mathlib.MeasureTheory.Measure.HasOuterApproxClosed Mathlib.MeasureTheory.Measure.Hausdorff Mathlib.MeasureTheory.Measure.IntegralCharFun Mathlib.MeasureTheory.Measure.Lebesgue.Basic Mathlib.MeasureTheory.Measure.Lebesgue.Complex Mathlib.MeasureTheory.Measure.Lebesgue.EqHaar Mathlib.MeasureTheory.Measure.Lebesgue.Integral Mathlib.MeasureTheory.Measure.Lebesgue.VolumeOfBalls Mathlib.MeasureTheory.Measure.LevyConvergence Mathlib.MeasureTheory.Measure.LevyProkhorovMetric Mathlib.MeasureTheory.Measure.LogLikelihoodRatio Mathlib.MeasureTheory.Measure.Portmanteau Mathlib.MeasureTheory.Measure.ProbabilityMeasure Mathlib.MeasureTheory.Measure.Prokhorov 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Mathlib.NumberTheory.Cyclotomic.Gal Mathlib.NumberTheory.Cyclotomic.PID (new file) Mathlib.NumberTheory.Cyclotomic.PrimitiveRoots Mathlib.NumberTheory.Cyclotomic.Rat (new file) Mathlib.NumberTheory.Cyclotomic.Three (new file) Mathlib.NumberTheory.DiophantineApproximation.Basic Mathlib.NumberTheory.DiophantineApproximation.ContinuedFractions Mathlib.NumberTheory.DirichletCharacter.Bounds Mathlib.NumberTheory.DirichletCharacter.GaussSum Mathlib.NumberTheory.DirichletCharacter.Orthogonality Mathlib.NumberTheory.EulerProduct.DirichletLSeries Mathlib.NumberTheory.EulerProduct.ExpLog Mathlib.NumberTheory.FLT.Three Mathlib.NumberTheory.FermatPsp Mathlib.NumberTheory.Fermat Mathlib.NumberTheory.FunctionField Mathlib.NumberTheory.GaussSum Mathlib.NumberTheory.Harmonic.Bounds Mathlib.NumberTheory.Harmonic.GammaDeriv Mathlib.NumberTheory.Harmonic.ZetaAsymp Mathlib.NumberTheory.Height.NumberField Mathlib.NumberTheory.JacobiSum.Basic Mathlib.NumberTheory.LSeries.AbstractFuncEq 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Mathlib.NumberTheory.ModularForms.ArithmeticSubgroups Mathlib.NumberTheory.ModularForms.Basic Mathlib.NumberTheory.ModularForms.BoundedAtCusp Mathlib.NumberTheory.ModularForms.CongruenceSubgroups Mathlib.NumberTheory.ModularForms.Cusps Mathlib.NumberTheory.ModularForms.EisensteinSeries.Basic Mathlib.NumberTheory.ModularForms.EisensteinSeries.Defs Mathlib.NumberTheory.ModularForms.EisensteinSeries.E2.Defs Mathlib.NumberTheory.ModularForms.EisensteinSeries.IsBoundedAtImInfty Mathlib.NumberTheory.ModularForms.EisensteinSeries.MDifferentiable Mathlib.NumberTheory.ModularForms.EisensteinSeries.Summable Mathlib.NumberTheory.ModularForms.EisensteinSeries.UniformConvergence Mathlib.NumberTheory.ModularForms.Identities Mathlib.NumberTheory.ModularForms.JacobiTheta.Bounds Mathlib.NumberTheory.ModularForms.JacobiTheta.Manifold Mathlib.NumberTheory.ModularForms.JacobiTheta.OneVariable Mathlib.NumberTheory.ModularForms.JacobiTheta.TwoVariable Mathlib.NumberTheory.ModularForms.SlashActions Mathlib.NumberTheory.ModularForms.SlashInvariantForms Mathlib.NumberTheory.Modular Mathlib.NumberTheory.MulChar.Duality Mathlib.NumberTheory.Niven Mathlib.NumberTheory.NumberField.AdeleRing Mathlib.NumberTheory.NumberField.CMField Mathlib.NumberTheory.NumberField.CanonicalEmbedding.Basic Mathlib.NumberTheory.NumberField.CanonicalEmbedding.ConvexBody Mathlib.NumberTheory.NumberField.CanonicalEmbedding.FundamentalCone Mathlib.NumberTheory.NumberField.CanonicalEmbedding.NormLeOne Mathlib.NumberTheory.NumberField.CanonicalEmbedding.PolarCoord Mathlib.NumberTheory.NumberField.ClassNumber Mathlib.NumberTheory.NumberField.Completion (new file) Mathlib.NumberTheory.NumberField.Cyclotomic.Basic Mathlib.NumberTheory.NumberField.Cyclotomic.Embeddings Mathlib.NumberTheory.NumberField.Cyclotomic.Galois Mathlib.NumberTheory.NumberField.Cyclotomic.Ideal Mathlib.NumberTheory.NumberField.Cyclotomic.PID Mathlib.NumberTheory.NumberField.Cyclotomic.Three Mathlib.NumberTheory.NumberField.DedekindZeta Mathlib.NumberTheory.NumberField.Discriminant.Basic Mathlib.NumberTheory.NumberField.Discriminant.Different Mathlib.NumberTheory.NumberField.EquivReindex Mathlib.NumberTheory.NumberField.FinitePlaces Mathlib.NumberTheory.NumberField.House Mathlib.NumberTheory.NumberField.Ideal.Asymptotics Mathlib.NumberTheory.NumberField.Ideal.Basic Mathlib.NumberTheory.NumberField.InfiniteAdeleRing Mathlib.NumberTheory.NumberField.InfinitePlace.Basic Mathlib.NumberTheory.NumberField.InfinitePlace.Completion Mathlib.NumberTheory.NumberField.InfinitePlace.Embeddings Mathlib.NumberTheory.NumberField.InfinitePlace.Ramification Mathlib.NumberTheory.NumberField.InfinitePlace.TotallyRealComplex Mathlib.NumberTheory.NumberField.ProductFormula Mathlib.NumberTheory.NumberField.Units.Basic Mathlib.NumberTheory.NumberField.Units.DirichletTheorem Mathlib.NumberTheory.NumberField.Units.Regulator Mathlib.NumberTheory.Ostrowski Mathlib.NumberTheory.Padics.AddChar Mathlib.NumberTheory.Padics.Complex 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Mathlib.Probability.Distributions.Pareto Mathlib.Probability.Distributions.Poisson.PoissonLimitThm Mathlib.Probability.Distributions.SetBernoulli Mathlib.Probability.Distributions.Uniform Mathlib.Probability.HasLawExists Mathlib.Probability.HasLaw Mathlib.Probability.IdentDistribIndep Mathlib.Probability.IdentDistrib Mathlib.Probability.Independence.BoundedContinuousFunction Mathlib.Probability.Independence.CharacteristicFunction Mathlib.Probability.Independence.Conditional Mathlib.Probability.Independence.InfinitePi Mathlib.Probability.Independence.Integrable Mathlib.Probability.Independence.Integration Mathlib.Probability.Independence.ZeroOne Mathlib.Probability.Kernel.CompProdEqIff Mathlib.Probability.Kernel.Composition.AbsolutelyContinuous Mathlib.Probability.Kernel.Composition.IntegralCompProd Mathlib.Probability.Kernel.Composition.RadonNikodym Mathlib.Probability.Kernel.CondDistrib Mathlib.Probability.Kernel.Condexp Mathlib.Probability.Kernel.Disintegration.CDFToKernel 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Mathlib.RingTheory.DedekindDomain.LinearDisjoint Mathlib.RingTheory.DedekindDomain.SInteger Mathlib.RingTheory.DedekindDomain.SelmerGroup Mathlib.RingTheory.Etale.Field Mathlib.RingTheory.Etale.Locus Mathlib.RingTheory.Etale.QuasiFinite Mathlib.RingTheory.Finiteness.Descent Mathlib.RingTheory.Flat.FaithfullyFlat.Descent Mathlib.RingTheory.Flat.TorsionFree Mathlib.RingTheory.Frobenius Mathlib.RingTheory.Grassmannian Mathlib.RingTheory.HopkinsLevitzki Mathlib.RingTheory.Ideal.GoingDown Mathlib.RingTheory.Ideal.Height Mathlib.RingTheory.Ideal.KrullsHeightTheorem Mathlib.RingTheory.Ideal.Norm.RelNorm Mathlib.RingTheory.IntegralClosure.GoingDown Mathlib.RingTheory.Invariant.Profinite Mathlib.RingTheory.Jacobson.Artinian Mathlib.RingTheory.KrullDimension.LocalRing Mathlib.RingTheory.KrullDimension.PID Mathlib.RingTheory.KrullDimension.Zero Mathlib.RingTheory.LittleWedderburn Mathlib.RingTheory.LocalProperties.Semilocal Mathlib.RingTheory.LocalRing.ResidueField.Fiber Mathlib.RingTheory.LocalRing.ResidueField.Polynomial Mathlib.RingTheory.Localization.Pi Mathlib.RingTheory.Perfection Mathlib.RingTheory.Perfectoid.Untilt Mathlib.RingTheory.PicardGroup Mathlib.RingTheory.Polynomial.Cyclotomic.Basic Mathlib.RingTheory.Polynomial.Cyclotomic.Eval Mathlib.RingTheory.Polynomial.Cyclotomic.Expand Mathlib.RingTheory.Polynomial.Cyclotomic.Factorization Mathlib.RingTheory.Polynomial.Cyclotomic.Roots Mathlib.RingTheory.Polynomial.Eisenstein.IsIntegral Mathlib.RingTheory.Polynomial.Selmer Mathlib.RingTheory.QuasiFinite.Basic Mathlib.RingTheory.QuasiFinite.Polynomial Mathlib.RingTheory.QuasiFinite.Weakly Mathlib.RingTheory.RingHom.FaithfullyFlat Mathlib.RingTheory.RingHom.Flat Mathlib.RingTheory.RingHom.QuasiFinite Mathlib.RingTheory.RingHom.Smooth Mathlib.RingTheory.RingHom.Unramified Mathlib.RingTheory.RootsOfUnity.AlgebraicallyClosed Mathlib.RingTheory.Smooth.Fiber Mathlib.RingTheory.Smooth.Local Mathlib.RingTheory.Smooth.Locus Mathlib.RingTheory.Smooth.StandardSmoothOfFree Mathlib.RingTheory.Spectrum.Maximal.Topology Mathlib.RingTheory.Spectrum.Prime.ChevalleyComplexity Mathlib.RingTheory.Spectrum.Prime.Chevalley Mathlib.RingTheory.Spectrum.Prime.ConstructibleSet Mathlib.RingTheory.Spectrum.Prime.FreeLocus Mathlib.RingTheory.Spectrum.Prime.Homeomorph Mathlib.RingTheory.Spectrum.Prime.IsOpenComapC Mathlib.RingTheory.Spectrum.Prime.Jacobson Mathlib.RingTheory.Spectrum.Prime.LTSeries Mathlib.RingTheory.Spectrum.Prime.Module Mathlib.RingTheory.Spectrum.Prime.Noetherian Mathlib.RingTheory.Spectrum.Prime.Polynomial Mathlib.RingTheory.Spectrum.Prime.TensorProduct Mathlib.RingTheory.Spectrum.Prime.Topology Mathlib.RingTheory.Teichmuller Mathlib.RingTheory.Unramified.Field Mathlib.RingTheory.Unramified.LocalRing Mathlib.RingTheory.Unramified.Locus Mathlib.RingTheory.Valuation.Discrete.Basic Mathlib.RingTheory.Valuation.Discrete.RankOne Mathlib.RingTheory.ZMod.UnitsCyclic Mathlib.RingTheory.ZariskisMainTheorem Mathlib.Tactic.NormNum.Irrational Mathlib.Tactic.NormNum.LegendreSymbol Mathlib.Tactic Mathlib.Topology.Algebra.Module.Determinant Mathlib.Topology.Algebra.Module.FiniteDimensionBilinear Mathlib.Topology.Algebra.Module.FiniteDimension Mathlib.Topology.Algebra.Polynomial Mathlib.Topology.Algebra.Ring.Compact Mathlib.Topology.Algebra.Valued.WithVal Mathlib.Topology.CWComplex.Abstract.Basic Mathlib.Topology.Category.TopCat.Sphere Mathlib.Topology.Compactification.OnePoint.ProjectiveLine Mathlib.Topology.Compactification.OnePoint.Sphere Mathlib.Topology.ContinuousMap.Polynomial Mathlib.Topology.ContinuousMap.StoneWeierstrass Mathlib.Topology.ContinuousMap.Weierstrass Mathlib.Topology.Instances.AddCircle.DenseSubgroup Mathlib.Topology.Instances.Irrational Mathlib.Topology.Instances.Matrix Mathlib.Topology.Instances.RatLemmas Mathlib.Topology.MetricSpace.HausdorffDimension	3
7 files Mathlib.Algebra.Lie.CartanExists Mathlib.Algebra.Lie.Rank Mathlib.Analysis.Normed.Field.Approximation Mathlib.Analysis.Polynomial.Basic Mathlib.NumberTheory.ClassNumber.AdmissibleCardPowDegree Mathlib.NumberTheory.MulChar.Lemmas Mathlib.RingTheory.RootsOfUnity.Complex	4
26 files Mathlib.Algebra.Lie.Classical Mathlib.Algebra.Lie.Derivation.Killing Mathlib.Algebra.Lie.Killing Mathlib.Algebra.Lie.LieTheorem Mathlib.Algebra.Lie.Matrix Mathlib.Algebra.Lie.Semisimple.Lemmas Mathlib.Algebra.Lie.SkewAdjoint Mathlib.Algebra.Lie.TraceForm Mathlib.Algebra.Lie.Weights.Basic Mathlib.Algebra.Lie.Weights.Cartan Mathlib.Algebra.Lie.Weights.Linear Mathlib.FieldTheory.AxGrothendieck Mathlib.FieldTheory.JacobsonNoether Mathlib.LinearAlgebra.Eigenspace.Semisimple Mathlib.LinearAlgebra.Eigenspace.Zero Mathlib.LinearAlgebra.JordanChevalley Mathlib.LinearAlgebra.Semisimple Mathlib.ModelTheory.Algebra.Ring.Definability Mathlib.RepresentationTheory.AlgebraRepresentation.Basic Mathlib.RepresentationTheory.Character Mathlib.RepresentationTheory.FinGroupCharZero Mathlib.RepresentationTheory.Irreducible Mathlib.RingTheory.Jacobson.Ring Mathlib.RingTheory.Nullstellensatz Mathlib.RingTheory.SimpleModule.IsAlgClosed Mathlib.RingTheory.Trace.Quotient	6
26 files Mathlib.Algebra.Module.LinearMap.Polynomial Mathlib.FieldTheory.Finite.Polynomial Mathlib.FieldTheory.SeparablyGenerated Mathlib.LinearAlgebra.Matrix.Charpoly.Univ Mathlib.RingTheory.Polynomial.Eisenstein.Distinguished Mathlib.RingTheory.PowerSeries.Ideal Mathlib.RingTheory.PowerSeries.Inverse Mathlib.RingTheory.PowerSeries.WeierstrassPreparation Mathlib.RingTheory.WittVector.Basic Mathlib.RingTheory.WittVector.Complete Mathlib.RingTheory.WittVector.Defs Mathlib.RingTheory.WittVector.DiscreteValuationRing Mathlib.RingTheory.WittVector.Domain Mathlib.RingTheory.WittVector.FrobeniusFractionField Mathlib.RingTheory.WittVector.Frobenius Mathlib.RingTheory.WittVector.Identities Mathlib.RingTheory.WittVector.InitTail Mathlib.RingTheory.WittVector.IsPoly Mathlib.RingTheory.WittVector.Isocrystal Mathlib.RingTheory.WittVector.MulCoeff Mathlib.RingTheory.WittVector.MulP Mathlib.RingTheory.WittVector.StructurePolynomial Mathlib.RingTheory.WittVector.TeichmullerSeries Mathlib.RingTheory.WittVector.Teichmuller Mathlib.RingTheory.WittVector.Truncated Mathlib.RingTheory.WittVector.Verschiebung	8
Mathlib.ModelTheory.Algebra.Field.IsAlgClosed	9
271 files Mathlib.Algebra.AlgebraicCard Mathlib.Algebra.Category.ModuleCat.ExteriorPower Mathlib.Algebra.GCDMonoid.IntegrallyClosed Mathlib.Algebra.Module.DedekindDomain Mathlib.Algebra.Module.PID Mathlib.Algebra.Polynomial.Bivariate Mathlib.Algebra.Polynomial.Module.FiniteDimensional Mathlib.Algebra.QuadraticAlgebra.NormDeterminant Mathlib.AlgebraicGeometry.EllipticCurve.Affine.Basic Mathlib.AlgebraicGeometry.EllipticCurve.Affine.Formula Mathlib.AlgebraicGeometry.EllipticCurve.Affine.Point Mathlib.AlgebraicGeometry.EllipticCurve.DivisionPolynomial.Basic Mathlib.AlgebraicGeometry.EllipticCurve.DivisionPolynomial.Degree Mathlib.AlgebraicGeometry.EllipticCurve.IsomOfJ Mathlib.AlgebraicGeometry.EllipticCurve.Jacobian.Basic Mathlib.AlgebraicGeometry.EllipticCurve.Jacobian.Formula Mathlib.AlgebraicGeometry.EllipticCurve.Jacobian.Point Mathlib.AlgebraicGeometry.EllipticCurve.Projective.Basic Mathlib.AlgebraicGeometry.EllipticCurve.Projective.Formula Mathlib.AlgebraicGeometry.EllipticCurve.Projective.Point Mathlib.CategoryTheory.Preadditive.Schur Mathlib.Combinatorics.Additive.ErdosGinzburgZiv Mathlib.FieldTheory.AbelRuffini Mathlib.FieldTheory.AlgebraicClosure Mathlib.FieldTheory.CardinalEmb Mathlib.FieldTheory.Cardinality Mathlib.FieldTheory.ChevalleyWarning Mathlib.FieldTheory.Differential.Basic Mathlib.FieldTheory.Differential.Liouville Mathlib.FieldTheory.Extension Mathlib.FieldTheory.Finite.Basic Mathlib.FieldTheory.Finite.Extension Mathlib.FieldTheory.Finite.GaloisField Mathlib.FieldTheory.Finite.Trace Mathlib.FieldTheory.Finite.Valuation Mathlib.FieldTheory.Fixed Mathlib.FieldTheory.Galois.Basic Mathlib.FieldTheory.Galois.GaloisClosure Mathlib.FieldTheory.Galois.NormalBasis Mathlib.FieldTheory.IntermediateField.Adjoin.Algebra Mathlib.FieldTheory.IntermediateField.Adjoin.Basic Mathlib.FieldTheory.IntermediateField.Algebraic Mathlib.FieldTheory.IsAlgClosed.AlgebraicClosure Mathlib.FieldTheory.IsAlgClosed.Basic Mathlib.FieldTheory.IsAlgClosed.Classification Mathlib.FieldTheory.IsAlgClosed.Spectrum Mathlib.FieldTheory.IsPerfectClosure Mathlib.FieldTheory.IsSepClosed Mathlib.FieldTheory.Isaacs Mathlib.FieldTheory.KummerExtension Mathlib.FieldTheory.KummerPolynomial Mathlib.FieldTheory.LinearDisjoint Mathlib.FieldTheory.Minpoly.ConjRootClass Mathlib.FieldTheory.Minpoly.Field Mathlib.FieldTheory.Minpoly.IsConjRoot Mathlib.FieldTheory.Minpoly.IsIntegrallyClosed Mathlib.FieldTheory.Minpoly.MinpolyDiv Mathlib.FieldTheory.MvRatFunc.Rank Mathlib.FieldTheory.Normal.Basic Mathlib.FieldTheory.Normal.Closure Mathlib.FieldTheory.Normal.Defs Mathlib.FieldTheory.NormalizedTrace Mathlib.FieldTheory.PerfectClosure Mathlib.FieldTheory.Perfect Mathlib.FieldTheory.PolynomialGaloisGroup Mathlib.FieldTheory.PrimitiveElement Mathlib.FieldTheory.PurelyInseparable.Basic Mathlib.FieldTheory.PurelyInseparable.Exponent Mathlib.FieldTheory.PurelyInseparable.PerfectClosure Mathlib.FieldTheory.PurelyInseparable.Tower Mathlib.FieldTheory.RatFunc.Basic Mathlib.FieldTheory.Relrank Mathlib.FieldTheory.SeparableClosure Mathlib.FieldTheory.SeparableDegree Mathlib.FieldTheory.Separable Mathlib.FieldTheory.SplittingField.Construction Mathlib.FieldTheory.SplittingField.IsSplittingField Mathlib.GroupTheory.FiniteAbelian.Basic Mathlib.GroupTheory.FiniteAbelian.Duality Mathlib.GroupTheory.SpecificGroups.ZGroup Mathlib.LinearAlgebra.AnnihilatingPolynomial Mathlib.LinearAlgebra.Center Mathlib.LinearAlgebra.Charpoly.BaseChange Mathlib.LinearAlgebra.Charpoly.Basic Mathlib.LinearAlgebra.Charpoly.ToMatrix Mathlib.LinearAlgebra.CliffordAlgebra.BaseChange Mathlib.LinearAlgebra.CliffordAlgebra.Basic Mathlib.LinearAlgebra.CliffordAlgebra.CategoryTheory Mathlib.LinearAlgebra.CliffordAlgebra.Conjugation Mathlib.LinearAlgebra.CliffordAlgebra.Contraction Mathlib.LinearAlgebra.CliffordAlgebra.Equivs Mathlib.LinearAlgebra.CliffordAlgebra.EvenEquiv Mathlib.LinearAlgebra.CliffordAlgebra.Even Mathlib.LinearAlgebra.CliffordAlgebra.Fold Mathlib.LinearAlgebra.CliffordAlgebra.Grading Mathlib.LinearAlgebra.CliffordAlgebra.Inversion Mathlib.LinearAlgebra.CliffordAlgebra.Prod Mathlib.LinearAlgebra.CliffordAlgebra.SpinGroup Mathlib.LinearAlgebra.CliffordAlgebra.Star Mathlib.LinearAlgebra.Complex.Determinant Mathlib.LinearAlgebra.Complex.Orientation Mathlib.LinearAlgebra.Determinant Mathlib.LinearAlgebra.Dual.BaseChange Mathlib.LinearAlgebra.Eigenspace.Charpoly Mathlib.LinearAlgebra.Eigenspace.Minpoly Mathlib.LinearAlgebra.Eigenspace.Pi Mathlib.LinearAlgebra.Eigenspace.Triangularizable Mathlib.LinearAlgebra.ExteriorAlgebra.Basic Mathlib.LinearAlgebra.ExteriorAlgebra.Basis Mathlib.LinearAlgebra.ExteriorAlgebra.Grading Mathlib.LinearAlgebra.ExteriorAlgebra.OfAlternating Mathlib.LinearAlgebra.ExteriorPower.Basic Mathlib.LinearAlgebra.ExteriorPower.Basis Mathlib.LinearAlgebra.ExteriorPower.Pairing Mathlib.LinearAlgebra.FreeModule.Determinant Mathlib.LinearAlgebra.FreeModule.Finite.CardQuotient Mathlib.LinearAlgebra.FreeModule.Norm Mathlib.LinearAlgebra.Lagrange Mathlib.LinearAlgebra.Matrix.BilinearForm Mathlib.LinearAlgebra.Matrix.Charpoly.Disc Mathlib.LinearAlgebra.Matrix.Charpoly.Eigs Mathlib.LinearAlgebra.Matrix.Charpoly.FiniteField Mathlib.LinearAlgebra.Matrix.Charpoly.Minpoly Mathlib.LinearAlgebra.Matrix.GeneralLinearGroup.Basic Mathlib.LinearAlgebra.Matrix.GeneralLinearGroup.Card Mathlib.LinearAlgebra.Matrix.GeneralLinearGroup.Defs Mathlib.LinearAlgebra.Matrix.GeneralLinearGroup.FinTwo Mathlib.LinearAlgebra.Matrix.GeneralLinearGroup.Projective Mathlib.LinearAlgebra.Matrix.PosDef Mathlib.LinearAlgebra.Matrix.Rank Mathlib.LinearAlgebra.Matrix.SesquilinearForm Mathlib.LinearAlgebra.Matrix.ToLinearEquiv Mathlib.LinearAlgebra.Orientation Mathlib.LinearAlgebra.QuadraticForm.AlgClosed Mathlib.LinearAlgebra.QuadraticForm.Basic Mathlib.LinearAlgebra.QuadraticForm.Basis Mathlib.LinearAlgebra.QuadraticForm.Dual Mathlib.LinearAlgebra.QuadraticForm.IsometryEquiv Mathlib.LinearAlgebra.QuadraticForm.Isometry Mathlib.LinearAlgebra.QuadraticForm.Prod Mathlib.LinearAlgebra.QuadraticForm.QuadraticModuleCat.Monoidal Mathlib.LinearAlgebra.QuadraticForm.QuadraticModuleCat.Symmetric Mathlib.LinearAlgebra.QuadraticForm.QuadraticModuleCat Mathlib.LinearAlgebra.QuadraticForm.Radical Mathlib.LinearAlgebra.QuadraticForm.Signature Mathlib.LinearAlgebra.QuadraticForm.TensorProduct.Isometries Mathlib.LinearAlgebra.QuadraticForm.TensorProduct Mathlib.LinearAlgebra.SesquilinearForm.Star Mathlib.LinearAlgebra.SpecialLinearGroup Mathlib.LinearAlgebra.Transvection Mathlib.NumberTheory.FLT.Polynomial Mathlib.NumberTheory.KummerDedekind Mathlib.NumberTheory.LegendreSymbol.Basic Mathlib.NumberTheory.LegendreSymbol.GaussEisensteinLemmas Mathlib.NumberTheory.LegendreSymbol.QuadraticChar.Basic Mathlib.NumberTheory.NumberField.Basic Mathlib.NumberTheory.NumberField.Discriminant.Defs Mathlib.NumberTheory.NumberField.FractionalIdeal Mathlib.NumberTheory.NumberField.Ideal.KummerDedekind Mathlib.NumberTheory.NumberField.Norm Mathlib.NumberTheory.PowModTotient Mathlib.NumberTheory.RamificationInertia.Basic Mathlib.NumberTheory.SumFourSquares Mathlib.NumberTheory.SumTwoSquares Mathlib.NumberTheory.Wilson Mathlib.NumberTheory.Zsqrtd.QuadraticReciprocity Mathlib.RepresentationTheory.FDRep Mathlib.RepresentationTheory.Homological.GroupCohomology.FiniteCyclic Mathlib.RepresentationTheory.Homological.GroupCohomology.Functoriality Mathlib.RepresentationTheory.Homological.GroupCohomology.Hilbert90 Mathlib.RepresentationTheory.Homological.GroupCohomology.LongExactSequence Mathlib.RepresentationTheory.Homological.GroupCohomology.LowDegree Mathlib.RepresentationTheory.Homological.GroupHomology.FiniteCyclic Mathlib.RepresentationTheory.Homological.GroupHomology.Functoriality Mathlib.RepresentationTheory.Homological.GroupHomology.LongExactSequence Mathlib.RepresentationTheory.Homological.GroupHomology.LowDegree Mathlib.RepresentationTheory.Invariants Mathlib.RepresentationTheory.Tannaka Mathlib.RingTheory.Adjoin.Field Mathlib.RingTheory.Adjoin.PowerBasis Mathlib.RingTheory.AdjoinRoot Mathlib.RingTheory.Algebraic.Basic Mathlib.RingTheory.Algebraic.Integral Mathlib.RingTheory.Algebraic.MvPolynomial Mathlib.RingTheory.AlgebraicIndependent.Adjoin Mathlib.RingTheory.AlgebraicIndependent.AlgebraicClosure Mathlib.RingTheory.AlgebraicIndependent.RankAndCardinality Mathlib.RingTheory.AlgebraicIndependent.TranscendenceBasis Mathlib.RingTheory.AlgebraicIndependent.Transcendental Mathlib.RingTheory.ClassGroup Mathlib.RingTheory.Complex Mathlib.RingTheory.Conductor Mathlib.RingTheory.DedekindDomain.Basic Mathlib.RingTheory.DedekindDomain.Dvr Mathlib.RingTheory.DedekindDomain.Ideal.Basic Mathlib.RingTheory.DedekindDomain.Ideal.Lemmas Mathlib.RingTheory.DedekindDomain.Instances Mathlib.RingTheory.DedekindDomain.IntegralClosure Mathlib.RingTheory.DedekindDomain.PID Mathlib.RingTheory.Derivation.MapCoeffs Mathlib.RingTheory.DiscreteValuationRing.TFAE Mathlib.RingTheory.Discriminant Mathlib.RingTheory.Etale.Basic Mathlib.RingTheory.Etale.Kaehler Mathlib.RingTheory.Etale.Pi Mathlib.RingTheory.Etale.StandardEtale Mathlib.RingTheory.Extension.Cotangent.Basis Mathlib.RingTheory.Extension.Cotangent.Free Mathlib.RingTheory.Extension.Cotangent.LocalizationAway Mathlib.RingTheory.Extension.Presentation.Core Mathlib.RingTheory.Extension.Presentation.Submersive Mathlib.RingTheory.Finiteness.FinitePresentationLocal Mathlib.RingTheory.Finiteness.ModuleFinitePresentation Mathlib.RingTheory.FractionalIdeal.Extended Mathlib.RingTheory.FractionalIdeal.Norm Mathlib.RingTheory.Ideal.GoingUp Mathlib.RingTheory.Ideal.Int Mathlib.RingTheory.Ideal.Norm.AbsNorm Mathlib.RingTheory.Ideal.Quotient.HasFiniteQuotients Mathlib.RingTheory.IntegralClosure.IntegralRestrict Mathlib.RingTheory.IntegralClosure.IntegrallyClosed Mathlib.RingTheory.IntegralClosure.IsIntegralClosure.Basic Mathlib.RingTheory.Invariant.Basic Mathlib.RingTheory.IsAdjoinRoot Mathlib.RingTheory.LinearDisjoint Mathlib.RingTheory.LocalProperties.IntegrallyClosed Mathlib.RingTheory.LocalRing.ResidueField.Instances Mathlib.RingTheory.Localization.AtPrime.Extension Mathlib.RingTheory.Localization.Away.AdjoinRoot Mathlib.RingTheory.Localization.Integral Mathlib.RingTheory.Localization.NormTrace Mathlib.RingTheory.Nilpotent.GeometricallyReduced Mathlib.RingTheory.NoetherNormalization Mathlib.RingTheory.Norm.Basic Mathlib.RingTheory.Norm.Defs Mathlib.RingTheory.Norm.Transitivity Mathlib.RingTheory.NormTrace Mathlib.RingTheory.NormalClosure Mathlib.RingTheory.Polynomial.DegreeLT Mathlib.RingTheory.Polynomial.GaussLemma Mathlib.RingTheory.Polynomial.IsIntegral Mathlib.RingTheory.Polynomial.RationalRoot Mathlib.RingTheory.Polynomial.Resultant.Basic Mathlib.RingTheory.Polynomial.SeparableDegree Mathlib.RingTheory.Polynomial.SmallDegreeVieta Mathlib.RingTheory.Polynomial.UniqueFactorization Mathlib.RingTheory.Polynomial.UniversalFactorizationRing Mathlib.RingTheory.Polynomial.Vieta Mathlib.RingTheory.PowerBasis Mathlib.RingTheory.RingHom.FinitePresentation Mathlib.RingTheory.RingHom.Integral Mathlib.RingTheory.RootsOfUnity.Lemmas Mathlib.RingTheory.RootsOfUnity.Minpoly Mathlib.RingTheory.Smooth.AdicCompletion Mathlib.RingTheory.Smooth.Basic Mathlib.RingTheory.Smooth.Pi Mathlib.RingTheory.Smooth.StandardSmoothCotangent Mathlib.RingTheory.Smooth.StandardSmooth Mathlib.RingTheory.TensorProduct.IsBaseChangeHom Mathlib.RingTheory.TotallySplit Mathlib.RingTheory.Trace.Basic Mathlib.RingTheory.Trace.Defs Mathlib.RingTheory.UniqueFactorizationDomain.ClassGroup Mathlib.RingTheory.Unramified.Basic Mathlib.RingTheory.Unramified.Finite Mathlib.RingTheory.Unramified.Pi Mathlib.RingTheory.Valuation.AlgebraInstances Mathlib.RingTheory.Valuation.Integral Mathlib.RingTheory.Valuation.LocalSubring Mathlib.RingTheory.Valuation.Minpoly Mathlib.RingTheory.ZMod.Torsion	10
Mathlib.RingTheory.Artinian.Instances	12
15 files Mathlib.Algebra.MvPolynomial.Expand Mathlib.Algebra.MvPolynomial.Nilpotent Mathlib.Algebra.MvPolynomial.NoZeroDivisors Mathlib.Algebra.Polynomial.Homogenize Mathlib.Combinatorics.Nullstellensatz Mathlib.RingTheory.MvPolynomial.EulerIdentity Mathlib.RingTheory.MvPolynomial.Expand Mathlib.RingTheory.MvPolynomial.Groebner Mathlib.RingTheory.MvPolynomial.Homogeneous Mathlib.RingTheory.MvPolynomial.Ideal Mathlib.RingTheory.MvPolynomial.IrreducibleQuadratic Mathlib.RingTheory.MvPolynomial.MonomialOrder.DegLex Mathlib.RingTheory.MvPolynomial.MonomialOrder Mathlib.RingTheory.Polynomial.HilbertPoly Mathlib.RingTheory.WittVector.WittPolynomial	14
23 files Mathlib.Algebra.CubicDiscriminant Mathlib.Algebra.MvPolynomial.Funext Mathlib.Algebra.MvPolynomial.SchwartzZippel Mathlib.Algebra.Polynomial.Degree.CardPowDegree Mathlib.Algebra.Polynomial.FieldDivision Mathlib.Algebra.Polynomial.SpecificDegree Mathlib.Algebra.Polynomial.Splits Mathlib.AlgebraicGeometry.EllipticCurve.ModelsWithJ Mathlib.AlgebraicGeometry.EllipticCurve.NormalForms Mathlib.AlgebraicGeometry.EllipticCurve.VariableChange Mathlib.AlgebraicGeometry.EllipticCurve.Weierstrass Mathlib.LinearAlgebra.Matrix.FixedDetMatrices Mathlib.LinearAlgebra.Matrix.ProjectiveSpecialLinearGroup Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup Mathlib.NumberTheory.FLT.MasonStothers Mathlib.RingTheory.Polynomial.ContentIdeal Mathlib.RingTheory.Polynomial.Content Mathlib.RingTheory.Polynomial.Eisenstein.Basic Mathlib.RingTheory.Polynomial.Eisenstein.Criterion Mathlib.RingTheory.Polynomial.IntegralNormalization Mathlib.RingTheory.Polynomial.Morse Mathlib.RingTheory.Polynomial.Radical Mathlib.RingTheory.Polynomial.ScaleRoots	16
7 files Mathlib.NumberTheory.LucasPrimality Mathlib.RingTheory.IntegralDomain Mathlib.RingTheory.Polynomial.Dickson Mathlib.RingTheory.RootsOfUnity.Basic Mathlib.RingTheory.RootsOfUnity.CyclotomicUnits Mathlib.RingTheory.RootsOfUnity.EnoughRootsOfUnity Mathlib.RingTheory.RootsOfUnity.PrimitiveRoots	17
Mathlib.RingTheory.Algebraic.Cardinality	23
Mathlib.Algebra.Polynomial.Roots Mathlib.Algebra.Polynomial.RuleOfSigns	26

---

Declarations diff (regex)

+ TendstoCofinite_of_nonconst_polynomial

You can run this locally as follows

## from your `mathlib4` directory:
git clone https://github.com/leanprover-community/mathlib-ci.git ../mathlib-ci

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

## more verbose report:
../mathlib-ci/scripts/pr_summary/declarations_diff.sh long <optional_commit>

The doc-module for scripts/pr_summary/declarations_diff.sh in the mathlib-ci repository contains some details about this script.

Declarations diff (Lean -- pending)

Computed after the build finishes.

---

No changes to strong technical debt.

No changes to weak technical debt.

Current commit a5732668c5
Reference commit 1174c6410e

This script lives in the mathlib-ci repository. To run it locally, from your mathlib4 directory:

git clone https://github.com/leanprover-community/mathlib-ci.git ../mathlib-ci
../mathlib-ci/scripts/reporting/technical-debt-metrics.sh pr_summary

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