feat: better norm_num for rpow

[yury-harmonic]

• Use recently added Nat.nthRoot to make (a : ℝ) ^ (b : ℝ) work for rational a ≥ 0 and b.
• Simplify the logic by using .eqTrans.

---

[github-actions]

PR summary 4e56e21745

Import changes for modified files

Dependency changes

File	Base Count	Head Count	Change
Mathlib.Analysis.SpecialFunctions.Pow.Real	1778	1779	+1 (+0.06%)

Import changes for all files

Files

Import difference

599 files Mathlib.Algebra.Module.ZLattice.Basic Mathlib.Algebra.Module.ZLattice.Covolume Mathlib.Analysis.AbsoluteValue.Equivalence Mathlib.Analysis.Analytic.RadiusLiminf Mathlib.Analysis.Analytic.WithLp Mathlib.Analysis.Asymptotics.ExpGrowth Mathlib.Analysis.Asymptotics.SpecificAsymptotics Mathlib.Analysis.BoundedVariation Mathlib.Analysis.BoxIntegral.Basic Mathlib.Analysis.BoxIntegral.DivergenceTheorem Mathlib.Analysis.BoxIntegral.Integrability Mathlib.Analysis.BoxIntegral.Partition.Measure Mathlib.Analysis.BoxIntegral.UnitPartition Mathlib.Analysis.CStarAlgebra.ApproximateUnit Mathlib.Analysis.CStarAlgebra.CStarMatrix Mathlib.Analysis.CStarAlgebra.CompletelyPositiveMap Mathlib.Analysis.CStarAlgebra.ContinuousFunctionalCalculus.Basic Mathlib.Analysis.CStarAlgebra.ContinuousFunctionalCalculus.Commute Mathlib.Analysis.CStarAlgebra.ContinuousFunctionalCalculus.Continuity Mathlib.Analysis.CStarAlgebra.ContinuousFunctionalCalculus.Instances Mathlib.Analysis.CStarAlgebra.ContinuousFunctionalCalculus.Integral Mathlib.Analysis.CStarAlgebra.ContinuousFunctionalCalculus.Isometric Mathlib.Analysis.CStarAlgebra.ContinuousFunctionalCalculus.Order Mathlib.Analysis.CStarAlgebra.ContinuousFunctionalCalculus.Range Mathlib.Analysis.CStarAlgebra.ContinuousLinearMap Mathlib.Analysis.CStarAlgebra.GelfandDuality Mathlib.Analysis.CStarAlgebra.Hom Mathlib.Analysis.CStarAlgebra.Matrix Mathlib.Analysis.CStarAlgebra.Module.Constructions Mathlib.Analysis.CStarAlgebra.Module.Defs Mathlib.Analysis.CStarAlgebra.Multiplier Mathlib.Analysis.CStarAlgebra.PositiveLinearMap Mathlib.Analysis.CStarAlgebra.Projection Mathlib.Analysis.CStarAlgebra.SpecialFunctions.PosPart Mathlib.Analysis.CStarAlgebra.Spectrum Mathlib.Analysis.CStarAlgebra.Unitary.Connected Mathlib.Analysis.CStarAlgebra.Unitary.Span Mathlib.Analysis.CStarAlgebra.lpSpace Mathlib.Analysis.Calculus.BumpFunction.Convolution Mathlib.Analysis.Calculus.BumpFunction.FiniteDimension Mathlib.Analysis.Calculus.BumpFunction.InnerProduct Mathlib.Analysis.Calculus.BumpFunction.Normed Mathlib.Analysis.Calculus.BumpFunction.SmoothApprox Mathlib.Analysis.Calculus.ContDiff.WithLp Mathlib.Analysis.Calculus.Deriv.Abs Mathlib.Analysis.Calculus.FDeriv.Norm Mathlib.Analysis.Calculus.FDeriv.WithLp Mathlib.Analysis.Calculus.LineDeriv.IntegrationByParts Mathlib.Analysis.Calculus.LogDerivUniformlyOn Mathlib.Analysis.Calculus.Monotone Mathlib.Analysis.Calculus.ParametricIntegral Mathlib.Analysis.Calculus.ParametricIntervalIntegral Mathlib.Analysis.Calculus.Rademacher Mathlib.Analysis.Complex.AbsMax Mathlib.Analysis.Complex.CauchyIntegral Mathlib.Analysis.Complex.Hadamard Mathlib.Analysis.Complex.Harmonic.Analytic Mathlib.Analysis.Complex.Harmonic.MeanValue Mathlib.Analysis.Complex.HasPrimitives Mathlib.Analysis.Complex.JensenFormula Mathlib.Analysis.Complex.Liouville Mathlib.Analysis.Complex.LocallyUniformLimit Mathlib.Analysis.Complex.MeanValue Mathlib.Analysis.Complex.OpenMapping Mathlib.Analysis.Complex.Periodic Mathlib.Analysis.Complex.PhragmenLindelof Mathlib.Analysis.Complex.Polynomial.Basic Mathlib.Analysis.Complex.Polynomial.GaussLucas Mathlib.Analysis.Complex.Polynomial.UnitTrinomial Mathlib.Analysis.Complex.Positivity Mathlib.Analysis.Complex.RemovableSingularity Mathlib.Analysis.Complex.Schwarz Mathlib.Analysis.Complex.SummableUniformlyOn Mathlib.Analysis.Complex.TaylorSeries Mathlib.Analysis.Complex.UpperHalfPlane.Exp Mathlib.Analysis.Complex.UpperHalfPlane.Manifold Mathlib.Analysis.Complex.ValueDistribution.CharacteristicFunction Mathlib.Analysis.Complex.ValueDistribution.FirstMainTheorem Mathlib.Analysis.Complex.ValueDistribution.ProximityFunction Mathlib.Analysis.Convex.Birkhoff Mathlib.Analysis.Convex.Cone.InnerDual Mathlib.Analysis.Convex.DoublyStochasticMatrix Mathlib.Analysis.Convex.Integral Mathlib.Analysis.Convex.Measure Mathlib.Analysis.Convex.SpecificFunctions.Basic Mathlib.Analysis.Convex.SpecificFunctions.Pow Mathlib.Analysis.Convolution Mathlib.Analysis.Distribution.AEEqOfIntegralContDiff Mathlib.Analysis.Distribution.FourierSchwartz Mathlib.Analysis.Distribution.SchwartzSpace Mathlib.Analysis.Fourier.AddCircleMulti Mathlib.Analysis.Fourier.AddCircle Mathlib.Analysis.Fourier.FiniteAbelian.Orthogonality Mathlib.Analysis.Fourier.FiniteAbelian.PontryaginDuality Mathlib.Analysis.Fourier.FourierTransformDeriv Mathlib.Analysis.Fourier.FourierTransform Mathlib.Analysis.Fourier.Inversion Mathlib.Analysis.Fourier.PoissonSummation Mathlib.Analysis.Fourier.RiemannLebesgueLemma Mathlib.Analysis.Fourier.ZMod Mathlib.Analysis.FunctionalSpaces.SobolevInequality Mathlib.Analysis.InnerProductSpace.Adjoint Mathlib.Analysis.InnerProductSpace.Calculus Mathlib.Analysis.InnerProductSpace.CanonicalTensor Mathlib.Analysis.InnerProductSpace.EuclideanDist Mathlib.Analysis.InnerProductSpace.GramMatrix Mathlib.Analysis.InnerProductSpace.GramSchmidtOrtho Mathlib.Analysis.InnerProductSpace.Harmonic.Analytic Mathlib.Analysis.InnerProductSpace.Harmonic.Basic Mathlib.Analysis.InnerProductSpace.Harmonic.Constructions Mathlib.Analysis.InnerProductSpace.JointEigenspace Mathlib.Analysis.InnerProductSpace.Laplacian Mathlib.Analysis.InnerProductSpace.LinearPMap Mathlib.Analysis.InnerProductSpace.MulOpposite Mathlib.Analysis.InnerProductSpace.NormPow Mathlib.Analysis.InnerProductSpace.Orientation Mathlib.Analysis.InnerProductSpace.PiL2 Mathlib.Analysis.InnerProductSpace.Positive Mathlib.Analysis.InnerProductSpace.ProdL2 Mathlib.Analysis.InnerProductSpace.Rayleigh Mathlib.Analysis.InnerProductSpace.Spectrum Mathlib.Analysis.InnerProductSpace.StarOrder Mathlib.Analysis.InnerProductSpace.TensorProduct Mathlib.Analysis.InnerProductSpace.Trace Mathlib.Analysis.InnerProductSpace.TwoDim Mathlib.Analysis.InnerProductSpace.l2Space Mathlib.Analysis.Matrix.Order Mathlib.Analysis.Matrix Mathlib.Analysis.MeanInequalitiesPow Mathlib.Analysis.MeanInequalities Mathlib.Analysis.MellinInversion Mathlib.Analysis.MellinTransform Mathlib.Analysis.Meromorphic.Complex Mathlib.Analysis.Normed.Algebra.Basic Mathlib.Analysis.Normed.Algebra.DualNumber Mathlib.Analysis.Normed.Algebra.GelfandFormula Mathlib.Analysis.Normed.Algebra.MatrixExponential Mathlib.Analysis.Normed.Algebra.QuaternionExponential Mathlib.Analysis.Normed.Algebra.Spectrum Mathlib.Analysis.Normed.Algebra.TrivSqZeroExt Mathlib.Analysis.Normed.Algebra.UnitizationL1 Mathlib.Analysis.Normed.Lp.LpEquiv Mathlib.Analysis.Normed.Lp.MeasurableSpace Mathlib.Analysis.Normed.Lp.PiLp Mathlib.Analysis.Normed.Lp.ProdLp Mathlib.Analysis.Normed.Lp.lpSpace Mathlib.Analysis.Normed.Unbundled.AlgebraNorm Mathlib.Analysis.Normed.Unbundled.FiniteExtension Mathlib.Analysis.Normed.Unbundled.InvariantExtension Mathlib.Analysis.Normed.Unbundled.IsPowMulFaithful Mathlib.Analysis.Normed.Unbundled.RingSeminorm Mathlib.Analysis.Normed.Unbundled.SeminormFromBounded Mathlib.Analysis.Normed.Unbundled.SeminormFromConst Mathlib.Analysis.Normed.Unbundled.SmoothingSeminorm Mathlib.Analysis.Normed.Unbundled.SpectralNorm Mathlib.Analysis.NormedSpace.DualNumber Mathlib.Analysis.NormedSpace.MultipliableUniformlyOn Mathlib.Analysis.ODE.PicardLindelof Mathlib.Analysis.PSeriesComplex Mathlib.Analysis.PSeries Mathlib.Analysis.Polynomial.Basic Mathlib.Analysis.Polynomial.Factorization Mathlib.Analysis.Polynomial.MahlerMeasure Mathlib.Analysis.Quaternion Mathlib.Analysis.RCLike.Inner Mathlib.Analysis.Real.Pi.Chudnovsky Mathlib.Analysis.Real.Pi.Irrational Mathlib.Analysis.Real.Pi.Leibniz Mathlib.Analysis.Real.Pi.Wallis Mathlib.Analysis.SpecialFunctions.BinaryEntropy Mathlib.Analysis.SpecialFunctions.CompareExp Mathlib.Analysis.SpecialFunctions.Complex.Analytic Mathlib.Analysis.SpecialFunctions.Complex.Arctan Mathlib.Analysis.SpecialFunctions.Complex.CircleAddChar Mathlib.Analysis.SpecialFunctions.Complex.LogBounds Mathlib.Analysis.SpecialFunctions.ContinuousFunctionalCalculus.PosPart.Isometric Mathlib.Analysis.SpecialFunctions.ContinuousFunctionalCalculus.Rpow.Basic Mathlib.Analysis.SpecialFunctions.ContinuousFunctionalCalculus.Rpow.IntegralRepresentation Mathlib.Analysis.SpecialFunctions.ContinuousFunctionalCalculus.Rpow.Isometric Mathlib.Analysis.SpecialFunctions.Gamma.Basic Mathlib.Analysis.SpecialFunctions.Gamma.Beta Mathlib.Analysis.SpecialFunctions.Gamma.BohrMollerup Mathlib.Analysis.SpecialFunctions.Gamma.Deligne Mathlib.Analysis.SpecialFunctions.Gamma.Deriv Mathlib.Analysis.SpecialFunctions.Gaussian.FourierTransform Mathlib.Analysis.SpecialFunctions.Gaussian.GaussianIntegral Mathlib.Analysis.SpecialFunctions.Gaussian.PoissonSummation Mathlib.Analysis.SpecialFunctions.ImproperIntegrals Mathlib.Analysis.SpecialFunctions.Integrability.Basic Mathlib.Analysis.SpecialFunctions.Integrability.LogMeromorphic Mathlib.Analysis.SpecialFunctions.Integrals.Basic Mathlib.Analysis.SpecialFunctions.Integrals.LogTrigonometric Mathlib.Analysis.SpecialFunctions.Integrals.PosLogEqCircleAverage Mathlib.Analysis.SpecialFunctions.JapaneseBracket Mathlib.Analysis.SpecialFunctions.Log.Base Mathlib.Analysis.SpecialFunctions.Log.ENNRealLogExp Mathlib.Analysis.SpecialFunctions.Log.ENNRealLog Mathlib.Analysis.SpecialFunctions.Log.Monotone Mathlib.Analysis.SpecialFunctions.Log.NegMulLog Mathlib.Analysis.SpecialFunctions.Log.Summable Mathlib.Analysis.SpecialFunctions.MulExpNegMulSqIntegral Mathlib.Analysis.SpecialFunctions.NonIntegrable Mathlib.Analysis.SpecialFunctions.PolarCoord Mathlib.Analysis.SpecialFunctions.Pow.Asymptotics Mathlib.Analysis.SpecialFunctions.Pow.Continuity Mathlib.Analysis.SpecialFunctions.Pow.Deriv Mathlib.Analysis.SpecialFunctions.Pow.Integral Mathlib.Analysis.SpecialFunctions.Pow.NNReal Mathlib.Analysis.SpecialFunctions.Pow.Real Mathlib.Analysis.SpecialFunctions.Stirling Mathlib.Analysis.SpecialFunctions.Trigonometric.Cotangent Mathlib.Analysis.SpecialFunctions.Trigonometric.EulerSineProd Mathlib.Analysis.SpecificLimits.FloorPow Mathlib.Analysis.SumIntegralComparisons Mathlib.Analysis.VonNeumannAlgebra.Basic Mathlib.Combinatorics.Additive.AP.Three.Behrend Mathlib.Combinatorics.Additive.Corner.Roth Mathlib.Combinatorics.Additive.Randomisation Mathlib.Combinatorics.Extremal.RuzsaSzemeredi Mathlib.Combinatorics.SimpleGraph.LapMatrix Mathlib.Combinatorics.SimpleGraph.Regularity.Bound Mathlib.Combinatorics.SimpleGraph.Regularity.Chunk Mathlib.Combinatorics.SimpleGraph.Regularity.Increment Mathlib.Combinatorics.SimpleGraph.Regularity.Lemma Mathlib.Combinatorics.SimpleGraph.Triangle.Removal Mathlib.Computability.AkraBazzi.AkraBazzi Mathlib.Computability.AkraBazzi.GrowsPolynomially Mathlib.Computability.AkraBazzi.SumTransform Mathlib.Data.Real.Pi.Irrational Mathlib.Data.Real.Pi.Leibniz Mathlib.Data.Real.Pi.Wallis Mathlib.Dynamics.Ergodic.Action.OfMinimal Mathlib.Dynamics.Ergodic.AddCircleAdd Mathlib.Dynamics.Ergodic.AddCircle Mathlib.Dynamics.Ergodic.Extreme Mathlib.Dynamics.Ergodic.RadonNikodym Mathlib.Dynamics.TopologicalEntropy.CoverEntropy Mathlib.Dynamics.TopologicalEntropy.NetEntropy Mathlib.Dynamics.TopologicalEntropy.Semiconj Mathlib.Dynamics.TopologicalEntropy.Subset Mathlib.Geometry.Euclidean.Angle.Oriented.Affine Mathlib.Geometry.Euclidean.Angle.Oriented.Basic Mathlib.Geometry.Euclidean.Angle.Oriented.RightAngle Mathlib.Geometry.Euclidean.Angle.Oriented.Rotation Mathlib.Geometry.Euclidean.Angle.Sphere Mathlib.Geometry.Euclidean.Angle.Unoriented.CrossProduct Mathlib.Geometry.Euclidean.Congruence Mathlib.Geometry.Euclidean.Inversion.Calculus Mathlib.Geometry.Euclidean.Sphere.Ptolemy Mathlib.Geometry.Euclidean.Triangle Mathlib.Geometry.Manifold.Bordism Mathlib.Geometry.Manifold.BumpFunction Mathlib.Geometry.Manifold.Complex Mathlib.Geometry.Manifold.Instances.Icc Mathlib.Geometry.Manifold.Instances.Real Mathlib.Geometry.Manifold.Instances.Sphere Mathlib.Geometry.Manifold.IntegralCurve.ExistUnique Mathlib.Geometry.Manifold.IntegralCurve.UniformTime Mathlib.Geometry.Manifold.PartitionOfUnity Mathlib.Geometry.Manifold.PoincareConjecture Mathlib.Geometry.Manifold.Riemannian.Basic Mathlib.Geometry.Manifold.Riemannian.PathELength Mathlib.Geometry.Manifold.WhitneyEmbedding Mathlib.InformationTheory.KullbackLeibler.Basic Mathlib.InformationTheory.KullbackLeibler.KLFun Mathlib.LinearAlgebra.Matrix.HermitianFunctionalCalculus Mathlib.LinearAlgebra.Matrix.Hermitian Mathlib.LinearAlgebra.Matrix.LDL Mathlib.LinearAlgebra.Matrix.Permutation Mathlib.LinearAlgebra.Matrix.PosDef Mathlib.LinearAlgebra.Matrix.Spectrum Mathlib.LinearAlgebra.Matrix.Swap Mathlib.MeasureTheory.Constructions.HaarToSphere Mathlib.MeasureTheory.Constructions.UnitInterval Mathlib.MeasureTheory.Covering.BesicovitchVectorSpace Mathlib.MeasureTheory.Covering.Besicovitch Mathlib.MeasureTheory.Covering.DensityTheorem Mathlib.MeasureTheory.Covering.Differentiation Mathlib.MeasureTheory.Covering.LiminfLimsup Mathlib.MeasureTheory.Covering.OneDim Mathlib.MeasureTheory.Function.AEEqOfIntegral Mathlib.MeasureTheory.Function.ConditionalExpectation.AEMeasurable Mathlib.MeasureTheory.Function.ConditionalExpectation.Basic Mathlib.MeasureTheory.Function.ConditionalExpectation.CondexpL1 Mathlib.MeasureTheory.Function.ConditionalExpectation.CondexpL2 Mathlib.MeasureTheory.Function.ConditionalExpectation.Indicator Mathlib.MeasureTheory.Function.ConditionalExpectation.Real Mathlib.MeasureTheory.Function.ConditionalExpectation.Unique Mathlib.MeasureTheory.Function.ContinuousMapDense Mathlib.MeasureTheory.Function.ConvergenceInMeasure Mathlib.MeasureTheory.Function.FactorsThrough Mathlib.MeasureTheory.Function.Holder Mathlib.MeasureTheory.Function.Intersectivity Mathlib.MeasureTheory.Function.JacobianOneDim Mathlib.MeasureTheory.Function.Jacobian Mathlib.MeasureTheory.Function.L1Space.AEEqFun Mathlib.MeasureTheory.Function.L1Space.Integrable Mathlib.MeasureTheory.Function.L2Space Mathlib.MeasureTheory.Function.LocallyIntegrable Mathlib.MeasureTheory.Function.LpOrder Mathlib.MeasureTheory.Function.LpSeminorm.Basic Mathlib.MeasureTheory.Function.LpSeminorm.ChebyshevMarkov Mathlib.MeasureTheory.Function.LpSeminorm.CompareExp Mathlib.MeasureTheory.Function.LpSeminorm.Defs Mathlib.MeasureTheory.Function.LpSeminorm.Prod Mathlib.MeasureTheory.Function.LpSeminorm.TriangleInequality Mathlib.MeasureTheory.Function.LpSeminorm.Trim Mathlib.MeasureTheory.Function.LpSpace.Basic Mathlib.MeasureTheory.Function.LpSpace.Complete Mathlib.MeasureTheory.Function.LpSpace.ContinuousCompMeasurePreserving Mathlib.MeasureTheory.Function.LpSpace.ContinuousFunctions Mathlib.MeasureTheory.Function.LpSpace.DomAct.Basic Mathlib.MeasureTheory.Function.LpSpace.DomAct.Continuous Mathlib.MeasureTheory.Function.LpSpace.Indicator Mathlib.MeasureTheory.Function.SimpleFuncDenseLp Mathlib.MeasureTheory.Function.SpecialFunctions.Basic Mathlib.MeasureTheory.Function.SpecialFunctions.Sinc Mathlib.MeasureTheory.Function.StronglyMeasurable.Lp Mathlib.MeasureTheory.Function.UnifTight Mathlib.MeasureTheory.Function.UniformIntegrable Mathlib.MeasureTheory.Group.AddCircle Mathlib.MeasureTheory.Group.FundamentalDomain Mathlib.MeasureTheory.Group.GeometryOfNumbers Mathlib.MeasureTheory.Group.IntegralConvolution Mathlib.MeasureTheory.Group.Integral Mathlib.MeasureTheory.Group.ModularCharacter Mathlib.MeasureTheory.Integral.Asymptotics Mathlib.MeasureTheory.Integral.Average Mathlib.MeasureTheory.Integral.Bochner.Basic Mathlib.MeasureTheory.Integral.Bochner.ContinuousLinearMap Mathlib.MeasureTheory.Integral.Bochner.FundThmCalculus Mathlib.MeasureTheory.Integral.Bochner.L1 Mathlib.MeasureTheory.Integral.Bochner.Set Mathlib.MeasureTheory.Integral.Bochner.VitaliCaratheodory Mathlib.MeasureTheory.Integral.BochnerL1 Mathlib.MeasureTheory.Integral.Bochner Mathlib.MeasureTheory.Integral.BoundedContinuousFunction Mathlib.MeasureTheory.Integral.CircleAverage Mathlib.MeasureTheory.Integral.CircleIntegral Mathlib.MeasureTheory.Integral.CircleTransform Mathlib.MeasureTheory.Integral.CurveIntegral.Basic Mathlib.MeasureTheory.Integral.DivergenceTheorem Mathlib.MeasureTheory.Integral.DominatedConvergence Mathlib.MeasureTheory.Integral.ExpDecay Mathlib.MeasureTheory.Integral.FinMeasAdditive Mathlib.MeasureTheory.Integral.FundThmCalculus Mathlib.MeasureTheory.Integral.Gamma Mathlib.MeasureTheory.Integral.IntegrableOn Mathlib.MeasureTheory.Integral.IntegralEqImproper Mathlib.MeasureTheory.Integral.IntegrationByParts Mathlib.MeasureTheory.Integral.IntervalAverage Mathlib.MeasureTheory.Integral.IntervalIntegral.Basic Mathlib.MeasureTheory.Integral.IntervalIntegral.ContDiff Mathlib.MeasureTheory.Integral.IntervalIntegral.FundThmCalculus Mathlib.MeasureTheory.Integral.IntervalIntegral.IntegrationByParts Mathlib.MeasureTheory.Integral.IntervalIntegral.LebesgueDifferentiationThm Mathlib.MeasureTheory.Integral.IntervalIntegral.Periodic Mathlib.MeasureTheory.Integral.IntervalIntegral Mathlib.MeasureTheory.Integral.Layercake Mathlib.MeasureTheory.Integral.MeanInequalities Mathlib.MeasureTheory.Integral.PeakFunction Mathlib.MeasureTheory.Integral.Periodic Mathlib.MeasureTheory.Integral.Pi Mathlib.MeasureTheory.Integral.Prod Mathlib.MeasureTheory.Integral.RieszMarkovKakutani.NNReal Mathlib.MeasureTheory.Integral.RieszMarkovKakutani.Real Mathlib.MeasureTheory.Integral.SetIntegral Mathlib.MeasureTheory.Integral.SetToL1 Mathlib.MeasureTheory.Integral.TorusIntegral Mathlib.MeasureTheory.Integral.VitaliCaratheodory Mathlib.MeasureTheory.Measure.CharacteristicFunction Mathlib.MeasureTheory.Measure.Decomposition.IntegralRNDeriv Mathlib.MeasureTheory.Measure.Decomposition.RadonNikodym Mathlib.MeasureTheory.Measure.DiracProba Mathlib.MeasureTheory.Measure.Doubling Mathlib.MeasureTheory.Measure.FiniteMeasureExt Mathlib.MeasureTheory.Measure.FiniteMeasurePi Mathlib.MeasureTheory.Measure.FiniteMeasureProd Mathlib.MeasureTheory.Measure.FiniteMeasure Mathlib.MeasureTheory.Measure.Haar.Disintegration Mathlib.MeasureTheory.Measure.Haar.DistribChar Mathlib.MeasureTheory.Measure.Haar.InnerProductSpace Mathlib.MeasureTheory.Measure.Haar.MulEquivHaarChar Mathlib.MeasureTheory.Measure.Haar.NormedSpace Mathlib.MeasureTheory.Measure.Haar.OfBasis Mathlib.MeasureTheory.Measure.Haar.Quotient Mathlib.MeasureTheory.Measure.Haar.Unique Mathlib.MeasureTheory.Measure.HasOuterApproxClosed Mathlib.MeasureTheory.Measure.Hausdorff Mathlib.MeasureTheory.Measure.IntegralCharFun Mathlib.MeasureTheory.Measure.Lebesgue.Basic Mathlib.MeasureTheory.Measure.Lebesgue.Complex Mathlib.MeasureTheory.Measure.Lebesgue.EqHaar Mathlib.MeasureTheory.Measure.Lebesgue.Integral Mathlib.MeasureTheory.Measure.Lebesgue.VolumeOfBalls Mathlib.MeasureTheory.Measure.LevyProkhorovMetric Mathlib.MeasureTheory.Measure.LogLikelihoodRatio Mathlib.MeasureTheory.Measure.Portmanteau Mathlib.MeasureTheory.Measure.ProbabilityMeasure Mathlib.MeasureTheory.Measure.SeparableMeasure Mathlib.MeasureTheory.Measure.TightNormed Mathlib.MeasureTheory.Measure.Tilted Mathlib.MeasureTheory.Order.UpperLower Mathlib.MeasureTheory.SpecificCodomains.ContinuousMapZero Mathlib.MeasureTheory.SpecificCodomains.ContinuousMap Mathlib.MeasureTheory.SpecificCodomains.Pi Mathlib.MeasureTheory.SpecificCodomains.WithLp Mathlib.MeasureTheory.VectorMeasure.Decomposition.Lebesgue Mathlib.MeasureTheory.VectorMeasure.Decomposition.RadonNikodym Mathlib.MeasureTheory.VectorMeasure.WithDensity Mathlib.NumberTheory.AbelSummation Mathlib.NumberTheory.Bertrand Mathlib.NumberTheory.ClassNumber.AdmissibleCardPowDegree Mathlib.NumberTheory.ClassNumber.Finite Mathlib.NumberTheory.ClassNumber.FunctionField Mathlib.NumberTheory.Cyclotomic.Embeddings Mathlib.NumberTheory.Cyclotomic.PID Mathlib.NumberTheory.Cyclotomic.Three Mathlib.NumberTheory.DirichletCharacter.GaussSum Mathlib.NumberTheory.EulerProduct.DirichletLSeries Mathlib.NumberTheory.FLT.Three Mathlib.NumberTheory.Fermat Mathlib.NumberTheory.GaussSum Mathlib.NumberTheory.Harmonic.Bounds Mathlib.NumberTheory.Harmonic.EulerMascheroni Mathlib.NumberTheory.Harmonic.GammaDeriv Mathlib.NumberTheory.Harmonic.ZetaAsymp Mathlib.NumberTheory.JacobiSum.Basic Mathlib.NumberTheory.LSeries.AbstractFuncEq Mathlib.NumberTheory.LSeries.Basic Mathlib.NumberTheory.LSeries.Convergence Mathlib.NumberTheory.LSeries.Convolution Mathlib.NumberTheory.LSeries.Deriv Mathlib.NumberTheory.LSeries.DirichletContinuation Mathlib.NumberTheory.LSeries.Dirichlet Mathlib.NumberTheory.LSeries.HurwitzZetaEven Mathlib.NumberTheory.LSeries.HurwitzZetaOdd Mathlib.NumberTheory.LSeries.HurwitzZetaValues Mathlib.NumberTheory.LSeries.HurwitzZeta Mathlib.NumberTheory.LSeries.Injectivity Mathlib.NumberTheory.LSeries.Linearity Mathlib.NumberTheory.LSeries.MellinEqDirichlet Mathlib.NumberTheory.LSeries.Nonvanishing Mathlib.NumberTheory.LSeries.Positivity Mathlib.NumberTheory.LSeries.PrimesInAP Mathlib.NumberTheory.LSeries.RiemannZeta Mathlib.NumberTheory.LSeries.SumCoeff Mathlib.NumberTheory.LSeries.ZMod Mathlib.NumberTheory.LegendreSymbol.AddCharacter Mathlib.NumberTheory.LegendreSymbol.JacobiSymbol Mathlib.NumberTheory.LegendreSymbol.QuadraticChar.GaussSum Mathlib.NumberTheory.LegendreSymbol.QuadraticReciprocity Mathlib.NumberTheory.LocalField.Basic Mathlib.NumberTheory.LucasLehmer Mathlib.NumberTheory.ModularForms.Basic Mathlib.NumberTheory.ModularForms.DedekindEta Mathlib.NumberTheory.ModularForms.EisensteinSeries.Basic Mathlib.NumberTheory.ModularForms.EisensteinSeries.IsBoundedAtImInfty Mathlib.NumberTheory.ModularForms.EisensteinSeries.MDifferentiable Mathlib.NumberTheory.ModularForms.EisensteinSeries.QExpansion Mathlib.NumberTheory.ModularForms.EisensteinSeries.Summable Mathlib.NumberTheory.ModularForms.EisensteinSeries.UniformConvergence Mathlib.NumberTheory.ModularForms.JacobiTheta.Bounds Mathlib.NumberTheory.ModularForms.JacobiTheta.Manifold Mathlib.NumberTheory.ModularForms.JacobiTheta.OneVariable Mathlib.NumberTheory.ModularForms.JacobiTheta.TwoVariable Mathlib.NumberTheory.ModularForms.LevelOne Mathlib.NumberTheory.ModularForms.QExpansion Mathlib.NumberTheory.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 Mathlib.NumberTheory.NumberField.Cyclotomic.Embeddings Mathlib.NumberTheory.NumberField.Cyclotomic.PID Mathlib.NumberTheory.NumberField.Cyclotomic.Three Mathlib.NumberTheory.NumberField.DedekindZeta Mathlib.NumberTheory.NumberField.Discriminant.Basic Mathlib.NumberTheory.NumberField.Embeddings 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.Ideal 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.Complex Mathlib.NumberTheory.Padics.ValuativeRel Mathlib.NumberTheory.SiegelsLemma Mathlib.NumberTheory.SumPrimeReciprocals Mathlib.NumberTheory.Transcendental.Lindemann.AnalyticalPart Mathlib.NumberTheory.Transcendental.Liouville.LiouvilleWith Mathlib.NumberTheory.Transcendental.Liouville.Measure Mathlib.NumberTheory.WellApproximable Mathlib.NumberTheory.ZetaValues Mathlib.Probability.BorelCantelli Mathlib.Probability.CDF Mathlib.Probability.CondVar Mathlib.Probability.ConditionalExpectation Mathlib.Probability.Density Mathlib.Probability.Distributions.Beta Mathlib.Probability.Distributions.Exponential Mathlib.Probability.Distributions.Fernique Mathlib.Probability.Distributions.Gamma Mathlib.Probability.Distributions.Gaussian.Basic Mathlib.Probability.Distributions.Gaussian.Fernique Mathlib.Probability.Distributions.Gaussian.Real Mathlib.Probability.Distributions.Gaussian Mathlib.Probability.Distributions.Pareto Mathlib.Probability.Distributions.Uniform Mathlib.Probability.HasLawExists Mathlib.Probability.HasLaw Mathlib.Probability.IdentDistrib 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.Integration Mathlib.Probability.Kernel.CompProdEqIff Mathlib.Probability.Kernel.Composition.AbsolutelyContinuous Mathlib.Probability.Kernel.Composition.IntegralCompProd Mathlib.Probability.Kernel.CondDistrib Mathlib.Probability.Kernel.Condexp Mathlib.Probability.Kernel.Disintegration.CDFToKernel Mathlib.Probability.Kernel.Disintegration.CondCDF Mathlib.Probability.Kernel.Disintegration.Density Mathlib.Probability.Kernel.Disintegration.Integral Mathlib.Probability.Kernel.Disintegration.StandardBorel Mathlib.Probability.Kernel.Disintegration.Unique Mathlib.Probability.Kernel.Integral Mathlib.Probability.Kernel.IonescuTulcea.Traj Mathlib.Probability.Kernel.MeasurableIntegral Mathlib.Probability.Kernel.Posterior Mathlib.Probability.Kernel.RadonNikodym Mathlib.Probability.Kernel.SetIntegral Mathlib.Probability.Kernel.WithDensity Mathlib.Probability.Martingale.Basic Mathlib.Probability.Martingale.BorelCantelli Mathlib.Probability.Martingale.Centering Mathlib.Probability.Martingale.Convergence Mathlib.Probability.Martingale.OptionalSampling Mathlib.Probability.Martingale.OptionalStopping Mathlib.Probability.Martingale.Upcrossing Mathlib.Probability.Moments.Basic Mathlib.Probability.Moments.ComplexMGF Mathlib.Probability.Moments.CovarianceBilinDual Mathlib.Probability.Moments.CovarianceBilin Mathlib.Probability.Moments.Covariance Mathlib.Probability.Moments.IntegrableExpMul Mathlib.Probability.Moments.MGFAnalytic Mathlib.Probability.Moments.SubGaussian Mathlib.Probability.Moments.Tilted Mathlib.Probability.Moments.Variance Mathlib.Probability.Notation Mathlib.Probability.ProbabilityMassFunction.Integrals Mathlib.Probability.Process.Adapted Mathlib.Probability.Process.Filtration Mathlib.Probability.Process.FiniteDimensionalLaws Mathlib.Probability.Process.HittingTime Mathlib.Probability.Process.Kolmogorov Mathlib.Probability.Process.PartitionFiltration Mathlib.Probability.Process.Stopping Mathlib.Probability.ProductMeasure Mathlib.Probability.StrongLaw Mathlib.Probability.Variance Mathlib.RingTheory.Perfection Mathlib.RingTheory.Perfectoid.Untilt Mathlib.RingTheory.Polynomial.Selmer Mathlib.RingTheory.Valuation.DiscreteValuativeRel Mathlib.RingTheory.Valuation.RankOne Mathlib.Tactic.NormNum.Irrational Mathlib.Tactic.NormNum.LegendreSymbol Mathlib.Tactic Mathlib.Topology.Algebra.Valued.LocallyCompact Mathlib.Topology.Algebra.Valued.NormedValued Mathlib.Topology.CWComplex.Abstract.Basic Mathlib.Topology.Category.TopCat.Sphere Mathlib.Topology.Compactification.OnePoint.Sphere Mathlib.Topology.EMetricSpace.PairReduction Mathlib.Topology.MetricSpace.GromovHausdorff Mathlib.Topology.MetricSpace.HausdorffDimension Mathlib.Topology.MetricSpace.HolderNorm Mathlib.Topology.MetricSpace.Holder Mathlib.Topology.MetricSpace.Kuratowski

1

---

Declarations diff

+ IsInt.rpow_eq_inv_pow
+ IsNNRat.rpow_isNNRat
+ IsNat.rpow_eq_pow
+ IsNat.rpow_isNNRat
+ IsRat.neg_negOfNat
+ proveIsNatRPowIsNNRat
+ rpow_isRat_eq_inv_rpow
- isInt_rpow_neg
- isInt_rpow_pos
- isNNRat_rpow_neg
- isNNRat_rpow_pos
- isNat_rpow_neg
- isNat_rpow_pos
- isRat_rpow_neg
- isRat_rpow_pos

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.

---

No changes to technical debt.

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 the relative value divided by the total sum of the inverses of the current values (i.e. the weighted average of the differences).

[yury-harmonic]

@pechersky Here is the norm_num extension I promised in #28768.

[pechersky]

should the tactic report here that negative bases aren't supported, instead of current behavior, which is not changing the goal at all?