feat(Analysis/SpecificLimits/Normed): the sum ∑' n, n ^ k * r ^ n via Stirling numbers

[pepamontero]

Add lemmas around the sum ∑ n ^ 2 * r ^ n next to the existing ∑ n * r ^ n lemmas.

• hasSum_sq_mul_geometric_of_norm_lt_one' / tsum_sq_mul_geometric_of_norm_lt_one': ∑' n : ℕ, n ^ 2 * x ^ n = x * (1 + x) * ((1 - x)⁻¹ʳ) ^ 3 in a normed ring with summable geometric series, stated with Ring.inverse following the pattern of hasSum_coe_mul_geometric_of_norm_lt_one'
• hasSum_sq_mul_geometric_of_norm_lt_one / tsum_sq_mul_geometric_of_norm_lt_one: the version r * (1 + r) / (1 - r) ^ 3 in a normed division ring.

Since the general statement lives in rings that don't need to be CharZero, the existing Nat.cast_choose_two complicates the proof. To simplify this we also add:

• Nat.two_mul_cast_choose_two : 2 * (a.choose 2 : K) = a * (a - 1) in Data/Nat/Choose/Cast.lean, a division-free variant of Nat.cast_choose_two valid in any ring

This means adding the import Mathlib.Data.Nat.Choose.Cast to Analysis/SpecificLimits/Normed.lean.

Motivation: a special case of tsum_sq_mul_geometric_of_norm_lt_one over ℂ was proved in the FLT project and is generalized here to match the surrounding Mathlib API; the private FLT lemma can be replaced by this one.

AI Disclosure: original code in FLT was written by William Coram and Samuel Yin with the assistance of Claude. It was later cleaned up using Codex.

Co-authored-by: William Coram
Co-authored-by: Samuel Yin

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PR summary 51c358cd99

Import changes exceeding 2%

%	File
+33.67%	Mathlib.Combinatorics.Enumerative.Stirling

Import changes for modified files

Dependency changes

File	Base Count	Head Count	Change
Mathlib.Combinatorics.Enumerative.Stirling	493	659	+166 (+33.67%)
Mathlib.Analysis.SpecificLimits.Normed	1594	1592	-2 (-0.13%)

Import changes for all files

Files	Import difference
296 files Mathlib.Analysis.Analytic.Basic Mathlib.Analysis.Analytic.CPolynomialDef Mathlib.Analysis.Analytic.CPolynomial Mathlib.Analysis.Analytic.ChangeOrigin Mathlib.Analysis.Analytic.Composition Mathlib.Analysis.Analytic.Constructions Mathlib.Analysis.Analytic.ConvergenceRadius Mathlib.Analysis.Analytic.Inverse Mathlib.Analysis.Analytic.IsolatedZeros Mathlib.Analysis.Analytic.IteratedFDeriv Mathlib.Analysis.Analytic.Linear Mathlib.Analysis.Analytic.OfScalars Mathlib.Analysis.Analytic.Order Mathlib.Analysis.Analytic.RadiusLiminf Mathlib.Analysis.Analytic.Uniqueness Mathlib.Analysis.Analytic.WithLp Mathlib.Analysis.Analytic.Within Mathlib.Analysis.Asymptotics.ExpGrowth Mathlib.Analysis.Asymptotics.SpecificAsymptotics Mathlib.Analysis.CStarAlgebra.Exponential Mathlib.Analysis.CStarAlgebra.Multiplier Mathlib.Analysis.CStarAlgebra.lpSpace Mathlib.Analysis.Calculus.AbsolutelyMonotone Mathlib.Analysis.Calculus.AddTorsor.AffineMap Mathlib.Analysis.Calculus.Conformal.InnerProduct 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Mathlib.Geometry.Euclidean.NinePointCircle Mathlib.Geometry.Euclidean.PerpBisector Mathlib.Geometry.Euclidean.Projection Mathlib.Geometry.Euclidean.SignedDist Mathlib.Geometry.Euclidean.Similarity Mathlib.Geometry.Euclidean.Simplex Mathlib.Geometry.Euclidean.Sphere.Basic Mathlib.Geometry.Euclidean.Sphere.OrthRadius Mathlib.Geometry.Euclidean.Sphere.Power Mathlib.Geometry.Euclidean.Sphere.Ptolemy Mathlib.Geometry.Euclidean.Sphere.SecondInter Mathlib.Geometry.Euclidean.Sphere.Tangent Mathlib.Geometry.Euclidean.Triangle Mathlib.Geometry.Euclidean.Volume.Measure Mathlib.Geometry.Manifold.Algebra.LeftInvariantDerivation Mathlib.Geometry.Manifold.Algebra.LieGroup Mathlib.Geometry.Manifold.Algebra.Monoid Mathlib.Geometry.Manifold.Algebra.SMul Mathlib.Geometry.Manifold.Algebra.SmoothFunctions Mathlib.Geometry.Manifold.Algebra.Structures Mathlib.Geometry.Manifold.Bordism Mathlib.Geometry.Manifold.BumpFunction Mathlib.Geometry.Manifold.Complex Mathlib.Geometry.Manifold.ContMDiff.Atlas Mathlib.Geometry.Manifold.ContMDiff.Basic Mathlib.Geometry.Manifold.ContMDiff.Constructions Mathlib.Geometry.Manifold.ContMDiff.Defs Mathlib.Geometry.Manifold.ContMDiff.NormedSpace Mathlib.Geometry.Manifold.ContMDiffMFDeriv Mathlib.Geometry.Manifold.ContMDiffMap Mathlib.Geometry.Manifold.DerivationBundle Mathlib.Geometry.Manifold.Diffeomorph Mathlib.Geometry.Manifold.GroupLieAlgebra Mathlib.Geometry.Manifold.Immersion Mathlib.Geometry.Manifold.Instances.Icc Mathlib.Geometry.Manifold.Instances.Real Mathlib.Geometry.Manifold.Instances.Sphere Mathlib.Geometry.Manifold.Instances.UnitsOfNormedAlgebra Mathlib.Geometry.Manifold.IntegralCurve.Basic Mathlib.Geometry.Manifold.IntegralCurve.ExistUnique Mathlib.Geometry.Manifold.IntegralCurve.Transform Mathlib.Geometry.Manifold.IntegralCurve.UniformTime Mathlib.Geometry.Manifold.IsManifold.ExtChartAt Mathlib.Geometry.Manifold.IsManifold.InteriorBoundary Mathlib.Geometry.Manifold.LocalDiffeomorph Mathlib.Geometry.Manifold.MFDeriv.Atlas Mathlib.Geometry.Manifold.MFDeriv.Basic Mathlib.Geometry.Manifold.MFDeriv.Defs Mathlib.Geometry.Manifold.MFDeriv.FDeriv Mathlib.Geometry.Manifold.MFDeriv.NormedSpace Mathlib.Geometry.Manifold.MFDeriv.SpecificFunctions Mathlib.Geometry.Manifold.MFDeriv.Tangent Mathlib.Geometry.Manifold.MFDeriv.UniqueDifferential Mathlib.Geometry.Manifold.Metrizable Mathlib.Geometry.Manifold.Notation Mathlib.Geometry.Manifold.PartitionOfUnity Mathlib.Geometry.Manifold.PoincareConjecture Mathlib.Geometry.Manifold.Riemannian.Basic Mathlib.Geometry.Manifold.Riemannian.PathELength Mathlib.Geometry.Manifold.Sheaf.LocallyRingedSpace Mathlib.Geometry.Manifold.Sheaf.Smooth Mathlib.Geometry.Manifold.SmoothApprox Mathlib.Geometry.Manifold.SmoothEmbedding Mathlib.Geometry.Manifold.Submersion Mathlib.Geometry.Manifold.VectorBundle.Basic Mathlib.Geometry.Manifold.VectorBundle.ContMDiffSection Mathlib.Geometry.Manifold.VectorBundle.CovariantDerivative.Basic Mathlib.Geometry.Manifold.VectorBundle.CovariantDerivative.Metric Mathlib.Geometry.Manifold.VectorBundle.CovariantDerivative.Torsion Mathlib.Geometry.Manifold.VectorBundle.FiberwiseLinear Mathlib.Geometry.Manifold.VectorBundle.Hom Mathlib.Geometry.Manifold.VectorBundle.LocalFrame Mathlib.Geometry.Manifold.VectorBundle.MDifferentiable Mathlib.Geometry.Manifold.VectorBundle.Pullback Mathlib.Geometry.Manifold.VectorBundle.Riemannian Mathlib.Geometry.Manifold.VectorBundle.SmoothSection Mathlib.Geometry.Manifold.VectorBundle.Tangent Mathlib.Geometry.Manifold.VectorBundle.Tensoriality Mathlib.Geometry.Manifold.VectorField.LieBracket Mathlib.Geometry.Manifold.VectorField.Pullback Mathlib.Geometry.Manifold.WhitneyEmbedding Mathlib.InformationTheory.KullbackLeibler.Basic Mathlib.InformationTheory.KullbackLeibler.KLFun Mathlib.LinearAlgebra.Matrix.Permutation Mathlib.LinearAlgebra.Matrix.Stochastic Mathlib.LinearAlgebra.Matrix.Swap Mathlib.LinearAlgebra.QuadraticForm.Complex Mathlib.MeasureTheory.Constructions.BorelSpace.ContinuousLinearMap Mathlib.MeasureTheory.Constructions.HaarToSphere Mathlib.MeasureTheory.Constructions.UnitInterval Mathlib.MeasureTheory.Covering.BesicovitchVectorSpace Mathlib.MeasureTheory.Covering.Besicovitch Mathlib.MeasureTheory.Covering.DensityTheorem Mathlib.MeasureTheory.Covering.Differentiation Mathlib.MeasureTheory.Covering.LiminfLimsup Mathlib.MeasureTheory.Covering.OneDim Mathlib.MeasureTheory.Function.AEEqFun.DomAct Mathlib.MeasureTheory.Function.AEEqOfIntegral Mathlib.MeasureTheory.Function.AbsolutelyContinuous Mathlib.MeasureTheory.Function.ConditionalExpectation.AEMeasurable Mathlib.MeasureTheory.Function.ConditionalExpectation.Unique Mathlib.MeasureTheory.Function.ContinuousMapDense 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.LocallyIntegrable Mathlib.MeasureTheory.Function.LpSeminorm.LpNorm Mathlib.MeasureTheory.Function.LpSpace.CompleteOfCompleteLp Mathlib.MeasureTheory.Function.LpSpace.ContinuousCompMeasurePreserving Mathlib.MeasureTheory.Function.LpSpace.DomAct.Basic Mathlib.MeasureTheory.Function.LpSpace.DomAct.Continuous Mathlib.MeasureTheory.Function.LpSpace.InfiniteSum Mathlib.MeasureTheory.Function.SimpleFuncDenseLp Mathlib.MeasureTheory.Function.SpecialFunctions.RCLike Mathlib.MeasureTheory.Function.SpecialFunctions.Sinc Mathlib.MeasureTheory.Function.StronglyMeasurable.Lemmas Mathlib.MeasureTheory.Function.StronglyMeasurable.Lp Mathlib.MeasureTheory.Function.UnifTight Mathlib.MeasureTheory.Function.UniformIntegrable Mathlib.MeasureTheory.Group.AddCircle Mathlib.MeasureTheory.Group.FundamentalDomain Mathlib.MeasureTheory.Group.GeometryOfNumbers Mathlib.MeasureTheory.Group.IntegralConvolution Mathlib.MeasureTheory.Group.Integral Mathlib.MeasureTheory.Group.ModularCharacter Mathlib.MeasureTheory.Integral.Asymptotics Mathlib.MeasureTheory.Integral.Average Mathlib.MeasureTheory.Integral.Bochner.Basic Mathlib.MeasureTheory.Integral.Bochner.ContinuousLinearMap Mathlib.MeasureTheory.Integral.Bochner.FundThmCalculus Mathlib.MeasureTheory.Integral.Bochner.L1 Mathlib.MeasureTheory.Integral.Bochner.Set Mathlib.MeasureTheory.Integral.Bochner.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 Mathlib.MeasureTheory.Integral.IntegrableOn Mathlib.MeasureTheory.Integral.IntegralEqImproper Mathlib.MeasureTheory.Integral.IntervalAverage Mathlib.MeasureTheory.Integral.IntervalIntegral.AbsolutelyContinuousFun Mathlib.MeasureTheory.Integral.IntervalIntegral.Basic Mathlib.MeasureTheory.Integral.IntervalIntegral.ContDiff Mathlib.MeasureTheory.Integral.IntervalIntegral.DerivIntegrable Mathlib.MeasureTheory.Integral.IntervalIntegral.DistLEIntegral Mathlib.MeasureTheory.Integral.IntervalIntegral.FundThmCalculus Mathlib.MeasureTheory.Integral.IntervalIntegral.IntegrationByParts Mathlib.MeasureTheory.Integral.IntervalIntegral.LebesgueDifferentiationThm Mathlib.MeasureTheory.Integral.IntervalIntegral.MeanValue Mathlib.MeasureTheory.Integral.IntervalIntegral.Periodic Mathlib.MeasureTheory.Integral.IntervalIntegral.Slope Mathlib.MeasureTheory.Integral.IntervalIntegral.TrapezoidalRule Mathlib.MeasureTheory.Integral.Layercake Mathlib.MeasureTheory.Integral.MeanValue Mathlib.MeasureTheory.Integral.PeakFunction Mathlib.MeasureTheory.Integral.Pi Mathlib.MeasureTheory.Integral.Prod Mathlib.MeasureTheory.Integral.Regular Mathlib.MeasureTheory.Integral.RieszMarkovKakutani.NNReal Mathlib.MeasureTheory.Integral.RieszMarkovKakutani.Real Mathlib.MeasureTheory.Integral.SetToL1 Mathlib.MeasureTheory.Integral.TorusIntegral Mathlib.MeasureTheory.Measure.Decomposition.IntegralRNDeriv Mathlib.MeasureTheory.Measure.Decomposition.RadonNikodym Mathlib.MeasureTheory.Measure.DiracProba 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.Extension 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.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.Prokhorov Mathlib.MeasureTheory.Measure.ResolventTransform 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.Integral Mathlib.MeasureTheory.VectorMeasure.SetIntegral Mathlib.MeasureTheory.VectorMeasure.Variation.Semivariation Mathlib.MeasureTheory.VectorMeasure.WithDensityVec Mathlib.MeasureTheory.VectorMeasure.WithDensity Mathlib.NumberTheory.AbelSummation Mathlib.NumberTheory.Chebyshev Mathlib.NumberTheory.ClassNumber.AdmissibleCardPowDegree Mathlib.NumberTheory.DirichletCharacter.Orthogonality Mathlib.NumberTheory.EulerProduct.ExpLog Mathlib.NumberTheory.Harmonic.Bounds Mathlib.NumberTheory.Harmonic.GammaDeriv Mathlib.NumberTheory.Height.EllipticCurve Mathlib.NumberTheory.Height.MvPolynomial Mathlib.NumberTheory.LSeries.AbstractFuncEq Mathlib.NumberTheory.LSeries.Basic Mathlib.NumberTheory.LSeries.Convergence Mathlib.NumberTheory.LSeries.Convolution Mathlib.NumberTheory.LSeries.Deriv Mathlib.NumberTheory.LSeries.Injectivity Mathlib.NumberTheory.LSeries.Linearity Mathlib.NumberTheory.LSeries.MellinEqDirichlet Mathlib.NumberTheory.LSeries.Positivity Mathlib.NumberTheory.LSeries.SumCoeff Mathlib.NumberTheory.LocalField.Basic Mathlib.NumberTheory.ModularForms.Basic Mathlib.NumberTheory.ModularForms.Bounds Mathlib.NumberTheory.ModularForms.EisensteinSeries.Basic Mathlib.NumberTheory.ModularForms.EisensteinSeries.IsBoundedAtImInfty Mathlib.NumberTheory.ModularForms.EisensteinSeries.MDifferentiable Mathlib.NumberTheory.ModularForms.EisensteinSeries.Summable Mathlib.NumberTheory.ModularForms.EisensteinSeries.UniformConvergence Mathlib.NumberTheory.ModularForms.LevelOne.Basic Mathlib.NumberTheory.ModularForms.LevelOne Mathlib.NumberTheory.ModularForms.NormTrace Mathlib.NumberTheory.ModularForms.Petersson Mathlib.NumberTheory.ModularForms.ProperlyDiscontinuous Mathlib.NumberTheory.ModularForms.QExpansion Mathlib.NumberTheory.Modular Mathlib.NumberTheory.MulChar.Duality Mathlib.NumberTheory.MulChar.Lemmas Mathlib.NumberTheory.Niven Mathlib.NumberTheory.Ostrowski Mathlib.NumberTheory.Padics.Complex Mathlib.NumberTheory.SiegelsLemma Mathlib.NumberTheory.SumPrimeReciprocals Mathlib.NumberTheory.Transcendental.Lindemann.AnalyticalPart Mathlib.NumberTheory.Transcendental.Liouville.Basic Mathlib.NumberTheory.Transcendental.Liouville.LiouvilleNumber Mathlib.NumberTheory.Transcendental.Liouville.LiouvilleWith Mathlib.NumberTheory.Transcendental.Liouville.Measure Mathlib.NumberTheory.Transcendental.Liouville.Residual Mathlib.NumberTheory.WellApproximable Mathlib.Probability.CDF Mathlib.Probability.Density Mathlib.Probability.Distributions.Bernoulli Mathlib.Probability.Distributions.Beta Mathlib.Probability.Distributions.Cauchy Mathlib.Probability.Distributions.Exponential Mathlib.Probability.Distributions.Fernique Mathlib.Probability.Distributions.Gamma Mathlib.Probability.Distributions.Geometric Mathlib.Probability.Distributions.Pareto Mathlib.Probability.Distributions.Uniform Mathlib.Probability.Independence.Integrable Mathlib.Probability.Independence.Process.HasIndepIncrements.Basic Mathlib.Probability.Independence.Process.HasIndepIncrements Mathlib.Probability.Kernel.Composition.IntegralCompProd Mathlib.Probability.Kernel.Composition.RadonNikodym Mathlib.Probability.Kernel.Disintegration.CDFToKernel Mathlib.Probability.Kernel.Disintegration.CondCDF Mathlib.Probability.Kernel.Integral Mathlib.Probability.Kernel.MeasurableIntegral Mathlib.Probability.Kernel.Representation Mathlib.Probability.Kernel.SetIntegral Mathlib.Probability.Kernel.WithDensity Mathlib.Probability.Moments.IntegrableExpMul Mathlib.Probability.ProbabilityMassFunction.Constructions Mathlib.Probability.ProbabilityMassFunction.Integrals Mathlib.RingTheory.Perfection Mathlib.RingTheory.Perfectoid.BDeRham Mathlib.RingTheory.Perfectoid.FontaineTheta Mathlib.RingTheory.Perfectoid.Untilt Mathlib.RingTheory.Polynomial.Hermite.Gaussian Mathlib.RingTheory.Polynomial.Selmer Mathlib.RingTheory.RootsOfUnity.Complex Mathlib.RingTheory.Teichmuller Mathlib.RingTheory.Valuation.Discrete.RankOne Mathlib.Tactic.NormNum.Irrational Mathlib.Topology.Algebra.Module.FiniteDimensionBilinear Mathlib.Topology.Algebra.Module.FiniteDimension Mathlib.Topology.Algebra.Module.TopDualPairing 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.MetricSpace.HausdorffDimension	-1
Mathlib.Combinatorics.Enumerative.Stirling	166

---

Declarations diff (regex)

+ descFactorial_mul_self
+ hasSum_descFactorial_mul_geometric_of_norm_lt_one
+ hasSum_descFactorial_mul_geometric_of_norm_lt_one'
+ hasSum_pow_mul_geometric_of_norm_lt_one
+ hasSum_pow_mul_geometric_of_norm_lt_one'
+ hasSum_sq_mul_geometric_of_norm_lt_one
+ hasSum_sq_mul_geometric_of_norm_lt_one'
+ pow_eq_sum_stirlingSecond_mul_descFactorial
+ tsum_descFactorial_mul_geometric_of_norm_lt_one
+ tsum_descFactorial_mul_geometric_of_norm_lt_one'
+ tsum_pow_mul_geometric_of_norm_lt_one
+ tsum_pow_mul_geometric_of_norm_lt_one'
+ tsum_sq_mul_geometric_of_norm_lt_one
+ tsum_sq_mul_geometric_of_norm_lt_one'

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 51c358cd99
Reference commit ed0d70fdcd

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).

[YaelDillies]

What's the general statement? Can we prove it?

Suggested change

	HasSum (fun n : ℕ ↦ (n : R) ^ 2 * x ^ n) (x * (1 + x) * ((1 - x)⁻¹ʳ) ^ 3) := by
	HasSum (fun n : ℕ ↦ (n : R) ^ k * x ^ n) (???) := by

[pepamontero]

At first I thought we couldn't with current Mathlib but maybe we can. Let me look into it

[Mal-Pat]

I think it can be done - I'm working on it.