feat: indepence lemma

[EtienneC30]

---

[github-actions]

PR summary fb03e301f0

Import changes for modified files

Dependency changes

File	Base Count	Head Count	Change
Mathlib.Probability.Independence.Kernel.IndepFun	1844	1845	+1 (+0.05%)

Import changes for all files

Files

Import difference

43 files Mathlib.MeasureTheory.Function.ConvergenceInDistribution Mathlib.MeasureTheory.Measure.LevyConvergence Mathlib.Probability.CentralLimitTheorem Mathlib.Probability.CondVar Mathlib.Probability.ConditionalExpectation Mathlib.Probability.CramerWold Mathlib.Probability.Density Mathlib.Probability.Distributions.Bernoulli Mathlib.Probability.Distributions.Gaussian.Basic Mathlib.Probability.Distributions.Gaussian.CharFun Mathlib.Probability.Distributions.Gaussian.Fernique Mathlib.Probability.Distributions.Gaussian.HasGaussianLaw.Basic Mathlib.Probability.Distributions.Gaussian.HasGaussianLaw.Def Mathlib.Probability.Distributions.Gaussian.HasGaussianLaw.Independence Mathlib.Probability.Distributions.Gaussian.IsGaussianProcess.Basic Mathlib.Probability.Distributions.Gaussian.IsGaussianProcess.Def Mathlib.Probability.Distributions.Gaussian.Multivariate Mathlib.Probability.Distributions.Gaussian.Real Mathlib.Probability.Distributions.Poisson.Basic Mathlib.Probability.Distributions.TwoValued Mathlib.Probability.Distributions.Uniform Mathlib.Probability.HasCondDistrib Mathlib.Probability.HasLaw Mathlib.Probability.IdentDistrib Mathlib.Probability.Independence.Basic Mathlib.Probability.Independence.CharacteristicFunction Mathlib.Probability.Independence.Integrable Mathlib.Probability.Independence.Integration Mathlib.Probability.Independence.Kernel.IndepFun Mathlib.Probability.Independence.Process.HasIndepIncrements.Basic Mathlib.Probability.Independence.Process.HasIndepIncrements.IsGaussianProcess Mathlib.Probability.Independence.Process.HasIndepIncrements Mathlib.Probability.Moments.Basic Mathlib.Probability.Moments.ComplexMGF Mathlib.Probability.Moments.CovarianceBilinDual Mathlib.Probability.Moments.CovarianceBilin Mathlib.Probability.Moments.Covariance Mathlib.Probability.Moments.MGFAnalytic Mathlib.Probability.Moments.Tilted Mathlib.Probability.Moments.Variance Mathlib.Probability.ProbabilityMassFunction.Constructions Mathlib.Probability.ProbabilityMassFunction.Integrals Mathlib.Probability.StrongLaw

1

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Declarations diff (regex)

+ disjoint_coe_iff
+ iIndepFun.indepFun_set

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)

✅ Lean-aware diff — post-build, computed from the Lean environment (commit fb03e30).

• +2 new declarations
• −0 removed declarations

+Finset.disjoint_coe_iff
+ProbabilityTheory.Kernel.iIndepFun.indepFun_set

---

No changes to strong technical debt.
No changes to weak technical debt.

Current commit fb03e301f0
Reference commit 5bc1283b23

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.py 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).