chore: deprecate Measure.Dirac

[EtienneC30]

Deprecate the file removed in #42322.

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• depends on: refactor: change the default value of Measure.map to a Dirac mass #42322

[github-actions]

PR summary 4d3aed0caf

Import changes exceeding 2%

%	File
+14.24%	Mathlib.Probability.Distributions.Uniform

Import changes for modified files

Dependency changes

File	Base Count	Head Count	Change
Mathlib.Probability.Distributions.Uniform	2437	2784	+347 (+14.24%)
Mathlib.MeasureTheory.Group.Defs	1528	1545	+17 (+1.11%)

Import changes for all files

Files	Import difference
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Mathlib.NumberTheory.NumberField.Completion.FinitePlace Mathlib.NumberTheory.NumberField.Completion.InfinitePlace Mathlib.NumberTheory.NumberField.Completion.LiesOverInstances Mathlib.NumberTheory.NumberField.Completion.Ramification 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.ExistsRamified 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.Transcendental.Lindemann.AnalyticalPart Mathlib.NumberTheory.Transcendental.Liouville.Measure Mathlib.NumberTheory.WellApproximable Mathlib.NumberTheory.ZetaValues Mathlib.Probability.BorelCantelli Mathlib.Probability.BrownianMotion.Basic Mathlib.Probability.BrownianMotion.GaussianProjectiveFamily Mathlib.Probability.CDF Mathlib.Probability.CentralLimitTheorem Mathlib.Probability.Combinatorics.BinomialRandomGraph.Defs Mathlib.Probability.CondVar Mathlib.Probability.ConditionalExpectation Mathlib.Probability.ConditionalProbability Mathlib.Probability.Decision.BayesEstimator Mathlib.Probability.Decision.Risk.Basic Mathlib.Probability.Decision.Risk.Countable Mathlib.Probability.Decision.Risk.Defs Mathlib.Probability.Density Mathlib.Probability.Distributions.Bernoulli Mathlib.Probability.Distributions.Beta Mathlib.Probability.Distributions.Binomial Mathlib.Probability.Distributions.Cauchy Mathlib.Probability.Distributions.Exponential Mathlib.Probability.Distributions.Fernique Mathlib.Probability.Distributions.Gamma 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.IsGaussianProcess.Independence Mathlib.Probability.Distributions.Gaussian.Multivariate Mathlib.Probability.Distributions.Gaussian.Real Mathlib.Probability.Distributions.Geometric Mathlib.Probability.Distributions.Pareto Mathlib.Probability.Distributions.Poisson.Basic Mathlib.Probability.Distributions.Poisson.PoissonLimitThm Mathlib.Probability.Distributions.SetBernoulli Mathlib.Probability.Distributions.TwoValued Mathlib.Probability.HasCondDistrib Mathlib.Probability.HasLawExists Mathlib.Probability.HasLaw Mathlib.Probability.IdentDistribIndep Mathlib.Probability.IdentDistrib Mathlib.Probability.Independence.Basic 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.Kernel.IndepFun Mathlib.Probability.Independence.Kernel.Indep Mathlib.Probability.Independence.Process.Basic Mathlib.Probability.Independence.Process.HasIndepIncrements.Basic Mathlib.Probability.Independence.Process.HasIndepIncrements.IsGaussianProcess Mathlib.Probability.Independence.Process.HasIndepIncrements Mathlib.Probability.Independence.ZeroOne Mathlib.Probability.Kernel.Basic Mathlib.Probability.Kernel.Category.SFinKer Mathlib.Probability.Kernel.Category.Stoch Mathlib.Probability.Kernel.CompProdEqIff Mathlib.Probability.Kernel.Composition.AbsolutelyContinuous Mathlib.Probability.Kernel.Composition.CompMap Mathlib.Probability.Kernel.Composition.CompNotation Mathlib.Probability.Kernel.Composition.CompProd Mathlib.Probability.Kernel.Composition.Comp Mathlib.Probability.Kernel.Composition.IntegralCompProd Mathlib.Probability.Kernel.Composition.KernelLemmas Mathlib.Probability.Kernel.Composition.Lemmas Mathlib.Probability.Kernel.Composition.MapComap Mathlib.Probability.Kernel.Composition.MeasureCompProd Mathlib.Probability.Kernel.Composition.MeasureComp Mathlib.Probability.Kernel.Composition.ParallelComp Mathlib.Probability.Kernel.Composition.Prod Mathlib.Probability.Kernel.Composition.RadonNikodym Mathlib.Probability.Kernel.CondDistrib Mathlib.Probability.Kernel.Condexp Mathlib.Probability.Kernel.Defs Mathlib.Probability.Kernel.Deterministic Mathlib.Probability.Kernel.Disintegration.Basic Mathlib.Probability.Kernel.Disintegration.CDFToKernel Mathlib.Probability.Kernel.Disintegration.CondCDF Mathlib.Probability.Kernel.Disintegration.Density Mathlib.Probability.Kernel.Disintegration.Integral Mathlib.Probability.Kernel.Disintegration.MeasurableStieltjes Mathlib.Probability.Kernel.Disintegration.StandardBorel Mathlib.Probability.Kernel.Disintegration.Unique Mathlib.Probability.Kernel.Integral Mathlib.Probability.Kernel.Invariance Mathlib.Probability.Kernel.IonescuTulcea.PartialTraj Mathlib.Probability.Kernel.IonescuTulcea.Traj Mathlib.Probability.Kernel.Irreducible Mathlib.Probability.Kernel.MeasurableIntegral Mathlib.Probability.Kernel.MeasurableLIntegral Mathlib.Probability.Kernel.Posterior Mathlib.Probability.Kernel.Proper Mathlib.Probability.Kernel.RadonNikodym Mathlib.Probability.Kernel.Representation 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.Basic Mathlib.Probability.ProbabilityMassFunction.Binomial Mathlib.Probability.ProbabilityMassFunction.Constructions Mathlib.Probability.ProbabilityMassFunction.Integrals Mathlib.Probability.ProbabilityMassFunction.Monad Mathlib.Probability.Process.Adapted Mathlib.Probability.Process.Filtration Mathlib.Probability.Process.FiniteDimensionalLaws Mathlib.Probability.Process.HittingTime Mathlib.Probability.Process.Kolmogorov Mathlib.Probability.Process.LocalProperty Mathlib.Probability.Process.PartitionFiltration Mathlib.Probability.Process.Predictable Mathlib.Probability.Process.Stopping Mathlib.Probability.ProductMeasure Mathlib.Probability.StrongLaw Mathlib.Probability.UniformOn Mathlib.RingTheory.Polynomial.Selmer Mathlib.Topology.Baire.BaireMeasurable Mathlib.Topology.EMetricSpace.PairReduction Mathlib.Topology.MetricSpace.HausdorffDimension	1
Mathlib.MeasureTheory.Measure.Dirac	2
Mathlib.MeasureTheory.Group.Defs	17
Mathlib.Probability.Distributions.Uniform	347
Mathlib.MeasureTheory.Measure.Dirac.Def (new file)	1523
Mathlib.MeasureTheory.Measure.Dirac.Basic (new file)	1549

---

Declarations diff (regex)

+ instance [Monoid G] [MeasurableConstSMul G G] (s : Submonoid G) [IsMulLeftInvariant μ] :
+ instance {f : α → β} : IsProbabilityMeasure (map f μ)
+ isFiniteMeasure_dirac
+ map_eq
+ map_of_not_aemeasurable_of_ne_zero
+ nonempty_of_not_aemeasurable
+-+- map
- HasGaussianLaw.aemeasurable
- Measure.isProbabilityMeasure_map
- _root_.AEMeasurable.of_map_ne_zero
- aemeasurable_of_map_neZero
- aemeasurable_of_pdf_ne_zero
- hasPDF_of_pdf_ne_zero
- instance (r : ℝ≥0) {R : Type*} [NatCast R] [MeasurableSpace R] :
- instance [Monoid G] (s : Submonoid G) [IsMulLeftInvariant μ] :
- isProbabilityMeasure_map_cast_binomial
- isProbabilityMeasure_map_up
- map_of_not_aemeasurable
- pdf_of_not_aemeasurable

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 4d3aed0).

• +9 new declarations
• −15 removed declarations

-AEMeasurable.of_map_ne_zero
-MeasureTheory.Measure.instIsFiniteMeasureOnCompactsProdVolume
+MeasureTheory.Measure.instIsFiniteMeasureOnCompactsProdVolumeOfSFinite
-MeasureTheory.Measure.instIsLocallyFiniteMeasureProdVolume
+MeasureTheory.Measure.instIsLocallyFiniteMeasureProdVolumeOfSFinite
-MeasureTheory.Measure.instSMulInvariantMeasureSubtypeMemSubmonoidOfIsMulLeftInvariant
+MeasureTheory.Measure.instSMulInvariantMeasureSubtypeMemSubmonoidOfMeasurableConstSMulOfIsMulLeftInvariant
-MeasureTheory.Measure.instVAddInvariantMeasureSubtypeMemAddSubmonoidOfIsAddLeftInvariant
+MeasureTheory.Measure.instVAddInvariantMeasureSubtypeMemAddSubmonoidOfMeasurableConstVAddOfIsAddLeftInvariant
-MeasureTheory.Measure.isProbabilityMeasure_map
-MeasureTheory.Measure.map_of_not_aemeasurable
+MeasureTheory.Measure.map_of_not_aemeasurable_of_ne_zero
-MeasureTheory.ProbabilityMeasure.map.congr_simp
-MeasureTheory.aemeasurable_of_pdf_ne_zero
-MeasureTheory.hasPDF_of_pdf_ne_zero
+MeasureTheory.instIsProbabilityMeasureMap
+MeasureTheory.isFiniteMeasure_dirac
-MeasureTheory.isProbabilityMeasure_map_up
+MeasureTheory.pdf.IsUniform.map_eq
-MeasureTheory.pdf_of_not_aemeasurable
+ProbabilityTheory.HasLaw.fun_id
-ProbabilityTheory.instIsProbabilityMeasureMapNatCastPoissonMeasure
-ProbabilityTheory.isProbabilityMeasure_map_cast_binomial
-aemeasurable_of_map_neZero

---

No changes to strong technical debt.

Increase in weak tech debt: (relative, absolute) = (1.00, 0.00)

Current number	Change	Type (weak)
4943	1	exposed public sections

Current commit 4d3aed0caf
Reference commit 364b383469

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).

[mathlib-dependent-issues]

This PR/issue depends on:

• refactor: change the default value of Measure.map to a Dirac mass #42322
  By Dependent Issues (🤖). Happy coding!