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feat(MeasureTheory): basic lemmas for absolute continuity - #42992

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feat(MeasureTheory): basic lemmas for absolute continuity#42992
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deancureton:absolute-continuity-basics

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Adds congruence and reflexivity lemmas for AbsolutelyContinuousOnInterval. (see UniformContinuousOn.congr and IntervalIntegrable.refl)


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@github-actions github-actions Bot added the new-contributor This PR was made by a contributor with at most 5 merged PRs. Welcome to the community! label Aug 21, 2026
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Welcome new contributor!

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@github-actions github-actions Bot added the t-measure-probability Measure theory / Probability theory label Aug 21, 2026
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github-actions Bot commented Aug 21, 2026

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PR summary bf2c0faba3

Import changes for modified files

No significant changes to the import graph

Import changes for all files
Files Import difference

Declarations diff (regex)

+ congr
+ refl

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 bf2c0fa).

  • +2 new declarations
  • −0 removed declarations
+AbsolutelyContinuousOnInterval.congr
+AbsolutelyContinuousOnInterval.refl

No changes to strong technical debt.

No changes to weak technical debt.

Current commit bf2c0faba3
Reference commit adbcc71c7c

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).

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