feat(MeasureTheory): add RCLike integrability equivalences for real-valued functions

[JJYYY-JJY]

Continues from #17176, I merged it into current main and implement with previous comments.

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[github-actions]

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[github-actions]

PR summary 47a2e26180

Import changes for modified files

No significant changes to the import graph

Import changes for all files

Files	Import difference

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Declarations diff (regex)

+ Integrable.iff_ofReal
+ IntegrableOn.iff_ofReal
+ IntegrableOn.im
+ IntegrableOn.ofReal
+ IntegrableOn.re
+ IntegrableOn.re_im_iff

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 47a2e26).

• +6 new declarations
• −0 removed declarations

+MeasureTheory.Integrable.iff_ofReal
+MeasureTheory.IntegrableOn.iff_ofReal
+MeasureTheory.IntegrableOn.im
+MeasureTheory.IntegrableOn.ofReal
+MeasureTheory.IntegrableOn.re
+MeasureTheory.IntegrableOn.re_im_iff

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No changes to strong technical debt.

No changes to weak technical debt.

Current commit 47a2e26180
Reference commit 375d54da29

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).

[github-actions]

✅ PR Title Formatted Correctly

The title of this PR has been updated to match our commit style conventions.
Thank you!