feat: multiplication by a regular function in D^n as a CLM (bilin version)

[luigi-massacci]

Preliminary lemma for multiplication of a classical distribution by a regular function. The structure is the same as for `TestFunction.fderiv´.

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• depends on: feat: multiplication by a regular function in D^n_{K} as CLM (bilinear form version) #41324

[github-actions]

PR summary e073ef0d33

Import changes for modified files

Dependency changes

File	Base Count	Head Count	Change
Mathlib.Analysis.Distribution.ContDiffMapSupportedIn	2395	2404	+9 (+0.38%)
Mathlib.Analysis.Distribution.TestFunction	2433	2440	+7 (+0.29%)

Import changes for all files

Files	Import difference
Mathlib.Analysis.Distribution.Distribution Mathlib.Analysis.Distribution.TestFunction	7
Mathlib.Analysis.Distribution.ContDiffMapSupportedIn	9

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Declarations diff (regex)

++ bilinLeftCLM
++ bilinLeftCLM_apply

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 e073ef0).

• +5 new declarations
• −0 removed declarations

+ContDiffMapSupportedIn.bilinLeftCLM
+ContDiffMapSupportedIn.bilinLeftCLM_apply
+ContDiffMapSupportedIn.mk.congr_simp
+TestFunction.bilinLeftCLM
+TestFunction.bilinLeftCLM_apply

---

No changes to strong technical debt.

No changes to weak technical debt.

Current commit e073ef0d33
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).

[mathlib-dependent-issues]

This PR/issue depends on:

• feat: multiplication by a regular function in D^n_{K} as CLM (bilinear form version) #41324
  By Dependent Issues (🤖). Happy coding!