feat: dsupport lemmas for smul on classical distributions

[luigi-massacci]

Added classical lemmas about the support of g*T for T a classical distribution and g a regular function.

---

• depends on: feat: add ContinuousConstSMul instance to TestFunction #42530
• depends on: feat: scalar multiplication as a CLM on D^n #41531
• depends on: feat: multiplication by a regular function in D^n as a CLM (bilin version) #41485
• depends on: [Merged by Bors] - feat: multiplication by a regular function in D^n_{K} as CLM (bilinear form version) #41324

[github-actions]

PR summary 984e1e28bf

Import changes for modified files

No significant changes to the import graph

Import changes for all files

Files	Import difference

---

Declarations diff (regex)

+ bilinLeftCLM
+ bilinLeftCLM_apply
+ dsupport_smulLeftCLM_left
+ dsupport_smulLeftCLM_right
+ instance : ContinuousConstSMul 𝕜 𝓓^{n}(Ω, F)
+ smulLeftCLM_apply
+ tsupport_smulLeftCLM_left
+ tsupport_smulLeftCLM_right
++ smulLeftCLM_add
++ smulLeftCLM_apply_apply
++ smulLeftCLM_compL_smulLeftCLM
++ smulLeftCLM_const
++ smulLeftCLM_neg
++ smulLeftCLM_smul
++ smulLeftCLM_smulLeftCLM_apply
++ smulLeftCLM_sub
+++ smulLeftCLM
- instance : LineDeriv E 𝓓(Ω, F) 𝓓(Ω, F)

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 984e1e2).

• +27 new declarations
• −1 removed declarations

+Distribution.dsupport_smulLeftCLM_left
+Distribution.dsupport_smulLeftCLM_right
-Distribution.dsupport_smulLeftCLM_subset
+Distribution.smulLeftCLM
+Distribution.smulLeftCLM_add
+Distribution.smulLeftCLM_apply_apply
+Distribution.smulLeftCLM_compL_smulLeftCLM
+Distribution.smulLeftCLM_const
+Distribution.smulLeftCLM_neg
+Distribution.smulLeftCLM_smul
+Distribution.smulLeftCLM_smulLeftCLM_apply
+Distribution.smulLeftCLM_sub
+TestFunction.bilinLeftCLM
+TestFunction.bilinLeftCLM.congr_simp
+TestFunction.bilinLeftCLM_apply
+TestFunction.instContinuousConstSMul
+TestFunction.smulLeftCLM
+TestFunction.smulLeftCLM_add
+TestFunction.smulLeftCLM_apply
+TestFunction.smulLeftCLM_apply_apply
+TestFunction.smulLeftCLM_compL_smulLeftCLM
+TestFunction.smulLeftCLM_const
+TestFunction.smulLeftCLM_neg
+TestFunction.smulLeftCLM_smul
+TestFunction.smulLeftCLM_smulLeftCLM_apply
+TestFunction.smulLeftCLM_sub
+TestFunction.tsupport_smulLeftCLM_left
+TestFunction.tsupport_smulLeftCLM_right

---

No changes to strong technical debt.

No changes to weak technical debt.

Current commit 984e1e28bf
Reference commit e506e4611d

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: add ContinuousConstSMul instance to TestFunction #42530
• feat: scalar multiplication as a CLM on D^n #41531
• feat: multiplication by a regular function in D^n as a CLM (bilin version) #41485
• [Merged by Bors] - feat: multiplication by a regular function in D^n_{K} as CLM (bilinear form version) #41324
  By Dependent Issues (🤖). Happy coding!