chore(Analysis/Normed/Operator/ContinuousAlgEquiv): generalize theorem to TVS

[themathqueen]

---

• depends on: feat(Topology/Algebra/Module/Spaces/CLM): linear map version of apply #43112
• depends on: feat(Topology/Algebra/Module/Spaces/CLM): linear map version of smulRightL #43113

[github-actions]

PR summary 7113c78653

Import changes for modified files

No significant changes to the import graph

Import changes for all files

Files	Import difference

---

Declarations diff (regex)

+ _root_.ContinuousLinearMap.applyₗ
+ _root_.ContinuousLinearMap.applyₗ'
+ smulRightₗ'
+ smulRightₗ'_apply_apply
+ toLinearMap_apply
+ toLinearMap_apply'
+ toLinearMap_smulRightL
+ toLinearMap_smulRightₗ'_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 7113c78).

• +13 new declarations
• −1 removed declarations

-ContinuousLinearMap.apply'.congr_simp
+ContinuousLinearMap.applyₗ
+ContinuousLinearMap.applyₗ'
+ContinuousLinearMap.applyₗ'_apply_apply
+ContinuousLinearMap.applyₗ.congr_simp
+ContinuousLinearMap.applyₗ_apply_apply
+ContinuousLinearMap.precomp.congr_simp
+ContinuousLinearMap.smulRightₗ'
+ContinuousLinearMap.smulRightₗ'_apply_apply
+ContinuousLinearMap.smulRightₗ'_apply_apply_apply
+ContinuousLinearMap.toLinearMap_apply
+ContinuousLinearMap.toLinearMap_apply'
+ContinuousLinearMap.toLinearMap_smulRightL
+ContinuousLinearMap.toLinearMap_smulRightₗ'_apply

---

Decrease in strong tech debt: (relative, absolute) = (1.00, 0.00)

Current number	Change	Type (strong)
backward.isDefEq.respectTransparency.types	2506	-1

No changes to weak technical debt.

Current commit 7113c78653
Reference commit 119110c22e

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.py 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(Topology/Algebra/Module/Spaces/CLM): linear map version of apply #43112
• feat(Topology/Algebra/Module/Spaces/CLM): linear map version of smulRightL #43113
  By Dependent Issues (🤖). Happy coding!