feat(Analysis): use IsApply for TestFunction

[mcdoll]

---

[github-actions]

PR summary 7268005d41

Import changes for modified files

No significant changes to the import graph

Import changes for all files

Files	Import difference

---

Declarations diff (regex)

+ coeFnAddMonoidHom_apply
+ coe_add
+ coe_neg
+ coe_sub
+ coe_zero
+ instance : AddCommGroup 𝓓^{n}(Ω, F) := fast_instance% FunLike.addCommGroup
+ instance : IsAddApply 𝓓^{n}(Ω, F) E F
+ instance : IsNegApply 𝓓^{n}(Ω, F) E F
+ instance : IsSubApply 𝓓^{n}(Ω, F) E F
+ instance : IsZeroApply 𝓓^{n}(Ω, F) E F
+ instance {R} [Semiring R] [Module R F] [SMulCommClass ℝ R F] [ContinuousConstSMul R F] :
- instance : AddCommGroup 𝓓^{n}(Ω, F) := fast_instance%

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 7268005).

• +5 new declarations
• −1 removed declarations

-TestFunction.coe_smul
+TestFunction.instIsAddApply
+TestFunction.instIsNegApply
+TestFunction.instIsSMulApply
+TestFunction.instIsSubApply
+TestFunction.instIsZeroApply

---

No changes to strong technical debt.

No changes to weak technical debt.

Current commit 7268005d41
Reference commit 77760d482b

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).