[Merged by Bors] - refactor(Analysis): golf Mathlib/Analysis/Analytic/IteratedFDeriv

[yuanyi-350]

• simplifies the surjectivity step in ContinuousMultilinearMap.iteratedFDeriv_comp_diagonal by using σ.equivOfFiniteSelfEmbedding.surjective
• shortens the concluding simp step by folding g into the final simplification call

Extracted from #37968

[github-actions]

PR summary 1c558eb49a

Import changes for modified files

No significant changes to the import graph

Import changes for all files

Files	Import difference

---

Declarations diff

No declarations were harmed in the making of this PR! 🐙

You can run this locally as follows

## summary with just the declaration names:
./scripts/pr_summary/declarations_diff.sh <optional_commit>

## more verbose report:
./scripts/pr_summary/declarations_diff.sh long <optional_commit>

The doc-module for scripts/pr_summary/declarations_diff.sh contains some details about this script.

---

No changes to technical debt.

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).

[yuanyi-350]

I ran a profiler comparison for the changed declarations in this PR.

Results (seconds):

• ContinuousMultilinearMap.iteratedFDeriv_comp_diagonal: 0.128287 -> 0.283595 (+121.1%)

Overall:

• The changed declaration became slower in this run.

[grunweg]

I think the slow-down is acceptable, in this particular case, in return for the much nicer proof. Thanks!
bors merge

[mathlib-bors]

Pull request successfully merged into master.

Build succeeded:

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