feat(FDeriv/Comp): migrate to TVS

[urkud]

---

• depends on: [Merged by Bors] - chore(Calculus/FDeriv): review asymptotics lemmas #34832

[github-actions]

PR summary b7a1849720

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/declarations_diff.sh <optional_commit>

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

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

---

No changes to technical debt.

You can run this locally as

./scripts/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:

• [Merged by Bors] - chore(Calculus/FDeriv): review asymptotics lemmas #34832
  By Dependent Issues (🤖). Happy coding!

[urkud]

!bench

[leanprover-radar]

Benchmark results for e9eab3e against b7a1849 are in! @urkud

• 🟥 build//instructions: +59.2G (+0.03%)

Large changes (1✅)

• ✅ build/module/Mathlib.Analysis.Calculus.FDeriv.ContinuousAlternatingMap//instructions: -51.1G (-31.43%)

Medium changes (4🟥)

• 🟥 build/module/Mathlib.Analysis.Calculus.ContDiff.RestrictScalars//instructions: +1.7G (+7.01%)
• 🟥 build/module/Mathlib.Analysis.Calculus.Deriv.Abs//instructions: +2.6G (+9.55%)
• 🟥 build/module/Mathlib.Analysis.Calculus.FDeriv.ContinuousMultilinearMap//instructions: +10.2G (+8.73%)
• 🟥 build/module/Mathlib.Analysis.Calculus.FDeriv.WithLp//instructions: +1.6G (+8.35%)

Small changes (1✅, 15🟥)

• 🟥 build/module/Mathlib.Analysis.Calculus.ContDiff.Basic//instructions: +6.4G (+6.14%)
• 🟥 build/module/Mathlib.Analysis.Calculus.ContDiff.Convolution//instructions: +2.1G (+1.99%)
• 🟥 build/module/Mathlib.Analysis.Calculus.ContDiff.Operations//instructions: +4.3G (+2.66%)
• 🟥 build/module/Mathlib.Analysis.Calculus.DifferentialForm.Basic//instructions: +1.2G (+2.37%)
• 🟥 build/module/Mathlib.Analysis.Calculus.FDeriv.Analytic//instructions: +6.8G (+3.30%)
• 🟥 build/module/Mathlib.Analysis.Calculus.FDeriv.Comp//instructions: +12.2G (+36.20%) (reduced significance based on *//lines)
• 🟥 build/module/Mathlib.Analysis.Calculus.FDeriv.CompCLM//instructions: +7.6G (+5.99%)
• 🟥 build/module/Mathlib.Analysis.Calculus.FDeriv.Equiv//instructions: +4.2G (+4.80%)
• 🟥 build/module/Mathlib.Analysis.Calculus.FDeriv.Mul//instructions: +5.5G (+2.60%)
• 🟥 build/module/Mathlib.Analysis.Calculus.FDeriv.Pi//instructions: +581.1M (+4.98%)
• 🟥 build/module/Mathlib.Analysis.Calculus.FDeriv.Prod//instructions: +6.7G (+6.28%)
• 🟥 build/module/Mathlib.Analysis.Complex.Harmonic.Analytic//instructions: +641.8M (+2.36%)
• 🟥 build/module/Mathlib.Analysis.Complex.Schwarz//instructions: +1.3G (+4.18%)
• 🟥 build/module/Mathlib.Analysis.InnerProductSpace.Calculus//instructions: +3.4G (+5.51%)
• 🟥 build/module/Mathlib.Geometry.Manifold.ContMDiffMFDeriv//instructions: +1.7G (+3.02%)
• ✅ build/module/Mathlib.RingTheory.Complex//instructions: -343.9M (-3.99%)

[urkud]

@eric-wieser This looks like a larger slowdown. Any ideas on how can we speed it up?

[eric-wieser]

Generalizing many downstream files too would help with that performance loss; perhaps you should start stacking PRs for the sake of benchmarking a slightly-more-complete refactor?

[eric-wieser]

Does this change do anything?

[urkud]

Yes, Lean falls to unify the expression without this. Should I add a TODO?

[eric-wieser]

Does ( :) also work?

[urkud]

I haven't tried yet. BTW, the ( :)s I removed stopped working.