perf(RingTheory/Ideal/Quotient/Defs): clean up Ring instances again

[JovanGerb]

I think I didn't do the instances right last time, and this version should be faster.

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[github-actions]

PR summary 82df34056b

Import changes for modified files

No significant changes to the import graph

Import changes for all files

Files	Import difference

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Declarations diff

+ instance {R} [CommRing R] (I : Ideal R) : CommSemiring (R ⧸ I)
+ instance {R} [CommRing R] (I : Ideal R) : Semiring (R ⧸ I) := semiring I
- commSemiring

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.

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No changes to technical debt.

You can run this locally as

./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).

[JovanGerb]

!bench

[leanprover-radar]

Benchmark results for c360e74 against 82df340 are in. There are significant results. @JovanGerb

• 🟥 main exited with code 1

No significant changes detected.

[JovanGerb]

!bench

[leanprover-radar]

Benchmark results for aefc030 against 82df340 are in. No significant results found. @JovanGerb

• ✅ build//instructions: -822.1M (-0.00%)

Small changes (2✅)

• ✅ build/module/Mathlib.RingTheory.QuasiFinite.Polynomial//instructions: -785.1M (-1.87%)
• ✅ build/module/Mathlib.RingTheory.Smooth.NoetherianDescent//instructions: -3.3G (-3.49%)