perf: no expose SplittingField

[Komyyy]

---

[github-actions]

PR summary 84b136b1b1

Import changes for modified files

No significant changes to the import graph

Import changes for all files

Files	Import difference

---

Declarations diff

+ algebraCast
+ div
+ instAlgebraAux
+ instAlgebraZModAux
+ instCommRingAux
+ instFieldAux
+ instance (f : K[X]) : CommRing (SplittingField f)
+ instance (f : K[X]) : Inhabited (SplittingField f)
+ instance (f : K[X]) : Nontrivial (SplittingField f)
+ instance (p : ℕ) [Fact p.Prime] (n : ℕ) : Algebra (ZMod p) (GaloisField p n)
+ instance (p : ℕ) [Fact p.Prime] (n : ℕ) : Field (GaloisField p n)
+ instance : CharP (GaloisField p n) p
+ instance : Finite (GaloisField p n)
+ instance : FiniteDimensional (ZMod p) (GaloisField p n)
+ instance : Inhabited (GaloisField p n)
+ instance : IsSplittingField (ZMod p) (GaloisField p n) (X ^ p ^ n - X)
+ intCast
+ natCast
+ nnqsmul
+ nnratCast
+ nsmul
+ qsmul
+ ratCast
+ smul
+ zmodCast
+ zmodsmul
+ zpow
+ zsmul
++ add
++ instance (R : Type*) (f : K[X]) [CommSemiring R] [Algebra R K] :
++ inv
++ mul
++ neg
++ npow
++ one
++ sub
++ zero
- fact_irreducible_factor
- succ

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.

---

Decrease in tech debt: (relative, absolute) = (1.48, 0.01)

Current number	Change	Type
451	-1	porting notes
631	-2	erw
6894	-3	backward.isDefEq.respectTransparency

Current commit c67b560dd6
Reference commit 84b136b1b1

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).

[Komyyy]

!radar

[leanprover-radar]

Benchmark results for dc015c6 against 84b136b are in. There are no significant changes. @Komyyy

• 🟥 build//instructions: +28.8G (+0.02%)

Small changes (1✅, 2🟥)

• ✅ build/module/Mathlib.FieldTheory.PolynomialGaloisGroup//instructions: -1.5G (-4.85%)
• 🟥 build/module/Mathlib.FieldTheory.SplittingField.Construction//instructions: +6.4G (+20.19%) (reduced significance based on *//lines)
• 🟥 build/module/Mathlib.Lean.PrettyPrinter.Delaborator//instructions: +383.4M (+12.24%)

[mathlib-bors]

This pull request is now in draft mode. No active bors state needed cleanup.

While this PR remains draft, bors will ignore commands on this PR. Mark it ready for review before using commands like bors r+ or bors try.