[Merged by Bors] - chore(CategoryTheory/EssentiallySmall): lower priority of the Category (Shrink C) instance

[dennj]

Lower the priority of the induced Category (Shrink C) instance below Preorder.smallCategory, so a small preorder's Shrink gets its category structure from its preorder, with morphisms in Type w rather than Type v.

See #42925

[github-actions]

PR summary a63170f293

Import changes for modified files

No significant changes to the import graph

Import changes for all files

Files	Import difference

---

Declarations diff (regex)

+ instance (priority := 50) [Small.{w} C] : Category.{v} (Shrink.{w} C)
- instance [Small.{w} C] : Category.{v} (Shrink.{w} C)

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 a63170f).

• +0 new declarations
• −0 removed declarations

No declaration differences.

---

No changes to strong technical debt.

No changes to weak technical debt.

Current commit a63170f293
Reference commit dc30148764

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).

[YaelDillies]

This looks reasonable, but I need a category theorist to sign off.

maintainer merge?

[github-actions]

🚀 Pull request has been placed on the maintainer queue by YaelDillies.

[joelriou]

Thanks!

bors merge

[mathlib-bors]

Pull request successfully merged into master.

Build succeeded:

• ci (staging) / Build
• ci (staging) / Post-CI job
• ci (staging) / Test and lint
• ci (staging) / Post-Build Step
• ci (staging) / Lint style