feat(CategoryTheory): StructuredArrow.congr

[joelriou]

The PR also removes a lot of set_option in the StructuredArrow files by making more definitions implicit_reducible.

---

This does not depend on #40940, but it would be easier to proceed with that to_dual PR first.
Because of #42816, it is now unclear whether I will need this.

• depends on: feat(CategoryTheory/Comma/StructuredArrow): use to_dual #40940

[github-actions]

PR summary 6df16cbca1

Import changes for modified files

No significant changes to the import graph

Import changes for all files

Files	Import difference

---

Declarations diff (regex)

++ congr
++ ι

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 6df16cb).

• +31 new declarations
• −5 removed declarations

+CategoryTheory.Comma.costructuredArrowSndInclusion_obj
-CategoryTheory.Comma.costructuredArrowSndInclusion_obj_hom
-CategoryTheory.Comma.costructuredArrowSndInclusion_obj_left_hom
-CategoryTheory.Comma.costructuredArrowSndInclusion_obj_left_left
-CategoryTheory.Comma.costructuredArrowSndInclusion_obj_left_right
-CategoryTheory.Comma.costructuredArrowSndInclusion_obj_right_as
+CategoryTheory.CostructuredArrow.congr
+CategoryTheory.CostructuredArrow.congr_counitIso
+CategoryTheory.CostructuredArrow.congr_functor
+CategoryTheory.CostructuredArrow.congr_inverse
+CategoryTheory.CostructuredArrow.congr_unitIso
+CategoryTheory.CostructuredArrow.map₂Congr.congr_simp
+CategoryTheory.CostructuredArrow.map₂IsoPreEquivalenceInverseCompProj_hom_app_left
+CategoryTheory.CostructuredArrow.map₂IsoPreEquivalenceInverseCompProj_inv_app_left
+CategoryTheory.CostructuredArrow.ι
+CategoryTheory.CostructuredArrow.ι_app
+CategoryTheory.StructuredArrow.commaMapEquivalence_counitIso
+CategoryTheory.StructuredArrow.commaMapEquivalence_functor
+CategoryTheory.StructuredArrow.commaMapEquivalence_inverse
+CategoryTheory.StructuredArrow.commaMapEquivalence_unitIso
+CategoryTheory.StructuredArrow.congr
+CategoryTheory.StructuredArrow.congr_counitIso
+CategoryTheory.StructuredArrow.congr_functor
+CategoryTheory.StructuredArrow.congr_inverse
+CategoryTheory.StructuredArrow.congr_unitIso
+CategoryTheory.StructuredArrow.map₂Congr.congr_simp
+CategoryTheory.StructuredArrow.ι
+CategoryTheory.StructuredArrow.ι_app
+CategoryTheory.costructuredArrowOpEquivalence_counitIso
+CategoryTheory.costructuredArrowOpEquivalence_functor
+CategoryTheory.costructuredArrowOpEquivalence_inverse
+CategoryTheory.costructuredArrowOpEquivalence_unitIso
+CategoryTheory.structuredArrowOpEquivalence_counitIso
+CategoryTheory.structuredArrowOpEquivalence_functor
+CategoryTheory.structuredArrowOpEquivalence_inverse
+CategoryTheory.structuredArrowOpEquivalence_unitIso

---

Decrease in strong tech debt: (relative, absolute) = (10.17, 0.03)

Current number	Change	Type (strong)
385	-2	adaptation notes
4292	-61	backward.defeqAttrib.useBackward
3932	-47	backward.isDefEq.respectTransparency.types

No changes to weak technical debt.

Current commit 6df16cbca1
Reference commit e76467f1ca

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).

[mathlib-dependent-issues]

This PR/issue depends on:

• feat(CategoryTheory/Comma/StructuredArrow): use to_dual #40940
  By Dependent Issues (🤖). Happy coding!

[mathlib-merge-conflicts]

This pull request has conflicts, please merge master and resolve them.