refactor: make several definitions take concrete morphism classes

[grunweg]

Specifically, this PR changes NonUnitalSubring.{map,comap,equivMapOfInjective} as well as NonUnitalSubsemiring.{map,comap,srangeRestrict,sofLeftInverse'},
and adapts all theorems about them to take in a concrete morphism also.

Since this removes all uses of a bundled morphism class, we also remove the assocated variable lines
and align them with standard mathlib style.

This follows the general patterns established in #31365:

we should restrict definitions to explicit morphisms, instead of morphism classes in order to avoid proliferating definitions.
Given a definition Bar that takes FooHom as an argument, a theorem whose statement involves Bar should only ever be written for FooHoms and never FooHomClasses. Indeed in the latter case, the statement would require the coercion from the morphism class to the morphism, thereby making it less general.

---

• depends on: [Merged by Bors] - refactor: make several NonUnitalAlgHom definitions take a particular algebra homomorphism #43579

Found by the linter in #43405.

[github-actions]

PR summary d1b1b6fdd8

Import changes for modified files

No significant changes to the import graph

Import changes for all files

Files	Import difference

---

Declarations diff (regex)

++-- map_center_eq
+--+ comap_center_le_center
+--+ map_center_le_center
-+-+ coe_comap
-+-+ comap
-+-+ comap_inf
-+-+ map
-+-+ map_inf
-+-+ map_sup
-+-+ mem_comap
--++ coe_equivMapOfInjective_apply
--++ coe_map
--++ comap_iInf
--++ equivMapOfInjective
--++ gc_map_comap
--++ map_iInf
--++ map_iSup
--++ map_le_iff_le_comap
--++ mem_map

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 b0ea9ac).

• +0 new declarations
• −8 removed declarations

-NonUnitalAlgHom.equalizer.congr_simp
-NonUnitalAlgHom.range.congr_simp
-NonUnitalRingHom.srange.congr_simp
-NonUnitalSubalgebra.map.congr_simp
-NonUnitalSubring.comap.congr_simp
-NonUnitalSubring.map.congr_simp
-NonUnitalSubsemiring.comap.congr_simp
-NonUnitalSubsemiring.map.congr_simp

---

No changes to strong technical debt.
No changes to weak technical debt.

Current commit d1b1b6fdd8
Reference commit d83c546b24

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.py 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] - refactor: make several NonUnitalAlgHom definitions take a particular algebra homomorphism #43579
  By Dependent Issues (🤖). Happy coding!