feat(Algebra/ModuleCat): injective dimension in linear equiv

[Thmoas-Guan]

In this PR, we prove that injective dimension is stable under arbitrary (semi) linear equivalence.

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[github-actions]

PR summary 397e62b910

Import changes for modified files

No significant changes to the import graph

Import changes for all files

Files	Import difference
Mathlib.Algebra.Category.ModuleCat.InjectiveDimension (new file)	1944

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Declarations diff (regex)

+ hasInjectiveDimensionLE_iff_of_linearEquiv_aux
+ hasInjectiveDimensionLE_iff_of_semiLinearEquiv
+ hasInjectiveDimensionLE_iff_of_semiLinearEquiv_aux
+ injectiveDimension_eq_of_linearEquiv
+ injectiveDimension_eq_of_semiLinearEquiv

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 397e62b).

• +5 new declarations
• −0 removed declarations

+ModuleCat.hasInjectiveDimensionLE_iff_of_linearEquiv_aux
+ModuleCat.hasInjectiveDimensionLE_iff_of_semiLinearEquiv
+ModuleCat.hasInjectiveDimensionLE_iff_of_semiLinearEquiv_aux
+ModuleCat.injectiveDimension_eq_of_linearEquiv
+ModuleCat.injectiveDimension_eq_of_semiLinearEquiv

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Increase in strong tech debt: (relative, absolute) = (2.00, 0.00)

Current number	Change	Type (strong)
4158	2	backward.isDefEq.respectTransparency.types

No changes to weak technical debt.

Current commit 397e62b910
Reference commit abb22825db

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).