feat(CategoryTheory/Monoidal/Grp_): a monoid object with invertible homs is a group object

[tb65536]

This PR constructs a group object from a monoid object with invertible homs.

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[github-actions]

PR summary e672f34210

Import changes for modified files

Dependency changes

File	Base Count	Head Count	Change
Mathlib.CategoryTheory.Monoidal.Grp_	671	672	+1 (+0.15%)

Import changes for all files

Files	Import difference
7 files Mathlib.CategoryTheory.Monoidal.Cartesian.CommGrp_ Mathlib.CategoryTheory.Monoidal.Cartesian.Grp_ Mathlib.CategoryTheory.Monoidal.Cartesian.Over Mathlib.CategoryTheory.Monoidal.CommGrp_ Mathlib.CategoryTheory.Monoidal.Grp_ Mathlib.CategoryTheory.Monoidal.Internal.Types.CommGrp_ Mathlib.CategoryTheory.Monoidal.Internal.Types.Grp_	1

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Declarations diff

+ invOf_eq_iff_left
+ invOf_eq_iff_right
+ ofInvertible

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.

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No changes to technical debt.

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).

[chrisflav]

Thanks!
maintainer merge

[github-actions]

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

[riccardobrasca]

Thanks!

bors d+

[mathlib-bors]

✌️ tb65536 can now approve this pull request. To approve and merge a pull request, simply reply with bors r+. More detailed instructions are available here.