feat(Algebra/Category/ModuleCat/Presheaf): the endofunctor of presheaves of modules induced by an oplax natural transformation

[joelriou]

An endomorphism of ModuleCat.restrictScalarsPseudofunctor, i.e. a "compatible" family of functors ModuleCat R ⥤ ModuleCat R for all (commutative) rings R induces a functor PresheafOfModules R ⥤ PresheafOfModules R for any presheaf of (commutative) rings R. In particular, it should be possible to apply this to the exterior power functors in order to define the exterior powers of a presheaf of modules.

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• [ ] depends on: #18197

[github-actions[bot]]

PR summary ea011743fb

Import changes for modified files

No significant changes to the import graph

Import changes for all files

Files	Import difference
Mathlib.Algebra.Category.ModuleCat.Presheaf.FunctorOfNatTrans (new file)	1223

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Declarations diff

+ CommRingCat.forgetToRingCat_map + CommRingCat.moduleCatRestrictScalarsPseudofunctor_mapComp' + CommRingCat.moduleCatRestrictScalarsPseudofunctor_mapId' + functorOfOplaxNatTrans + functorOfOplaxNatTransObj + mapComp' + mapComp'_eq_mapComp + mapId' + mapId'_eq_mapId + naturality_comp' + naturality_id'

You can run this locally as follows

## summary with just the declaration names:
./scripts/declarations_diff.sh <optional_commit>

## more verbose report:
./scripts/declarations_diff.sh long <optional_commit>

The doc-module for script/declarations_diff.sh contains some details about this script.

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Increase in tech debt: (relative, absolute) = (1.05, 0.13)

Current number	Change	Type
845	6	erw
8	1	maxHeartBeats modifications

Current commit 61d8c488a0 Reference commit ea011743fb

You can run this locally as

./scripts/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).

[mathlib4-dependent-issues-bot]

This PR/issue depends on:

• ~~leanprover-community/mathlib4#18197~~ By Dependent Issues (🤖). Happy coding!

[kim-em]

I merged master to take a look at this, but it's now failing.

[mathlib4-merge-conflict-bot]

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