feat(Algebra/Category/ModuleCat/Presheaf): presheaves of modules are generated by their sections

[joelriou]

We provide a presentation of any presheaf of modules involving coproducts of free presheaves of modules generated by Yoneda presheaves of types.

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• [x] depends on: #18159

[github-actions[bot]]

PR summary ca1a155f7f

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.Generator	1305

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Declarations diff

+ Elements + elementsMk + freeYonedaCoproduct + freeYonedaCoproductMk + freeYonedaCoproductsCokernelCofork + freeYonedaEquiv + freeYonedaEquiv_comp + freeYonedaEquiv_symm_app + fromFreeYoneda + fromFreeYonedaCoproduct + fromFreeYonedaCoproduct_app_mk + fromFreeYoneda_app_apply + instance : Epi M.fromFreeYonedaCoproduct + instance : Small.{u} (freeYoneda R) := by + isColimitFreeYonedaCoproductsCokernelCofork + isDetecting + isSeparating + toFreeYonedaCoproduct + toFreeYonedaCoproduct_fromFreeYonedaCoproduct + wellPowered + ιFreeYonedaCoproduct + ι_fromFreeYonedaCoproduct + ι_fromFreeYonedaCoproduct_apply ++ freeYoneda

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: 1.00

Current number	Change	Type
1555	1	erw

Current commit ca1a155f7f Reference commit 23ecdee3fc

You can run this locally as

./scripts/technical-debt-metrics.sh pr_summary

[mathlib4-dependent-issues-bot]

This PR/issue depends on:

• ~~leanprover-community/mathlib4#18159~~ By Dependent Issues (🤖). Happy coding!

[mathlib-bors[bot]]

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

[joelriou]

Thanks!

bors merge

[mathlib-bors[bot]]

Pull request successfully merged into master.

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