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[Merged by Bors] - feat(CategoryTheory): subobjects in Grothendieck abelian categories#21986

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[Merged by Bors] - feat(CategoryTheory): subobjects in Grothendieck abelian categories#21986
joelriou wants to merge 3 commits intomasterfrom
grothendieck-abelian-subobject

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@joelriou joelriou commented Feb 17, 2025 •
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We study the complete lattice of subjects of X : C when C is a Grothendieck abelian cateogry. In particular, for a functor F : J ⥤ MonoOver X from a filtered category, we relate the colimit of F (computed in C) and the supremum of the subobjects corresponding to the objects in the image of F.

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@joelriou joelriou added the t-category-theory Category theory label Feb 17, 2025
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github-actions bot commented Feb 17, 2025 •
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PR summary ae54752f1b

Import changes for modified files

No significant changes to the import graph

Import changes for all files
Files Import difference
Mathlib.CategoryTheory.Abelian.GrothendieckCategory.Subobject (new file) 1054

Declarations diff

+ MonoOver.subobjectMk_le_mk_of_hom
+ epi_iff_mk_eq_top
+ exists_isIso_of_functor_from_monoOver
+ mono_obj_hom
+ mono_of_isColimit_monoOver
+ subobject_mk_of_isColimit_eq_iSup

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.

No changes to technical debt.

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).

TwoFX
TwoFX approved these changes Feb 17, 2025
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Thanks!
bors d+

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mathlib-bors bot commented Feb 17, 2025

✌️ 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.

@ghost ghost added the delegated This pull request has been delegated to the PR author (or occasionally another non-maintainer). label Feb 17, 2025
@joelriou @TwoFX
Update Mathlib/CategoryTheory/Abelian/GrothendieckCategory/Subobject.…
ae54752 
…lean

Co-authored-by: Markus Himmel <markus@himmel-villmar.de>
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joelriou commented Feb 17, 2025

Thanks!

bors merge

@ghost ghost added the ready-to-merge This PR has been sent to bors. label Feb 17, 2025
mathlib-bors bot pushed a commit that referenced this pull request Feb 17, 2025
@joelriou
feat(CategoryTheory): subobjects in Grothendieck abelian categories (#…
ea862f9 
…21986)

We study the complete lattice of subjects of `X : C` when `C` is a Grothendieck abelian cateogry. In particular, for a functor `F : J ⥤ MonoOver X` from a filtered category, we relate the colimit of `F` (computed in `C`) and the supremum of the subobjects corresponding to the objects in the image of `F`.



Co-authored-by: Joël Riou <37772949+joelriou@users.noreply.github.com>
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mathlib-bors bot commented Feb 17, 2025

Pull request successfully merged into master.

Build succeeded:

@mathlib-bors mathlib-bors bot changed the title feat(CategoryTheory): subobjects in Grothendieck abelian categories [Merged by Bors] - feat(CategoryTheory): subobjects in Grothendieck abelian categories Feb 17, 2025
@mathlib-bors mathlib-bors bot closed this Feb 17, 2025
@mathlib-bors mathlib-bors bot deleted the grothendieck-abelian-subobject branch February 17, 2025 14:06
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