Skip to content

[Merged by Bors] - feat(CategoryTheory): prerequisites for the existence of finite products in localized categories#9702

Closed
joelriou wants to merge 1 commit intomasterfrom
localization-hasfiniteproducts0
Closed

[Merged by Bors] - feat(CategoryTheory): prerequisites for the existence of finite products in localized categories#9702
joelriou wants to merge 1 commit intomasterfrom
localization-hasfiniteproducts0

Conversation

@joelriou
Copy link
Copy Markdown
Contributor

@joelriou joelriou commented Jan 12, 2024

This PR contains various prerequisites in order to show that under suitable assumptions, a localized category of a category that has finite products also has finite products:

  • the equivalence of categories (J → C) ≌ (Discrete J ⥤ C)
  • more API for the existence of limits as a consequence of a right adjoint to the constant functor C ⥤ (J ⥤ C).
  • the typeclass MorphismProperty.IsStableUnderFiniteProducts

The following PR is #9692.

Open in Gitpod

@joelriou joelriou added the t-category-theory Category theory label Jan 12, 2024
@joelriou joelriou added awaiting-review awaiting-CI This PR does not pass CI yet. This label is automatically removed once it does. labels Jan 12, 2024
@github-actions github-actions bot removed the awaiting-CI This PR does not pass CI yet. This label is automatically removed once it does. label Jan 12, 2024
Copy link
Copy Markdown
Member

@jcommelin jcommelin left a comment

Choose a reason for hiding this comment

The reason will be displayed to describe this comment to others. Learn more.

Thanks 🎉

bors merge

@ghost ghost added ready-to-merge This PR has been sent to bors. and removed awaiting-review labels Feb 8, 2024
mathlib-bors bot pushed a commit that referenced this pull request Feb 8, 2024
…cts in localized categories (#9702)

This PR contains various prerequisites in order to show that under suitable assumptions, a localized category of a category that has finite products also has finite products:
* the equivalence of categories `(J → C) ≌ (Discrete J ⥤ C)`
* more API for the existence of limits as a consequence of a right adjoint to the constant functor `C ⥤ (J ⥤ C)`.
* the typeclass `MorphismProperty.IsStableUnderFiniteProducts`
@mathlib-bors
Copy link
Copy Markdown
Contributor

mathlib-bors bot commented Feb 8, 2024

This PR was included in a batch that was canceled, it will be automatically retried

mathlib-bors bot pushed a commit that referenced this pull request Feb 8, 2024
…cts in localized categories (#9702)

This PR contains various prerequisites in order to show that under suitable assumptions, a localized category of a category that has finite products also has finite products:
* the equivalence of categories `(J → C) ≌ (Discrete J ⥤ C)`
* more API for the existence of limits as a consequence of a right adjoint to the constant functor `C ⥤ (J ⥤ C)`.
* the typeclass `MorphismProperty.IsStableUnderFiniteProducts`
@mathlib-bors
Copy link
Copy Markdown
Contributor

mathlib-bors bot commented Feb 8, 2024

Pull request successfully merged into master.

Build succeeded:

@mathlib-bors mathlib-bors bot changed the title feat(CategoryTheory): prerequisites for the existence of finite products in localized categories [Merged by Bors] - feat(CategoryTheory): prerequisites for the existence of finite products in localized categories Feb 8, 2024
@mathlib-bors mathlib-bors bot closed this Feb 8, 2024
@mathlib-bors mathlib-bors bot deleted the localization-hasfiniteproducts0 branch February 8, 2024 17:18
atarnoam pushed a commit that referenced this pull request Feb 9, 2024
…cts in localized categories (#9702)

This PR contains various prerequisites in order to show that under suitable assumptions, a localized category of a category that has finite products also has finite products:
* the equivalence of categories `(J → C) ≌ (Discrete J ⥤ C)`
* more API for the existence of limits as a consequence of a right adjoint to the constant functor `C ⥤ (J ⥤ C)`.
* the typeclass `MorphismProperty.IsStableUnderFiniteProducts`
dagurtomas pushed a commit that referenced this pull request Mar 22, 2024
…cts in localized categories (#9702)

This PR contains various prerequisites in order to show that under suitable assumptions, a localized category of a category that has finite products also has finite products:
* the equivalence of categories `(J → C) ≌ (Discrete J ⥤ C)`
* more API for the existence of limits as a consequence of a right adjoint to the constant functor `C ⥤ (J ⥤ C)`.
* the typeclass `MorphismProperty.IsStableUnderFiniteProducts`
Sign up for free to join this conversation on GitHub. Already have an account? Sign in to comment

Labels

ready-to-merge This PR has been sent to bors. t-category-theory Category theory

Projects

None yet

Development

Successfully merging this pull request may close these issues.

2 participants