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[Merged by Bors] - feat(CategoryTheory): localization of product categories#8864

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joelriou wants to merge 11 commits intomasterfrom
localization-pi
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[Merged by Bors] - feat(CategoryTheory): localization of product categories#8864
joelriou wants to merge 11 commits intomasterfrom
localization-pi

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@joelriou joelriou commented Dec 7, 2023

The product of finitely many localized categories is the localized category of the product category, provided the classes of morphisms contain identities.


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@joelriou joelriou added the t-category-theory Category theory label Dec 7, 2023
@ghost ghost added the blocked-by-other-PR This PR depends on another PR (this label is automatically managed by a bot) label Dec 7, 2023
mathlib-bors bot pushed a commit that referenced this pull request Dec 7, 2023
This PR develops notions about product categories (natural isomorphisms, equivalences) in order to fill the prerequisites of PR #8864 about the localization of product categories.
@ghost ghost removed the blocked-by-other-PR This PR depends on another PR (this label is automatically managed by a bot) label Dec 7, 2023
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ghost commented Dec 7, 2023

This PR/issue depends on:

awueth pushed a commit that referenced this pull request Dec 19, 2023
This PR develops notions about product categories (natural isomorphisms, equivalences) in order to fill the prerequisites of PR #8864 about the localization of product categories.
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Thanks 🎉

bors merge

@ghost ghost added ready-to-merge This PR has been sent to bors. and removed awaiting-review labels Dec 27, 2023
mathlib-bors bot pushed a commit that referenced this pull request Dec 27, 2023
The product of finitely many localized categories is the localized category of the product category, provided the classes of morphisms contain identities.
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mathlib-bors bot commented Dec 27, 2023

Pull request successfully merged into master.

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@mathlib-bors mathlib-bors bot changed the title feat(CategoryTheory): localization of product categories [Merged by Bors] - feat(CategoryTheory): localization of product categories Dec 27, 2023
@mathlib-bors mathlib-bors bot closed this Dec 27, 2023
@mathlib-bors mathlib-bors bot deleted the localization-pi branch December 27, 2023 06:35
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