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[Merged by Bors] - feat(CategoryTheory): localization of triangulated categories #11786

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@joelriou joelriou commented Mar 30, 2024

In this PR, it is shown that the localization of a triangulated category is not only pretriangulated but also triangulated (if the class of morphisms has both calculus of left and right fractions). Pretriangulated and triangulated instances are set on the categories W.Localization and W.Localization'.


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@joelriou joelriou added the t-category-theory Category theory label Mar 30, 2024
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@leanprover-community-mathlib4-bot leanprover-community-mathlib4-bot added the blocked-by-other-PR This PR depends on another PR to Mathlib label Mar 30, 2024
@joelriou joelriou changed the title feat(CategoryTheory): the localized category is triangulated feat(CategoryTheory): localization of triangulated categories Mar 30, 2024
@leanprover-community-mathlib4-bot leanprover-community-mathlib4-bot added the merge-conflict The PR has a merge conflict with master, and needs manual merging. label Apr 18, 2024
@leanprover-community-mathlib4-bot leanprover-community-mathlib4-bot added the blocked-by-other-PR This PR depends on another PR to Mathlib label Jun 6, 2024
@joelriou joelriou removed the awaiting-author A reviewer has asked the author a question or requested changes label Jun 6, 2024
@leanprover-community-mathlib4-bot leanprover-community-mathlib4-bot removed the blocked-by-other-PR This PR depends on another PR to Mathlib label Jun 6, 2024
@joelriou joelriou added awaiting-review The author would like community review of the PR awaiting-CI labels Jun 6, 2024
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erdOne commented Jun 6, 2024

Thanks!
maintainer merge

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🚀 Pull request has been placed on the maintainer queue by erdOne.

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Thanks 🎉

bors merge

@leanprover-community-mathlib4-bot leanprover-community-mathlib4-bot added ready-to-merge This PR has been sent to bors. and removed awaiting-review The author would like community review of the PR labels Jun 6, 2024
mathlib-bors bot pushed a commit that referenced this pull request Jun 6, 2024
In this PR, it is shown that the localization of a triangulated category is not only pretriangulated but also triangulated (if the class of morphisms has both calculus of left and right fractions). Pretriangulated and triangulated instances are set on the categories `W.Localization` and `W.Localization'`.



Co-authored-by: Joël Riou <37772949+joelriou@users.noreply.github.com>
Co-authored-by: Johan Commelin <johan@commelin.net>
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mathlib-bors bot commented Jun 6, 2024

Build failed (retrying...):

mathlib-bors bot pushed a commit that referenced this pull request Jun 6, 2024
In this PR, it is shown that the localization of a triangulated category is not only pretriangulated but also triangulated (if the class of morphisms has both calculus of left and right fractions). Pretriangulated and triangulated instances are set on the categories `W.Localization` and `W.Localization'`.



Co-authored-by: Joël Riou <37772949+joelriou@users.noreply.github.com>
Co-authored-by: Johan Commelin <johan@commelin.net>
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mathlib-bors bot commented Jun 6, 2024

Pull request successfully merged into master.

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@mathlib-bors mathlib-bors bot changed the title feat(CategoryTheory): localization of triangulated categories [Merged by Bors] - feat(CategoryTheory): localization of triangulated categories Jun 6, 2024
@mathlib-bors mathlib-bors bot closed this Jun 6, 2024
@mathlib-bors mathlib-bors bot deleted the localization-triangulated-2 branch June 6, 2024 15:10
grunweg pushed a commit that referenced this pull request Jun 7, 2024
In this PR, it is shown that the localization of a triangulated category is not only pretriangulated but also triangulated (if the class of morphisms has both calculus of left and right fractions). Pretriangulated and triangulated instances are set on the categories `W.Localization` and `W.Localization'`.



Co-authored-by: Joël Riou <37772949+joelriou@users.noreply.github.com>
Co-authored-by: Johan Commelin <johan@commelin.net>
AntoineChambert-Loir pushed a commit that referenced this pull request Jun 20, 2024
In this PR, it is shown that the localization of a triangulated category is not only pretriangulated but also triangulated (if the class of morphisms has both calculus of left and right fractions). Pretriangulated and triangulated instances are set on the categories `W.Localization` and `W.Localization'`.



Co-authored-by: Joël Riou <37772949+joelriou@users.noreply.github.com>
Co-authored-by: Johan Commelin <johan@commelin.net>
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