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[Merged by Bors] - feat(CategoryTheory): transport Kan extensions via equivalences#12785

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joelriou wants to merge 6 commits intomasterfrom
functor-kan-extension-equivalences
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[Merged by Bors] - feat(CategoryTheory): transport Kan extensions via equivalences#12785
joelriou wants to merge 6 commits intomasterfrom
functor-kan-extension-equivalences

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@joelriou joelriou commented May 9, 2024

In this PR, it is shown that left/right Kan extensions of functors F : C ⥤ H along a functor L : C ⥤ D are compatible with changing the functors F and L by isomorphic functors, by the precomposition with an equivalence G : C' ⥤ C, and postcomposition with an equivalence D ⥤ D'.


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@joelriou joelriou added the t-category-theory Category theory label May 9, 2024
@joelriou joelriou added the awaiting-CI This PR does not pass CI yet. This label is automatically removed once it does. label May 9, 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 May 9, 2024
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erdOne commented May 18, 2024

LGTM, but maybe @dagurtomas can give it a look as well?

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Thanks for the ping. I'll take a look but I don't have time until tomorrow evening

Comment thread Mathlib/CategoryTheory/Functor/KanExtension/Basic.lean Outdated
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I just suggested a minor generalisation, otherwise LGTM.

@dagurtomas dagurtomas added awaiting-author A reviewer has asked the author a question or requested changes. and removed awaiting-review labels May 19, 2024
@joelriou joelriou added awaiting-review awaiting-CI This PR does not pass CI yet. This label is automatically removed once it does. and removed awaiting-author A reviewer has asked the author a question or requested changes. labels May 20, 2024
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erdOne commented May 24, 2024

Thanks! (and thanks Dagur!)
maintainer merge

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

@github-actions github-actions bot added the maintainer-merge A reviewer has approved the changed; awaiting maintainer approval. label May 24, 2024
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This is great, thanks!

bors merge

@github-actions github-actions bot added ready-to-merge This PR has been sent to bors. and removed awaiting-review labels May 24, 2024
mathlib-bors bot pushed a commit that referenced this pull request May 24, 2024
In this PR, it is shown that left/right Kan extensions of functors `F : C ⥤ H` along a functor `L : C ⥤ D` are compatible with changing the functors `F` and `L` by isomorphic functors, by the precomposition with an equivalence `G : C' ⥤ C`, and postcomposition with an equivalence `D ⥤ D'`.
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mathlib-bors bot commented May 24, 2024

Pull request successfully merged into master.

Build succeeded:

@mathlib-bors mathlib-bors bot changed the title feat(CategoryTheory): transport Kan extensions via equivalences [Merged by Bors] - feat(CategoryTheory): transport Kan extensions via equivalences May 24, 2024
@mathlib-bors mathlib-bors bot closed this May 24, 2024
@mathlib-bors mathlib-bors bot deleted the functor-kan-extension-equivalences branch May 24, 2024 09:47
grunweg pushed a commit that referenced this pull request May 24, 2024
In this PR, it is shown that left/right Kan extensions of functors `F : C ⥤ H` along a functor `L : C ⥤ D` are compatible with changing the functors `F` and `L` by isomorphic functors, by the precomposition with an equivalence `G : C' ⥤ C`, and postcomposition with an equivalence `D ⥤ D'`.
callesonne pushed a commit that referenced this pull request Jun 4, 2024
In this PR, it is shown that left/right Kan extensions of functors `F : C ⥤ H` along a functor `L : C ⥤ D` are compatible with changing the functors `F` and `L` by isomorphic functors, by the precomposition with an equivalence `G : C' ⥤ C`, and postcomposition with an equivalence `D ⥤ D'`.
js2357 pushed a commit that referenced this pull request Jun 18, 2024
In this PR, it is shown that left/right Kan extensions of functors `F : C ⥤ H` along a functor `L : C ⥤ D` are compatible with changing the functors `F` and `L` by isomorphic functors, by the precomposition with an equivalence `G : C' ⥤ C`, and postcomposition with an equivalence `D ⥤ D'`.
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4 participants