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[Merged by Bors] - feat: exactness of short complexes#7052

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shortcomplex_exact
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[Merged by Bors] - feat: exactness of short complexes#7052
joelriou wants to merge 3 commits intomasterfrom
shortcomplex_exact

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@joelriou joelriou commented Sep 9, 2023

This PR introduces the definition of a proposition S.Exact when S is a short complex.


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@joelriou joelriou added the t-category-theory Category theory label Sep 9, 2023
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Under suitable assumptions, this new definition of exactness is equivalent to the existing one in mathlib. I understand that you plan to phase out the old definition. But in the mean time, I think it is good to provide a "glue" lemma that shows that the two are equivalent.

@jcommelin jcommelin added awaiting-author A reviewer has asked the author a question or requested changes. and removed awaiting-review labels Sep 14, 2023
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Thanks for the suggestions! I shall include a comparison lemma with the current Exact f g under suitable assumptions, but I need slightly more basic API (one or two PR on this file) before I can do this.

@joelriou joelriou added awaiting-review and removed awaiting-author A reviewer has asked the author a question or requested changes. labels Sep 14, 2023
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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 Sep 14, 2023
bors bot pushed a commit that referenced this pull request Sep 14, 2023
This PR introduces the definition of a proposition `S.Exact` when `S` is a short complex.
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bors bot commented Sep 14, 2023

Build failed (retrying...):

bors bot pushed a commit that referenced this pull request Sep 14, 2023
This PR introduces the definition of a proposition `S.Exact` when `S` is a short complex.
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bors bot commented Sep 14, 2023

Build failed (retrying...):

bors bot pushed a commit that referenced this pull request Sep 14, 2023
This PR introduces the definition of a proposition `S.Exact` when `S` is a short complex.
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bors bot commented Sep 14, 2023

Build failed:

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bors retry

bors bot pushed a commit that referenced this pull request Sep 15, 2023
This PR introduces the definition of a proposition `S.Exact` when `S` is a short complex.
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bors bot commented Sep 15, 2023

Pull request successfully merged into master.

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@bors bors bot changed the title feat: exactness of short complexes [Merged by Bors] - feat: exactness of short complexes Sep 15, 2023
@bors bors bot closed this Sep 15, 2023
@bors bors bot deleted the shortcomplex_exact branch September 15, 2023 09:39
kodyvajjha pushed a commit that referenced this pull request Sep 22, 2023
This PR introduces the definition of a proposition `S.Exact` when `S` is a short complex.
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