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[Merged by Bors] - feat(CategoryTheory): allow diagram chases by arguing up to refinements #7821

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@joelriou joelriou commented Oct 21, 2023

This PR introduces the most basic results which enable doing diagram chases in general abelian categories by arguing "up to refinements".


See also https://leanprover.zulipchat.com/#narrow/stream/335062-homology/topic/Diagram.20chases.20in.20general.20abelian.20categories

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digama0 commented Oct 21, 2023

Note: I have pushed an update to the lean toolchain because this PR was on a buggy version of the toolchain. WARNING: checking out old commits of this PR using v4.2.0-rc2 or v4.2.0-rc3 can cause lake clean to delete your mathlib folder! If you need to do so, make sure to delete lakefile.olean manually before running any lake commands.

Comment on lines 37 to 39
arguing locally for a Grothendieck topology. It is even likely that
it is a particular case (consider the canonical topology on
the abelian category `C`).
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Do you want to turn this into a TODO? Or phrase it more directly as a question that can be investigated?

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I have turned it into a TODO, with a more precise formulation.

Mathlib/Algebra/Homology/ShortComplex/Refinements.lean Outdated Show resolved Hide resolved
@jcommelin jcommelin added awaiting-author A reviewer has asked the author a question or requested changes and removed awaiting-review labels Oct 27, 2023
@joelriou joelriou added awaiting-review and removed awaiting-author A reviewer has asked the author a question or requested changes labels Oct 28, 2023
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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 labels Oct 30, 2023
bors bot pushed a commit that referenced this pull request Oct 30, 2023
…ts (#7821)

This PR introduces the most basic results which enable doing diagram chases in general abelian categories by arguing "up to refinements".



Co-authored-by: Mario Carneiro <di.gama@gmail.com>
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bors bot commented Oct 30, 2023

Pull request successfully merged into master.

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@bors bors bot changed the title feat(CategoryTheory): allow diagram chases by arguing up to refinements [Merged by Bors] - feat(CategoryTheory): allow diagram chases by arguing up to refinements Oct 30, 2023
@bors bors bot closed this Oct 30, 2023
@bors bors bot deleted the refinements branch October 30, 2023 16:18
grunweg pushed a commit that referenced this pull request Nov 1, 2023
…ts (#7821)

This PR introduces the most basic results which enable doing diagram chases in general abelian categories by arguing "up to refinements".



Co-authored-by: Mario Carneiro <di.gama@gmail.com>
fgdorais pushed a commit that referenced this pull request Nov 1, 2023
…ts (#7821)

This PR introduces the most basic results which enable doing diagram chases in general abelian categories by arguing "up to refinements".



Co-authored-by: Mario Carneiro <di.gama@gmail.com>
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4 participants