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[Merged by Bors] - feat(category_theory/filtered): finite diagrams in filtered categories admit cocones #4026

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This is only step towards eventual results about filtered colimits commuting with finite limits, forget CommRing preserving filtered colimits, and applications to Scheme.


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I think this looks mostly good. sup_exists' has a pretty intimidating statement...

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I think this looks mostly good. sup_exists' has a pretty intimidating statement...

I added some more documentation, explaining the difference between sup_exists and sup_exists'.

@semorrison semorrison added the awaiting-review The author would like community review of the PR label Sep 3, 2020
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Thanks 🎉

bors merge

@github-actions github-actions bot added ready-to-merge All that is left is for bors to build and merge this PR. (Remember you need to say `bors r+`.) and removed awaiting-review The author would like community review of the PR labels Sep 3, 2020
bors bot pushed a commit that referenced this pull request Sep 3, 2020
…s admit cocones (#4026)

This is only step towards eventual results about filtered colimits commuting with finite limits, `forget CommRing` preserving filtered colimits, and applications to `Scheme`.



Co-authored-by: Scott Morrison <scott.morrison@gmail.com>
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The last build failed.
bors r-

Feel free to merge when it's fixed.

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bors bot commented Sep 3, 2020

Canceled.

@bryangingechen bryangingechen removed the ready-to-merge All that is left is for bors to build and merge this PR. (Remember you need to say `bors r+`.) label Sep 3, 2020
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bors r+

@github-actions github-actions bot added the ready-to-merge All that is left is for bors to build and merge this PR. (Remember you need to say `bors r+`.) label Sep 3, 2020
bors bot pushed a commit that referenced this pull request Sep 3, 2020
…s admit cocones (#4026)

This is only step towards eventual results about filtered colimits commuting with finite limits, `forget CommRing` preserving filtered colimits, and applications to `Scheme`.



Co-authored-by: Scott Morrison <scott.morrison@gmail.com>
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bors bot commented Sep 3, 2020

Canceled.

@bryangingechen bryangingechen removed the ready-to-merge All that is left is for bors to build and merge this PR. (Remember you need to say `bors r+`.) label Sep 3, 2020
@bryangingechen bryangingechen added the awaiting-author A reviewer has asked the author a question or requested changes label Sep 3, 2020
@semorrison semorrison added awaiting-review The author would like community review of the PR and removed awaiting-author A reviewer has asked the author a question or requested changes labels Sep 3, 2020
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Okay, I added the missing docs. (They're not that long...)

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bors r+

@github-actions github-actions bot added ready-to-merge All that is left is for bors to build and merge this PR. (Remember you need to say `bors r+`.) and removed awaiting-review The author would like community review of the PR labels Sep 3, 2020
bors bot pushed a commit that referenced this pull request Sep 3, 2020
…s admit cocones (#4026)

This is only step towards eventual results about filtered colimits commuting with finite limits, `forget CommRing` preserving filtered colimits, and applications to `Scheme`.



Co-authored-by: Scott Morrison <scott.morrison@gmail.com>
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bors bot commented Sep 3, 2020

Pull request successfully merged into master.

Build succeeded:

@bors bors bot changed the title feat(category_theory/filtered): finite diagrams in filtered categories admit cocones [Merged by Bors] - feat(category_theory/filtered): finite diagrams in filtered categories admit cocones Sep 3, 2020
@bors bors bot closed this Sep 3, 2020
@bors bors bot deleted the cocone_exists branch September 3, 2020 16:43
PatrickMassot pushed a commit that referenced this pull request Sep 8, 2020
…s admit cocones (#4026)

This is only step towards eventual results about filtered colimits commuting with finite limits, `forget CommRing` preserving filtered colimits, and applications to `Scheme`.



Co-authored-by: Scott Morrison <scott.morrison@gmail.com>
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3 participants