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[Merged by Bors] - feat(topology/uniform_space): Every Cauchy sequence over ℕ is totally bounded#16563

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[Merged by Bors] - feat(topology/uniform_space): Every Cauchy sequence over ℕ is totally bounded#16563
mcdoll wants to merge 2 commits intomasterfrom
mcdoll/cauchy_bounded

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@mcdoll mcdoll commented Sep 20, 2022

This PR proves that the image of every Cauchy sequence ℕ → α is totally bounded.

Co-authored-by: Yury G. Kudryashov urkud@urkud.name


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@mcdoll mcdoll added awaiting-review The author would like community review of the PR t-topology Topological spaces, uniform spaces, metric spaces, filters labels Sep 20, 2022
Co-authored-by: Yury G. Kudryashov <urkud@urkud.name>
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Thanks 🎉

If CI passes, please remove the label awaiting-CI and merge this yourself, by adding a comment bors r+.

bors d+

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bors bot commented Sep 20, 2022

✌️ mcdoll can now approve this pull request. To approve and merge a pull request, simply reply with bors r+. More detailed instructions are available here.

@leanprover-community-bot-assistant leanprover-community-bot-assistant added delegated The PR author may merge after reviewing final suggestions. and removed awaiting-review The author would like community review of the PR labels Sep 20, 2022
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mcdoll commented Sep 20, 2022

bors merge

bors bot pushed a commit that referenced this pull request Sep 20, 2022
… bounded (#16563)

This PR proves that the image of every Cauchy sequence `ℕ → α` is totally bounded.

Co-authored-by: Yury G. Kudryashov <urkud@urkud.name>
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bors bot commented Sep 20, 2022

Pull request successfully merged into master.

Build succeeded:

@bors bors bot changed the title feat(topology/uniform_space): Every Cauchy sequence over ℕ is totally bounded [Merged by Bors] - feat(topology/uniform_space): Every Cauchy sequence over ℕ is totally bounded Sep 20, 2022
@bors bors bot closed this Sep 20, 2022
@bors bors bot deleted the mcdoll/cauchy_bounded branch September 20, 2022 11:17
b-mehta pushed a commit that referenced this pull request Sep 21, 2022
… bounded (#16563)

This PR proves that the image of every Cauchy sequence `ℕ → α` is totally bounded.

Co-authored-by: Yury G. Kudryashov <urkud@urkud.name>
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4 participants