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[Merged by Bors] - feat(data/finset/pi_induction): induction on Π i, finset (α i) #8794

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@urkud urkud commented Aug 21, 2021

…`min'/max'`

* add `finset.nonempty.to_set`;
* add lemmas `finset.max'_lt_iff`, `finset.lt_min'_iff`,
  `finset.max'_eq_sup'`, `finset.min'_eq_inf'`;
* rewrite `finset.induction_on_max` without using `finset.card`,
  move one step to `finset.lt_max'_of_mem_erase_max'`;
* add lemmas relating `Sup`/`Inf` of a nonempty finite set in a
  conditionally complete lattice to
 `finset.sup'`/`finset.inf'`/`finset.max'`/`finset.min'`;
* a few more lemmas about `Sup`/`Inf` of a nonempty finite set
  in a conditionally complete lattice / linear order;
* golf the proof of `filter.high_scores`.
@github-actions github-actions bot added the blocked-by-other-PR This PR depends on another PR which is still in the queue. A bot manages this label via PR comment. label Aug 21, 2021
@urkud urkud added the awaiting-review The author would like community review of the PR label Aug 21, 2021
@github-actions github-actions bot removed the blocked-by-other-PR This PR depends on another PR which is still in the queue. A bot manages this label via PR comment. label Aug 22, 2021
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🎉 Great news! Looks like all the dependencies have been resolved:

💡 To add or remove a dependency please update this issue/PR description.

Brought to you by Dependent Issues (:robot: ). Happy coding!

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can you merge master?

@sgouezel sgouezel added awaiting-author A reviewer has asked the author a question or requested changes and removed awaiting-review The author would like community review of the PR labels Aug 23, 2021
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urkud commented Aug 23, 2021

can you merge master?

Done.

@urkud urkud 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 Aug 23, 2021
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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 Aug 26, 2021
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bors bot commented Aug 26, 2021

Build failed (retrying...):

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bors bot commented Aug 26, 2021

Pull request successfully merged into master.

Build succeeded:

@bors bors bot changed the title feat(data/finset/pi_induction): induction on Π i, finset (α i) [Merged by Bors] - feat(data/finset/pi_induction): induction on Π i, finset (α i) Aug 26, 2021
@bors bors bot closed this Aug 26, 2021
@bors bors bot deleted the finset-pi-ind branch August 26, 2021 21:24
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