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[Merged by Bors] - feat(algebra/order/group): helper lemma 0 ≤ a + |a| #14457

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Helper lemma for integers and absolute values.


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@joneugster joneugster added easy < 20s of review time. See the lifecycle page for guidelines. awaiting-review The author would like community review of the PR labels May 29, 2022
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vihdzp commented May 29, 2022

I wonder if there's an easier proof using -a ≤ |a|.

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I wonder if there's an easier proof using -a ≤ |a|.

You are absolutely right, thanks! Do you think that's even worth adding? (I mean given that it took me some time searching that as part of a bigger proof, I'd argue yes, but idk)

@joneugster joneugster changed the title feat(data/int): Helper lemma 0 ≤ a + |a| feat(algebra/order/group): Helper lemma 0 ≤ a + |a| May 30, 2022
@joneugster joneugster changed the title feat(algebra/order/group): Helper lemma 0 ≤ a + |a| feat(algebra/order/group): helper lemma 0 ≤ a + |a| May 30, 2022
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ocfnash commented Jun 1, 2022

bors merge

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ocfnash commented Jun 1, 2022

bors merge

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bors bot commented Jun 1, 2022

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@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 Jun 1, 2022
bors bot pushed a commit that referenced this pull request Jun 1, 2022
Helper lemma for integers and absolute values.
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bors bot commented Jun 1, 2022

Pull request successfully merged into master.

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@bors bors bot changed the title feat(algebra/order/group): helper lemma 0 ≤ a + |a| [Merged by Bors] - feat(algebra/order/group): helper lemma 0 ≤ a + |a| Jun 1, 2022
@bors bors bot closed this Jun 1, 2022
@bors bors bot deleted the add_abs_nonneg branch June 1, 2022 15:09
tomaz1502 pushed a commit that referenced this pull request Jun 3, 2022
Helper lemma for integers and absolute values.
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4 participants