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[Merged by Bors] - chore: Miscellaneous lemmas#3213

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YaelDillies wants to merge 6 commits intomasterfrom
set_of_inter
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[Merged by Bors] - chore: Miscellaneous lemmas#3213
YaelDillies wants to merge 6 commits intomasterfrom
set_of_inter

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@YaelDillies YaelDillies added awaiting-review mathlib3-pair This PR is a forward-port of a mathlib3 PR or part of one, either under review or recently merged labels Apr 1, 2023

theorem WithTop.supₛ_eq [Preorder α] [SupSet α] {s : Set (WithTop α)} (hs : ⊤ ∉ s)
(hs' : BddAbove ((↑) ⁻¹' s : Set α)) : supₛ s = ↑(supₛ ((↑) ⁻¹' s) : α) :=
(if_neg hs).trans $ if_pos hs'
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mathport seems to declare that <| is more idiomatic than $; probably best in future just to leave it.

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bors merge

Thanks!

@kim-em kim-em added ready-to-merge This PR has been sent to bors. and removed awaiting-review labels Apr 1, 2023
bors bot pushed a commit that referenced this pull request Apr 1, 2023
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bors bot commented Apr 1, 2023

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bors merge

bors bot pushed a commit that referenced this pull request Apr 1, 2023
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bors bot commented Apr 1, 2023

Pull request successfully merged into master.

Build succeeded:

@bors bors bot changed the title chore: Miscellaneous lemmas [Merged by Bors] - chore: Miscellaneous lemmas Apr 1, 2023
@bors bors bot closed this Apr 1, 2023
@bors bors bot deleted the set_of_inter branch April 1, 2023 17:37
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