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[Merged by Bors] - feat(analysis/locally_convex): polar sets for dualities #12849

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@mcdoll mcdoll commented Mar 20, 2022

Define the absolute polar for a duality and prove easy properties such as

  • linear_map.polar_eq_Inter: The polar as an intersection.
  • linear_map.subset_bipolar: The polar is a subset of the bipolar.
  • linear_map.polar_weak_closed: The polar is closed in the weak topology induced by B.flip.

Moreover, the corresponding lemmas are removed in the normed space setting as they all follow directly from the general case.


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@mcdoll mcdoll added the WIP Work in progress label Mar 20, 2022
@mcdoll mcdoll added awaiting-review The author would like community review of the PR and removed WIP Work in progress labels Mar 22, 2022
@mcdoll mcdoll marked this pull request as ready for review March 22, 2022 17:49
@mcdoll mcdoll 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 Mar 22, 2022
@leanprover-community-bot-assistant leanprover-community-bot-assistant 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 Mar 26, 2022
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@dupuisf dupuisf 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 Mar 30, 2022
@mcdoll mcdoll 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 Mar 30, 2022
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dupuisf commented Mar 30, 2022

Looks good, thanks!

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 Mar 30, 2022
bors bot pushed a commit that referenced this pull request Mar 30, 2022
Define the absolute polar for a duality and prove easy properties such as
* `linear_map.polar_eq_Inter`: The polar as an intersection.
* `linear_map.subset_bipolar`: The polar is a subset of the bipolar.
* `linear_map.polar_weak_closed`: The polar is closed in the weak topology induced by `B.flip`.

Moreover, the corresponding lemmas are removed in the normed space setting as they all follow directly from the general case.
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bors bot commented Mar 30, 2022

Pull request successfully merged into master.

Build succeeded:

@bors bors bot changed the title feat(analysis/locally_convex): polar sets for dualities [Merged by Bors] - feat(analysis/locally_convex): polar sets for dualities Mar 30, 2022
@bors bors bot closed this Mar 30, 2022
@bors bors bot deleted the mcdoll/polar branch March 30, 2022 15:56
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