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[Merged by Bors] - feat(analysis/seminorm): Add construction of seminorm over normed fields #15893

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@mcdoll mcdoll commented Aug 6, 2022

As for normed spaces the properties of seminorms over fields are strong enough so that it sufficies to assume that ∀ (r : 𝕜) x, f (r • x) ≤ ∥r∥ * f x. This PR adds this construction.


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@mcdoll mcdoll added awaiting-review The author would like community review of the PR t-analysis Analysis (normed *, calculus) labels Aug 6, 2022
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It looks good to me!

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mcdoll commented Aug 15, 2022

I've now inlined one more private lemma, which removes the naming question. Now all of the private lemmas are used at least twice.

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Co-authored-by: sgouezel <sebastien.gouezel@univ-rennes1.fr>
@mcdoll mcdoll added the easy < 20s of review time. See the lifecycle page for guidelines. label Aug 25, 2022
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Thanks!

bors d+

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bors bot commented Aug 29, 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 Aug 29, 2022
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mcdoll commented Aug 29, 2022

thanks everyone

bors merge

bors bot pushed a commit that referenced this pull request Aug 29, 2022
…lds (#15893)

As for normed spaces the properties of seminorms over fields are strong enough so that it sufficies to assume that `∀ (r : 𝕜) x, f (r • x) ≤ ∥r∥ * f x`. This PR adds this construction.
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bors bot commented Aug 29, 2022

Pull request successfully merged into master.

Build succeeded:

@bors bors bot changed the title feat(analysis/seminorm): Add construction of seminorm over normed fields [Merged by Bors] - feat(analysis/seminorm): Add construction of seminorm over normed fields Aug 29, 2022
@bors bors bot closed this Aug 29, 2022
@bors bors bot deleted the mcdoll/seminorm_of_le branch August 29, 2022 18:03
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6 participants