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[Merged by Bors] - feat: add star_mul_self_add_self_mul_star #10365

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[Merged by Bors] - feat: add star_mul_self_add_self_mul_star #10365

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adds the lemma: star a * a + a * star a = 2 • ((ℜ a) ^ 2 + (ℑ a) ^ 2) for star algebras over ℂ.

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@j-loreaux j-loreaux added awaiting-review The author would like community review of the PR easy < 20s of review time. See the lifecycle page for guidelines. t-algebra Algebra (groups, rings, fields etc) labels Feb 9, 2024
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eric-wieser approved these changes Feb 9, 2024
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bors d+

Is non-associativity also easy and/or something you care about?

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mathlib-bors bot commented Feb 9, 2024

✌️ j-loreaux 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-mathlib4-bot leanprover-community-mathlib4-bot added delegated and removed awaiting-review The author would like community review of the PR labels Feb 9, 2024
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bors merge

@github-actions github-actions bot added the ready-to-merge This PR has been sent to bors. label Feb 9, 2024
mathlib-bors bot pushed a commit that referenced this pull request Feb 9, 2024
@j-loreaux
feat: add star_mul_self_add_self_mul_star (#10365)
dd92a5c 
adds the lemma: `star a * a + a * star a = 2 • ((ℜ a) ^ 2 + (ℑ a) ^ 2)` for star algebras over `ℂ`.
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mathlib-bors bot commented Feb 9, 2024

Pull request successfully merged into master.

Build succeeded:

@mathlib-bors mathlib-bors bot changed the title feat: add star_mul_self_add_self_mul_star [Merged by Bors] - feat: add star_mul_self_add_self_mul_star Feb 9, 2024
@mathlib-bors mathlib-bors bot closed this Feb 9, 2024
@mathlib-bors mathlib-bors bot deleted the j-loreaux/star_mul_self_add_self_mul_star branch February 9, 2024 09:55
atarnoam pushed a commit that referenced this pull request Feb 9, 2024
@j-loreaux @atarnoam
feat: add star_mul_self_add_self_mul_star (#10365)
29ef259 
adds the lemma: `star a * a + a * star a = 2 • ((ℜ a) ^ 2 + (ℑ a) ^ 2)` for star algebras over `ℂ`.
dagurtomas pushed a commit that referenced this pull request Mar 22, 2024
@j-loreaux @dagurtomas
feat: add star_mul_self_add_self_mul_star (#10365)
5783e16 
adds the lemma: `star a * a + a * star a = 2 • ((ℜ a) ^ 2 + (ℑ a) ^ 2)` for star algebras over `ℂ`.
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