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Krein Milman for polytopes and FG cones - #116

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ooovi wants to merge 52 commits into
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homogenization_krein_milman
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ooovi wants to merge 52 commits into
mainfrom
homogenization_krein_milman

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@ooovi

@ooovi ooovi commented Oct 21, 2026 •

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Integrating the proofs @mo271 and @theran worked on during the workshop:

  • proving the lemma (hx : x ∉ convexHull R s) : IsFaceOf R ({x} : Set A) (convexHull R (insert x s)) using homogenization and a corresponding cone lemma
  • using it to prove krein milman for polytopes inductively
  • using that and homogenization for a nicer version of krein milman for FG cones

i'm not sure this is the approach we want. louis has done a lot of work to avoid the first use of homogenization here, but I'm not sure why we'd want to avoid it?

depends on #115 and #112 if we merge them the diff will look nice

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