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is_every_convex_polyhedron_rupert

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Does the Rupert property hold for every convex polyhedron with nonempty interior?

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Lean 4 Statement 
theorem is_every_convex_polyhedron_rupert :
    answer(sorry) ↔ ∀ (vertices : Finset ℝ³),
       (interior (convexHull ℝ vertices : Set ℝ³)).Nonempty → IsRupert vertices
ID: Paper__Rupert__is_every_convex_polyhedron_rupert
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