∀ {𝕜 : Type u_1} {E : Type u_3} [inst : Semiring 𝕜] [inst_1 : PartialOrder 𝕜] [inst_2 : TopologicalSpace E]
  [inst_3 : AddCommMonoid E] [inst_4 : Module 𝕜 E] {s : Set E}, IsOpen s → (StrictConvex 𝕜 s ↔ Convex 𝕜 s)