∀ (𝕜 : Type u_1) (ι : Type u_2) [inst : Fintype ι] [inst_1 : TopologicalSpace 𝕜] [inst_2 : Semiring 𝕜]
  [inst_3 : PartialOrder 𝕜] [OrderClosedTopology 𝕜] [ContinuousAdd 𝕜] [CompactIccSpace 𝕜] [IsOrderedAddMonoid 𝕜],
  CompactSpace ↑(stdSimplex 𝕜 ι)