∀ {𝕜 : Type u_2} [inst : Semiring 𝕜] [inst_1 : PartialOrder 𝕜] {E : Type u_1} [inst_2 : AddCommMonoid E]
  [inst_3 : TopologicalSpace E] [ContinuousAdd E] [inst_5 : SMul 𝕜 E] (K : ConvexCone 𝕜 E),
  ∀ x ∈ closure ↑K, ∀ x_1 ∈ closure ↑K, x + x_1 ∈ closure ↑K