∀ {X : Type u_1} {𝕜 : Type u_2} {E : Type u_3} [inst : TopologicalSpace X] [inst_1 : Semiring 𝕜]
  [inst_2 : PartialOrder 𝕜] [inst_3 : AddCommGroup E] [inst_4 : Module 𝕜 E] [inst_5 : TopologicalSpace E]
  [LocallyConvexSpace 𝕜 E] [inst_7 : IsTopologicalAddGroup E] [inst_8 : ContinuousConstSMul 𝕜 E],
  LocallyConvexSpace 𝕜 C(X, E)