∀ {𝕜 : Type u_2} {E : Type u_3} [inst : Semiring 𝕜] [inst_1 : PartialOrder 𝕜] [inst_2 : AddCommMonoid E]
  [inst_3 : Module 𝕜 E] {t₁ t₂ : TopologicalSpace E},
  LocallyConvexSpace 𝕜 E → LocallyConvexSpace 𝕜 E → LocallyConvexSpace 𝕜 E