∀ {𝕜₁ : Type u_1} {𝕜₂ : Type u_2} [inst : NormedField 𝕜₁] [inst_1 : NormedField 𝕜₂] {σ : 𝕜₁ →+* 𝕜₂} {E : Type u_4}
  {F : Type u_5} [inst_2 : AddCommGroup E] [inst_3 : Module 𝕜₁ E] [inst_4 : AddCommGroup F] [inst_5 : Module 𝕜₂ F]
  [inst_6 : TopologicalSpace E] [RingHomSurjective σ] [RingHomIsometric σ] [inst_9 : TopologicalSpace F]
  [inst_10 : IsTopologicalAddGroup F] [inst_11 : ContinuousSMul 𝕜₂ F], ContinuousSMul 𝕜₂ (E →SL[σ] F)