∀ {𝕜 : Type u_1} {E : Type u_2} {F : Type u_3} {ι : Type u_4} [inst : NormedField 𝕜] [inst_1 : AddCommGroup E]
  [inst_2 : Module 𝕜 E] [inst_3 : TopologicalSpace E] [inst_4 : AddCommGroup F] [inst_5 : Module 𝕜 F]
  [inst_6 : TopologicalSpace F] [inst_7 : IsTopologicalAddGroup F] [ContinuousSMul 𝕜 E] {𝕜' : Type u_5}
  [inst_9 : NontriviallyNormedField 𝕜'] [inst_10 : NormedAlgebra 𝕜' 𝕜] [inst_11 : Module 𝕜' E]
  [inst_12 : IsScalarTower 𝕜' 𝕜 E] [inst_13 : Module 𝕜' F] [inst_14 : IsScalarTower 𝕜' 𝕜 F],
  Continuous (ContinuousAlternatingMap.restrictScalars 𝕜')