∀ {𝕜₁ : Type u_4} {𝕜₂ : Type u_1} [inst : NormedField 𝕜₁] [inst_1 : NormedField 𝕜₂] {σ : 𝕜₁ →+* 𝕜₂} {E : Type u_3}
  {F : Type u_2} [inst_2 : AddCommGroup E] [inst_3 : TopologicalSpace E] [inst_4 : Module 𝕜₁ E]
  [inst_5 : AddCommGroup F] [inst_6 : TopologicalSpace F] [inst_7 : Module 𝕜₂ F] [inst_8 : IsTopologicalAddGroup F]
  [inst_9 : ContinuousConstSMul 𝕜₂ F] (x : E) (y : StrongDual 𝕜₂ F) (A : E →SWOT[σ] F), ‖y ((-A) x)‖ = ‖y (A x)‖