∀ {𝕜 : Type u_4} {E : Type u_1} {Fₗ : Type u_2} {Gₗ : Type u_3} [inst : SeminormedAddCommGroup E]
  [inst_1 : SeminormedAddCommGroup Fₗ] [inst_2 : SeminormedAddCommGroup Gₗ] [inst_3 : NontriviallyNormedField 𝕜]
  [inst_4 : NormedSpace 𝕜 E] [inst_5 : NormedSpace 𝕜 Fₗ] [inst_6 : NormedSpace 𝕜 Gₗ], ContinuousAdd (E × Fₗ →L[𝕜] Gₗ)