∀ {κ : Type u_3} {𝕜₂ : Type u_1} {F : Type u_2} [inst : NontriviallyNormedField 𝕜₂] [inst_1 : AddCommGroup F]
  [inst_2 : Module 𝕜₂ F] [inst_3 : UniformSpace F] {q : SeminormFamily 𝕜₂ F κ}, WithSeminorms q → PolynormableSpace 𝕜₂ F