∀ {R : Type u_1} [inst : TopologicalSpace R] [inst_1 : Semiring R] {ι : Type u_2} [Finite ι] {A : ι → Type u_3}
  [inst_3 : (i : ι) → AddCommMonoid (A i)] [inst_4 : (i : ι) → Module R (A i)]
  [inst_5 : (i : ι) → TopologicalSpace (A i)] [∀ (i : ι), IsModuleTopology R (A i)], IsModuleTopology R ((i : ι) → A i)