∀ (R : Type u_1) {ι : Type u_2} [inst : CommSemiring ι] [inst_1 : DecidableEq ι] (𝒜 : ι → Type u_3)
  [inst_2 : CommRing R] [inst_3 : (i : ι) → AddCommGroup (𝒜 i)] [inst_4 : (i : ι) → Module R (𝒜 i)]
  [inst_5 : DirectSum.GRing 𝒜] [inst_6 : DirectSum.GAlgebra R 𝒜],
  IsScalarTower R (DirectSum ι fun i => 𝒜 i) (DirectSum ι fun i => 𝒜 i)