{ι : Type u_1} →
  {S : Type u_3} →
    {R : Type u_4} →
      [inst : CommSemiring S] →
        [inst_1 : Semiring R] →
          [inst_2 : Algebra S R] →
            [inst_3 : AddMonoid ι] → (A : ι → Submodule S R) → [inst_4 : SetLike.GradedMonoid A] → Algebra S ↥(A 0)