{R : Type u_1} →
  {A : Type u_2} →
    {C : Type u_4} →
      [inst : CommSemiring R] →
        [inst_1 : Ring A] →
          [inst_2 : AddCommMonoid C] →
            [inst_3 : Algebra R A] → [inst_4 : Module R C] → [Coalgebra R C] → Ring (WithConv (C →ₗ[R] A))