{A : Type u_1} →
  [inst : NonUnitalCStarAlgebra A] →
    [inst_1 : PartialOrder A] →
      {ι : Type u_2} →
        {E : ι → Type u_3} →
          [inst_2 : Fintype ι] →
            [inst_3 : (i : ι) → NormedAddCommGroup (E i)] →
              [inst_4 : (i : ι) → Module ℂ (E i)] →
                [inst_5 : (i : ι) → SMul A (E i)] →
                  [inst_6 : (i : ι) → CStarModule A (E i)] →
                    [inst_7 : StarOrderedRing A] → NormedSpace ℂ (WithCStarModule A ((i : ι) → E i))