reserve X for set,
        n,m,k for Nat,
        K for Field,
        f for n-element real-valued FinSequence,
        M for Matrix of n,m,F_Real;

theorem Th15:
  the RLSStruct of REAL-NS(n) = RealVectSpace(Seg n)
  proof
    thus the RLSStruct of REAL-NS(n)
     = the RLSStruct of TOP-REAL(n) by REAL_NS2:1
    .= RealVectSpace(Seg n) by EUCLID:def 8;
  end;
