
theorem
  for X,Y be RealNormSpace-Sequence,
      Z be RealNormSpace,
      f be Point of
    R_NormSpace_of_BoundedBilinearOperators(product X, product Y, Z)
  holds
    f * (IsoCPNrSP(product X, product Y)) " is Point of
    R_NormSpace_of_BoundedMultilinearOperators(<* product X, product Y *>,Z)
  proof
    let X,Y be RealNormSpace-Sequence,
        Z be RealNormSpace,
        f be Point of
      R_NormSpace_of_BoundedBilinearOperators(product X,product Y,Z);

    f is Lipschitzian BilinearOperator of product X,product Y,Z
      by LOPBAN_9:def 4;
    then
    f * (IsoCPNrSP(product X, product Y))" is Lipschitzian MultilinearOperator
      of <*product X,product Y*>,Z
      by LOPBAN12:13;
    hence thesis by LOPBAN10:def 11;
  end;
