
theorem Th39:
  for X, Y, Z be RealNormSpace holds
  R_NormSpace_of_BoundedBilinearOperators(X,Y,Z) is RealNormSpace
  proof
    let X, Y, Z be RealNormSpace;
      R_VectorSpace_of_BoundedBilinearOperators(X,Y,Z) is RealLinearSpace;
    hence thesis by RSSPACE3:2;
  end;
