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
  for V,W be RealNormSpace,
      L be LinearOperator of V,W
    st L is one-to-one onto isometric-like
  holds L is_continuous_on the carrier of V by Th30,LOPBAN_7:6;
