theorem Th29:
  for X, Y be RealNormSpace for f be Lipschitzian LinearOperator of X,Y
  holds modetrans(f,X,Y)=f
proof
  let X, Y be RealNormSpace;
  let f be Lipschitzian LinearOperator of X,Y;
  f in BoundedLinearOperators(X,Y) by Def9;
  hence thesis by Def11;
end;
