reserve V for non empty RealLinearSpace;
reserve S for Real_Sequence;
reserve k,n,m,m1 for Nat;
reserve g,h,r,x for Real;

theorem Th29:
  for X be RealNormSpace, f be Lipschitzian linear-Functional of X
    holds Bound2Lipschitz(f,X)=f
proof
  let X be RealNormSpace;
  let f be Lipschitzian linear-Functional of X;
  f in BoundedLinearFunctionals X by Def9;
  hence thesis by SUBSET_1:def 8;
end;
