reserve n for non zero Element of NAT;
reserve a,b,r,t for Real;

theorem Th17:
  for X be non empty closed_interval Subset of REAL for Y be RealNormSpace,
      f be Point of R_NormSpace_of_ContinuousFunctions(X,Y),
      g be Point of R_NormSpace_of_BoundedFunctions(X,Y)
      st f=g holds ||.f.|| = ||.g.|| by FUNCT_1:49;
