theorem Th36:
  for S be non empty compact TopSpace,T be NormedLinearTopSpace
  for x be Point of R_NormSpace_of_ContinuousFunctions(S,T),
  y be Point of R_NormSpace_of_BoundedFunctions(the carrier of S,T)
    st x=y holds ||.x.||= ||.y.|| by FUNCT_1:49;
