theorem Th36:
  R_Normed_Algebra_of_BoundedFunctions X is RealBanachSpace
proof
  for seq be sequence of R_Normed_Algebra_of_BoundedFunctions X st seq is
  Cauchy_sequence_by_Norm holds seq is convergent by Th35;
  hence thesis by LOPBAN_1:def 15;
end;
