
theorem Th27:
  for X be non empty set, Y be ComplexBanachSpace holds
  C_NormSpace_of_BoundedFunctions(X,Y) is ComplexBanachSpace
proof
  let X be non empty set;
  let Y be ComplexBanachSpace;
  for seq be sequence of C_NormSpace_of_BoundedFunctions(X,Y) st seq is
  Cauchy_sequence_by_Norm holds seq is convergent by Th26;
  hence thesis by CLOPBAN1:def 13;
end;
