reserve n,m for Element of NAT;
reserve r,s for Real;
reserve z for Complex;
reserve CNS,CNS1,CNS2 for ComplexNormSpace;
reserve RNS for RealNormSpace;
reserve X,X1 for set;

theorem
  for f be PartFunc of CNS1,CNS2 st X c= dom f & f|X is constant holds f
  is_continuous_on X by Th112,Th116;
