 reserve
  S for non empty TopSpace,
  T for LinearTopSpace,
  X for non empty Subset of the carrier of S;
 reserve
    S,T for RealNormSpace,
    X for non empty Subset of the carrier of S;

theorem
  for X be ZeroStr,
  f be (the carrier of X)-valued Function
    holds support f c= dom f by Def10;
