reserve X for non empty TopSpace;
reserve Y for non empty TopStruct;
reserve x for Point of Y;
reserve Y for non empty TopStruct;
reserve X for non empty TopSpace;
reserve x,y for Point of X;

theorem
  MaxADSet(x) misses MaxADSet(y) iff Cl {x} <> Cl {y} by Th49,Th22;
