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 Th48:
  MaxADSet(x) c= Cl {x}
proof
  Cl {x} = meet {F where F is Subset of X : F is closed & x in F} by Th2;
  hence thesis by Th47;
end;
