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;
reserve A, B for Subset of X;
reserve P, Q for Subset of X;

theorem Th59:
  MaxADSet(A) c= Cl A
proof
  Cl A = meet {F where F is Subset of X : F is closed & A c= F} by Th1;
  hence thesis by Th58;
end;
