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

theorem Th34:
  for A, B being Subset of Y holds A c= MaxADSet(B) implies
  MaxADSet(A) c= MaxADSet(B)
proof
  let A, B be Subset of Y;
  assume A c= MaxADSet(B);
  then MaxADSet(A) c= MaxADSet(MaxADSet(B)) by Th31;
  hence thesis by Th33;
end;
