reserve v for object;
reserve V,A for set;
reserve f for SCBinominativeFunction of V,A;

theorem Th1:
  for d being object st d in nonatomicsND(V,A) holds d is NonatomicND of V,A
  proof
    let d be object;
    assume d in nonatomicsND(V,A);
    then ex d1 being NonatomicND of V,A st d = d1;
    hence thesis;
  end;
