reserve U for Universe;
reserve x for Element of U;
reserve U1,U2 for Universe;

theorem
  for G being Group st G is U-element holds
    the multF of G is Element of U
  proof
    let G be Group;
    assume G is U-element;
    then reconsider CG = the carrier of G as Element of U;
    [:[:CG,CG:],CG:] is Element of U;
    hence thesis by CLASSES4:13;
  end;
