theorem Th22:
  Conjugate 1_G = id the carrier of G
proof
  for a holds (Conjugate 1_G).a = a
  proof
    let a;
    a |^ 1_G = a by GROUP_3:19;
    hence thesis by Def6;
  end; then
  for q being object st q in the carrier of G holds (Conjugate 1_G).q = q;
  hence thesis;
end;
