 reserve G for Group;
 reserve H for Subgroup of G;
 reserve a, b, c, x, y for Element of G;
 reserve h for Homomorphism of G, G;
 reserve q, q1 for set;

theorem Th23:
  for a holds (Conjugate 1_G).a = a
proof
  let a;
  thus (Conjugate 1_G).a = a |^ 1_G by Def6
    .= a by GROUP_3:19;
end;
