 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
  for x, y being Element of AutGroup G for f, g being Element of Aut G
  st x = f & y = g holds x * y = f * g by Def2;
