 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 a, b st b is Element of H holds b |^ a in H) iff H is normal by Lm1,Lm2;
