 reserve m,n for Nat;
 reserve i,j for Integer;
 reserve S for non empty multMagma;
 reserve r,r1,r2,s,s1,s2,t for Element of S;
 reserve G for Group-like non empty multMagma;
 reserve e,h for Element of G;
 reserve G for Group;
 reserve f,g,h for Element of G;

theorem
  h" = g" implies h = g
proof
  assume h" = g"; then
A1: h * g" = 1_G by Def5;
  g * g" = 1_G by Def5;
  hence thesis by A1,Th6;
end;
