 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;
 reserve u for UnOp of G;

theorem
  (1_G) |^ i = 1_G
proof
  (1_G) |^ i = (1_G) |^ |.i.| or
    (1_G) |^ i = ((1_G) |^ |.i.|)" & (1_G)" = 1_G by Def8,Th8;
  hence thesis by Lm4;
end;
