reserve i1 for Element of INT;
reserve j1,j2,j3 for Integer;
reserve p,s,k,n for Nat;
reserve x,y,xp,yp for set;
reserve G for Group;
reserve a,b for Element of G;
reserve F for FinSequence of G;
reserve I for FinSequence of INT;

theorem Th8:
  for G being finite Group, a being Element of G holds ord a divides card G
proof
  let G be finite Group, a be Element of G;
  ord a = card gr {a} by Th7;
  hence thesis by GROUP_2:148;
end;
