
theorem LmFGND4:
  for V being non trivial finitely-generated torsion Z_Module holds
  V is non divisible
  proof
    let V be non trivial finitely-generated torsion Z_Module;
    consider i be Element of INT.Ring such that
    A1: i <> 0 & for v being Vector of V holds i * v = 0.V by LmTM1;
    thus thesis by A1,LmFGND41;
  end;
