  We analyze the dynamics of an $SU_L(2)\otimes U_R(1)$ chiral theory on the
lattice with a strong multifermion coupling. It is shown that no spontaneous
symmetry breaking occurs; the ``spectator'' fermion $\psi_R$ is a free mode;
doublers are decoupled as massive Dirac fermions consistently with the chiral
symmetries. In 1+1 dimension, we show that the right-handed three-fermion state
disappears at the threshold and an undoubled left-handed chiral fermion remains
in the continuum limit.
