  We establish Anderson localization for quasiperiodic operator families of the
form
  $$
  (H(x)\psi)(m)=\psi(m+1)+\psi(m-1)+\lambda v(x+m\alpha)\psi(m)
  $$ for all $\lambda>0$ and all Diophantine $\alpha$, provided that $v$ is a
$1$-periodic function satisfying a Lipschitz monotonicity condition on $[0,1)$.
The localization is uniform on any energy interval on which Lyapunov exponent
is bounded from below.
