  For $\kappa\in(0,4]$, a family of annulus SLE$(\kappa;\Lambda)$ processes
were introduced in [14] to prove the reversibility of whole-plane
SLE$(\kappa)$. In this paper we prove that those annulus SLE$(\kappa;\Lambda)$
processes satisfy a restriction property, which is similar to that for chordal
SLE$(\kappa)$. Using this property, we construct $n\ge 2$ curves crossing an
annulus such that, when any $n-1$ curves are given, the last curve is a chordal
SLE$(\kappa)$ trace.
