is a sequence of independent identically distributed discrete random pairs with
, Slepian and Wolf have shown that the
process and the
process can be separately described to a common receiver at rates
and
hits per symbol if
. A simpler proof of this result will be given. As a consequence it is established that the Slepian-Wolf theorem is true without change for arbitrary ergodic processes
and countably infinite alphabets. The extension to an arbitrary number of processes is immediate.