On page 174 of both copies I can access of Mumford's book "Lectures on Curves on an Algebraic Surface" there is a printing omission (like this one).

LEMMA 2: Let $A$ be a complete $p$-adic ring where $p$ is not a zero-divisor, such that $A/p$ is perfect. Then there is a 1-1 correspondence between members of $A$ and sequences $(\xi_0,\xi_1,\ldots)$ of elements of $A/p$, given by...

Who can supply the missing text?