\begin{definition}[Definition:Nonzero Integer]
A '''nonzero integer''' is an element of the set:
:$\Z \setminus \set 0$
where:
:$\Z$ denotes the set of integers
:$\setminus$ denotes set difference.
Thus:
:$\Z \setminus \set 0 = \set {\ldots, -3, -2, -1, 1, 2, 3, \ldots}$
and can be denoted $\Z_{\ne 0}$.
\end{definition}