# Definition:Strictly Negative/Integer

## Definition

The strictly negative integers are the set defined as:

 $\displaystyle \Z_{< 0}$ $:=$ $\displaystyle \set {x \in \Z: x < 0}$ $\displaystyle$ $=$ $\displaystyle \set {-1, -2, -3, \ldots}$

That is, all the integers that are strictly less than zero.