\begin{definition}[Definition:Bounded Below Sequence/Real/Unbounded]
Let $\sequence {x_n}$ be a real sequence.
$\sequence {x_n}$ is '''unbounded below''' {{iff}} there exists no $m$ in $\R$ such that:
:$\forall i \in \N: m \le x_i$
Category:Definitions/Boundedness
\end{definition}