\begin{definition}[Definition:Bounded Below Sequence/Unbounded]
Let $\struct {T, \preceq}$ be an ordered set.
Let $\sequence {x_n}$ be a sequence in $T$.
$\sequence {x_n}$ is '''unbounded below''' {{iff}} there exists no $m$ in $T$ such that:
:$\forall i \in \N: m \preceq x_i$
Category:Definitions/Boundedness
\end{definition}