\begin{definition}[Definition:Bounded Lattice/Definition 1]
Let $\struct {S, \preceq}$ be an ordered set.
Let $S$ admit all finite suprema and finite infima.
Let $\vee$ and $\wedge$ be the join and meet operations on $S$, respectively.
Then the ordered structure $\struct {S, \vee, \wedge, \preceq}$ is a '''bounded lattice'''.
\end{definition}