\begin{definition}[Definition:Complemented Lattice]
Let $\left({S, \vee, \wedge, \preceq}\right)$ be a bounded lattice.
Suppose that every $a \in S$ admits a complement.
Then $\left({S, \vee, \wedge, \preceq}\right)$ is called a '''complemented lattice'''.
\end{definition}