\begin{definition}[Definition:Order Property]
An '''order property''' is a property of an ordered sets which is invariant under order isomorphism.
That is, if $\struct {S_1, \preceq_1}$ and $\struct {S_2, \preceq_2}$ are isomorphic ordered sets, and $P$ is a property, then:
:$\map P {S_1, \preceq_1} \iff \map P {S_2, \preceq_2}$
\end{definition}