Definition:Order Property

Definition
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:
 * $\map P {S_1, \preceq_1} \iff \map P {S_2, \preceq_2}$