Order Isomorphism

Definition

$f:S\to T\text{s.t.}\forall x,y\in S,x{\le }_{S}y\iff f(x){\le }_{T}f(y)$ where $(S,{\le }_S),(T,{\le }_T)$ are Partially Ordered Set and $f$ is a Bijective function

Facts

Order isomorphism is a special case of an Isomomorphism