Two partially ordered sets are said to be isomorphic if their "structures" are entirely analogous. Formally, partially
ordered sets 
and 
are isomorphic if there is a bijection 
from 
to 
such that 
precisely when 
.
Isomorphic Posets
See also
Partially Ordered SetExplore with Wolfram|Alpha
Cite this as:
Weisstein, Eric W. "Isomorphic Posets." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/IsomorphicPosets.html