Posets, Tosets and Lattices are already defined in set.mm. I imagine one may 
define a function F mapping them to their corresponding graphs : vertices are 
the same base, edges are something like the set { <. x, y >. | ( x ( le ‘ P ) y 
/\ -. E. z ( x ( le ‘ P ) z /\ z ( le ‘ P ) y ) ) }
Then, I think ran F would be the set of graphs you’re interested in.
BR,
_
Thierry 


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