I have a list of vectors (coming from GAP) as follows:
U=[ [ 1, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 1 ], [ 1, 1, 0, 0, 0 ], [ 0, 0, 1, 0, 0 ], [ 0, 0, 0, 1, 0 ], [ 0, 1, 0, 0, 1 ], [ 1, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 1 ], [ 1, 0, 1, 1, 0 ], [ 0, 1, 0, 0, 0 ], [ 0, 0, 1, 1, 1 ], [ 1, 1, 1, 1, 1 ] ]
I want to define a poset using this list of vector via sage by saying that for two vectors v and w in this list U, we have v<=w if w-v in in the list U. Is there an easy way to obtain this poset directly in Sage?