:: deftheorem Def1 defines FanodesSp-like PARSP_2:def 1 :
for IT being ParSp holds
( IT is FanodesSp-like iff ( not for a, b, c being Element of IT holds a,b '||' a,c & ( for a, b, c, d being Element of IT st b,c '||' a,d & a,b '||' c,d & a,c '||' b,d holds
a,b '||' a,c ) & ( for a, b, c, p, q, r being Element of IT st not a,p '||' a,b & not a,p '||' a,c & a,p '||' b,q & a,p '||' c,r & a,b '||' p,q & a,c '||' p,r holds
b,c '||' q,r ) ) );