for G being non empty symmetric irreflexive RelStr
for x being Element of G
for R1, R2 being non empty RelStr st the carrier of R1 misses the carrier of R2 & subrelstr (([#] G) \ {x}) = union_of (R1,R2) & not G is trivial & G is path-connected & ComplRelStr G is path-connected holds
G embeds Necklace 4