theorem Th30: :: NECKLA_3:30

for R being non empty symmetric irreflexive RelStr st not R is path-connected holds
ex G1, G2 being non empty strict symmetric irreflexive RelStr st
( the carrier of G1 misses the carrier of G2 & RelStr(# the carrier of R, the InternalRel of R #) = union_of (G1,G2) )