theorem Th32: :: REWRITE3:32

for x1, x2, y1, y2 being object
for E being non empty set
for F being Subset of (E ^omega)
for TS being non empty transition-system over F st [[x1,x2],[y1,y2]] in ==>.-relation TS holds
( x1 in TS & y1 in TS & x2 in E ^omega & y2 in E ^omega & x1 in dom (dom the Tran of TS) & y1 in rng the Tran of TS )