theorem Th58: :: REWRITE3:58

for x, y being object
for E being non empty set
for v, w being Element of E ^omega
for F being Subset of (E ^omega)
for TS being non empty transition-system over F holds
( x,v -->. y,TS iff <*[x,(v ^ w)],[y,w]*> is RedSequence of ==>.-relation TS )