theorem Th22: :: FSM_3:22

for E being non empty set
for e being Element of E
for u being Element of E ^omega
for TS being non empty transition-system over (Lex E) \/ {(<%> E)}
for R being RedSequence of ==>.-relation TS st (R . 1) `2 = <%e%> ^ u & (R . (len R)) `2 = <%> E & not (R . 2) `2 = <%e%> ^ u holds
(R . 2) `2 = u