theorem Th93:
for
x1,
x2,
y1,
y2,
z 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
TS is
deterministic &
x1,
x2 ==>* y1,
z,
TS &
x1,
x2 ==>* y2,
z,
TS holds
y1 = y2 by Th80;