Theorem 17.3
(Fundamental Theorem of Stability (light))
.
The following are equivalent:
(i)
T
is stable.
(ii)
No
L
-formula has the order property with respect to
T
.
(iii)
For any
M
⊨
T
, every
p
∈
S
n
(
M
)
is definable.
(iv)
Non-forking
is an independence relation.