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∈Sn(M) is definable.
  • (iv)
    Non-forking is an independence relation.