(** Determinism for infinite transition sequences. *)

Lemma forever_reactive_inv2:
forall s t1 s1, Star L s t1 s1 ->
forall t2 s2 T1 T2,
Star L s t2 s2 ->
t1 <> E0 -> t2 <> E0 ->
Forever_reactive L s1 T1 ->
Forever_reactive L s2 T2 ->
exists s', exists t, exists T1', exists T2',
t <> E0 /\
Forever_reactive L s' T1' /\
Forever_reactive L s' T2' /\
t1 *** T1 = t *** T1' /\
t2 *** T2 = t *** T2'.