Hint Resolve @necR_refl.

(* Specifications: *)
Lemma necR_trans  {A} `{H : ageable A}:
forall phi1 phi2 phi3, necR phi1 phi2 -> necR phi2 phi3 -> necR phi1 phi3.
Lemma necR_laterR {A} `{agA : ageable A}:
forall w1 w2 w3, necR w1 w2 -> laterR w2 w3 -> laterR w1 w3.