Ltac set_up_net_handlers :=
    intros;
    match goal with
      | [ H : context [ NetHandler (pDst ?p) _ _ _ ] |- _ ] =>
        destruct (pDst p) eqn:?
    end; simpl in *;
    [find_apply_lem_hyp ClientNetHandler_cases |
     find_apply_lem_hyp ServerNetHandler_cases; intuition; try break_exists ];
    intuition; subst;
    simpl in *; intuition;
    repeat find_rewrite;
    repeat find_inversion;
    simpl in *;
    try now rewrite update_nop_ext.

Lemma locks_correct_locked_at_head_preserved : forall sigma st' p, locks_correct_locked sigma p -> (forall c, at_head_of_queue sigma c -> at_head_of_queue (update name_eq_dec sigma Server st') c) -> locks_correct_locked (update name_eq_dec sigma Server st') p.