Proof using rmri.
intros.
eapply lifted_committed_log_allEntries_preserved; eauto.
- intros. repeat find_higher_order_rewrite. update_destruct_simplify.
+ now erewrite handleTimeout_log_same by eauto.
+ auto.
- intros. repeat find_higher_order_rewrite. update_destruct_simplify.
+ now rewrite update_elections_data_timeout_allEntries.
+ auto.
Qed.

Lemma lifted_committed_monotonic :
forall net t t' e,
lifted_committed net e t ->
t <= t' ->
lifted_committed net e t'.