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

Lemma commit_invariant_append_entries_reply :
msg_refined_raft_net_invariant_append_entries_reply commit_invariant.