Proof using.
unfold refined_raft_net_invariant_append_entries_reply, appendEntries_leader.
simpl.
intros.
find_apply_hyp_hyp.
intuition.
- repeat find_higher_order_rewrite.
update_destruct_simplify.
+ eapply appendEntries_leader_predicate_TTLM_preserved; eauto using handleAppendEntriesReply_TTLM.
eauto.
+ eauto.
- find_apply_lem_hyp handleAppendEntriesReply_packets.
subst. simpl in *. intuition.
Qed.

Lemma handleRequestVote_TTLM :
forall st h h' t lli llt st' m,
handleRequestVote h st t h' lli llt = (st', m) ->
type_term_log_monotonic st st'.