Proof using.
unfold refined_raft_net_invariant_append_entries_reply, allEntries_leaderLogs_term.
simpl.
intros.
repeat find_higher_order_rewrite.
destruct_update.
- simpl in *. find_apply_hyp_hyp.
intuition.
right.
break_exists_exists.
find_higher_order_rewrite.
destruct_update.
+ simpl in *. auto.
+ intuition.
- find_apply_hyp_hyp.
intuition.
right.
break_exists_exists.
find_higher_order_rewrite.
destruct_update.
+ simpl in *. auto.
+ intuition.
Qed.

Lemma allEntries_leaderLogs_term_request_vote :
refined_raft_net_invariant_request_vote allEntries_leaderLogs_term.