Proof using.
start.
find_copy_apply_lem_hyp handleAppendEntries_type.
rewrite update_elections_data_appendEntries_leaderLogs.
intuition; try congruence; subst;
repeat find_rewrite; eauto.
Qed.

Lemma leaders_have_leaderLogs_strong_appendEntriesReply :
refined_raft_net_invariant_append_entries_reply leaders_have_leaderLogs_strong.