Proof using.
red. unfold ghost_log_correct. intros. simpl in *.
find_apply_hyp_hyp; intuition; eauto.
subst. simpl in *.
subst.
find_apply_lem_hyp handleAppendEntries_not_append_entries.
intuition. find_false.
repeat eexists; eauto.
Qed.

Lemma ghost_log_correct_append_entries_reply :
msg_refined_raft_net_invariant_append_entries_reply ghost_log_correct.