Proof using.
red. red. intros. simpl in *.
find_reverse_rewrite. intuition eauto.
Qed.

(* Specifications: *)
Lemma no_append_entries_to_self_init :
raft_net_invariant_init no_append_entries_to_self.
Lemma no_append_entries_replies_to_self_init :
raft_net_invariant_init no_append_entries_replies_to_self.