Proof using.
red. unfold match_index_leader in *. simpl in *. intros.
repeat find_higher_order_rewrite.
destruct_update; simpl in *; eauto. congruence.
Qed.

(* Specifications: *)
Lemma match_index_leader_state_same_packet_subset :
raft_net_invariant_state_same_packet_subset match_index_leader.