Proof using.
red. unfold allEntries_leader_sublog. intros. simpl in *.
match goal with
| H : nwState ?net ?h = (?gd, ?d) |- _ =>
replace gd with (fst (nwState net h)) in * by (rewrite H; reflexivity);
replace d with (snd (nwState net h)) in * by (rewrite H; reflexivity);
clear H
end.
repeat find_higher_order_rewrite.
simpl in *.
destruct_update; simpl in *; eauto; congruence.
Qed.

Lemma allEntries_leader_sublog_state_same_packet_subset :
refined_raft_net_invariant_state_same_packet_subset allEntries_leader_sublog.