Proof using.
red. unfold match_index_leader in *. simpl in *. intros.
repeat find_higher_order_rewrite.
destruct_update; simpl in *; eauto.
find_copy_apply_lem_hyp handleTimeout_matchIndex_preserved.
unfold matchIndex_preserved in *.
intuition; repeat find_rewrite; eauto.
Qed.

Lemma match_index_leader_do_leader :
raft_net_invariant_do_leader match_index_leader.