Proof using.
unfold raft_net_invariant_request_vote, nextIndex_safety.
simpl.
intros.
repeat find_higher_order_rewrite.
update_destruct_simplify.
- eauto using nextIndex_safety_preserved, handleRequestVote_nextIndex_preserved.
- auto.
Qed.

Lemma handleRequestVoteReply_matchIndex :
forall n st src t v,
type (handleRequestVoteReply n st src t v) = Leader ->
type st = Leader /\
nextIndex (handleRequestVoteReply n st src t v) =
nextIndex st \/
nextIndex (handleRequestVoteReply n st src t v) = [].