Proof using.
intros. unfold handleAppendEntriesReply, advanceCurrentTerm in *.
repeat break_match; tuple_inversion; do_bool; intuition.
Qed.

Lemma handleRequestVote_type :
forall st h h' t lli llt st' m,
handleRequestVote h st t h' lli llt = (st', m) ->
(type st' = type st /\ currentTerm st' = currentTerm st) \/
type st' = Follower.