Ltac start :=
    red; unfold leaders_have_leaderLogs_strong; intros;
    subst; simpl in *; find_higher_order_rewrite;
    update_destruct; subst; rewrite_update; eauto; simpl in *.

Lemma handleAppendEntriesReply_type : forall h st h' t es r st' ms, handleAppendEntriesReply h st h' t es r = (st', ms) -> (type st' = type st /\ currentTerm st' = currentTerm st /\ log st' = log st) \/ type st' = Follower.