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 handleAppendEntries_type : forall h st t n pli plt es ci st' ps, handleAppendEntries h st t n pli plt es ci = (st', ps) -> (type st' = type st /\ currentTerm st' = currentTerm st /\ log st' = log st) \/ type st' = Follower.