Notation getl := (getLocal).Notation gets := getStatelet.Notation getp := (@getProtocol _ w).Definition network_rely s1 s2 := exists n, network_rely' n s1 s2.

Lemma rely_loc s1 s2 l: network_rely s1 s2 -> find this (dstate (gets s1 l)) = find this (dstate (gets s2 l)).