Lemma doGenericServer_preserves_candidateEntriesTerm : forall net gd d h os d' ms t, nwState net h = (gd, d) -> doGenericServer h d = (os, d', ms) -> candidateEntriesTerm t (nwState net) -> candidateEntriesTerm t (update name_eq_dec (nwState net) h (gd, d')).