Lemma handleClientRequest_log_ind : forall {h st client id c out st' ps}, handleClientRequest h st client id c = (out, st', ps) -> forall (P : list entry -> Prop), P (log st) -> (forall e, eIndex e = S (maxIndex (log st)) -> eTerm e = currentTerm st -> eClient e = client -> eInput e = c -> eId e = id -> type st = Leader -> P (e :: log st)) -> P (log st').