 The split property is a kind of independence condition. Rédei (2010) argues that, by conforming to this and other independence conditions, an AQFT can meet all the requirements Einstein (1948) considered necessary for a quantum theory satisfactorily to realize the field-theoretic ideal. These were the requirement that physical things be arranged in a space-time continuum (Spatiotemporality); that things located in space-like separated regions have their own distinct states (Independence); and that if \(a, b\) are located in space-like separated regions \(A, B\) respectively, then an external influence on a has no immediate effect on b (Local Action).  (The first two names are Rédei’s: the last is Einstein’s.) Rédei takes AQFT to satisfy Spatiotemporality because of its basic assumption that observables are localized in space-time regions; that an AQFT’s satisfaction of the split property and other members of a hierarchy of independence conditions establishes Independence; and that an AQFT obeys Local Action insofar as it meets a condition he calls operational separability.