Abstract
Following Robinson [3], we say that a first-order sentence S is persistent with respect to a set of sentences K if, whenever S is true in a model M of K, then S is true in every extension of M that is also a model of K. Robinson proved in [3] that:(T) In order that the sentence S be persistent with respect to the set K it is necessary and sufficient that there be some existential sentence Y such that the sentence S↔Y is deducible from K.
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