Definition of "elementarily" [elementarily]

• In an elementary way. (adverb)

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• "(In the case of a complete theory, the models of different cardinality will be elementarily equivalent, even if they are non-isomorphic)."
• "Recalling that a complete theory T is one in which any sentence s, or its negation Not (s), belongs to the theory T, it follows that every model of a complete theory must be elementarily equivalent."
• "Whilst isomorphic models must be elementarily equivalent, there is no need for elementarily equivalent models to be isomorphic."