= Mahler's compactness theorem
{wiki=Mahler's_compactness_theorem}
Mahler's compactness theorem is a result in the field of mathematical logic, specifically in model theory. The theorem deals with the idea of compactness in relation to sets of first-order sentences. It essentially states that if every finite subset of a set of first-order sentences is satisfiable (i.e., there exists a model that satisfies all the sentences in that finite subset), then the entire set of sentences is also satisfiable.
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