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Reference.org
Elementary class
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<p>In <a href="/facts/Model_theory/vLWVV8sQ">model theory</a>, a branch of <a href="/facts/Mathematical_logic/SaI7Y3wN">mathematical logic</a>, an elementary class (or axiomatizable class) is a <a href="/facts/Class_(set_theory)/F5EmDd9b">class</a> consisting of all <a href="/facts/Structure_(mathematical_logic)/GsMx1fEb">structures</a> satisfying a fixed <a href="/facts/First-order_logic/lcISqWIg">first-order</a> <a href="/facts/Theory_(mathematical_logic)/mYe5gQpI">theory</a>. </p>