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Greatest element and least element
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<p>In <a href="/facts/Mathematics/pxTouaz4">mathematics</a>, especially in <a href="/facts/Order_theory/gn6fM3oJ">order theory</a>, the greatest element of a subset S {\displaystyle S} of a <a href="/facts/Partially_ordered_set/qb4a3FAX">partially ordered set</a> (poset) is an element of S {\displaystyle S} that is greater than every other element of S {\displaystyle S} . The term least element is defined <a href="/facts/Duality_(order_theory)/TTTcqYQy">dually</a>, that is, it is an element of S {\displaystyle S} that is smaller than every other element of S . {\displaystyle S.} </p>