# Greatest element and least element

## Element ≥ (or ≤) each other element / From Wikipedia, the free encyclopedia

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In mathematics, especially in order theory, the **greatest element** of a subset $S$ of a partially ordered set (poset) is an element of $S$ that is greater than every other element of $S$. The term **least element** is defined dually, that is, it is an element of $S$ that is smaller than every other element of $S.$