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Def/Maximal element

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Definition of Maximal element: Suppose that $(X, \leq)$ is a poset. A maximal element of $X$ is an element $m \in X$, such that: $$\forall x \in X, x \leq m.$$

Logical Connections

This definition logically relies on the following definitions and statements: Def/Partial order

The following statements and definitions logically rely on the material of this page: Def/Dedekind cut

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