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Def/Minimal element
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Definition of Minimal element: Suppose that $(X, \leq)$ is a poset. A minimal element of $X$ is an element $m \in S$, such that: $$\forall x \in X, m \leq x.$$
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/Subfield, and Def/Well ordered
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