ThmDex – An index of mathematical definitions, results, and conjectures.
F6565
Formulation 0
Let $P = (X, {\preceq})$ be a D1707: Ordered set.
Let $\mathsf{Minimal}$ be the D4462: Set of minimal elements in $P$.
Let $\mathsf{Minimum}$ be the D4463: Set of minimum elements in $P$.
Then \begin{equation} \mathsf{Minimal} \subseteq \mathsf{Minimum} \end{equation}