Definition:Strictly Minimal Element

Definition
Let $\left({S, \mathcal R}\right)$ be a relational structure.

Let $T \subseteq S$ be a subset of $S$.

An element $x \in T$ is an $\mathcal R$-minimal element of $T$ iff:


 * $\forall y \in T: y \not\mathrel{\mathcal R} x$

Also see

 * Maximal: Relation