# Category:Prime Elements

This category contains results about Prime Elements in the context of Order Theory.

Let $\left({S, \wedge, \preceq}\right)$ be a meet semilattice.

Let $p \in S$.

Then $p$ is prime (element) if and only if

$\forall x, y \in S: \left({ x \wedge y \preceq p \implies x \preceq p \lor y \preceq p }\right)$

## Pages in category "Prime Elements"

The following 19 pages are in this category, out of 19 total.