Hasse Diagram/Examples

Definition
These are examples of Hasse diagrams:
 * Hasse-Diagram-DivisorsOf24.png $\qquad$ Hasse-Diagram-SubsetsOf123.png
 * Hasse-Diagram-DivisorsOf24.png $\qquad$ Hasse-Diagram-SubsetsOf123.png

The diagram on the left illustrates the "Divisor" ordering on the set $S = \set {1, 2, 3, 4, 6, 8, 12, 24}$ where $S$ is the set of all elements of $\N_{>0}$ which divide $24$.

The diagram on the right illustrates the "Subset" relation on the power set $\powerset S$ where $S = \set {1, 2, 3}$.