Definition:Set Ordered by Subset Relation

Definition
Let $S$ be a set.

Then $S$ ordered by the subset relation is the ordered set $\struct {S, \subseteq}$, where $\subseteq$ is the subset relation on $S$.

Also known as
Some sources use the term ordered by inclusion for ordered by the subset relation.

Also see

 * Subset Relation is Ordering
 * Subset Relation on Power Set is Partial Ordering