Set Complement inverts Subsets/Corollary

Corollary to Complements invert Subsets
Let $S$ and $T$ be sets.

Then:
 * $S \subseteq \complement \left({T}\right) \iff T \subseteq \complement \left({S}\right)$

where:
 * $S \subseteq \complement \left({T}\right)$ denotes that $S$ is a subset of the set complement of $T$.