Set Difference is Right Distributive over Union

Theorem
Set difference is right distributive over union.

Let $R, S, T$ be sets.

Then:
 * $\left({R \cup S}\right) \setminus T = \left({R \setminus T}\right) \cup \left({S \setminus T}\right)$

where:
 * $R \setminus S$ denotes set difference;
 * $R \cup T$ denotes set union.