Set Difference is Right Distributive over Union

Theorem
Set difference is right distributive over union.

Let $R, S, T$ be sets.

Then:
 * $\paren {R \cup S} \setminus T = \paren {R \setminus T} \cup \paren {S \setminus T}$

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