Set Difference is Right Distributive over Set Intersection

Theorem
Let $R, S, T$ be sets.

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

where:
 * $R \cap S$ denotes set intersection
 * $R \setminus T$ denotes set difference.

That is, set difference is right distributive over set intersection.