Intersection Distributes over Union

Theorem
Set intersection is distributive over set union:


 * $R \cap \left({S \cup T}\right) = \left({R \cap S}\right) \cup \left({R \cap T}\right)$

Also known as
This result and Union Distributes over Intersection are together known as the Distributive Laws.

Also see

 * Union Distributes over Intersection