Union Distributes over Intersection

Theorem
Set union is distributive over set intersection:


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

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

Also see

 * Intersection Distributes over Union