Union Distributes over Intersection

Theorem
Set union is distributive over set intersection:


 * $R \cup \paren {S \cap T} = \paren {R \cup S} \cap \paren {R \cup T}$

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

Also see

 * Intersection Distributes over Union


 * Class Union Distributes over Class Intersection