Intersection Distributes over Union

Theorem
Set intersection is distributive over set union:


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

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

Also see

 * Union Distributes over Intersection


 * Class Intersection Distributes over Class Union