# Absorption Laws (Set Theory)/Intersection with Union/Proof 1

$S \cap \paren {S \cup T} = S$
 $\displaystyle$  $\displaystyle S \subseteq \paren {S \cup T}$ Set is Subset of Union $\displaystyle$ $\leadsto$ $\displaystyle S \cap \paren {S \cup T} = S$ Intersection with Subset is Subset‎
$\blacksquare$