De Morgan's Laws (Set Theory)/Set Complement/Family of Sets/Complement of Intersection

Theorem
Let $\family {S_i}_{i \mathop \in I}$ be a family of sets, all of which are subsets of a universe $\mathbb U$.

Then:
 * $\displaystyle \map \complement {\bigcap_{i \mathop \in I} S_i} = \bigcup_{i \mathop \in I} \map \complement {S_i}$

Also see

 * De Morgan's Laws (Set Theory)/Set Complement/Family of Sets/Complement of Union