Definition:Class Intersection/Class of Sets

Definition
Let $A$ be a class.

The intersection of $A$ is:
 * $\bigcap A := \set {x: \forall y \in A: x \in y}$

That is, the class of all objects which belong to all the elements of $A$.

Also see

 * Intersection of Class Exists and is Unique
 * Intersection of Non-Empty Class is Set
 * Intersection of Doubleton