Intersection

Statement

The intersection of a non-empty set $S$ is the set $\bigcap S = \{ x \mid \forall X \in S, x \in X\}$. Often, the intersection of two sets $A$ and $B$ is denoted $A \cap S = \{x \mid x \in A$ and $x \in B\}$

Explanation

Proof(s)

History

Applications

Links

Dependencies

Dependents

• Disjoint Sets

Sources

• Hrbacek, K., & Jech, T. (1999). Introduction to Set Theory, Revised and Expanded (3rd ed.). CRC Press. https://doi.org/10.1201/9781315274096