===== Intersection =====
==== Set ====
| @#55CCEE: context     | @#55CCEE: $X,Y\in\mathfrak U$ |
| @#FFBB00: definiendum | @#FFBB00: $ x\in X \cap Y $ |
| @#55EE55: postulate   | @#55EE55: $ x\in X \cap Y \Leftrightarrow (x\in X\land x\in Y) $ |

==== Discussion ====
$ X \cap Y $ is commutative and idempotent.

The intersection and [[union]] are associative and distributive with respect to another.
=== Reference ===
Wikipedia: [[http://en.wikipedia.org/wiki/Intersection_%28set_theory%29|Intersection]]
==== Parents ====
=== Element of ===
[[Set universe]]
=== Context* ===
[[Set universe]]