===== Arbitrary intersection =====
==== Set ====
| @#55CCEE: context     | @#55CCEE: $S$ |

| @#FFBB00: definiendum | @#FFBB00: $x\in \bigcap S$ |

| $X\in S$ | 

| @#55EE55: postulate   | @#55EE55: $ x\in X $ |

==== Discussion ====
This can be viewed as a version of [[intersection]], which however requires one more quantifier.
=== Reference ===
Wikipedia: [[http://en.wikipedia.org/wiki/Intersection_%28set_theory%29#Arbitrary_intersections|Arbitrary intersection]]

==== Parents ====
=== Context ===
[[Intersection]]