# infix (&)

Documentation for infix `(&)`

assembled from the following types:

# language documentation Sets, Bags, and Mixes

## (Sets, Bags, and Mixes) infix (&)

only sub infix:<(&)>(**)

Intersection operator. It is of precedence "Junctive and".

Returns the **intersection** of all of its arguments. Generally, this creates a new `Set`

that contains only the elements common to all of the arguments.

<a b c> (&) <b c d> === set <b c><a b c d> (&) <b c d e> (&) <c d e f> === set <c d>

If any of the arguments are `Baggy`

, the result is a new `Bag`

containing the common elements, each weighted by the largest *common* weight (which is the minimum of the weights of that element over all arguments).

bag(<a a b c a>) (&) bag(<a a b c c>) === bag(<a a b c>)