# infix (&), infix ∩

Documentation for infix `(&), infix ∩`

assembled from the following types:

# language documentation Sets, bags, and mixes

## (Sets, bags, and mixes) infix (&), infix ∩

Returns the **intersection** of all of its arguments. More information, Wikipedia definition.

# language documentation Operators

From Operators

## (Operators) infix (&), infix ∩

multi sub infix:<(&)>(**)multi sub infix:<∩>(**)

Returns the **intersection** of all of its arguments. This creates a new Set that contains only the elements common to all of the arguments if none of the arguments are a Bag, BagHash, Mix or MixHash.

say <a b c> (&) <b c d>; # OUTPUT: «set(b c)»<a b c d> ∩ <b c d e> ∩ <c d e f>; # OUTPUT: «set(c d)»

If any of the arguments are Baggy or Mixy, the result is a new `Bag`

(or `Mix`

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

say <a a b c a> (&) bag(<a a b c c>); # OUTPUT: «Bag(a(2), b, c)»

`∩`

is equivalent to `(&)`

, at codepoint U+2229 (INTERSECTION).