# infix (^), infix ⊖

Documentation for infix `(^), infix ⊖`

assembled from the following types:

# language documentation Operators

From Operators

## (Operators) infix (^), infix ⊖

multi sub infix:<(^)>(, )multi sub infix:<⊖>(,)multi sub infix:<(^)>(**)multi sub infix:<⊖>(**)

Symmetric set difference operator.

Returns the **symmetric set difference** of all its arguments. This creates a new Set made up of all the elements that `$a`

has but `$b`

doesn't and all the elements `$b`

has but `$a`

doesn't if none of the arguments are a Bag, BagHash, Mix or MixHash. Equivalent to `($a ∖ $b) ∪ ($b ∖ $a)`

.

say <a b> (^) <b c>; # OUTPUT: «set(a c)»

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

(or `Mix`

).

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

`⊖`

is equivalent to `(^)`

, at codepoint U+2296 (CIRCLED MINUS).

# language documentation Sets, bags, and mixes

## (Sets, bags, and mixes) infix (^), infix ⊖

Returns the **symmetric set difference** of all its arguments. More information, Wikipedia definition.