# Category:Associativity

This category contains results about Associativity.
Definitions specific to this category can be found in Definitions/Associativity.

Let $S$ be a set.

Let $\circ : S \times S \to S$ be a binary operation.

Then $\circ$ is associative if and only if:

$\forall x, y, z \in S: \paren {x \circ y} \circ z = x \circ \paren {y \circ z}$

## Subcategories

This category has the following 8 subcategories, out of 8 total.