Natural Number Multiplication is Associative

Theorem
The operation of multiplication on the set of natural numbers $$\N$$ is associative:


 * $$\forall x, y, z \in \N: \left({x \times y}\right) \times z = x \times \left({y \times z}\right)$$

Proof
Follows directly from the fact that the Natural Numbers form Commutative Semiring.