Natural Number Multiplication is Associative/Proof 1

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
We have that the Natural Numbers are a Naturally Ordered Semigroup whose operation is addition.

The result follows from Multiplication in Naturally Ordered Semigroup is Associative.