Natural Number Multiplication is Commutative

Theorem
The operation of multiplication on the set of natural numbers $\N$ is commutative:
 * $\forall x, y \in \N: x \times y = y \times x$

Proof 3
In the Axiomatization of 1-Based Natural Numbers, this is rendered:
 * $\forall x, y \in \N_{> 0}: x \times y = y \times x$