Natural Number Multiplication is Commutative

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


 * If two (natural) numbers by multiplying one another make certain numbers, the numbers so produced will be equal to one another.

Proof 1
Follows directly from the fact that the Natural Numbers form Commutative Semiring.