Associative Law of Multiplication

Theorem
On all the number systems:
 * natural numbers $\N$
 * integers $\Z$
 * rational numbers $\Q$
 * real numbers $\R$
 * complex numbers $\C$

the operation of multiplication is associative:


 * $a \times \paren {b \times c} = \paren {a \times b} \times c$

Proof
This is demonstrated in these pages:


 * Natural Number Multiplication is Associative
 * Integer Multiplication is Associative
 * Rational Multiplication is Associative
 * Real Multiplication is Associative
 * Complex Multiplication is Associative