Identity Element of Multiplication on Numbers

Theorem
On all the number systems: the identity element of multiplication is one ($1$).
 * natural numbers $$\N$$
 * integers $$\Z$$
 * rational numbers $$\Q$$
 * real numbers $$\R$$
 * complex numbers $$\C$$

Proof
This is demonstrated in these pages:


 * Natural Number Multiplication Identity is One
 * Integer Multiplication Identity is One
 * Rational Multiplication Identity is One
 * Real Multiplication Identity is One
 * Complex Multiplication Identity is One