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:


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

Also see

 * Identity Element of Addition on Numbers