Axiom:Real Number as Complex Number

Axiom
Let $x \in \R$ be a real number.

Then:
 * $x = \left({x, 0}\right)$

where $\left({a, b}\right)$ where $a, b \in R$ denotes a complex number.

Also:
 * $x = x + 0 i$

where $a + b i$ where $a, b \in R$ denotes a complex number.