Divisor Relation is Antisymmetric/Corollary/Proof 1

Corollary to Divisor Relation is Antisymmetric
Let $a, b \in \Z$.

If $a \mathrel \backslash b$ and $b \mathrel \backslash a$ then $a = b$ or $a = -b$.

Proof
Let $a \mathrel \backslash b$ and $b \mathrel \backslash a$.

Then from Divisor Relation is Antisymmetric:
 * $\left\vert{a}\right\vert = \left\vert{b}\right\vert$

The result follows from Integer Divides its Negative and Integer Divides its Absolute Value.