# Integer Divisor Results/One Divides all Integers

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## Theorem

Let $n \in \Z$ be an integer.

Then:

 $\ds 1$ $\divides$ $\ds n$ $\ds -1$ $\divides$ $\ds n$

where $\divides$ denotes divisibility.

## Proof

From Integers form Integral Domain, the concept divisibility is fully applicable to the integers.

Therefore this result follows directly from Unity Divides All Elements.

$\blacksquare$