Theorem zabscl

Description: The absolute value of an integer is an integer. (Contributed by Stefan O'Rear, 24-Sep-2014)

	Ref	Expression
Assertion	zabscl	$$⊢A\in \mathbb{Z}\to \left|A\right|\in \mathbb{Z}$$

Proof

Step	Hyp	Ref	Expression
1		nn0abscl	$$⊢A\in \mathbb{Z}\to \left|A\right|\in {\mathbb{N}}_0$$
2	1	nn0zd	$$⊢A\in \mathbb{Z}\to \left|A\right|\in \mathbb{Z}$$