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Metamath Proof Explorer

Theorem zabscl

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

		Ref	Expression
	Assertion	zabscl	$⊢ A \in ℤ \to \|A\| \in ℤ$

Step	Hyp	Ref	Expression
1		nn0abscl	$⊢ A \in ℤ \to \|A\| \in ℕ_{0}$
2	1	nn0zd	$⊢ A \in ℤ \to \|A\| \in ℤ$