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Metamath Proof Explorer

Theorem evenz

Description: An even number is an integer. (Contributed by AV, 14-Jun-2020)

		Ref	Expression
	Assertion	evenz	$⊢ Z \in Even \to Z \in ℤ$

Step	Hyp	Ref	Expression
1		iseven	$⊢ Z \in Even \leftrightarrow (Z \in ℤ \land \frac{Z}{2} \in ℤ)$
2	1	simplbi	$⊢ Z \in Even \to Z \in ℤ$