Theorem evenz

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

	Ref	Expression
Assertion	evenz	$$⊢Z\in \mathrm{Even}\to Z\in \mathbb{Z}$$

Proof

Step	Hyp	Ref	Expression
1		iseven	$$⊢Z\in \mathrm{Even}\leftrightarrow \left(Z\in \mathbb{Z}\wedge \frac{Z}{2}\in \mathbb{Z}\right)$$
2	1	simplbi	$$⊢Z\in \mathrm{Even}\to Z\in \mathbb{Z}$$