Theorem zct

Description: The set of integer numbers is countable. (Contributed by Glauco Siliprandi, 17-Aug-2020)

	Ref	Expression
Assertion	zct	$$⊢\mathbb{Z}\preccurlyeq \mathrm{\omega }$$

Proof

Step	Hyp	Ref	Expression
1		zenom	$$⊢\mathbb{Z}\approx \mathrm{\omega }$$
2		endom	$$⊢\mathbb{Z}\approx \mathrm{\omega }\to \mathbb{Z}\preccurlyeq \mathrm{\omega }$$
3	1 2	ax-mp	$$⊢\mathbb{Z}\preccurlyeq \mathrm{\omega }$$