Theorem zenom

Description: The set of integer numbers is equinumerous to omega (the set of finite ordinal numbers). (Contributed by Glauco Siliprandi, 17-Aug-2020)

	Ref	Expression
Assertion	zenom	$$⊢\mathbb{Z}\approx \mathrm{\omega }$$

Proof

Step	Hyp	Ref	Expression
1		znnen	$$⊢\mathbb{Z}\approx \mathbb{N}$$
2		nnenom	$$⊢\mathbb{N}\approx \mathrm{\omega }$$
3	1 2	entri	$$⊢\mathbb{Z}\approx \mathrm{\omega }$$