Theorem qenom

Description: The set of rational numbers is equinumerous to omega (the set of finite ordinal numbers). (Contributed by Glauco Siliprandi, 24-Dec-2020)

	Ref	Expression
Assertion	qenom	$$⊢\mathbb{Q}\approx \mathrm{\omega }$$

Proof

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