Theorem qct

Description: The set of rational numbers is countable. (Contributed by Glauco Siliprandi, 24-Dec-2020)

	Ref	Expression
Assertion	qct	$$⊢\mathbb{Q}\preccurlyeq \mathrm{\omega }$$

Proof

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