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Metamath Proof Explorer

Theorem qct

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

		Ref	Expression
	Assertion	qct	$⊢ ℚ ≼ ω$

Step	Hyp	Ref	Expression
1		qenom	$⊢ ℚ \approx ω$
2		endom	$⊢ ℚ \approx ω \to ℚ ≼ ω$
3	1 2	ax-mp	$⊢ ℚ ≼ ω$