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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 ≈ ω
2		endom	⊢ ( ℚ ≈ ω → ℚ ≼ ω )
3	1 2	ax-mp	⊢ ℚ ≼ ω