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Metamath Proof Explorer

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	⊢ ℚ ≈ ω

Proof

Step	Hyp	Ref	Expression
1		qnnen	⊢ ℚ ≈ ℕ
2		nnenom	⊢ ℕ ≈ ω
3	1 2	entri	⊢ ℚ ≈ ω