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Metamath Proof Explorer

Theorem qex

Description: The set of rational numbers exists. See also qexALT . (Contributed by NM, 30-Jul-2004) (Revised by Mario Carneiro, 17-Nov-2014)

		Ref	Expression
	Assertion	qex	⊢ ℚ ∈ V

Step	Hyp	Ref	Expression
1		cnex	⊢ ℂ ∈ V
2		qsscn	⊢ ℚ ⊆ ℂ
3	1 2	ssexi	⊢ ℚ ∈ V