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

Proof

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