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

Proof

Step Hyp Ref Expression
1 qenom ℚ ≈ ω
2 endom ( ℚ ≈ ω → ℚ ≼ ω )
3 1 2 ax-mp ℚ ≼ ω