Metamath Proof Explorer

Theorem qct

Description: The set of rational numbers is countable. (Contributed by Glauco Siliprandi, 24-Dec-2020)

Ref Expression
Assertion qct 
|- QQ ~<_ _om

Proof

Step Hyp Ref Expression
1 qenom 
 |-  QQ ~~ _om
2 endom 
 |-  ( QQ ~~ _om -> QQ ~<_ _om )
3 1 2 ax-mp 
 |-  QQ ~<_ _om