Metamath Proof Explorer


Theorem nnct

Description: NN is countable. (Contributed by Thierry Arnoux, 29-Dec-2016)

Ref Expression
Assertion nnct
|- NN ~<_ _om

Proof

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