Metamath Proof Explorer

Theorem n0sex

Description: The set of all non-negative surreal integers exists. (Contributed by Scott Fenton, 17-Mar-2025)

Ref Expression
Assertion n0sex 
|- NN0_s e. _V

Proof

Step Hyp Ref Expression
1 omex 
 |-  _om e. _V
2 n0sexg 
 |-  ( _om e. _V -> NN0_s e. _V )
3 1 2 ax-mp 
 |-  NN0_s e. _V