Metamath Proof Explorer


Definition df-nns

Description: Define the set of positive surreal integers. (Contributed by Scott Fenton, 17-Mar-2025)

Ref Expression
Assertion df-nns
|- NN_s = ( NN0_s \ { 0s } )

Detailed syntax breakdown

Step Hyp Ref Expression
0 cnns
 |-  NN_s
1 cnn0s
 |-  NN0_s
2 c0s
 |-  0s
3 2 csn
 |-  { 0s }
4 1 3 cdif
 |-  ( NN0_s \ { 0s } )
5 0 4 wceq
 |-  NN_s = ( NN0_s \ { 0s } )