Metamath Proof Explorer

Theorem nnn0s

Description: A positive surreal integer is a non-negative surreal integer. (Contributed by Scott Fenton, 26-May-2025)

Ref Expression
Assertion nnn0s 
|- ( A e. NN_s -> A e. NN0_s )

Proof

Step Hyp Ref Expression
1 nnssn0s 
 |-  NN_s C_ NN0_s
2 1 sseli 
 |-  ( A e. NN_s -> A e. NN0_s )