Metamath Proof Explorer


Theorem n0zsd

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

Ref Expression
Hypothesis n0zsd.1
|- ( ph -> A e. NN0_s )
Assertion n0zsd
|- ( ph -> A e. ZZ_s )

Proof

Step Hyp Ref Expression
1 n0zsd.1
 |-  ( ph -> A e. NN0_s )
2 n0zs
 |-  ( A e. NN0_s -> A e. ZZ_s )
3 1 2 syl
 |-  ( ph -> A e. ZZ_s )