Theorem 2ne0s

Description: Surreal two is non-zero. (Contributed by Scott Fenton, 23-Jul-2025)

	Ref	Expression
Assertion	2ne0s	|- 2s =/= 0s

Proof

Step	Hyp	Ref	Expression
1		2nns	|- 2s e. NN_s
2		nnne0s	|- ( 2s e. NN_s -> 2s =/= 0s )
3	1 2	ax-mp	|- 2s =/= 0s