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 ∈ ℕs
2		nnne0s	⊢ ( 2s ∈ ℕs → 2s ≠ 0s )
3	1 2	ax-mp	⊢ 2s ≠ 0s