Theorem leftnod

Description: An element of a left set is a surreal. (Contributed by Scott Fenton, 27-Feb-2026)

	Ref	Expression
Hypothesis	leftel.1	⊢ ( 𝜑 → 𝐴 ∈ ( L ‘ 𝐵 ) )
Assertion	leftnod	⊢ ( 𝜑 → 𝐴 ∈ No )

Proof

Step	Hyp	Ref	Expression
1		leftel.1	⊢ ( 𝜑 → 𝐴 ∈ ( L ‘ 𝐵 ) )
2		leftno	⊢ ( 𝐴 ∈ ( L ‘ 𝐵 ) → 𝐴 ∈ No )
3	1 2	syl	⊢ ( 𝜑 → 𝐴 ∈ No )