Theorem leftnod

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

	Ref	Expression
Hypothesis	leftel.1	$$⊢\phi \to A\in L\left(B\right)$$
Assertion	leftnod	$$⊢\phi \to A\in \mathrm{No}$$

Proof

Step	Hyp	Ref	Expression
1		leftel.1	$$⊢\phi \to A\in L\left(B\right)$$
2		leftno	$$⊢A\in L\left(B\right)\to A\in \mathrm{No}$$
3	1 2	syl	$$⊢\phi \to A\in \mathrm{No}$$