Theorem rightnod

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

	Ref	Expression
Hypothesis	rightel.1	$$⊢\phi \to A\in R\left(B\right)$$
Assertion	rightnod	$$⊢\phi \to A\in \mathrm{No}$$

Proof

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