Theorem negsfn

Description: Surreal negation is a function over surreals. (Contributed by Scott Fenton, 20-Aug-2024)

	Ref	Expression
Assertion	negsfn	$$⊢{+}_{s}Fn\mathrm{No}$$

Proof

Step	Hyp	Ref	Expression
1		df-negs	$$⊢{+}_s={norec}_s\#A\#\left(\left(x\in \mathrm{V},n\in \mathrm{V}⟼n\left[R\left(x\right)\right]{|}_{s}n\left[L\left(x\right)\right]\right)\right)$$
2	1	norecfn	$$⊢{+}_{s}Fn\mathrm{No}$$