Metamath Proof Explorer


Theorem negsfn

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

Ref Expression
Assertion negsfn -us Fn No

Proof

Step Hyp Ref Expression
1 df-negs -us = norec ( ( 𝑥 ∈ V , 𝑛 ∈ V ↦ ( ( 𝑛 “ ( R ‘ 𝑥 ) ) |s ( 𝑛 “ ( L ‘ 𝑥 ) ) ) ) )
2 1 norecfn -us Fn No