Metamath Proof Explorer


Theorem rightnod

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

Ref Expression
Hypothesis rightel.1
|- ( ph -> A e. ( _Right ` B ) )
Assertion rightnod
|- ( ph -> A e. No )

Proof

Step Hyp Ref Expression
1 rightel.1
 |-  ( ph -> A e. ( _Right ` B ) )
2 rightno
 |-  ( A e. ( _Right ` B ) -> A e. No )
3 1 2 syl
 |-  ( ph -> A e. No )