Metamath Proof Explorer


Theorem sgt0ne0

Description: A positive surreal is not equal to zero. (Contributed by Scott Fenton, 12-Mar-2025)

Ref Expression
Assertion sgt0ne0 0 s < s A A 0 s

Proof

Step Hyp Ref Expression
1 0sno 0 s No
2 sltne 0 s No 0 s < s A A 0 s
3 1 2 mpan 0 s < s A A 0 s