Metamath Proof Explorer


Theorem sgt0ne0d

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

Ref Expression
Hypothesis sgt0ne0d.1 No typesetting found for |- ( ph -> 0s
Assertion sgt0ne0d Could not format assertion : No typesetting found for |- ( ph -> A =/= 0s ) with typecode |-

Proof

Step Hyp Ref Expression
1 sgt0ne0d.1 Could not format ( ph -> 0s 0s
2 sgt0ne0 Could not format ( 0s A =/= 0s ) : No typesetting found for |- ( 0s A =/= 0s ) with typecode |-
3 1 2 syl Could not format ( ph -> A =/= 0s ) : No typesetting found for |- ( ph -> A =/= 0s ) with typecode |-