Metamath Proof Explorer

Theorem sltlin

Description: Surreal less than obeys trichotomy. (Contributed by Scott Fenton, 16-Jun-2011)

Ref Expression
Assertion sltlin 
|- ( ( A e. No /\ B e. No ) -> ( A

Proof

Step Hyp Ref Expression
1 sltso 
 |-
2 solin 
 |-  ( (  ( A
3 1 2 mpan 
 |-  ( ( A e. No /\ B e. No ) -> ( A