Metamath Proof Explorer


Definition df-0s

Description: Define surreal zero. This is the simplest cut of surreal number sets. Definition from Conway p. 17. (Contributed by Scott Fenton, 7-Aug-2024)

Ref Expression
Assertion df-0s
|- 0s = ( (/) |s (/) )

Detailed syntax breakdown

Step Hyp Ref Expression
0 c0s
 |-  0s
1 c0
 |-  (/)
2 cscut
 |-  |s
3 1 1 2 co
 |-  ( (/) |s (/) )
4 0 3 wceq
 |-  0s = ( (/) |s (/) )