Definition df-0s 27808

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.)

Assertion

Ref	Expression
df-0s	⊢ 0s = (∅ |s ∅)

Detailed syntax breakdown of Definition df-0s

Step	Hyp	Ref	Expression
1		c0s 27806	. 2 class 0s
2		c0 4286	. . 3 class ∅
3		ccuts 27760	. . 3 class |s
4	2, 2, 3	co 7361	. 2 class (∅ |s ∅)
5	1, 4	wceq 1542	1 wff 0s = (∅ |s ∅)

This definition is referenced by:  0no  27810  bday0  27812  0lt1s  27813  bday0b  27814  rightge0  27822  made0  27864  neg0s  28027  muls01  28113  n0fincut  28356