Definition df-0s 27787

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 27785	. 2 class 0s
2		c0 4274	. . 3 class ∅
3		ccuts 27739	. . 3 class |s
4	2, 2, 3	co 7358	. 2 class (∅ |s ∅)
5	1, 4	wceq 1542	1 wff 0s = (∅ |s ∅)

This definition is referenced by:  0no  27789  bday0  27791  0lt1s  27792  bday0b  27793  rightge0  27801  made0  27843  neg0s  28006  muls01  28092  n0fincut  28335