Definition df-0s 27887

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 27885	. 2 class 0s
2		c0 4352	. . 3 class ∅
3		cscut 27845	. . 3 class |s
4	2, 2, 3	co 7448	. 2 class (∅ |s ∅)
5	1, 4	wceq 1537	1 wff 0s = (∅ |s ∅)

This definition is referenced by:  0sno  27889  bday0s  27891  0slt1s  27892  bday0b  27893  made0  27930  negs0s  28076  muls01  28156  nohalf  28425