Definition df-0s 27756

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 27754	. 2 class 0s
2		c0 4286	. . 3 class ∅
3		cscut 27711	. . 3 class |s
4	2, 2, 3	co 7353	. 2 class (∅ |s ∅)
5	1, 4	wceq 1540	1 wff 0s = (∅ |s ∅)

This definition is referenced by:  0sno  27758  bday0s  27760  0slt1s  27761  bday0b  27762  made0  27805  negs0s  27955  muls01  28038  n0sfincut  28269