Definition df-0s 27743

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 27741	. 2 class 0s
2		c0 4299	. . 3 class ∅
3		cscut 27701	. . 3 class |s
4	2, 2, 3	co 7390	. 2 class (∅ |s ∅)
5	1, 4	wceq 1540	1 wff 0s = (∅ |s ∅)

This definition is referenced by:  0sno  27745  bday0s  27747  0slt1s  27748  bday0b  27749  made0  27792  negs0s  27939  muls01  28022  n0sfincut  28253