Definition df-0s 27697

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 27695	. 2 class 0s
2		c0 4315	. . 3 class ∅
3		cscut 27655	. . 3 class |s
4	2, 2, 3	co 7402	. 2 class (∅ |s ∅)
5	1, 4	wceq 1533	1 wff 0s = (∅ |s ∅)

This definition is referenced by:  0sno  27699  bday0s  27701  0slt1s  27702  bday0b  27703  made0  27740  negs0s  27879  muls01  27952