Definition df-0s 33659

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 33657	. 2 class 0s
2		c0 4211	. . 3 class ∅
3		cscut 33618	. . 3 class |s
4	2, 2, 3	co 7170	. 2 class (∅ |s ∅)
5	1, 4	wceq 1542	1 wff 0s = (∅ |s ∅)

This definition is referenced by:  0sno  33661  bday0s  33663  0slt1s  33664  bday0b  33665  made0  33695  negs0s  33762