Definition df-0s 28223

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 28221	. 2 class 0s
2		c0 4281	. . 3 class ∅
3		ccuts 28175	. . 3 class |s
4	2, 2, 3	co 7443	. 2 class (∅ |s ∅)
5	1, 4	wceq 1570	1 wff 0s = (∅ |s ∅)

This definition is used by:  0no  28225  bday0  28227  0lt1s  28228  bday0b  28229  rightge0  28237  made0  28279  neg0s  28442  muls01  28528  n0fincut  28771