Definition df-0s 28011

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 28009	. 2 class 0s
2		c0 4285	. . 3 class ∅
3		ccuts 27963	. . 3 class |s
4	2, 2, 3	co 7412	. 2 class (∅ |s ∅)
5	1, 4	wceq 1569	1 wff 0s = (∅ |s ∅)

This definition is used by:  0no  28013  bday0  28015  0lt1s  28016  bday0b  28017  rightge0  28025  made0  28067  neg0s  28230  muls01  28316  n0fincut  28559