Definition df-0s 27870

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 27868	. 2 class 0s
2		c0 4332	. . 3 class ∅
3		cscut 27828	. . 3 class |s
4	2, 2, 3	co 7432	. 2 class (∅ |s ∅)
5	1, 4	wceq 1539	1 wff 0s = (∅ |s ∅)

This definition is referenced by:  0sno  27872  bday0s  27874  0slt1s  27875  bday0b  27876  made0  27913  negs0s  28059  muls01  28139  nohalf  28408