![]() |
Metamath Proof Explorer |
< Previous
Next >
Nearby theorems |
|
Mirrors > Home > MPE Home > Th. List > df-0s | Structured version Visualization version GIF version |
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.) |
Ref | Expression |
---|---|
df-0s | ⊢ 0s = (∅ |s ∅) |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | c0s 27183 | . 2 class 0s | |
2 | c0 4283 | . . 3 class ∅ | |
3 | cscut 27144 | . . 3 class |s | |
4 | 2, 2, 3 | co 7358 | . 2 class (∅ |s ∅) |
5 | 1, 4 | wceq 1542 | 1 wff 0s = (∅ |s ∅) |
Colors of variables: wff setvar class |
This definition is referenced by: 0sno 27187 bday0s 27189 0slt1s 27190 bday0b 27191 made0 27225 negs0s 27347 muls01 27397 muls02 27398 |
Copyright terms: Public domain | W3C validator |