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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 27161 | . 2 class 0s | |
2 | c0 4282 | . . 3 class ∅ | |
3 | cscut 27122 | . . 3 class |s | |
4 | 2, 2, 3 | co 7357 | . 2 class (∅ |s ∅) |
5 | 1, 4 | wceq 1541 | 1 wff 0s = (∅ |s ∅) |
Colors of variables: wff setvar class |
This definition is referenced by: 0sno 27165 bday0s 27167 0slt1s 27168 bday0b 27169 made0 27203 negs0s 27325 muls01 34409 muls02 34410 |
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