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Mirrors > Home > MPE Home > Th. List > df-2s | Structured version Visualization version GIF version |
Description: Define surreal two. This is the simplest number greater than one. See 1p1e2s 28409 for its addition version. (Contributed by Scott Fenton, 27-May-2025.) |
Ref | Expression |
---|---|
df-2s | ⊢ 2s = ({ 1s } |s ∅) |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | c2s 28403 | . 2 class 2s | |
2 | c1s 27877 | . . . 4 class 1s | |
3 | 2 | csn 4648 | . . 3 class { 1s } |
4 | c0 4347 | . . 3 class ∅ | |
5 | cscut 27836 | . . 3 class |s | |
6 | 3, 4, 5 | co 7445 | . 2 class ({ 1s } |s ∅) |
7 | 1, 6 | wceq 1537 | 1 wff 2s = ({ 1s } |s ∅) |
Colors of variables: wff setvar class |
This definition is referenced by: 1p1e2s 28409 |
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