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| Mirrors > Home > ILE Home > Th. List > df-1o | GIF version | ||
| Description: Define the ordinal number 1. (Contributed by NM, 29-Oct-1995.) |
| Ref | Expression |
|---|---|
| df-1o | ⊢ 1o = suc ∅ |
| Step | Hyp | Ref | Expression |
|---|---|---|---|
| 1 | c1o 6545 | . 2 class 1o | |
| 2 | c0 3491 | . . 3 class ∅ | |
| 3 | 2 | csuc 4453 | . 2 class suc ∅ |
| 4 | 1, 3 | wceq 1395 | 1 wff 1o = suc ∅ |
| Colors of variables: wff set class |
| This definition is referenced by: 1on 6559 df1o2 6565 ordgt0ge1 6571 oa1suc 6603 1onn 6656 nnm1 6661 nlt1pig 7516 indpi 7517 1tonninf 10650 hash1 11020 012of 16288 2o01f 16289 pwle2 16295 isomninnlem 16329 iswomninnlem 16348 ismkvnnlem 16351 |
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