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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 6685 | . 2 class 1o | |
| 2 | c0 3520 | . . 3 class ∅ | |
| 3 | 2 | csuc 4512 | . 2 class suc ∅ |
| 4 | 1, 3 | wceq 1402 | 1 wff 1o = suc ∅ |
| Colors of variables: wff set class |
| This definition is used by: 1on 6699 df1o2 6706 ordgt0ge1 6713 oa1suc 6745 1onn 6798 nnm1 6803 nlt1pig 7713 indpi 7714 1tonninf 10897 hash1 11272 012of 17237 2o01f 17238 pwle2 17242 isomninnlem 17294 iswomninnlem 17315 ismkvnnlem 17318 |
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