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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 6570 | . 2 class 1o | |
| 2 | c0 3492 | . . 3 class ∅ | |
| 3 | 2 | csuc 4460 | . 2 class suc ∅ |
| 4 | 1, 3 | wceq 1395 | 1 wff 1o = suc ∅ |
| Colors of variables: wff set class |
| This definition is referenced by: 1on 6584 df1o2 6591 ordgt0ge1 6598 oa1suc 6630 1onn 6683 nnm1 6688 nlt1pig 7554 indpi 7555 1tonninf 10696 hash1 11068 012of 16542 2o01f 16543 pwle2 16549 isomninnlem 16584 iswomninnlem 16603 ismkvnnlem 16606 |
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