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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 6670 | . 2 class 1o | |
| 2 | c0 3520 | . . 3 class ∅ | |
| 3 | 2 | csuc 4505 | . 2 class suc ∅ |
| 4 | 1, 3 | wceq 1402 | 1 wff 1o = suc ∅ |
| Colors of variables: wff set class |
| This definition is referenced by: 1on 6684 df1o2 6691 ordgt0ge1 6698 oa1suc 6730 1onn 6783 nnm1 6788 nlt1pig 7698 indpi 7699 1tonninf 10856 hash1 11230 012of 16937 2o01f 16938 pwle2 16942 isomninnlem 16984 iswomninnlem 17004 ismkvnnlem 17007 |
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