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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 6566 | . 2 class 1o | |
| 2 | c0 3491 | . . 3 class ∅ | |
| 3 | 2 | csuc 4457 | . 2 class suc ∅ |
| 4 | 1, 3 | wceq 1395 | 1 wff 1o = suc ∅ |
| Colors of variables: wff set class |
| This definition is referenced by: 1on 6580 df1o2 6587 ordgt0ge1 6594 oa1suc 6626 1onn 6679 nnm1 6684 nlt1pig 7544 indpi 7545 1tonninf 10680 hash1 11051 012of 16470 2o01f 16471 pwle2 16477 isomninnlem 16512 iswomninnlem 16531 ismkvnnlem 16534 |
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