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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 6674 | . 2 class 1o | |
| 2 | c0 3520 | . . 3 class ∅ | |
| 3 | 2 | csuc 4508 | . 2 class suc ∅ |
| 4 | 1, 3 | wceq 1402 | 1 wff 1o = suc ∅ |
| Colors of variables: wff set class |
| This definition is referenced by: 1on 6688 df1o2 6695 ordgt0ge1 6702 oa1suc 6734 1onn 6787 nnm1 6792 nlt1pig 7702 indpi 7703 1tonninf 10861 hash1 11235 012of 17006 2o01f 17007 pwle2 17011 isomninnlem 17053 iswomninnlem 17073 ismkvnnlem 17076 |
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