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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 6639 | . 2 class 1o | |
| 2 | c0 3507 | . . 3 class ∅ | |
| 3 | 2 | csuc 4485 | . 2 class suc ∅ |
| 4 | 1, 3 | wceq 1398 | 1 wff 1o = suc ∅ |
| Colors of variables: wff set class |
| This definition is referenced by: 1on 6653 df1o2 6660 ordgt0ge1 6667 oa1suc 6699 1onn 6752 nnm1 6757 nlt1pig 7655 indpi 7656 1tonninf 10802 hash1 11174 012of 16759 2o01f 16760 pwle2 16764 isomninnlem 16806 iswomninnlem 16826 ismkvnnlem 16829 |
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