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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 6618 | . 2 class 1o | |
| 2 | c0 3496 | . . 3 class ∅ | |
| 3 | 2 | csuc 4468 | . 2 class suc ∅ |
| 4 | 1, 3 | wceq 1398 | 1 wff 1o = suc ∅ |
| Colors of variables: wff set class |
| This definition is referenced by: 1on 6632 df1o2 6639 ordgt0ge1 6646 oa1suc 6678 1onn 6731 nnm1 6736 nlt1pig 7604 indpi 7605 1tonninf 10747 hash1 11119 012of 16693 2o01f 16694 pwle2 16700 isomninnlem 16742 iswomninnlem 16762 ismkvnnlem 16765 |
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