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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 6467 | . 2 class 1o | |
| 2 | c0 3450 | . . 3 class ∅ | |
| 3 | 2 | csuc 4400 | . 2 class suc ∅ |
| 4 | 1, 3 | wceq 1364 | 1 wff 1o = suc ∅ |
| Colors of variables: wff set class |
| This definition is referenced by: 1on 6481 df1o2 6487 ordgt0ge1 6493 oa1suc 6525 1onn 6578 nnm1 6583 nlt1pig 7408 indpi 7409 1tonninf 10533 hash1 10903 012of 15640 2o01f 15641 pwle2 15643 isomninnlem 15674 iswomninnlem 15693 ismkvnnlem 15696 |
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