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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 6505 | . 2 class 1o | |
| 2 | c0 3462 | . . 3 class ∅ | |
| 3 | 2 | csuc 4417 | . 2 class suc ∅ |
| 4 | 1, 3 | wceq 1373 | 1 wff 1o = suc ∅ |
| Colors of variables: wff set class |
| This definition is referenced by: 1on 6519 df1o2 6525 ordgt0ge1 6531 oa1suc 6563 1onn 6616 nnm1 6621 nlt1pig 7467 indpi 7468 1tonninf 10599 hash1 10969 012of 16045 2o01f 16046 pwle2 16050 isomninnlem 16084 iswomninnlem 16103 ismkvnnlem 16106 |
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