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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 6476 | . 2 class 1o | |
| 2 | c0 3451 | . . 3 class ∅ | |
| 3 | 2 | csuc 4401 | . 2 class suc ∅ |
| 4 | 1, 3 | wceq 1364 | 1 wff 1o = suc ∅ |
| Colors of variables: wff set class |
| This definition is referenced by: 1on 6490 df1o2 6496 ordgt0ge1 6502 oa1suc 6534 1onn 6587 nnm1 6592 nlt1pig 7425 indpi 7426 1tonninf 10550 hash1 10920 012of 15724 2o01f 15725 pwle2 15729 isomninnlem 15761 iswomninnlem 15780 ismkvnnlem 15783 |
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