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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 6680 | . 2 class 1o | |
| 2 | c0 3520 | . . 3 class ∅ | |
| 3 | 2 | csuc 4510 | . 2 class suc ∅ |
| 4 | 1, 3 | wceq 1402 | 1 wff 1o = suc ∅ |
| Colors of variables: wff set class |
| This definition is used by: 1on 6694 df1o2 6701 ordgt0ge1 6708 oa1suc 6740 1onn 6793 nnm1 6798 nlt1pig 7709 indpi 7710 1tonninf 10892 hash1 11267 012of 17145 2o01f 17146 pwle2 17150 isomninnlem 17201 iswomninnlem 17221 ismkvnnlem 17224 |
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