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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 7708 indpi 7709 1tonninf 10880 hash1 11254 012of 17035 2o01f 17036 pwle2 17040 isomninnlem 17091 iswomninnlem 17111 ismkvnnlem 17114 |
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