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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 6561 | . 2 class 1o | |
| 2 | c0 3491 | . . 3 class ∅ | |
| 3 | 2 | csuc 4456 | . 2 class suc ∅ |
| 4 | 1, 3 | wceq 1395 | 1 wff 1o = suc ∅ |
| Colors of variables: wff set class |
| This definition is referenced by: 1on 6575 df1o2 6582 ordgt0ge1 6589 oa1suc 6621 1onn 6674 nnm1 6679 nlt1pig 7536 indpi 7537 1tonninf 10671 hash1 11041 012of 16386 2o01f 16387 pwle2 16393 isomninnlem 16428 iswomninnlem 16447 ismkvnnlem 16450 |
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