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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 6462 | . 2 class 1o | |
2 | c0 3446 | . . 3 class ∅ | |
3 | 2 | csuc 4396 | . 2 class suc ∅ |
4 | 1, 3 | wceq 1364 | 1 wff 1o = suc ∅ |
Colors of variables: wff set class |
This definition is referenced by: 1on 6476 df1o2 6482 ordgt0ge1 6488 oa1suc 6520 1onn 6573 nnm1 6578 nlt1pig 7401 indpi 7402 1tonninf 10512 hash1 10882 012of 15486 2o01f 15487 pwle2 15489 isomninnlem 15520 iswomninnlem 15539 ismkvnnlem 15542 |
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