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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 6017 | . 2 class 1𝑜 | |
| 2 | c0 3251 | . . 3 class ∅ | |
| 3 | 2 | csuc 4120 | . 2 class suc ∅ |
| 4 | 1, 3 | wceq 1284 | 1 wff 1𝑜 = suc ∅ |
| Colors of variables: wff set class |
| This definition is referenced by: 1on 6031 df1o2 6036 ordgt0ge1 6041 oa1suc 6070 1onn 6116 nnm1 6120 nlt1pig 6531 indpi 6532 |
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