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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 6377 | . 2 class 1o | |
2 | c0 3409 | . . 3 class ∅ | |
3 | 2 | csuc 4343 | . 2 class suc ∅ |
4 | 1, 3 | wceq 1343 | 1 wff 1o = suc ∅ |
Colors of variables: wff set class |
This definition is referenced by: 1on 6391 df1o2 6397 ordgt0ge1 6403 oa1suc 6435 1onn 6488 nnm1 6492 nlt1pig 7282 indpi 7283 1tonninf 10375 hash1 10724 012of 13875 2o01f 13876 pwle2 13878 isomninnlem 13909 iswomninnlem 13928 ismkvnnlem 13931 |
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