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| Mirrors > Home > ILE Home > Th. List > df-3o | GIF version | ||
| Description: Define the ordinal number 3. (Contributed by Mario Carneiro, 14-Jul-2013.) |
| Ref | Expression |
|---|---|
| df-3o | ⊢ 3o = suc 2o |
| Step | Hyp | Ref | Expression |
|---|---|---|---|
| 1 | c3o 6641 | . 2 class 3o | |
| 2 | c2o 6640 | . . 3 class 2o | |
| 3 | 2 | csuc 4485 | . 2 class suc 2o |
| 4 | 1, 3 | wceq 1398 | 1 wff 3o = suc 2o |
| Colors of variables: wff set class |
| This definition is referenced by: 3on 6657 3onn 6754 pw1ne3 7539 pw1nel3 7540 sucpw1nel3 7542 3nelsucpw1 7543 3nsssucpw1 7545 onntri35 7546 hash3 11176 3dom 16754 |
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