| Metamath Proof Explorer |
< Previous
Next >
Nearby theorems |
||
| Mirrors > Home > MPE Home > Th. List > df-3o | Structured version Visualization version 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 8402 | . 2 class 3o | |
| 2 | c2o 8401 | . . 3 class 2o | |
| 3 | 2 | csuc 6327 | . 2 class suc 2o |
| 4 | 1, 3 | wceq 1542 | 1 wff 3o = suc 2o |
| Colors of variables: wff setvar class |
| This definition is referenced by: ord3 8422 3on 8423 o2p2e4 8478 3onn 8582 en3 9193 hash3 14341 finxp3o 37655 df3o2 43670 df3o3 43671 omcl3g 43691 nlim3 43800 tr3dom 43884 har2o 43902 clsk1independent 44402 |
| Copyright terms: Public domain | W3C validator |