Nearby theorems
|
|
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 8465 | . 2 class 3o | |
| 2 | c2o 8464 | . . 3 class 2o | |
| 3 | 2 | csuc 6367 | . 2 class suc 2o |
| 4 | 1, 3 | wceq 1539 | 1 wff 3o = suc 2o |
| Colors of variables: wff setvar class |
| This definition is referenced by: ord3 8487 3on 8488 o2p2e4 8545 3onn 8647 en3 9286 hash3 14372 finxp3o 36586 df3o2 42367 df3o3 42368 omcl3g 42388 nlim3 42499 tr3dom 42583 har2o 42601 clsk1independent 43101 |
| Copyright terms: Public domain | W3C validator |