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| Mirrors > Home > MPE Home > Th. List > df-2o | Structured version Visualization version GIF version | ||
| Description: Define the ordinal number 2. Lemma 3.17 of [Schloeder] p. 10. (Contributed by NM, 18-Feb-2004.) |
| Ref | Expression |
|---|---|
| df-2o | ⊢ 2o = suc 1o |
| Step | Hyp | Ref | Expression |
|---|---|---|---|
| 1 | c2o 8403 | . 2 class 2o | |
| 2 | c1o 8402 | . . 3 class 1o | |
| 3 | 2 | csuc 6329 | . 2 class suc 1o |
| 4 | 1, 3 | wceq 1542 | 1 wff 2o = suc 1o |
| Colors of variables: wff setvar class |
| This definition is referenced by: df2o3 8417 2on 8422 2on0 8423 ondif2 8441 o1p1e2 8479 o2p2e4 8480 oneo 8520 om2 8525 2onnALT 8583 1one2o 8586 nnm2 8593 nnneo 8595 nneob 8596 1sdom2ALT 9163 en2 9194 pm54.43 9927 en2eleq 9932 en2other2 9933 infxpenc 9942 infxpenc2 9946 dju1p1e2ALT 10099 fin1a2lem4 10327 cfpwsdom 10509 canthp1lem2 10578 pwxpndom2 10590 tsk2 10690 hash2 14342 f1otrspeq 19393 pmtrf 19401 pmtrmvd 19402 pmtrfinv 19407 efgmnvl 19660 isnzr2 20468 ltsval2 27641 nosgnn0 27643 ltssolem1 27660 nosepnelem 27664 nolt02o 27680 nogt01o 27681 bdaypw2n0bndlem 28476 unidifsnel 32628 unidifsnne 32629 r12 35278 ex-sategoelel12 35649 1oequni2o 37650 finxpreclem3 37675 finxpreclem4 37676 finxpsuclem 37679 finxp2o 37681 pw2f1ocnv 43423 pwfi2f1o 43482 oege2 43693 oaomoencom 43703 oaltom 43790 oe2 43791 omltoe 43792 nlim2NEW 43828 clsk1indlem1 44430 |
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