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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 8396 | . 2 class 2o | |
| 2 | c1o 8395 | . . 3 class 1o | |
| 3 | 2 | csuc 6323 | . 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 8410 2on 8415 2on0 8416 ondif2 8434 o1p1e2 8472 o2p2e4 8473 oneo 8513 om2 8518 2onnALT 8576 1one2o 8579 nnm2 8586 nnneo 8588 nneob 8589 1sdom2ALT 9156 en2 9187 pm54.43 9922 en2eleq 9927 en2other2 9928 infxpenc 9937 infxpenc2 9941 dju1p1e2ALT 10094 fin1a2lem4 10322 cfpwsdom 10504 canthp1lem2 10573 pwxpndom2 10585 tsk2 10685 hash2 14364 f1otrspeq 19419 pmtrf 19427 pmtrmvd 19428 pmtrfinv 19433 efgmnvl 19686 isnzr2 20492 ltsval2 27617 nosgnn0 27619 ltssolem1 27636 nosepnelem 27640 nolt02o 27656 nogt01o 27657 bdaypw2n0bndlem 28452 unidifsnel 32602 unidifsnne 32603 r12 35235 ex-sategoelel12 35606 1oequni2o 37681 finxpreclem3 37706 finxpreclem4 37707 finxpsuclem 37710 finxp2o 37712 pw2f1ocnv 43462 pwfi2f1o 43521 oege2 43732 oaomoencom 43742 oaltom 43829 oe2 43830 omltoe 43831 nlim2NEW 43867 clsk1indlem1 44469 |
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