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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 8393 | . 2 class 2o | |
| 2 | c1o 8392 | . . 3 class 1o | |
| 3 | 2 | csuc 6320 | . 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 8407 2on 8412 2on0 8413 ondif2 8431 o1p1e2 8469 o2p2e4 8470 oneo 8510 om2 8515 2onnALT 8573 1one2o 8576 nnm2 8583 nnneo 8585 nneob 8586 1sdom2ALT 9153 en2 9184 pm54.43 9917 en2eleq 9922 en2other2 9923 infxpenc 9932 infxpenc2 9936 dju1p1e2ALT 10089 fin1a2lem4 10317 cfpwsdom 10499 canthp1lem2 10568 pwxpndom2 10580 tsk2 10680 hash2 14332 f1otrspeq 19380 pmtrf 19388 pmtrmvd 19389 pmtrfinv 19394 efgmnvl 19647 isnzr2 20455 ltsval2 27628 nosgnn0 27630 ltssolem1 27647 nosepnelem 27651 nolt02o 27667 nogt01o 27668 bdaypw2n0bndlem 28463 unidifsnel 32613 unidifsnne 32614 r12 35253 ex-sategoelel12 35623 1oequni2o 37575 finxpreclem3 37600 finxpreclem4 37601 finxpsuclem 37604 finxp2o 37606 pw2f1ocnv 43346 pwfi2f1o 43405 oege2 43616 oaomoencom 43626 oaltom 43713 oe2 43714 omltoe 43715 nlim2NEW 43751 clsk1indlem1 44353 |
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