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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 8401 | . 2 class 2o | |
| 2 | c1o 8400 | . . 3 class 1o | |
| 3 | 2 | csuc 6327 | . 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 8415 2on 8420 2on0 8421 ondif2 8439 o1p1e2 8477 o2p2e4 8478 oneo 8518 om2 8523 2onnALT 8581 1one2o 8584 nnm2 8591 nnneo 8593 nneob 8594 1sdom2ALT 9161 en2 9192 pm54.43 9927 en2eleq 9932 en2other2 9933 infxpenc 9942 infxpenc2 9946 dju1p1e2ALT 10099 fin1a2lem4 10327 cfpwsdom 10509 canthp1lem2 10578 pwxpndom2 10590 tsk2 10690 hash2 14369 f1otrspeq 19424 pmtrf 19432 pmtrmvd 19433 pmtrfinv 19438 efgmnvl 19691 isnzr2 20497 ltsval2 27622 nosgnn0 27624 ltssolem1 27641 nosepnelem 27645 nolt02o 27661 nogt01o 27662 bdaypw2n0bndlem 28457 unidifsnel 32607 unidifsnne 32608 r12 35240 ex-sategoelel12 35611 1oequni2o 37686 finxpreclem3 37711 finxpreclem4 37712 finxpsuclem 37715 finxp2o 37717 pw2f1ocnv 43467 pwfi2f1o 43526 oege2 43737 oaomoencom 43747 oaltom 43834 oe2 43835 omltoe 43836 nlim2NEW 43872 clsk1indlem1 44474 |
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