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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 6315 | . 2 class suc 1o |
| 4 | 1, 3 | wceq 1548 | 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 9920 en2eleq 9925 en2other2 9926 infxpenc 9935 infxpenc2 9939 dju1p1e2ALT 10092 fin1a2lem4 10321 cfpwsdom 10503 canthp1lem2 10572 pwxpndom2 10584 tsk2 10684 hash2 14362 f1otrspeq 19416 pmtrf 19424 pmtrmvd 19425 pmtrfinv 19430 efgmnvl 19683 isnzr2 20493 ltsval2 27640 nosgnn0 27642 ltssolem1 27659 nosepnelem 27663 nolt02o 27679 nogt01o 27680 bdaypw2n0bndlem 28475 unidifsnel 32625 unidifsnne 32626 r12 35289 ex-sategoelel12 35668 1oequni2o 37743 finxpreclem3 37768 finxpreclem4 37769 finxpsuclem 37772 finxp2o 37774 pw2f1ocnv 43495 pwfi2f1o 43554 oege2 43765 oaomoencom 43775 oaltom 43862 oe2 43863 omltoe 43864 nlim2NEW 43900 clsk1indlem1 44502 |
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