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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 8389 | . 2 class 2o | |
| 2 | c1o 8388 | . . 3 class 1o | |
| 3 | 2 | csuc 6317 | . 2 class suc 1o |
| 4 | 1, 3 | wceq 1541 | 1 wff 2o = suc 1o |
| Colors of variables: wff setvar class |
| This definition is referenced by: df2o3 8403 2on 8408 2on0 8409 ondif2 8427 o1p1e2 8465 o2p2e4 8466 oneo 8506 om2 8511 2onnALT 8569 1one2o 8572 nnm2 8579 nnneo 8581 nneob 8582 1sdom2ALT 9147 en2 9178 pm54.43 9911 en2eleq 9916 en2other2 9917 infxpenc 9926 infxpenc2 9930 dju1p1e2ALT 10083 fin1a2lem4 10311 cfpwsdom 10493 canthp1lem2 10562 pwxpndom2 10574 tsk2 10674 hash2 14326 f1otrspeq 19374 pmtrf 19382 pmtrmvd 19383 pmtrfinv 19388 efgmnvl 19641 isnzr2 20449 sltval2 27622 nosgnn0 27624 sltsolem1 27641 nosepnelem 27645 nolt02o 27661 nogt01o 27662 bdaypw2n0s 28420 unidifsnel 32559 unidifsnne 32560 r12 35200 ex-sategoelel12 35570 1oequni2o 37512 finxpreclem3 37537 finxpreclem4 37538 finxpsuclem 37541 finxp2o 37543 pw2f1ocnv 43221 pwfi2f1o 43280 oege2 43491 oaomoencom 43501 oaltom 43588 oe2 43589 omltoe 43590 nlim2NEW 43626 clsk1indlem1 44228 |
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