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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 8388 | . 2 class 2o | |
| 2 | c1o 8387 | . . 3 class 1o | |
| 3 | 2 | csuc 6314 | . 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 8402 2on 8407 2on0 8408 ondif2 8426 o1p1e2 8464 o2p2e4 8465 oneo 8505 om2 8510 2onnALT 8568 1one2o 8571 nnm2 8578 nnneo 8580 nneob 8581 1sdom2ALT 9148 en2 9179 pm54.43 9914 en2eleq 9919 en2other2 9920 infxpenc 9929 infxpenc2 9933 dju1p1e2ALT 10086 fin1a2lem4 10314 cfpwsdom 10496 canthp1lem2 10565 pwxpndom2 10577 tsk2 10677 hash2 14356 f1otrspeq 19411 pmtrf 19419 pmtrmvd 19420 pmtrfinv 19425 efgmnvl 19678 isnzr2 20484 ltsval2 27608 nosgnn0 27610 ltssolem1 27627 nosepnelem 27631 nolt02o 27647 nogt01o 27648 bdaypw2n0bndlem 28443 unidifsnel 32593 unidifsnne 32594 r12 35226 ex-sategoelel12 35597 1oequni2o 37672 finxpreclem3 37697 finxpreclem4 37698 finxpsuclem 37701 finxp2o 37703 pw2f1ocnv 43453 pwfi2f1o 43512 oege2 43723 oaomoencom 43733 oaltom 43820 oe2 43821 omltoe 43822 nlim2NEW 43858 clsk1indlem1 44460 |
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