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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 8452 | . 2 class 2o | |
| 2 | c1o 8451 | . . 3 class 1o | |
| 3 | 2 | csuc 6363 | . 2 class suc 1o |
| 4 | 1, 3 | wceq 1570 | 1 wff 2o = suc 1o |
| Colors of variables: wff setvar class |
| This definition is used by: df2o3 8466 2on 8472 2on0 8473 ondif2 8492 o1p1e2 8530 o2p2e4 8531 oneo 8571 om2 8576 2onnALT 8634 1one2o 8637 nnm2 8644 nnneo 8646 nneob 8647 1sdom2ALT 9222 en2 9253 pm54.43 10009 en2eleq 10014 en2other2 10015 infxpenc 10024 infxpenc2 10028 dju1p1e2ALT 10180 fin1a2lem4 10408 cfpwsdom 10596 canthp1lem2 10665 pwxpndom2 10677 tsk2 10777 hash2 14471 f1otrspeq 19575 pmtrf 19583 pmtrmvd 19584 pmtrfinv 19589 efgmnvl 19842 isnzr2 20679 ltsval2 27890 nosgnn0 27892 ltssolem1 27909 nosepnelem 27913 nolt02o 27929 nogt01o 27930 bdaypw2n0bndlem 28726 unidifsnel 32996 unidifsnne 32997 r12 35589 ex-sategoelel12 35993 1oequni2o 38109 finxpreclem3 38134 finxpreclem4 38135 finxpsuclem 38138 finxp2o 38140 pw2f1ocnv 43865 pwfi2f1o 43924 oege2 44135 oaomoencom 44145 oaltom 44232 oe2 44233 omltoe 44234 nlim2NEW 44270 clsk1indlem1 44872 |
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