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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 8446 | . 2 class 2o | |
| 2 | c1o 8445 | . . 3 class 1o | |
| 3 | 2 | csuc 6362 | . 2 class suc 1o |
| 4 | 1, 3 | wceq 1568 | 1 wff 2o = suc 1o |
| Colors of variables: wff setvar class |
| This definition is referenced by: df2o3 8460 2on 8466 2on0 8467 ondif2 8486 o1p1e2 8524 o2p2e4 8525 oneo 8565 om2 8570 2onnALT 8628 1one2o 8631 nnm2 8638 nnneo 8640 nneob 8641 1sdom2ALT 9208 en2 9239 pm54.43 9986 en2eleq 9991 en2other2 9992 infxpenc 10001 infxpenc2 10005 dju1p1e2ALT 10157 fin1a2lem4 10386 cfpwsdom 10568 canthp1lem2 10637 pwxpndom2 10649 tsk2 10749 hash2 14440 f1otrspeq 19516 pmtrf 19524 pmtrmvd 19525 pmtrfinv 19530 efgmnvl 19783 isnzr2 20600 ltsval2 27796 nosgnn0 27798 ltssolem1 27815 nosepnelem 27819 nolt02o 27835 nogt01o 27836 bdaypw2n0bndlem 28632 unidifsnel 32847 unidifsnne 32848 r12 35452 ex-sategoelel12 35873 1oequni2o 37958 finxpreclem3 37983 finxpreclem4 37984 finxpsuclem 37987 finxp2o 37989 pw2f1ocnv 43712 pwfi2f1o 43771 oege2 43982 oaomoencom 43992 oaltom 44079 oe2 44080 omltoe 44081 nlim2NEW 44117 clsk1indlem1 44719 |
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