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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 8495 | . 2 class 2o | |
| 2 | c1o 8494 | . . 3 class 1o | |
| 3 | 2 | csuc 6379 | . 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 8509 2on 8515 2on0 8516 ondif2 8535 o1p1e2 8573 o2p2e4 8574 oneo 8614 om2 8619 2onnALT 8677 1one2o 8680 nnm2 8687 nnneo 8689 nneob 8690 1sdom2ALT 9265 en2 9296 pm54.43 10106 en2eleq 10111 en2other2 10112 infxpenc 10121 infxpenc2 10125 dju1p1e2ALT 10277 fin1a2lem4 10505 cfpwsdom 10693 canthp1lem2 10762 pwxpndom2 10774 tsk2 10874 hash2 14573 f1otrspeq 19688 pmtrf 19696 pmtrmvd 19697 pmtrfinv 19702 efgmnvl 19955 isnzr2 20795 ltsval2 28040 nosgnn0 28042 ltssolem1 28059 nosepnelem 28063 nolt02o 28079 nogt01o 28080 bdaypw2n0bndlem 28876 unidifsnel 33200 unidifsnne 33201 r12 35807 1olt9o 35879 gdlopcfv2 35972 gdlopcfv3 35973 gdlopcfv4 35974 gdlopcfv5 35975 gdlopcfv6 35976 gdlopcfv7 35977 gdlopcfv8 35978 ex-sategoelel12 36358 1oequni2o 38482 finxpreclem3 38507 finxpreclem4 38508 finxpsuclem 38511 finxp2o 38513 pw2f1ocnv 44235 pwfi2f1o 44289 oege2 44499 oaomoencom 44509 oaltom 44596 oe2 44597 omltoe 44598 nlim2NEW 44634 clsk1indlem1 45235 |
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