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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 8457 | . 2 class 2o | |
2 | c1o 8456 | . . 3 class 1o | |
3 | 2 | csuc 6364 | . 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 8471 2on 8477 2onOLD 8478 2on0 8479 2oexOLD 8484 ondif2 8499 o1p1e2 8537 o2p2e4 8538 oneo 8578 2onnALT 8639 1one2o 8642 nnm2 8649 nnneo 8651 nneob 8652 enpr2dOLD 9047 snnen2oOLD 9224 1sdom2ALT 9238 1sdomOLD 9246 en2 9278 pm54.43 9993 en2eleq 10000 en2other2 10001 infxpenc 10010 infxpenc2 10014 dju1p1e2ALT 10166 fin1a2lem4 10395 cfpwsdom 10576 canthp1lem2 10645 pwxpndom2 10657 tsk2 10757 hash2 14362 f1otrspeq 19310 pmtrf 19318 pmtrmvd 19319 pmtrfinv 19324 efgmnvl 19577 isnzr2 20290 sltval2 27149 nosgnn0 27151 sltsolem1 27168 nosepnelem 27172 nolt02o 27188 nogt01o 27189 unidifsnel 31760 unidifsnne 31761 ex-sategoelel12 34407 1oequni2o 36238 finxpreclem3 36263 finxpreclem4 36264 finxpsuclem 36267 finxp2o 36269 pw2f1ocnv 41762 pwfi2f1o 41824 oege2 42043 oaomoencom 42053 om2 42141 oaltom 42142 oe2 42143 omltoe 42144 nlim2NEW 42180 clsk1indlem1 42782 |
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