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Mirrors > Home > MPE Home > Th. List > df-2o | Structured version Visualization version GIF version |
Description: Define the ordinal number 2. (Contributed by NM, 18-Feb-2004.) |
Ref | Expression |
---|---|
df-2o | ⊢ 2o = suc 1o |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | c2o 8174 | . 2 class 2o | |
2 | c1o 8173 | . . 3 class 1o | |
3 | 2 | csuc 6193 | . 2 class suc 1o |
4 | 1, 3 | wceq 1543 | 1 wff 2o = suc 1o |
Colors of variables: wff setvar class |
This definition is referenced by: 2on 8188 2on0 8189 df2o3 8195 2oexOLD 8198 ondif2 8207 o1p1e2 8245 o2p2e4 8246 o2p2e4OLD 8247 oneo 8287 2onn 8346 1one2o 8349 nnm2 8356 nnneo 8358 nneob 8359 enpr2d 8703 snnen2o 8814 1sdom2 8853 1sdom 8857 en2 8888 pm54.43 9582 en2eleq 9587 en2other2 9588 infxpenc 9597 infxpenc2 9601 dju1p1e2ALT 9753 fin1a2lem4 9982 cfpwsdom 10163 canthp1lem2 10232 pwxpndom2 10244 tsk2 10344 hash2 13937 f1otrspeq 18793 pmtrf 18801 pmtrmvd 18802 pmtrfinv 18807 efgmnvl 19058 isnzr2 20255 unidifsnel 30556 unidifsnne 30557 ex-sategoelel12 33056 sltval2 33545 nosgnn0 33547 sltsolem1 33564 nosepnelem 33568 nolt02o 33584 nogt01o 33585 1oequni2o 35225 finxpreclem3 35250 finxpreclem4 35251 finxpsuclem 35254 finxp2o 35256 pw2f1ocnv 40503 pwfi2f1o 40565 clsk1indlem1 41273 |
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