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Mirrors > Home > MPE Home > Th. List > df-1o | Structured version Visualization version GIF version |
Description: Define the ordinal number 1. (Contributed by NM, 29-Oct-1995.) |
Ref | Expression |
---|---|
df-1o | ⊢ 1o = suc ∅ |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | c1o 8095 | . 2 class 1o | |
2 | c0 4291 | . . 3 class ∅ | |
3 | 2 | csuc 6193 | . 2 class suc ∅ |
4 | 1, 3 | wceq 1537 | 1 wff 1o = suc ∅ |
Colors of variables: wff setvar class |
This definition is referenced by: 1on 8109 df1o2 8116 ordgt0ge1 8122 oa1suc 8156 o2p2e4 8166 om1 8168 oe1 8170 oelim2 8221 nnecl 8239 1onn 8265 omabs 8274 nnm1 8275 0sdom1dom 8716 ackbij1lem14 9655 aleph1 9993 cfpwsdom 10006 nlt1pi 10328 indpi 10329 hash1 13766 aleph1re 15598 bnj168 32000 satfv1 32610 fmla1 32634 sltval2 33163 sltsolem1 33180 nosepnelem 33184 nolt02o 33199 rankeq1o 33632 finxp1o 34676 finxpreclem4 34678 finxp00 34686 aleph1min 39936 clsk1indlem1 40415 |
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