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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 8173 | . 2 class 1o | |
2 | c0 4223 | . . 3 class ∅ | |
3 | 2 | csuc 6193 | . 2 class suc ∅ |
4 | 1, 3 | wceq 1543 | 1 wff 1o = suc ∅ |
Colors of variables: wff setvar class |
This definition is referenced by: 1on 8187 df1o2 8192 ordgt0ge1 8202 oa1suc 8236 o2p2e4 8246 om1 8248 oe1 8250 oelim2 8301 nnecl 8319 1onn 8345 omabs 8354 nnm1 8355 0sdom1dom 8852 ackbij1lem14 9812 aleph1 10150 cfpwsdom 10163 nlt1pi 10485 indpi 10486 hash1 13936 aleph1re 15769 bnj168 32375 satfv1 32992 fmla1 33016 sltval2 33545 sltsolem1 33564 nosepnelem 33568 nolt02o 33584 bday1s 33711 rankeq1o 34159 finxp1o 35249 finxpreclem4 35251 finxp00 35259 aleph1min 40781 clsk1indlem1 41273 |
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