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| Mirrors > Home > MPE Home > Th. List > df-1o | Structured version Visualization version GIF version | ||
| Description: Define the ordinal number 1. Definition 2.1 of [Schloeder] p. 4. (Contributed by NM, 29-Oct-1995.) |
| Ref | Expression |
|---|---|
| df-1o | ⊢ 1o = suc ∅ |
| Step | Hyp | Ref | Expression |
|---|---|---|---|
| 1 | c1o 8392 | . 2 class 1o | |
| 2 | c0 4263 | . . 3 class ∅ | |
| 3 | 2 | csuc 6315 | . 2 class suc ∅ |
| 4 | 1, 3 | wceq 1548 | 1 wff 1o = suc ∅ |
| Colors of variables: wff setvar class |
| This definition is referenced by: df1o2 8406 1on 8411 ordgt0ge1 8422 oa1suc 8460 o2p2e4 8470 om1 8471 oe1 8473 oelim2 8525 nnecl 8543 1onnALT 8571 omabs 8581 nnm1 8582 0sdom1domALT 9151 brttrcl2 9630 ssttrcl 9631 ttrcltr 9632 ttrclss 9636 dmttrcl 9637 rnttrcl 9638 ttrclselem2 9642 ackbij1lem14 10149 aleph1 10490 cfpwsdom 10503 nlt1pi 10825 indpi 10826 hash1 14361 aleph1re 16207 ltsval2 27640 ltssolem1 27659 nosepnelem 27663 nolt02o 27679 bday1 27826 cuteq1 27829 om2noseqlt 28311 bdaypw2n0bndlem 28475 bnj168 34926 r11 35288 satfv1 35604 fmla1 35628 rankeq1o 36412 finxp1o 37767 finxpreclem4 37769 finxp00 37777 ordeldif1o 43718 onov0suclim 43732 omabs2 43790 tfsconcatb0 43802 nlim1NEW 43899 aleph1min 44014 clsk1indlem1 44502 |
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