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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 8395 | . 2 class 1o | |
| 2 | c0 4274 | . . 3 class ∅ | |
| 3 | 2 | csuc 6323 | . 2 class suc ∅ |
| 4 | 1, 3 | wceq 1542 | 1 wff 1o = suc ∅ |
| Colors of variables: wff setvar class |
| This definition is referenced by: df1o2 8409 1on 8414 ordgt0ge1 8425 oa1suc 8463 o2p2e4 8473 om1 8474 oe1 8476 oelim2 8528 nnecl 8546 1onnALT 8574 omabs 8584 nnm1 8585 0sdom1domALT 9154 brttrcl2 9632 ssttrcl 9633 ttrcltr 9634 ttrclss 9638 dmttrcl 9639 rnttrcl 9640 ttrclselem2 9644 ackbij1lem14 10151 aleph1 10491 cfpwsdom 10504 nlt1pi 10826 indpi 10827 hash1 14363 aleph1re 16209 ltsval2 27617 ltssolem1 27636 nosepnelem 27640 nolt02o 27656 bday1 27803 cuteq1 27806 om2noseqlt 28288 bdaypw2n0bndlem 28452 bnj168 34870 r11 35234 satfv1 35542 fmla1 35566 rankeq1o 36350 finxp1o 37705 finxpreclem4 37707 finxp00 37715 ordeldif1o 43685 onov0suclim 43699 omabs2 43757 tfsconcatb0 43769 nlim1NEW 43866 aleph1min 43981 clsk1indlem1 44469 |
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