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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 8432 | . 2 class 1o | |
| 2 | c0 4287 | . . 3 class ∅ | |
| 3 | 2 | csuc 6350 | . 2 class suc ∅ |
| 4 | 1, 3 | wceq 1562 | 1 wff 1o = suc ∅ |
| Colors of variables: wff setvar class |
| This definition is referenced by: df1o2 8446 1on 8452 1n0 8458 ordgt0ge1 8464 oa1suc 8502 o2p2e4 8512 om1 8513 oe1 8515 oelim2 8567 nnecl 8585 1onnALT 8613 omabs 8623 nnm1 8624 0sdom1domALT 9193 brttrcl2 9671 ssttrcl 9672 ttrcltr 9673 ttrclss 9677 dmttrcl 9678 rnttrcl 9679 ttrclselem2 9683 ackbij1lem14 10190 aleph1 10531 cfpwsdom 10544 nlt1pi 10866 indpi 10867 hash1 14419 aleph1re 16279 ltsval2 27722 ltssolem1 27741 nosepnelem 27745 nolt02o 27761 bday1 27909 cuteq1 27912 om2noseqlt 28394 bdaypw2n0bndlem 28558 bnj168 35028 r11 35394 satfv1 35718 fmla1 35742 rankeq1o 36526 finxp1o 37891 finxpreclem4 37893 finxp00 37901 ordeldif1o 43842 onov0suclim 43856 omabs2 43914 tfsconcatb0 43926 nlim1NEW 44023 aleph1min 44138 clsk1indlem1 44626 |
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