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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 4286 | . . 3 class ∅ | |
| 3 | 2 | csuc 6320 | . 2 class suc ∅ |
| 4 | 1, 3 | wceq 1542 | 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 9627 ssttrcl 9628 ttrcltr 9629 ttrclss 9633 dmttrcl 9634 rnttrcl 9635 ttrclselem2 9639 ackbij1lem14 10146 aleph1 10486 cfpwsdom 10499 nlt1pi 10821 indpi 10822 hash1 14331 aleph1re 16174 ltsval2 27628 ltssolem1 27647 nosepnelem 27651 nolt02o 27667 bday1 27814 cuteq1 27817 om2noseqlt 28299 bdaypw2n0bndlem 28463 bnj168 34888 r11 35252 satfv1 35559 fmla1 35583 rankeq1o 36367 finxp1o 37599 finxpreclem4 37601 finxp00 37609 ordeldif1o 43569 onov0suclim 43583 omabs2 43641 tfsconcatb0 43653 nlim1NEW 43750 aleph1min 43865 clsk1indlem1 44353 |
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