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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 8384 | . 2 class 1o | |
| 2 | c0 4282 | . . 3 class ∅ | |
| 3 | 2 | csuc 6313 | . 2 class suc ∅ |
| 4 | 1, 3 | wceq 1541 | 1 wff 1o = suc ∅ |
| Colors of variables: wff setvar class |
| This definition is referenced by: df1o2 8398 1on 8403 ordgt0ge1 8414 oa1suc 8452 o2p2e4 8462 om1 8463 oe1 8465 oelim2 8516 nnecl 8534 1onnALT 8562 omabs 8572 nnm1 8573 0sdom1domALT 9138 brttrcl2 9611 ssttrcl 9612 ttrcltr 9613 ttrclss 9617 dmttrcl 9618 rnttrcl 9619 ttrclselem2 9623 ackbij1lem14 10130 aleph1 10469 cfpwsdom 10482 nlt1pi 10804 indpi 10805 hash1 14313 aleph1re 16156 sltval2 27596 sltsolem1 27615 nosepnelem 27619 nolt02o 27635 bday1s 27776 cuteq1 27779 om2noseqlt 28230 bnj168 34763 r11 35126 satfv1 35428 fmla1 35452 rankeq1o 36236 finxp1o 37457 finxpreclem4 37459 finxp00 37467 ordeldif1o 43377 onov0suclim 43391 omabs2 43449 tfsconcatb0 43461 nlim1NEW 43559 aleph1min 43674 clsk1indlem1 44162 |
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