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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 8445 | . 2 class 1o | |
| 2 | c0 4285 | . . 3 class ∅ | |
| 3 | 2 | csuc 6362 | . 2 class suc ∅ |
| 4 | 1, 3 | wceq 1568 | 1 wff 1o = suc ∅ |
| Colors of variables: wff setvar class |
| This definition is referenced by: df1o2 8459 1on 8465 1n0 8471 ordgt0ge1 8477 oa1suc 8515 o2p2e4 8525 om1 8526 oe1 8528 oelim2 8580 nnecl 8598 1onnALT 8626 omabs 8636 nnm1 8637 0sdom1domALT 9206 brttrcl2 9682 ssttrcl 9683 ttrcltr 9684 ttrclss 9688 dmttrcl 9689 rnttrcl 9690 ttrclselem2 9694 ackbij1lem14 10214 aleph1 10555 cfpwsdom 10568 nlt1pi 10890 indpi 10891 hash1 14439 aleph1re 16300 ltsval2 27796 ltssolem1 27815 nosepnelem 27819 nolt02o 27835 bday1 27983 cuteq1 27986 om2noseqlt 28468 bdaypw2n0bndlem 28632 bnj168 35085 r11 35451 satfv1 35809 fmla1 35833 rankeq1o 36617 finxp1o 37982 finxpreclem4 37984 finxp00 37992 ordeldif1o 43935 onov0suclim 43949 omabs2 44007 tfsconcatb0 44019 nlim1NEW 44116 aleph1min 44231 clsk1indlem1 44719 |
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