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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 8388 | . 2 class 1o | |
| 2 | c0 4283 | . . 3 class ∅ | |
| 3 | 2 | csuc 6317 | . 2 class suc ∅ |
| 4 | 1, 3 | wceq 1541 | 1 wff 1o = suc ∅ |
| Colors of variables: wff setvar class |
| This definition is referenced by: df1o2 8402 1on 8407 ordgt0ge1 8418 oa1suc 8456 o2p2e4 8466 om1 8467 oe1 8469 oelim2 8521 nnecl 8539 1onnALT 8567 omabs 8577 nnm1 8578 0sdom1domALT 9145 brttrcl2 9621 ssttrcl 9622 ttrcltr 9623 ttrclss 9627 dmttrcl 9628 rnttrcl 9629 ttrclselem2 9633 ackbij1lem14 10140 aleph1 10480 cfpwsdom 10493 nlt1pi 10815 indpi 10816 hash1 14325 aleph1re 16168 sltval2 27622 sltsolem1 27641 nosepnelem 27645 nolt02o 27661 bday1s 27802 cuteq1 27805 om2noseqlt 28260 bdaypw2n0s 28420 bnj168 34835 r11 35199 satfv1 35506 fmla1 35530 rankeq1o 36314 finxp1o 37536 finxpreclem4 37538 finxp00 37546 ordeldif1o 43444 onov0suclim 43458 omabs2 43516 tfsconcatb0 43528 nlim1NEW 43625 aleph1min 43740 clsk1indlem1 44228 |
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