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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 8469 | . 2 class 1o | |
| 2 | c0 4278 | . . 3 class ∅ | |
| 3 | 2 | csuc 6364 | . 2 class suc ∅ |
| 4 | 1, 3 | wceq 1569 | 1 wff 1o = suc ∅ |
| Colors of variables: wff setvar class |
| This definition is used by: df1o2 8483 1on 8489 1n0 8495 ordgt0ge1 8501 oa1suc 8539 o2p2e4 8549 om1 8550 oe1 8552 oelim2 8604 nnecl 8622 1onnALT 8650 omabs 8660 nnm1 8661 0sdom1domALT 9238 brttrcl2 9715 ssttrcl 9716 ttrcltr 9717 ttrclss 9721 dmttrcl 9722 rnttrcl 9723 ttrclselem2 9727 ackbij1lem14 10310 aleph1 10656 cfpwsdom 10669 nlt1pi 10991 indpi 10992 hash1 14548 aleph1re 16413 ltsval2 28013 ltssolem1 28032 nosepnelem 28036 nolt02o 28052 bday1 28200 cuteq1 28203 om2noseqlt 28685 bdaypw2n0bndlem 28849 bnj168 35403 r11 35767 satfv1 36170 fmla1 36194 rankeq1o 36974 finxp1o 38358 finxpreclem4 38360 finxp00 38368 ordeldif1o 44304 onov0suclim 44318 omabs2 44376 tfsconcatb0 44388 nlim1NEW 44485 aleph1min 44600 clsk1indlem1 45087 |
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