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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 8451 | . 2 class 1o | |
| 2 | c0 4282 | . . 3 class ∅ | |
| 3 | 2 | csuc 6363 | . 2 class suc ∅ |
| 4 | 1, 3 | wceq 1570 | 1 wff 1o = suc ∅ |
| Colors of variables: wff setvar class |
| This definition is used by: df1o2 8465 1on 8471 1n0 8477 ordgt0ge1 8483 oa1suc 8521 o2p2e4 8531 om1 8532 oe1 8534 oelim2 8586 nnecl 8604 1onnALT 8632 omabs 8642 nnm1 8643 0sdom1domALT 9220 brttrcl2 9696 ssttrcl 9697 ttrcltr 9698 ttrclss 9702 dmttrcl 9703 rnttrcl 9704 ttrclselem2 9708 ackbij1lem14 10237 aleph1 10583 cfpwsdom 10596 nlt1pi 10918 indpi 10919 hash1 14470 aleph1re 16337 ltsval2 27890 ltssolem1 27909 nosepnelem 27913 nolt02o 27929 bday1 28077 cuteq1 28080 om2noseqlt 28562 bdaypw2n0bndlem 28726 bnj168 35227 r11 35588 satfv1 35929 fmla1 35953 rankeq1o 36738 finxp1o 38133 finxpreclem4 38135 finxp00 38143 ordeldif1o 44088 onov0suclim 44102 omabs2 44160 tfsconcatb0 44172 nlim1NEW 44269 aleph1min 44384 clsk1indlem1 44872 |
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