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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 27893 ltssolem1 27912 nosepnelem 27916 nolt02o 27932 bday1 28080 cuteq1 28083 om2noseqlt 28565 bdaypw2n0bndlem 28729 bnj168 35242 r11 35603 satfv1 35944 fmla1 35968 rankeq1o 36753 finxp1o 38148 finxpreclem4 38150 finxp00 38158 ordeldif1o 44103 onov0suclim 44117 omabs2 44175 tfsconcatb0 44187 nlim1NEW 44284 aleph1min 44399 clsk1indlem1 44887 |
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