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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 8402 | . 2 class 1o | |
| 2 | c0 4287 | . . 3 class ∅ | |
| 3 | 2 | csuc 6329 | . 2 class suc ∅ |
| 4 | 1, 3 | wceq 1542 | 1 wff 1o = suc ∅ |
| Colors of variables: wff setvar class |
| This definition is referenced by: df1o2 8416 1on 8421 ordgt0ge1 8432 oa1suc 8470 o2p2e4 8480 om1 8481 oe1 8483 oelim2 8535 nnecl 8553 1onnALT 8581 omabs 8591 nnm1 8592 0sdom1domALT 9161 brttrcl2 9637 ssttrcl 9638 ttrcltr 9639 ttrclss 9643 dmttrcl 9644 rnttrcl 9645 ttrclselem2 9649 ackbij1lem14 10156 aleph1 10496 cfpwsdom 10509 nlt1pi 10831 indpi 10832 hash1 14341 aleph1re 16184 ltsval2 27641 ltssolem1 27660 nosepnelem 27664 nolt02o 27680 bday1 27827 cuteq1 27830 om2noseqlt 28312 bdaypw2n0bndlem 28476 bnj168 34913 r11 35277 satfv1 35585 fmla1 35609 rankeq1o 36393 finxp1o 37674 finxpreclem4 37676 finxp00 37684 ordeldif1o 43646 onov0suclim 43660 omabs2 43718 tfsconcatb0 43730 nlim1NEW 43827 aleph1min 43942 clsk1indlem1 44430 |
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