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Mirrors > Home > ILE Home > Th. List > df1o2 | Unicode version |
Description: Expanded value of the ordinal number 1. (Contributed by NM, 4-Nov-2002.) |
Ref | Expression |
---|---|
df1o2 |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | df-1o 6281 | . 2 | |
2 | suc0 4303 | . 2 | |
3 | 1, 2 | eqtri 2138 | 1 |
Colors of variables: wff set class |
Syntax hints: wceq 1316 c0 3333 csn 3497 csuc 4257 c1o 6274 |
This theorem was proved from axioms: ax-mp 5 ax-1 6 ax-2 7 ax-ia1 105 ax-ia2 106 ax-ia3 107 ax-in1 588 ax-in2 589 ax-io 683 ax-5 1408 ax-7 1409 ax-gen 1410 ax-ie1 1454 ax-ie2 1455 ax-8 1467 ax-10 1468 ax-11 1469 ax-i12 1470 ax-bndl 1471 ax-4 1472 ax-17 1491 ax-i9 1495 ax-ial 1499 ax-i5r 1500 ax-ext 2099 |
This theorem depends on definitions: df-bi 116 df-tru 1319 df-nf 1422 df-sb 1721 df-clab 2104 df-cleq 2110 df-clel 2113 df-nfc 2247 df-v 2662 df-dif 3043 df-un 3045 df-nul 3334 df-suc 4263 df-1o 6281 |
This theorem is referenced by: df2o3 6295 df2o2 6296 1n0 6297 el1o 6302 dif1o 6303 ensn1 6658 en1 6661 map1 6674 xp1en 6685 exmidpw 6770 unfiexmid 6774 0ct 6960 exmidonfinlem 7017 exmidfodomrlemr 7026 exmidfodomrlemrALT 7027 fihashen1 10513 ss1oel2o 13116 pw1dom2 13117 pwle2 13120 pwf1oexmid 13121 sbthom 13148 |
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