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Mirrors > Home > ILE Home > Th. List > df2o2 | Unicode version |
Description: Expanded value of the ordinal number 2. (Contributed by NM, 29-Jan-2004.) |
Ref | Expression |
---|---|
df2o2 |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | df2o3 6320 | . 2 | |
2 | df1o2 6319 | . . 3 | |
3 | 2 | preq2i 3599 | . 2 |
4 | 1, 3 | eqtri 2158 | 1 |
Colors of variables: wff set class |
Syntax hints: wceq 1331 c0 3358 csn 3522 cpr 3523 c1o 6299 c2o 6300 |
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 603 ax-in2 604 ax-io 698 ax-5 1423 ax-7 1424 ax-gen 1425 ax-ie1 1469 ax-ie2 1470 ax-8 1482 ax-10 1483 ax-11 1484 ax-i12 1485 ax-bndl 1486 ax-4 1487 ax-17 1506 ax-i9 1510 ax-ial 1514 ax-i5r 1515 ax-ext 2119 |
This theorem depends on definitions: df-bi 116 df-tru 1334 df-nf 1437 df-sb 1736 df-clab 2124 df-cleq 2130 df-clel 2133 df-nfc 2268 df-v 2683 df-dif 3068 df-un 3070 df-nul 3359 df-sn 3528 df-pr 3529 df-suc 4288 df-1o 6306 df-2o 6307 |
This theorem is referenced by: 2dom 6692 exmidpw 6795 pr0hash2ex 10554 ss1oel2o 13178 |
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