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Mirrors > Home > ILE Home > Th. List > oprabidlem | Unicode version |
Description: Slight elaboration of exdistrfor 1772. A lemma for oprabid 5803. (Contributed by Jim Kingdon, 15-Jan-2019.) |
Ref | Expression |
---|---|
oprabidlem |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | ax-bndl 1486 | . . 3 | |
2 | ax-10 1483 | . . . 4 | |
3 | dtru 4475 | . . . . . 6 | |
4 | pm2.53 711 | . . . . . 6 | |
5 | 3, 4 | mpi 15 | . . . . 5 |
6 | df-nf 1437 | . . . . . 6 | |
7 | 6 | albii 1446 | . . . . 5 |
8 | 5, 7 | sylibr 133 | . . . 4 |
9 | 2, 8 | orim12i 748 | . . 3 |
10 | 1, 9 | ax-mp 5 | . 2 |
11 | 10 | exdistrfor 1772 | 1 |
Colors of variables: wff set class |
Syntax hints: wn 3 wi 4 wa 103 wo 697 wal 1329 wnf 1436 wex 1468 |
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-14 1492 ax-17 1506 ax-i9 1510 ax-ial 1514 ax-i5r 1515 ax-ext 2121 ax-sep 4046 ax-pow 4098 ax-setind 4452 |
This theorem depends on definitions: df-bi 116 df-3an 964 df-tru 1334 df-fal 1337 df-nf 1437 df-sb 1736 df-clab 2126 df-cleq 2132 df-clel 2135 df-nfc 2270 df-ne 2309 df-ral 2421 df-v 2688 df-dif 3073 df-in 3077 df-ss 3084 df-pw 3512 df-sn 3533 |
This theorem is referenced by: oprabid 5803 |
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