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Mirrors > Home > ILE Home > Th. List > oprabidlem | Unicode version |
Description: Slight elaboration of exdistrfor 1756. A lemma for oprabid 5771. (Contributed by Jim Kingdon, 15-Jan-2019.) |
Ref | Expression |
---|---|
oprabidlem |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | ax-bndl 1471 | . . 3 | |
2 | ax-10 1468 | . . . 4 | |
3 | dtru 4445 | . . . . . 6 | |
4 | pm2.53 696 | . . . . . 6 | |
5 | 3, 4 | mpi 15 | . . . . 5 |
6 | df-nf 1422 | . . . . . 6 | |
7 | 6 | albii 1431 | . . . . 5 |
8 | 5, 7 | sylibr 133 | . . . 4 |
9 | 2, 8 | orim12i 733 | . . 3 |
10 | 1, 9 | ax-mp 5 | . 2 |
11 | 10 | exdistrfor 1756 | 1 |
Colors of variables: wff set class |
Syntax hints: wn 3 wi 4 wa 103 wo 682 wal 1314 wnf 1421 wex 1453 |
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-14 1477 ax-17 1491 ax-i9 1495 ax-ial 1499 ax-i5r 1500 ax-ext 2099 ax-sep 4016 ax-pow 4068 ax-setind 4422 |
This theorem depends on definitions: df-bi 116 df-3an 949 df-tru 1319 df-fal 1322 df-nf 1422 df-sb 1721 df-clab 2104 df-cleq 2110 df-clel 2113 df-nfc 2247 df-ne 2286 df-ral 2398 df-v 2662 df-dif 3043 df-in 3047 df-ss 3054 df-pw 3482 df-sn 3503 |
This theorem is referenced by: oprabid 5771 |
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