Intuitionistic Logic Explorer |
< Previous
Next >
Nearby theorems |
||
Mirrors > Home > ILE Home > Th. List > oprabidlem | Unicode version |
Description: Slight elaboration of exdistrfor 1681. A lemma for oprabid 5537. (Contributed by Jim Kingdon, 15-Jan-2019.) |
Ref | Expression |
---|---|
oprabidlem |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | ax-bndl 1399 | . . 3 | |
2 | ax-10 1396 | . . . 4 | |
3 | dtru 4284 | . . . . . 6 | |
4 | pm2.53 641 | . . . . . 6 | |
5 | 3, 4 | mpi 15 | . . . . 5 |
6 | df-nf 1350 | . . . . . 6 | |
7 | 6 | albii 1359 | . . . . 5 |
8 | 5, 7 | sylibr 137 | . . . 4 |
9 | 2, 8 | orim12i 676 | . . 3 |
10 | 1, 9 | ax-mp 7 | . 2 |
11 | 10 | exdistrfor 1681 | 1 |
Colors of variables: wff set class |
Syntax hints: wn 3 wi 4 wa 97 wo 629 wal 1241 wnf 1349 wex 1381 |
This theorem was proved from axioms: ax-1 5 ax-2 6 ax-mp 7 ax-ia1 99 ax-ia2 100 ax-ia3 101 ax-in1 544 ax-in2 545 ax-io 630 ax-5 1336 ax-7 1337 ax-gen 1338 ax-ie1 1382 ax-ie2 1383 ax-8 1395 ax-10 1396 ax-11 1397 ax-i12 1398 ax-bndl 1399 ax-4 1400 ax-14 1405 ax-17 1419 ax-i9 1423 ax-ial 1427 ax-i5r 1428 ax-ext 2022 ax-sep 3875 ax-pow 3927 ax-setind 4262 |
This theorem depends on definitions: df-bi 110 df-3an 887 df-tru 1246 df-fal 1249 df-nf 1350 df-sb 1646 df-clab 2027 df-cleq 2033 df-clel 2036 df-nfc 2167 df-ne 2206 df-ral 2311 df-v 2559 df-dif 2920 df-in 2924 df-ss 2931 df-pw 3361 df-sn 3381 |
This theorem is referenced by: oprabid 5537 |
Copyright terms: Public domain | W3C validator |