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Mirrors > Home > ILE Home > Th. List > sbi2v | Unicode version |
Description: Reverse direction of sbimv 1865. (Contributed by Jim Kingdon, 18-Jan-2018.) |
Ref | Expression |
---|---|
sbi2v |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | 19.38 1654 | . . 3 | |
2 | pm3.3 259 | . . . . 5 | |
3 | pm2.04 82 | . . . . 5 | |
4 | 2, 3 | syli 37 | . . . 4 |
5 | 4 | alimi 1431 | . . 3 |
6 | 1, 5 | syl 14 | . 2 |
7 | sb5 1859 | . . 3 | |
8 | sb6 1858 | . . 3 | |
9 | 7, 8 | imbi12i 238 | . 2 |
10 | sb6 1858 | . 2 | |
11 | 6, 9, 10 | 3imtr4i 200 | 1 |
Colors of variables: wff set class |
Syntax hints: wi 4 wa 103 wal 1329 wex 1468 wsb 1735 |
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-5 1423 ax-gen 1425 ax-ie1 1469 ax-ie2 1470 ax-8 1482 ax-11 1484 ax-4 1487 ax-17 1506 ax-i9 1510 ax-ial 1514 ax-i5r 1515 |
This theorem depends on definitions: df-bi 116 df-sb 1736 |
This theorem is referenced by: sbimv 1865 |
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