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Mirrors > Home > ILE Home > Th. List > sbi2v | Unicode version |
Description: Reverse direction of sbimv 1773. (Contributed by Jim Kingdon, 18-Jan-2018.) |
Ref | Expression |
---|---|
sbi2v |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | 19.38 1566 | . . 3 | |
2 | pm3.3 248 | . . . . 5 | |
3 | pm2.04 76 | . . . . 5 | |
4 | 2, 3 | syli 33 | . . . 4 |
5 | 4 | alimi 1344 | . . 3 |
6 | 1, 5 | syl 14 | . 2 |
7 | sb5 1767 | . . 3 | |
8 | sb6 1766 | . . 3 | |
9 | 7, 8 | imbi12i 228 | . 2 |
10 | sb6 1766 | . 2 | |
11 | 6, 9, 10 | 3imtr4i 190 | 1 |
Colors of variables: wff set class |
Syntax hints: wi 4 wa 97 wal 1241 wex 1381 wsb 1645 |
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-5 1336 ax-gen 1338 ax-ie1 1382 ax-ie2 1383 ax-8 1395 ax-11 1397 ax-4 1400 ax-17 1419 ax-i9 1423 ax-ial 1427 ax-i5r 1428 |
This theorem depends on definitions: df-bi 110 df-sb 1646 |
This theorem is referenced by: sbimv 1773 |
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