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Mirrors > Home > ILE Home > Th. List > sbi1v | Unicode version |
Description: Forward direction of sbimv 1814. (Contributed by Jim Kingdon, 25-Dec-2017.) |
Ref | Expression |
---|---|
sbi1v |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | sb6 1807 | . 2 | |
2 | sb6 1807 | . . 3 | |
3 | ax-2 6 | . . . . 5 | |
4 | 3 | al2imi 1387 | . . . 4 |
5 | sb2 1690 | . . . 4 | |
6 | 4, 5 | syl6 33 | . . 3 |
7 | 2, 6 | sylbi 119 | . 2 |
8 | 1, 7 | syl5bi 150 | 1 |
Colors of variables: wff set class |
Syntax hints: wi 4 wal 1282 wsb 1685 |
This theorem was proved from axioms: ax-1 5 ax-2 6 ax-mp 7 ax-ia1 104 ax-ia2 105 ax-ia3 106 ax-5 1376 ax-gen 1378 ax-ie1 1422 ax-ie2 1423 ax-8 1435 ax-11 1437 ax-4 1440 ax-17 1459 ax-i9 1463 ax-ial 1467 |
This theorem depends on definitions: df-bi 115 df-sb 1686 |
This theorem is referenced by: sbimv 1814 |
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