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Mirrors > Home > ILE Home > Th. List > sbi1v | Unicode version |
Description: Forward direction of sbimv 1893. (Contributed by Jim Kingdon, 25-Dec-2017.) |
Ref | Expression |
---|---|
sbi1v |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | sb6 1886 |
. 2
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2 | sb6 1886 |
. . 3
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3 | ax-2 7 |
. . . . 5
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4 | 3 | al2imi 1458 |
. . . 4
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5 | sb2 1767 |
. . . 4
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6 | 4, 5 | syl6 33 |
. . 3
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7 | 2, 6 | sylbi 121 |
. 2
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8 | 1, 7 | biimtrid 152 |
1
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Colors of variables: wff set class |
Syntax hints: ![]() ![]() ![]() |
This theorem was proved from axioms: ax-mp 5 ax-1 6 ax-2 7 ax-ia1 106 ax-ia2 107 ax-ia3 108 ax-5 1447 ax-gen 1449 ax-ie1 1493 ax-ie2 1494 ax-8 1504 ax-11 1506 ax-4 1510 ax-17 1526 ax-i9 1530 ax-ial 1534 |
This theorem depends on definitions: df-bi 117 df-sb 1763 |
This theorem is referenced by: sbimv 1893 |
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