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Mirrors > Home > ILE Home > Th. List > bitri | Unicode version |
Description: An inference from transitive law for logical equivalence. (Contributed by NM, 5-Aug-1993.) (Proof shortened by Wolf Lammen, 13-Oct-2012.) |
Ref | Expression |
---|---|
bitri.1 | |
bitri.2 |
Ref | Expression |
---|---|
bitri |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | bitri.1 | . . . 4 | |
2 | 1 | biimpi 113 | . . 3 |
3 | bitri.2 | . . 3 | |
4 | 2, 3 | sylib 127 | . 2 |
5 | 3 | biimpri 124 | . . 3 |
6 | 5, 1 | sylibr 137 | . 2 |
7 | 4, 6 | impbii 117 | 1 |
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