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Mirrors > Home > MPE Home > Th. List > bitri | Unicode version |
Description: An inference from transitive law for logical equivalence. (Contributed by NM, 3-Jan-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 | . . 3 | |
2 | bitri.2 | . . 3 | |
3 | 1, 2 | sylbb 197 | . 2 |
4 | 2 | biimpri 206 | . . 3 |
5 | 4, 1 | sylibr 212 | . 2 |
6 | 3, 5 | impbii 188 | 1 |
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