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Mirrors > Home > ILE Home > Th. List > sylbb1 | Unicode version |
Description: A mixed syllogism inference from two biconditionals. (Contributed by BJ, 21-Apr-2019.) |
Ref | Expression |
---|---|
sylbb1.1 | |
sylbb1.2 |
Ref | Expression |
---|---|
sylbb1 |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | sylbb1.1 | . . 3 | |
2 | 1 | biimpri 131 | . 2 |
3 | sylbb1.2 | . 2 | |
4 | 2, 3 | sylib 120 | 1 |
Colors of variables: wff set class |
Syntax hints: wi 4 wb 103 |
This theorem was proved from axioms: ax-1 5 ax-2 6 ax-mp 7 ax-ia1 104 ax-ia2 105 ax-ia3 106 |
This theorem depends on definitions: df-bi 115 |
This theorem is referenced by: (None) |
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