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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 |
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sylbb1.2 |
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Ref | Expression |
---|---|
sylbb1 |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | sylbb1.1 |
. . 3
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2 | 1 | biimpri 132 |
. 2
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3 | sylbb1.2 |
. 2
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4 | 2, 3 | sylib 121 |
1
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Colors of variables: wff set class |
Syntax hints: ![]() ![]() |
This theorem was proved from axioms: ax-1 5 ax-2 6 ax-mp 7 ax-ia1 105 ax-ia2 106 ax-ia3 107 |
This theorem depends on definitions: df-bi 116 |
This theorem is referenced by: isstructr 11674 |
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