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Mirrors > Home > ILE Home > Th. List > sylanblrc | Unicode version |
Description: Syllogism inference combined with a biconditional. (Contributed by BJ, 25-Apr-2019.) |
Ref | Expression |
---|---|
sylanblrc.1 |
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sylanblrc.2 |
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sylanblrc.3 |
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Ref | Expression |
---|---|
sylanblrc |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | sylanblrc.1 |
. 2
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2 | sylanblrc.2 |
. 2
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3 | sylanblrc.3 |
. . 3
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4 | 3 | biimpri 133 |
. 2
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5 | 1, 2, 4 | sylancl 413 |
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 |
This theorem depends on definitions: df-bi 117 |
This theorem is referenced by: cosmul 11724 ismgmid 12675 mndideu 12706 cdivcncfap 13720 dvrecap 13810 |
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