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Mirrors > Home > NFE Home > Th. List > syl7bi | Unicode version |
Description: A mixed syllogism inference from a doubly nested implication and a biconditional. (Contributed by NM, 5-Aug-1993.) |
Ref | Expression |
---|---|
syl7bi.1 |
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syl7bi.2 |
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Ref | Expression |
---|---|
syl7bi |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | syl7bi.1 |
. . 3
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2 | 1 | biimpi 186 |
. 2
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3 | syl7bi.2 |
. 2
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4 | 2, 3 | syl7 63 |
1
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Colors of variables: wff setvar class |
Syntax hints: ![]() ![]() |
This theorem was proved from axioms: ax-mp 5 ax-1 6 ax-2 7 ax-3 8 |
This theorem depends on definitions: df-bi 177 |
This theorem is referenced by: rspct 2949 |
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