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Mirrors > Home > ILE 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 120 |
. 2
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3 | syl7bi.2 |
. 2
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4 | 2, 3 | syl7 69 |
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 |
This theorem depends on definitions: df-bi 117 |
This theorem is referenced by: necon1addc 2423 necon1ddc 2425 rspct 2834 2reuswapdc 2941 nn0lt2 9310 fzofzim 10161 ndvdssub 11905 bj-findis 14353 |
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