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Mirrors > Home > ILE Home > Th. List > syl2anbr | Unicode version |
Description: A double syllogism inference. (Contributed by NM, 29-Jul-1999.) |
Ref | Expression |
---|---|
syl2anbr.1 |
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syl2anbr.2 |
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syl2anbr.3 |
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Ref | Expression |
---|---|
syl2anbr |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | syl2anbr.2 |
. 2
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2 | syl2anbr.1 |
. . 3
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3 | syl2anbr.3 |
. . 3
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4 | 2, 3 | sylanbr 285 |
. 2
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5 | 1, 4 | sylan2br 288 |
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: sylancbr 419 tz6.12 5538 ltresr 7816 divmuldivap 8645 fnn0ind 9345 rexanuz 10968 nprmi 12094 cncfval 13692 |
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