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Mirrors > Home > NFE Home > Th. List > sylancbr | Unicode version |
Description: A syllogism inference combined with contraction. (Contributed by NM, 3-Sep-2004.) |
Ref | Expression |
---|---|
sylancbr.1 |
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sylancbr.2 |
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sylancbr.3 |
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Ref | Expression |
---|---|
sylancbr |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | sylancbr.1 |
. . 3
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2 | sylancbr.2 |
. . 3
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3 | sylancbr.3 |
. . 3
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4 | 1, 2, 3 | syl2anbr 466 |
. 2
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5 | 4 | anidms 626 |
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 df-an 360 |
This theorem is referenced by: (None) |
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