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Mirrors > Home > NFE Home > Th. List > mpsyl | Unicode version |
Description: Modus ponens combined with a syllogism inference. (Contributed by Alan Sare, 20-Apr-2011.) |
Ref | Expression |
---|---|
mpsyl.1 |
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mpsyl.2 |
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mpsyl.3 |
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Ref | Expression |
---|---|
mpsyl |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | mpsyl.1 |
. . 3
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2 | 1 | a1i 10 |
. 2
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3 | mpsyl.2 |
. 2
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4 | mpsyl.3 |
. 2
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5 | 2, 3, 4 | sylc 56 |
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 |
This theorem is referenced by: tbwlem1 1470 tbwlem2 1471 re1luk3 1477 merco1lem17 1498 re1tbw1 1510 a16g 1945 funmo 5126 foimacnv 5304 isoini2 5499 |
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