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Mirrors > Home > NFE Home > Th. List > mp3anl1 | Unicode version |
Description: An inference based on modus ponens. (Contributed by NM, 24-Feb-2005.) |
Ref | Expression |
---|---|
mp3anl1.1 |
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mp3anl1.2 |
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Ref | Expression |
---|---|
mp3anl1 |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | mp3anl1.1 |
. . 3
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2 | mp3anl1.2 |
. . . 4
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3 | 2 | ex 423 |
. . 3
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4 | 1, 3 | mp3an1 1264 |
. 2
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5 | 4 | imp 418 |
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 df-3an 936 |
This theorem is referenced by: mp3anr1 1274 |
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