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Mirrors > Home > NFE Home > Th. List > mp3an13 | Unicode version |
Description: An inference based on modus ponens. (Contributed by NM, 14-Jul-2005.) |
Ref | Expression |
---|---|
mp3an13.1 |
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mp3an13.2 |
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mp3an13.3 |
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Ref | Expression |
---|---|
mp3an13 |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | mp3an13.1 |
. 2
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2 | mp3an13.2 |
. . 3
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3 | mp3an13.3 |
. . 3
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4 | 2, 3 | mp3an3 1266 |
. 2
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5 | 1, 4 | mpan 651 |
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: sfinltfin 4536 nmembers1lem2 6270 |
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