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Mirrors > Home > ILE 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 114 |
. . 3
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4 | 1, 3 | mp3an1 1261 |
. 2
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5 | 4 | imp 123 |
1
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Colors of variables: wff set class |
Syntax hints: ![]() ![]() ![]() |
This theorem was proved from axioms: ax-1 5 ax-2 6 ax-mp 7 ax-ia1 105 ax-ia2 106 ax-ia3 107 |
This theorem depends on definitions: df-bi 116 df-3an 927 |
This theorem is referenced by: mp3anr1 1271 archnqq 7039 facavg 10217 iddvds 11150 |
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