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Theorem mp3an13 1268
Description: An inference based on modus ponens. (Contributed by NM, 14-Jul-2005.)
Hypotheses
Ref Expression
mp3an13.1
mp3an13.2
mp3an13.3
Assertion
Ref Expression
mp3an13

Proof of Theorem mp3an13
StepHypRef Expression
1 mp3an13.1 . 2
2 mp3an13.2 . . 3
3 mp3an13.3 . . 3
42, 3mp3an3 1266 . 2
51, 4mpan 651 1
Colors of variables: wff setvar class
Syntax hints:   wi 4   w3a 934
This theorem was proved from axioms:  ax-1 5  ax-2 6  ax-3 7  ax-mp 8
This theorem depends on definitions:  df-bi 177  df-an 360  df-3an 936
This theorem is referenced by:  sfinltfin  4535  nmembers1lem2  6269
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