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Theorem mp3an1i 1317
Description: An inference based on modus ponens. (Contributed by NM, 5-Jul-2005.)
Hypotheses
Ref Expression
mp3an1i.1
mp3an1i.2
Assertion
Ref Expression
mp3an1i

Proof of Theorem mp3an1i
StepHypRef Expression
1 mp3an1i.1 . . 3
2 mp3an1i.2 . . . 4
32com12 31 . . 3
41, 3mp3an1 1311 . 2
54com12 31 1
Colors of variables: wff setvar class
Syntax hints:  ->wi 4  /\wa 369  /\w3a 973
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 185  df-an 371  df-3an 975
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