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Theorem mp3an23 1269
Description: An inference based on modus ponens. (Contributed by NM, 14-Jul-2005.)
Hypotheses
Ref Expression
mp3an23.1
mp3an23.2
mp3an23.3
Assertion
Ref Expression
mp3an23

Proof of Theorem mp3an23
StepHypRef Expression
1 mp3an23.1 . 2
2 mp3an23.2 . . 3
3 mp3an23.3 . . 3
42, 3mp3an3 1266 . 2
51, 4mpan2 652 1
Colors of variables: wff setvar class
Syntax hints:   wi 4   w3a 934
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:  sbciegf  3077  vfintle  4546  vfin1cltv  4547  funpr  5151  enmap2lem5  6067  enprmaplem5  6080  nchoicelem17  6305
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