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Theorem mpd3an3 1278
Description: An inference based on modus ponens. (Contributed by NM, 8-Nov-2007.)
Hypotheses
Ref Expression
mpd3an3.2
mpd3an3.3
Assertion
Ref Expression
mpd3an3

Proof of Theorem mpd3an3
StepHypRef Expression
1 mpd3an3.2 . 2
2 mpd3an3.3 . . 3
323expa 1151 . 2
41, 3mpdan 649 1
Colors of variables: wff setvar class
Syntax hints:   wi 4   wa 358   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:  nnsucelr  4428  cupvalg  5812  ovcross  5845  pmvalg  6010  enadj  6060  ovmuc  6130  ovce  6172  addlecncs  6209  leconnnc  6218  ncslesuc  6267
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