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Theorem mpd3an23 1279
Description: An inference based on modus ponens. (Contributed by NM, 4-Dec-2006.)
Hypotheses
Ref Expression
mpd3an23.1
mpd3an23.2
mpd3an23.3
Assertion
Ref Expression
mpd3an23

Proof of Theorem mpd3an23
StepHypRef Expression
1 id 19 . 2
2 mpd3an23.1 . 2
3 mpd3an23.2 . 2
4 mpd3an23.3 . 2
51, 2, 3, 4syl3anc 1182 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: (None)
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