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Theorem e03 28829
Description: A virtual deduction elimination rule. (Contributed by Alan Sare, 12-Jun-2011.) (Proof modification is discouraged.) (New usage is discouraged.)
Hypotheses
Ref Expression
e03.1  |-  ph
e03.2  |-  (. ps ,. ch ,. th  ->.  ta ).
e03.3  |-  ( ph  ->  ( ta  ->  et ) )
Assertion
Ref Expression
e03  |-  (. ps ,. ch ,. th  ->.  et ).

Proof of Theorem e03
StepHypRef Expression
1 e03.1 . . 3  |-  ph
21vd03 28676 . 2  |-  (. ps ,. ch ,. th  ->.  ph ).
3 e03.2 . 2  |-  (. ps ,. ch ,. th  ->.  ta ).
4 e03.3 . 2  |-  ( ph  ->  ( ta  ->  et ) )
52, 3, 4e33 28823 1  |-  (. ps ,. ch ,. th  ->.  et ).
Colors of variables: wff set class
Syntax hints:    -> wi 4   (.wvd3 28655
This theorem is referenced by:  e03an  28831  suctrALT2VD  28928
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  df-vd3 28658
  Copyright terms: Public domain W3C validator