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Theorem idn3 28692
Description: Virtual deduction identity rule for 3 virtual hypotheses. (Contributed by Alan Sare, 11-Jun-2011.) (Proof modification is discouraged.) (New usage is discouraged.)
Assertion
Ref Expression
idn3  |-  (. ph ,. ps ,. ch  ->.  ch ).

Proof of Theorem idn3
StepHypRef Expression
1 idd 21 . . 3  |-  ( ps 
->  ( ch  ->  ch ) )
21a1i 10 . 2  |-  ( ph  ->  ( ps  ->  ( ch  ->  ch ) ) )
32dfvd3ir 28661 1  |-  (. ph ,. ps ,. ch  ->.  ch ).
Colors of variables: wff set class
Syntax hints:    -> wi 4   (.wvd3 28655
This theorem is referenced by:  suctrALT2VD  28928  en3lplem2VD  28936  exbirVD  28945  exbiriVD  28946  rspsbc2VD  28947  tratrbVD  28953  ssralv2VD  28958  imbi12VD  28965  imbi13VD  28966  truniALTVD  28970  trintALTVD  28972  onfrALTlem2VD  28981
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
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