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Theorem simp3r3 1068
Description: Simplification of conjunction. (Contributed by NM, 9-Mar-2012.)
Assertion
Ref Expression
simp3r3  |-  ( ( ta  /\  et  /\  ( th  /\  ( ph  /\ 
ps  /\  ch )
) )  ->  ch )

Proof of Theorem simp3r3
StepHypRef Expression
1 simpr3 966 . 2  |-  ( ( th  /\  ( ph  /\ 
ps  /\  ch )
)  ->  ch )
213ad2ant3 981 1  |-  ( ( ta  /\  et  /\  ( th  /\  ( ph  /\ 
ps  /\  ch )
) )  ->  ch )
Colors of variables: wff set class
Syntax hints:    -> wi 4    /\ wa 360    /\ w3a 937
This theorem is referenced by:  nllyrest  17551  stoweidlem56  27783  cdlemblem  30592  cdleme21  31136  cdleme22b  31140  cdleme40m  31266  cdlemg34  31511  cdlemk5u  31660  cdlemk6u  31661  cdlemk21N  31672  cdlemk20  31673  cdlemk26b-3  31704  cdlemk26-3  31705  cdlemk28-3  31707  cdlemky  31725  cdlemk11t  31745  cdlemkyyN  31761  dihmeetlem20N  32126
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 179  df-an 362  df-3an 939
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