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Theorem simp332 1109
Description: Simplification of conjunction. (Contributed by NM, 9-Mar-2012.)
Assertion
Ref Expression
simp332  |-  ( ( et  /\  ze  /\  ( th  /\  ta  /\  ( ph  /\  ps  /\  ch ) ) )  ->  ps )

Proof of Theorem simp332
StepHypRef Expression
1 simp32 992 . 2  |-  ( ( th  /\  ta  /\  ( ph  /\  ps  /\  ch ) )  ->  ps )
213ad2ant3 978 1  |-  ( ( et  /\  ze  /\  ( th  /\  ta  /\  ( ph  /\  ps  /\  ch ) ) )  ->  ps )
Colors of variables: wff set class
Syntax hints:    -> wi 4    /\ w3a 934
This theorem is referenced by:  ivthALT  26361  dalemclqjt  30446  dath2  30548  cdlema1N  30602  cdleme26eALTN  31172  cdlemk7u  31681  cdlemk11u  31682  cdlemk12u  31683  cdlemk23-3  31713  cdlemk33N  31720  cdlemk11ta  31740  cdlemk11tc  31756  cdlemk54  31769
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
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