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Theorem simp212 1130
Description: Simplification of conjunction. (Contributed by NM, 9-Mar-2012.)
Assertion
Ref Expression
simp212  |-  ( ( et  /\  ( (
ph  /\  ps  /\  ch )  /\  th  /\  ta )  /\  ze )  ->  ps )

Proof of Theorem simp212
StepHypRef Expression
1 simp12 1022 . 2  |-  ( ( ( ph  /\  ps  /\ 
ch )  /\  th  /\  ta )  ->  ps )
213ad2ant2 1013 1  |-  ( ( et  /\  ( (
ph  /\  ps  /\  ch )  /\  th  /\  ta )  /\  ze )  ->  ps )
Colors of variables: wff setvar class
Syntax hints:    -> wi 4    /\ w3a 968
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 185  df-an 371  df-3an 970
This theorem is referenced by:  cdleme27a  35038  cdlemk5u  35532  cdlemk6u  35533  cdlemk7u  35541  cdlemk11u  35542  cdlemk12u  35543  cdlemk7u-2N  35559  cdlemk11u-2N  35560  cdlemk12u-2N  35561  cdlemk20-2N  35563  cdlemk22  35564  cdlemk22-3  35572  cdlemk33N  35580  cdlemk53b  35627  cdlemk53  35628  cdlemk55a  35630  cdlemkyyN  35633  cdlemk43N  35634
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