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Theorem simp213 1131
Description: Simplification of conjunction. (Contributed by NM, 9-Mar-2012.)
Assertion
Ref Expression
simp213  |-  ( ( et  /\  ( (
ph  /\  ps  /\  ch )  /\  th  /\  ta )  /\  ze )  ->  ch )

Proof of Theorem simp213
StepHypRef Expression
1 simp13 1023 . 2  |-  ( ( ( ph  /\  ps  /\ 
ch )  /\  th  /\  ta )  ->  ch )
213ad2ant2 1013 1  |-  ( ( et  /\  ( (
ph  /\  ps  /\  ch )  /\  th  /\  ta )  /\  ze )  ->  ch )
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  35040  cdlemk5u  35534  cdlemk6u  35535  cdlemk7u  35543  cdlemk11u  35544  cdlemk12u  35545  cdlemk7u-2N  35561  cdlemk11u-2N  35562  cdlemk12u-2N  35563  cdlemk20-2N  35565  cdlemk22  35566  cdlemk22-3  35574  cdlemk33N  35582  cdlemk53b  35629  cdlemk53  35630  cdlemk55a  35632  cdlemkyyN  35635  cdlemk43N  35636
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