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Theorem simp213 1123
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 1015 . 2  |-  ( ( ( ph  /\  ps  /\ 
ch )  /\  th  /\  ta )  ->  ch )
213ad2ant2 1005 1  |-  ( ( et  /\  ( (
ph  /\  ps  /\  ch )  /\  th  /\  ta )  /\  ze )  ->  ch )
Colors of variables: wff setvar class
Syntax hints:    -> wi 4    /\ w3a 960
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 962
This theorem is referenced by:  cdleme27a  33699  cdlemk5u  34193  cdlemk6u  34194  cdlemk7u  34202  cdlemk11u  34203  cdlemk12u  34204  cdlemk7u-2N  34220  cdlemk11u-2N  34221  cdlemk12u-2N  34222  cdlemk20-2N  34224  cdlemk22  34225  cdlemk22-3  34233  cdlemk33N  34241  cdlemk53b  34288  cdlemk53  34289  cdlemk55a  34291  cdlemkyyN  34294  cdlemk43N  34295
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