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Theorem simp333 1110
Description: Simplification of conjunction. (Contributed by NM, 9-Mar-2012.)
Assertion
Ref Expression
simp333  |-  ( ( et  /\  ze  /\  ( th  /\  ta  /\  ( ph  /\  ps  /\  ch ) ) )  ->  ch )

Proof of Theorem simp333
StepHypRef Expression
1 simp33 993 . 2  |-  ( ( th  /\  ta  /\  ( ph  /\  ps  /\  ch ) )  ->  ch )
213ad2ant3 978 1  |-  ( ( et  /\  ze  /\  ( th  /\  ta  /\  ( ph  /\  ps  /\  ch ) ) )  ->  ch )
Colors of variables: wff set class
Syntax hints:    -> wi 4    /\ w3a 934
This theorem is referenced by:  ivthALT  25582  dalemclrju  29894  dath2  29995  cdlema1N  30049  cdleme26eALTN  30619  cdlemk7u  31128  cdlemk11u  31129  cdlemk12u  31130  cdlemk22  31151  cdlemk23-3  31160  cdlemk33N  31167  cdlemk11ta  31187  cdlemk11tc  31203  cdlemk54  31216
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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