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Theorem simp313 1104
Description: Simplification of conjunction. (Contributed by NM, 9-Mar-2012.)
Assertion
Ref Expression
simp313  |-  ( ( et  /\  ze  /\  ( ( ph  /\  ps  /\  ch )  /\  th 
/\  ta ) )  ->  ch )

Proof of Theorem simp313
StepHypRef Expression
1 simp13 987 . 2  |-  ( ( ( ph  /\  ps  /\ 
ch )  /\  th  /\  ta )  ->  ch )
213ad2ant3 978 1  |-  ( ( et  /\  ze  /\  ( ( ph  /\  ps  /\  ch )  /\  th 
/\  ta ) )  ->  ch )
Colors of variables: wff set class
Syntax hints:    -> wi 4    /\ w3a 934
This theorem is referenced by:  dalemrot  29846  dalem5  29856  dalem-cly  29860  dath2  29926  cdleme26e  30548  cdleme38m  30652  cdleme38n  30653  cdlemg28b  30892  cdlemg28  30893  cdlemk7  31037  cdlemk11  31038  cdlemk12  31039  cdlemk7u  31059  cdlemk11u  31060  cdlemk12u  31061  cdlemk22  31082  cdlemk23-3  31091  cdlemk25-3  31093
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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