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Theorem simp321 1105
Description: Simplification of conjunction. (Contributed by NM, 9-Mar-2012.)
Assertion
Ref Expression
simp321  |-  ( ( et  /\  ze  /\  ( th  /\  ( ph  /\ 
ps  /\  ch )  /\  ta ) )  ->  ph )

Proof of Theorem simp321
StepHypRef Expression
1 simp21 988 . 2  |-  ( ( th  /\  ( ph  /\ 
ps  /\  ch )  /\  ta )  ->  ph )
213ad2ant3 978 1  |-  ( ( et  /\  ze  /\  ( th  /\  ( ph  /\ 
ps  /\  ch )  /\  ta ) )  ->  ph )
Colors of variables: wff set class
Syntax hints:    -> wi 4    /\ w3a 934
This theorem is referenced by:  dalemcnes  29912  dalempnes  29913  dalemrot  29919  dath2  29999  cdleme18d  30557  cdleme20i  30579  cdleme20j  30580  cdleme20l2  30583  cdleme20l  30584  cdleme20m  30585  cdleme20  30586  cdleme21j  30598  cdleme22eALTN  30607  cdlemk16a  31118  cdlemk12u-2N  31152  cdlemk21-2N  31153  cdlemk22  31155  cdlemk31  31158  cdlemk32  31159  cdlemk11ta  31191  cdlemk11tc  31207
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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