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Theorem simpr13 1041
Description: Simplification of conjunction. (Contributed by NM, 9-Mar-2012.)
Assertion
Ref Expression
simpr13  |-  ( ( et  /\  ( (
ph  /\  ps  /\  ch )  /\  th  /\  ta ) )  ->  ch )

Proof of Theorem simpr13
StepHypRef Expression
1 simp13 987 . 2  |-  ( ( ( ph  /\  ps  /\ 
ch )  /\  th  /\  ta )  ->  ch )
21adantl 452 1  |-  ( ( et  /\  ( (
ph  /\  ps  /\  ch )  /\  th  /\  ta ) )  ->  ch )
Colors of variables: wff set class
Syntax hints:    -> wi 4    /\ wa 358    /\ w3a 934
This theorem is referenced by:  cgr3tr4  24675  btwnoutside  24748  paddasslem8  30016  cdleme27a  30556
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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