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Theorem simpr22 1076
Description: Simplification of conjunction. (Contributed by NM, 9-Mar-2012.)
Assertion
Ref Expression
simpr22  |-  ( ( et  /\  ( th 
/\  ( ph  /\  ps  /\  ch )  /\  ta ) )  ->  ps )

Proof of Theorem simpr22
StepHypRef Expression
1 simp22 1022 . 2  |-  ( ( th  /\  ( ph  /\ 
ps  /\  ch )  /\  ta )  ->  ps )
21adantl 466 1  |-  ( ( et  /\  ( th 
/\  ( ph  /\  ps  /\  ch )  /\  ta ) )  ->  ps )
Colors of variables: wff setvar class
Syntax hints:    -> wi 4    /\ wa 369    /\ w3a 965
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 967
This theorem is referenced by:  cgr3tr4  28226  cdleme27a  34334
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