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Theorem simp1r2 1093
Description: Simplification of conjunction. (Contributed by NM, 9-Mar-2012.)
Assertion
Ref Expression
simp1r2  |-  ( ( ( th  /\  ( ph  /\  ps  /\  ch ) )  /\  ta  /\  et )  ->  ps )

Proof of Theorem simp1r2
StepHypRef Expression
1 simpr2 1003 . 2  |-  ( ( th  /\  ( ph  /\ 
ps  /\  ch )
)  ->  ps )
213ad2ant1 1017 1  |-  ( ( ( th  /\  ( ph  /\  ps  /\  ch ) )  /\  ta  /\  et )  ->  ps )
Colors of variables: wff setvar class
Syntax hints:    -> wi 4    /\ wa 369    /\ w3a 973
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 975
This theorem is referenced by:  monmatcollpw  19075  lshpkrlem6  33930  atbtwnexOLDN  34261  atbtwnex  34262  3dim3  34283  4atlem11  34423  4atexlem7  34889  cdleme22b  35155
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