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Theorem simp1r2 1012
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 922 . 2  |-  ( ( th  /\  ( ph  /\ 
ps  /\  ch )
)  ->  ps )
213ad2ant1 936 1  |-  ( ( ( th  /\  ( ph  /\  ps  /\  ch ) )  /\  ta  /\  et )  ->  ps )
Colors of variables: wff set class
Syntax hints:    -> wi 4    /\ wa 101    /\ w3a 896
This theorem was proved from axioms:  ax-1 5  ax-2 6  ax-mp 7  ax-ia1 103  ax-ia2 104  ax-ia3 105
This theorem depends on definitions:  df-bi 114  df-3an 898
This theorem is referenced by: (None)
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