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Theorem simp1r3 1056
Description: Simplification of conjunction. (Contributed by NM, 9-Mar-2012.)
Assertion
Ref Expression
simp1r3  |-  ( ( ( th  /\  ( ph  /\  ps  /\  ch ) )  /\  ta  /\  et )  ->  ch )

Proof of Theorem simp1r3
StepHypRef Expression
1 simpr3 966 . 2  |-  ( ( th  /\  ( ph  /\ 
ps  /\  ch )
)  ->  ch )
213ad2ant1 979 1  |-  ( ( ( th  /\  ( ph  /\  ps  /\  ch ) )  /\  ta  /\  et )  ->  ch )
Colors of variables: wff set class
Syntax hints:    -> wi 4    /\ wa 360    /\ w3a 937
This theorem is referenced by:  stoweidlem60  27787  lshpkrlem6  29975  atbtwnexOLDN  30306  atbtwnex  30307  3dim3  30328  3atlem5  30346  lplnle  30399  4atlem11  30468  4atexlem7  30934  cdleme22b  31200
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 179  df-an 362  df-3an 939
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