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Theorem simplr3 1026
Description: Simplification of conjunction. (Contributed by NM, 9-Mar-2012.)
Assertion
Ref Expression
simplr3  |-  ( ( ( th  /\  ( ph  /\  ps  /\  ch ) )  /\  ta )  ->  ch )

Proof of Theorem simplr3
StepHypRef Expression
1 simpr3 990 . 2  |-  ( ( th  /\  ( ph  /\ 
ps  /\  ch )
)  ->  ch )
21adantr 274 1  |-  ( ( ( th  /\  ( ph  /\  ps  /\  ch ) )  /\  ta )  ->  ch )
Colors of variables: wff set class
Syntax hints:    -> wi 4    /\ wa 103    /\ w3a 963
This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-ia1 105  ax-ia2 106  ax-ia3 107
This theorem depends on definitions:  df-bi 116  df-3an 965
This theorem is referenced by:  prarloclemlt  7323  prarloclemlo  7324  resqrexlemdecn  10814  summodclem2  11181  isumss2  11192  ennnfoneleminc  11953  restopnb  12382  blsscls2  12694
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