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Theorem simpr3r 977
Description: Simplification of conjunction. (Contributed by NM, 9-Mar-2012.)
Assertion
Ref Expression
simpr3r  |-  ( ( ta  /\  ( ch 
/\  th  /\  ( ph  /\  ps ) ) )  ->  ps )

Proof of Theorem simpr3r
StepHypRef Expression
1 simp3r 944 . 2  |-  ( ( ch  /\  th  /\  ( ph  /\  ps )
)  ->  ps )
21adantl 266 1  |-  ( ( ta  /\  ( ch 
/\  th  /\  ( ph  /\  ps ) ) )  ->  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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