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Theorem simp1r1 1101
Description: Simplification of conjunction. (Contributed by NM, 9-Mar-2012.)
Assertion
Ref Expression
simp1r1  |-  ( ( ( th  /\  ( ph  /\  ps  /\  ch ) )  /\  ta  /\  et )  ->  ph )

Proof of Theorem simp1r1
StepHypRef Expression
1 simpr1 1011 . 2  |-  ( ( th  /\  ( ph  /\ 
ps  /\  ch )
)  ->  ph )
213ad2ant1 1026 1  |-  ( ( ( th  /\  ( ph  /\  ps  /\  ch ) )  /\  ta  /\  et )  ->  ph )
Colors of variables: wff setvar class
Syntax hints:    -> wi 4    /\ wa 370    /\ w3a 982
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 188  df-an 372  df-3an 984
This theorem is referenced by:  trisegint  30606  lshpkrlem6  32419  atbtwnexOLDN  32750  atbtwnex  32751  3dim3  32772  3atlem5  32790  4atlem11  32912  4atexlem7  33378  cdleme22b  33646
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