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Theorem simp1l3 1050
Description: Simplification of conjunction. (Contributed by NM, 9-Mar-2012.)
Assertion
Ref Expression
simp1l3  |-  ( ( ( ( ph  /\  ps  /\  ch )  /\  th )  /\  ta  /\  et )  ->  ch )

Proof of Theorem simp1l3
StepHypRef Expression
1 simpl3 960 . 2  |-  ( ( ( ph  /\  ps  /\ 
ch )  /\  th )  ->  ch )
213ad2ant1 976 1  |-  ( ( ( ( ph  /\  ps  /\  ch )  /\  th )  /\  ta  /\  et )  ->  ch )
Colors of variables: wff set class
Syntax hints:    -> wi 4    /\ wa 358    /\ w3a 934
This theorem is referenced by:  btwnconn1lem7  24716  btwnconn1lem12  24721  linethru  24776  hlrelat3  29601  cvrval3  29602  2atlt  29628  atbtwnex  29637  1cvratlt  29663  2llnmat  29713  lplnexllnN  29753  4atlem11  29798  lnjatN  29969  lncvrat  29971  lncmp  29972  cdlemd9  30395  dihord5b  31449  dihmeetALTN  31517  dih1dimatlem0  31518  mapdrvallem2  31835
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 177  df-an 360  df-3an 936
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