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Theorem simpll3 980
Description: Simplification of conjunction. (Contributed by NM, 9-Mar-2012.)
Assertion
Ref Expression
simpll3  |-  ( ( ( ( ph  /\  ps  /\  ch )  /\  th )  /\  ta )  ->  ch )

Proof of Theorem simpll3
StepHypRef Expression
1 simpl3 944 . 2  |-  ( ( ( ph  /\  ps  /\ 
ch )  /\  th )  ->  ch )
21adantr 270 1  |-  ( ( ( ( ph  /\  ps  /\  ch )  /\  th )  /\  ta )  ->  ch )
Colors of variables: wff set class
Syntax hints:    -> wi 4    /\ wa 102    /\ w3a 920
This theorem was proved from axioms:  ax-1 5  ax-2 6  ax-mp 7  ax-ia1 104  ax-ia2 105  ax-ia3 106
This theorem depends on definitions:  df-bi 115  df-3an 922
This theorem is referenced by:  frirrg  4113  fidceq  6404  fidifsnen  6405  en2eqpr  6434  ordiso2  6505  addlocpr  6788  aptiprlemu  6892  icoshftf1o  9089  fztri3or  9134  elfzonelfzo  9316  expival  9575  sizeun  9829  subcn2  10288  divalglemeuneg  10467  dvdslegcd  10500  lcmledvds  10596  rpdvds  10625  cncongr2  10630
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