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Theorem simp-4l 541
Description: Simplification of a conjunction. (Contributed by Mario Carneiro, 4-Jan-2017.)
Assertion
Ref Expression
simp-4l  |-  ( ( ( ( ( ph  /\ 
ps )  /\  ch )  /\  th )  /\  ta )  ->  ph )

Proof of Theorem simp-4l
StepHypRef Expression
1 simplll 533 . 2  |-  ( ( ( ( ph  /\  ps )  /\  ch )  /\  th )  ->  ph )
21adantr 276 1  |-  ( ( ( ( ( ph  /\ 
ps )  /\  ch )  /\  th )  /\  ta )  ->  ph )
Colors of variables: wff set class
Syntax hints:    -> wi 4    /\ wa 104
This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-ia1 106  ax-ia2 107  ax-ia3 108
This theorem is referenced by:  simp-5l  543  disjiun  3998  fnfi  6935  nninfisol  7130  sumeq2  11366  zsumdc  11391  modfsummod  11465  prodeq2  11564  zproddc  11586  mulgval  12985  cncnp  13666  fsumcncntop  13992  logbgcd1irrap  14324
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