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Theorem simp2l3 1098
Description: Simplification of conjunction. (Contributed by NM, 9-Mar-2012.)
Assertion
Ref Expression
simp2l3  |-  ( ( ta  /\  ( (
ph  /\  ps  /\  ch )  /\  th )  /\  et )  ->  ch )

Proof of Theorem simp2l3
StepHypRef Expression
1 simpl3 1002 . 2  |-  ( ( ( ph  /\  ps  /\ 
ch )  /\  th )  ->  ch )
213ad2ant2 1019 1  |-  ( ( ta  /\  ( (
ph  /\  ps  /\  ch )  /\  th )  /\  et )  ->  ch )
Colors of variables: wff setvar class
Syntax hints:    -> wi 4    /\ wa 367    /\ w3a 974
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 185  df-an 369  df-3an 976
This theorem is referenced by:  btwnconn1lem8  30419  btwnconn1lem12  30423  2lplnja  32616  cdlemk21-2N  33890  cdlemk19xlem  33941  jm2.27  35292
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