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Theorem simp223 1107
Description: Simplification of conjunction. (Contributed by NM, 9-Mar-2012.)
Assertion
Ref Expression
simp223  |-  ( ( et  /\  ( th 
/\  ( ph  /\  ps  /\  ch )  /\  ta )  /\  ze )  ->  ch )

Proof of Theorem simp223
StepHypRef Expression
1 simp23 999 . 2  |-  ( ( th  /\  ( ph  /\ 
ps  /\  ch )  /\  ta )  ->  ch )
213ad2ant2 986 1  |-  ( ( et  /\  ( th 
/\  ( ph  /\  ps  /\  ch )  /\  ta )  /\  ze )  ->  ch )
Colors of variables: wff set class
Syntax hints:    -> wi 4    /\ w3a 945
This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-ia1 105  ax-ia2 106  ax-ia3 107
This theorem depends on definitions:  df-bi 116  df-3an 947
This theorem is referenced by: (None)
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