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Theorem simp212 1085
Description: Simplification of conjunction. (Contributed by NM, 9-Mar-2012.)
Assertion
Ref Expression
simp212  |-  ( ( et  /\  ( (
ph  /\  ps  /\  ch )  /\  th  /\  ta )  /\  ze )  ->  ps )

Proof of Theorem simp212
StepHypRef Expression
1 simp12 977 . 2  |-  ( ( ( ph  /\  ps  /\ 
ch )  /\  th  /\  ta )  ->  ps )
213ad2ant2 968 1  |-  ( ( et  /\  ( (
ph  /\  ps  /\  ch )  /\  th  /\  ta )  /\  ze )  ->  ps )
Colors of variables: wff set class
Syntax hints:    -> wi 4    /\ w3a 927
This theorem was proved from axioms:  ax-1 5  ax-2 6  ax-mp 7  ax-ia1 105  ax-ia2 106  ax-ia3 107
This theorem depends on definitions:  df-bi 116  df-3an 929
This theorem is referenced by: (None)
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