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Theorem simp31 991
Description: Simplification of doubly triple conjunction. (Contributed by NM, 17-Nov-2011.)
Assertion
Ref Expression
simp31

Proof of Theorem simp31
StepHypRef Expression
1 simp1 955 . 2
213ad2ant3 978 1
Colors of variables: wff setvar class
Syntax hints:   wi 4   w3a 934
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 177  df-an 360  df-3an 936
This theorem is referenced by:  simpl31  1036  simpr31  1045  simp131  1090  simp231  1099  simp331  1108  tfin11  4493
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