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Theorem simp13 987
Description: Simplification of doubly triple conjunction. (Contributed by NM, 17-Nov-2011.)
Assertion
Ref Expression
simp13 (((φ ψ χ) θ τ) → χ)

Proof of Theorem simp13
StepHypRef Expression
1 simp3 957 . 2 ((φ ψ χ) → χ)
213ad2ant1 976 1 (((φ ψ χ) θ τ) → χ)
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:  simpl13  1032  simpr13  1041  simp113  1086  simp213  1095  simp313  1104
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