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Theorem simp32 992
Description: Simplification of doubly triple conjunction. (Contributed by NM, 17-Nov-2011.)
Assertion
Ref Expression
simp32 ((φ ψ (χ θ τ)) → θ)

Proof of Theorem simp32
StepHypRef Expression
1 simp2 956 . 2 ((χ θ τ) → θ)
213ad2ant3 978 1 ((φ ψ (χ θ τ)) → θ)
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:  simpl32  1037  simpr32  1046  simp132  1091  simp232  1100  simp332  1109
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