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Theorem simp22 989
Description: Simplification of doubly triple conjunction. (Contributed by NM, 17-Nov-2011.)
Assertion
Ref Expression
simp22 ((φ (ψ χ θ) τ) → χ)

Proof of Theorem simp22
StepHypRef Expression
1 simp2 956 . 2 ((ψ χ θ) → χ)
213ad2ant2 977 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:  simpl22  1034  simpr22  1043  simp122  1088  simp222  1097  simp322  1106
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