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Theorem simp12 986
Description: Simplification of doubly triple conjunction. (Contributed by NM, 17-Nov-2011.)
Assertion
Ref Expression
simp12 (((φ ψ χ) θ τ) → ψ)

Proof of Theorem simp12
StepHypRef Expression
1 simp2 956 . 2 ((φ ψ χ) → ψ)
213ad2ant1 976 1 (((φ ψ χ) θ τ) → ψ)
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:  simpl12  1031  simpr12  1040  simp112  1085  simp212  1094  simp312  1103
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