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Metamath Proof Explorer

Theorem simp22

Description: Simplification of doubly triple conjunction. (Contributed by NM, 17-Nov-2011)

		Ref	Expression
	Assertion	simp22	$⊢ (φ \land (ψ \land χ \land θ) \land τ) \to χ$

Step	Hyp	Ref	Expression
1		simp2	$⊢ (ψ \land χ \land θ) \to χ$
2	1	3ad2ant2	$⊢ (φ \land (ψ \land χ \land θ) \land τ) \to χ$