Metamath Proof Explorer

Theorem simp231

Description: Simplification of conjunction. (Contributed by NM, 9-Mar-2012)

		Ref	Expression
	Assertion	simp231	$⊢ (η \land (θ \land τ \land (φ \land ψ \land χ)) \land ζ) \to φ$

Step	Hyp	Ref	Expression
1		simp31	$⊢ (θ \land τ \land (φ \land ψ \land χ)) \to φ$
2	1	3ad2ant2	$⊢ (η \land (θ \land τ \land (φ \land ψ \land χ)) \land ζ) \to φ$