Metamath Proof Explorer

Theorem simp311

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

		Ref	Expression
	Assertion	simp311	$⊢ (η \land ζ \land ((φ \land ψ \land χ) \land θ \land τ)) \to φ$

Step	Hyp	Ref	Expression
1		simp11	$⊢ ((φ \land ψ \land χ) \land θ \land τ) \to φ$
2	1	3ad2ant3	$⊢ (η \land ζ \land ((φ \land ψ \land χ) \land θ \land τ)) \to φ$