Metamath Proof Explorer

Theorem simp121

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

		Ref	Expression
	Assertion	simp121	$⊢ ((θ \land (φ \land ψ \land χ) \land τ) \land η \land ζ) \to φ$

Step	Hyp	Ref	Expression
1		simp21	$⊢ (θ \land (φ \land ψ \land χ) \land τ) \to φ$
2	1	3ad2ant1	$⊢ ((θ \land (φ \land ψ \land χ) \land τ) \land η \land ζ) \to φ$