Metamath Proof Explorer

Theorem simp11l

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

		Ref	Expression
	Assertion	simp11l	$⊢ (((φ \land ψ) \land χ \land θ) \land τ \land η) \to φ$

Step	Hyp	Ref	Expression
1		simp1l	$⊢ ((φ \land ψ) \land χ \land θ) \to φ$
2	1	3ad2ant1	$⊢ (((φ \land ψ) \land χ \land θ) \land τ \land η) \to φ$