Metamath Proof Explorer

Theorem simp31l

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

		Ref	Expression
	Assertion	simp31l	$⊢ (τ \land η \land ((φ \land ψ) \land χ \land θ)) \to φ$

Step	Hyp	Ref	Expression
1		simp1l	$⊢ ((φ \land ψ) \land χ \land θ) \to φ$
2	1	3ad2ant3	$⊢ (τ \land η \land ((φ \land ψ) \land χ \land θ)) \to φ$