Metamath Proof Explorer

Theorem simp2l1

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

		Ref	Expression
	Assertion	simp2l1	$⊢ (τ \land ((φ \land ψ \land χ) \land θ) \land η) \to φ$

Step	Hyp	Ref	Expression
1		simpl1	$⊢ ((φ \land ψ \land χ) \land θ) \to φ$
2	1	3ad2ant2	$⊢ (τ \land ((φ \land ψ \land χ) \land θ) \land η) \to φ$