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Metamath Proof Explorer

Theorem simp1l2

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

		Ref	Expression
	Assertion	simp1l2	$⊢ (((φ \land ψ \land χ) \land θ) \land τ \land η) \to ψ$

Step	Hyp	Ref	Expression
1		simpl2	$⊢ ((φ \land ψ \land χ) \land θ) \to ψ$
2	1	3ad2ant1	$⊢ (((φ \land ψ \land χ) \land θ) \land τ \land η) \to ψ$