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Metamath Proof Explorer

Theorem simp33l

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

		Ref	Expression
	Assertion	simp33l	$⊢ (τ \land η \land (χ \land θ \land (φ \land ψ))) \to φ$

Step	Hyp	Ref	Expression
1		simp3l	$⊢ (χ \land θ \land (φ \land ψ)) \to φ$
2	1	3ad2ant3	$⊢ (τ \land η \land (χ \land θ \land (φ \land ψ))) \to φ$