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Metamath Proof Explorer

Theorem simp3lr

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

		Ref	Expression
	Assertion	simp3lr	$⊢ (θ \land τ \land ((φ \land ψ) \land χ)) \to ψ$

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