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Metamath Proof Explorer

Theorem simp3r

Description: Simplification of triple conjunction. (Contributed by NM, 9-Nov-2011)

		Ref	Expression
	Assertion	simp3r	$⊢ (φ \land ψ \land (χ \land θ)) \to θ$

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