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Metamath Proof Explorer

Theorem simprlr

Description: Simplification of a conjunction. (Contributed by Jeff Hankins, 28-Jul-2009)

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

Step	Hyp	Ref	Expression
1		simpr	$⊢ (ψ \land χ) \to χ$
2	1	ad2antrl	$⊢ (φ \land ((ψ \land χ) \land θ)) \to χ$