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Metamath Proof Explorer

Theorem simprrl

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

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

Step	Hyp	Ref	Expression
1		simpl	$⊢ (χ \land θ) \to χ$
2	1	ad2antll	$⊢ (φ \land (ψ \land (χ \land θ))) \to χ$