This is an inofficial mirror of http://metamath.tirix.org for personal testing of a visualizer extension only.

Metamath Proof Explorer

Theorem simprrr

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

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

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