Theorem simprrr

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

	Ref	Expression
Assertion	simprrr	$$⊢\left(\phi \wedge \left(\psi \wedge \left(\chi \wedge \theta \right)\right)\right)\to \theta$$

Proof

Step	Hyp	Ref	Expression
1		simpr	$$⊢\left(\chi \wedge \theta \right)\to \theta$$
2	1	ad2antll	$$⊢\left(\phi \wedge \left(\psi \wedge \left(\chi \wedge \theta \right)\right)\right)\to \theta$$