Theorem simp2lr

Description: Simplification of conjunction. (Contributed by NM, 9-Mar-2012)

	Ref	Expression
Assertion	simp2lr	$$⊢\left(\theta \wedge \left(\left(\phi \wedge \psi \right)\wedge \chi \right)\wedge \tau \right)\to \psi$$

Proof

Step	Hyp	Ref	Expression
1		simplr	$$⊢\left(\left(\phi \wedge \psi \right)\wedge \chi \right)\to \psi$$
2	1	3ad2ant2	$$⊢\left(\theta \wedge \left(\left(\phi \wedge \psi \right)\wedge \chi \right)\wedge \tau \right)\to \psi$$