Theorem simp3r3

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

	Ref	Expression
Assertion	simp3r3	$$⊢\left(\tau \wedge \eta \wedge \left(\theta \wedge \left(\phi \wedge \psi \wedge \chi \right)\right)\right)\to \chi$$

Proof

Step	Hyp	Ref	Expression
1		simpr3	$$⊢\left(\theta \wedge \left(\phi \wedge \psi \wedge \chi \right)\right)\to \chi$$
2	1	3ad2ant3	$$⊢\left(\tau \wedge \eta \wedge \left(\theta \wedge \left(\phi \wedge \psi \wedge \chi \right)\right)\right)\to \chi$$