Theorem simp2l3

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

	Ref	Expression
Assertion	simp2l3	$$⊢\left(\tau \wedge \left(\left(\phi \wedge \psi \wedge \chi \right)\wedge \theta \right)\wedge \eta \right)\to \chi$$

Proof

Step	Hyp	Ref	Expression
1		simpl3	$$⊢\left(\left(\phi \wedge \psi \wedge \chi \right)\wedge \theta \right)\to \chi$$
2	1	3ad2ant2	$$⊢\left(\tau \wedge \left(\left(\phi \wedge \psi \wedge \chi \right)\wedge \theta \right)\wedge \eta \right)\to \chi$$