Theorem simp123

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

	Ref	Expression
Assertion	simp123	$$⊢\left(\left(\theta \wedge \left(\phi \wedge \psi \wedge \chi \right)\wedge \tau \right)\wedge \eta \wedge \zeta \right)\to \chi$$

Proof

Step	Hyp	Ref	Expression
1		simp23	$$⊢\left(\theta \wedge \left(\phi \wedge \psi \wedge \chi \right)\wedge \tau \right)\to \chi$$
2	1	3ad2ant1	$$⊢\left(\left(\theta \wedge \left(\phi \wedge \psi \wedge \chi \right)\wedge \tau \right)\wedge \eta \wedge \zeta \right)\to \chi$$