Theorem simp3l

Description: Simplification of triple conjunction. (Contributed by NM, 9-Nov-2011)

	Ref	Expression
Assertion	simp3l	$$⊢\left(\phi \wedge \psi \wedge \left(\chi \wedge \theta \right)\right)\to \chi$$

Proof

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