Theorem anabsan2

Description: Absorption of antecedent with conjunction. (Contributed by NM, 10-May-2004)

	Ref	Expression
Hypothesis	anabsan2.1	$$⊢\left(\phi \wedge \left(\psi \wedge \psi \right)\right)\to \chi$$
Assertion	anabsan2	$$⊢\left(\phi \wedge \psi \right)\to \chi$$

Proof

Step	Hyp	Ref	Expression
1		anabsan2.1	$$⊢\left(\phi \wedge \left(\psi \wedge \psi \right)\right)\to \chi$$
2	1	an12s	$$⊢\left(\psi \wedge \left(\phi \wedge \psi \right)\right)\to \chi$$
3	2	anabss7	$$⊢\left(\phi \wedge \psi \right)\to \chi$$