Theorem anabss4

Description: Absorption of antecedent into conjunction. (Contributed by NM, 20-Jul-1996)

	Ref	Expression
Hypothesis	anabss4.1	$$⊢\left(\left(\psi \wedge \phi \right)\wedge \psi \right)\to \chi$$
Assertion	anabss4	$$⊢\left(\phi \wedge \psi \right)\to \chi$$

Proof

Step	Hyp	Ref	Expression
1		anabss4.1	$$⊢\left(\left(\psi \wedge \phi \right)\wedge \psi \right)\to \chi$$
2	1	anabss1	$$⊢\left(\psi \wedge \phi \right)\to \chi$$
3	2	ancoms	$$⊢\left(\phi \wedge \psi \right)\to \chi$$