Theorem anabsi8

Description: Absorption of antecedent into conjunction. (Contributed by NM, 26-Sep-1999)

	Ref	Expression
Hypothesis	anabsi8.1	$$⊢\psi \to \left(\left(\psi \wedge \phi \right)\to \chi \right)$$
Assertion	anabsi8	$$⊢\left(\phi \wedge \psi \right)\to \chi$$

Proof

Step	Hyp	Ref	Expression
1		anabsi8.1	$$⊢\psi \to \left(\left(\psi \wedge \phi \right)\to \chi \right)$$
2	1	anabsi5	$$⊢\left(\psi \wedge \phi \right)\to \chi$$
3	2	ancoms	$$⊢\left(\phi \wedge \psi \right)\to \chi$$