Theorem anabsi6

Description: Absorption of antecedent into conjunction. (Contributed by NM, 14-Aug-2000)

	Ref	Expression
Hypothesis	anabsi6.1	$$⊢\phi \to \left(\left(\psi \wedge \phi \right)\to \chi \right)$$
Assertion	anabsi6	$$⊢\left(\phi \wedge \psi \right)\to \chi$$

Proof

Step	Hyp	Ref	Expression
1		anabsi6.1	$$⊢\phi \to \left(\left(\psi \wedge \phi \right)\to \chi \right)$$
2	1	ancomsd	$$⊢\phi \to \left(\left(\phi \wedge \psi \right)\to \chi \right)$$
3	2	anabsi5	$$⊢\left(\phi \wedge \psi \right)\to \chi$$