Theorem anabsi6

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

	Ref	Expression
Hypothesis	anabsi6.1	|- ( ph -> ( ( ps /\ ph ) -> ch ) )
Assertion	anabsi6	|- ( ( ph /\ ps ) -> ch )

Proof

Step	Hyp	Ref	Expression
1		anabsi6.1	|- ( ph -> ( ( ps /\ ph ) -> ch ) )
2	1	ancomsd	|- ( ph -> ( ( ph /\ ps ) -> ch ) )
3	2	anabsi5	|- ( ( ph /\ ps ) -> ch )