Theorem anabsi7

Description: Absorption of antecedent into conjunction. (Contributed by NM, 20-Jul-1996) (Proof shortened by Wolf Lammen, 18-Nov-2013)

	Ref	Expression
Hypothesis	anabsi7.1	|- ( ps -> ( ( ph /\ ps ) -> ch ) )
Assertion	anabsi7	|- ( ( ph /\ ps ) -> ch )

Proof

Step	Hyp	Ref	Expression
1		anabsi7.1	|- ( ps -> ( ( ph /\ ps ) -> ch ) )
2	1	anabsi6	|- ( ( ps /\ ph ) -> ch )
3	2	ancoms	|- ( ( ph /\ ps ) -> ch )