Theorem a2i

Description: Inference distributing an antecedent. Inference associated with ax-2 . Its associated inference is mpd . (Contributed by NM, 29-Dec-1992)

	Ref	Expression
Hypothesis	a2i.1	|- ( ph -> ( ps -> ch ) )
Assertion	a2i	|- ( ( ph -> ps ) -> ( ph -> ch ) )

Proof

Step	Hyp	Ref	Expression
1		a2i.1	|- ( ph -> ( ps -> ch ) )
2		ax-2	|- ( ( ph -> ( ps -> ch ) ) -> ( ( ph -> ps ) -> ( ph -> ch ) ) )
3	1 2	ax-mp	|- ( ( ph -> ps ) -> ( ph -> ch ) )