Theorem imdistanri

Description: Distribution of implication with conjunction. (Contributed by NM, 8-Jan-2002)

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

Proof

Step	Hyp	Ref	Expression
1		imdistanri.1	|- ( ph -> ( ps -> ch ) )
2	1	com12	|- ( ps -> ( ph -> ch ) )
3	2	impac	|- ( ( ps /\ ph ) -> ( ch /\ ph ) )