Theorem imdistani

Description: Distribution of implication with conjunction. (Contributed by NM, 1-Aug-1994)

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

Proof

Step	Hyp	Ref	Expression
1		imdistani.1	|- ( ph -> ( ps -> ch ) )
2	1	anc2li	|- ( ph -> ( ps -> ( ph /\ ch ) ) )
3	2	imp	|- ( ( ph /\ ps ) -> ( ph /\ ch ) )