Theorem imp45

Description: An importation inference. (Contributed by NM, 26-Apr-1994)

	Ref	Expression
Hypothesis	imp4.1	|- ( ph -> ( ps -> ( ch -> ( th -> ta ) ) ) )
Assertion	imp45	|- ( ( ph /\ ( ps /\ ( ch /\ th ) ) ) -> ta )

Proof

Step	Hyp	Ref	Expression
1		imp4.1	|- ( ph -> ( ps -> ( ch -> ( th -> ta ) ) ) )
2	1	imp4d	|- ( ph -> ( ( ps /\ ( ch /\ th ) ) -> ta ) )
3	2	imp	|- ( ( ph /\ ( ps /\ ( ch /\ th ) ) ) -> ta )