Theorem imp4c

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

	Ref	Expression
Hypothesis	imp4.1	|- ( ph -> ( ps -> ( ch -> ( th -> ta ) ) ) )
Assertion	imp4c	|- ( ph -> ( ( ( ps /\ ch ) /\ th ) -> ta ) )

Proof

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