Theorem imp55

Description: An importation inference. (Contributed by Jeff Hankins, 7-Jul-2009)

	Ref	Expression
Hypothesis	imp5.1	|- ( ph -> ( ps -> ( ch -> ( th -> ( ta -> et ) ) ) ) )
Assertion	imp55	|- ( ( ( ph /\ ( ps /\ ( ch /\ th ) ) ) /\ ta ) -> et )

Proof

Step	Hyp	Ref	Expression
1		imp5.1	|- ( ph -> ( ps -> ( ch -> ( th -> ( ta -> et ) ) ) ) )
2	1	imp4a	|- ( ph -> ( ps -> ( ( ch /\ th ) -> ( ta -> et ) ) ) )
3	2	imp42	|- ( ( ( ph /\ ( ps /\ ( ch /\ th ) ) ) /\ ta ) -> et )