Theorem exp5o

Description: A triple exportation inference. (Contributed by Jeff Hankins, 8-Jul-2009)

	Ref	Expression
Hypothesis	exp5o.1	|- ( ( ph /\ ps /\ ch ) -> ( ( th /\ ta ) -> et ) )
Assertion	exp5o	|- ( ph -> ( ps -> ( ch -> ( th -> ( ta -> et ) ) ) ) )

Proof

Step	Hyp	Ref	Expression
1		exp5o.1	|- ( ( ph /\ ps /\ ch ) -> ( ( th /\ ta ) -> et ) )
2	1	expd	|- ( ( ph /\ ps /\ ch ) -> ( th -> ( ta -> et ) ) )
3	2	3exp	|- ( ph -> ( ps -> ( ch -> ( th -> ( ta -> et ) ) ) ) )