Theorem exp5g

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

	Ref	Expression
Hypothesis	exp5g.1	|- ( ( ph /\ ps ) -> ( ( ( ch /\ th ) /\ ta ) -> et ) )
Assertion	exp5g	|- ( ph -> ( ps -> ( ch -> ( th -> ( ta -> et ) ) ) ) )

Proof

Step	Hyp	Ref	Expression
1		exp5g.1	|- ( ( ph /\ ps ) -> ( ( ( ch /\ th ) /\ ta ) -> et ) )
2	1	exp4c	|- ( ( ph /\ ps ) -> ( ch -> ( th -> ( ta -> et ) ) ) )
3	2	ex	|- ( ph -> ( ps -> ( ch -> ( th -> ( ta -> et ) ) ) ) )