Theorem exp5c 599

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

Hypothesis

Ref	Expression
exp5c.1	|- (ph -> ((ps /\ ch) -> ((th /\ ta) -> et)))

Assertion

Ref	Expression
exp5c	|- (ph -> (ps -> (ch -> (th -> (ta -> et)))))

Proof of Theorem exp5c

Step	Hyp	Ref	Expression
1		exp5c.1	. . 3 |- (ph -> ((ps /\ ch) -> ((th /\ ta) -> et)))
2	1	exp4a 589	. 2 |- (ph -> ((ps /\ ch) -> (th -> (ta -> et))))
3	2	exp3a 425	1 |- (ph -> (ps -> (ch -> (th -> (ta -> et)))))

Syntax hints:   -> wi 4   /\ wa 358

This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-3 8

This theorem depends on definitions:  df-bi 177  df-an 360

This theorem is referenced by:  ssfin  4471