Theorem exp520 1174

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

Hypothesis

Ref	Expression
exp520.1	|- ( ( ( ph /\ ps /\ ch ) /\ ( th /\ ta ) ) -> et )

Assertion

Ref	Expression
exp520	|- ( ph -> ( ps -> ( ch -> ( th -> ( ta -> et ) ) ) ) )

Proof of Theorem exp520

Step	Hyp	Ref	Expression
1		exp520.1	. . 3 |- ( ( ( ph /\ ps /\ ch ) /\ ( th /\ ta ) ) -> et )
2	1	ex 424	. 2 |- ( ( ph /\ ps /\ ch ) -> ( ( th /\ ta ) -> et ) )
3	2	exp5o 1172	1 |- ( ph -> ( ps -> ( ch -> ( th -> ( ta -> et ) ) ) ) )

Syntax hints:   -> wi 4   /\ wa 359   /\ w3a 936

This theorem is referenced by:  omwordri  6782  oewordri  6802  pclfinclN  30444

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

This theorem depends on definitions:  df-bi 178  df-an 361  df-3an 938