Description: An exportation inference. (Contributed by Jeff Hankins, 7-Jul-2009)
Ref | Expression | ||
---|---|---|---|
Hypothesis | exp5l.1 | |- ( ph -> ( ( ( ps /\ ch ) /\ ( th /\ ta ) ) -> et ) ) |
|
Assertion | exp5l | |- ( ph -> ( ps -> ( ch -> ( th -> ( ta -> et ) ) ) ) ) |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | exp5l.1 | |- ( ph -> ( ( ( ps /\ ch ) /\ ( th /\ ta ) ) -> et ) ) |
|
2 | 1 | expd | |- ( ph -> ( ( ps /\ ch ) -> ( ( th /\ ta ) -> et ) ) ) |
3 | 2 | exp5c | |- ( ph -> ( ps -> ( ch -> ( th -> ( ta -> et ) ) ) ) ) |