Description: Exportation from right triple conjunction. (Contributed by NM, 26-Oct-2006)
Ref | Expression | ||
---|---|---|---|
Hypothesis | 3exp2.1 | |- ( ( ph /\ ( ps /\ ch /\ th ) ) -> ta ) |
|
Assertion | 3exp2 | |- ( ph -> ( ps -> ( ch -> ( th -> ta ) ) ) ) |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | 3exp2.1 | |- ( ( ph /\ ( ps /\ ch /\ th ) ) -> ta ) |
|
2 | 1 | ex | |- ( ph -> ( ( ps /\ ch /\ th ) -> ta ) ) |
3 | 2 | 3expd | |- ( ph -> ( ps -> ( ch -> ( th -> ta ) ) ) ) |