Description: Exportation from left triple conjunction. (Contributed by NM, 24-Feb-2005)
Ref | Expression | ||
---|---|---|---|
Hypothesis | 3exp1.1 | |- ( ( ( ph /\ ps /\ ch ) /\ th ) -> ta ) |
|
Assertion | 3exp1 | |- ( ph -> ( ps -> ( ch -> ( th -> ta ) ) ) ) |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | 3exp1.1 | |- ( ( ( ph /\ ps /\ ch ) /\ th ) -> ta ) |
|
2 | 1 | ex | |- ( ( ph /\ ps /\ ch ) -> ( th -> ta ) ) |
3 | 2 | 3exp | |- ( ph -> ( ps -> ( ch -> ( th -> ta ) ) ) ) |