Description: Inference form of exbir . This proof is exbiriVD automatically translated and minimized. (Contributed by Alan Sare, 31-Dec-2011) (Proof shortened by Wolf Lammen, 27-Jan-2013)
| Ref | Expression | ||
|---|---|---|---|
| Hypothesis | exbiri.1 | |- ( ( ph /\ ps ) -> ( ch <-> th ) ) |
|
| Assertion | exbiri | |- ( ph -> ( ps -> ( th -> ch ) ) ) |
| Step | Hyp | Ref | Expression |
|---|---|---|---|
| 1 | exbiri.1 | |- ( ( ph /\ ps ) -> ( ch <-> th ) ) |
|
| 2 | 1 | biimpar | |- ( ( ( ph /\ ps ) /\ th ) -> ch ) |
| 3 | 2 | exp31 | |- ( ph -> ( ps -> ( th -> ch ) ) ) |