Description: The importation inference 3imp with commutation of the first and third conjuncts of the assertion relative to the hypothesis. (Contributed by Alan Sare, 11-Sep-2016)
| Ref | Expression | ||
|---|---|---|---|
| Hypothesis | 3imp.1 | |- ( ph -> ( ps -> ( ch -> th ) ) ) |
|
| Assertion | 3imp31 | |- ( ( ch /\ ps /\ ph ) -> th ) |
| Step | Hyp | Ref | Expression |
|---|---|---|---|
| 1 | 3imp.1 | |- ( ph -> ( ps -> ( ch -> th ) ) ) |
|
| 2 | 1 | com13 | |- ( ch -> ( ps -> ( ph -> th ) ) ) |
| 3 | 2 | 3imp | |- ( ( ch /\ ps /\ ph ) -> th ) |