Description: Closed form of syl5 . Derived automatically from syl5impVD . (Contributed by Alan Sare, 31-Dec-2011) (Proof modification is discouraged.) (New usage is discouraged.)
| Ref | Expression | ||
|---|---|---|---|
| Assertion | syl5imp | |- ( ( ph -> ( ps -> ch ) ) -> ( ( th -> ps ) -> ( ph -> ( th -> ch ) ) ) ) |
| Step | Hyp | Ref | Expression |
|---|---|---|---|
| 1 | pm2.04 | |- ( ( ph -> ( ps -> ch ) ) -> ( ps -> ( ph -> ch ) ) ) |
|
| 2 | 1 | imim2d | |- ( ( ph -> ( ps -> ch ) ) -> ( ( th -> ps ) -> ( th -> ( ph -> ch ) ) ) ) |
| 3 | 2 | com34 | |- ( ( ph -> ( ps -> ch ) ) -> ( ( th -> ps ) -> ( ph -> ( th -> ch ) ) ) ) |