Description: Universally quantified and uncurried (imported) form of syllogism. Theorem *10.3 in WhiteheadRussell p. 150. (Contributed by Andrew Salmon, 8-Jun-2011)
| Ref | Expression | ||
|---|---|---|---|
| Assertion | alsyl | |- ( ( A. x ( ph -> ps ) /\ A. x ( ps -> ch ) ) -> A. x ( ph -> ch ) ) |
| Step | Hyp | Ref | Expression |
|---|---|---|---|
| 1 | pm3.33 | |- ( ( ( ph -> ps ) /\ ( ps -> ch ) ) -> ( ph -> ch ) ) |
|
| 2 | 1 | alanimi | |- ( ( A. x ( ph -> ps ) /\ A. x ( ps -> ch ) ) -> A. x ( ph -> ch ) ) |