Description: Double deduction introducing two antecedents. Two applications of 2a1dd . Deduction associated with 2a1d . Double deduction associated with 2a1 and 2a1i . (Contributed by Jeff Hankins, 5-Aug-2009)
| Ref | Expression | ||
|---|---|---|---|
| Hypothesis | 2a1dd.1 | |- ( ph -> ( ps -> ch ) ) |
|
| Assertion | 2a1dd | |- ( ph -> ( ps -> ( th -> ( ta -> ch ) ) ) ) |
| Step | Hyp | Ref | Expression |
|---|---|---|---|
| 1 | 2a1dd.1 | |- ( ph -> ( ps -> ch ) ) |
|
| 2 | 1 | a1dd | |- ( ph -> ( ps -> ( ta -> ch ) ) ) |
| 3 | 2 | a1dd | |- ( ph -> ( ps -> ( th -> ( ta -> ch ) ) ) ) |