Description: Commutation of antecedents. Swap 2nd and 4th. Deduction associated with com13 . (Contributed by NM, 25-Apr-1994) (Proof shortened by Wolf Lammen, 28-Jul-2012)
| Ref | Expression | ||
|---|---|---|---|
| Hypothesis | com4.1 | |- ( ph -> ( ps -> ( ch -> ( th -> ta ) ) ) ) |
|
| Assertion | com24 | |- ( ph -> ( th -> ( ch -> ( ps -> ta ) ) ) ) |
| Step | Hyp | Ref | Expression |
|---|---|---|---|
| 1 | com4.1 | |- ( ph -> ( ps -> ( ch -> ( th -> ta ) ) ) ) |
|
| 2 | 1 | com4t | |- ( ch -> ( th -> ( ph -> ( ps -> ta ) ) ) ) |
| 3 | 2 | com13 | |- ( ph -> ( th -> ( ch -> ( ps -> ta ) ) ) ) |