Description: Commutation of antecedents. Swap 1st and 4th. (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 | com14 | |- ( th -> ( ps -> ( ch -> ( ph -> ta ) ) ) ) |
| Step | Hyp | Ref | Expression |
|---|---|---|---|
| 1 | com4.1 | |- ( ph -> ( ps -> ( ch -> ( th -> ta ) ) ) ) |
|
| 2 | 1 | com4l | |- ( ps -> ( ch -> ( th -> ( ph -> ta ) ) ) ) |
| 3 | 2 | com3r | |- ( th -> ( ps -> ( ch -> ( ph -> ta ) ) ) ) |