Description: Commutation of antecedents. Swap 3rd and 4th. Deduction associated with com23 . Double deduction associated with com12 . (Contributed by NM, 25-Apr-1994)
| Ref | Expression | ||
|---|---|---|---|
| Hypothesis | com4.1 | |- ( ph -> ( ps -> ( ch -> ( th -> ta ) ) ) ) |
|
| Assertion | com34 | |- ( ph -> ( ps -> ( th -> ( ch -> ta ) ) ) ) |
| Step | Hyp | Ref | Expression |
|---|---|---|---|
| 1 | com4.1 | |- ( ph -> ( ps -> ( ch -> ( th -> ta ) ) ) ) |
|
| 2 | pm2.04 | |- ( ( ch -> ( th -> ta ) ) -> ( th -> ( ch -> ta ) ) ) |
|
| 3 | 1 2 | syl6 | |- ( ph -> ( ps -> ( th -> ( ch -> ta ) ) ) ) |