Description: /\ -manipulation. (Contributed by Jonathan Ben-Naim, 3-Jun-2011) (New usage is discouraged.)
| Ref | Expression | ||
|---|---|---|---|
| Hypothesis | bnj707.1 | |- ( ch -> ta ) |
|
| Assertion | bnj707 | |- ( ( ph /\ ps /\ ch /\ th ) -> ta ) |
| Step | Hyp | Ref | Expression |
|---|---|---|---|
| 1 | bnj707.1 | |- ( ch -> ta ) |
|
| 2 | bnj258 | |- ( ( ph /\ ps /\ ch /\ th ) <-> ( ( ph /\ ps /\ th ) /\ ch ) ) |
|
| 3 | 2 | simprbi | |- ( ( ph /\ ps /\ ch /\ th ) -> ch ) |
| 4 | 3 1 | syl | |- ( ( ph /\ ps /\ ch /\ th ) -> ta ) |