Description: Deduction eliminating a double conjunct. (Contributed by Glauco Siliprandi, 11-Dec-2019)
| Ref | Expression | ||
|---|---|---|---|
| Hypothesis | simprld.1 | |- ( ph -> ( ps /\ ( ch /\ th ) ) ) |
|
| Assertion | simprld | |- ( ph -> ch ) |
| Step | Hyp | Ref | Expression |
|---|---|---|---|
| 1 | simprld.1 | |- ( ph -> ( ps /\ ( ch /\ th ) ) ) |
|
| 2 | 1 | simprd | |- ( ph -> ( ch /\ th ) ) |
| 3 | 2 | simpld | |- ( ph -> ch ) |