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 ) |