Description: Deduction adding three conjuncts to antecedent. (Contributed by NM, 28-Jul-2012)
| Ref | Expression | ||
|---|---|---|---|
| Hypothesis | ad2ant.1 | |- ( ph -> ps ) |
|
| Assertion | ad3antrrr | |- ( ( ( ( ph /\ ch ) /\ th ) /\ ta ) -> ps ) |
| Step | Hyp | Ref | Expression |
|---|---|---|---|
| 1 | ad2ant.1 | |- ( ph -> ps ) |
|
| 2 | 1 | adantr | |- ( ( ph /\ ch ) -> ps ) |
| 3 | 2 | ad2antrr | |- ( ( ( ( ph /\ ch ) /\ th ) /\ ta ) -> ps ) |