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 ) |