Description: Deduction adding conjuncts to an antecedent. (Contributed by NM, 21-Apr-2005)
Ref | Expression | ||
---|---|---|---|
Hypothesis | 3ad2ant.1 | |- ( ph -> ch ) |
|
Assertion | 3ad2ant1 | |- ( ( ph /\ ps /\ th ) -> ch ) |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | 3ad2ant.1 | |- ( ph -> ch ) |
|
2 | 1 | adantr | |- ( ( ph /\ th ) -> ch ) |
3 | 2 | 3adant2 | |- ( ( ph /\ ps /\ th ) -> ch ) |