Description: Inference conjoining a theorem to the right of a consequent. (Contributed by NM, 18-Aug-1993) (Proof shortened by Wolf Lammen, 24-Oct-2012)
Ref | Expression | ||
---|---|---|---|
Hypothesis | jctl.1 | |- ps |
|
Assertion | jctr | |- ( ph -> ( ph /\ ps ) ) |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | jctl.1 | |- ps |
|
2 | id | |- ( ph -> ph ) |
|
3 | 2 1 | jctir | |- ( ph -> ( ph /\ ps ) ) |