Description: The second member of an ordered pair of classes in a Cartesian product belongs to second Cartesian product argument. (Contributed by Mario Carneiro, 26-Apr-2015)
| Ref | Expression | ||
|---|---|---|---|
| Assertion | opelxp2 | |- ( <. A , B >. e. ( C X. D ) -> B e. D ) |
| Step | Hyp | Ref | Expression |
|---|---|---|---|
| 1 | opelxp | |- ( <. A , B >. e. ( C X. D ) <-> ( A e. C /\ B e. D ) ) |
|
| 2 | 1 | simprbi | |- ( <. A , B >. e. ( C X. D ) -> B e. D ) |