Description: The first argument of a binary relation exists. (An artifact of our ordered pair definition.) (Contributed by NM, 4-Jun-1998)
| Ref | Expression | ||
|---|---|---|---|
| Hypothesis | brrelexi.1 | |- Rel R |
|
| Assertion | brrelex1i | |- ( A R B -> A e. _V ) |
| Step | Hyp | Ref | Expression |
|---|---|---|---|
| 1 | brrelexi.1 | |- Rel R |
|
| 2 | brrelex1 | |- ( ( Rel R /\ A R B ) -> A e. _V ) |
|
| 3 | 1 2 | mpan | |- ( A R B -> A e. _V ) |