Description: If a class is a member of another class, then it is a set. Inference associated with elex . (Contributed by NM, 11-Jun-1994)
Ref | Expression | ||
---|---|---|---|
Hypothesis | elexi.1 | |- A e. B |
|
Assertion | elexi | |- A e. _V |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | elexi.1 | |- A e. B |
|
2 | elex | |- ( A e. B -> A e. _V ) |
|
3 | 1 2 | ax-mp | |- A e. _V |