Description: Separation Scheme in terms of a restricted class abstraction. (Contributed by AV, 16-Jul-2019) (Revised by AV, 26-Mar-2021)
| Ref | Expression | ||
|---|---|---|---|
| Hypotheses | rabex2.1 | |- B = { x e. A | ps } |
|
| rabex2.2 | |- A e. _V |
||
| Assertion | rabex2 | |- B e. _V |
| Step | Hyp | Ref | Expression |
|---|---|---|---|
| 1 | rabex2.1 | |- B = { x e. A | ps } |
|
| 2 | rabex2.2 | |- A e. _V |
|
| 3 | id | |- ( A e. _V -> A e. _V ) |
|
| 4 | 1 3 | rabexd | |- ( A e. _V -> B e. _V ) |
| 5 | 2 4 | ax-mp | |- B e. _V |