Description: The subset of a set is also a set. (Contributed by NM, 9-Sep-1993)
| Ref | Expression | ||
|---|---|---|---|
| Hypotheses | ssexi.1 | |- B e. _V |
|
| ssexi.2 | |- A C_ B |
||
| Assertion | ssexi | |- A e. _V |
| Step | Hyp | Ref | Expression |
|---|---|---|---|
| 1 | ssexi.1 | |- B e. _V |
|
| 2 | ssexi.2 | |- A C_ B |
|
| 3 | 1 | ssex | |- ( A C_ B -> A e. _V ) |
| 4 | 2 3 | ax-mp | |- A e. _V |