Description: First-order logic and set theory. (Contributed by Jonathan Ben-Naim, 3-Jun-2011) (New usage is discouraged.)
| Ref | Expression | ||
|---|---|---|---|
| Hypotheses | bnj1213.1 | |- A C_ B |
|
| bnj1213.2 | |- ( th -> x e. A ) |
||
| Assertion | bnj1213 | |- ( th -> x e. B ) |
| Step | Hyp | Ref | Expression |
|---|---|---|---|
| 1 | bnj1213.1 | |- A C_ B |
|
| 2 | bnj1213.2 | |- ( th -> x e. A ) |
|
| 3 | 1 2 | sselid | |- ( th -> x e. B ) |