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 ) |