Description: The domain of a set is a set. (Contributed by Glauco Siliprandi, 26-Jun-2021)
| Ref | Expression | ||
|---|---|---|---|
| Hypothesis | dmexd.1 | |- ( ph -> A e. V ) |
|
| Assertion | dmexd | |- ( ph -> dom A e. _V ) |
| Step | Hyp | Ref | Expression |
|---|---|---|---|
| 1 | dmexd.1 | |- ( ph -> A e. V ) |
|
| 2 | dmexg | |- ( A e. V -> dom A e. _V ) |
|
| 3 | 1 2 | syl | |- ( ph -> dom A e. _V ) |