Description: The range of a set is a set. Deduction version of rnexd . (Contributed by Thierry Arnoux, 14-Feb-2025)
| Ref | Expression | ||
|---|---|---|---|
| Hypothesis | rnexd.1 | |- ( ph -> A e. V ) |
|
| Assertion | rnexd | |- ( ph -> ran A e. _V ) |
| Step | Hyp | Ref | Expression |
|---|---|---|---|
| 1 | rnexd.1 | |- ( ph -> A e. V ) |
|
| 2 | rnexg | |- ( A e. V -> ran A e. _V ) |
|
| 3 | 1 2 | syl | |- ( ph -> ran A e. _V ) |