Description: The range of a partial function. (Contributed by Glauco Siliprandi, 26-Jun-2021)
Ref | Expression | ||
---|---|---|---|
Assertion | elpmrn | |- ( F e. ( A ^pm B ) -> ran F C_ A ) |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | elpmi | |- ( F e. ( A ^pm B ) -> ( F : dom F --> A /\ dom F C_ B ) ) |
|
2 | 1 | simpld | |- ( F e. ( A ^pm B ) -> F : dom F --> A ) |
3 | 2 | frnd | |- ( F e. ( A ^pm B ) -> ran F C_ A ) |