Description: A function is a function on its domain. (Contributed by Glauco Siliprandi, 23-Oct-2021)
Ref | Expression | ||
---|---|---|---|
Hypothesis | funfnd.1 | |- ( ph -> Fun A ) |
|
Assertion | funfnd | |- ( ph -> A Fn dom A ) |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | funfnd.1 | |- ( ph -> Fun A ) |
|
2 | funfn | |- ( Fun A <-> A Fn dom A ) |
|
3 | 1 2 | sylib | |- ( ph -> A Fn dom A ) |