Description: The domain of a function is a set iff the function is a set. (Contributed by AV, 8-Aug-2024)
Ref | Expression | ||
---|---|---|---|
Assertion | fndmexb |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | fnex | ||
2 | 1 | ex | |
3 | simpr | ||
4 | simpl | ||
5 | 3 4 | fndmexd | |
6 | 5 | ex | |
7 | 2 6 | impbid |