Description: A function measurable w.r.t. to a sigma-algebra, is actually a function. (Contributed by Glauco Siliprandi, 26-Jun-2021)
Ref | Expression | ||
---|---|---|---|
Hypotheses | smff.s | |
|
smff.f | |
||
smff.d | |
||
Assertion | smff | |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | smff.s | |
|
2 | smff.f | |
|
3 | smff.d | |
|
4 | 1 3 | issmf | |
5 | 2 4 | mpbid | |
6 | 5 | simp2d | |