Description: The domain of a function measurable w.r.t. to a sigma-algebra, is a subset of the set underlying the sigma-algebra. (Contributed by Glauco Siliprandi, 26-Jun-2021)
Ref | Expression | ||
---|---|---|---|
Hypotheses | smfdmss.s | |
|
smfdmss.f | |
||
smfdmss.d | |
||
Assertion | smfdmss | |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | smfdmss.s | |
|
2 | smfdmss.f | |
|
3 | smfdmss.d | |
|
4 | 1 3 | issmf | |
5 | 2 4 | mpbid | |
6 | 5 | simp1d | |