Description: The set of all real numbers is measurable. (Contributed by Mario Carneiro, 18-Mar-2014)
Ref | Expression | ||
---|---|---|---|
Assertion | rembl | |- RR e. dom vol |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | dif0 | |- ( RR \ (/) ) = RR |
|
2 | 0mbl | |- (/) e. dom vol |
|
3 | cmmbl | |- ( (/) e. dom vol -> ( RR \ (/) ) e. dom vol ) |
|
4 | 2 3 | ax-mp | |- ( RR \ (/) ) e. dom vol |
5 | 1 4 | eqeltrri | |- RR e. dom vol |