hello,

remember the definition (or property) of the continuity :

F is continuous

(i inverted delta and epsilon from the usual definition so that it wouldn't confuse with the epsilon you're using in the text)

this means that the set :

one of the consequences of the kolmogorov axiomatic is that if

, then

then use the second axiom of kolmogorov (

) to prove that

it should be easy from here (rofl)

yes.

I haven't been thinking very long on it, but my first idea would be, as above, to use the epsilon definition of

(nod)