probability theory - In the Proof of Kolmogorov's Strong Law of

I understand everything in this proof concerning the strong law of large numbers, except for the line highlighted in red. I do not understand why $$\frac{X_1 + +X_n}{n}$$ is measurable with res

Kolmogorov's Maximal Inequality & its Proof

Goals And Methods In Statistics & Machine Learning

Law of large numbers - Wikipedia

The Work of S. N. Bernshtein on the Theory of Probability

Kolmogorov's Zero-One Law

PDF) A note on the weak law of large numbers for free random variables

law of large numbers

Law of large numbers - Wikipedia

real analysis - Questions on Kolmogorov Zero-One Law Proof in