Does anybody have the solution of that problem, please? I don't understand the relation between random variables $X$ and $T$.
Regards
Edit :
Thank you for the comments.
Let me first apologize for asking such an imprecise question.
My level in probability theory is not good.
The problem is about stopping time. We have $X$ which is a stochastic process, and $T$ which is a random time. $T$ is $\mathcal{F}_t^{X}$-measurable. How can we show that if $X(\omega) = X(\omega')$ we necessarily have $T(\omega) = T(\omega')$? I am trying to understand the problem, but I just don't understand the relation between $X$ and $T$. That's why I do not have any clear solution idea to propose.
Regards