10. Let ti denote the time of failure of the ith component; let (t) denote the time...

10. Let ti denote the time of failure of the ith component; let τφ(t) denote the time to failure of the system φ as a function of the vector t = (t1,...,tn). Show that max 1js min i∈Aj ti = τφ(t) = min 1jk max i∈Cj ti where C1,...,Ck are the minimal cut sets, and A1,...,As the minimal path sets.