Hi, I'm not sure how to do this, any help is appreciated, thanks!

Arcs in Cuts. Take a directed graph G = (V, A) with arc capacity Ua for each arc a E A. Let 8+(S*) be a minimum capacity s t cut in a graph G = (V, A). Prove that if (i, j) E 8+(S*) then there is no minimum capacity s - t cut 8+(S) such that je and i E V\. Arcs in Cuts. Take a directed graph G = (V, A) with arc capacity Ua for each arc a E A. Let 8+(S*) be a minimum capacity s t cut in a graph G = (V, A). Prove that if (i, j) E 8+(S*) then there is no minimum capacity s - t cut 8+(S) such that je and i E V\