Question: Consider a digraph G=(V,E) with at least two nodes. Use induction on V to prove that the following statements are equivalent: (i) G has a

Consider a digraph G=(V,E) with at least two nodes. Use induction

Consider a digraph G=(V,E) with at least two nodes. Use induction on V to prove that the following statements are equivalent: (i) G has a globally reachable node, and (ii) for every pair S1,S2 of non-empty disjoint subsets of V, there exists a node that is an out-neighbor of S1 or S2 NOTE: Please do not give the same answer that was provided on Chegg previously. That answer does not use induction and is therefore not helpful here

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