Question: Let G1, G2 open balls with non empty intersection. let g1, g2 two branches of complex log in G1,G2 and suppose there exists z0 in

Let G1, G2 open balls with non empty intersection.

let g1, g2 two branches of complex log in G1,G2 and suppose there exists z0 in interesction(G1,G2) such that g1(z0)=g2(z0)

proof that g1(z)=g2(z) for every z in intersection(G1,G2)

please explain and correct answer provided otherwise downvote and report

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