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**A ZERO Divergence Vector Field**

There is theorem that is widely used in physics--e.g., electricity and magnetism for which I have no proof, yet we use this theorem at the drop of a hat. The theorem is this:

Given sufficient continuity and differentiability, every vector function A such that div(V) = 0 yields a vector function U such V = curl(U).

Is there a simple proof of this?

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