\( \definecolor{colordef}{RGB}{249,49,84} \definecolor{colorprop}{RGB}{18,102,241} \)
Let \(E\) be a \(\mathbb{K}\)-vector space and \(F, G\) two subspaces of \(E\). Show that \(F \cup G = F + G\) if and only if \(F \subset G\) or \(G \subset F\).
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