Lemma 13.1.24.label Let $E\suf\R^{n}$ be convex (resp. closed) then $E-x_{0}=\curl{x-x_0:x\in E}$ is convex (resp. closed) for any $x_{0}\in\R^{n}$.
Proof. Obvious.$\square$
Lemma 13.1.24.label Let $E\suf\R^{n}$ be convex (resp. closed) then $E-x_{0}=\curl{x-x_0:x\in E}$ is convex (resp. closed) for any $x_{0}\in\R^{n}$.
Proof. Obvious.$\square$
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