Lemma 2.2 — $F'(x;\cdot)$ is Lipschitz and $F'(x;h)=Vh$ for some $V\in\partial F(x)$ · Prove2Me

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Lemma 2.2 — $F'(x;\cdot)$ is Lipschitz and $F'(x;h)=Vh$ for some $V\in\partial F(x)$ · Prove2Me