The author develops the theory of Hod mice below $AD_{\mathbb{R}}+$ ''$\Theta$ is regular''. He uses this theory to show that HOD of the minimal model of $AD_{\mathbb{R}}+$ ''$\Theta$ is regular'' satisfies $GCH$. Moreover, he shows that the Mouse Set Conjecture is true in the minimal model of $AD_{\mathbb{R}}+$ ''$\Theta$ is regular''.
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