Lemma 10.62.2. Let $R$, $M$, $M_ i$, $\mathfrak p_ i$ as in Lemma 10.62.1. Then $\text{Supp}(M) = \bigcup V(\mathfrak p_ i)$ and in particular $\mathfrak p_ i \in \text{Supp}(M)$.

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