Lemma 10.91.4. Let $R$ be a Noetherian ring and $n$ a positive integer. Then the $R$-module $M = R[[t_1, \ldots , t_ n]]$ is flat and Mittag-Leffler.

**Proof.**
As an $R$-module, we have $M = R^ A$ for a (countable) set $A$. Hence this lemma is a special case of Lemma 10.91.3.
$\square$

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