The Stacks project

Lemma 86.8.3. Let $A$ be a Noetherian ring and let $I$ be an ideal. Let $B$ be an object of (86.2.0.2). If $B$ is rig-├ętale over $(A, I)$, then $B$ is rig-smooth over $(A, I)$.

Proof. Immediate from Definitions 86.4.1 and 86.8.1. $\square$


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