Lemma 86.8.6. Let $A_1 \to A_2$ be a map of Noetherian rings. Let $I_ i \subset A_ i$ be an ideal such that $V(I_1A_2) = V(I_2)$. Let $B_1$ be in (18.104.22.168) for $(A_1, I_1)$. Let $B_2$ be the base change of $B_1$ as in Remark 86.2.3. If $B_1$ is rig-étale over $(A_1, I_1)$, then $B_2$ is rig-étale over $(A_2, I_2)$.
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