Remark 52.22.6. We are unable to prove or disprove the analogue of Proposition 52.22.4 where the assumption that $I$ has $d$ generators is replaced with the assumption $\text{cd}(A, I) \leq d$. If you know a proof or have a counter example, please email stacks.project@gmail.com. Another obvious question is to what extend the conditions in Proposition 52.22.4 are necessary.

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