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A mild modification to Beauville-Laslo
Thanks to Kestutis Cesnavicus who writes: ------------------ I attach a minor edit to the section https://stacks.math.columbia.edu/tag/0BNI on the Beauville--Laszlo theorem --- could you include it in the Stacks Project? The goal is to generalize the section to more general maps R ---> R', not just those that arise from the f-adic completion. This makes this material better suited for an eventual nonaffine statement. I tried to be careful, hopefully I did not introduce any errors. The same proofs worked in the more general situation with only cosmetic changes (I went through the arguments in detail).
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