Lemma 81.10.7 (0AEY)—The Stacks project

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Table of contents
Part 4: Algebraic Spaces
Chapter 81: Pushouts of Algebraic Spaces
Section 81.10: Formal glueing of quasi-coherent modules
Lemma 81.10.7 (cite)

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Lemma 81.10.7. In Situation 81.10.6. The functor (81.10.6.2) is right adjoint to the functor (81.10.6.1).

Proof. This follows easily from the adjointness of $f^*$ to $f_*$ and $j^*$ to $j_*$ . Details omitted. $\square$

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