The Stacks project

Situation 93.9.9. Let $\Lambda \to k$ be as in Section 93.3. Let $X$ be a scheme over $k$ which has an affine open covering $X = U_1 \cup U_2$ with $U_{12} = U_1 \cap U_2$ affine too. Write $U_1 = \mathop{\mathrm{Spec}}(P_1)$, $U_2 = \mathop{\mathrm{Spec}}(P_2)$ and $U_{12} = \mathop{\mathrm{Spec}}(P_{12})$. Let $\mathcal{D}\! \mathit{ef}_ X$, $\mathcal{D}\! \mathit{ef}_{U_1}$, $\mathcal{D}\! \mathit{ef}_{U_2}$, and $\mathcal{D}\! \mathit{ef}_{U_{12}}$ be as in Example 93.9.1 and let $\mathcal{D}\! \mathit{ef}_{P_1}$, $\mathcal{D}\! \mathit{ef}_{P_2}$, and $\mathcal{D}\! \mathit{ef}_{P_{12}}$ be as in Example 93.8.1.