Item 1 (07KR)—The Stacks project

If $\varphi _*$ and $\psi _*$ are homotopic, then

$\varphi _* \otimes 1, \psi _* \otimes 1 : K_* \otimes _{A_*} L_* \longrightarrow M_* \otimes _{A_*} L_*$

are homotopic for any cosimplicial $A_*$ -module $L_*$ .

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