Lemma 15.82.7. Let $R \to A$ be a pseudo-coherent ring map. Let $K \in D(A)$. The following are equivalent

1. $K$ is $m$-pseudo-coherent (resp. pseudo-coherent) relative to $R$, and

2. $K$ is $m$-pseudo-coherent (resp. pseudo-coherent) in $D(A)$.

Proof. Reformulation of a special case of Lemma 15.81.15. $\square$

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