Lemma 71.2.3. Let S be a scheme. Let X be an algebraic space over S. Let \mathcal{F} be a quasi-coherent \mathcal{O}_ X-module. Then \text{WeakAss}(\mathcal{F}) \subset \text{Supp}(\mathcal{F}).
Proof. This is immediate from the definitions. The support of an abelian sheaf on X is defined in Properties of Spaces, Definition 66.20.3. \square
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