Lemma 115.26.2. Let $S$ be a scheme. Let $X$ be an algebraic space over $S$. The map $\{ \mathop{\mathrm{Spec}}(k) \to X \text{ monomorphism}\} \to |X|$ is injective.

**Proof.**
This is a duplicate of Properties of Spaces, Lemma 66.4.12.
$\square$

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