Lemma 64.38.2. Let $S$ be a scheme. Let $f : X \to Y$ be a morphism of algebraic spaces over $S$. Then $f$ is G-unramified if and only if $f$ is unramified and locally of finite presentation.

**Proof.**
Consider any diagram as in Lemma 64.22.1. Then all we are saying is that the morphism $h$ is G-unramified if and only if it is unramified and locally of finite presentation. This is clear from Morphisms, Definition 29.33.1.
$\square$

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