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Overview
Propose
Stacks 09MQ (2)
theorem
Let $X$, $Y$ be schemes, and possibly some arrows, satisfying the following conditions:
$f$ universally closed, surjective
$X$ quasi-separated
Then
$Y$ quasi-separated
References
Stacks Project, https://stacks.math.columbia.edu/tag/09MQ (Fabio)
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