The Stacks project

Situation 79.15.4 (Quasi-splitting). Let $S$ be a scheme. Let $(U, R, s, t, c)$ be a groupoid scheme over $S$. Let $u \in U$ be a point. Assume that

  1. $s, t : R \to U$ are separated,

  2. $s$, $t$ are locally of finite type, and

  3. $s$ is quasi-finite at $e(u)$.

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