Remark 109.56.2. Here are some remarks:

1. The presheaves $F$ and $F_ n$ are separated presheaves.

2. It turns out that $F$, $F_ n$ are not sheaves.

3. One can show that $G$, $G_ n$ is actually a sheaf for the fppf topology.

We will prove these results if we need them.

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