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In this note we prove the following useful fact that seems to be missing fromthe literature: the $\infty$-category of coherent ordinary topoi (in the senseof SGA4) is equivalent to the $\infty$-category of coherent $1$-localic$\infty$-topoi (in Lurie's sense). We also collect a number of examples ofcoherent geometric morphisms between $\infty$-topoi coming from algebraicgeometry.

On coherent topoi & coherent $1$-localic $\infty$-topoi