coherent topos

In mathematics, a coherent topos is a topos generated by a collection of quasi-compact quasi-separated objects closed under finite products.Jacob Lurie, [https://www.math.ias.edu/~lurie/278x.html Categorical Logic (278x)]. Lecture 11. Definition 6.

Deligne's completeness theorem says a coherent topos has enough points. B. Frot, Gödel’s Completeness Theorem and Deligne’s Theorem , arXiv:1309.0389 (2013). William Lawvere noticed that Deligne's theorem is a variant of the Gödel completeness theorem for first-order logic. https://ncatlab.org/nlab/show/Deligne+completeness+theorem