Synthetic topos theory
[0048] Exercise

Let \(T\) be a base type theory. We work in \(T\). Let \(X\) be a topos and let \(a\) be a coétale point of \(X\). Then we have a canonical equivalence

\((x:X)\rightarrow \mathord {\textnormal {\textsf {e}}}_{a}(x)\simeq (a\Rightarrow x)\).