Definition terminal_sheaf_is_terminal : isTerminal (sheaf_cat C) terminal_sheaf_sheaf. Proof. intros Y. use unique_exists. - apply TerminalArrow. - exact tt. - abstract ( intro f; apply isapropunit ). - abstract ( intros f t; apply TerminalArrowUnique ). Defined.
Require Import UniMath.Foundations.All. Require Import UniMath.MoreFoundations.All. Require Import UniMath.CategoryTheory.Core.Categories. Require Import UniMath.CategoryTheory.Core.NaturalTransformations. Require Import UniMath.CategoryTheory.Equivalences.Core. Require Import UniMath.CategoryTheory.Limits.Terminal. Require Import UniMath.CategoryTheory.Presheaf. Require Import UniMath.CategoryTheory.GrothendieckToposes.Sites. Require Import UniMath.CategoryTheory.GrothendieckToposes.Sheaves.