Definition Terminal_functor_precat : Terminal [C,D]. Proof. use make_Terminal. - exact (constant_functor _ _ TD). - intros F. use tpair. + use make_nat_trans. * intro a; apply TerminalArrow. * abstract (intros a b f; apply TerminalArrowEq). + abstract (intros α; apply (nat_trans_eq D); intro a; apply TerminalArrowUnique). Defined.
Require Import UniMath.Foundations.All. Require Import UniMath.MoreFoundations.All. Require Import UniMath.CategoryTheory.Core.Categories. Require Import UniMath.CategoryTheory.Core.Isos. Require Import UniMath.CategoryTheory.Core.NaturalTransformations. Require Import UniMath.CategoryTheory.Core.Univalence. Require Import UniMath.CategoryTheory.Core.Functors. Require Import UniMath.CategoryTheory.FunctorCategory. Require Import UniMath.CategoryTheory.Limits.Products. Require Import UniMath.CategoryTheory.Monics.