Definition functor_Under_precategories_mor {c c' : C} (h : C⟦c, c'⟧) : functor _ _ := tpair _ _ (is_functor_Under_mor_functor_data h).
Require Import UniMath.Foundations.PartD. Require Import UniMath.Foundations.Propositions. Require Import UniMath.Foundations.Sets. Require Import UniMath.CategoryTheory.Core.Categories. Require Import UniMath.CategoryTheory.Core.Functors.