Proposition is_homotopical_functor_is_prop {C C' : homotopical_category} (F : functor C C') : isaprop (is_homotopical_functor F). Proof. repeat (apply impred ; intro). apply (pr21 C'). Defined.
Require Import UniMath.Foundations.All. Require Import UniMath.MoreFoundations.All. Require Import UniMath.CategoryTheory.Monics. Require Import UniMath.CategoryTheory.Epis. Require Import UniMath.CategoryTheory.Core.Categories. Require Import UniMath.CategoryTheory.Core.Functors. Require Import UniMath.CategoryTheory.Core.Isos.