fact: Definition is_homotopical_functor {C C' : homotopical_category} (F : functor C C') : UU := ∏ (x y : C) (f : category_with_weq_pr2 C x y), category_with_weq_pr2 C' _ _ (# F (pr1 f)).
imports: UniMath.Foundations.All UniMath.MoreFoundations.All UniMath.CategoryTheory.Monics UniMath.CategoryTheory.Epis UniMath.CategoryTheory.Core.Categories UniMath.CategoryTheory.Core.Functors UniMath.CategoryTheory.Core.Isos