proposition: Lemma mor_eq_total_category_when_locally_prop {C : category} {D : disp_cat C} (loc : locally_propositional D) {xx yy : total_precategory D} {ff gg : xx --> yy} : pr1 ff = pr1 gg -> ff = gg.
proof: Proof. intro Hyp. use subtypePath. - red; intro; apply loc. - exact Hyp. Qed.
imports: UniMath.Foundations.Sets UniMath.MoreFoundations.AxiomOfChoice UniMath.CategoryTheory.Core.Categories UniMath.CategoryTheory.Core.Functors UniMath.CategoryTheory.Core.NaturalTransformations UniMath.CategoryTheory.Core.Isos UniMath.CategoryTheory.Core.Univalence UniMath.CategoryTheory.DisplayedCats.Core UniMath.CategoryTheory.DisplayedCats.Functors UniMath.CategoryTheory.DisplayedCats.NaturalTransformations UniMath.CategoryTheory.DisplayedCats.Isos UniMath.CategoryTheory.DisplayedCats.Univalence