proposition: Lemma cat_of_elems_mor_eq (x y : cat_of_elems_data) (f g : _⟦x,y⟧) : get_mor f = get_mor g → f = g.
proof: Proof. intros p. apply subtypePath. - intro r; apply setproperty. - exact p. Qed.
imports: UniMath.MoreFoundations.All UniMath.CategoryTheory.Core.Categories UniMath.CategoryTheory.Core.Isos UniMath.CategoryTheory.Core.Functors UniMath.CategoryTheory.Core.NaturalTransformations UniMath.CategoryTheory.FunctorCategory UniMath.CategoryTheory.Categories.HSET.Core UniMath.CategoryTheory.opp_precat UniMath.CategoryTheory.Presheaf