proposition: Lemma has_homsets_full_img_sub_precategory {C : category} {D : category} (F : functor C D) : has_homsets (full_img_sub_precategory F).
proof: Proof. apply has_homsets_full_sub_precategory. Qed.
imports: UniMath.Foundations.Sets UniMath.MoreFoundations.PartA UniMath.CategoryTheory.Core.Categories UniMath.CategoryTheory.Core.Isos UniMath.CategoryTheory.Core.Univalence UniMath.CategoryTheory.Core.Functors UniMath.CategoryTheory.Core.NaturalTransformations UniMath.CategoryTheory.Subcategory.Core