proposition: Lemma has_homsets_coslice_precat : has_homsets (coslice_precat).
proof: Proof. intros a b. induction a as [a f]; induction b as [b g]; simpl. apply (isofhleveltotal2 2); [ apply C | intro h]. apply isasetaprop; apply C. Qed.
imports: UniMath.Foundations.PartA UniMath.Foundations.PartD UniMath.MoreFoundations.Tactics UniMath.CategoryTheory.Core.Categories UniMath.CategoryTheory.Core.Functors UniMath.CategoryTheory.DisplayedCats.Core UniMath.CategoryTheory.DisplayedCats.Total