proposition: Lemma pr1_category_is_functor {C : category} (D : disp_cat C) : is_functor (pr1_category_data D).
proof: Proof. apply tpair. - intros x; apply idpath. - intros x y z f g; apply idpath. 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