proposition: Lemma step1_disp_axioms : disp_cat_axioms base_category disp_morph.
proof: Proof. repeat split; intros; repeat (apply impred; intro); repeat (apply funextsec; intro); try apply homset_property. cbn. repeat (apply (impred 2); intro). apply hlevelntosn. apply homset_property. Qed.
imports: UniMath.Foundations.PartD UniMath.Foundations.UnivalenceAxiom UniMath.MoreFoundations.Propositions UniMath.CategoryTheory.Core.Categories UniMath.CategoryTheory.Core.Isos UniMath.CategoryTheory.Core.Univalence UniMath.CategoryTheory.Categories.HSET.Core UniMath.CategoryTheory.Core.Functors UniMath.CategoryTheory.FunctorCategory UniMath.CategoryTheory.Monads.Monads UniMath.CategoryTheory.DisplayedCats.Core UniMath.CategoryTheory.DisplayedCats.Total UniMath.CategoryTheory.DisplayedCats.Isos UniMath.CategoryTheory.DisplayedCats.Univalence UniMath.CategoryTheory.DisplayedCats.Constructions