proposition: Lemma isaprop_section_disp_axioms {C : category} {D : disp_cat C} (F : section_disp_data D) (Hmor : ∏ (x y : C) (f : x --> y) (c : D x) (d : D y), isaset (c -->[f] d)) : isaprop (section_disp_axioms F).
proof: Proof. apply isapropdirprod. - apply impred; intro. apply Hmor. - do 5 (apply impred; intro). apply Hmor. Qed.
imports: UniMath.Foundations.Sets UniMath.MoreFoundations.All UniMath.CategoryTheory.Core.Categories UniMath.CategoryTheory.Core.Isos UniMath.CategoryTheory.Core.NaturalTransformations UniMath.CategoryTheory.Core.Functors UniMath.CategoryTheory.Core.Univalence UniMath.CategoryTheory.FunctorCategory UniMath.CategoryTheory.DisplayedCats.Core UniMath.CategoryTheory.DisplayedCats.Functors UniMath.CategoryTheory.DisplayedCats.NaturalTransformations UniMath.CategoryTheory.DisplayedCats.Total UniMath.CategoryTheory.DisplayedCats.Isos UniMath.CategoryTheory.DisplayedCats.Univalence UniMath.CategoryTheory.DisplayedCats.Examples.Reindexing