proposition: Proposition is_cartesian_equiv_over_id : is_cartesian_disp_functor L.
proof: Proof. intros x y f xx yy ff Hff w g ww hh. use iscontraprop1. - exact (is_cartesian_equiv_over_id_unique Hff ww hh). - simple refine (_ ,, _). + exact (is_cartesian_equiv_over_id_fact Hff ww hh). + exact (is_cartesian_equiv_over_id_comm Hff ww hh). Defined.
imports: UniMath.Foundations.All UniMath.MoreFoundations.All UniMath.CategoryTheory.Core.Prelude UniMath.CategoryTheory.Adjunctions.Core UniMath.CategoryTheory.Equivalences.Core UniMath.CategoryTheory.DisplayedCats.Core UniMath.CategoryTheory.DisplayedCats.Functors UniMath.CategoryTheory.DisplayedCats.NaturalTransformations UniMath.CategoryTheory.DisplayedCats.Isos UniMath.CategoryTheory.DisplayedCats.Univalence UniMath.CategoryTheory.DisplayedCats.Equivalences UniMath.CategoryTheory.DisplayedCats.Fibrations UniMath.CategoryTheory.DisplayedCats.DisplayedFunctorEq