fact: Definition eq_cartesian_lift_from_adjequiv_transport {B : bicat} (HB : is_univalent_2 B) {D : disp_bicat B} (HD : disp_univalent_2 D) {x y : B} (f : x --> y) (yy : D y) {xx₁ xx₂ : D x} (p : xx₁ = xx₂) (ff : xx₂ -->[ f] yy) : transportb (λ z, z -->[ f ] yy) p ff = transportf (λ z, _ -->[ z ] _) (isotoid_2_1 (pr2 HB) (lunitor_invertible_2cell _)) (disp_idtoiso_2_0 _ (idpath _) _ _ p ;; ff)%mor_disp.
imports: UniMath.Foundations.All UniMath.MoreFoundations.All UniMath.CategoryTheory.Core.Categories UniMath.CategoryTheory.Core.Isos UniMath.CategoryTheory.Core.Univalence UniMath.CategoryTheory.Core.Functors UniMath.CategoryTheory.Core.NaturalTransformations UniMath.CategoryTheory.opp_precat UniMath.CategoryTheory.DisplayedCats.Core UniMath.CategoryTheory.DisplayedCats.Isos UniMath.CategoryTheory.DisplayedCats.Univalence UniMath.CategoryTheory.DisplayedCats.Fibrations UniMath.CategoryTheory.DisplayedCats.Examples.Opposite UniMath.Bicategories.Core.Bicat UniMath.Bicategories.Core.Invertible_2cells UniMath.Bicategories.Core.AdjointUnique UniMath.Bicategories.DisplayedBicats.DispBicat UniMath.Bicategories.DisplayedBicats.DispUnivalence UniMath.Bicategories.PseudoFunctors.PseudoFunctor UniMath.Bicategories.DisplayedBicats.CleavingOfBicat UniMath.Bicategories.DisplayedBicats.Cartesians UniMath.Bicategories.DisplayedBicats.EquivalenceBetweenCartesians