fact: Definition z_iso_disp_to_is_cartesian {C : category} {D : disp_cat C} {x y z : C} {f : x --> z} {g : y --> z} {h : y --> x} (Hh : is_z_isomorphism h) {p : h · f = g} {xx : D x} {yy : D y} {zz : D z} {ff : xx -->[ f ] zz} {gg : yy -->[ g ] zz} {hh : yy -->[ h ] xx} (Hff : is_cartesian ff) (Hhh : is_z_iso_disp (make_z_iso' h Hh) hh) (pp : (hh ;; ff = transportb _ p gg)%mor_disp) : is_cartesian gg.
imports: UniMath.Foundations.Sets UniMath.MoreFoundations.All UniMath.CategoryTheory.Core.Categories UniMath.CategoryTheory.Core.Isos UniMath.CategoryTheory.Core.NaturalTransformations UniMath.CategoryTheory.Core.Univalence UniMath.CategoryTheory.Core.Functors UniMath.CategoryTheory.Categories.HSET.Core UniMath.CategoryTheory.Categories.HSET.MonoEpiIso UniMath.CategoryTheory.Categories.HSET.Univalence UniMath.CategoryTheory.Limits.Pullbacks UniMath.CategoryTheory.Adjunctions.Core UniMath.CategoryTheory.Equivalences.Core UniMath.CategoryTheory.FunctorCategory UniMath.CategoryTheory.opp_precat UniMath.CategoryTheory.Presheaf UniMath.CategoryTheory.DisplayedCats.Core UniMath.CategoryTheory.DisplayedCats.Functors UniMath.CategoryTheory.DisplayedCats.NaturalTransformations UniMath.CategoryTheory.DisplayedCats.Fiber UniMath.CategoryTheory.DisplayedCats.Isos UniMath.CategoryTheory.DisplayedCats.Univalence UniMath.CategoryTheory.DisplayedCats.Examples.Opposite