proposition: Lemma is_univalent_fiber_cat (a b : fiber_category) : isweq (λ p : a = b, idtoiso p).
proof: Proof. use (twooutof3a _ (z_iso_disp_z_iso_fiber a b)). - use (isweqhomot (idto1 a b)). + intro p. apply eq_idto1_idto2. + apply weqproperty. - apply weqproperty. Defined.
imports: UniMath.Foundations.All UniMath.MoreFoundations.All UniMath.CategoryTheory.Core.Categories UniMath.CategoryTheory.Core.Functors UniMath.CategoryTheory.Core.NaturalTransformations UniMath.CategoryTheory.Core.Isos UniMath.CategoryTheory.Core.Univalence UniMath.CategoryTheory.DisplayedCats.Core UniMath.CategoryTheory.DisplayedCats.Functors UniMath.CategoryTheory.DisplayedCats.NaturalTransformations UniMath.CategoryTheory.DisplayedCats.Isos UniMath.CategoryTheory.DisplayedCats.Univalence UniMath.CategoryTheory.DisplayedCats.Total