proposition: Lemma form_equiv_GGεη : form_equiv_over_id GGεη.
proof: Proof. split; intros x xx; cbn. - unfold η_ses_ff_data. apply (@FFinv_over_id_on_z_iso_is_z_iso _ _ _ _ (identity_z_iso _)). eapply is_z_iso_disp_independent_of_is_z_iso. exact (@is_z_iso_inv_from_z_iso_disp _ _ _ _ (identity_z_iso _) _ _ _). - unfold ε_ses_ff_data. apply is_z_iso_disp_from_z_iso. Qed.
imports: UniMath.Foundations.Sets UniMath.MoreFoundations.PartA UniMath.CategoryTheory.Core.Categories UniMath.CategoryTheory.Core.Isos UniMath.CategoryTheory.Core.Functors UniMath.CategoryTheory.Core.NaturalTransformations 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.Fiber