proposition: Lemma DH0_DH1_nat_trans_data {DH0 DH1:disp_functor H D' D''} (β: disp_nat_trans (nat_z_iso_id (F ∙ H)) (DF ◦ DH0) (DF ◦ DH1)) :disp_nat_trans_data (nat_z_iso_id H) DH0 DH1.
proof: Proof. intros c' d'. apply (DF_inv_mor DH0 DH1 c' d'). exact (β ↙d' ←d'). Defined.
imports: UniMath.Foundations.All UniMath.MoreFoundations.All UniMath.CategoryTheory.Core.Categories UniMath.CategoryTheory.Core.Functors UniMath.CategoryTheory.Core.NaturalTransformations UniMath.CategoryTheory.Core.Univalence UniMath.CategoryTheory.Core.Isos UniMath.CategoryTheory.DisplayedCats.Core UniMath.CategoryTheory.DisplayedCats.Functors UniMath.CategoryTheory.DisplayedCats.NaturalTransformations UniMath.CategoryTheory.DisplayedCats.Isos UniMath.CategoryTheory.DisplayedCats.Univalence UniMath.CategoryTheory.DisplayedCats.Fibrations UniMath.CategoryTheory.DisplayedCats.StreetFibration