fact: Definition disp_functor_eq_step_4 : (∑ (p : ∏ (x : C₁) (xx : D₁ x), FF x xx = GG x xx), ∏ (x y : C₁) (xx : D₁ x) (yy : D₁ y) (f : x --> y) (ff : xx -->[ f ] yy), ♯FF ff ;; idtoiso_disp (idpath _) (p y yy) = transportb _ (id_right _ @ !(id_left _)) (idtoiso_disp (idpath _) (p x xx) ;; ♯GG ff)) ≃ (∑ (p : ∏ (x : C₁) (xx : D₁ x), z_iso_disp (identity_z_iso _) (FF x xx) (GG x xx)), ∏ (x y : C₁) (xx : D₁ x) (yy : D₁ y) (f : x --> y) (ff : xx -->[ f ] yy), ♯FF ff ;; p y yy = transportb _ (id_right _ @ !(id_left _)) (p x xx ;; ♯GG ff)).
imports: UniMath.Foundations.All UniMath.MoreFoundations.All UniMath.CategoryTheory.Core.Prelude UniMath.CategoryTheory.DisplayedCats.Core UniMath.CategoryTheory.DisplayedCats.Functors UniMath.CategoryTheory.DisplayedCats.NaturalTransformations UniMath.CategoryTheory.DisplayedCats.Isos UniMath.CategoryTheory.DisplayedCats.Univalence