fact: Definition disp_cat_eq_step_4 : (∑ (p : pr11 D₁ ╝ pr11 D₂), transportf (disp_cat_id_comp C) (total2_paths_f (pr1 p) (pr2 p)) (pr21 D₁) = pr21 D₂) ≃ ∑ (pob : ∏ (x : C), D₁ x = D₂ x), ∑ (pmor : ∏ (x y : C) (xx : D₁ x) (yy : D₁ y) (f : x --> y), xx -->[ f ] yy = eqweqmap (pob x) xx -->[ f ] eqweqmap (pob y) yy), disp_cat_id_comp_eq pob pmor.
imports: UniMath.Foundations.All UniMath.MoreFoundations.All UniMath.CategoryTheory.Core.Prelude 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.Univalence UniMath.CategoryTheory.DisplayedCats.Equivalences UniMath.CategoryTheory.DisplayedCats.DisplayedFunctorEq UniMath.CategoryTheory.DisplayedCats.EquivalenceOverId