fact: Definition cat_of_elems_path_natural {x₁ x₂ x₁' x₂' : C} (f₁ : x₁ --> x₁') (f₂ : x₂ --> x₂') (p : x₁ = x₂) (p' : x₁' = x₂') (y : disp_cat_of_elems x₂) (y' : disp_cat_of_elems x₂') (q : f₁ · idtoiso p' = idtoiso p · f₂) (r : y' = # F f₂ y) : cat_of_elems_path_lift p' y' = #F f₁ (cat_of_elems_path_lift p y).
imports: UniMath.Foundations.All UniMath.MoreFoundations.All UniMath.CategoryTheory.Core.Categories UniMath.CategoryTheory.Core.Isos UniMath.CategoryTheory.Core.Functors UniMath.CategoryTheory.Core.NaturalTransformations UniMath.CategoryTheory.Core.Univalence UniMath.CategoryTheory.Categories.HSET.Core UniMath.CategoryTheory.Categories.HSET.Univalence UniMath.CategoryTheory.DisplayedCats.Core UniMath.CategoryTheory.DisplayedCats.Total UniMath.CategoryTheory.DisplayedCats.Fibrations UniMath.CategoryTheory.DisplayedCats.Isos UniMath.CategoryTheory.DisplayedCats.Univalence UniMath.CategoryTheory.DisplayedCats.Examples