Definition slice_dom_data {C : category} (x : C) : functor_data (C/x) C. Proof. use make_functor_data. - exact (λ zf, cod_dom zf). - exact (λ _ _ hp, dom_mor hp). Defined.
Require Import UniMath.Foundations.All. Require Import UniMath.MoreFoundations.All. Require Import UniMath.CategoryTheory.Core.Prelude. Require Import UniMath.CategoryTheory.Adjunctions.Core. Require Import UniMath.CategoryTheory.DisplayedCats.Core. Require Import UniMath.CategoryTheory.DisplayedCats.Codomain. Require Import UniMath.CategoryTheory.DisplayedCats.Codomain.FiberCod. Require Import UniMath.CategoryTheory.Limits.BinProducts.