Definition project_cocone11 {g : graph} {d : diagram g (arrow C)} {f : arrow C} (cc : cocone d f) : cocone (project_diagram11 d) (arrow_cod f) := mapcocone (pr2_functor _ _) _ (mapcocone (pr1_category _) _ cc).
Require Import UniMath.MoreFoundations.All. Require Import UniMath.CategoryTheory.Core.Prelude. Require Import UniMath.CategoryTheory.PrecategoryBinProduct. Require Import UniMath.CategoryTheory.opp_precat. Require Import UniMath.CategoryTheory.DisplayedCats.Core. Require Import UniMath.CategoryTheory.DisplayedCats.SIP. Require Import UniMath.CategoryTheory.DisplayedCats.Total. Require Import UniMath.CategoryTheory.Limits.Graphs.Colimits.