Definition make_creates_limit {C : category} {D : disp_cat C} {J : graph} {F : diagram J (total_category D)} {L : LimCone (mapdiagram (pr1_category D) F)} (d : D (lim L)) (δ : ∏ j : vertex J, d -->[limOut L j] (pr2 (dob F j))) (Hcone : forms_cone (c := (lim L ,, d)) F (λ j, (limOut L j ,, δ j))) (Hlim : isLimCone _ _ (make_cone _ Hcone)) : creates_limit F L := ((d ,, δ ,, Hcone) ,, Hlim).
Require Import UniMath.Foundations.All. Require Import UniMath.MoreFoundations.All. Require Import UniMath.CategoryTheory.Core.Categories. Require Import UniMath.CategoryTheory.Core.Isos. Require Import UniMath.CategoryTheory.Core.Functors. Require Import UniMath.CategoryTheory.Limits.Graphs.Colimits. Require Import UniMath.CategoryTheory.Limits.Graphs.Limits. Require Import UniMath.CategoryTheory.DisplayedCats.Core. Require Import UniMath.CategoryTheory.DisplayedCats.Fiber. Require Import UniMath.CategoryTheory.DisplayedCats.Fibrations. Require Import UniMath.CategoryTheory.DisplayedCats.Total. Require Import UniMath.CategoryTheory.DisplayedCats.Constructions.