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