fact: Definition creates_limit_disp_struct {C : category} {P H Hprop Hid Hcomp} (D := disp_struct C P H Hprop Hid Hcomp) {J : graph} {F : diagram J (total_category D)} (L : LimCone (mapdiagram (pr1_category D) F)) (d : D (lim L)) (cone : ∏ j : vertex J, d -->[limOut L j] (pr2 (dob F j))) (is_limit : ∏ (d' : total_category D) (cone_out : ∏ u, d' --> (dob F u)) (is_cone : ∏ u v e, cone_out u · (dmor F e) = cone_out v) (L_lim_arrow := limArrow L _ (make_cone (d := (mapdiagram (pr1_category D) F)) _ (λ u v e, maponpaths pr1 (is_cone u v e)))), pr2 d' -->[L_lim_arrow] d) : creates_limit F L.
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