fact: Definition into_cone_to_cone {X Y : UU} {g : graph} {d : diagram g _} (coneY : cone d (Y : ob type_precat)) (f : X → Y) : cone d X.
imports: UniMath.Foundations.PartD UniMath.Foundations.Sets UniMath.MoreFoundations.Univalence UniMath.CategoryTheory.Core.Categories UniMath.CategoryTheory.Core.Functors UniMath.CategoryTheory.Categories.Type.Core UniMath.CategoryTheory.Limits.Graphs.Limits UniMath.CategoryTheory.Limits.Graphs.Colimits UniMath.CategoryTheory.Chains.Cochains