Theorem Coproducts_from_Colims : Coproducts I C. Proof. intros f. exact (make_Coproduct _ _ _ _ _ (isCoproduct_from_colims f)). Defined.
Require Import UniMath.Foundations.All. Require Import UniMath.MoreFoundations.All. Require Import UniMath.CategoryTheory.Core.Prelude. Require Import UniMath.CategoryTheory.Limits.Graphs.Colimits. Require Import UniMath.CategoryTheory.Limits.Coproducts. Section CoproductsFromColims. Section CoproductsFromColim. End CoproductsFromColim. End CoproductsFromColims.