proposition: Lemma is_omega_cocont_Sum_of_Signatures (S : I -> Signature C D D') (h : ∏ i, is_omega_cocont (S i)) : is_omega_cocont (Sum_of_Signatures S).
proof: Proof. apply is_omega_cocont_coproduct_of_functors; try assumption. Defined.
imports: UniMath.Foundations.PartD UniMath.CategoryTheory.Core.Categories UniMath.CategoryTheory.Core.Functors UniMath.CategoryTheory.Core.NaturalTransformations UniMath.CategoryTheory.FunctorCategory UniMath.CategoryTheory.whiskering UniMath.CategoryTheory.PrecategoryBinProduct UniMath.CategoryTheory.PointedFunctors UniMath.CategoryTheory.PointedFunctorsComposition UniMath.SubstitutionSystems.Signatures UniMath.CategoryTheory.Limits.Coproducts UniMath.SubstitutionSystems.Notation UniMath.CategoryTheory.Chains.Chains UniMath.CategoryTheory.Chains.OmegaCocontFunctors UniMath.CategoryTheory.Limits.Products