proposition: Lemma Coproducts_Signature_category : Coproducts I (Signature_category C D D').
proof: Proof. intros Ht. use make_Coproduct. - apply (Sum_of_Signatures I _ _ _ CD Ht). - apply Signature_category_in. - apply isCoproduct_Signature_category. Defined.
imports: UniMath.Foundations.PartD UniMath.MoreFoundations.Tactics UniMath.CategoryTheory.Core.Categories UniMath.CategoryTheory.Core.Functors UniMath.CategoryTheory.Core.NaturalTransformations UniMath.CategoryTheory.whiskering UniMath.CategoryTheory.Limits.BinProducts UniMath.CategoryTheory.Limits.Coproducts UniMath.CategoryTheory.PrecategoryBinProduct UniMath.CategoryTheory.PointedFunctors UniMath.CategoryTheory.PointedFunctorsComposition UniMath.CategoryTheory.HorizontalComposition UniMath.CategoryTheory.FunctorCategory UniMath.SubstitutionSystems.Notation UniMath.SubstitutionSystems.Signatures UniMath.CategoryTheory.DisplayedCats.Core UniMath.CategoryTheory.DisplayedCats.Total UniMath.CategoryTheory.DisplayedCats.SIP UniMath.CategoryTheory.DisplayedCats.Univalence UniMath.CategoryTheory.Core.Univalence UniMath.SubstitutionSystems.BinProductOfSignatures UniMath.SubstitutionSystems.SumOfSignatures