proposition: Lemma is_omega_cocont_MultiSortedSigToSignature (M : MultiSortedSig) (H : Colims_of_shape nat_graph HSET_over_sort) : is_omega_cocont (MultiSortedSigToSignature M).
proof: Proof. apply is_omega_cocont_MultiSortedSigToFunctor, H. Defined.
imports: UniMath.Foundations.PartD UniMath.Foundations.Sets UniMath.MoreFoundations.Tactics UniMath.Combinatorics.Lists UniMath.CategoryTheory.Core.Categories UniMath.CategoryTheory.Core.Isos UniMath.CategoryTheory.Core.NaturalTransformations UniMath.CategoryTheory.Core.Functors UniMath.CategoryTheory.FunctorCategory UniMath.CategoryTheory.whiskering UniMath.CategoryTheory.Limits.Graphs.Limits UniMath.CategoryTheory.Limits.Graphs.Colimits UniMath.CategoryTheory.Limits.BinProducts UniMath.CategoryTheory.Limits.Products UniMath.CategoryTheory.Limits.BinCoproducts UniMath.CategoryTheory.Limits.Coproducts UniMath.CategoryTheory.Limits.Terminal UniMath.CategoryTheory.Limits.Initial UniMath.CategoryTheory.Limits.Pullbacks UniMath.CategoryTheory.FunctorAlgebras UniMath.CategoryTheory.exponentials UniMath.CategoryTheory.Adjunctions.Core UniMath.CategoryTheory.Chains.All UniMath.CategoryTheory.Monads.Monads UniMath.CategoryTheory.Categories.HSET.Core UniMath.CategoryTheory.Categories.HSET.Colimits UniMath.CategoryTheory.Categories.HSET.Limits UniMath.CategoryTheory.Categories.HSET.Slice UniMath.CategoryTheory.Categories.HSET.Structures UniMath.CategoryTheory.HorizontalComposition UniMath.CategoryTheory.slicecat UniMath.SubstitutionSystems.Signatures UniMath.SubstitutionSystems.SumOfSignatures UniMath.SubstitutionSystems.BinProductOfSignatures UniMath.SubstitutionSystems.Notation UniMath.SubstitutionSystems.SignatureExamples UniMath.SubstitutionSystems.MonadsMultiSorted