proposition: Lemma lambdaFunctor_Initial : Initial (FunctorAlg LamFunctor).
proof: Proof. apply (SignatureInitialAlgebraHSET (Presignature_Signature LamSignature)), is_omega_cocont_BindingSigToSignatureHSET. Defined.
imports: UniMath.Foundations.PartD UniMath.Foundations.Sets UniMath.Combinatorics.Lists UniMath.MoreFoundations.Tactics UniMath.CategoryTheory.Core.Categories UniMath.CategoryTheory.Core.Functors UniMath.CategoryTheory.FunctorCategory UniMath.CategoryTheory.Categories.HSET.Core UniMath.CategoryTheory.Categories.HSET.Limits UniMath.CategoryTheory.Categories.HSET.Colimits UniMath.CategoryTheory.Categories.HSET.Structures UniMath.CategoryTheory.Chains.All UniMath.CategoryTheory.Limits.Graphs.Limits UniMath.CategoryTheory.Limits.Graphs.Colimits UniMath.CategoryTheory.Limits.Initial UniMath.CategoryTheory.Limits.BinProducts UniMath.CategoryTheory.Limits.Products UniMath.CategoryTheory.Limits.BinCoproducts UniMath.CategoryTheory.Limits.Coproducts UniMath.CategoryTheory.Limits.Terminal UniMath.CategoryTheory.FunctorAlgebras UniMath.CategoryTheory.exponentials UniMath.CategoryTheory.whiskering UniMath.CategoryTheory.Monads.Monads UniMath.SubstitutionSystems.Signatures UniMath.SubstitutionSystems.SumOfSignatures UniMath.SubstitutionSystems.BinProductOfSignatures UniMath.SubstitutionSystems.SimplifiedHSS.SubstitutionSystems UniMath.SubstitutionSystems.LamSignature UniMath.SubstitutionSystems.Notation UniMath.SubstitutionSystems.SimplifiedHSS.BindingSigToMonad UniMath.SubstitutionSystems.SimplifiedHSS.LiftingInitial_alt