fact: Definition BindingSigToMonad : ∏ (C : category) (BPC : BinProducts C), BinCoproducts C → Terminal C → Initial C → Colims_of_shape nat_graph C → (∏ F, is_omega_cocont (constprod_functor1 (BinProducts_functor_precat C C BPC) F)) → ∏ sig : BindingSig, Coproducts (BindingSigIndex sig) C → Monad C.
imports: UniMath.Foundations.NaturalNumbers UniMath.CategoryTheory.Core.Categories UniMath.CategoryTheory.Core.Isos UniMath.CategoryTheory.Core.Univalence UniMath.CategoryTheory.Core.Functors UniMath.CategoryTheory.FunctorAlgebras UniMath.CategoryTheory.FunctorCategory UniMath.CategoryTheory.Categories.HSET.Core UniMath.CategoryTheory.Categories.HSET.Colimits UniMath.CategoryTheory.Categories.HSET.Limits UniMath.CategoryTheory.Categories.HSET.Structures 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.Chains.All UniMath.CategoryTheory.Adjunctions.Core UniMath.CategoryTheory.ProductCategory UniMath.CategoryTheory.exponentials UniMath.CategoryTheory.whiskering UniMath.CategoryTheory.Monads.Monads UniMath.SubstitutionSystems.SignatureCategory UniMath.SubstitutionSystems.SubstitutionSystems UniMath.SubstitutionSystems.BindingSigToMonad UniMath.SubstitutionSystems.LiftingInitial_alt