open import Function

open import Data.Unit
open import Data.Product
open import Data.Nat hiding (fold)
open import Data.Fin hiding (fold)

open import Chapter1.Logic

open import Chapter2.IDesc
open import Chapter2.IDesc.Fixpoint
open import Chapter2.IDesc.InitialAlgebra

open import Chapter5.Ornament

module Chapter5.Ornament.Algebra 
           {I K : Set}
           {D : func K K}
           {u : I  K}
           (o : orn D u u) where

open import Chapter5.Ornament.CartesianMorphism o

ornAlgebra : Alg  o ⟧orn (μ D  u)
ornAlgebra xs =  forgetNat xs  

forgetOrnament : μ  o ⟧orn  μ D  u
forgetOrnament = fold  o ⟧orn ornAlgebra