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@ -57,6 +57,13 @@ Afterwards we also introduce categories of iteration algebras with iteration pre
open import Category.Construction.ElgotAlgebras open import Category.Construction.ElgotAlgebras
``` ```
we can form products and exponentials in a canonical way:
```agda
open import Category.Construction.ElgotAlgebras.Products
open import Category.Construction.ElgotAlgebras.Exponentials
```
Free Elgot algebras are free objects in the category of Elgot algebras, we will be needing a notion of stability for them: Free Elgot algebras are free objects in the category of Elgot algebras, we will be needing a notion of stability for them:
```agda ```agda
@ -83,7 +90,7 @@ open import Monad.Instance.K.Commutative
open import Monad.Instance.K.EquationalLifting open import Monad.Instance.K.EquationalLifting
``` ```
and lastly we formalize the notion of *pre-Elgot monad* and show that **K** is the initial (strong) pre-Elgot monad. and lastly we formalize the notion of *(strong) pre-Elgot monad* and show that **K** is the initial (strong) pre-Elgot monad.
```agda ```agda
open import Monad.PreElgot open import Monad.PreElgot