fact: Definition Coalgebra_laws (X : Coalgebra_data) : UU := (Coalg_map X · ε T X = identity X) × (Coalg_map X · δ T X = Coalg_map X · #T (Coalg_map X)).
imports: UniMath.Foundations.PartD UniMath.CategoryTheory.Core.Categories UniMath.CategoryTheory.Core.Functors UniMath.CategoryTheory.Core.NaturalTransformations UniMath.CategoryTheory.whiskering UniMath.CategoryTheory.Adjunctions.Core UniMath.CategoryTheory.Monads.Comonads