fact: Definition precategory_Coalg_data : precategory_data := (precategory_Coalg_ob_mor,, Coalgebra_mor_id,, Coalgebra_mor_comp).
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