fact: Definition CoAlg_precategory {C : category} (F : functor C C) : precategory := make_precategory (CoAlg_precategory_data F) (CoAlg_is_precategory F).
imports: UniMath.Foundations.Propositions UniMath.CategoryTheory.Core.Categories UniMath.CategoryTheory.Core.Isos UniMath.CategoryTheory.Core.Functors UniMath.CategoryTheory.Limits.Terminal