fact: Definition CoAlg_category {C : category} (F : functor C C) : category := make_category _ (has_homsets_coalgebra F).
imports: UniMath.Foundations.Propositions UniMath.CategoryTheory.Core.Categories UniMath.CategoryTheory.Core.Isos UniMath.CategoryTheory.Core.Functors UniMath.CategoryTheory.Limits.Terminal