fact: Definition CoAlg_precategory_data: precategory_data := make_precategory_data CoAlg_precategory_ob_mor coalgebra_homo_id coalgebra_homo_comp.
imports: UniMath.Foundations.Propositions UniMath.CategoryTheory.Core.Categories UniMath.CategoryTheory.Core.Isos UniMath.CategoryTheory.Core.Functors UniMath.CategoryTheory.Limits.Terminal