fact: Definition is_coalgebra_mor (X Y : coalgebra_ob) (f : coalg_carrier X --> coalg_carrier Y) : UU := coalg_map X · #F f = f · coalg_map Y.
imports: UniMath.Foundations.Propositions UniMath.MoreFoundations.PartA UniMath.CategoryTheory.Core.Categories UniMath.CategoryTheory.Core.Isos UniMath.CategoryTheory.Core.Functors UniMath.CategoryTheory.Limits.Terminal UniMath.CategoryTheory.Limits.BinCoproducts UniMath.CategoryTheory.DisplayedCats.Core UniMath.CategoryTheory.DisplayedCats.Total