fact: Definition is_coalgebra_homo {X Y : coalgebra} (f : C ⟦X, Y⟧) : UU := (coalgebra_mor X) · #F f = f · (coalgebra_mor Y).
imports: UniMath.Foundations.Propositions UniMath.CategoryTheory.Core.Categories UniMath.CategoryTheory.Core.Isos UniMath.CategoryTheory.Core.Functors UniMath.CategoryTheory.Limits.Terminal