fact: Definition nat_trans_to_co_eilenberg_moore_cat {C₁ C₂ : category} (m : Comonad C₂) (F₁ F₂ : C₁ ⟶ co_eilenberg_moore_cat m) (α : F₁ ∙ co_eilenberg_moore_pr m ⟹ F₂ ∙ co_eilenberg_moore_pr m) (p : ∏ (x : C₁), mor_of_co_eilenberg_moore_ob (F₁ x) · # m (α x) = α x · mor_of_co_eilenberg_moore_ob (F₂ x)) : F₁ ⟹ F₂.
imports: UniMath.Foundations.All UniMath.MoreFoundations.All UniMath.CategoryTheory.Core.Categories UniMath.CategoryTheory.Core.Functors UniMath.CategoryTheory.Core.NaturalTransformations UniMath.CategoryTheory.Core.Isos UniMath.CategoryTheory.Core.Univalence UniMath.CategoryTheory.Categories.Dialgebras UniMath.CategoryTheory.Subcategory.Core UniMath.CategoryTheory.Subcategory.Full UniMath.CategoryTheory.Monads.Comonads